%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP130-3.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:24:28 PM UTC 2026
% Result : Satisfiable 153.20s 91.90s
% Output : Saturation 153.69s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(qg3,negated_conjecture,
( product(X4,X2,X1)
| ~ product(X1,X2,X3)
| ~ product(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(cycle2,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(cycle4,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle4) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle3) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(cycle5,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle5) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(cycle1,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle1) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(c_0_42,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_43,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_44,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_45,plain,
( product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_46,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_47,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_48,plain,
( product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_44]),
[final] ).
cnf(c_0_49,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_50,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_51,plain,
( product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_47]),
[final] ).
cnf(c_0_52,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_46]),
[final] ).
cnf(c_0_53,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_54,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_55,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_56,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]),
[final] ).
cnf(c_0_57,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_58,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( product(X4,X2,X1)
| ~ product(X1,X2,X3)
| ~ product(X1,X3,X4) ),
qg3,
[final] ).
cnf(c_0_60,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_57]) ).
cnf(c_0_61,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_62,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_63,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_69,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_70,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_72,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_62]) ).
cnf(c_0_75,plain,
( product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_46]),
[final] ).
cnf(c_0_76,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_74]) ).
cnf(c_0_77,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_62]),
[final] ).
cnf(c_0_78,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_46]),
[final] ).
cnf(c_0_79,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_76]),c_0_71]) ).
cnf(c_0_80,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_77]),
[final] ).
cnf(c_0_81,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_78]),
[final] ).
cnf(c_0_82,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_83,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_79]) ).
cnf(c_0_84,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_85,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]),
[final] ).
cnf(c_0_86,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_50]),
[final] ).
cnf(c_0_88,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_50]),c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_83]),c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_92,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_94,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_90]),c_0_91]),
[final] ).
cnf(c_0_96,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_92]),c_0_93]),
[final] ).
cnf(c_0_97,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_96]),
[final] ).
cnf(c_0_100,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_101,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_84]) ).
cnf(c_0_102,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_89]) ).
cnf(c_0_103,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_50]),
[final] ).
cnf(c_0_104,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_52]),c_0_100]),
[final] ).
cnf(c_0_105,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_102]),c_0_71]) ).
cnf(c_0_107,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_103]),
[final] ).
cnf(c_0_108,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_104]),
[final] ).
cnf(c_0_109,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_91]) ).
cnf(c_0_110,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_50]) ).
cnf(c_0_111,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_52]) ).
cnf(c_0_112,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_113,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_109]),
[final] ).
cnf(c_0_114,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_111]) ).
cnf(c_0_116,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_117,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_89]) ).
cnf(c_0_118,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_110]) ).
cnf(c_0_120,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_115]),c_0_116]),
[final] ).
cnf(c_0_121,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_93]),
[final] ).
cnf(c_0_122,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_120]),
[final] ).
cnf(c_0_124,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_121]),
[final] ).
cnf(c_0_125,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_121]),c_0_55]) ).
cnf(c_0_126,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_95]),c_0_82]),
[final] ).
cnf(c_0_127,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_113]),
[final] ).
cnf(c_0_128,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_95]),
[final] ).
cnf(c_0_129,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_126]),
[final] ).
cnf(c_0_131,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_106]) ).
cnf(c_0_132,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_104]) ).
cnf(c_0_133,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_119]) ).
cnf(c_0_135,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_71]) ).
cnf(c_0_138,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_135]),c_0_93]) ).
cnf(c_0_139,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_95]),
[final] ).
cnf(c_0_140,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_136]),c_0_116]) ).
cnf(c_0_141,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_137]),c_0_62]) ).
cnf(c_0_142,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_138]),c_0_55]) ).
cnf(c_0_144,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_93]),
[final] ).
cnf(c_0_145,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_43]),
[final] ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_141]),c_0_71]) ).
cnf(c_0_147,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_144]),
[final] ).
cnf(c_0_149,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_145]),
[final] ).
cnf(c_0_150,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_146]),c_0_84]) ).
cnf(c_0_151,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_119]) ).
cnf(c_0_153,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_71]) ).
cnf(c_0_154,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_71]) ).
cnf(c_0_155,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_156,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_153]),c_0_84]) ).
cnf(c_0_157,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_147]) ).
cnf(c_0_159,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_154]),c_0_62]) ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_156]) ).
cnf(c_0_162,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
cnf(c_0_163,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_93]) ).
cnf(c_0_165,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_163]),c_0_84]) ).
cnf(c_0_167,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_43]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_164]) ).
cnf(c_0_169,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_82]) ).
cnf(c_0_170,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_166]) ).
cnf(c_0_171,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_167]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_166]),c_0_91]) ).
cnf(c_0_173,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_169]) ).
cnf(c_0_175,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_166]),c_0_91]) ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_172]) ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_93]) ).
cnf(c_0_178,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_179,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_175]) ).
cnf(c_0_180,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_182,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_93]) ).
cnf(c_0_183,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_181]) ).
cnf(c_0_184,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_182]),c_0_84]) ).
cnf(c_0_185,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_100]) ).
cnf(c_0_186,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_177]) ).
cnf(c_0_187,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_182]),c_0_100]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_178]) ).
cnf(c_0_190,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_44]) ).
cnf(c_0_191,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_189]),c_0_84]) ).
cnf(c_0_193,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_190]) ).
cnf(c_0_194,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_50]),
[final] ).
cnf(c_0_195,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_191]) ).
cnf(c_0_196,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_192]) ).
cnf(c_0_197,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_192]),c_0_82]) ).
cnf(c_0_198,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_192]),c_0_100]) ).
cnf(c_0_199,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_192]),c_0_91]) ).
cnf(c_0_200,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_138]) ).
cnf(c_0_201,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_202,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_196,c_0_199]) ).
cnf(c_0_204,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_178]) ).
cnf(c_0_205,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_201]) ).
cnf(c_0_206,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_202,c_0_198]) ).
cnf(c_0_207,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_203]) ).
cnf(c_0_208,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_204]) ).
cnf(c_0_209,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_82]) ).
cnf(c_0_210,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_192]) ).
cnf(c_0_211,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_207,c_0_203]) ).
cnf(c_0_212,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_192]) ).
cnf(c_0_213,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_71]) ).
cnf(c_0_214,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_62]) ).
cnf(c_0_215,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_91]) ).
cnf(c_0_216,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_214]) ).
cnf(c_0_217,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_215]) ).
cnf(c_0_218,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_215]),c_0_116]) ).
cnf(c_0_219,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_217,c_0_192]) ).
cnf(c_0_220,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_218]) ).
cnf(c_0_221,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_219]) ).
cnf(c_0_222,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_192]) ).
cnf(c_0_223,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_150]),c_0_82]) ).
cnf(c_0_224,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_192]) ).
cnf(c_0_225,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_100]) ).
cnf(c_0_226,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_223]) ).
cnf(c_0_227,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_223]) ).
cnf(c_0_228,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_100]) ).
cnf(c_0_229,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_93]) ).
cnf(c_0_230,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_228]) ).
cnf(c_0_231,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_229]) ).
cnf(c_0_232,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_228]) ).
cnf(c_0_233,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_231,c_0_150]) ).
cnf(c_0_234,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_232]),c_0_178]) ).
cnf(c_0_235,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_233]) ).
cnf(c_0_236,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_234]) ).
cnf(c_0_237,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_232]),c_0_93]) ).
cnf(c_0_238,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_62]) ).
cnf(c_0_239,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_232]) ).
cnf(c_0_240,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_232]) ).
cnf(c_0_241,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_242,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_238]) ).
cnf(c_0_243,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).
cnf(c_0_244,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_228]) ).
cnf(c_0_245,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_91]) ).
cnf(c_0_246,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_84]) ).
cnf(c_0_247,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_246]) ).
cnf(c_0_248,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_234]) ).
cnf(c_0_249,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_247,c_0_246]) ).
cnf(c_0_250,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_246]) ).
cnf(c_0_251,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_100]) ).
cnf(c_0_252,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_93]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_252]),c_0_241]) ).
cnf(c_0_254,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_253]) ).
cnf(c_0_255,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_121]),
[final] ).
cnf(c_0_256,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_254,c_0_253]) ).
cnf(c_0_257,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_71]) ).
cnf(c_0_258,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_257]) ).
cnf(c_0_259,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_190]) ).
cnf(c_0_260,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_258]) ).
cnf(c_0_261,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_130,c_0_256]) ).
cnf(c_0_262,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_259,c_0_190]) ).
cnf(c_0_263,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_256]) ).
cnf(c_0_264,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_71]) ).
cnf(c_0_265,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_190]) ).
cnf(c_0_266,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_262]) ).
cnf(c_0_267,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_62]) ).
cnf(c_0_268,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_116]) ).
cnf(c_0_270,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_267]),c_0_71]) ).
cnf(c_0_271,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_268]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_269]) ).
cnf(c_0_273,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_252]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_270]),c_0_84]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_252]),c_0_57]) ).
cnf(c_0_276,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_262]) ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_272,c_0_262]) ).
cnf(c_0_278,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_71]) ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_275]) ).
cnf(c_0_280,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_100]) ).
cnf(c_0_281,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_278]) ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_279,c_0_275]) ).
cnf(c_0_283,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_191]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_280]) ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_256]),c_0_82]) ).
cnf(c_0_286,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_275]) ).
cnf(c_0_287,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_288,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_278]),c_0_91]) ).
cnf(c_0_289,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_91]) ).
cnf(c_0_290,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_116]) ).
cnf(c_0_291,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_288]),c_0_84]) ).
cnf(c_0_292,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_289]),c_0_91]) ).
cnf(c_0_293,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_290]),c_0_84]) ).
cnf(c_0_294,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_291]) ).
cnf(c_0_295,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_292]),c_0_71]) ).
cnf(c_0_296,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_293]) ).
cnf(c_0_297,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_116]) ).
cnf(c_0_298,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_291]) ).
cnf(c_0_299,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_291]) ).
cnf(c_0_300,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_297]) ).
cnf(c_0_301,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_298,c_0_297]) ).
cnf(c_0_302,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_299]) ).
cnf(c_0_303,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_91]) ).
cnf(c_0_304,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_293]) ).
cnf(c_0_305,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_93]) ).
cnf(c_0_306,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_62]) ).
cnf(c_0_307,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_167]),c_0_100]) ).
cnf(c_0_308,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_306]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_307]) ).
cnf(c_0_310,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_305]) ).
cnf(c_0_311,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_308,c_0_295]) ).
cnf(c_0_312,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_295]) ).
cnf(c_0_313,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_309,c_0_167]) ).
cnf(c_0_314,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_306]) ).
cnf(c_0_315,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_116]) ).
cnf(c_0_316,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_312]),c_0_93]) ).
cnf(c_0_317,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_47]) ).
cnf(c_0_318,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_162]) ).
cnf(c_0_319,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_313]) ).
cnf(c_0_320,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_93]) ).
cnf(c_0_321,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_316]) ).
cnf(c_0_322,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_317]) ).
cnf(c_0_323,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_318,c_0_162]) ).
cnf(c_0_324,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_319,c_0_167]) ).
cnf(c_0_325,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_320]) ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_320]),c_0_100]) ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_252]),c_0_82]) ).
cnf(c_0_328,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_323]) ).
cnf(c_0_329,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_252]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_324]) ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_91]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_327]) ).
cnf(c_0_333,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_327]),c_0_241]) ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_262]) ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_329,c_0_327]) ).
cnf(c_0_336,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_330,c_0_167]) ).
cnf(c_0_337,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_331]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_71]) ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_57]) ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_336]) ).
cnf(c_0_341,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_252]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_338]) ).
cnf(c_0_343,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_339]),c_0_84]) ).
cnf(c_0_344,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_278]) ).
cnf(c_0_345,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_278]),c_0_93]) ).
cnf(c_0_346,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_341]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_335]) ).
cnf(c_0_348,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_62]) ).
cnf(c_0_349,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_100]) ).
cnf(c_0_350,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_257]) ).
cnf(c_0_351,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_261]),c_0_116]) ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_82]) ).
cnf(c_0_353,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_349]),c_0_241]) ).
cnf(c_0_354,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_341]),c_0_100]) ).
cnf(c_0_355,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_351]),c_0_62]) ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_352]),c_0_100]) ).
cnf(c_0_357,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_353]),c_0_84]) ).
cnf(c_0_358,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_354]) ).
cnf(c_0_359,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_355]),c_0_116]) ).
cnf(c_0_360,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_356]) ).
cnf(c_0_361,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_256]) ).
cnf(c_0_362,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_357]) ).
cnf(c_0_363,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_84]) ).
cnf(c_0_364,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_360,c_0_252]) ).
cnf(c_0_365,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_361,c_0_89]) ).
cnf(c_0_366,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_293]) ).
cnf(c_0_367,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_362,c_0_293]) ).
cnf(c_0_368,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_52]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_363]),c_0_71]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_364]) ).
cnf(c_0_371,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_365]) ).
cnf(c_0_372,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_95]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_91]) ).
cnf(c_0_374,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_82]) ).
cnf(c_0_375,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_261]),c_0_116]) ).
cnf(c_0_376,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_371]),c_0_55]) ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_357]) ).
cnf(c_0_378,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_100]) ).
cnf(c_0_379,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_374]) ).
cnf(c_0_380,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_364]),c_0_100]) ).
cnf(c_0_381,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_375]),c_0_62]) ).
cnf(c_0_382,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_376]) ).
cnf(c_0_383,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_116]) ).
cnf(c_0_384,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_147]) ).
cnf(c_0_385,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_379,c_0_256]) ).
cnf(c_0_386,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_380]) ).
cnf(c_0_387,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_381]),c_0_116]) ).
cnf(c_0_388,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_373]),c_0_100]) ).
cnf(c_0_389,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_373]) ).
cnf(c_0_390,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_383]),c_0_62]) ).
cnf(c_0_391,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_384]),c_0_82]) ).
cnf(c_0_392,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_384]) ).
cnf(c_0_393,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_385]),c_0_116]) ).
cnf(c_0_394,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_84]) ).
cnf(c_0_395,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_388]) ).
cnf(c_0_396,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_116]) ).
cnf(c_0_397,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_384]),c_0_91]) ).
cnf(c_0_398,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_391]) ).
cnf(c_0_399,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_392,c_0_391]) ).
cnf(c_0_400,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_384]),c_0_91]) ).
cnf(c_0_401,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_341]),c_0_100]) ).
cnf(c_0_402,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_393]),c_0_62]) ).
cnf(c_0_403,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_394]),c_0_71]) ).
cnf(c_0_404,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_373]),c_0_100]) ).
cnf(c_0_405,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_84]) ).
cnf(c_0_406,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_397]) ).
cnf(c_0_407,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_93]) ).
cnf(c_0_408,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_400]) ).
cnf(c_0_409,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_392,c_0_400]) ).
cnf(c_0_410,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_401]) ).
cnf(c_0_411,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_402]),c_0_116]) ).
cnf(c_0_412,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_43]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_262]) ).
cnf(c_0_414,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_403]) ).
cnf(c_0_415,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_403]),c_0_93]) ).
cnf(c_0_416,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_404]) ).
cnf(c_0_417,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_405]),c_0_71]) ).
cnf(c_0_418,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_178]) ).
cnf(c_0_419,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_93]) ).
cnf(c_0_420,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_84]) ).
cnf(c_0_421,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_412]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_356]),c_0_241]) ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_100]) ).
cnf(c_0_424,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_396]),c_0_84]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_357]) ).
cnf(c_0_426,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_417]),c_0_241]) ).
cnf(c_0_427,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_418]) ).
cnf(c_0_428,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_419]),c_0_84]) ).
cnf(c_0_429,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_420]),c_0_71]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_252]),c_0_55]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_422]) ).
cnf(c_0_432,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_423]),c_0_241]) ).
cnf(c_0_433,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_417]) ).
cnf(c_0_434,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_424]),c_0_71]) ).
cnf(c_0_435,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_116]) ).
cnf(c_0_436,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_100]) ).
cnf(c_0_437,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_407]) ).
cnf(c_0_438,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_429]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_430]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_369]),c_0_84]) ).
cnf(c_0_441,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_356]) ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_100]) ).
cnf(c_0_443,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_373]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_434]) ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_362,c_0_435]) ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_436]) ).
cnf(c_0_447,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_419]),c_0_100]) ).
cnf(c_0_448,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_438,c_0_341]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_369]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_55]) ).
cnf(c_0_451,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_364]) ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_84]) ).
cnf(c_0_453,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_443]) ).
cnf(c_0_454,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_455,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_178]) ).
cnf(c_0_456,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_448]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_458,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_93]) ).
cnf(c_0_459,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_417]) ).
cnf(c_0_460,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_461,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6,
[final] ).
cnf(c_0_462,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_463,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_464,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
cycle2,
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_455]),c_0_84]) ).
cnf(c_0_466,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_91]) ).
cnf(c_0_467,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_369]),c_0_100]) ).
cnf(c_0_468,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_458]) ).
cnf(c_0_469,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_178]) ).
cnf(c_0_470,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_463])]),
[final] ).
cnf(c_0_471,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_44]) ).
cnf(c_0_472,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_465]) ).
cnf(c_0_473,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_465]),c_0_91]) ).
cnf(c_0_474,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_466]),c_0_91]) ).
cnf(c_0_475,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_331]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_467]),c_0_93]) ).
cnf(c_0_477,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_206]) ).
cnf(c_0_478,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_84]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_206]),c_0_71]) ).
cnf(c_0_480,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_138]) ).
cnf(c_0_481,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_482,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_484,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_474]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_71]) ).
cnf(c_0_486,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_241]) ).
cnf(c_0_487,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_479]) ).
cnf(c_0_488,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_480]),c_0_84]) ).
cnf(c_0_489,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_481]),c_0_482])]) ).
cnf(c_0_490,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_483]) ).
cnf(c_0_491,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_465]),c_0_82]) ).
cnf(c_0_492,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_465]),c_0_100]) ).
cnf(c_0_493,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_448]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_495,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_486]) ).
cnf(c_0_496,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_62]) ).
cnf(c_0_497,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_489,c_0_471]) ).
cnf(c_0_498,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_465]) ).
cnf(c_0_499,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_490,c_0_483]) ).
cnf(c_0_500,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_472,c_0_491]) ).
cnf(c_0_501,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_492]) ).
cnf(c_0_502,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_82]) ).
cnf(c_0_503,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_504,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_55]) ).
cnf(c_0_505,plain,
( product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_497]) ).
cnf(c_0_506,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_62]) ).
cnf(c_0_507,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_500]),c_0_178]) ).
cnf(c_0_508,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_500]) ).
cnf(c_0_509,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_501,c_0_492]) ).
cnf(c_0_510,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_485]) ).
cnf(c_0_511,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_502]),c_0_91]) ).
cnf(c_0_512,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_503]) ).
cnf(c_0_513,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_504]),c_0_91]) ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_497]) ).
cnf(c_0_515,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_84]) ).
cnf(c_0_516,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_507]) ).
cnf(c_0_517,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_82]) ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_293]),c_0_71]) ).
cnf(c_0_519,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_241]) ).
cnf(c_0_520,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_503]) ).
cnf(c_0_521,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_71]) ).
cnf(c_0_522,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_214]),c_0_84]) ).
cnf(c_0_523,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_524,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_465]) ).
cnf(c_0_525,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_517]),c_0_71]) ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_514,c_0_518]) ).
cnf(c_0_527,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_519]),c_0_82]) ).
cnf(c_0_528,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_228]),c_0_178]) ).
cnf(c_0_529,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_503]),c_0_241]) ).
cnf(c_0_530,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_178]) ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_514,c_0_522]) ).
cnf(c_0_532,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_523]),c_0_84]) ).
cnf(c_0_533,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_506]) ).
cnf(c_0_534,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_91]) ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_526]),c_0_71]) ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_527]),c_0_91]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_528]),c_0_71]) ).
cnf(c_0_538,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_529]) ).
cnf(c_0_539,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_530]),c_0_71]) ).
cnf(c_0_540,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_531]),c_0_84]) ).
cnf(c_0_541,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_532]) ).
cnf(c_0_542,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_116]) ).
cnf(c_0_543,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_535]),c_0_55]) ).
cnf(c_0_544,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_536]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_537]) ).
cnf(c_0_546,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_100]) ).
cnf(c_0_547,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_540]) ).
cnf(c_0_548,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_178]) ).
cnf(c_0_549,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_535]) ).
cnf(c_0_550,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_543]),c_0_62]) ).
cnf(c_0_551,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_544,c_0_429]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_93]) ).
cnf(c_0_553,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_503]) ).
cnf(c_0_554,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_218]),c_0_178]) ).
cnf(c_0_555,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_548]),c_0_84]) ).
cnf(c_0_556,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_71]) ).
cnf(c_0_557,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_449,c_0_551]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_552]) ).
cnf(c_0_559,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_553,c_0_552]) ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_554]),c_0_84]) ).
cnf(c_0_561,negated_conjecture,
( product(e_1,e_1,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_555]) ).
cnf(c_0_562,negated_conjecture,
( product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_556]),c_0_84]) ).
cnf(c_0_563,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_557]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_178]) ).
cnf(c_0_565,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_560]) ).
cnf(c_0_566,negated_conjecture,
( product(e_1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_562]),c_0_100]) ).
cnf(c_0_567,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_241]) ).
cnf(c_0_568,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
cycle4,
[final] ).
cnf(c_0_569,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_570,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_562]) ).
cnf(c_0_571,negated_conjecture,
( product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_241]) ).
cnf(c_0_572,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_567]) ).
cnf(c_0_573,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_568,c_0_569]),
[final] ).
cnf(c_0_574,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_571]),c_0_116]) ).
cnf(c_0_575,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_572,c_0_564]) ).
cnf(c_0_576,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_573,c_0_574]) ).
cnf(c_0_577,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_578,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_145]),c_0_241]) ).
cnf(c_0_579,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_575]) ).
cnf(c_0_580,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_581,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_43]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_578]) ).
cnf(c_0_583,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_579,c_0_575]) ).
cnf(c_0_584,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_551]),
[final] ).
cnf(c_0_585,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_586,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_582,c_0_145]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_583]) ).
cnf(c_0_589,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_583]),c_0_55]) ).
cnf(c_0_590,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_71]) ).
cnf(c_0_591,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_587]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_147]) ).
cnf(c_0_593,negated_conjecture,
product(e_1,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_71]),
[final] ).
cnf(c_0_594,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_241]) ).
cnf(c_0_595,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_596,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_580,c_0_590]) ).
cnf(c_0_597,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_145]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_591,c_0_145]) ).
cnf(c_0_600,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_593]),c_0_241]) ).
cnf(c_0_601,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_594]) ).
cnf(c_0_602,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_126]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_126]) ).
cnf(c_0_604,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_568,c_0_595]),
[final] ).
cnf(c_0_605,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_82]) ).
cnf(c_0_606,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_598,c_0_599]) ).
cnf(c_0_607,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_54]) ).
cnf(c_0_608,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_600]),c_0_91]) ).
cnf(c_0_609,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_229]) ).
cnf(c_0_610,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_60]),c_0_100]) ).
cnf(c_0_611,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_91]) ).
cnf(c_0_612,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_604,c_0_605]) ).
cnf(c_0_613,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_606]) ).
cnf(c_0_614,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_145]),c_0_82]) ).
cnf(c_0_615,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_606]) ).
cnf(c_0_616,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_608]) ).
cnf(c_0_617,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_608]),c_0_241]) ).
cnf(c_0_618,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_610]) ).
cnf(c_0_619,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_611]),
[final] ).
cnf(c_0_620,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_612,c_0_597]) ).
cnf(c_0_621,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_241]) ).
cnf(c_0_623,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_615]),c_0_93]) ).
cnf(c_0_624,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_120]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_600]) ).
cnf(c_0_626,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_627,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_64]),c_0_82]) ).
cnf(c_0_628,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_126]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_619]) ).
cnf(c_0_630,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_631,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_622]) ).
cnf(c_0_632,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_623]),c_0_82]) ).
cnf(c_0_633,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_599]),c_0_82]) ).
cnf(c_0_634,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_593]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_626]),c_0_62]) ).
cnf(c_0_636,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_627]) ).
cnf(c_0_637,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_629]),c_0_93]) ).
cnf(c_0_638,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_586]),c_0_84]) ).
cnf(c_0_639,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_632]),c_0_71]) ).
cnf(c_0_640,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_633]),c_0_100]) ).
cnf(c_0_641,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_635]),c_0_71]) ).
cnf(c_0_642,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_600]) ).
cnf(c_0_643,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_600]),c_0_82]) ).
cnf(c_0_644,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_636]),c_0_178]) ).
cnf(c_0_645,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_637]),c_0_84]) ).
cnf(c_0_646,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7,
[final] ).
cnf(c_0_647,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_580,c_0_638]) ).
cnf(c_0_648,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_649,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_639]) ).
cnf(c_0_650,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_640]),c_0_84]) ).
cnf(c_0_651,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_641]) ).
cnf(c_0_652,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_642,c_0_643]) ).
cnf(c_0_653,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_600]),c_0_91]) ).
cnf(c_0_654,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_58]),c_0_82]) ).
cnf(c_0_655,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_644]) ).
cnf(c_0_656,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_645]) ).
cnf(c_0_657,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_462]) ).
cnf(c_0_658,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_648]),c_0_91]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_650]),c_0_62]) ).
cnf(c_0_660,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_608]) ).
cnf(c_0_661,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_116]) ).
cnf(c_0_662,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_653]) ).
cnf(c_0_663,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_642,c_0_653]) ).
cnf(c_0_664,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_138]),c_0_241]) ).
cnf(c_0_665,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_654]) ).
cnf(c_0_666,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_655]),c_0_71]) ).
cnf(c_0_667,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_656]),c_0_178]) ).
cnf(c_0_668,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_658]),c_0_595])]) ).
cnf(c_0_669,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_659]),c_0_178]) ).
cnf(c_0_670,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_178]) ).
cnf(c_0_671,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_663]),c_0_93]) ).
cnf(c_0_672,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_664]) ).
cnf(c_0_673,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_666]),c_0_100]) ).
cnf(c_0_674,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_667]),c_0_71]) ).
cnf(c_0_675,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_577]),c_0_93]) ).
cnf(c_0_676,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_669]),c_0_84]) ).
cnf(c_0_677,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_412]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_670]) ).
cnf(c_0_679,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_671]),c_0_84]) ).
cnf(c_0_680,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_280]),c_0_84]) ).
cnf(c_0_681,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_268]),c_0_82]) ).
cnf(c_0_682,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_673]) ).
cnf(c_0_683,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_674]),c_0_84]) ).
cnf(c_0_684,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_667]) ).
cnf(c_0_685,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_323]) ).
cnf(c_0_686,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_666]) ).
cnf(c_0_687,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_675]) ).
cnf(c_0_688,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_675]) ).
cnf(c_0_689,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_676]) ).
cnf(c_0_690,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_677,c_0_676]) ).
cnf(c_0_691,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_100]) ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_680]),c_0_91]) ).
cnf(c_0_693,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_681]) ).
cnf(c_0_694,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_268]),c_0_100]) ).
cnf(c_0_695,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_666]) ).
cnf(c_0_696,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_682]),c_0_178]) ).
cnf(c_0_697,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_683]) ).
cnf(c_0_698,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_684,c_0_683]) ).
cnf(c_0_699,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_323]) ).
cnf(c_0_700,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_685,c_0_52]) ).
cnf(c_0_701,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_162]) ).
cnf(c_0_702,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_323]) ).
cnf(c_0_703,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_686,c_0_666]) ).
cnf(c_0_704,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_256]) ).
cnf(c_0_705,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_687,c_0_688]) ).
cnf(c_0_706,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_676]) ).
cnf(c_0_707,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_690]),c_0_93]) ).
cnf(c_0_708,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_691]),c_0_71]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_692]) ).
cnf(c_0_710,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_693,c_0_268]) ).
cnf(c_0_711,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_694]) ).
cnf(c_0_712,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_167]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_696]),c_0_91]) ).
cnf(c_0_714,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_93]) ).
cnf(c_0_715,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_100]) ).
cnf(c_0_716,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_702]),c_0_93]) ).
cnf(c_0_717,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_703]) ).
cnf(c_0_718,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_688]) ).
cnf(c_0_719,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_705]),c_0_82]) ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_707]),c_0_71]) ).
cnf(c_0_721,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_708]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_708]),c_0_62]) ).
cnf(c_0_723,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_268]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_710]) ).
cnf(c_0_725,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_711,c_0_694]) ).
cnf(c_0_726,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_712,c_0_313]) ).
cnf(c_0_727,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_96]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_713]) ).
cnf(c_0_729,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_412]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_683]) ).
cnf(c_0_731,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_714]),c_0_100]) ).
cnf(c_0_732,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_715]) ).
cnf(c_0_733,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_716]),c_0_82]) ).
cnf(c_0_734,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_717]),c_0_84]) ).
cnf(c_0_735,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_719]),c_0_116]) ).
cnf(c_0_736,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_720]) ).
cnf(c_0_737,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_96]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_739,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_723,c_0_681]) ).
cnf(c_0_740,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_725]),c_0_93]) ).
cnf(c_0_741,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_726]) ).
cnf(c_0_742,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_313]),c_0_82]) ).
cnf(c_0_743,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_728]),c_0_71]) ).
cnf(c_0_744,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_145]),c_0_57]) ).
cnf(c_0_745,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_145]),c_0_55]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_178]) ).
cnf(c_0_747,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_714]),c_0_62]) ).
cnf(c_0_748,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_732,c_0_715]) ).
cnf(c_0_749,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_733]) ).
cnf(c_0_750,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_734]),c_0_241]) ).
cnf(c_0_751,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_735]),c_0_71]) ).
cnf(c_0_752,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_676]) ).
cnf(c_0_753,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_676]) ).
cnf(c_0_754,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_412]),c_0_82]) ).
cnf(c_0_755,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_121]),c_0_241]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_738]),c_0_178]) ).
cnf(c_0_757,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_739]) ).
cnf(c_0_758,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_740]) ).
cnf(c_0_759,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_726]) ).
cnf(c_0_760,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_742]),c_0_55]) ).
cnf(c_0_761,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_743]) ).
cnf(c_0_762,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_744]) ).
cnf(c_0_763,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_745]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_746]) ).
cnf(c_0_765,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_747]),c_0_71]) ).
cnf(c_0_766,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_748]) ).
cnf(c_0_767,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_750]),c_0_55]) ).
cnf(c_0_768,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_751]) ).
cnf(c_0_769,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_751]),c_0_55]) ).
cnf(c_0_770,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_752,c_0_753]) ).
cnf(c_0_771,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_754]) ).
cnf(c_0_772,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_677,c_0_754]) ).
cnf(c_0_773,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_755]) ).
cnf(c_0_774,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_708]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_756]),c_0_178]) ).
cnf(c_0_776,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_121]) ).
cnf(c_0_777,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_758]),c_0_241]) ).
cnf(c_0_778,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_760]),c_0_82]) ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_761]),c_0_84]),
[final] ).
cnf(c_0_780,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_781,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_744]) ).
cnf(c_0_782,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_587]) ).
cnf(c_0_783,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_744]),c_0_62]) ).
cnf(c_0_784,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_683]) ).
cnf(c_0_785,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_765]),c_0_82]) ).
cnf(c_0_786,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_767]),c_0_91]) ).
cnf(c_0_787,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_751]) ).
cnf(c_0_788,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_768,c_0_769]) ).
cnf(c_0_789,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_121]),
[final] ).
cnf(c_0_790,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_770]),c_0_71]) ).
cnf(c_0_791,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_772]),c_0_93]),
[final] ).
cnf(c_0_792,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_773]) ).
cnf(c_0_793,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_775]),c_0_91]) ).
cnf(c_0_794,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_89]),c_0_241]) ).
cnf(c_0_795,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_776]),c_0_84]) ).
cnf(c_0_796,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_725]) ).
cnf(c_0_797,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_777]),c_0_178]) ).
cnf(c_0_798,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_778]) ).
cnf(c_0_799,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_779]),c_0_241]) ).
cnf(c_0_800,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_780]),c_0_100]) ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_782]),c_0_116]) ).
cnf(c_0_802,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_783]) ).
cnf(c_0_803,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_784,c_0_785]) ).
cnf(c_0_804,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_786]),c_0_178]) ).
cnf(c_0_805,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_788]),c_0_71]) ).
cnf(c_0_806,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
cycle5,
[final] ).
cnf(c_0_807,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_790]),c_0_82]) ).
cnf(c_0_808,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_791]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_792,c_0_773]) ).
cnf(c_0_810,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_496]),c_0_178]) ).
cnf(c_0_811,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_793]) ).
cnf(c_0_812,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_794]),c_0_55]) ).
cnf(c_0_813,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_794]) ).
cnf(c_0_814,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_144]),c_0_100]) ).
cnf(c_0_815,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_795]) ).
cnf(c_0_816,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_121]),c_0_55]) ).
cnf(c_0_817,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_797]),c_0_91]) ).
cnf(c_0_818,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_55]) ).
cnf(c_0_819,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_800]) ).
cnf(c_0_820,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_801]) ).
cnf(c_0_821,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_802]),c_0_91]) ).
cnf(c_0_822,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_779]),c_0_241]) ).
cnf(c_0_823,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_803]),c_0_178]) ).
cnf(c_0_824,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_804]) ).
cnf(c_0_825,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_684,c_0_804]) ).
cnf(c_0_826,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_805]),c_0_55]) ).
cnf(c_0_827,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_3,X3)
| ~ greater(X4,X2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_806,c_0_581]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_807]),c_0_178]) ).
cnf(c_0_829,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_790]) ).
cnf(c_0_830,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_790]),c_0_241]) ).
cnf(c_0_831,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_809]),c_0_71]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_810]),c_0_91]) ).
cnf(c_0_833,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_599]) ).
cnf(c_0_834,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_811,c_0_708]) ).
cnf(c_0_835,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_812]) ).
cnf(c_0_836,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_814]),c_0_84]) ).
cnf(c_0_837,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_816]),c_0_91]) ).
cnf(c_0_838,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_817]) ).
cnf(c_0_839,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_818]) ).
cnf(c_0_840,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_799]),c_0_57]) ).
cnf(c_0_841,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_82]) ).
cnf(c_0_842,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_822]) ).
cnf(c_0_843,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_822]),c_0_55]) ).
cnf(c_0_844,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_784,c_0_823]) ).
cnf(c_0_845,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_825]),c_0_93]) ).
cnf(c_0_846,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_805]) ).
cnf(c_0_847,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_826]),c_0_62]) ).
cnf(c_0_848,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_827,c_0_482]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_828]) ).
cnf(c_0_850,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_829,c_0_830]) ).
cnf(c_0_851,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_831]) ).
cnf(c_0_852,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_832]) ).
cnf(c_0_853,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_833,c_0_834]),c_0_62]) ).
cnf(c_0_854,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_836]),c_0_62]) ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_587]),c_0_82]) ).
cnf(c_0_856,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_837]),c_0_178]) ).
cnf(c_0_857,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_838,c_0_268]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_62]) ).
cnf(c_0_859,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_841]) ).
cnf(c_0_860,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_842,c_0_843]) ).
cnf(c_0_861,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_844]),c_0_71]) ).
cnf(c_0_862,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_845]) ).
cnf(c_0_863,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_847]),c_0_71]) ).
cnf(c_0_864,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_848,c_0_597]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_790]) ).
cnf(c_0_866,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_850]),c_0_82]) ).
cnf(c_0_867,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_851]),c_0_178]) ).
cnf(c_0_868,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_852,c_0_853]),c_0_82]) ).
cnf(c_0_869,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_854]) ).
cnf(c_0_870,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_814]),c_0_62]) ).
cnf(c_0_871,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_190]),c_0_62]) ).
cnf(c_0_872,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_598,c_0_855]) ).
cnf(c_0_873,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_856]),c_0_91]) ).
cnf(c_0_874,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_857]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_858]),c_0_178]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_859,c_0_841]) ).
cnf(c_0_877,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_860]),c_0_178]) ).
cnf(c_0_878,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_861]) ).
cnf(c_0_879,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_861]),c_0_241]) ).
cnf(c_0_880,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_119]) ).
cnf(c_0_881,negated_conjecture,
( product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_863]),c_0_84]),
[final] ).
cnf(c_0_882,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_604,c_0_658]),
[final] ).
cnf(c_0_883,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1)
| ~ cycle(e_4,X1)
| ~ greater(e_2,X1) ),
inference(spm,[status(thm)],[c_0_864,c_0_658]) ).
cnf(c_0_884,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_866]),c_0_71]) ).
cnf(c_0_885,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_313]) ).
cnf(c_0_886,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_867]),c_0_71]) ).
cnf(c_0_887,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_708]),c_0_100]) ).
cnf(c_0_888,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_852,c_0_868]),c_0_100]) ).
cnf(c_0_889,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_870]),c_0_71]) ).
cnf(c_0_890,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_871]) ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_872]),c_0_91]) ).
cnf(c_0_892,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_121]),c_0_241]) ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_873]) ).
cnf(c_0_894,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_875]),c_0_91]) ).
cnf(c_0_895,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_876]) ).
cnf(c_0_896,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_877]) ).
cnf(c_0_897,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_878,c_0_879]) ).
cnf(c_0_898,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_881]),c_0_241]) ).
cnf(c_0_899,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_882,c_0_577]),
[final] ).
cnf(c_0_900,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_595]),c_0_621])]) ).
cnf(c_0_901,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_884]),c_0_241]) ).
cnf(c_0_902,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_790]),c_0_241]) ).
cnf(c_0_903,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_886]),c_0_84]) ).
cnf(c_0_904,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_867]) ).
cnf(c_0_905,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_887]) ).
cnf(c_0_906,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_708]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_888]),c_0_71]) ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_889]),c_0_84]) ).
cnf(c_0_909,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_891]),c_0_241]) ).
cnf(c_0_910,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_892]) ).
cnf(c_0_911,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_894]),c_0_82]) ).
cnf(c_0_912,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_876]) ).
cnf(c_0_913,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_895,c_0_587]) ).
cnf(c_0_914,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_861]) ).
cnf(c_0_915,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_896,c_0_897]) ).
cnf(c_0_916,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_77]),
[final] ).
cnf(c_0_917,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_898]) ).
cnf(c_0_918,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_899,c_0_900]) ).
cnf(c_0_919,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_901]) ).
cnf(c_0_920,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_829,c_0_902]) ).
cnf(c_0_921,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_903]) ).
cnf(c_0_922,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_904,c_0_903]) ).
cnf(c_0_923,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_905,c_0_887]) ).
cnf(c_0_924,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_100]) ).
cnf(c_0_925,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_908]) ).
cnf(c_0_926,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_891]) ).
cnf(c_0_927,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_909]),c_0_82]) ).
cnf(c_0_928,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_280]),c_0_84]) ).
cnf(c_0_929,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_911]),c_0_100]) ).
cnf(c_0_930,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_913]),c_0_116]) ).
cnf(c_0_931,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_915]),c_0_178]) ).
cnf(c_0_932,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_779]),c_0_55]) ).
cnf(c_0_933,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_917]),c_0_91]) ).
cnf(c_0_934,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_597]),c_0_100]) ).
cnf(c_0_935,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_920]),c_0_82]) ).
cnf(c_0_936,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_877]) ).
cnf(c_0_937,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_921,c_0_922]),c_0_93]) ).
cnf(c_0_938,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_923]) ).
cnf(c_0_939,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_721,c_0_924]) ).
cnf(c_0_940,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_793]) ).
cnf(c_0_941,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_925,c_0_832]) ).
cnf(c_0_942,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_891]) ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_926,c_0_927]) ).
cnf(c_0_944,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_871]) ).
cnf(c_0_945,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_928]),c_0_91]) ).
cnf(c_0_946,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_929]),c_0_241]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_930]) ).
cnf(c_0_948,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_897]) ).
cnf(c_0_949,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_878,c_0_931]) ).
cnf(c_0_950,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_932]) ).
cnf(c_0_951,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_933]) ).
cnf(c_0_952,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_953,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_899,c_0_934]) ).
cnf(c_0_954,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_935]),c_0_84]) ).
cnf(c_0_955,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_936,c_0_903]),c_0_241]) ).
cnf(c_0_956,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_903]) ).
cnf(c_0_957,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_937]),c_0_62]) ).
cnf(c_0_958,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_715]) ).
cnf(c_0_959,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_938,c_0_939]),c_0_55]) ).
cnf(c_0_960,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_832]) ).
cnf(c_0_961,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_940,c_0_941]),c_0_91]) ).
cnf(c_0_962,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_942,c_0_943]),c_0_178]) ).
cnf(c_0_963,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_944,c_0_945]) ).
cnf(c_0_964,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_946]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_946]),c_0_93]) ).
cnf(c_0_966,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_949]),c_0_82]) ).
cnf(c_0_967,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_106]) ).
cnf(c_0_968,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_950]),c_0_91]) ).
cnf(c_0_969,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_951,c_0_952]) ).
cnf(c_0_970,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_577]),c_0_62]),
[final] ).
cnf(c_0_971,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_954]),c_0_241]) ).
cnf(c_0_972,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_955]) ).
cnf(c_0_973,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_957]),c_0_71]) ).
cnf(c_0_974,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_843]) ).
cnf(c_0_975,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_958,c_0_822]),c_0_57]) ).
cnf(c_0_976,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_959]) ).
cnf(c_0_977,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_960,c_0_961]) ).
cnf(c_0_978,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_962]) ).
cnf(c_0_979,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_963]),c_0_82]) ).
cnf(c_0_980,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_965]),c_0_100]) ).
cnf(c_0_981,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_966]),c_0_71]) ).
cnf(c_0_982,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_967,c_0_89]) ).
cnf(c_0_983,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_779]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_968]),c_0_82]) ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_969,c_0_970]) ).
cnf(c_0_986,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_971]),c_0_71]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_903]) ).
cnf(c_0_988,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_972,c_0_973]),c_0_82]) ).
cnf(c_0_989,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_975]),c_0_62]) ).
cnf(c_0_990,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_976,c_0_977]) ).
cnf(c_0_991,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_945]) ).
cnf(c_0_992,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_978,c_0_979]) ).
cnf(c_0_993,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_980]),c_0_71]) ).
cnf(c_0_994,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_981]) ).
cnf(c_0_995,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_982]) ).
cnf(c_0_996,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_984]),c_0_84]) ).
cnf(c_0_997,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_597]),c_0_100]) ).
cnf(c_0_998,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_986]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_987,c_0_988]) ).
cnf(c_0_1000,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_989]),c_0_178]) ).
cnf(c_0_1001,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_924]) ).
cnf(c_0_1002,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_990]),c_0_91]) ).
cnf(c_0_1003,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_991,c_0_992]),c_0_82]) ).
cnf(c_0_1004,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_993]) ).
cnf(c_0_1005,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_993]),c_0_82]) ).
cnf(c_0_1006,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_995]),c_0_93]) ).
cnf(c_0_1007,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_996]) ).
cnf(c_0_1008,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_755]),c_0_116]) ).
cnf(c_0_1009,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_997]) ).
cnf(c_0_1010,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_998,c_0_268]) ).
cnf(c_0_1011,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_999]),c_0_178]) ).
cnf(c_0_1012,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1000]) ).
cnf(c_0_1013,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_904,c_0_1000]) ).
cnf(c_0_1014,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_924]) ).
cnf(c_0_1015,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1001,c_0_1002]),c_0_91]) ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_708]),c_0_62]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1003]) ).
cnf(c_0_1018,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1004,c_0_1005]),c_0_93]) ).
cnf(c_0_1019,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1006]) ).
cnf(c_0_1020,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_779]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1007,c_0_996]) ).
cnf(c_0_1022,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1008]) ).
cnf(c_0_1023,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_1009,c_0_952]) ).
cnf(c_0_1024,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_1010]),c_0_71]) ).
cnf(c_0_1025,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_987,c_0_1011]) ).
cnf(c_0_1026,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1013]),c_0_93]) ).
cnf(c_0_1027,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1014,c_0_1015]) ).
cnf(c_0_1028,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1016]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_832]),c_0_57]) ).
cnf(c_0_1030,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_269]) ).
cnf(c_0_1031,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1017,c_0_962]) ).
cnf(c_0_1032,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_313]),c_0_82]) ).
cnf(c_0_1033,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1018]) ).
cnf(c_0_1034,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_861]),c_0_82]) ).
cnf(c_0_1035,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_861]) ).
cnf(c_0_1036,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1021]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1022,c_0_1008]) ).
cnf(c_0_1038,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_106]) ).
cnf(c_0_1039,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_1023,c_0_970]) ).
cnf(c_0_1040,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_986]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1024]),c_0_71]) ).
cnf(c_0_1042,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_1025]),c_0_71]) ).
cnf(c_0_1043,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1026]) ).
cnf(c_0_1044,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1027]) ).
cnf(c_0_1045,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1028,c_0_1029]),c_0_62]) ).
cnf(c_0_1046,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1030,c_0_1031]),c_0_57]) ).
cnf(c_0_1047,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1003]) ).
cnf(c_0_1048,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_978,c_0_1032]) ).
cnf(c_0_1049,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1018]) ).
cnf(c_0_1050,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1033,c_0_981]) ).
cnf(c_0_1051,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1034]),c_0_178]) ).
cnf(c_0_1052,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_1036]),c_0_93]) ).
cnf(c_0_1053,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_1037]),c_0_71]) ).
cnf(c_0_1054,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_881]),c_0_241]) ).
cnf(c_0_1055,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1039,c_0_597]),c_0_241]) ).
cnf(c_0_1056,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1040,c_0_1041]),c_0_82]) ).
cnf(c_0_1057,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1042]) ).
cnf(c_0_1058,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1042]),c_0_241]) ).
cnf(c_0_1059,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_959]) ).
cnf(c_0_1060,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1044,c_0_1045]),c_0_82]) ).
cnf(c_0_1061,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1046]),c_0_100]) ).
cnf(c_0_1062,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_962]) ).
cnf(c_0_1063,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1047,c_0_1048]),c_0_82]) ).
cnf(c_0_1064,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1018]) ).
cnf(c_0_1065,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_1050]),c_0_93]) ).
cnf(c_0_1066,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1051]) ).
cnf(c_0_1067,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1052]),c_0_178]) ).
cnf(c_0_1068,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_1053]),c_0_91]) ).
cnf(c_0_1069,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_94,c_0_1054]) ).
cnf(c_0_1070,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1055]),c_0_100]) ).
cnf(c_0_1071,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1056]) ).
cnf(c_0_1072,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1057,c_0_1058]) ).
cnf(c_0_1073,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1059,c_0_1060]),c_0_82]) ).
cnf(c_0_1074,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_317]) ).
cnf(c_0_1075,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1061]) ).
cnf(c_0_1076,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1062,c_0_1063]),c_0_84]) ).
cnf(c_0_1077,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1065]),c_0_116]) ).
cnf(c_0_1078,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_1067]),c_0_62]) ).
cnf(c_0_1079,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1068]),c_0_178]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1069]),c_0_93]) ).
cnf(c_0_1081,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1070]) ).
cnf(c_0_1082,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1056]) ).
cnf(c_0_1083,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1071,c_0_986]) ).
cnf(c_0_1084,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_104]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1072]) ).
cnf(c_0_1086,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1057,c_0_875]) ).
cnf(c_0_1087,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_1073]),c_0_91]) ).
cnf(c_0_1088,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1074,c_0_317]) ).
cnf(c_0_1089,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1075,c_0_1076]),c_0_82]) ).
cnf(c_0_1090,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1077]) ).
cnf(c_0_1091,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1078]),c_0_71]) ).
cnf(c_0_1092,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1079]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1080]),c_0_241]) ).
cnf(c_0_1094,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_881]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1081,c_0_1070]) ).
cnf(c_0_1096,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1080]) ).
cnf(c_0_1097,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_1080]) ).
cnf(c_0_1098,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1082,c_0_1083]),c_0_93]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_779]),c_0_241]) ).
cnf(c_0_1100,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1042]) ).
cnf(c_0_1101,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1085,c_0_1086]),c_0_82]) ).
cnf(c_0_1102,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1044,c_0_1087]),c_0_100]) ).
cnf(c_0_1103,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1088]) ).
cnf(c_0_1104,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1089]),c_0_71]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1090,c_0_1091]),c_0_178]) ).
cnf(c_0_1106,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_930]) ).
cnf(c_0_1107,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1092,c_0_930]) ).
cnf(c_0_1108,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_1093]),c_0_57]) ).
cnf(c_0_1109,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1095]),c_0_178]) ).
cnf(c_0_1110,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1096,c_0_1097]),c_0_84]) ).
cnf(c_0_1111,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1098]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_103]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_1099]) ).
cnf(c_0_1114,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1100,c_0_1101]),c_0_84]) ).
cnf(c_0_1115,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_960,c_0_1102]) ).
cnf(c_0_1116,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_834]),c_0_100]) ).
cnf(c_0_1117,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1104]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1105]) ).
cnf(c_0_1119,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1106,c_0_1107]),c_0_93]) ).
cnf(c_0_1120,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_1108]),c_0_91]) ).
cnf(c_0_1121,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_733]) ).
cnf(c_0_1122,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1109]) ).
cnf(c_0_1123,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_1110]),c_0_62]) ).
cnf(c_0_1124,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_734]) ).
cnf(c_0_1125,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1111,c_0_986]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1112,c_0_645]),c_0_100]) ).
cnf(c_0_1127,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_968]) ).
cnf(c_0_1128,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_1113]),c_0_116]) ).
cnf(c_0_1129,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1085,c_0_1114]),c_0_241]) ).
cnf(c_0_1130,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_976,c_0_1115]) ).
cnf(c_0_1131,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_1116]),c_0_100]) ).
cnf(c_0_1132,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1117,c_0_1105]) ).
cnf(c_0_1133,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_1119]),c_0_91]) ).
cnf(c_0_1134,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_993]) ).
cnf(c_0_1135,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1120]) ).
cnf(c_0_1136,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_881]),c_0_241]) ).
cnf(c_0_1137,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1122,c_0_1123]),c_0_55]) ).
cnf(c_0_1138,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_1125]),c_0_100]) ).
cnf(c_0_1139,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1126]) ).
cnf(c_0_1140,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1127,c_0_1128]),c_0_93]) ).
cnf(c_0_1141,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1129]),c_0_71]) ).
cnf(c_0_1142,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_1130]),c_0_91]) ).
cnf(c_0_1143,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1131]) ).
cnf(c_0_1144,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_779]) ).
cnf(c_0_1145,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1132]) ).
cnf(c_0_1146,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_1133]),c_0_93]) ).
cnf(c_0_1147,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1134,c_0_993]) ).
cnf(c_0_1148,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1055]) ).
cnf(c_0_1149,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1055]),c_0_62]) ).
cnf(c_0_1150,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1136]) ).
cnf(c_0_1151,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_192]),c_0_62]) ).
cnf(c_0_1152,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_1137]),c_0_91]) ).
cnf(c_0_1153,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1138]) ).
cnf(c_0_1154,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_1125]),c_0_62]) ).
cnf(c_0_1155,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1139,c_0_1126]) ).
cnf(c_0_1156,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1140]),c_0_84]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1141]) ).
cnf(c_0_1158,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1142]) ).
cnf(c_0_1159,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1143,c_0_1142]),c_0_93]) ).
cnf(c_0_1160,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1144]),c_0_71]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1145,c_0_1146]),c_0_57]) ).
cnf(c_0_1162,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1147]) ).
cnf(c_0_1163,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1148,c_0_1149]) ).
cnf(c_0_1164,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1150,c_0_323]) ).
cnf(c_0_1165,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1151]) ).
cnf(c_0_1166,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1152]),c_0_57]) ).
cnf(c_0_1167,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1153,c_0_1154]),c_0_82]) ).
cnf(c_0_1168,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_1155]),c_0_71]) ).
cnf(c_0_1169,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1156]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1157,c_0_1141]) ).
cnf(c_0_1171,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_593]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1158,c_0_1159]),c_0_100]) ).
cnf(c_0_1173,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1160]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1161]),c_0_71]) ).
cnf(c_0_1175,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1105]) ).
cnf(c_0_1176,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1162,c_0_1146]),c_0_55]) ).
cnf(c_0_1177,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_1163]),c_0_178]) ).
cnf(c_0_1178,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1164]) ).
cnf(c_0_1179,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1165,c_0_1166]),c_0_62]) ).
cnf(c_0_1180,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1167]),c_0_178]) ).
cnf(c_0_1181,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_1182,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_1168]) ).
cnf(c_0_1183,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_1170]),c_0_116]) ).
cnf(c_0_1184,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1160]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1171,c_0_1172]),c_0_178]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1173,c_0_779]) ).
cnf(c_0_1187,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1156]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1174]) ).
cnf(c_0_1189,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1175,c_0_1174]) ).
cnf(c_0_1190,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1176]),c_0_71]) ).
cnf(c_0_1191,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1055]) ).
cnf(c_0_1192,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1122,c_0_1177]),c_0_55]) ).
cnf(c_0_1193,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_215]) ).
cnf(c_0_1194,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1178,c_0_1152]) ).
cnf(c_0_1195,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1109]) ).
cnf(c_0_1196,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1179]),c_0_71]) ).
cnf(c_0_1197,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1180]),c_0_71]) ).
cnf(c_0_1198,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_145]),c_0_1181])]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1182]),c_0_178]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1183]) ).
cnf(c_0_1201,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_1170]),c_0_93]) ).
cnf(c_0_1202,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1185]),c_0_241]) ).
cnf(c_0_1203,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1186]) ).
cnf(c_0_1204,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1187,c_0_1156]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1188,c_0_1189]),c_0_116]) ).
cnf(c_0_1206,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1190]) ).
cnf(c_0_1207,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1175,c_0_1190]) ).
cnf(c_0_1208,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1191,c_0_1192]),c_0_91]) ).
cnf(c_0_1209,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_1152]),c_0_71]) ).
cnf(c_0_1210,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1152]) ).
cnf(c_0_1211,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1193,c_0_1194]),c_0_91]) ).
cnf(c_0_1212,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1195,c_0_1196]),c_0_82]) ).
cnf(c_0_1213,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1197]) ).
cnf(c_0_1214,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1198,c_0_581]) ).
cnf(c_0_1215,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1199]),c_0_71]) ).
cnf(c_0_1216,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_779]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1200,c_0_1201]),c_0_91]) ).
cnf(c_0_1218,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1202]) ).
cnf(c_0_1219,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_1204]),c_0_62]) ).
cnf(c_0_1220,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1205]) ).
cnf(c_0_1221,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1206,c_0_1207]),c_0_116]) ).
cnf(c_0_1222,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1208]) ).
cnf(c_0_1223,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_1209]),c_0_178]) ).
cnf(c_0_1224,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1109]) ).
cnf(c_0_1225,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1210,c_0_1211]) ).
cnf(c_0_1226,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_214]) ).
cnf(c_0_1227,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_1212]),c_0_91]) ).
cnf(c_0_1228,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1213,c_0_1125]) ).
cnf(c_0_1229,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1214]) ).
cnf(c_0_1230,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_677,c_0_1214]) ).
cnf(c_0_1231,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1215]),c_0_84]) ).
cnf(c_0_1232,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1199]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1170]) ).
cnf(c_0_1234,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1217]),c_0_93]) ).
cnf(c_0_1235,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1218,c_0_1202]) ).
cnf(c_0_1236,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1219]),c_0_93]) ).
cnf(c_0_1237,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1091]) ).
cnf(c_0_1238,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_1221]),c_0_82]) ).
cnf(c_0_1239,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1222,c_0_1055]) ).
cnf(c_0_1240,negated_conjecture,
( product(e_2,X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_881]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_1223]),c_0_71]) ).
cnf(c_0_1242,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1224,c_0_1225]) ).
cnf(c_0_1243,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_1227]),c_0_91]) ).
cnf(c_0_1244,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1228]) ).
cnf(c_0_1245,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1106,c_0_1125]),c_0_62]) ).
cnf(c_0_1246,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_832]),c_0_1181])]) ).
cnf(c_0_1247,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1214]) ).
cnf(c_0_1248,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1229,c_0_1230]),c_0_93]) ).
cnf(c_0_1249,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1231]) ).
cnf(c_0_1250,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1231]) ).
cnf(c_0_1251,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1233,c_0_1234]),c_0_241]) ).
cnf(c_0_1252,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_1235]),c_0_71]) ).
cnf(c_0_1253,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1236]) ).
cnf(c_0_1254,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1237,c_0_1238]) ).
cnf(c_0_1255,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1239]) ).
cnf(c_0_1256,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1240,c_0_1241]) ).
cnf(c_0_1257,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1088]) ).
cnf(c_0_1258,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1152]) ).
cnf(c_0_1259,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_1242]),c_0_91]) ).
cnf(c_0_1260,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1210,c_0_1243]) ).
cnf(c_0_1261,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1244,c_0_1245]),c_0_82]) ).
cnf(c_0_1262,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1246,c_0_581]) ).
cnf(c_0_1263,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_478]),c_0_241]) ).
cnf(c_0_1264,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_478]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_1248]),c_0_71]) ).
cnf(c_0_1266,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1249,c_0_1250]),c_0_93]) ).
cnf(c_0_1267,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_877]) ).
cnf(c_0_1268,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1251]),c_0_178]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_1252]) ).
cnf(c_0_1270,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1253,c_0_1254]),c_0_84]) ).
cnf(c_0_1271,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1255,c_0_1256]),c_0_241]) ).
cnf(c_0_1272,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1257,c_0_1109]),c_0_82]) ).
cnf(c_0_1273,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1258,c_0_1259]),c_0_82]) ).
cnf(c_0_1274,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1224,c_0_1260]) ).
cnf(c_0_1275,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1104]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1261]),c_0_71]) ).
cnf(c_0_1277,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1262]) ).
cnf(c_0_1278,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_1263]) ).
cnf(c_0_1279,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1214]) ).
cnf(c_0_1280,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1265]),c_0_71]) ).
cnf(c_0_1281,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1266]) ).
cnf(c_0_1282,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_1268]),c_0_62]),
[final] ).
cnf(c_0_1283,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_191]),c_0_100]) ).
cnf(c_0_1284,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1185]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1269]),c_0_178]) ).
cnf(c_0_1286,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_1185]),c_0_57]) ).
cnf(c_0_1287,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1238]) ).
cnf(c_0_1288,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1270]),c_0_178]) ).
cnf(c_0_1289,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_881]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1271]),c_0_84]) ).
cnf(c_0_1291,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1191,c_0_1272]),c_0_91]) ).
cnf(c_0_1292,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1273]) ).
cnf(c_0_1293,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_1274]),c_0_91]) ).
cnf(c_0_1294,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1275,c_0_1125]),c_0_241]) ).
cnf(c_0_1295,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1276]) ).
cnf(c_0_1296,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_670]) ).
cnf(c_0_1297,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1277,c_0_1262]) ).
cnf(c_0_1298,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1278]),c_0_93]) ).
cnf(c_0_1299,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1279,c_0_1280]) ).
cnf(c_0_1300,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1268]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1281,c_0_1282]) ).
cnf(c_0_1302,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1283]) ).
cnf(c_0_1303,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1285]),c_0_71]) ).
cnf(c_0_1304,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1286]) ).
cnf(c_0_1305,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_946]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1287,c_0_1288]),c_0_93]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_881]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1289,c_0_1290]),c_0_116]) ).
cnf(c_0_1309,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1291]) ).
cnf(c_0_1310,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_1293]),c_0_100]) ).
cnf(c_0_1311,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1294]) ).
cnf(c_0_1312,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1295,c_0_1294]) ).
cnf(c_0_1313,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1296,c_0_1297]),c_0_93]) ).
cnf(c_0_1314,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1298]) ).
cnf(c_0_1315,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_1299]),c_0_71]) ).
cnf(c_0_1316,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1231]) ).
cnf(c_0_1317,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_1301]),c_0_116]) ).
cnf(c_0_1318,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1302,c_0_191]) ).
cnf(c_0_1319,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1303]) ).
cnf(c_0_1320,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1304,c_0_1286]) ).
cnf(c_0_1321,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1235]),c_0_82]) ).
cnf(c_0_1322,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1305,c_0_1306]),c_0_62]) ).
cnf(c_0_1323,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_478]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_1,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1307,c_0_1308]),c_0_55]) ).
cnf(c_0_1325,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_1310]),c_0_93]) ).
cnf(c_0_1326,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1125]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1311,c_0_1312]),c_0_116]) ).
cnf(c_0_1328,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1313]),c_0_71]) ).
cnf(c_0_1329,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1314,c_0_1315]),c_0_82]) ).
cnf(c_0_1330,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1297]) ).
cnf(c_0_1331,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1316,c_0_1317]) ).
cnf(c_0_1332,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1318]) ).
cnf(c_0_1333,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1286]) ).
cnf(c_0_1334,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1319,c_0_1320]) ).
cnf(c_0_1335,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1303]),c_0_91]) ).
cnf(c_0_1336,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_1321]),c_0_91]) ).
cnf(c_0_1337,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1322]) ).
cnf(c_0_1338,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1323,c_0_1185]),c_0_116]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1324]) ).
cnf(c_0_1340,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1307,c_0_1325]),c_0_93]) ).
cnf(c_0_1341,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_594]) ).
cnf(c_0_1342,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1326,c_0_1327]) ).
cnf(c_0_1343,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1328]) ).
cnf(c_0_1344,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1329]),c_0_178]) ).
cnf(c_0_1345,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_834]),c_0_100]) ).
cnf(c_0_1346,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_1331]),c_0_91]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1332,c_0_1318]) ).
cnf(c_0_1348,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_191]) ).
cnf(c_0_1349,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1092,c_0_1000]) ).
cnf(c_0_1350,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1333,c_0_1334]),c_0_116]) ).
cnf(c_0_1351,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1335]),c_0_84]) ).
cnf(c_0_1352,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_1336]),c_0_91]) ).
cnf(c_0_1353,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1079]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1337,c_0_1322]) ).
cnf(c_0_1355,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1338]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1339,c_0_1340]),c_0_178]) ).
cnf(c_0_1357,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1341,c_0_54]) ).
cnf(c_0_1358,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1342]) ).
cnf(c_0_1359,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1343,c_0_1344]),c_0_91]) ).
cnf(c_0_1360,negated_conjecture,
( product(e_1,e_3,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_1345]),c_0_100]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1346]),c_0_82]) ).
cnf(c_0_1362,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1347]) ).
cnf(c_0_1363,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1348,c_0_1347]) ).
cnf(c_0_1364,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1349]),c_0_93]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1350]),c_0_84]) ).
cnf(c_0_1366,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1351]) ).
cnf(c_0_1367,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1352]),c_0_71]) ).
cnf(c_0_1368,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1354]),c_0_100]) ).
cnf(c_0_1369,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1298]) ).
cnf(c_0_1370,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1355,c_0_478]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1289,c_0_1356]),c_0_116]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1357]) ).
cnf(c_0_1373,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1358,c_0_1245]),c_0_241]) ).
cnf(c_0_1374,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1359]),c_0_71]) ).
cnf(c_0_1375,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1360]),c_0_241]) ).
cnf(c_0_1376,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_1156]),c_0_62]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1361]),c_0_178]) ).
cnf(c_0_1378,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_645]) ).
cnf(c_0_1379,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_1363]),c_0_116]) ).
cnf(c_0_1380,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1364]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1235]) ).
cnf(c_0_1382,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1365]) ).
cnf(c_0_1383,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1366,c_0_1367]),c_0_116]) ).
cnf(c_0_1384,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1351]) ).
cnf(c_0_1385,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1368]) ).
cnf(c_0_1386,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1369,c_0_1370]) ).
cnf(c_0_1387,negated_conjecture,
( product(e_4,X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1371]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_666]),c_0_100]) ).
cnf(c_0_1389,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1125]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1373]),c_0_71]) ).
cnf(c_0_1391,negated_conjecture,
( product(e_4,X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1360]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(e_1,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1323,c_0_1374]),c_0_116]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1375]) ).
cnf(c_0_1394,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1376]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1377]),c_0_91]) ).
cnf(c_0_1396,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1377]) ).
cnf(c_0_1397,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1378,c_0_121]) ).
cnf(c_0_1398,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1379]) ).
cnf(c_0_1399,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1380,c_0_1079]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1381,c_0_89]) ).
cnf(c_0_1401,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1382,c_0_1351]) ).
cnf(c_0_1402,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1383]) ).
cnf(c_0_1403,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1384,c_0_1383]) ).
cnf(c_0_1404,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1322]) ).
cnf(c_0_1405,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1385,c_0_1354]) ).
cnf(c_0_1406,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1386]),c_0_178]) ).
cnf(c_0_1407,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1080]) ).
cnf(c_0_1408,negated_conjecture,
( product(e_4,e_3,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_881]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_1388]) ).
cnf(c_0_1410,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1389,c_0_1390]),c_0_84]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_587]),
[final] ).
cnf(c_0_1412,negated_conjecture,
( product(e_4,e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1391,c_0_1392]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1393,c_0_1375]) ).
cnf(c_0_1414,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1394,c_0_779]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1282]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1395]) ).
cnf(c_0_1417,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1396,c_0_1395]) ).
cnf(c_0_1418,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1397]),c_0_178]) ).
cnf(c_0_1419,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1398,c_0_1399]),c_0_91]) ).
cnf(c_0_1420,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1235]) ).
cnf(c_0_1421,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_1400]) ).
cnf(c_0_1422,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1401]) ).
cnf(c_0_1423,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1402,c_0_1403]),c_0_91]) ).
cnf(c_0_1424,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1306]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1404,c_0_1405]),c_0_116]) ).
cnf(c_0_1426,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1406]),c_0_82]) ).
cnf(c_0_1427,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1406]) ).
cnf(c_0_1428,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_167]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1324]) ).
cnf(c_0_1430,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1407,c_0_1408]) ).
cnf(c_0_1431,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_1409]),c_0_178]) ).
cnf(c_0_1432,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1410]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_1410]),c_0_241]) ).
cnf(c_0_1434,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1411,c_0_841]),c_0_100]) ).
cnf(c_0_1435,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1412]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_1413]),c_0_71]) ).
cnf(c_0_1437,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1414]) ).
cnf(c_0_1438,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_1346]),c_0_241]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1346]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1416,c_0_1417]),c_0_93]) ).
cnf(c_0_1441,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1418]),c_0_71]) ).
cnf(c_0_1442,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_867]) ).
cnf(c_0_1443,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1419]),c_0_91]) ).
cnf(c_0_1444,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1420,c_0_1421]),c_0_55]) ).
cnf(c_0_1445,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1365]) ).
cnf(c_0_1446,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1422,c_0_1423]),c_0_93]) ).
cnf(c_0_1447,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1425]),c_0_91]) ).
cnf(c_0_1448,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1426]) ).
cnf(c_0_1449,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1427,c_0_1426]) ).
cnf(c_0_1450,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1406]),c_0_71]) ).
cnf(c_0_1451,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_1338]),c_0_55]) ).
cnf(c_0_1452,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1429,c_0_1430]),c_0_178]) ).
cnf(c_0_1453,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_1431]) ).
cnf(c_0_1454,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1433]),c_0_71]) ).
cnf(c_0_1455,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_598,c_0_1434]) ).
cnf(c_0_1456,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1435,c_0_1436]),c_0_91]) ).
cnf(c_0_1457,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1102]) ).
cnf(c_0_1458,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1437]),c_0_93]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1438]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1439,c_0_1440]),c_0_84]) ).
cnf(c_0_1461,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1441]),c_0_84]) ).
cnf(c_0_1462,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1418]) ).
cnf(c_0_1463,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_1443]),c_0_55]) ).
cnf(c_0_1464,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1444]) ).
cnf(c_0_1465,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1445,c_0_1446]),c_0_62]) ).
cnf(c_0_1466,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1447]) ).
cnf(c_0_1467,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_594]) ).
cnf(c_0_1468,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1448,c_0_1449]),c_0_93]) ).
cnf(c_0_1469,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1450]) ).
cnf(c_0_1470,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1427,c_0_1450]) ).
cnf(c_0_1471,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1451]) ).
cnf(c_0_1472,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1427,c_0_1451]) ).
cnf(c_0_1473,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_1371]),c_0_55]) ).
cnf(c_0_1474,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1452]) ).
cnf(c_0_1475,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_1453]),c_0_84]) ).
cnf(c_0_1476,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1311,c_0_1454]),c_0_91]) ).
cnf(c_0_1477,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1455]) ).
cnf(c_0_1478,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1360]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1456]),c_0_178]) ).
cnf(c_0_1480,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_1360]),c_0_55]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1457,c_0_1027]) ).
cnf(c_0_1482,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_1458]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1460]),c_0_100]) ).
cnf(c_0_1484,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1461]) ).
cnf(c_0_1485,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1461]) ).
cnf(c_0_1486,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1463]),c_0_91]) ).
cnf(c_0_1487,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_1465]),c_0_100]) ).
cnf(c_0_1488,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1382,c_0_1367]) ).
cnf(c_0_1489,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1447]) ).
cnf(c_0_1490,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1104]) ).
cnf(c_0_1491,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_986]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_986]),c_0_100]) ).
cnf(c_0_1493,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_104]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1467,c_0_986]),c_0_100]) ).
cnf(c_0_1495,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1468]) ).
cnf(c_0_1496,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1469,c_0_1470]),c_0_93]) ).
cnf(c_0_1497,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1471,c_0_1472]),c_0_93]) ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1473]) ).
cnf(c_0_1499,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1474,c_0_1473]) ).
cnf(c_0_1500,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1452]),c_0_71]) ).
cnf(c_0_1501,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1452]),c_0_82]) ).
cnf(c_0_1502,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1475]) ).
cnf(c_0_1503,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1476]) ).
cnf(c_0_1504,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1477,c_0_1410]),c_0_241]) ).
cnf(c_0_1505,negated_conjecture,
( product(e_3,e_2,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1478,c_0_1479]),c_0_71]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1480]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_1360]),c_0_57]) ).
cnf(c_0_1508,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1481]) ).
cnf(c_0_1509,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_685,c_0_54]) ).
cnf(c_0_1510,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1482]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1455]) ).
cnf(c_0_1512,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_1434]),c_0_82]) ).
cnf(c_0_1513,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_614]) ).
cnf(c_0_1514,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_1455]) ).
cnf(c_0_1515,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1483]),c_0_71]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1079]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1484,c_0_1485]),c_0_93]) ).
cnf(c_0_1518,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1486]),c_0_116]) ).
cnf(c_0_1519,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1487]),c_0_178]) ).
cnf(c_0_1520,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1445,c_0_1488]),c_0_93]) ).
cnf(c_0_1521,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1306]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1489,c_0_1490]),c_0_93]) ).
cnf(c_0_1523,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1491,c_0_1492]),c_0_91]) ).
cnf(c_0_1524,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_986]),c_0_100]) ).
cnf(c_0_1525,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_1494]),c_0_116]) ).
cnf(c_0_1526,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1495,c_0_1496]),c_0_241]) ).
cnf(c_0_1527,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1497]) ).
cnf(c_0_1528,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1498,c_0_1499]),c_0_93]) ).
cnf(c_0_1529,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1500]) ).
cnf(c_0_1530,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1474,c_0_1500]) ).
cnf(c_0_1531,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1501]) ).
cnf(c_0_1532,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1474,c_0_1501]) ).
cnf(c_0_1533,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1125]),c_0_100]) ).
cnf(c_0_1534,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1125]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1503,c_0_1504]),c_0_100]) ).
cnf(c_0_1536,negated_conjecture,
( product(e_4,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1505]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1506,c_0_1507]),c_0_62]) ).
cnf(c_0_1538,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_708]),c_0_91]) ).
cnf(c_0_1539,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_923]),c_0_71]) ).
cnf(c_0_1540,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_834]) ).
cnf(c_0_1541,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1481]) ).
cnf(c_0_1542,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_1509]),c_0_241]) ).
cnf(c_0_1543,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_822]) ).
cnf(c_0_1544,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1458]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1510,c_0_1458]) ).
cnf(c_0_1546,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_841]) ).
cnf(c_0_1547,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1511,c_0_1512]),c_0_100]) ).
cnf(c_0_1548,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1513,c_0_1455]),c_0_178]) ).
cnf(c_0_1549,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_1514]),c_0_93]) ).
cnf(c_0_1550,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1515]),c_0_100]) ).
cnf(c_0_1551,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1516,c_0_1515]),c_0_62]) ).
cnf(c_0_1552,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1461]) ).
cnf(c_0_1553,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1517]),c_0_100]) ).
cnf(c_0_1554,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1518]),c_0_91]) ).
cnf(c_0_1555,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1519]),c_0_71]) ).
cnf(c_0_1556,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1520]) ).
cnf(c_0_1557,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1364]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1522]) ).
cnf(c_0_1559,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_1523]),c_0_178]) ).
cnf(c_0_1560,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_1524]) ).
cnf(c_0_1561,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_1525]) ).
cnf(c_0_1562,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1526]) ).
cnf(c_0_1563,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1527,c_0_1496]),c_0_57]) ).
cnf(c_0_1564,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1528]) ).
cnf(c_0_1565,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1529,c_0_1530]),c_0_93]) ).
cnf(c_0_1566,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1531,c_0_1532]),c_0_93]) ).
cnf(c_0_1567,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1533]) ).
cnf(c_0_1568,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1534,c_0_1535]),c_0_91]) ).
cnf(c_0_1569,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1507]) ).
cnf(c_0_1570,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1536,c_0_1537]) ).
cnf(c_0_1571,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_721,c_0_1538]) ).
cnf(c_0_1572,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_1539]),c_0_91]) ).
cnf(c_0_1573,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1540,c_0_1541]),c_0_116]) ).
cnf(c_0_1574,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_1542]) ).
cnf(c_0_1575,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_822]) ).
cnf(c_0_1576,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_1543]),c_0_100]) ).
cnf(c_0_1577,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_1545]),c_0_84]) ).
cnf(c_0_1578,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1546,c_0_1547]),c_0_93]) ).
cnf(c_0_1579,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1548]) ).
cnf(c_0_1580,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1511,c_0_1549]),c_0_82]) ).
cnf(c_0_1581,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1515]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1550]) ).
cnf(c_0_1583,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1551]),c_0_82]) ).
cnf(c_0_1584,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1552,c_0_1553]),c_0_178]) ).
cnf(c_0_1585,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_1517]),c_0_62]) ).
cnf(c_0_1586,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1554]) ).
cnf(c_0_1587,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1235]) ).
cnf(c_0_1588,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1555]) ).
cnf(c_0_1589,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1556,c_0_1555]),c_0_100]) ).
cnf(c_0_1590,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1522]) ).
cnf(c_0_1591,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1557,c_0_1558]),c_0_93]) ).
cnf(c_0_1592,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1379]) ).
cnf(c_0_1593,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1559]) ).
cnf(c_0_1594,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_1560]),c_0_116]) ).
cnf(c_0_1595,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_1561]),c_0_178]) ).
cnf(c_0_1596,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1562,c_0_1563]),c_0_100]) ).
cnf(c_0_1597,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_1370]),c_0_91]) ).
cnf(c_0_1598,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1564,c_0_1565]),c_0_57]) ).
cnf(c_0_1599,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1566]) ).
cnf(c_0_1600,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1567,c_0_1568]),c_0_82]) ).
cnf(c_0_1601,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_1570]),c_0_116]) ).
cnf(c_0_1602,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1507]) ).
cnf(c_0_1603,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_1571]),c_0_84]) ).
cnf(c_0_1604,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1572]),c_0_178]) ).
cnf(c_0_1605,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_1573]),c_0_100]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_1574]),c_0_100]) ).
cnf(c_0_1607,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1575,c_0_1576]),c_0_84]) ).
cnf(c_0_1608,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1577]) ).
cnf(c_0_1609,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1578]) ).
cnf(c_0_1610,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1579,c_0_1580]),c_0_71]) ).
cnf(c_0_1611,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1006]) ).
cnf(c_0_1612,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1581,c_0_1104]) ).
cnf(c_0_1613,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1582,c_0_1550]) ).
cnf(c_0_1614,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1583]) ).
cnf(c_0_1615,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1584]) ).
cnf(c_0_1616,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1552,c_0_1585]),c_0_71]) ).
cnf(c_0_1617,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1554]) ).
cnf(c_0_1618,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1587,c_0_1365]),c_0_100]) ).
cnf(c_0_1619,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_1589]),c_0_91]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1590,c_0_1591]),c_0_91]) ).
cnf(c_0_1621,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_875]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1592,c_0_986]),c_0_71]) ).
cnf(c_0_1623,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1593,c_0_1594]),c_0_93]) ).
cnf(c_0_1624,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_1595]) ).
cnf(c_0_1625,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1596]),c_0_71]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1597]),c_0_178]) ).
cnf(c_0_1627,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1598]) ).
cnf(c_0_1628,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1599,c_0_1565]),c_0_241]) ).
cnf(c_0_1629,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1568]) ).
cnf(c_0_1630,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1600]),c_0_178]) ).
cnf(c_0_1631,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1601]) ).
cnf(c_0_1632,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1602,c_0_1507]) ).
cnf(c_0_1633,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1603]),c_0_178]) ).
cnf(c_0_1634,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_1604]),c_0_91]) ).
cnf(c_0_1635,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1605]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_1605]),c_0_241]) ).
cnf(c_0_1637,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_791]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1575,c_0_1606]),c_0_84]) ).
cnf(c_0_1639,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_822]) ).
cnf(c_0_1640,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_1607]),c_0_62]) ).
cnf(c_0_1641,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1458]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1608,c_0_1458]) ).
cnf(c_0_1643,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1609,c_0_1610]),c_0_91]) ).
cnf(c_0_1644,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1611,c_0_1612]),c_0_178]) ).
cnf(c_0_1645,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1611,c_0_1613]),c_0_71]) ).
cnf(c_0_1646,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1614,c_0_1006]) ).
cnf(c_0_1647,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1461]) ).
cnf(c_0_1648,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1616]),c_0_82]) ).
cnf(c_0_1649,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1100,c_0_1617]),c_0_71]) ).
cnf(c_0_1650,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_94,c_0_1618]) ).
cnf(c_0_1651,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1619]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1620]) ).
cnf(c_0_1653,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_1522]),c_0_62]) ).
cnf(c_0_1654,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1040,c_0_1622]),c_0_100]) ).
cnf(c_0_1655,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1623]) ).
cnf(c_0_1656,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_1624]),c_0_84]) ).
cnf(c_0_1657,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1451]) ).
cnf(c_0_1658,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_1625]),c_0_62]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1626]) ).
cnf(c_0_1660,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_1408]),c_0_91]) ).
cnf(c_0_1661,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1627,c_0_1628]),c_0_116]) ).
cnf(c_0_1662,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1629,c_0_1630]),c_0_116]) ).
cnf(c_0_1663,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1413]) ).
cnf(c_0_1664,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1631,c_0_1632]),c_0_84]) ).
cnf(c_0_1665,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_793]) ).
cnf(c_0_1666,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_1633]),c_0_91]) ).
cnf(c_0_1667,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1634]) ).
cnf(c_0_1668,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1635,c_0_1636]),c_0_71]) ).
cnf(c_0_1669,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1637,c_0_412]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_1638]),c_0_62]) ).
cnf(c_0_1671,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1639,c_0_1640]),c_0_116]) ).
cnf(c_0_1672,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1641,c_0_1642]),c_0_116]) ).
cnf(c_0_1673,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1643]),c_0_178]) ).
cnf(c_0_1674,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1515]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1644]),c_0_178]) ).
cnf(c_0_1676,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1645]) ).
cnf(c_0_1677,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1611,c_0_1646]),c_0_84]) ).
cnf(c_0_1678,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1647,c_0_1648]) ).
cnf(c_0_1679,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1418]),c_0_82]) ).
cnf(c_0_1680,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1649]),c_0_71]) ).
cnf(c_0_1681,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1650]) ).
cnf(c_0_1682,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1520]) ).
cnf(c_0_1683,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_1653]),c_0_82]) ).
cnf(c_0_1684,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1654]) ).
cnf(c_0_1685,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1655,c_0_1656]),c_0_57]) ).
cnf(c_0_1686,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1657,c_0_1658]),c_0_91]) ).
cnf(c_0_1687,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1338]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1659,c_0_1625]),c_0_62]) ).
cnf(c_0_1689,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1429,c_0_1660]),c_0_178]) ).
cnf(c_0_1690,negated_conjecture,
( product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1429,c_0_1661]),c_0_71]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1662]),c_0_71]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1663,c_0_1664]),c_0_100]) ).
cnf(c_0_1693,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1665,c_0_1666]),c_0_100]) ).
cnf(c_0_1694,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1667,c_0_1668]) ).
cnf(c_0_1695,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1669]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_685,c_0_1670]) ).
cnf(c_0_1697,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1671]),c_0_178]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1672]),c_0_178]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_1036]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1673]),c_0_84]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_587]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1674,c_0_1675]),c_0_91]) ).
cnf(c_0_1703,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1676,c_0_1677]),c_0_62]) ).
cnf(c_0_1704,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1552,c_0_1678]),c_0_178]) ).
cnf(c_0_1705,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1679]) ).
cnf(c_0_1706,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1679]) ).
cnf(c_0_1707,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1680]),c_0_116]) ).
cnf(c_0_1708,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1681,c_0_1682]),c_0_178]) ).
cnf(c_0_1709,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_1683]),c_0_100]) ).
cnf(c_0_1710,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_790]) ).
cnf(c_0_1711,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1656]) ).
cnf(c_0_1712,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1684,c_0_1685]),c_0_116]) ).
cnf(c_0_1713,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1370]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1686]),c_0_71]) ).
cnf(c_0_1715,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_1370]),c_0_91]) ).
cnf(c_0_1716,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1687,c_0_1688]),c_0_71]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1370]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1689]) ).
cnf(c_0_1719,negated_conjecture,
( product(e_4,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1690]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1371]),c_0_57]) ).
cnf(c_0_1721,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1326,c_0_1691]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1435,c_0_1692]),c_0_91]) ).
cnf(c_0_1723,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_280]) ).
cnf(c_0_1724,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1693]) ).
cnf(c_0_1725,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1635,c_0_1694]),c_0_178]) ).
cnf(c_0_1726,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1399]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1695,c_0_412]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1696]),c_0_178]) ).
cnf(c_0_1729,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1697]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_1698]),c_0_62]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1699]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1697]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1199]),c_0_82]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1700]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_1702]),c_0_62]) ).
cnf(c_0_1736,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1703]),c_0_178]) ).
cnf(c_0_1737,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1647,c_0_1704]) ).
cnf(c_0_1738,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1705,c_0_1706]),c_0_93]) ).
cnf(c_0_1739,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1707]),c_0_91]) ).
cnf(c_0_1740,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1708]),c_0_178]) ).
cnf(c_0_1741,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_1709]),c_0_241]) ).
cnf(c_0_1742,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1710,c_0_1006]),c_0_93]) ).
cnf(c_0_1743,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1711,c_0_1712]) ).
cnf(c_0_1744,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1713,c_0_1714]),c_0_82]) ).
cnf(c_0_1745,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1625]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1338]),c_0_57]) ).
cnf(c_0_1747,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_1715]),c_0_91]) ).
cnf(c_0_1748,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1716]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1717,c_0_606]) ).
cnf(c_0_1750,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1371]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1718,c_0_1690]),c_0_62]) ).
cnf(c_0_1752,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1719,c_0_1720]) ).
cnf(c_0_1753,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_1408]),c_0_91]) ).
cnf(c_0_1754,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1691]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_1721]),c_0_82]) ).
cnf(c_0_1756,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1392]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1505]),c_0_91]) ).
cnf(c_0_1758,negated_conjecture,
( product(e_2,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1478,c_0_1722]),c_0_71]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1723,c_0_262]) ).
cnf(c_0_1760,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1668]) ).
cnf(c_0_1761,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1724,c_0_1725]),c_0_91]) ).
cnf(c_0_1762,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1726,c_0_1079]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1727]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1728]) ).
cnf(c_0_1765,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1698]),c_0_82]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1698]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1729,c_0_1730]),c_0_82]) ).
cnf(c_0_1768,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1036]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1036]) ).
cnf(c_0_1770,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1732,c_0_1698]) ).
cnf(c_0_1771,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1733]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1734,c_0_1735]),c_0_116]) ).
cnf(c_0_1773,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1674,c_0_1736]),c_0_91]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1552,c_0_1737]),c_0_71]) ).
cnf(c_0_1775,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1738]) ).
cnf(c_0_1776,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_1739]),c_0_100]) ).
cnf(c_0_1777,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1740]),c_0_71]),
[final] ).
cnf(c_0_1778,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_145]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1741]),c_0_91]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1742]),c_0_178]) ).
cnf(c_0_1781,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1710,c_0_1743]),c_0_93]) ).
cnf(c_0_1782,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1744]) ).
cnf(c_0_1783,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1745,c_0_1746]) ).
cnf(c_0_1784,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1747]) ).
cnf(c_0_1785,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1748,c_0_1749]),c_0_82]) ).
cnf(c_0_1786,negated_conjecture,
( product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1751]),c_0_71]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1752]) ).
cnf(c_0_1788,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1498,c_0_1720]),c_0_62]) ).
cnf(c_0_1789,negated_conjecture,
( product(e_1,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1408]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_1753]),c_0_91]) ).
cnf(c_0_1791,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_726]) ).
cnf(c_0_1792,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_89]) ).
cnf(c_0_1793,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1754,c_0_1755]),c_0_116]) ).
cnf(c_0_1794,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1756,c_0_1757]),c_0_84]) ).
cnf(c_0_1795,negated_conjecture,
( product(e_1,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1758]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_1759]),c_0_91]) ).
cnf(c_0_1797,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1760,c_0_1761]) ).
cnf(c_0_1798,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1762]),c_0_82]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1762]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1763,c_0_1728]),c_0_93]) ).
cnf(c_0_1801,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1764,c_0_1762]) ).
cnf(c_0_1802,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1765]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1766,c_0_1767]) ).
cnf(c_0_1804,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1036]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_1769]),c_0_84]) ).
cnf(c_0_1806,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1766,c_0_1770]) ).
cnf(c_0_1807,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1771,c_0_1482]),c_0_62]) ).
cnf(c_0_1808,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_894]) ).
cnf(c_0_1809,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_946]),c_0_241]) ).
cnf(c_0_1810,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1772]) ).
cnf(c_0_1811,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1773]),c_0_241]) ).
cnf(c_0_1812,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1774]) ).
cnf(c_0_1813,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1774]),c_0_241]) ).
cnf(c_0_1814,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1776]) ).
cnf(c_0_1815,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1777]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1252]) ).
cnf(c_0_1817,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_779]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1778,c_0_1306]),c_0_62]) ).
cnf(c_0_1819,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1779]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1780]) ).
cnf(c_0_1821,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1781]),c_0_178]) ).
cnf(c_0_1822,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1716]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1782,c_0_1783]),c_0_93]) ).
cnf(c_0_1824,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1784,c_0_1625]) ).
cnf(c_0_1825,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1748,c_0_1785]),c_0_100]) ).
cnf(c_0_1826,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1473]) ).
cnf(c_0_1827,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_1690]),c_0_62]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( product(e_4,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1786]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1787,c_0_1788]),c_0_82]) ).
cnf(c_0_1830,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1786]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1789,c_0_606]) ).
cnf(c_0_1832,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1790]) ).
cnf(c_0_1833,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1791,c_0_1410]),c_0_241]) ).
cnf(c_0_1834,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1792,c_0_1125]),c_0_100]) ).
cnf(c_0_1835,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1793]) ).
cnf(c_0_1836,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1794]) ).
cnf(c_0_1837,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1795,c_0_1796]) ).
cnf(c_0_1838,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_834]) ).
cnf(c_0_1839,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1724,c_0_1797]),c_0_91]) ).
cnf(c_0_1840,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1798]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1799,c_0_1800]) ).
cnf(c_0_1842,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1799,c_0_1801]) ).
cnf(c_0_1843,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_1803]),c_0_116]) ).
cnf(c_0_1844,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1036]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1804,c_0_1805]) ).
cnf(c_0_1846,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1806]),c_0_178]) ).
cnf(c_0_1847,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1458]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_1807]),c_0_71]) ).
cnf(c_0_1849,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_894]) ).
cnf(c_0_1850,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1808,c_0_1809]),c_0_116]) ).
cnf(c_0_1851,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1773]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1810,c_0_1773]),c_0_93]) ).
cnf(c_0_1853,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1773]),c_0_57]) ).
cnf(c_0_1854,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1811]) ).
cnf(c_0_1855,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1812,c_0_1813]) ).
cnf(c_0_1856,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1814,c_0_1739]) ).
cnf(c_0_1857,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1204]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_1185]),c_0_55]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1446]) ).
cnf(c_0_1860,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1815,c_0_1367]) ).
cnf(c_0_1861,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1816,c_0_1777]),c_0_100]) ).
cnf(c_0_1862,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1817,c_0_1818]),c_0_82]) ).
cnf(c_0_1863,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_1819]),c_0_91]) ).
cnf(c_0_1864,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1820,c_0_1821]),c_0_62]) ).
cnf(c_0_1865,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1746]) ).
cnf(c_0_1866,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1822,c_0_1823]) ).
cnf(c_0_1867,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1824]),c_0_71]) ).
cnf(c_0_1868,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1746]) ).
cnf(c_0_1869,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1825]),c_0_71]) ).
cnf(c_0_1870,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1826,c_0_1827]),c_0_91]) ).
cnf(c_0_1871,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1720]) ).
cnf(c_0_1872,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1828,c_0_1829]) ).
cnf(c_0_1873,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1830,c_0_1831]),c_0_82]) ).
cnf(c_0_1874,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1832,c_0_1690]) ).
cnf(c_0_1875,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1754,c_0_1833]),c_0_91]) ).
cnf(c_0_1876,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1834]) ).
cnf(c_0_1877,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1835,c_0_1793]) ).
cnf(c_0_1878,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1758]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1836,c_0_1837]),c_0_116]) ).
cnf(c_0_1880,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1838,c_0_1839]),c_0_100]) ).
cnf(c_0_1881,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_793]),c_0_62]) ).
cnf(c_0_1882,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_1841]),c_0_116]) ).
cnf(c_0_1883,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_1841]) ).
cnf(c_0_1884,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1842]),c_0_178]) ).
cnf(c_0_1885,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1842]) ).
cnf(c_0_1886,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_1801]),c_0_82]) ).
cnf(c_0_1887,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1843]) ).
cnf(c_0_1888,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1803]),c_0_178]) ).
cnf(c_0_1889,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1844,c_0_1845]),c_0_116]) ).
cnf(c_0_1890,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1846]) ).
cnf(c_0_1891,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_1806]),c_0_116]) ).
cnf(c_0_1892,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1847,c_0_1848]) ).
cnf(c_0_1893,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1849,c_0_1850]) ).
cnf(c_0_1894,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1851,c_0_1852]),c_0_100]) ).
cnf(c_0_1895,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1853]) ).
cnf(c_0_1896,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1854,c_0_1853]),c_0_100]) ).
cnf(c_0_1897,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1774]) ).
cnf(c_0_1898,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_896,c_0_1855]) ).
cnf(c_0_1899,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1856]) ).
cnf(c_0_1900,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_1856]),c_0_84]) ).
cnf(c_0_1901,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1777]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1858]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1778,c_0_1619]),c_0_62]) ).
cnf(c_0_1904,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1777]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1859,c_0_1860]),c_0_116]) ).
cnf(c_0_1906,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1861]),c_0_178]) ).
cnf(c_0_1907,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1862]) ).
cnf(c_0_1908,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1819]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1863]) ).
cnf(c_0_1910,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1098]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1864]),c_0_71]) ).
cnf(c_0_1912,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_1866]),c_0_116]) ).
cnf(c_0_1913,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1867]) ).
cnf(c_0_1914,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1868,c_0_1869]),c_0_57]) ).
cnf(c_0_1915,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1408]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1870]),c_0_71]) ).
cnf(c_0_1917,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1871,c_0_1872]),c_0_116]) ).
cnf(c_0_1918,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1830,c_0_1873]),c_0_100]) ).
cnf(c_0_1919,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1874]),c_0_71]) ).
cnf(c_0_1920,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1875]) ).
cnf(c_0_1921,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1834]) ).
cnf(c_0_1922,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1876,c_0_1877]),c_0_71]) ).
cnf(c_0_1923,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1412]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1878,c_0_1879]),c_0_93]) ).
cnf(c_0_1925,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_1880]),c_0_100]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_598,c_0_1881]) ).
cnf(c_0_1927,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1882]) ).
cnf(c_0_1928,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1841]),c_0_178]) ).
cnf(c_0_1929,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1727]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_1883]),c_0_93]) ).
cnf(c_0_1931,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1104]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_1104]),c_0_100]) ).
cnf(c_0_1933,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1884]) ).
cnf(c_0_1934,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_1842]),c_0_116]) ).
cnf(c_0_1935,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1842]) ).
cnf(c_0_1936,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1885,c_0_1886]),c_0_55]) ).
cnf(c_0_1937,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1887,c_0_1888]),c_0_57]) ).
cnf(c_0_1938,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_77]),c_0_82]) ).
cnf(c_0_1939,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1889]),c_0_178]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1890,c_0_1891]),c_0_84]) ).
cnf(c_0_1941,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1771,c_0_1699]),c_0_62]) ).
cnf(c_0_1942,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_1892]),c_0_84]) ).
cnf(c_0_1943,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1808,c_0_1893]),c_0_116]) ).
cnf(c_0_1944,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_268]),c_0_62]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1894]),c_0_71]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1853]) ).
cnf(c_0_1947,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1895,c_0_1896]) ).
cnf(c_0_1948,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_1898]),c_0_178]) ).
cnf(c_0_1949,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1899,c_0_1900]),c_0_57]) ).
cnf(c_0_1950,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1901]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1902,c_0_1903]),c_0_55]) ).
cnf(c_0_1952,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1904,c_0_1905]),c_0_93]) ).
cnf(c_0_1953,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1906]),c_0_71]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1907,c_0_1819]),c_0_71]) ).
cnf(c_0_1955,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_1909]),c_0_55]) ).
cnf(c_0_1956,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1910,c_0_1911]),c_0_62]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1744]) ).
cnf(c_0_1958,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1782,c_0_1912]),c_0_62]) ).
cnf(c_0_1959,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1869]) ).
cnf(c_0_1960,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1913,c_0_1914]),c_0_100]) ).
cnf(c_0_1961,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1915,c_0_1916]),c_0_82]) ).
cnf(c_0_1962,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1917]) ).
cnf(c_0_1963,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1429,c_0_1918]),c_0_71]) ).
cnf(c_0_1964,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1919]) ).
cnf(c_0_1965,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1920,c_0_1721]) ).
cnf(c_0_1966,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1921,c_0_1922]) ).
cnf(c_0_1967,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1360]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1923,c_0_1924]),c_0_100]) ).
cnf(c_0_1969,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_721,c_0_1925]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1925]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1635,c_0_1926]),c_0_178]) ).
cnf(c_0_1972,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1927,c_0_1928]),c_0_57]) ).
cnf(c_0_1973,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1928]) ).
cnf(c_0_1974,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_1930]),c_0_93]) ).
cnf(c_0_1975,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_1932]),c_0_91]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_1934]),c_0_84]) ).
cnf(c_0_1977,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1935,c_0_1936]),c_0_82]) ).
cnf(c_0_1978,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1937]) ).
cnf(c_0_1979,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_1938]) ).
cnf(c_0_1980,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_1939]),c_0_62]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1940]) ).
cnf(c_0_1982,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_1941]),c_0_71]) ).
cnf(c_0_1983,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1942]) ).
cnf(c_0_1984,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_1943]),c_0_91]) ).
cnf(c_0_1985,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1944]),
[final] ).
cnf(c_0_1986,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1945]),
[final] ).
cnf(c_0_1987,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1946,c_0_1947]),c_0_116]) ).
cnf(c_0_1988,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_1515]),c_0_62]),
[final] ).
cnf(c_0_1989,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1855]) ).
cnf(c_0_1990,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1812,c_0_1948]) ).
cnf(c_0_1991,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1739]) ).
cnf(c_0_1992,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1949]),c_0_178]) ).
cnf(c_0_1993,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1777]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1950,c_0_1951]),c_0_82]) ).
cnf(c_0_1995,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1904,c_0_1952]),c_0_62]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1953]),c_0_100]) ).
cnf(c_0_1997,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1954]),c_0_178]) ).
cnf(c_0_1998,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1955]),c_0_178]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1523]) ).
cnf(c_0_2000,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_998,c_0_1956]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1957,c_0_1744]) ).
cnf(c_0_2002,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1958]) ).
cnf(c_0_2003,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1959,c_0_1960]) ).
cnf(c_0_2004,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1961]) ).
cnf(c_0_2005,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1962,c_0_1961]),c_0_91]) ).
cnf(c_0_2006,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1963]) ).
cnf(c_0_2007,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1964,c_0_1917]),c_0_100]) ).
cnf(c_0_2008,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1721]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1965]),c_0_71]) ).
cnf(c_0_2010,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1966]),c_0_178]) ).
cnf(c_0_2011,negated_conjecture,
( product(e_3,X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1392]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( product(e_1,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1967,c_0_1968]),c_0_93]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1969]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1970,c_0_1971]),c_0_91]) ).
cnf(c_0_2015,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1972]) ).
cnf(c_0_2016,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1973,c_0_1974]),c_0_71]) ).
cnf(c_0_2017,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1799,c_0_1975]) ).
cnf(c_0_2018,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1976]) ).
cnf(c_0_2019,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_1977]),c_0_71]) ).
cnf(c_0_2020,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_77]),c_0_93]) ).
cnf(c_0_2021,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_1156]),c_0_100]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1978,c_0_1888]) ).
cnf(c_0_2023,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1766,c_0_1975]) ).
cnf(c_0_2024,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1669]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_1979]),c_0_116]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1939]),
[final] ).
cnf(c_0_2027,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1729,c_0_1980]),c_0_82]) ).
cnf(c_0_2028,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1981,c_0_1846]) ).
cnf(c_0_2029,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1732,c_0_1939]) ).
cnf(c_0_2030,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1282]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1804,c_0_1982]) ).
cnf(c_0_2032,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1983,c_0_1458]) ).
cnf(c_0_2033,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1984]) ).
cnf(c_0_2034,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1985,c_0_1809]),c_0_93]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_1987]),c_0_91]) ).
cnf(c_0_2036,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1988]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1989,c_0_1990]),c_0_82]) ).
cnf(c_0_2038,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1156]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1991,c_0_1992]),c_0_93]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1993,c_0_1994]),c_0_91]) ).
cnf(c_0_2041,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1995]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1902,c_0_1996]),c_0_93]) ).
cnf(c_0_2043,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1997]) ).
cnf(c_0_2044,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1764,c_0_1998]) ).
cnf(c_0_2045,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1956]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1594]) ).
cnf(c_0_2047,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1999,c_0_2000]),c_0_241]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2001]) ).
cnf(c_0_2049,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_2002,c_0_2003]) ).
cnf(c_0_2050,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_2,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2004,c_0_1961]) ).
cnf(c_0_2051,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2005]) ).
cnf(c_0_2052,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,e_4,e_2)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2006,c_0_2007]) ).
cnf(c_0_2053,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_795]) ).
cnf(c_0_2054,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2008,c_0_2009]),c_0_100]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_2010]),c_0_71]) ).
cnf(c_0_2056,negated_conjecture,
( product(e_3,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2011,c_0_2012]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2013,c_0_2014]),c_0_82]) ).
cnf(c_0_2058,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2015,c_0_2016]),c_0_91]) ).
cnf(c_0_2059,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_2017]),c_0_116]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2018,c_0_2019]),c_0_91]) ).
cnf(c_0_2061,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_2020]) ).
cnf(c_0_2062,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2021]),
[final] ).
cnf(c_0_2063,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2022]),c_0_178]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_2023]),c_0_116]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2025]),c_0_93]) ).
cnf(c_0_2066,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2026,c_0_2027]) ).
cnf(c_0_2067,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1939]),c_0_82]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2028]),c_0_178]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2026,c_0_2029]) ).
cnf(c_0_2070,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2030,c_0_1199]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_2031]),c_0_84]) ).
cnf(c_0_2072,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1641,c_0_2032]),c_0_116]) ).
cnf(c_0_2073,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2033,c_0_2034]),c_0_116]) ).
cnf(c_0_2074,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2035]) ).
cnf(c_0_2075,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2036,c_0_1811]),c_0_93]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2037]),c_0_71]) ).
cnf(c_0_2077,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1774]) ).
cnf(c_0_2078,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2038,c_0_2039]),c_0_100]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2040]) ).
cnf(c_0_2080,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2041,c_0_2042]),c_0_71]) ).
cnf(c_0_2081,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1997]) ).
cnf(c_0_2082,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2043,c_0_2044]),c_0_178]) ).
cnf(c_0_2083,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2045,c_0_1098]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1656]) ).
cnf(c_0_2085,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2046,c_0_2047]),c_0_82]) ).
cnf(c_0_2086,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1869]) ).
cnf(c_0_2087,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2048,c_0_2049]),c_0_62]) ).
cnf(c_0_2088,negated_conjecture,
( product(e_2,e_2,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2050]) ).
cnf(c_0_2089,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2051,c_0_2052]) ).
cnf(c_0_2090,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2053,c_0_2054]),c_0_82]) ).
cnf(c_0_2091,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1534,c_0_2055]),c_0_91]) ).
cnf(c_0_2092,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1279,c_0_2056]) ).
cnf(c_0_2093,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1725]) ).
cnf(c_0_2094,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2057]),c_0_71]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2058]),c_0_178]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2059]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2060]),c_0_178]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2061]),c_0_91]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1730]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2062,c_0_2063]),c_0_82]) ).
cnf(c_0_2101,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2062,c_0_2064]),c_0_82]) ).
cnf(c_0_2102,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_2021]),c_0_93]) ).
cnf(c_0_2103,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_2065]) ).
cnf(c_0_2104,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2066]),c_0_178]) ).
cnf(c_0_2105,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2067]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2062,c_0_2068]),c_0_82]) ).
cnf(c_0_2107,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2069]),c_0_178]) ).
cnf(c_0_2108,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2021]) ).
cnf(c_0_2109,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2070]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1804,c_0_2071]) ).
cnf(c_0_2111,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2072]),c_0_178]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1984]) ).
cnf(c_0_2113,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_2073]),c_0_91]) ).
cnf(c_0_2114,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1438]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2074,c_0_2075]),c_0_116]) ).
cnf(c_0_2116,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_2076]),c_0_62]) ).
cnf(c_0_2117,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2077,c_0_1458]),c_0_93]) ).
cnf(c_0_2118,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2078]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2025]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2079,c_0_2080]) ).
cnf(c_0_2121,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1998]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2081,c_0_2082]) ).
cnf(c_0_2123,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2083]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2084,c_0_2085]),c_0_84]) ).
cnf(c_0_2125,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1338]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2086,c_0_2087]),c_0_84]) ).
cnf(c_0_2127,negated_conjecture,
( product(e_1,e_4,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1963]) ).
cnf(c_0_2128,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2088,c_0_2089]),c_0_62]) ).
cnf(c_0_2129,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2090]),c_0_178]) ).
cnf(c_0_2130,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2008,c_0_2091]),c_0_241]) ).
cnf(c_0_2131,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_2092]),c_0_178]) ).
cnf(c_0_2132,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1925]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2093,c_0_2094]),c_0_62]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2062,c_0_2095]),c_0_82]) ).
cnf(c_0_2135,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2096,c_0_2021]),c_0_93]) ).
cnf(c_0_2136,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_1104]),c_0_100]) ).
cnf(c_0_2137,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2062,c_0_2097]),c_0_82]) ).
cnf(c_0_2138,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2098]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2099,c_0_2100]),c_0_93]) ).
cnf(c_0_2140,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2101]),c_0_71]) ).
cnf(c_0_2141,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2102]),c_0_71]) ).
cnf(c_0_2142,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_2103]),c_0_93]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2104]) ).
cnf(c_0_2144,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2105,c_0_2066]),c_0_116]) ).
cnf(c_0_2145,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2106]),c_0_71]) ).
cnf(c_0_2146,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2107]) ).
cnf(c_0_2147,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2105,c_0_2069]),c_0_116]) ).
cnf(c_0_2148,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2108]),c_0_71]) ).
cnf(c_0_2149,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2109,c_0_1199]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1844,c_0_2110]),c_0_116]) ).
cnf(c_0_2151,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2111]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_946]),
[final] ).
cnf(c_0_2153,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2112,c_0_2113]) ).
cnf(c_0_2154,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_557]),c_0_621])]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2114,c_0_1199]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_1268]),c_0_100]) ).
cnf(c_0_2157,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_2115]),c_0_91]) ).
cnf(c_0_2158,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_103]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_2116]),c_0_178]) ).
cnf(c_0_2160,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2117]),c_0_178]) ).
cnf(c_0_2161,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2118]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2119,c_0_52]) ).
cnf(c_0_2163,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1950,c_0_2120]),c_0_82]) ).
cnf(c_0_2164,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2121,c_0_2122]),c_0_82]) ).
cnf(c_0_2165,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2123,c_0_2124]),c_0_62]) ).
cnf(c_0_2166,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2125,c_0_2126]),c_0_116]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1786]),c_0_241]) ).
cnf(c_0_2168,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1371]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2127,c_0_2128]),c_0_84]) ).
cnf(c_0_2170,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2129]) ).
cnf(c_0_2171,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2130]),c_0_71]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1413]) ).
cnf(c_0_2173,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1536,c_0_2131]) ).
cnf(c_0_2174,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2132,c_0_2094]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_2133]),c_0_57]) ).
cnf(c_0_2176,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_268]),
[final] ).
cnf(c_0_2177,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2134]),c_0_93]) ).
cnf(c_0_2178,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2135]),c_0_71]) ).
cnf(c_0_2179,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_2136]) ).
cnf(c_0_2180,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2137]),c_0_71]) ).
cnf(c_0_2181,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2138,c_0_104]) ).
cnf(c_0_2182,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2139]),c_0_91]) ).
cnf(c_0_2183,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2140]),c_0_91]) ).
cnf(c_0_2184,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2141]),c_0_91]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2142]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2104]) ).
cnf(c_0_2187,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2143,c_0_2144]),c_0_84]) ).
cnf(c_0_2188,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2145]),c_0_91]) ).
cnf(c_0_2189,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2107]) ).
cnf(c_0_2190,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2146,c_0_2147]),c_0_84]) ).
cnf(c_0_2191,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2148]),c_0_91]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2149]),
[final] ).
cnf(c_0_2193,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2150]),c_0_178]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2151,c_0_1282]) ).
cnf(c_0_2195,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_725]) ).
cnf(c_0_2196,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2152,c_0_2153]) ).
cnf(c_0_2197,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_3,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2154]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2155]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_2156]) ).
cnf(c_0_2200,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1645]) ).
cnf(c_0_2201,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2074,c_0_2157]),c_0_91]) ).
cnf(c_0_2202,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2159]),c_0_82]) ).
cnf(c_0_2203,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2160]) ).
cnf(c_0_2204,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2161,c_0_1346]),c_0_82]) ).
cnf(c_0_2205,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_2162]) ).
cnf(c_0_2206,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1993,c_0_2163]),c_0_91]) ).
cnf(c_0_2207,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_2164]),c_0_91]) ).
cnf(c_0_2208,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2000]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1711,c_0_2165]) ).
cnf(c_0_2210,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2166]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1716]),c_0_241]) ).
cnf(c_0_2212,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2167]) ).
cnf(c_0_2213,negated_conjecture,
( product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2168,c_0_2169]),c_0_116]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2054]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2170,c_0_2171]),c_0_62]) ).
cnf(c_0_2216,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2133]),c_0_1181])]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1969]),c_0_621])]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2131]) ).
cnf(c_0_2219,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1758]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2172,c_0_2173]) ).
cnf(c_0_2221,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_938,c_0_1969]),c_0_55]) ).
cnf(c_0_2222,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2174]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1028,c_0_2175]),c_0_62]) ).
cnf(c_0_2224,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2176,c_0_462]),c_0_55]) ).
cnf(c_0_2225,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_2226,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2177]),c_0_91]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2178]),c_0_91]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2179]),c_0_116]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2180]),c_0_91]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_2181]) ).
cnf(c_0_2231,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2182]) ).
cnf(c_0_2232,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2183]) ).
cnf(c_0_2233,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2184]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2185,c_0_104]) ).
cnf(c_0_2235,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2186,c_0_2187]) ).
cnf(c_0_2236,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2026,c_0_1975]) ).
cnf(c_0_2237,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2188]) ).
cnf(c_0_2238,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2189,c_0_2190]) ).
cnf(c_0_2239,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_1697]),c_0_82]) ).
cnf(c_0_2240,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2191]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2192,c_0_1282]) ).
cnf(c_0_2242,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2193]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_2194]),c_0_116]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2118]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2153]) ).
cnf(c_0_2246,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2195,c_0_2196]),c_0_91]) ).
cnf(c_0_2247,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2083]),c_0_178]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2198,c_0_1346]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2199]),c_0_116]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2200,c_0_2201]),c_0_82]) ).
cnf(c_0_2251,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1067]) ).
cnf(c_0_2252,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2202]) ).
cnf(c_0_2253,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2203,c_0_1774]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2204]),c_0_178]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_2205]),c_0_178]) ).
cnf(c_0_2256,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2206]),c_0_71]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2207]),c_0_71]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2208,c_0_2209]),c_0_93]) ).
cnf(c_0_2259,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_478]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2210,c_0_2211]),c_0_71]) ).
cnf(c_0_2261,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2212,c_0_2213]),c_0_55]) ).
cnf(c_0_2262,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2214,c_0_2215]),c_0_178]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2125,c_0_2216]),c_0_91]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2125,c_0_2217]),c_0_91]),
[final] ).
cnf(c_0_2265,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2218,c_0_2056]) ).
cnf(c_0_2266,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2219,c_0_2220]),c_0_116]) ).
cnf(c_0_2267,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2221]) ).
cnf(c_0_2268,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2222,c_0_2223]),c_0_82]) ).
cnf(c_0_2269,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2224]) ).
cnf(c_0_2270,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_503]),c_0_2225])]) ).
cnf(c_0_2271,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_47]),
[final] ).
cnf(c_0_2272,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_317]) ).
cnf(c_0_2273,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_78]),
[final] ).
cnf(c_0_2274,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2226]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2227]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2228]),
[final] ).
cnf(c_0_2277,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2229]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2098]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2230]),c_0_116]) ).
cnf(c_0_2280,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2231,c_0_779]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2232,c_0_779]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2233,c_0_779]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2184]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_2234]) ).
cnf(c_0_2285,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2235]),c_0_178]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2067]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_2236]),c_0_116]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2237,c_0_779]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_780]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2238]),c_0_178]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_2239]) ).
cnf(c_0_2292,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2240,c_0_779]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2191]),
[final] ).
cnf(c_0_2294,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_780]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_712,c_0_1346]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_1438]),c_0_82]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_2241]),c_0_116]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2242,c_0_1282]) ).
cnf(c_0_2299,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2243]),c_0_82]),
[final] ).
cnf(c_0_2300,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_412]),c_0_82]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_598,c_0_1700]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2244,c_0_120]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_2118]),c_0_241]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2245,c_0_2246]),c_0_93]) ).
cnf(c_0_2305,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2247]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2248]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2249]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_981]),c_0_62]) ).
cnf(c_0_2309,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2250]),c_0_178]) ).
cnf(c_0_2310,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2216]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2251,c_0_861]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2252,c_0_2253]),c_0_55]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2253]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2160]),c_0_82]) ).
cnf(c_0_2315,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2254]),
[final] ).
cnf(c_0_2316,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2255]) ).
cnf(c_0_2317,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2256]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2257]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2258]),c_0_178]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2259,c_0_2166]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2260]) ).
cnf(c_0_2322,negated_conjecture,
( product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1240,c_0_2213]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2261]) ).
cnf(c_0_2324,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2171]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2262]),
[final] ).
cnf(c_0_2326,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2263]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2264]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( product(e_2,e_4,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2265]),c_0_71]),
[final] ).
cnf(c_0_2329,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1478,c_0_2266]),c_0_71]) ).
cnf(c_0_2330,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2267,c_0_2268]),c_0_82]) ).
cnf(c_0_2331,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2269,c_0_2224]) ).
cnf(c_0_2332,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2270,c_0_2271]) ).
cnf(c_0_2333,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_2334,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_2272,c_0_317]) ).
cnf(c_0_2335,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_265,c_0_190]) ).
cnf(c_0_2336,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_701,c_0_162]) ).
cnf(c_0_2337,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_2273,c_0_78]) ).
cnf(c_0_2338,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2274]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2217]),
[final] ).
cnf(c_0_2340,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2275]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2276,c_0_2098]),c_0_82]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2277]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2278,c_0_2279]),c_0_93]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_2098]),c_0_82]),
[final] ).
cnf(c_0_2345,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1798]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2280]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2281]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2282]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2283]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_1458]),c_0_241]),
[final] ).
cnf(c_0_2351,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_1036]),c_0_241]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2284]),c_0_116]) ).
cnf(c_0_2353,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1765]),
[final] ).
cnf(c_0_2354,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2285]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2286,c_0_96]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2287]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2288]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2289,c_0_96]) ).
cnf(c_0_2359,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2290]),
[final] ).
cnf(c_0_2360,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_2291]),c_0_116]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2292]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2293]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1733]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_2118]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2294,c_0_2295]),c_0_57]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2296]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2297]),c_0_82]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2193]),c_0_82]),
[final] ).
cnf(c_0_2369,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_2298]),c_0_116]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2299]),c_0_71]),
[final] ).
cnf(c_0_2371,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2300]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2301]),c_0_84]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2302]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2303]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_2070]),c_0_82]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2078]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1204]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_2304]),c_0_91]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2305,c_0_1306]),c_0_93]),
[final] ).
cnf(c_0_2380,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2306,c_0_2296]),c_0_71]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2307,c_0_1438]),c_0_82]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_2308]),c_0_178]) ).
cnf(c_0_2383,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1773]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1674,c_0_2309]),c_0_91]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2310,c_0_1515]),c_0_84]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2311]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1067]),c_0_82]) ).
cnf(c_0_2388,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2312]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2313,c_0_2314]),c_0_84]) ).
cnf(c_0_2390,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2315,c_0_1346]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2316,c_0_1777]),c_0_100]) ).
cnf(c_0_2392,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1953]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2317,c_0_1619]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_1998]),c_0_82]) ).
cnf(c_0_2395,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1998]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2318,c_0_1306]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2319]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1744]) ).
cnf(c_0_2399,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1961]) ).
cnf(c_0_2400,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2320]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2321,c_0_1716]) ).
cnf(c_0_2402,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2322]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2323,c_0_1786]) ).
cnf(c_0_2404,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1998]),c_0_100]) ).
cnf(c_0_2405,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2324,c_0_1125]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1793]) ).
cnf(c_0_2407,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2325,c_0_2054]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2326,c_0_1410]),c_0_116]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2327,c_0_1410]),c_0_116]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_374]) ).
cnf(c_0_2411,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_3,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2154]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( product(e_3,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2328]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( product(e_2,e_1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2329]),c_0_71]),
[final] ).
cnf(c_0_2414,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2263]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_2330]),c_0_91]) ).
cnf(c_0_2416,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_461,c_0_551]) ).
cnf(c_0_2417,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2331]) ).
cnf(c_0_2418,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2332]),c_0_2333])]) ).
cnf(c_0_2419,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(e_1,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2334]) ).
cnf(c_0_2420,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(e_2,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2335]) ).
cnf(c_0_2421,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2336]) ).
cnf(c_0_2422,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| equalish(e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2337]) ).
cnf(c_0_2423,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2095]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2338,c_0_96]) ).
cnf(c_0_2425,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_1515]),c_0_84]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2340,c_0_96]) ).
cnf(c_0_2427,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_2341]) ).
cnf(c_0_2428,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2097]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2342,c_0_96]) ).
cnf(c_0_2430,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_2343]) ).
cnf(c_0_2431,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_2344]) ).
cnf(c_0_2432,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2228]),c_0_93]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2345,c_0_96]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1763,c_0_1697]),c_0_93]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2063]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2346,c_0_96]) ).
cnf(c_0_2437,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2064]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2347,c_0_96]) ).
cnf(c_0_2439,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2348,c_0_96]) ).
cnf(c_0_2440,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2349,c_0_96]) ).
cnf(c_0_2441,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1847,c_0_2350]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1804,c_0_2351]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2352]),c_0_93]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_96]),
[final] ).
cnf(c_0_2445,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1980]),
[final] ).
cnf(c_0_2446,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2354,c_0_2355]),c_0_93]) ).
cnf(c_0_2447,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2356,c_0_2355]),c_0_93]) ).
cnf(c_0_2448,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2300]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_120]),c_0_93]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2068]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2357,c_0_96]) ).
cnf(c_0_2452,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_167]),c_0_62]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_2358]),c_0_93]) ).
cnf(c_0_2454,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2359,c_0_2355]),c_0_93]) ).
cnf(c_0_2455,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_1975]),c_0_82]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_875]),c_0_82]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_780]) ).
cnf(c_0_2458,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_2360]),c_0_93]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2361,c_0_96]) ).
cnf(c_0_2460,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2362,c_0_96]) ).
cnf(c_0_2461,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2118]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2363,c_0_2364]) ).
cnf(c_0_2463,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2365]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2366,c_0_2295]),c_0_55]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2367]),c_0_71]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1847,c_0_120]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1804,c_0_120]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_2193]),c_0_62]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2368]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2369]),c_0_82]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_2111]),c_0_62]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2111]),c_0_82]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2370]),c_0_91]) ).
cnf(c_0_2474,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_779]),c_0_55]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_2067]) ).
cnf(c_0_2476,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_2228]),c_0_93]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2149]),c_0_82]),
[final] ).
cnf(c_0_2478,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2372]),
[final] ).
cnf(c_0_2479,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_2372]),c_0_241]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2373,c_0_2374]),c_0_91]) ).
cnf(c_0_2481,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1771,c_0_2375]),c_0_62]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_2249]),c_0_93]),
[final] ).
cnf(c_0_2483,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2078]),
[final] ).
cnf(c_0_2484,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2376,c_0_96]) ).
cnf(c_0_2485,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2296]),c_0_71]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1204]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2377,c_0_96]) ).
cnf(c_0_2488,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2301]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_2301]) ).
cnf(c_0_2490,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_1399]),c_0_82]),
[final] ).
cnf(c_0_2491,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_694]) ).
cnf(c_0_2492,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2152,c_0_2378]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2379]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2380]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2306,c_0_2381]),c_0_84]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2382]),c_0_82]) ).
cnf(c_0_2497,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1550]) ).
cnf(c_0_2498,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2383,c_0_2384]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2385]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2386,c_0_2387]),c_0_84]) ).
cnf(c_0_2501,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2388,c_0_2389]),c_0_62]) ).
cnf(c_0_2502,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2390]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2391]) ).
cnf(c_0_2504,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2392,c_0_2393]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2394]) ).
cnf(c_0_2506,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2395,c_0_2396]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2085]) ).
cnf(c_0_2508,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2397,c_0_2000]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2398,c_0_2260]),c_0_116]) ).
cnf(c_0_2510,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2399,c_0_2261]),c_0_116]) ).
cnf(c_0_2511,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2400,c_0_2401]),c_0_91]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2047]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2217]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2216]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2402,c_0_2403]),c_0_91]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2404]) ).
cnf(c_0_2517,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2405]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2406,c_0_2407]),c_0_62]) ).
cnf(c_0_2519,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1098]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2264]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_986]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2408]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2409]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_448]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2410,c_0_557]),c_0_57]) ).
cnf(c_0_2526,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2411,c_0_1185]),c_0_116]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( product(e_3,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2412,c_0_2413]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(X1,X2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2414]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2133]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2222,c_0_2415]),c_0_100]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_3,X1)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_2416]) ).
cnf(c_0_2532,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_429]),c_0_463])]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2417,c_0_478]),c_0_55]) ).
cnf(c_0_2534,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2418,c_0_2271]) ).
cnf(c_0_2535,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_2536,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_2419,c_0_2334]) ).
cnf(c_0_2537,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2420,c_0_2335]) ).
cnf(c_0_2538,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2421,c_0_2336]) ).
cnf(c_0_2539,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_2422,c_0_2337]) ).
cnf(c_0_2540,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2423,c_0_2424]),c_0_93]) ).
cnf(c_0_2541,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2425]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2096,c_0_2426]),c_0_93]) ).
cnf(c_0_2543,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2427]),c_0_93]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2428,c_0_2429]),c_0_93]) ).
cnf(c_0_2545,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2430]),c_0_93]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2431]),c_0_93]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2432]),c_0_62]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2423,c_0_2433]),c_0_93]) ).
cnf(c_0_2549,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2096,c_0_2433]),c_0_93]) ).
cnf(c_0_2550,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_2434]),c_0_82]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2435,c_0_2436]),c_0_93]) ).
cnf(c_0_2552,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2437,c_0_2438]),c_0_93]) ).
cnf(c_0_2553,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_2439]),c_0_93]) ).
cnf(c_0_2554,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_2440]),c_0_93]) ).
cnf(c_0_2555,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2374]),c_0_93]) ).
cnf(c_0_2556,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2441]),c_0_93]) ).
cnf(c_0_2557,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2442]),c_0_93]) ).
cnf(c_0_2558,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2443]),c_0_62]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2428,c_0_2433]),c_0_93]) ).
cnf(c_0_2560,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2437,c_0_2444]),c_0_93]) ).
cnf(c_0_2561,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2435,c_0_2444]),c_0_93]) ).
cnf(c_0_2562,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2445,c_0_2446]),c_0_93]) ).
cnf(c_0_2563,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2105,c_0_2447]),c_0_91]) ).
cnf(c_0_2564,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2448,c_0_2449]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2450,c_0_2451]),c_0_93]) ).
cnf(c_0_2566,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2364]),
[final] ).
cnf(c_0_2567,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_2364]) ).
cnf(c_0_2568,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1482]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_1482]) ).
cnf(c_0_2570,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1699]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_1699]) ).
cnf(c_0_2572,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2452]),
[final] ).
cnf(c_0_2573,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2294,c_0_2453]),c_0_91]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2450,c_0_2444]),c_0_93]) ).
cnf(c_0_2575,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2105,c_0_2454]),c_0_91]) ).
cnf(c_0_2576,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2455]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_1798]) ).
cnf(c_0_2578,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2456]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2294,c_0_2457]),c_0_91]),
[final] ).
cnf(c_0_2580,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2458]),
[final] ).
cnf(c_0_2581,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_2458]) ).
cnf(c_0_2582,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2459]) ).
cnf(c_0_2583,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2460]) ).
cnf(c_0_2584,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2462]),c_0_71]) ).
cnf(c_0_2585,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2295]),
[final] ).
cnf(c_0_2586,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2463,c_0_2464]),c_0_91]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2465]),c_0_91]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2466]),
[final] ).
cnf(c_0_2589,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2467]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2468]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2469,c_0_2470]),c_0_91]) ).
cnf(c_0_2592,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2470]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2471]),
[final] ).
cnf(c_0_2594,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2472]),
[final] ).
cnf(c_0_2595,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2473]) ).
cnf(c_0_2596,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2299]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_1765]) ).
cnf(c_0_2598,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2474]),c_0_91]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2105,c_0_2475]),c_0_91]) ).
cnf(c_0_2600,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2476]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_2476]) ).
cnf(c_0_2602,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2477]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2302]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2364]),
[final] ).
cnf(c_0_2605,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_1079]),c_0_82]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2478,c_0_2479]) ).
cnf(c_0_2607,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2480]),c_0_71]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2481]),c_0_71]) ).
cnf(c_0_2609,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2482]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_2482]) ).
cnf(c_0_2611,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2483,c_0_2484]),c_0_116]) ).
cnf(c_0_2612,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2485]),c_0_91]),
[final] ).
cnf(c_0_2613,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2486,c_0_2487]),c_0_116]) ).
cnf(c_0_2614,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2488,c_0_2489]),c_0_91]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2367]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2247]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1112,c_0_2078]),c_0_100]) ).
cnf(c_0_2618,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_103]) ).
cnf(c_0_2619,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1112,c_0_1204]),c_0_100]) ).
cnf(c_0_2620,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2490]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1809]) ).
cnf(c_0_2622,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2491,c_0_2492]),c_0_62]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2493,c_0_1268]),c_0_84]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2248]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2494,c_0_2495]),c_0_62]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2496]) ).
cnf(c_0_2627,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2296]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2497,c_0_2498]),c_0_62]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2498]),c_0_84]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_3,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1811]) ).
cnf(c_0_2631,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X1,X2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2499]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2500]) ).
cnf(c_0_2633,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2501]) ).
cnf(c_0_2634,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2039]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2502,c_0_2381]),c_0_84]) ).
cnf(c_0_2636,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,X2,e_1)
| ~ product(X1,X2,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2499]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2499]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( product(e_4,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2413]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1901]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2503,c_0_2504]),c_0_57]) ).
cnf(c_0_2641,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2505,c_0_2506]),c_0_57]) ).
cnf(c_0_2642,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2507,c_0_2508]),c_0_57]) ).
cnf(c_0_2643,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2400,c_0_2509]),c_0_91]),
[final] ).
cnf(c_0_2644,negated_conjecture,
( product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2402,c_0_2510]),c_0_91]),
[final] ).
cnf(c_0_2645,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2511]),
[final] ).
cnf(c_0_2646,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2512,c_0_2513]),c_0_93]) ).
cnf(c_0_2647,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2512,c_0_2514]),c_0_93]) ).
cnf(c_0_2648,negated_conjecture,
( product(e_3,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2515]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2516,c_0_2257]),c_0_62]) ).
cnf(c_0_2650,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_144]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_144]) ).
cnf(c_0_2652,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2517,c_0_2518]),c_0_71]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2519,c_0_2414]),c_0_91]) ).
cnf(c_0_2654,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2519,c_0_2520]),c_0_91]) ).
cnf(c_0_2655,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2519,c_0_2514]),c_0_116]) ).
cnf(c_0_2656,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2519,c_0_2513]),c_0_116]) ).
cnf(c_0_2657,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2521,c_0_2522]),c_0_55]) ).
cnf(c_0_2658,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2521,c_0_2523]),c_0_55]) ).
cnf(c_0_2659,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2524,c_0_2525]),c_0_62]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2526]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( product(e_4,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1536,c_0_2527]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_2528,c_0_581]),
[final] ).
cnf(c_0_2663,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1996]) ).
cnf(c_0_2664,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_887]) ).
cnf(c_0_2665,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2529,c_0_2530]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_467]) ).
cnf(c_0_2667,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2531,c_0_1185]),c_0_116]) ).
cnf(c_0_2668,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_3,X1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2532]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2154]),
[final] ).
cnf(c_0_2670,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2532]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_101]) ).
cnf(c_0_2672,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_462]) ).
cnf(c_0_2673,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_2533]),c_0_84]) ).
cnf(c_0_2674,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_568,c_0_952]),
[final] ).
cnf(c_0_2675,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_806,c_0_621]),
[final] ).
cnf(c_0_2676,plain,
( product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2534]),c_0_2535])]) ).
cnf(c_0_2677,plain,
( product(e_1,e_4,e_1)
| equalish(e_1,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2536]) ).
cnf(c_0_2678,plain,
( product(e_2,e_4,e_1)
| equalish(e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2537]) ).
cnf(c_0_2679,plain,
( product(e_3,e_4,e_1)
| equalish(e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2538]) ).
cnf(c_0_2680,plain,
( product(e_4,e_4,e_1)
| equalish(e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2539]) ).
cnf(c_0_2681,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2341]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2343]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2344]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2540]),c_0_93]),
[final] ).
cnf(c_0_2685,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2499]),
[final] ).
cnf(c_0_2686,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2541]),
[final] ).
cnf(c_0_2687,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2542]),c_0_71]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2543]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2544]),c_0_71]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2545]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2546]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2547]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2548]),c_0_93]),
[final] ).
cnf(c_0_2694,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_2549]),c_0_91]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2483,c_0_2550]),c_0_116]) ).
cnf(c_0_2696,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2486,c_0_2550]),c_0_116]) ).
cnf(c_0_2697,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2550]) ).
cnf(c_0_2698,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2448,c_0_2364]) ).
cnf(c_0_2699,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2448,c_0_1482]) ).
cnf(c_0_2700,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2448,c_0_1699]) ).
cnf(c_0_2701,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2458]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2476]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2099,c_0_2551]),c_0_93]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2552]),c_0_71]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2553]),c_0_71]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2554]),c_0_71]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2555]),c_0_71]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2556]),c_0_71]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_2557]),c_0_71]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2558]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_2559]),c_0_91]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_2560]),c_0_91]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2099,c_0_2561]),c_0_93]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2562]) ).
cnf(c_0_2715,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2563]) ).
cnf(c_0_2716,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2249]),c_0_93]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2564]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2565]),c_0_71]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2566,c_0_2567]),c_0_91]) ).
cnf(c_0_2720,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2568,c_0_2569]),c_0_91]) ).
cnf(c_0_2721,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2570,c_0_2571]),c_0_91]) ).
cnf(c_0_2722,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2456]),c_0_71]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2572,c_0_2456]),c_0_93]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2573]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_2574]),c_0_91]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2575]) ).
cnf(c_0_2727,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2576,c_0_2078]),c_0_100]) ).
cnf(c_0_2728,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_2577]),c_0_91]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2486,c_0_2455]),c_0_116]) ).
cnf(c_0_2730,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2578,c_0_2456]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2455]) ).
cnf(c_0_2732,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2301]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2579]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2580,c_0_2581]),c_0_91]) ).
cnf(c_0_2735,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2582]),c_0_71]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2583]),c_0_71]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2584]) ).
cnf(c_0_2738,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2585,c_0_2586]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2587]),
[final] ).
cnf(c_0_2740,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2588,c_0_2441]),c_0_91]) ).
cnf(c_0_2741,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2589,c_0_2442]),c_0_91]) ).
cnf(c_0_2742,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2590,c_0_2470]),c_0_93]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2591]) ).
cnf(c_0_2744,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2592,c_0_2470]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2593,c_0_2299]),c_0_93]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2482]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2594,c_0_2299]),c_0_91]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2595,c_0_779]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2596,c_0_2299]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2367]),c_0_93]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_2597]),c_0_91]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2598]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2599]) ).
cnf(c_0_2754,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2600,c_0_2601]),c_0_91]) ).
cnf(c_0_2755,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2602,c_0_2367]),c_0_91]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2603,c_0_2118]) ).
cnf(c_0_2757,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2604,c_0_2118]) ).
cnf(c_0_2758,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2605]),
[final] ).
cnf(c_0_2759,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2372]),
[final] ).
cnf(c_0_2760,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2488,c_0_2606]),c_0_91]) ).
cnf(c_0_2761,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2607]) ).
cnf(c_0_2762,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2608]) ).
cnf(c_0_2763,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2609,c_0_2610]),c_0_91]) ).
cnf(c_0_2764,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2611]),c_0_71]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2612]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2613]),c_0_71]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2614]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2615,c_0_2367]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_3,X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2616]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2154]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2617]),c_0_71]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2618]),c_0_71]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2619]),c_0_71]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2620,c_0_2118]) ).
cnf(c_0_2775,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2366,c_0_2381]),c_0_62]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_1733]),c_0_71]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_996]) ).
cnf(c_0_2778,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2605]),c_0_71]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2621,c_0_946]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2492]),c_0_84]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2622]),
[final] ).
cnf(c_0_2782,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2622]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2492]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2623]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2379]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2624,c_0_2625]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2626,c_0_2311]),c_0_55]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2502,c_0_2296]),c_0_71]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2627,c_0_2296]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2628]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2629]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2498]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2630,c_0_1773]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_2631,c_0_581]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2632,c_0_2500]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2633,c_0_2253]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2635]),c_0_116]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_2636,c_0_581]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X2,X1) ),
inference(spm,[status(thm)],[c_0_2637,c_0_581]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( product(e_1,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1412]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( product(e_4,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2638,c_0_1758]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1412]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2639,c_0_2640]),c_0_62]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_2641]),c_0_62]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2123,c_0_2642]),c_0_62]),
[final] ).
cnf(c_0_2806,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1822,c_0_2643]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( product(e_4,e_2,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1828,c_0_2644]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2645,c_0_2320]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,e_4,e_3)
| ~ product(e_2,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2646]) ).
cnf(c_0_2810,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,e_4,e_3)
| ~ product(e_2,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2647]) ).
cnf(c_0_2811,negated_conjecture,
( product(e_3,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2648,c_0_2322]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2257]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2395,c_0_2649]) ).
cnf(c_0_2814,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2650,c_0_2651]),c_0_91]) ).
cnf(c_0_2815,negated_conjecture,
( product(e_4,e_1,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1719,c_0_2515]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2652]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2653]) ).
cnf(c_0_2818,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2654]) ).
cnf(c_0_2819,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2655]) ).
cnf(c_0_2820,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2656]) ).
cnf(c_0_2821,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_2,X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2522]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2408]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_1,e_4,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2657]) ).
cnf(c_0_2824,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2409]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_1,e_4,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2658]) ).
cnf(c_0_2826,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2659]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2519,c_0_2660]),c_0_116]) ).
cnf(c_0_2828,negated_conjecture,
( product(e_3,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2661]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( product(e_2,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2527]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2413]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_3,X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2414]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X1,X2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2414]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2662,c_0_2012]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2414]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2663,c_0_2256]),c_0_62]) ).
cnf(c_0_2836,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1745,c_0_2511]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1969]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2664,c_0_2665]),c_0_62]) ).
cnf(c_0_2839,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2530]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2666,c_0_536]),c_0_62]) ).
cnf(c_0_2841,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2514]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2667]) ).
cnf(c_0_2843,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2668,c_0_1185]),c_0_116]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2532]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( product(e_1,e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2669,c_0_583]),c_0_55]) ).
cnf(c_0_2846,negated_conjecture,
( product(e_1,e_1,e_1)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2670,c_0_583]),c_0_55]) ).
cnf(c_0_2847,negated_conjecture,
( product(e_1,e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_583]),c_0_2535])]) ).
cnf(c_0_2848,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_694]) ).
cnf(c_0_2849,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2515]) ).
cnf(c_0_2850,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1786]) ).
cnf(c_0_2851,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2671,c_0_101]) ).
cnf(c_0_2852,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2672,c_0_2673]) ).
cnf(c_0_2853,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_2674,c_0_970]),
[final] ).
cnf(c_0_2854,plain,
( ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_2675,c_0_463]),
[final] ).
cnf(c_0_2855,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_827,c_0_2333]),
[final] ).
cnf(c_0_2856,plain,
( product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2676,c_0_2271]) ).
cnf(c_0_2857,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_1,X3)
| ~ greater(X4,X2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_806,c_0_2271]),
[final] ).
cnf(c_0_2858,plain,
( product(e_1,e_4,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_2677,c_0_2536]) ).
cnf(c_0_2859,plain,
( product(e_2,e_4,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2678,c_0_2537]) ).
cnf(c_0_2860,plain,
( product(e_3,e_4,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2679,c_0_2538]) ).
cnf(c_0_2861,plain,
( product(e_4,e_4,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_2680,c_0_2539]) ).
cnf(c_0_2862,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
cycle1,
[final] ).
cnf(c_0_2863,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2681,c_0_96]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2682,c_0_96]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2683,c_0_96]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2684]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2522]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2523]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2687]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2660]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2546]),c_0_71]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2546]),c_0_71]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2688,c_0_2341]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2689]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2690,c_0_2343]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2691,c_0_2344]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2692,c_0_2432]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2345,c_0_2693]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2345,c_0_2694]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2695]),c_0_93]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2696]),c_0_93]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_2697]),c_0_93]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2698]),c_0_71]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2699]),c_0_71]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_2700]),c_0_71]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2701,c_0_96]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2702,c_0_96]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2564]),c_0_71]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2564]),c_0_71]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2703]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2704]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2226]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2513]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2274]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2226]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2226]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2705]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2706]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2227]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2707]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2708]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2709]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2710,c_0_2443]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2345,c_0_2711]),
[final] ).
cnf(c_0_2905,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2712]),
[final] ).
cnf(c_0_2906,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2713]),
[final] ).
cnf(c_0_2907,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2714,c_0_2067]),
[final] ).
cnf(c_0_2908,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2715,c_0_2067]),
[final] ).
cnf(c_0_2909,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2716]),c_0_62]),
[final] ).
cnf(c_0_2910,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2717,c_0_2449]),
[final] ).
cnf(c_0_2911,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2275]),
[final] ).
cnf(c_0_2912,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2227]),
[final] ).
cnf(c_0_2913,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2227]),
[final] ).
cnf(c_0_2914,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2707]),
[final] ).
cnf(c_0_2915,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2707]),
[final] ).
cnf(c_0_2916,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2708]),
[final] ).
cnf(c_0_2917,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2708]),
[final] ).
cnf(c_0_2918,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2709]),
[final] ).
cnf(c_0_2919,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2709]),
[final] ).
cnf(c_0_2920,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2263]),
[final] ).
cnf(c_0_2921,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2264]),
[final] ).
cnf(c_0_2922,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2718]),
[final] ).
cnf(c_0_2923,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2280]),
[final] ).
cnf(c_0_2924,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2281]),
[final] ).
cnf(c_0_2925,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2229]),
[final] ).
cnf(c_0_2926,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2277]),
[final] ).
cnf(c_0_2927,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2229]),
[final] ).
cnf(c_0_2928,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2229]),
[final] ).
cnf(c_0_2929,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2461,c_0_2719]),c_0_71]),
[final] ).
cnf(c_0_2930,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2720]),c_0_71]),
[final] ).
cnf(c_0_2931,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_2721]),c_0_71]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2722]),
[final] ).
cnf(c_0_2933,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2723]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2724,c_0_780]),
[final] ).
cnf(c_0_2935,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2725]),
[final] ).
cnf(c_0_2936,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2726,c_0_2067]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2727]),c_0_71]),
[final] ).
cnf(c_0_2938,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2345,c_0_2728]),
[final] ).
cnf(c_0_2939,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2729]),c_0_71]),
[final] ).
cnf(c_0_2940,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2573]),
[final] ).
cnf(c_0_2941,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2730]),
[final] ).
cnf(c_0_2942,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_2731]),c_0_71]),
[final] ).
cnf(c_0_2943,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2732,c_0_96]),
[final] ).
cnf(c_0_2944,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2733,c_0_780]),
[final] ).
cnf(c_0_2945,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2294,c_0_2456]),c_0_91]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2098]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2098]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_3,X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2520]),
[final] ).
cnf(c_0_2949,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2288]),
[final] ).
cnf(c_0_2950,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2701,c_0_2734]),
[final] ).
cnf(c_0_2951,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2735]),
[final] ).
cnf(c_0_2952,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2736]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2737]),c_0_116]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2738]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2739]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2365]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2466]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2467]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2184]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_2740]),c_0_71]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_2741]),c_0_71]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2586]),
[final] ).
cnf(c_0_2963,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2730]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2742]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2743,c_0_2368]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2744]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2745]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2370]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2746,c_0_2747]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2748]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2748]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2749]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2587]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2465]),
[final] ).
cnf(c_0_2975,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2750]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2464]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2751]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2282]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2752,c_0_779]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2753,c_0_2067]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2702,c_0_2754]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2746,c_0_2755]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2756]),c_0_116]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2757]),c_0_116]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2283]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2184]),
[final] ).
cnf(c_0_2987,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2184]),
[final] ).
cnf(c_0_2988,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2526]),
[final] ).
cnf(c_0_2989,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2738]),
[final] ).
cnf(c_0_2990,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2586]),
[final] ).
cnf(c_0_2991,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2586]),
[final] ).
cnf(c_0_2992,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2739]),
[final] ).
cnf(c_0_2993,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2587]),
[final] ).
cnf(c_0_2994,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2034]),
[final] ).
cnf(c_0_2995,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2758,c_0_2490]),c_0_62]),
[final] ).
cnf(c_0_2996,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2579]),
[final] ).
cnf(c_0_2997,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2759,c_0_2760]),c_0_71]),
[final] ).
cnf(c_0_2998,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2761]),c_0_116]),
[final] ).
cnf(c_0_2999,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2762]),c_0_116]),
[final] ).
cnf(c_0_3000,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2746,c_0_2763]),
[final] ).
cnf(c_0_3001,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2764]),
[final] ).
cnf(c_0_3002,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2765]),
[final] ).
cnf(c_0_3003,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2766]),
[final] ).
cnf(c_0_3004,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2767,c_0_2301]),
[final] ).
cnf(c_0_3005,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2768]),
[final] ).
cnf(c_0_3006,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2360]),
[final] ).
cnf(c_0_3007,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2434]),
[final] ).
cnf(c_0_3008,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_3,X1,e_2)
| ~ product(e_1,X2,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2770]),
[final] ).
cnf(c_0_3009,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2771]),
[final] ).
cnf(c_0_3010,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2612]),
[final] ).
cnf(c_0_3011,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2485]),
[final] ).
cnf(c_0_3012,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2732,c_0_2614]),
[final] ).
cnf(c_0_3013,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2759,c_0_2614]),c_0_71]),
[final] ).
cnf(c_0_3014,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2772]),
[final] ).
cnf(c_0_3015,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2773]),
[final] ).
cnf(c_0_3016,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2295]),
[final] ).
cnf(c_0_3017,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2774]),c_0_116]),
[final] ).
cnf(c_0_3018,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_2746,c_0_2775]),
[final] ).
cnf(c_0_3019,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_2776]),c_0_91]),
[final] ).
cnf(c_0_3020,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2777,c_0_2778]),c_0_91]),
[final] ).
cnf(c_0_3021,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2434]),
[final] ).
cnf(c_0_3022,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2779]),
[final] ).
cnf(c_0_3023,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2765]),
[final] ).
cnf(c_0_3024,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2612]),
[final] ).
cnf(c_0_3025,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2780]),
[final] ).
cnf(c_0_3026,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2781,c_0_2492]),
[final] ).
cnf(c_0_3027,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2782,c_0_2780]),c_0_55]),
[final] ).
cnf(c_0_3028,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2783,c_0_2622]),
[final] ).
cnf(c_0_3029,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_4,X1,e_2)
| ~ product(e_2,X2,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2784]),
[final] ).
cnf(c_0_3030,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2780]),
[final] ).
cnf(c_0_3031,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2378]),
[final] ).
cnf(c_0_3032,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_3,X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2785]),
[final] ).
cnf(c_0_3033,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2492]),
[final] ).
cnf(c_0_3034,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2378]),
[final] ).
cnf(c_0_3035,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_2254]),c_0_62]),
[final] ).
cnf(c_0_3036,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2495]),
[final] ).
cnf(c_0_3037,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2786]),
[final] ).
cnf(c_0_3038,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1414]),
[final] ).
cnf(c_0_3039,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2191]),
[final] ).
cnf(c_0_3040,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2292]),
[final] ).
cnf(c_0_3041,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2293]),
[final] ).
cnf(c_0_3042,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2191]),
[final] ).
cnf(c_0_3043,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2191]),
[final] ).
cnf(c_0_3044,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2787]),
[final] ).
cnf(c_0_3045,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2788]),
[final] ).
cnf(c_0_3046,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2495]),
[final] ).
cnf(c_0_3047,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2789]),
[final] ).
cnf(c_0_3048,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2075]),
[final] ).
cnf(c_0_3049,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2629]),
[final] ).
cnf(c_0_3050,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2790,c_0_2498]),
[final] ).
cnf(c_0_3051,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2791,c_0_2628]),c_0_71]),
[final] ).
cnf(c_0_3052,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2792,c_0_2628]),
[final] ).
cnf(c_0_3053,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2629]),
[final] ).
cnf(c_0_3054,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2384]),
[final] ).
cnf(c_0_3055,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2498]),
[final] ).
cnf(c_0_3056,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2384]),
[final] ).
cnf(c_0_3057,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2793]),
[final] ).
cnf(c_0_3058,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_2,X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2770]),
[final] ).
cnf(c_0_3059,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2623]),
[final] ).
cnf(c_0_3060,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_2785]),c_0_91]) ).
cnf(c_0_3061,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_2660]),c_0_116]) ).
cnf(c_0_3062,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1851,c_0_2616]),c_0_100]) ).
cnf(c_0_3063,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1414]),
[final] ).
cnf(c_0_3064,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2786]),
[final] ).
cnf(c_0_3065,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]),
[final] ).
cnf(c_0_3066,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_831]),
[final] ).
cnf(c_0_3067,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1376]),
[final] ).
cnf(c_0_3068,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2625]),
[final] ).
cnf(c_0_3069,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_95]),
[final] ).
cnf(c_0_3070,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_4,X1,X2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2794,c_0_2522]) ).
cnf(c_0_3071,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2795]),
[final] ).
cnf(c_0_3072,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2796]),
[final] ).
cnf(c_0_3073,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2797]),
[final] ).
cnf(c_0_3074,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2798,c_0_2522]) ).
cnf(c_0_3075,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_4,X2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2799,c_0_2522]) ).
cnf(c_0_3076,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2795]),
[final] ).
cnf(c_0_3077,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2796]),
[final] ).
cnf(c_0_3078,negated_conjecture,
( product(e_1,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2800,c_0_2499]) ).
cnf(c_0_3079,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2801]) ).
cnf(c_0_3080,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2802,c_0_2499]),c_0_84]) ).
cnf(c_0_3081,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2803]),
[final] ).
cnf(c_0_3082,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2659]),
[final] ).
cnf(c_0_3083,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2804]),
[final] ).
cnf(c_0_3084,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2805]),
[final] ).
cnf(c_0_3085,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2803]),
[final] ).
cnf(c_0_3086,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2804]),
[final] ).
cnf(c_0_3087,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2659]),
[final] ).
cnf(c_0_3088,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2805]),
[final] ).
cnf(c_0_3089,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2385]),
[final] ).
cnf(c_0_3090,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_1,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2208,c_0_2499]),c_0_93]) ).
cnf(c_0_3091,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1268]),
[final] ).
cnf(c_0_3092,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2114,c_0_412]),
[final] ).
cnf(c_0_3093,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2625]),
[final] ).
cnf(c_0_3094,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1346]),
[final] ).
cnf(c_0_3095,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2625]),
[final] ).
cnf(c_0_3096,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2390]),
[final] ).
cnf(c_0_3097,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2390]),
[final] ).
cnf(c_0_3098,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2248]),
[final] ).
cnf(c_0_3099,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1346]),
[final] ).
cnf(c_0_3100,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2228]),
[final] ).
cnf(c_0_3101,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2249]),
[final] ).
cnf(c_0_3102,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2301]),
[final] ).
cnf(c_0_3103,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2407]),
[final] ).
cnf(c_0_3104,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2806]),
[final] ).
cnf(c_0_3105,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2665]),
[final] ).
cnf(c_0_3106,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2407]),
[final] ).
cnf(c_0_3107,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2806]),
[final] ).
cnf(c_0_3108,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2665]),
[final] ).
cnf(c_0_3109,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1721]),
[final] ).
cnf(c_0_3110,negated_conjecture,
( product(e_3,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2807]),
[final] ).
cnf(c_0_3111,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2808]),
[final] ).
cnf(c_0_3112,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2174]),
[final] ).
cnf(c_0_3113,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2809,c_0_1268]),c_0_178]) ).
cnf(c_0_3114,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2810,c_0_1268]),c_0_178]) ).
cnf(c_0_3115,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2807]),
[final] ).
cnf(c_0_3116,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2811]),
[final] ).
cnf(c_0_3117,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2372]),
[final] ).
cnf(c_0_3118,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1700]),
[final] ).
cnf(c_0_3119,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1700]),
[final] ).
cnf(c_0_3120,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2118]),
[final] ).
cnf(c_0_3121,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2396]),
[final] ).
cnf(c_0_3122,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2506]),
[final] ).
cnf(c_0_3123,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2396]),
[final] ).
cnf(c_0_3124,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2506]),
[final] ).
cnf(c_0_3125,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2812,c_0_2813]),c_0_116]),
[final] ).
cnf(c_0_3126,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_1998]),c_0_62]),
[final] ).
cnf(c_0_3127,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_2,X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2523]),
[final] ).
cnf(c_0_3128,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2814]),
[final] ).
cnf(c_0_3129,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1306]),
[final] ).
cnf(c_0_3130,negated_conjecture,
( cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2815]),c_0_621])]),
[final] ).
cnf(c_0_3131,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2816,c_0_2785]),c_0_82]) ).
cnf(c_0_3132,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2817,c_0_1306]),c_0_93]) ).
cnf(c_0_3133,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2818,c_0_1306]),c_0_93]) ).
cnf(c_0_3134,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2819,c_0_1306]),c_0_93]) ).
cnf(c_0_3135,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2820,c_0_1306]),c_0_93]) ).
cnf(c_0_3136,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_96]),
[final] ).
cnf(c_0_3137,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_96]),
[final] ).
cnf(c_0_3138,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1376]),
[final] ).
cnf(c_0_3139,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2253]),
[final] ).
cnf(c_0_3140,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2253]),
[final] ).
cnf(c_0_3141,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1458]),
[final] ).
cnf(c_0_3142,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1376]),
[final] ).
cnf(c_0_3143,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_831]),
[final] ).
cnf(c_0_3144,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_831]),
[final] ).
cnf(c_0_3145,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2311]),
[final] ).
cnf(c_0_3146,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2311]),
[final] ).
cnf(c_0_3147,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1036]),
[final] ).
cnf(c_0_3148,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2025]),
[final] ).
cnf(c_0_3149,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2025]),
[final] ).
cnf(c_0_3150,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_587]),c_0_82]),
[final] ).
cnf(c_0_3151,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_779]),
[final] ).
cnf(c_0_3152,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2000]),
[final] ).
cnf(c_0_3153,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_2319]),c_0_62]),
[final] ).
cnf(c_0_3154,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2508]),
[final] ).
cnf(c_0_3155,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2508]),
[final] ).
cnf(c_0_3156,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2000]),
[final] ).
cnf(c_0_3157,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2054]),
[final] ).
cnf(c_0_3158,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2643]),
[final] ).
cnf(c_0_3159,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2530]),
[final] ).
cnf(c_0_3160,negated_conjecture,
( product(e_1,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2644]),
[final] ).
cnf(c_0_3161,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1956]),
[final] ).
cnf(c_0_3162,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2643]),
[final] ).
cnf(c_0_3163,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2530]),
[final] ).
cnf(c_0_3164,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2644]),
[final] ).
cnf(c_0_3165,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X1,X2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2522]),
[final] ).
cnf(c_0_3166,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_2171]),c_0_62]),
[final] ).
cnf(c_0_3167,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2405]),
[final] ).
cnf(c_0_3168,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2405]),
[final] ).
cnf(c_0_3169,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2522]),
[final] ).
cnf(c_0_3170,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2522]),
[final] ).
cnf(c_0_3171,negated_conjecture,
( product(e_4,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2638,c_0_2522]) ).
cnf(c_0_3172,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2821,c_0_1758]) ).
cnf(c_0_3173,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2822,c_0_2823]),c_0_71]) ).
cnf(c_0_3174,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_2825]),c_0_71]) ).
cnf(c_0_3175,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1975]),
[final] ).
cnf(c_0_3176,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2408]),
[final] ).
cnf(c_0_3177,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2826,c_0_2522]),c_0_100]) ).
cnf(c_0_3178,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2409]),
[final] ).
cnf(c_0_3179,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2826,c_0_2523]),c_0_100]) ).
cnf(c_0_3180,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_3,e_2)
| ~ product(X1,e_1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2827]) ).
cnf(c_0_3181,negated_conjecture,
( product(e_3,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2828,c_0_2514]) ).
cnf(c_0_3182,negated_conjecture,
( product(e_2,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2829,c_0_2414]) ).
cnf(c_0_3183,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2661]),
[final] ).
cnf(c_0_3184,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_3185,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2527]),
[final] ).
cnf(c_0_3186,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2830,c_0_952]),
[final] ).
cnf(c_0_3187,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2056]) ).
cnf(c_0_3188,negated_conjecture,
( product(e_1,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_2832,c_0_581]),
[final] ).
cnf(c_0_3189,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2833,c_0_2514]),c_0_93]) ).
cnf(c_0_3190,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X2,X1) ),
inference(spm,[status(thm)],[c_0_2834,c_0_581]),
[final] ).
cnf(c_0_3191,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2219,c_0_2414]),c_0_91]) ).
cnf(c_0_3192,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2219,c_0_2514]),c_0_116]) ).
cnf(c_0_3193,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2393]),
[final] ).
cnf(c_0_3194,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2504]),
[final] ).
cnf(c_0_3195,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2393]),
[final] ).
cnf(c_0_3196,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2504]),
[final] ).
cnf(c_0_3197,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2041,c_0_2835]),c_0_71]),
[final] ).
cnf(c_0_3198,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1619]),
[final] ).
cnf(c_0_3199,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2836]),
[final] ).
cnf(c_0_3200,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2836]),
[final] ).
cnf(c_0_3201,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_780]),
[final] ).
cnf(c_0_3202,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X1,X2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2514]),
[final] ).
cnf(c_0_3203,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X2,e_3)
| ~ product(X1,X2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2514]),
[final] ).
cnf(c_0_3204,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2514]),
[final] ).
cnf(c_0_3205,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2837,c_0_2838]),c_0_71]),
[final] ).
cnf(c_0_3206,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2526]),
[final] ).
cnf(c_0_3207,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2839,c_0_2770]),c_0_62]) ).
cnf(c_0_3208,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2839,c_0_2660]),c_0_93]) ).
cnf(c_0_3209,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_2840]),c_0_71]),
[final] ).
cnf(c_0_3210,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_1412]) ).
cnf(c_0_3211,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_144]),
[final] ).
cnf(c_0_3212,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_126]),
[final] ).
cnf(c_0_3213,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_551]),
[final] ).
cnf(c_0_3214,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_557]),
[final] ).
cnf(c_0_3215,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_3,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2216]),
[final] ).
cnf(c_0_3216,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2826,c_0_2414]),c_0_82]) ).
cnf(c_0_3217,negated_conjecture,
( ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2842,c_0_2216]),c_0_91]),
[final] ).
cnf(c_0_3218,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_1969]),
[final] ).
cnf(c_0_3219,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1969]),
[final] ).
cnf(c_0_3220,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_3,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2217]),
[final] ).
cnf(c_0_3221,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2826,c_0_2520]),c_0_82]) ).
cnf(c_0_3222,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2843]),
[final] ).
cnf(c_0_3223,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_2815]),
[final] ).
cnf(c_0_3224,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_2770]),c_0_241]) ).
cnf(c_0_3225,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_3,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_2844]),c_0_241]) ).
cnf(c_0_3226,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_593]),
[final] ).
cnf(c_0_3227,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2845]) ).
cnf(c_0_3228,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_1,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2846]) ).
cnf(c_0_3229,negated_conjecture,
( ~ cycle(e_1,e_0)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_461,c_0_2847]),
[final] ).
cnf(c_0_3230,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2532]),
[final] ).
cnf(c_0_3231,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2848,c_0_1944]),c_0_82]) ).
cnf(c_0_3232,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2815]),
[final] ).
cnf(c_0_3233,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2849,c_0_595]) ).
cnf(c_0_3234,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_429]),
[final] ).
cnf(c_0_3235,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_2850,c_0_952]) ).
cnf(c_0_3236,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1324]) ).
cnf(c_0_3237,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_113]),
[final] ).
cnf(c_0_3238,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2851]) ).
cnf(c_0_3239,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_551]),
[final] ).
cnf(c_0_3240,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_557]),
[final] ).
cnf(c_0_3241,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_2852]),c_0_178]) ).
cnf(c_0_3242,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_2853,c_0_597]),
[final] ).
cnf(c_0_3243,plain,
( ~ cycle(e_3,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_2675,c_0_1181]),
[final] ).
cnf(c_0_3244,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_2,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_2854,c_0_658]),
[final] ).
cnf(c_0_3245,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_121]),
[final] ).
cnf(c_0_3246,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_2855,c_0_597]),
[final] ).
cnf(c_0_3247,plain,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2856]) ).
cnf(c_0_3248,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_1,X2) ),
inference(spm,[status(thm)],[c_0_2857,c_0_952]),
[final] ).
cnf(c_0_3249,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_827,c_0_569]),
[final] ).
cnf(c_0_3250,plain,
( ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_2675,c_0_2225]),
[final] ).
cnf(c_0_3251,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2843]),
[final] ).
cnf(c_0_3252,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1925]),c_0_482])]),
[final] ).
cnf(c_0_3253,plain,
( equalish(e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2858]) ).
cnf(c_0_3254,plain,
( equalish(e_2,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2859]) ).
cnf(c_0_3255,plain,
( equalish(e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2860]) ).
cnf(c_0_3256,plain,
( equalish(e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2861]) ).
cnf(c_0_3257,plain,
( equalish(X1,e_0)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_2862,c_0_621]),
[final] ).
cnf(c_0_3258,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2863]),
[final] ).
cnf(c_0_3259,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2863]),
[final] ).
cnf(c_0_3260,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2863]),
[final] ).
cnf(c_0_3261,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2863]),
[final] ).
cnf(c_0_3262,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2864]),
[final] ).
cnf(c_0_3263,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2865]),
[final] ).
cnf(c_0_3264,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2866,c_0_2541]),
[final] ).
cnf(c_0_3265,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2866,c_0_2499]),
[final] ).
cnf(c_0_3266,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2684]),
[final] ).
cnf(c_0_3267,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2684]),
[final] ).
cnf(c_0_3268,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2684]),
[final] ).
cnf(c_0_3269,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2684]),
[final] ).
cnf(c_0_3270,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2684]),
[final] ).
cnf(c_0_3271,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2684]),
[final] ).
cnf(c_0_3272,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2684]),
[final] ).
cnf(c_0_3273,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2869,c_0_2541]),
[final] ).
cnf(c_0_3274,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2869,c_0_2499]),
[final] ).
cnf(c_0_3275,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2687]),
[final] ).
cnf(c_0_3276,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2687]),
[final] ).
cnf(c_0_3277,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2687]),
[final] ).
cnf(c_0_3278,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2687]),
[final] ).
cnf(c_0_3279,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2687]),
[final] ).
cnf(c_0_3280,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2687]),
[final] ).
cnf(c_0_3281,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2687]),
[final] ).
cnf(c_0_3282,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2864]),
[final] ).
cnf(c_0_3283,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2864]),
[final] ).
cnf(c_0_3284,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2864]),
[final] ).
cnf(c_0_3285,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2865]),
[final] ).
cnf(c_0_3286,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2865]),
[final] ).
cnf(c_0_3287,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2865]),
[final] ).
cnf(c_0_3288,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2871]),
[final] ).
cnf(c_0_3289,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2872]),
[final] ).
cnf(c_0_3290,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2873]),
[final] ).
cnf(c_0_3291,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2873]),
[final] ).
cnf(c_0_3292,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2873]),
[final] ).
cnf(c_0_3293,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2873]),
[final] ).
cnf(c_0_3294,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2871]),
[final] ).
cnf(c_0_3295,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2872]),
[final] ).
cnf(c_0_3296,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2874,c_0_2541]),
[final] ).
cnf(c_0_3297,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2874,c_0_2499]),
[final] ).
cnf(c_0_3298,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2689]),
[final] ).
cnf(c_0_3299,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2689]),
[final] ).
cnf(c_0_3300,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2689]),
[final] ).
cnf(c_0_3301,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2689]),
[final] ).
cnf(c_0_3302,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2689]),
[final] ).
cnf(c_0_3303,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2689]),
[final] ).
cnf(c_0_3304,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2689]),
[final] ).
cnf(c_0_3305,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2543]),
[final] ).
cnf(c_0_3306,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2543]),
[final] ).
cnf(c_0_3307,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2543]),
[final] ).
cnf(c_0_3308,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2871]),
[final] ).
cnf(c_0_3309,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2871]),
[final] ).
cnf(c_0_3310,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2871]),
[final] ).
cnf(c_0_3311,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2872]),
[final] ).
cnf(c_0_3312,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2872]),
[final] ).
cnf(c_0_3313,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2872]),
[final] ).
cnf(c_0_3314,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2875]),
[final] ).
cnf(c_0_3315,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2876]),
[final] ).
cnf(c_0_3316,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2875]),
[final] ).
cnf(c_0_3317,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2876]),
[final] ).
cnf(c_0_3318,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2877]),
[final] ).
cnf(c_0_3319,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2875]),
[final] ).
cnf(c_0_3320,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2875]),
[final] ).
cnf(c_0_3321,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2875]),
[final] ).
cnf(c_0_3322,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2878]),
[final] ).
cnf(c_0_3323,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2693]),
[final] ).
cnf(c_0_3324,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2879]),
[final] ).
cnf(c_0_3325,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2694]),
[final] ).
cnf(c_0_3326,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2880]),
[final] ).
cnf(c_0_3327,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2881]),
[final] ).
cnf(c_0_3328,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2882]),
[final] ).
cnf(c_0_3329,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2876]),
[final] ).
cnf(c_0_3330,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2876]),
[final] ).
cnf(c_0_3331,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2876]),
[final] ).
cnf(c_0_3332,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2883]),
[final] ).
cnf(c_0_3333,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2884]),
[final] ).
cnf(c_0_3334,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2885]),
[final] ).
cnf(c_0_3335,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2886]),
[final] ).
cnf(c_0_3336,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2433]),
[final] ).
cnf(c_0_3337,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2887]),
[final] ).
cnf(c_0_3338,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2877]),
[final] ).
cnf(c_0_3339,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2877]),
[final] ).
cnf(c_0_3340,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2877]),
[final] ).
cnf(c_0_3341,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2888]),
[final] ).
cnf(c_0_3342,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2889]),
[final] ).
cnf(c_0_3343,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2545]),
[final] ).
cnf(c_0_3344,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2545]),
[final] ).
cnf(c_0_3345,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2545]),
[final] ).
cnf(c_0_3346,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2545]),c_0_178]),
[final] ).
cnf(c_0_3347,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2541]),
[final] ).
cnf(c_0_3348,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2499]),
[final] ).
cnf(c_0_3349,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2703]),
[final] ).
cnf(c_0_3350,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2703]),
[final] ).
cnf(c_0_3351,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2703]),
[final] ).
cnf(c_0_3352,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2703]),
[final] ).
cnf(c_0_3353,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2703]),
[final] ).
cnf(c_0_3354,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2703]),
[final] ).
cnf(c_0_3355,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2703]),
[final] ).
cnf(c_0_3356,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2541]),
[final] ).
cnf(c_0_3357,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2499]),
[final] ).
cnf(c_0_3358,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2704]),
[final] ).
cnf(c_0_3359,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2704]),
[final] ).
cnf(c_0_3360,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2704]),
[final] ).
cnf(c_0_3361,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2704]),
[final] ).
cnf(c_0_3362,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2704]),
[final] ).
cnf(c_0_3363,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2704]),
[final] ).
cnf(c_0_3364,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2704]),
[final] ).
cnf(c_0_3365,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2878]),
[final] ).
cnf(c_0_3366,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2878]),
[final] ).
cnf(c_0_3367,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2878]),
[final] ).
cnf(c_0_3368,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2693]),
[final] ).
cnf(c_0_3369,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2693]),
[final] ).
cnf(c_0_3370,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2693]),
[final] ).
cnf(c_0_3371,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2879]),
[final] ).
cnf(c_0_3372,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2879]),
[final] ).
cnf(c_0_3373,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2879]),
[final] ).
cnf(c_0_3374,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2694]),
[final] ).
cnf(c_0_3375,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2694]),
[final] ).
cnf(c_0_3376,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2694]),
[final] ).
cnf(c_0_3377,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2338,c_0_2541]),
[final] ).
cnf(c_0_3378,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2338,c_0_2499]),
[final] ).
cnf(c_0_3379,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2514]),
[final] ).
cnf(c_0_3380,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2513]),
[final] ).
cnf(c_0_3381,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2274]),
[final] ).
cnf(c_0_3382,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2274]),
[final] ).
cnf(c_0_3383,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2226]),
[final] ).
cnf(c_0_3384,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2226]),
[final] ).
cnf(c_0_3385,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2226]),
[final] ).
cnf(c_0_3386,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2894,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3387,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2894,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3388,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2895,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3389,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2895,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_3390,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2896,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3391,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2896,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3392,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2274]),
[final] ).
cnf(c_0_3393,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2274]),
[final] ).
cnf(c_0_3394,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2880]),
[final] ).
cnf(c_0_3395,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2880]),
[final] ).
cnf(c_0_3396,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2880]),
[final] ).
cnf(c_0_3397,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2881]),
[final] ).
cnf(c_0_3398,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2881]),
[final] ).
cnf(c_0_3399,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2881]),
[final] ).
cnf(c_0_3400,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2882]),
[final] ).
cnf(c_0_3401,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2882]),
[final] ).
cnf(c_0_3402,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2882]),
[final] ).
cnf(c_0_3403,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2897,c_0_2541]),
[final] ).
cnf(c_0_3404,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2897,c_0_2499]),
[final] ).
cnf(c_0_3405,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2705]),
[final] ).
cnf(c_0_3406,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2705]),
[final] ).
cnf(c_0_3407,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2705]),
[final] ).
cnf(c_0_3408,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2705]),
[final] ).
cnf(c_0_3409,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2705]),
[final] ).
cnf(c_0_3410,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2705]),
[final] ).
cnf(c_0_3411,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2705]),
[final] ).
cnf(c_0_3412,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2898,c_0_2541]),
[final] ).
cnf(c_0_3413,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2898,c_0_2499]),
[final] ).
cnf(c_0_3414,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2706]),
[final] ).
cnf(c_0_3415,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2706]),
[final] ).
cnf(c_0_3416,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2706]),
[final] ).
cnf(c_0_3417,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2706]),
[final] ).
cnf(c_0_3418,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2706]),
[final] ).
cnf(c_0_3419,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2706]),
[final] ).
cnf(c_0_3420,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2706]),
[final] ).
cnf(c_0_3421,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2546]),
[final] ).
cnf(c_0_3422,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2546]),
[final] ).
cnf(c_0_3423,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2546]),
[final] ).
cnf(c_0_3424,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2546]),c_0_178]),
[final] ).
cnf(c_0_3425,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2883]),
[final] ).
cnf(c_0_3426,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2883]),
[final] ).
cnf(c_0_3427,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2883]),
[final] ).
cnf(c_0_3428,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2884]),
[final] ).
cnf(c_0_3429,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2884]),
[final] ).
cnf(c_0_3430,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2884]),
[final] ).
cnf(c_0_3431,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2885]),
[final] ).
cnf(c_0_3432,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2885]),
[final] ).
cnf(c_0_3433,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2885]),
[final] ).
cnf(c_0_3434,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2886]),
[final] ).
cnf(c_0_3435,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2886]),
[final] ).
cnf(c_0_3436,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2886]),
[final] ).
cnf(c_0_3437,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2433]),
[final] ).
cnf(c_0_3438,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2433]),
[final] ).
cnf(c_0_3439,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2433]),
[final] ).
cnf(c_0_3440,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2887]),
[final] ).
cnf(c_0_3441,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2887]),
[final] ).
cnf(c_0_3442,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2887]),
[final] ).
cnf(c_0_3443,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2547]),
[final] ).
cnf(c_0_3444,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2547]),
[final] ).
cnf(c_0_3445,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2547]),
[final] ).
cnf(c_0_3446,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2888]),
[final] ).
cnf(c_0_3447,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2888]),
[final] ).
cnf(c_0_3448,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2888]),
[final] ).
cnf(c_0_3449,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2889]),
[final] ).
cnf(c_0_3450,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2889]),
[final] ).
cnf(c_0_3451,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2889]),
[final] ).
cnf(c_0_3452,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2340,c_0_2541]),
[final] ).
cnf(c_0_3453,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2340,c_0_2499]),
[final] ).
cnf(c_0_3454,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2899,c_0_2514]),
[final] ).
cnf(c_0_3455,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2899,c_0_2513]),
[final] ).
cnf(c_0_3456,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2275]),
[final] ).
cnf(c_0_3457,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2275]),
[final] ).
cnf(c_0_3458,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2227]),
[final] ).
cnf(c_0_3459,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2227]),
[final] ).
cnf(c_0_3460,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2900,c_0_2514]),
[final] ).
cnf(c_0_3461,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2901,c_0_2514]),
[final] ).
cnf(c_0_3462,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2902,c_0_2514]),
[final] ).
cnf(c_0_3463,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2707]),
[final] ).
cnf(c_0_3464,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2707]),
[final] ).
cnf(c_0_3465,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2708]),
[final] ).
cnf(c_0_3466,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2708]),
[final] ).
cnf(c_0_3467,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2709]),
[final] ).
cnf(c_0_3468,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2709]),
[final] ).
cnf(c_0_3469,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2903]),
[final] ).
cnf(c_0_3470,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2903]),
[final] ).
cnf(c_0_3471,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2903]),
[final] ).
cnf(c_0_3472,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2903]),
[final] ).
cnf(c_0_3473,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2904]),
[final] ).
cnf(c_0_3474,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2711]),
[final] ).
cnf(c_0_3475,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2905]),
[final] ).
cnf(c_0_3476,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2712]),
[final] ).
cnf(c_0_3477,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2906]),
[final] ).
cnf(c_0_3478,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2713]),
[final] ).
cnf(c_0_3479,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2907]),
[final] ).
cnf(c_0_3480,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2907]),
[final] ).
cnf(c_0_3481,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2907]),
[final] ).
cnf(c_0_3482,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2907]),
[final] ).
cnf(c_0_3483,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2908]),
[final] ).
cnf(c_0_3484,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2908]),
[final] ).
cnf(c_0_3485,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2908]),
[final] ).
cnf(c_0_3486,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2908]),
[final] ).
cnf(c_0_3487,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2227]),
[final] ).
cnf(c_0_3488,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2707]),
[final] ).
cnf(c_0_3489,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2708]),
[final] ).
cnf(c_0_3490,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2709]),
[final] ).
cnf(c_0_3491,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2444]),
[final] ).
cnf(c_0_3492,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2355]),
[final] ).
cnf(c_0_3493,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2909]),
[final] ).
cnf(c_0_3494,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2550]),
[final] ).
cnf(c_0_3495,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2910]),
[final] ).
cnf(c_0_3496,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2911,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3497,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2911,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3498,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2912,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3499,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2912,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_3500,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2913,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3501,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2913,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3502,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2914,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3503,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2915,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3504,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2916,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3505,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2917,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3506,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2918,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3507,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2919,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3508,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2558]),
[final] ).
cnf(c_0_3509,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2558]),
[final] ).
cnf(c_0_3510,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2558]),
[final] ).
cnf(c_0_3511,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2443]),
[final] ).
cnf(c_0_3512,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2443]),
[final] ).
cnf(c_0_3513,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2443]),
[final] ).
cnf(c_0_3514,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2443]),
[final] ).
cnf(c_0_3515,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2682,c_0_2784]),
[final] ).
cnf(c_0_3516,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2343]),
[final] ).
cnf(c_0_3517,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2343]),
[final] ).
cnf(c_0_3518,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2343]),
[final] ).
cnf(c_0_3519,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2343]),c_0_178]),
[final] ).
cnf(c_0_3520,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2343]),c_0_178]),
[final] ).
cnf(c_0_3521,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2904]),
[final] ).
cnf(c_0_3522,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2904]),
[final] ).
cnf(c_0_3523,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2904]),
[final] ).
cnf(c_0_3524,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2711]),
[final] ).
cnf(c_0_3525,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2711]),
[final] ).
cnf(c_0_3526,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2711]),
[final] ).
cnf(c_0_3527,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2922,c_0_2541]),
[final] ).
cnf(c_0_3528,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2922,c_0_2499]),
[final] ).
cnf(c_0_3529,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2718]),
[final] ).
cnf(c_0_3530,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2718]),
[final] ).
cnf(c_0_3531,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2718]),
[final] ).
cnf(c_0_3532,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2718]),
[final] ).
cnf(c_0_3533,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2718]),
[final] ).
cnf(c_0_3534,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2718]),
[final] ).
cnf(c_0_3535,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2718]),
[final] ).
cnf(c_0_3536,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2905]),
[final] ).
cnf(c_0_3537,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2905]),
[final] ).
cnf(c_0_3538,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2905]),
[final] ).
cnf(c_0_3539,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2712]),
[final] ).
cnf(c_0_3540,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2712]),
[final] ).
cnf(c_0_3541,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2712]),
[final] ).
cnf(c_0_3542,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2906]),
[final] ).
cnf(c_0_3543,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2906]),
[final] ).
cnf(c_0_3544,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2906]),
[final] ).
cnf(c_0_3545,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2713]),
[final] ).
cnf(c_0_3546,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2713]),
[final] ).
cnf(c_0_3547,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2713]),
[final] ).
cnf(c_0_3548,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2346,c_0_2541]),
[final] ).
cnf(c_0_3549,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2346,c_0_2499]),
[final] ).
cnf(c_0_3550,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2280]),
[final] ).
cnf(c_0_3551,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2280]),
[final] ).
cnf(c_0_3552,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2923,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3553,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2923,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3554,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2280]),
[final] ).
cnf(c_0_3555,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2280]),
[final] ).
cnf(c_0_3556,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2347,c_0_2541]),
[final] ).
cnf(c_0_3557,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2347,c_0_2499]),
[final] ).
cnf(c_0_3558,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2281]),
[final] ).
cnf(c_0_3559,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2281]),
[final] ).
cnf(c_0_3560,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2924,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3561,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2924,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3562,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2281]),
[final] ).
cnf(c_0_3563,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2281]),
[final] ).
cnf(c_0_3564,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2275]),
[final] ).
cnf(c_0_3565,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2275]),
[final] ).
cnf(c_0_3566,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2342,c_0_2541]),
[final] ).
cnf(c_0_3567,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2342,c_0_2499]),
[final] ).
cnf(c_0_3568,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2925,c_0_2514]),
[final] ).
cnf(c_0_3569,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2925,c_0_2513]),
[final] ).
cnf(c_0_3570,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2277]),
[final] ).
cnf(c_0_3571,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2277]),
[final] ).
cnf(c_0_3572,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2229]),
[final] ).
cnf(c_0_3573,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2229]),
[final] ).
cnf(c_0_3574,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2229]),
[final] ).
cnf(c_0_3575,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2926,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3576,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2926,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3577,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2927,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3578,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2927,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_3579,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2928,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3580,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2928,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3581,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2277]),
[final] ).
cnf(c_0_3582,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2277]),
[final] ).
cnf(c_0_3583,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2444]),
[final] ).
cnf(c_0_3584,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2444]),
[final] ).
cnf(c_0_3585,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2444]),
[final] ).
cnf(c_0_3586,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2355]),
[final] ).
cnf(c_0_3587,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2355]),
[final] ).
cnf(c_0_3588,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2355]),
[final] ).
cnf(c_0_3589,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2909]),
[final] ).
cnf(c_0_3590,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2909]),
[final] ).
cnf(c_0_3591,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2909]),
[final] ).
cnf(c_0_3592,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2550]),
[final] ).
cnf(c_0_3593,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2550]),
[final] ).
cnf(c_0_3594,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2550]),
[final] ).
cnf(c_0_3595,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2910]),
[final] ).
cnf(c_0_3596,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2910]),
[final] ).
cnf(c_0_3597,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2910]),
[final] ).
cnf(c_0_3598,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2341]),
[final] ).
cnf(c_0_3599,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2341]),
[final] ).
cnf(c_0_3600,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2341]),
[final] ).
cnf(c_0_3601,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2683,c_0_2784]),
[final] ).
cnf(c_0_3602,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2929]),
[final] ).
cnf(c_0_3603,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2930]),
[final] ).
cnf(c_0_3604,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2931]),
[final] ).
cnf(c_0_3605,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2932,c_0_2541]),
[final] ).
cnf(c_0_3606,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2932,c_0_2499]),
[final] ).
cnf(c_0_3607,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2933,c_0_2541]),
[final] ).
cnf(c_0_3608,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2933,c_0_2499]),
[final] ).
cnf(c_0_3609,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2278,c_0_2514]),
[final] ).
cnf(c_0_3610,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2278,c_0_2513]),
[final] ).
cnf(c_0_3611,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2722]),
[final] ).
cnf(c_0_3612,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2722]),
[final] ).
cnf(c_0_3613,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2722]),
[final] ).
cnf(c_0_3614,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2722]),
[final] ).
cnf(c_0_3615,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2723]),
[final] ).
cnf(c_0_3616,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2723]),
[final] ).
cnf(c_0_3617,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2723]),
[final] ).
cnf(c_0_3618,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2723]),
[final] ).
cnf(c_0_3619,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2934]),
[final] ).
cnf(c_0_3620,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2929]),
[final] ).
cnf(c_0_3621,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2935]),
[final] ).
cnf(c_0_3622,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2725]),
[final] ).
cnf(c_0_3623,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2936]),
[final] ).
cnf(c_0_3624,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2936]),
[final] ).
cnf(c_0_3625,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2936]),
[final] ).
cnf(c_0_3626,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2936]),
[final] ).
cnf(c_0_3627,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2930]),
[final] ).
cnf(c_0_3628,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2931]),
[final] ).
cnf(c_0_3629,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2937]),
[final] ).
cnf(c_0_3630,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2938]),
[final] ).
cnf(c_0_3631,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2939]),
[final] ).
cnf(c_0_3632,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2728]),
[final] ).
cnf(c_0_3633,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2940]),
[final] ).
cnf(c_0_3634,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2941]),
[final] ).
cnf(c_0_3635,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2934]),
[final] ).
cnf(c_0_3636,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2934]),
[final] ).
cnf(c_0_3637,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2934]),
[final] ).
cnf(c_0_3638,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2942]),
[final] ).
cnf(c_0_3639,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2716]),
[final] ).
cnf(c_0_3640,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2943]),
[final] ).
cnf(c_0_3641,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2479]),
[final] ).
cnf(c_0_3642,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2944]),
[final] ).
cnf(c_0_3643,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2722]),
[final] ).
cnf(c_0_3644,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2945]),
[final] ).
cnf(c_0_3645,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2723]),
[final] ).
cnf(c_0_3646,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2929]),
[final] ).
cnf(c_0_3647,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2929]),
[final] ).
cnf(c_0_3648,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2929]),
[final] ).
cnf(c_0_3649,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2946,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3650,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2946,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_3651,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2947,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3652,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2947,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3653,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2935]),
[final] ).
cnf(c_0_3654,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2935]),
[final] ).
cnf(c_0_3655,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2935]),
[final] ).
cnf(c_0_3656,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2725]),
[final] ).
cnf(c_0_3657,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2725]),
[final] ).
cnf(c_0_3658,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2725]),
[final] ).
cnf(c_0_3659,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2095]),
[final] ).
cnf(c_0_3660,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2095]),
[final] ).
cnf(c_0_3661,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2095]),
[final] ).
cnf(c_0_3662,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2095]),
[final] ).
cnf(c_0_3663,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2095]),
[final] ).
cnf(c_0_3664,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2098]),
[final] ).
cnf(c_0_3665,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2098]),
[final] ).
cnf(c_0_3666,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2930]),
[final] ).
cnf(c_0_3667,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2930]),
[final] ).
cnf(c_0_3668,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2930]),
[final] ).
cnf(c_0_3669,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2357,c_0_2541]),
[final] ).
cnf(c_0_3670,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2357,c_0_2499]),
[final] ).
cnf(c_0_3671,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2288]),
[final] ).
cnf(c_0_3672,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2288]),
[final] ).
cnf(c_0_3673,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2949,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3674,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2949,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3675,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2288]),
[final] ).
cnf(c_0_3676,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2288]),
[final] ).
cnf(c_0_3677,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2931]),
[final] ).
cnf(c_0_3678,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2931]),
[final] ).
cnf(c_0_3679,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2931]),
[final] ).
cnf(c_0_3680,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2950]),
[final] ).
cnf(c_0_3681,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2950]),
[final] ).
cnf(c_0_3682,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2950]),
[final] ).
cnf(c_0_3683,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2950]),
[final] ).
cnf(c_0_3684,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2937]),
[final] ).
cnf(c_0_3685,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2937]),
[final] ).
cnf(c_0_3686,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2937]),
[final] ).
cnf(c_0_3687,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2938]),
[final] ).
cnf(c_0_3688,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2938]),
[final] ).
cnf(c_0_3689,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2938]),
[final] ).
cnf(c_0_3690,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2939]),
[final] ).
cnf(c_0_3691,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2939]),
[final] ).
cnf(c_0_3692,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2939]),
[final] ).
cnf(c_0_3693,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2728]),
[final] ).
cnf(c_0_3694,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2728]),
[final] ).
cnf(c_0_3695,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2728]),
[final] ).
cnf(c_0_3696,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2940]),
[final] ).
cnf(c_0_3697,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2951,c_0_2541]),
[final] ).
cnf(c_0_3698,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2951,c_0_2499]),
[final] ).
cnf(c_0_3699,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2735]),
[final] ).
cnf(c_0_3700,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2735]),
[final] ).
cnf(c_0_3701,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2735]),
[final] ).
cnf(c_0_3702,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2735]),
[final] ).
cnf(c_0_3703,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2952,c_0_2541]),
[final] ).
cnf(c_0_3704,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2735]),
[final] ).
cnf(c_0_3705,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2735]),
[final] ).
cnf(c_0_3706,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2735]),
[final] ).
cnf(c_0_3707,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2952,c_0_2499]),
[final] ).
cnf(c_0_3708,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2736]),
[final] ).
cnf(c_0_3709,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2736]),
[final] ).
cnf(c_0_3710,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2736]),
[final] ).
cnf(c_0_3711,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2736]),
[final] ).
cnf(c_0_3712,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2736]),
[final] ).
cnf(c_0_3713,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2736]),
[final] ).
cnf(c_0_3714,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2736]),
[final] ).
cnf(c_0_3715,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2940]),
[final] ).
cnf(c_0_3716,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2940]),
[final] ).
cnf(c_0_3717,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2941]),
[final] ).
cnf(c_0_3718,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2941]),
[final] ).
cnf(c_0_3719,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2941]),
[final] ).
cnf(c_0_3720,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2573]),
[final] ).
cnf(c_0_3721,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2573]),
[final] ).
cnf(c_0_3722,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2573]),
[final] ).
cnf(c_0_3723,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2942]),
[final] ).
cnf(c_0_3724,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2942]),
[final] ).
cnf(c_0_3725,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2942]),
[final] ).
cnf(c_0_3726,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2344]),
[final] ).
cnf(c_0_3727,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2344]),
[final] ).
cnf(c_0_3728,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2344]),
[final] ).
cnf(c_0_3729,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2716]),
[final] ).
cnf(c_0_3730,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2716]),
[final] ).
cnf(c_0_3731,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2716]),
[final] ).
cnf(c_0_3732,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2943]),
[final] ).
cnf(c_0_3733,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2943]),
[final] ).
cnf(c_0_3734,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2943]),
[final] ).
cnf(c_0_3735,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2479]),
[final] ).
cnf(c_0_3736,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2479]),
[final] ).
cnf(c_0_3737,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2479]),
[final] ).
cnf(c_0_3738,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2944]),
[final] ).
cnf(c_0_3739,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2944]),
[final] ).
cnf(c_0_3740,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2944]),
[final] ).
cnf(c_0_3741,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2142]),
[final] ).
cnf(c_0_3742,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2953]),
[final] ).
cnf(c_0_3743,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2953]),
[final] ).
cnf(c_0_3744,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2953]),
[final] ).
cnf(c_0_3745,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2953]),
[final] ).
cnf(c_0_3746,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2142]),
[final] ).
cnf(c_0_3747,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2142]),
[final] ).
cnf(c_0_3748,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2722]),
[final] ).
cnf(c_0_3749,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2722]),
[final] ).
cnf(c_0_3750,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2945]),
[final] ).
cnf(c_0_3751,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2945]),
[final] ).
cnf(c_0_3752,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2945]),
[final] ).
cnf(c_0_3753,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2723]),
[final] ).
cnf(c_0_3754,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2723]),
[final] ).
cnf(c_0_3755,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2348,c_0_2541]),
[final] ).
cnf(c_0_3756,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2348,c_0_2499]),
[final] ).
cnf(c_0_3757,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2349,c_0_2541]),
[final] ).
cnf(c_0_3758,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2349,c_0_2499]),
[final] ).
cnf(c_0_3759,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2954,c_0_2541]),
[final] ).
cnf(c_0_3760,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2954,c_0_2499]),
[final] ).
cnf(c_0_3761,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2955,c_0_2541]),
[final] ).
cnf(c_0_3762,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2955,c_0_2499]),
[final] ).
cnf(c_0_3763,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2956,c_0_2541]),
[final] ).
cnf(c_0_3764,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2956,c_0_2499]),
[final] ).
cnf(c_0_3765,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2603,c_0_2784]),
[final] ).
cnf(c_0_3766,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2604,c_0_2784]),
[final] ).
cnf(c_0_3767,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2957,c_0_2784]),
[final] ).
cnf(c_0_3768,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1510,c_0_2784]),
[final] ).
cnf(c_0_3769,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2958,c_0_2784]),
[final] ).
cnf(c_0_3770,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2341]),c_0_178]),
[final] ).
cnf(c_0_3771,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2341]),c_0_178]),
[final] ).
cnf(c_0_3772,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1731,c_0_2784]),
[final] ).
cnf(c_0_3773,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2282]),
[final] ).
cnf(c_0_3774,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2282]),
[final] ).
cnf(c_0_3775,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2959,c_0_2514]),
[final] ).
cnf(c_0_3776,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2959,c_0_2513]),
[final] ).
cnf(c_0_3777,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2283]),
[final] ).
cnf(c_0_3778,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2283]),
[final] ).
cnf(c_0_3779,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2184]),
[final] ).
cnf(c_0_3780,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2184]),
[final] ).
cnf(c_0_3781,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2607]),
[final] ).
cnf(c_0_3782,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2960]),
[final] ).
cnf(c_0_3783,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2961]),
[final] ).
cnf(c_0_3784,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2962,c_0_2514]),
[final] ).
cnf(c_0_3785,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2962,c_0_2513]),
[final] ).
cnf(c_0_3786,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2963,c_0_2541]),
[final] ).
cnf(c_0_3787,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2963,c_0_2499]),
[final] ).
cnf(c_0_3788,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2964,c_0_2541]),
[final] ).
cnf(c_0_3789,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2964,c_0_2499]),
[final] ).
cnf(c_0_3790,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2742]),
[final] ).
cnf(c_0_3791,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2742]),
[final] ).
cnf(c_0_3792,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2742]),
[final] ).
cnf(c_0_3793,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2742]),
[final] ).
cnf(c_0_3794,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2742]),
[final] ).
cnf(c_0_3795,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2965]),
[final] ).
cnf(c_0_3796,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2965]),
[final] ).
cnf(c_0_3797,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2965]),
[final] ).
cnf(c_0_3798,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2965]),
[final] ).
cnf(c_0_3799,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2742]),
[final] ).
cnf(c_0_3800,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2742]),
[final] ).
cnf(c_0_3801,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2966,c_0_2541]),
[final] ).
cnf(c_0_3802,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2966,c_0_2499]),
[final] ).
cnf(c_0_3803,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2744]),
[final] ).
cnf(c_0_3804,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2744]),
[final] ).
cnf(c_0_3805,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2744]),
[final] ).
cnf(c_0_3806,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2744]),
[final] ).
cnf(c_0_3807,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2744]),
[final] ).
cnf(c_0_3808,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2744]),
[final] ).
cnf(c_0_3809,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2744]),
[final] ).
cnf(c_0_3810,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2368]),
[final] ).
cnf(c_0_3811,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2470]),
[final] ).
cnf(c_0_3812,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2470]),
[final] ).
cnf(c_0_3813,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2470]),
[final] ).
cnf(c_0_3814,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2468]),
[final] ).
cnf(c_0_3815,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2468]),
[final] ).
cnf(c_0_3816,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2368]),
[final] ).
cnf(c_0_3817,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2368]),
[final] ).
cnf(c_0_3818,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2369]),
[final] ).
cnf(c_0_3819,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2368]),c_0_178]),
[final] ).
cnf(c_0_3820,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2368]),c_0_178]),
[final] ).
cnf(c_0_3821,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2369]),
[final] ).
cnf(c_0_3822,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2369]),
[final] ).
cnf(c_0_3823,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2369]),
[final] ).
cnf(c_0_3824,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2369]),
[final] ).
cnf(c_0_3825,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2369]),
[final] ).
cnf(c_0_3826,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2193]),
[final] ).
cnf(c_0_3827,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2193]),
[final] ).
cnf(c_0_3828,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2193]),
[final] ).
cnf(c_0_3829,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2967,c_0_2541]),
[final] ).
cnf(c_0_3830,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2967,c_0_2499]),
[final] ).
cnf(c_0_3831,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2968,c_0_2541]),
[final] ).
cnf(c_0_3832,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2968,c_0_2499]),
[final] ).
cnf(c_0_3833,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2745]),
[final] ).
cnf(c_0_3834,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2745]),
[final] ).
cnf(c_0_3835,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2745]),
[final] ).
cnf(c_0_3836,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2745]),
[final] ).
cnf(c_0_3837,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2370]),
[final] ).
cnf(c_0_3838,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2370]),
[final] ).
cnf(c_0_3839,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2370]),
[final] ).
cnf(c_0_3840,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2370]),
[final] ).
cnf(c_0_3841,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2969]),
[final] ).
cnf(c_0_3842,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2970,c_0_2541]),
[final] ).
cnf(c_0_3843,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2970,c_0_2499]),
[final] ).
cnf(c_0_3844,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2748]),
[final] ).
cnf(c_0_3845,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2748]),
[final] ).
cnf(c_0_3846,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2971,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3847,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2971,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3848,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2748]),
[final] ).
cnf(c_0_3849,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2748]),
[final] ).
cnf(c_0_3850,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2745]),
[final] ).
cnf(c_0_3851,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2747]),
[final] ).
cnf(c_0_3852,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2370]),
[final] ).
cnf(c_0_3853,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2969]),
[final] ).
cnf(c_0_3854,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2969]),
[final] ).
cnf(c_0_3855,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2969]),
[final] ).
cnf(c_0_3856,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2745]),
[final] ).
cnf(c_0_3857,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2745]),
[final] ).
cnf(c_0_3858,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2747]),
[final] ).
cnf(c_0_3859,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2747]),
[final] ).
cnf(c_0_3860,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2747]),
[final] ).
cnf(c_0_3861,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2370]),
[final] ).
cnf(c_0_3862,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2370]),
[final] ).
cnf(c_0_3863,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2972,c_0_2541]),
[final] ).
cnf(c_0_3864,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2972,c_0_2499]),
[final] ).
cnf(c_0_3865,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2749]),
[final] ).
cnf(c_0_3866,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2749]),
[final] ).
cnf(c_0_3867,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2749]),
[final] ).
cnf(c_0_3868,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2749]),
[final] ).
cnf(c_0_3869,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2749]),
[final] ).
cnf(c_0_3870,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2749]),
[final] ).
cnf(c_0_3871,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2749]),
[final] ).
cnf(c_0_3872,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2472]),
[final] ).
cnf(c_0_3873,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2299]),
[final] ).
cnf(c_0_3874,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2299]),
[final] ).
cnf(c_0_3875,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2299]),
[final] ).
cnf(c_0_3876,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2471]),
[final] ).
cnf(c_0_3877,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2471]),
[final] ).
cnf(c_0_3878,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2472]),
[final] ).
cnf(c_0_3879,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2472]),
[final] ).
cnf(c_0_3880,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2472]),c_0_178]),
[final] ).
cnf(c_0_3881,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2472]),c_0_178]),
[final] ).
cnf(c_0_3882,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2243]),
[final] ).
cnf(c_0_3883,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2243]),
[final] ).
cnf(c_0_3884,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2243]),
[final] ).
cnf(c_0_3885,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2243]),
[final] ).
cnf(c_0_3886,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2243]),
[final] ).
cnf(c_0_3887,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2243]),
[final] ).
cnf(c_0_3888,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2111]),
[final] ).
cnf(c_0_3889,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2111]),
[final] ).
cnf(c_0_3890,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2111]),
[final] ).
cnf(c_0_3891,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2973,c_0_2514]),
[final] ).
cnf(c_0_3892,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2973,c_0_2513]),
[final] ).
cnf(c_0_3893,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2974,c_0_2541]),
[final] ).
cnf(c_0_3894,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2974,c_0_2499]),
[final] ).
cnf(c_0_3895,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2975,c_0_2541]),
[final] ).
cnf(c_0_3896,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2975,c_0_2499]),
[final] ).
cnf(c_0_3897,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2976,c_0_2541]),
[final] ).
cnf(c_0_3898,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2976,c_0_2499]),
[final] ).
cnf(c_0_3899,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2738]),
[final] ).
cnf(c_0_3900,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2738]),
[final] ).
cnf(c_0_3901,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2586]),
[final] ).
cnf(c_0_3902,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2586]),
[final] ).
cnf(c_0_3903,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2463,c_0_2541]),
[final] ).
cnf(c_0_3904,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2463,c_0_2499]),
[final] ).
cnf(c_0_3905,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2730]),
[final] ).
cnf(c_0_3906,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2730]),
[final] ).
cnf(c_0_3907,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2730]),
[final] ).
cnf(c_0_3908,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2730]),
[final] ).
cnf(c_0_3909,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2739]),
[final] ).
cnf(c_0_3910,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2739]),
[final] ).
cnf(c_0_3911,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2587]),
[final] ).
cnf(c_0_3912,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2587]),
[final] ).
cnf(c_0_3913,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2465]),
[final] ).
cnf(c_0_3914,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2465]),
[final] ).
cnf(c_0_3915,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2465]),
[final] ).
cnf(c_0_3916,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2465]),
[final] ).
cnf(c_0_3917,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2750]),
[final] ).
cnf(c_0_3918,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2750]),
[final] ).
cnf(c_0_3919,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2750]),
[final] ).
cnf(c_0_3920,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2750]),
[final] ).
cnf(c_0_3921,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2464]),
[final] ).
cnf(c_0_3922,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2464]),
[final] ).
cnf(c_0_3923,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2464]),
[final] ).
cnf(c_0_3924,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2464]),
[final] ).
cnf(c_0_3925,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2365]),
[final] ).
cnf(c_0_3926,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2365]),
[final] ).
cnf(c_0_3927,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2365]),
[final] ).
cnf(c_0_3928,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2365]),
[final] ).
cnf(c_0_3929,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2063]),
[final] ).
cnf(c_0_3930,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2063]),
[final] ).
cnf(c_0_3931,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2063]),
[final] ).
cnf(c_0_3932,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2063]),
[final] ).
cnf(c_0_3933,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2063]),
[final] ).
cnf(c_0_3934,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2977]),
[final] ).
cnf(c_0_3935,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2751]),
[final] ).
cnf(c_0_3936,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2978,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3937,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2978,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3938,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2282]),
[final] ).
cnf(c_0_3939,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2282]),
[final] ).
cnf(c_0_3940,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2979]),
[final] ).
cnf(c_0_3941,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2980]),
[final] ).
cnf(c_0_3942,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2980]),
[final] ).
cnf(c_0_3943,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2980]),
[final] ).
cnf(c_0_3944,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2980]),
[final] ).
cnf(c_0_3945,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2285]),
[final] ).
cnf(c_0_3946,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2285]),
[final] ).
cnf(c_0_3947,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2285]),
[final] ).
cnf(c_0_3948,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2285]),
[final] ).
cnf(c_0_3949,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2285]),
[final] ).
cnf(c_0_3950,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2607]),
[final] ).
cnf(c_0_3951,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2960]),
[final] ).
cnf(c_0_3952,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2432]),
[final] ).
cnf(c_0_3953,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2432]),
[final] ).
cnf(c_0_3954,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2961]),
[final] ).
cnf(c_0_3955,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2432]),
[final] ).
cnf(c_0_3956,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2432]),
[final] ).
cnf(c_0_3957,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2981]),
[final] ).
cnf(c_0_3958,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2586]),
[final] ).
cnf(c_0_3959,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2730]),
[final] ).
cnf(c_0_3960,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2982]),
[final] ).
cnf(c_0_3961,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2587]),
[final] ).
cnf(c_0_3962,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2374]),
[final] ).
cnf(c_0_3963,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2755]),
[final] ).
cnf(c_0_3964,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2465]),
[final] ).
cnf(c_0_3965,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2750]),
[final] ).
cnf(c_0_3966,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2464]),
[final] ).
cnf(c_0_3967,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2481]),
[final] ).
cnf(c_0_3968,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2441]),
[final] ).
cnf(c_0_3969,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2983]),
[final] ).
cnf(c_0_3970,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2983]),
[final] ).
cnf(c_0_3971,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2983]),
[final] ).
cnf(c_0_3972,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2983]),
[final] ).
cnf(c_0_3973,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2303]),
[final] ).
cnf(c_0_3974,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2984]),
[final] ).
cnf(c_0_3975,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2984]),
[final] ).
cnf(c_0_3976,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2984]),
[final] ).
cnf(c_0_3977,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2984]),
[final] ).
cnf(c_0_3978,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2442]),
[final] ).
cnf(c_0_3979,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2985,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3980,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2985,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3981,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2986,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_3982,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2986,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_3983,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2987,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_3984,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2987,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_3985,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2977]),
[final] ).
cnf(c_0_3986,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2977]),
[final] ).
cnf(c_0_3987,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2977]),
[final] ).
cnf(c_0_3988,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2751]),
[final] ).
cnf(c_0_3989,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2751]),
[final] ).
cnf(c_0_3990,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2751]),
[final] ).
cnf(c_0_3991,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2283]),
[final] ).
cnf(c_0_3992,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2283]),
[final] ).
cnf(c_0_3993,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2350]),
[final] ).
cnf(c_0_3994,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2068]),
[final] ).
cnf(c_0_3995,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2068]),
[final] ).
cnf(c_0_3996,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2068]),
[final] ).
cnf(c_0_3997,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2068]),
[final] ).
cnf(c_0_3998,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2068]),
[final] ).
cnf(c_0_3999,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2064]),
[final] ).
cnf(c_0_4000,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2064]),
[final] ).
cnf(c_0_4001,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2064]),
[final] ).
cnf(c_0_4002,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2064]),
[final] ).
cnf(c_0_4003,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2064]),
[final] ).
cnf(c_0_4004,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1730]),
[final] ).
cnf(c_0_4005,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1730]),
[final] ).
cnf(c_0_4006,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1765]),
[final] ).
cnf(c_0_4007,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1765]),
[final] ).
cnf(c_0_4008,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_1765]),c_0_178]),
[final] ).
cnf(c_0_4009,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_1765]),c_0_178]),
[final] ).
cnf(c_0_4010,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1698]),
[final] ).
cnf(c_0_4011,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1698]),
[final] ).
cnf(c_0_4012,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1698]),
[final] ).
cnf(c_0_4013,negated_conjecture,
( product(e_1,e_1,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2988,c_0_1698]),c_0_71]),
[final] ).
cnf(c_0_4014,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2979]),
[final] ).
cnf(c_0_4015,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2979]),
[final] ).
cnf(c_0_4016,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2979]),
[final] ).
cnf(c_0_4017,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2021]),
[final] ).
cnf(c_0_4018,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2989,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4019,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2989,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4020,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2990,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4021,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2990,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4022,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2991,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4023,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2991,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4024,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2992,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4025,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2992,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4026,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2993,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4027,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2993,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4028,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2994,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4029,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2995]),
[final] ).
cnf(c_0_4030,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2996]),
[final] ).
cnf(c_0_4031,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2996]),
[final] ).
cnf(c_0_4032,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2996]),
[final] ).
cnf(c_0_4033,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2996]),
[final] ).
cnf(c_0_4034,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2097]),
[final] ).
cnf(c_0_4035,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2097]),
[final] ).
cnf(c_0_4036,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2097]),
[final] ).
cnf(c_0_4037,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2097]),
[final] ).
cnf(c_0_4038,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2097]),
[final] ).
cnf(c_0_4039,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2997]),
[final] ).
cnf(c_0_4040,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2997]),
[final] ).
cnf(c_0_4041,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2997]),
[final] ).
cnf(c_0_4042,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2997]),
[final] ).
cnf(c_0_4043,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2997]),
[final] ).
cnf(c_0_4044,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2607]),
[final] ).
cnf(c_0_4045,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2607]),
[final] ).
cnf(c_0_4046,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2607]),
[final] ).
cnf(c_0_4047,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2290]),
[final] ).
cnf(c_0_4048,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2290]),
[final] ).
cnf(c_0_4049,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2290]),
[final] ).
cnf(c_0_4050,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2290]),
[final] ).
cnf(c_0_4051,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2290]),
[final] ).
cnf(c_0_4052,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2287]),
[final] ).
cnf(c_0_4053,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2287]),
[final] ).
cnf(c_0_4054,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2287]),
[final] ).
cnf(c_0_4055,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2351]),
[final] ).
cnf(c_0_4056,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2287]),
[final] ).
cnf(c_0_4057,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2287]),
[final] ).
cnf(c_0_4058,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1980]),
[final] ).
cnf(c_0_4059,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1980]),
[final] ).
cnf(c_0_4060,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2067]),
[final] ).
cnf(c_0_4061,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2067]),
[final] ).
cnf(c_0_4062,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2067]),c_0_178]),
[final] ).
cnf(c_0_4063,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2067]),c_0_178]),
[final] ).
cnf(c_0_4064,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1939]),
[final] ).
cnf(c_0_4065,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1939]),
[final] ).
cnf(c_0_4066,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1939]),
[final] ).
cnf(c_0_4067,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2988,c_0_1939]),c_0_71]),
[final] ).
cnf(c_0_4068,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2998]),
[final] ).
cnf(c_0_4069,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2998]),
[final] ).
cnf(c_0_4070,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2998]),
[final] ).
cnf(c_0_4071,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2998]),
[final] ).
cnf(c_0_4072,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2960]),
[final] ).
cnf(c_0_4073,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2960]),
[final] ).
cnf(c_0_4074,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2960]),
[final] ).
cnf(c_0_4075,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2961]),
[final] ).
cnf(c_0_4076,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2961]),
[final] ).
cnf(c_0_4077,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2961]),
[final] ).
cnf(c_0_4078,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2999]),
[final] ).
cnf(c_0_4079,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2999]),
[final] ).
cnf(c_0_4080,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2999]),
[final] ).
cnf(c_0_4081,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2999]),
[final] ).
cnf(c_0_4082,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2344]),c_0_178]),
[final] ).
cnf(c_0_4083,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2344]),c_0_178]),
[final] ).
cnf(c_0_4084,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2981]),
[final] ).
cnf(c_0_4085,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2981]),
[final] ).
cnf(c_0_4086,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2981]),
[final] ).
cnf(c_0_4087,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2738]),
[final] ).
cnf(c_0_4088,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2738]),
[final] ).
cnf(c_0_4089,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3000]),
[final] ).
cnf(c_0_4090,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3000]),
[final] ).
cnf(c_0_4091,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3000]),
[final] ).
cnf(c_0_4092,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3000]),
[final] ).
cnf(c_0_4093,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2730]),
[final] ).
cnf(c_0_4094,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2730]),
[final] ).
cnf(c_0_4095,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2739]),
[final] ).
cnf(c_0_4096,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2739]),
[final] ).
cnf(c_0_4097,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2982]),
[final] ).
cnf(c_0_4098,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2982]),
[final] ).
cnf(c_0_4099,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2982]),
[final] ).
cnf(c_0_4100,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2587]),
[final] ).
cnf(c_0_4101,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2374]),
[final] ).
cnf(c_0_4102,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2374]),
[final] ).
cnf(c_0_4103,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2374]),
[final] ).
cnf(c_0_4104,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2755]),
[final] ).
cnf(c_0_4105,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2755]),
[final] ).
cnf(c_0_4106,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2755]),
[final] ).
cnf(c_0_4107,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2465]),
[final] ).
cnf(c_0_4108,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2465]),
[final] ).
cnf(c_0_4109,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2750]),
[final] ).
cnf(c_0_4110,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2750]),
[final] ).
cnf(c_0_4111,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2464]),
[final] ).
cnf(c_0_4112,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2464]),
[final] ).
cnf(c_0_4113,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2365]),
[final] ).
cnf(c_0_4114,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2365]),
[final] ).
cnf(c_0_4115,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2481]),
[final] ).
cnf(c_0_4116,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3001,c_0_2541]),
[final] ).
cnf(c_0_4117,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3001,c_0_2499]),
[final] ).
cnf(c_0_4118,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2764]),
[final] ).
cnf(c_0_4119,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2764]),
[final] ).
cnf(c_0_4120,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2764]),
[final] ).
cnf(c_0_4121,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2764]),
[final] ).
cnf(c_0_4122,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2764]),
[final] ).
cnf(c_0_4123,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2764]),
[final] ).
cnf(c_0_4124,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2764]),
[final] ).
cnf(c_0_4125,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2481]),
[final] ).
cnf(c_0_4126,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2481]),
[final] ).
cnf(c_0_4127,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2441]),
[final] ).
cnf(c_0_4128,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2441]),
[final] ).
cnf(c_0_4129,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2441]),
[final] ).
cnf(c_0_4130,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2302]),
[final] ).
cnf(c_0_4131,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2302]),
[final] ).
cnf(c_0_4132,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2303]),
[final] ).
cnf(c_0_4133,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2303]),
[final] ).
cnf(c_0_4134,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2303]),
[final] ).
cnf(c_0_4135,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2364]),
[final] ).
cnf(c_0_4136,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2364]),
[final] ).
cnf(c_0_4137,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2442]),
[final] ).
cnf(c_0_4138,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2442]),
[final] ).
cnf(c_0_4139,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2442]),
[final] ).
cnf(c_0_4140,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2466]),
[final] ).
cnf(c_0_4141,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2466]),
[final] ).
cnf(c_0_4142,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2350]),
[final] ).
cnf(c_0_4143,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2350]),
[final] ).
cnf(c_0_4144,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2350]),
[final] ).
cnf(c_0_4145,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1482]),
[final] ).
cnf(c_0_4146,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1482]),
[final] ).
cnf(c_0_4147,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2598]),
[final] ).
cnf(c_0_4148,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2598]),
[final] ).
cnf(c_0_4149,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2598]),
[final] ).
cnf(c_0_4150,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2021]),
[final] ).
cnf(c_0_4151,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2021]),
[final] ).
cnf(c_0_4152,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2995]),
[final] ).
cnf(c_0_4153,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2995]),
[final] ).
cnf(c_0_4154,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2995]),
[final] ).
cnf(c_0_4155,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2467]),
[final] ).
cnf(c_0_4156,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2467]),
[final] ).
cnf(c_0_4157,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2351]),
[final] ).
cnf(c_0_4158,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2351]),
[final] ).
cnf(c_0_4159,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2351]),
[final] ).
cnf(c_0_4160,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1699]),
[final] ).
cnf(c_0_4161,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1699]),
[final] ).
cnf(c_0_4162,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3002,c_0_2541]),
[final] ).
cnf(c_0_4163,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3002,c_0_2499]),
[final] ).
cnf(c_0_4164,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2585,c_0_2514]),
[final] ).
cnf(c_0_4165,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2585,c_0_2513]),
[final] ).
cnf(c_0_4166,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3003,c_0_2541]),
[final] ).
cnf(c_0_4167,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3003,c_0_2499]),
[final] ).
cnf(c_0_4168,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2766]),
[final] ).
cnf(c_0_4169,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2766]),
[final] ).
cnf(c_0_4170,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2766]),
[final] ).
cnf(c_0_4171,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2766]),
[final] ).
cnf(c_0_4172,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2766]),
[final] ).
cnf(c_0_4173,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2766]),
[final] ).
cnf(c_0_4174,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2766]),
[final] ).
cnf(c_0_4175,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3004]),
[final] ).
cnf(c_0_4176,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3005,c_0_2541]),
[final] ).
cnf(c_0_4177,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3005,c_0_2499]),
[final] ).
cnf(c_0_4178,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2768]),
[final] ).
cnf(c_0_4179,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2768]),
[final] ).
cnf(c_0_4180,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2768]),
[final] ).
cnf(c_0_4181,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2768]),
[final] ).
cnf(c_0_4182,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2034]),
[final] ).
cnf(c_0_4183,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3006,c_0_2514]),
[final] ).
cnf(c_0_4184,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3006,c_0_2513]),
[final] ).
cnf(c_0_4185,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2360]),
[final] ).
cnf(c_0_4186,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2360]),
[final] ).
cnf(c_0_4187,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3007,c_0_2616]),
[final] ).
cnf(c_0_4188,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3008,c_0_2434]),
[final] ).
cnf(c_0_4189,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2434]),
[final] ).
cnf(c_0_4190,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2779]),
[final] ).
cnf(c_0_4191,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3009,c_0_2541]),
[final] ).
cnf(c_0_4192,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3009,c_0_2499]),
[final] ).
cnf(c_0_4193,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3010,c_0_2514]),
[final] ).
cnf(c_0_4194,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3010,c_0_2513]),
[final] ).
cnf(c_0_4195,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2034]),
[final] ).
cnf(c_0_4196,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3011,c_0_2541]),
[final] ).
cnf(c_0_4197,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2034]),
[final] ).
cnf(c_0_4198,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3011,c_0_2499]),
[final] ).
cnf(c_0_4199,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3012]),
[final] ).
cnf(c_0_4200,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3013]),
[final] ).
cnf(c_0_4201,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2034]),
[final] ).
cnf(c_0_4202,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2771]),
[final] ).
cnf(c_0_4203,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2771]),
[final] ).
cnf(c_0_4204,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2771]),
[final] ).
cnf(c_0_4205,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2771]),
[final] ).
cnf(c_0_4206,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2485]),
[final] ).
cnf(c_0_4207,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2772]),
[final] ).
cnf(c_0_4208,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2773]),
[final] ).
cnf(c_0_4209,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2485]),
[final] ).
cnf(c_0_4210,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2772]),
[final] ).
cnf(c_0_4211,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2773]),
[final] ).
cnf(c_0_4212,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2485]),
[final] ).
cnf(c_0_4213,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2772]),
[final] ).
cnf(c_0_4214,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2773]),
[final] ).
cnf(c_0_4215,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2485]),
[final] ).
cnf(c_0_4216,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2772]),
[final] ).
cnf(c_0_4217,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2773]),
[final] ).
cnf(c_0_4218,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3014,c_0_2499]),
[final] ).
cnf(c_0_4219,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3015,c_0_2499]),
[final] ).
cnf(c_0_4220,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3014,c_0_2541]),
[final] ).
cnf(c_0_4221,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3015,c_0_2541]),
[final] ).
cnf(c_0_4222,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2765]),
[final] ).
cnf(c_0_4223,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2765]),
[final] ).
cnf(c_0_4224,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2612]),
[final] ).
cnf(c_0_4225,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2612]),
[final] ).
cnf(c_0_4226,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3016,c_0_621]),
[final] ).
cnf(c_0_4227,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2059]),
[final] ).
cnf(c_0_4228,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2059]),
[final] ).
cnf(c_0_4229,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3004]),
[final] ).
cnf(c_0_4230,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2768]),
[final] ).
cnf(c_0_4231,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_3017]),
[final] ).
cnf(c_0_4232,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2360]),
[final] ).
cnf(c_0_4233,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2434]),
[final] ).
cnf(c_0_4234,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2779]),
[final] ).
cnf(c_0_4235,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3012]),
[final] ).
cnf(c_0_4236,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3013]),
[final] ).
cnf(c_0_4237,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3004]),
[final] ).
cnf(c_0_4238,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3004]),
[final] ).
cnf(c_0_4239,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3004]),
[final] ).
cnf(c_0_4240,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2771]),
[final] ).
cnf(c_0_4241,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3018]),
[final] ).
cnf(c_0_4242,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2612]),
[final] ).
cnf(c_0_4243,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2775]),
[final] ).
cnf(c_0_4244,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3019]),
[final] ).
cnf(c_0_4245,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2456]),
[final] ).
cnf(c_0_4246,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2456]),
[final] ).
cnf(c_0_4247,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2456]),
[final] ).
cnf(c_0_4248,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2768]),
[final] ).
cnf(c_0_4249,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2768]),
[final] ).
cnf(c_0_4250,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2485]),
[final] ).
cnf(c_0_4251,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2477]),
[final] ).
cnf(c_0_4252,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2776]),
[final] ).
cnf(c_0_4253,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2375]),
[final] ).
cnf(c_0_4254,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2773]),
[final] ).
cnf(c_0_4255,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2059]),
[final] ).
cnf(c_0_4256,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3020]),
[final] ).
cnf(c_0_4257,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3017]),
[final] ).
cnf(c_0_4258,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3017]),
[final] ).
cnf(c_0_4259,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3017]),
[final] ).
cnf(c_0_4260,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2778]),
[final] ).
cnf(c_0_4261,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3021,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4262,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3022,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4263,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2772]),
[final] ).
cnf(c_0_4264,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3023,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4265,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3023,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4266,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3024,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4267,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3024,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4268,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2458]),
[final] ).
cnf(c_0_4269,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2458]),
[final] ).
cnf(c_0_4270,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2360]),
[final] ).
cnf(c_0_4271,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2360]),
[final] ).
cnf(c_0_4272,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3025,c_0_2660]),
[final] ).
cnf(c_0_4273,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2458]),c_0_178]),
[final] ).
cnf(c_0_4274,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2458]),c_0_178]),
[final] ).
cnf(c_0_4275,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3026]),
[final] ).
cnf(c_0_4276,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3027]),
[final] ).
cnf(c_0_4277,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3028]),
[final] ).
cnf(c_0_4278,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2780]),
[final] ).
cnf(c_0_4279,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3030,c_0_621]),
[final] ).
cnf(c_0_4280,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3026]),
[final] ).
cnf(c_0_4281,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3027]),
[final] ).
cnf(c_0_4282,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3028]),
[final] ).
cnf(c_0_4283,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3026]),
[final] ).
cnf(c_0_4284,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3026]),
[final] ).
cnf(c_0_4285,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3026]),
[final] ).
cnf(c_0_4286,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3027]),
[final] ).
cnf(c_0_4287,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3027]),
[final] ).
cnf(c_0_4288,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3027]),
[final] ).
cnf(c_0_4289,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3028]),
[final] ).
cnf(c_0_4290,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3028]),
[final] ).
cnf(c_0_4291,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3028]),
[final] ).
cnf(c_0_4292,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2780]),
[final] ).
cnf(c_0_4293,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2780]),
[final] ).
cnf(c_0_4294,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2780]),
[final] ).
cnf(c_0_4295,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2622]),
[final] ).
cnf(c_0_4296,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2622]),
[final] ).
cnf(c_0_4297,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2783,c_0_2784]),
[final] ).
cnf(c_0_4298,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3031,c_0_2616]),
[final] ).
cnf(c_0_4299,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2378]),
[final] ).
cnf(c_0_4300,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3033,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4301,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3034,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_4302,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2492]),
[final] ).
cnf(c_0_4303,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2622]),c_0_178]),
[final] ).
cnf(c_0_4304,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2492]),
[final] ).
cnf(c_0_4305,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2378]),
[final] ).
cnf(c_0_4306,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2378]),
[final] ).
cnf(c_0_4307,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2474]),
[final] ).
cnf(c_0_4308,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2474]),
[final] ).
cnf(c_0_4309,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2474]),
[final] ).
cnf(c_0_4310,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2474]),
[final] ).
cnf(c_0_4311,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2434]),
[final] ).
cnf(c_0_4312,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_2434]),c_0_71]),
[final] ).
cnf(c_0_4313,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2822,c_0_2434]),c_0_71]),
[final] ).
cnf(c_0_4314,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1697]),
[final] ).
cnf(c_0_4315,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1697]),
[final] ).
cnf(c_0_4316,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2493,c_0_1697]),c_0_71]),
[final] ).
cnf(c_0_4317,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2779]),
[final] ).
cnf(c_0_4318,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2779]),
[final] ).
cnf(c_0_4319,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3012]),
[final] ).
cnf(c_0_4320,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3012]),
[final] ).
cnf(c_0_4321,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3012]),
[final] ).
cnf(c_0_4322,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3013]),
[final] ).
cnf(c_0_4323,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3013]),
[final] ).
cnf(c_0_4324,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3013]),
[final] ).
cnf(c_0_4325,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2614]),
[final] ).
cnf(c_0_4326,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2614]),
[final] ).
cnf(c_0_4327,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2614]),
[final] ).
cnf(c_0_4328,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2771]),
[final] ).
cnf(c_0_4329,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2771]),
[final] ).
cnf(c_0_4330,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2765]),
[final] ).
cnf(c_0_4331,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2765]),
[final] ).
cnf(c_0_4332,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3018]),
[final] ).
cnf(c_0_4333,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3018]),
[final] ).
cnf(c_0_4334,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3018]),
[final] ).
cnf(c_0_4335,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2612]),
[final] ).
cnf(c_0_4336,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2775]),
[final] ).
cnf(c_0_4337,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2775]),
[final] ).
cnf(c_0_4338,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2775]),
[final] ).
cnf(c_0_4339,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3019]),
[final] ).
cnf(c_0_4340,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3019]),
[final] ).
cnf(c_0_4341,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3019]),
[final] ).
cnf(c_0_4342,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2367]),
[final] ).
cnf(c_0_4343,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2367]),
[final] ).
cnf(c_0_4344,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2367]),
[final] ).
cnf(c_0_4345,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2485]),
[final] ).
cnf(c_0_4346,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2485]),
[final] ).
cnf(c_0_4347,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_3035]),
[final] ).
cnf(c_0_4348,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_3035]),
[final] ).
cnf(c_0_4349,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3035]),
[final] ).
cnf(c_0_4350,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2361,c_0_2541]),
[final] ).
cnf(c_0_4351,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2361,c_0_2499]),
[final] ).
cnf(c_0_4352,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2362,c_0_2541]),
[final] ).
cnf(c_0_4353,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2362,c_0_2499]),
[final] ).
cnf(c_0_4354,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3036,c_0_2499]),
[final] ).
cnf(c_0_4355,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3037,c_0_2499]),
[final] ).
cnf(c_0_4356,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3038,c_0_2499]),
[final] ).
cnf(c_0_4357,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_2499]),
[final] ).
cnf(c_0_4358,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3036,c_0_2541]),
[final] ).
cnf(c_0_4359,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3037,c_0_2541]),
[final] ).
cnf(c_0_4360,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2292]),
[final] ).
cnf(c_0_4361,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2614]),c_0_178]),
[final] ).
cnf(c_0_4362,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2292]),
[final] ).
cnf(c_0_4363,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3039,c_0_2514]),
[final] ).
cnf(c_0_4364,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3039,c_0_2513]),
[final] ).
cnf(c_0_4365,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2293]),
[final] ).
cnf(c_0_4366,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2293]),
[final] ).
cnf(c_0_4367,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2191]),
[final] ).
cnf(c_0_4368,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2191]),
[final] ).
cnf(c_0_4369,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3040,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4370,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3040,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4371,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2292]),
[final] ).
cnf(c_0_4372,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2292]),
[final] ).
cnf(c_0_4373,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3041,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4374,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3041,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4375,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3042,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4376,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3042,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4377,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3043,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4378,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3043,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4379,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2293]),
[final] ).
cnf(c_0_4380,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2293]),
[final] ).
cnf(c_0_4381,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3038,c_0_2541]),
[final] ).
cnf(c_0_4382,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_2541]),
[final] ).
cnf(c_0_4383,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2075]),
[final] ).
cnf(c_0_4384,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2495]),
[final] ).
cnf(c_0_4385,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2789]),
[final] ).
cnf(c_0_4386,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2312]),
[final] ).
cnf(c_0_4387,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_1160]),
[final] ).
cnf(c_0_4388,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2788]),
[final] ).
cnf(c_0_4389,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2380]),
[final] ).
cnf(c_0_4390,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2787]),
[final] ).
cnf(c_0_4391,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2495]),
[final] ).
cnf(c_0_4392,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2789]),
[final] ).
cnf(c_0_4393,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2312]),
[final] ).
cnf(c_0_4394,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_1160]),
[final] ).
cnf(c_0_4395,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2788]),
[final] ).
cnf(c_0_4396,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2380]),
[final] ).
cnf(c_0_4397,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2787]),
[final] ).
cnf(c_0_4398,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2302]),c_0_178]),
[final] ).
cnf(c_0_4399,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2495]),
[final] ).
cnf(c_0_4400,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2789]),
[final] ).
cnf(c_0_4401,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2312]),
[final] ).
cnf(c_0_4402,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1160]),
[final] ).
cnf(c_0_4403,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2788]),
[final] ).
cnf(c_0_4404,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2380]),
[final] ).
cnf(c_0_4405,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2787]),
[final] ).
cnf(c_0_4406,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2495]),
[final] ).
cnf(c_0_4407,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2789]),
[final] ).
cnf(c_0_4408,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2312]),
[final] ).
cnf(c_0_4409,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_1160]),
[final] ).
cnf(c_0_4410,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2788]),
[final] ).
cnf(c_0_4411,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2380]),
[final] ).
cnf(c_0_4412,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2787]),
[final] ).
cnf(c_0_4413,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3044,c_0_2499]),
[final] ).
cnf(c_0_4414,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2388,c_0_2499]),
[final] ).
cnf(c_0_4415,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1184,c_0_2499]),
[final] ).
cnf(c_0_4416,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2364]),c_0_178]),
[final] ).
cnf(c_0_4417,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3045,c_0_2499]),
[final] ).
cnf(c_0_4418,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2494,c_0_2499]),
[final] ).
cnf(c_0_4419,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3046,c_0_2499]),
[final] ).
cnf(c_0_4420,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3047,c_0_2499]),
[final] ).
cnf(c_0_4421,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3044,c_0_2541]),
[final] ).
cnf(c_0_4422,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2388,c_0_2541]),
[final] ).
cnf(c_0_4423,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1184,c_0_2541]),
[final] ).
cnf(c_0_4424,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3045,c_0_2541]),
[final] ).
cnf(c_0_4425,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2494,c_0_2541]),
[final] ).
cnf(c_0_4426,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3046,c_0_2541]),
[final] ).
cnf(c_0_4427,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3047,c_0_2541]),
[final] ).
cnf(c_0_4428,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2564]),
[final] ).
cnf(c_0_4429,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2075]),
[final] ).
cnf(c_0_4430,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3048,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4431,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2564]),
[final] ).
cnf(c_0_4432,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2564]),
[final] ).
cnf(c_0_4433,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2075]),
[final] ).
cnf(c_0_4434,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2075]),
[final] ).
cnf(c_0_4435,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2793]),
[final] ).
cnf(c_0_4436,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2793]),
[final] ).
cnf(c_0_4437,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3049,c_0_2660]),
[final] ).
cnf(c_0_4438,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3050]),
[final] ).
cnf(c_0_4439,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3051]),
[final] ).
cnf(c_0_4440,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3052]),
[final] ).
cnf(c_0_4441,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2629]),
[final] ).
cnf(c_0_4442,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3053,c_0_621]),
[final] ).
cnf(c_0_4443,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3050]),
[final] ).
cnf(c_0_4444,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3051]),
[final] ).
cnf(c_0_4445,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3052]),
[final] ).
cnf(c_0_4446,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3050]),
[final] ).
cnf(c_0_4447,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3050]),
[final] ).
cnf(c_0_4448,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3050]),
[final] ).
cnf(c_0_4449,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3051]),
[final] ).
cnf(c_0_4450,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3051]),
[final] ).
cnf(c_0_4451,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3051]),
[final] ).
cnf(c_0_4452,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3052]),
[final] ).
cnf(c_0_4453,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3052]),
[final] ).
cnf(c_0_4454,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3052]),
[final] ).
cnf(c_0_4455,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2628]),
[final] ).
cnf(c_0_4456,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2628]),
[final] ).
cnf(c_0_4457,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2628]),
[final] ).
cnf(c_0_4458,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2629]),
[final] ).
cnf(c_0_4459,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2629]),
[final] ).
cnf(c_0_4460,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2792,c_0_2784]),
[final] ).
cnf(c_0_4461,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3054,c_0_2616]),
[final] ).
cnf(c_0_4462,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2384]),
[final] ).
cnf(c_0_4463,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3055,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4464,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3056,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_4465,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2498]),
[final] ).
cnf(c_0_4466,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2498]),
[final] ).
cnf(c_0_4467,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2628]),c_0_178]),
[final] ).
cnf(c_0_4468,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2384]),
[final] ).
cnf(c_0_4469,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2384]),
[final] ).
cnf(c_0_4470,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3057,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4471,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2793]),
[final] ).
cnf(c_0_4472,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2793]),
[final] ).
cnf(c_0_4473,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_1945]),
[final] ).
cnf(c_0_4474,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3059,c_0_3060]),c_0_55]),
[final] ).
cnf(c_0_4475,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3059,c_0_3061]),c_0_55]),
[final] ).
cnf(c_0_4476,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1945]),
[final] ).
cnf(c_0_4477,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1945]),
[final] ).
cnf(c_0_4478,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1945]),
[final] ).
cnf(c_0_4479,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2383,c_0_2785]),
[final] ).
cnf(c_0_4480,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1773]),
[final] ).
cnf(c_0_4481,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3059,c_0_3062]),c_0_55]),
[final] ).
cnf(c_0_4482,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1773]),
[final] ).
cnf(c_0_4483,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1773]),
[final] ).
cnf(c_0_4484,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3063,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4485,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3064,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4486,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3065,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4487,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3066,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4488,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3067,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4489,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3068,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4490,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3069,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4491,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3063,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4492,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3064,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4493,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3065,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4494,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3067,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4495,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3068,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4496,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3069,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4497,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_3070,c_0_581]),
[final] ).
cnf(c_0_4498,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2376,c_0_2499]),
[final] ).
cnf(c_0_4499,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3071,c_0_2499]),
[final] ).
cnf(c_0_4500,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3072,c_0_2499]),
[final] ).
cnf(c_0_4501,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1187,c_0_2499]),
[final] ).
cnf(c_0_4502,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2377,c_0_2499]),
[final] ).
cnf(c_0_4503,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3073,c_0_2499]),
[final] ).
cnf(c_0_4504,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_2499]),
[final] ).
cnf(c_0_4505,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2376,c_0_2541]),
[final] ).
cnf(c_0_4506,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3071,c_0_2541]),
[final] ).
cnf(c_0_4507,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3072,c_0_2541]),
[final] ).
cnf(c_0_4508,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1187,c_0_2541]),
[final] ).
cnf(c_0_4509,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2377,c_0_2541]),
[final] ).
cnf(c_0_4510,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3073,c_0_2541]),
[final] ).
cnf(c_0_4511,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_2541]),
[final] ).
cnf(c_0_4512,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_3074,c_0_581]),
[final] ).
cnf(c_0_4513,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_4,X2,X1) ),
inference(spm,[status(thm)],[c_0_3075,c_0_581]),
[final] ).
cnf(c_0_4514,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(e_1,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_2118]),
[final] ).
cnf(c_0_4515,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_1036]),
[final] ).
cnf(c_0_4516,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(e_1,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_1458]),
[final] ).
cnf(c_0_4517,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_121]),
[final] ).
cnf(c_0_4518,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2867,c_0_1156]),
[final] ).
cnf(c_0_4519,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2868,c_0_1156]),
[final] ).
cnf(c_0_4520,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2118]),
[final] ).
cnf(c_0_4521,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1036]),
[final] ).
cnf(c_0_4522,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1458]),
[final] ).
cnf(c_0_4523,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_121]),
[final] ).
cnf(c_0_4524,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1156]),
[final] ).
cnf(c_0_4525,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_1156]),
[final] ).
cnf(c_0_4526,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2461,c_0_2499]),
[final] ).
cnf(c_0_4527,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1768,c_0_2499]),
[final] ).
cnf(c_0_4528,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1544,c_0_2499]),
[final] ).
cnf(c_0_4529,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1169,c_0_2499]),
[final] ).
cnf(c_0_4530,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_2499]),
[final] ).
cnf(c_0_4531,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1169,c_0_2541]),
[final] ).
cnf(c_0_4532,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3076,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4533,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4534,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3077,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4535,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3076,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4536,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4537,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3077,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4538,negated_conjecture,
( product(e_1,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_3078,c_0_581]),
[final] ).
cnf(c_0_4539,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1988]),
[final] ).
cnf(c_0_4540,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1988]),
[final] ).
cnf(c_0_4541,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_3079,c_0_581]),
[final] ).
cnf(c_0_4542,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1901]),
[final] ).
cnf(c_0_4543,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1819]),
[final] ).
cnf(c_0_4544,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_448]),
[final] ).
cnf(c_0_4545,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_2083]),
[final] ).
cnf(c_0_4546,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_1901]),
[final] ).
cnf(c_0_4547,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_1819]),
[final] ).
cnf(c_0_4548,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_448]),
[final] ).
cnf(c_0_4549,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2686,c_0_2083]),
[final] ).
cnf(c_0_4550,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_3080,c_0_581]),
[final] ).
cnf(c_0_4551,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1117,c_0_2385]),
[final] ).
cnf(c_0_4552,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3081,c_0_2499]),
[final] ).
cnf(c_0_4553,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1117,c_0_2425]),
[final] ).
cnf(c_0_4554,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3082,c_0_2499]),
[final] ).
cnf(c_0_4555,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3083,c_0_2499]),
[final] ).
cnf(c_0_4556,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3084,c_0_2499]),
[final] ).
cnf(c_0_4557,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3081,c_0_2541]),
[final] ).
cnf(c_0_4558,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3082,c_0_2541]),
[final] ).
cnf(c_0_4559,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3083,c_0_2541]),
[final] ).
cnf(c_0_4560,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3084,c_0_2541]),
[final] ).
cnf(c_0_4561,negated_conjecture,
( equalish(e_4,X1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2385]),
[final] ).
cnf(c_0_4562,negated_conjecture,
( equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(e_2,e_4)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2425]),
[final] ).
cnf(c_0_4563,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X1,X2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2541]),
[final] ).
cnf(c_0_4564,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3085,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4565,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3086,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4566,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3087,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4567,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3088,c_0_2499]),c_0_84]),
[final] ).
cnf(c_0_4568,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,X2,e_1)
| ~ product(X1,X2,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2541]),
[final] ).
cnf(c_0_4569,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ product(e_4,X2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2541]),
[final] ).
cnf(c_0_4570,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3085,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4571,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3086,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4572,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3087,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4573,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3088,c_0_2541]),c_0_84]),
[final] ).
cnf(c_0_4574,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3089,c_0_3090]),c_0_82]),
[final] ).
cnf(c_0_4575,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1581,c_0_2247]),
[final] ).
cnf(c_0_4576,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1515]),
[final] ).
cnf(c_0_4577,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1515]),
[final] ).
cnf(c_0_4578,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2385]),
[final] ).
cnf(c_0_4579,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2385]),
[final] ).
cnf(c_0_4580,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2425]),
[final] ).
cnf(c_0_4581,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2425]),
[final] ).
cnf(c_0_4582,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2425]),
[final] ).
cnf(c_0_4583,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3091,c_0_2385]),
[final] ).
cnf(c_0_4584,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2822,c_0_2499]),c_0_178]),
[final] ).
cnf(c_0_4585,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2541]),c_0_621])]),
[final] ).
cnf(c_0_4586,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_2541]),c_0_178]),
[final] ).
cnf(c_0_4587,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3091,c_0_2425]),
[final] ).
cnf(c_0_4588,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_3092]),
[final] ).
cnf(c_0_4589,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_3092]),
[final] ).
cnf(c_0_4590,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3092]),
[final] ).
cnf(c_0_4591,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2295]),
[final] ).
cnf(c_0_4592,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2295]),
[final] ).
cnf(c_0_4593,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2295]),
[final] ).
cnf(c_0_4594,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2477]),
[final] ).
cnf(c_0_4595,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2477]),
[final] ).
cnf(c_0_4596,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2776]),
[final] ).
cnf(c_0_4597,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2776]),
[final] ).
cnf(c_0_4598,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2776]),
[final] ).
cnf(c_0_4599,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2375]),
[final] ).
cnf(c_0_4600,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2375]),
[final] ).
cnf(c_0_4601,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2375]),
[final] ).
cnf(c_0_4602,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3093,c_0_2514]),
[final] ).
cnf(c_0_4603,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3093,c_0_2513]),
[final] ).
cnf(c_0_4604,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2786]),
[final] ).
cnf(c_0_4605,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2786]),
[final] ).
cnf(c_0_4606,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2625]),
[final] ).
cnf(c_0_4607,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2625]),
[final] ).
cnf(c_0_4608,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3094,c_0_581]),
[final] ).
cnf(c_0_4609,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2789]),
[final] ).
cnf(c_0_4610,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2625]),
[final] ).
cnf(c_0_4611,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2788]),
[final] ).
cnf(c_0_4612,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2380]),
[final] ).
cnf(c_0_4613,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2381]),
[final] ).
cnf(c_0_4614,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2789]),
[final] ).
cnf(c_0_4615,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2789]),
[final] ).
cnf(c_0_4616,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3095,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4617,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3095,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4618,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2786]),
[final] ).
cnf(c_0_4619,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2786]),
[final] ).
cnf(c_0_4620,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2788]),
[final] ).
cnf(c_0_4621,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2788]),
[final] ).
cnf(c_0_4622,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2495]),
[final] ).
cnf(c_0_4623,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2477]),c_0_178]),
[final] ).
cnf(c_0_4624,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2477]),c_0_178]),
[final] ).
cnf(c_0_4625,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2495]),
[final] ).
cnf(c_0_4626,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2380]),
[final] ).
cnf(c_0_4627,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2380]),
[final] ).
cnf(c_0_4628,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2381]),
[final] ).
cnf(c_0_4629,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2381]),
[final] ).
cnf(c_0_4630,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2381]),
[final] ).
cnf(c_0_4631,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2296]),
[final] ).
cnf(c_0_4632,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2296]),
[final] ).
cnf(c_0_4633,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1733]),
[final] ).
cnf(c_0_4634,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1733]),
[final] ).
cnf(c_0_4635,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3096,c_0_2514]),
[final] ).
cnf(c_0_4636,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3096,c_0_2513]),
[final] ).
cnf(c_0_4637,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2624,c_0_2514]),
[final] ).
cnf(c_0_4638,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2624,c_0_2513]),
[final] ).
cnf(c_0_4639,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2797]),
[final] ).
cnf(c_0_4640,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2797]),
[final] ).
cnf(c_0_4641,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3097,c_0_621]),
[final] ).
cnf(c_0_4642,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3098,c_0_621]),
[final] ).
cnf(c_0_4643,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2297]),
[final] ).
cnf(c_0_4644,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2297]),
[final] ).
cnf(c_0_4645,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2297]),
[final] ).
cnf(c_0_4646,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2797]),
[final] ).
cnf(c_0_4647,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2797]),
[final] ).
cnf(c_0_4648,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2797]),
[final] ).
cnf(c_0_4649,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2390]),
[final] ).
cnf(c_0_4650,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2390]),
[final] ).
cnf(c_0_4651,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2248]),
[final] ).
cnf(c_0_4652,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2248]),
[final] ).
cnf(c_0_4653,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2297]),
[final] ).
cnf(c_0_4654,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2297]),
[final] ).
cnf(c_0_4655,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2297]),
[final] ).
cnf(c_0_4656,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2254]),
[final] ).
cnf(c_0_4657,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2254]),
[final] ).
cnf(c_0_4658,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2254]),
[final] ).
cnf(c_0_4659,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2381]),c_0_178]),
[final] ).
cnf(c_0_4660,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2381]),c_0_178]),
[final] ).
cnf(c_0_4661,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2155]),
[final] ).
cnf(c_0_4662,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2155]),
[final] ).
cnf(c_0_4663,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2155]),
[final] ).
cnf(c_0_4664,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3099,c_0_2414]),
[final] ).
cnf(c_0_4665,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3099,c_0_2520]),
[final] ).
cnf(c_0_4666,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_1438]),
[final] ).
cnf(c_0_4667,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_1438]),
[final] ).
cnf(c_0_4668,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1438]),
[final] ).
cnf(c_0_4669,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1438]),
[final] ).
cnf(c_0_4670,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1346]),
[final] ).
cnf(c_0_4671,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1346]),
[final] ).
cnf(c_0_4672,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2149]),
[final] ).
cnf(c_0_4673,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2149]),
[final] ).
cnf(c_0_4674,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2149]),
[final] ).
cnf(c_0_4675,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2070]),
[final] ).
cnf(c_0_4676,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2070]),
[final] ).
cnf(c_0_4677,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2070]),
[final] ).
cnf(c_0_4678,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1199]),
[final] ).
cnf(c_0_4679,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1199]),
[final] ).
cnf(c_0_4680,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1199]),
[final] ).
cnf(c_0_4681,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2310,c_0_1199]),c_0_71]),
[final] ).
cnf(c_0_4682,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_1199]),c_0_71]),
[final] ).
cnf(c_0_4683,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3100,c_0_2414]),c_0_82]),
[final] ).
cnf(c_0_4684,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3100,c_0_2520]),c_0_82]),
[final] ).
cnf(c_0_4685,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2276,c_0_2514]),
[final] ).
cnf(c_0_4686,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2276,c_0_2513]),
[final] ).
cnf(c_0_4687,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2784]),
[final] ).
cnf(c_0_4688,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_2784]),
[final] ).
cnf(c_0_4689,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3101,c_0_2514]),
[final] ).
cnf(c_0_4690,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3101,c_0_2513]),
[final] ).
cnf(c_0_4691,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2249]),
[final] ).
cnf(c_0_4692,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2249]),
[final] ).
cnf(c_0_4693,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2372]),
[final] ).
cnf(c_0_4694,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2249]),
[final] ).
cnf(c_0_4695,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2307,c_0_2414]),c_0_82]),
[final] ).
cnf(c_0_4696,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2307,c_0_2520]),c_0_82]),
[final] ).
cnf(c_0_4697,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2228]),
[final] ).
cnf(c_0_4698,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2228]),
[final] ).
cnf(c_0_4699,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4700,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2482]),
[final] ).
cnf(c_0_4701,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2228]),
[final] ).
cnf(c_0_4702,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2482]),
[final] ).
cnf(c_0_4703,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2249]),
[final] ).
cnf(c_0_4704,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2482]),c_0_178]),
[final] ).
cnf(c_0_4705,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2482]),c_0_178]),
[final] ).
cnf(c_0_4706,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2732,c_0_2784]),
[final] ).
cnf(c_0_4707,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2118]),
[final] ).
cnf(c_0_4708,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_1036]),
[final] ).
cnf(c_0_4709,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_1458]),
[final] ).
cnf(c_0_4710,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_121]),
[final] ).
cnf(c_0_4711,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3102,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4712,negated_conjecture,
( equalish(e_2,X1)
| ~ product(e_2,e_1,e_3)
| ~ cycle(e_4,X2)
| ~ greater(e_3,e_4)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2784]),
[final] ).
cnf(c_0_4713,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2836]),
[final] ).
cnf(c_0_4714,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_1969]),
[final] ).
cnf(c_0_4715,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_1,X1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2405]),
[final] ).
cnf(c_0_4716,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_2815]),
[final] ).
cnf(c_0_4717,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1282]),
[final] ).
cnf(c_0_4718,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1282]),
[final] ).
cnf(c_0_4719,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3103,c_0_2784]),
[final] ).
cnf(c_0_4720,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_2623]),c_0_62]),
[final] ).
cnf(c_0_4721,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_2623]),c_0_100]),
[final] ).
cnf(c_0_4722,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3104,c_0_2784]),
[final] ).
cnf(c_0_4723,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3105,c_0_2784]),
[final] ).
cnf(c_0_4724,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,X2,e_3)
| ~ product(e_4,X1,X2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2784]),
[final] ).
cnf(c_0_4725,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3106,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4726,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3107,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4727,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3108,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4728,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2784]),c_0_116]),
[final] ).
cnf(c_0_4729,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3109,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4730,negated_conjecture,
( product(e_3,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3110,c_0_2784]),
[final] ).
cnf(c_0_4731,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3111,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4732,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3112,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4733,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,X2,e_3)
| ~ product(X1,X2,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2784]),
[final] ).
cnf(c_0_4734,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2784]),
[final] ).
cnf(c_0_4735,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_3113]),c_0_84]),
[final] ).
cnf(c_0_4736,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2310,c_0_3114]),c_0_84]),
[final] ).
cnf(c_0_4737,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1268]),
[final] ).
cnf(c_0_4738,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1268]),
[final] ).
cnf(c_0_4739,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_1282]),c_0_71]),
[final] ).
cnf(c_0_4740,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2822,c_0_1282]),c_0_71]),
[final] ).
cnf(c_0_4741,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_2,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3115,c_0_2784]),c_0_62]),
[final] ).
cnf(c_0_4742,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_3,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2623]),
[final] ).
cnf(c_0_4743,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_2,e_4,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3116,c_0_2784]),c_0_93]),
[final] ).
cnf(c_0_4744,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2623]),
[final] ).
cnf(c_0_4745,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1516,c_0_2623]),c_0_62]),
[final] ).
cnf(c_0_4746,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2784]),c_0_178]),
[final] ).
cnf(c_0_4747,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2466]),c_0_178]),
[final] ).
cnf(c_0_4748,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_1482]),c_0_178]),
[final] ).
cnf(c_0_4749,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2773]),
[final] ).
cnf(c_0_4750,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2773]),
[final] ).
cnf(c_0_4751,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2478,c_0_2660]),
[final] ).
cnf(c_0_4752,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3117,c_0_621]),
[final] ).
cnf(c_0_4753,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2372]),
[final] ).
cnf(c_0_4754,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2372]),
[final] ).
cnf(c_0_4755,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3118,c_0_2616]),
[final] ).
cnf(c_0_4756,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_1700]),
[final] ).
cnf(c_0_4757,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3119,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_4758,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2301]),
[final] ).
cnf(c_0_4759,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1700]),
[final] ).
cnf(c_0_4760,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2301]),c_0_178]),
[final] ).
cnf(c_0_4761,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2514]),
[final] ).
cnf(c_0_4762,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2244,c_0_2660]),
[final] ).
cnf(c_0_4763,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3120,c_0_621]),
[final] ).
cnf(c_0_4764,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2078]),
[final] ).
cnf(c_0_4765,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2078]),
[final] ).
cnf(c_0_4766,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2118]),
[final] ).
cnf(c_0_4767,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2078]),
[final] ).
cnf(c_0_4768,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2078]),
[final] ).
cnf(c_0_4769,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2118]),c_0_621])]),
[final] ).
cnf(c_0_4770,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2039]),
[final] ).
cnf(c_0_4771,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2039]),
[final] ).
cnf(c_0_4772,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2579]),
[final] ).
cnf(c_0_4773,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2579]),
[final] ).
cnf(c_0_4774,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2579]),
[final] ).
cnf(c_0_4775,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2059]),
[final] ).
cnf(c_0_4776,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2059]),
[final] ).
cnf(c_0_4777,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3121,c_0_581]),
[final] ).
cnf(c_0_4778,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3122,c_0_2514]),
[final] ).
cnf(c_0_4779,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3122,c_0_2513]),
[final] ).
cnf(c_0_4780,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3123,c_0_2414]),
[final] ).
cnf(c_0_4781,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3123,c_0_2520]),
[final] ).
cnf(c_0_4782,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2804]),
[final] ).
cnf(c_0_4783,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2804]),
[final] ).
cnf(c_0_4784,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3124,c_0_621]),
[final] ).
cnf(c_0_4785,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_3125]),
[final] ).
cnf(c_0_4786,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_3125]),
[final] ).
cnf(c_0_4787,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3125]),
[final] ).
cnf(c_0_4788,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2804]),
[final] ).
cnf(c_0_4789,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2804]),
[final] ).
cnf(c_0_4790,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2506]),
[final] ).
cnf(c_0_4791,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2506]),
[final] ).
cnf(c_0_4792,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2506]),
[final] ).
cnf(c_0_4793,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2396]),
[final] ).
cnf(c_0_4794,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2396]),
[final] ).
cnf(c_0_4795,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2396]),
[final] ).
cnf(c_0_4796,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3125]),
[final] ).
cnf(c_0_4797,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3125]),
[final] ).
cnf(c_0_4798,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3125]),
[final] ).
cnf(c_0_4799,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2257]),
[final] ).
cnf(c_0_4800,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2257]),
[final] ).
cnf(c_0_4801,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_3126]),
[final] ).
cnf(c_0_4802,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_3126]),
[final] ).
cnf(c_0_4803,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3126]),
[final] ).
cnf(c_0_4804,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1998]),
[final] ).
cnf(c_0_4805,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1998]),
[final] ).
cnf(c_0_4806,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2821,c_0_1779]),
[final] ).
cnf(c_0_4807,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3127,c_0_1779]),
[final] ).
cnf(c_0_4808,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1819]),
[final] ).
cnf(c_0_4809,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1779]),
[final] ).
cnf(c_0_4810,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1819]),
[final] ).
cnf(c_0_4811,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1819]),
[final] ).
cnf(c_0_4812,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1779]),
[final] ).
cnf(c_0_4813,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1779]),
[final] ).
cnf(c_0_4814,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1779]),
[final] ).
cnf(c_0_4815,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3128]),
[final] ).
cnf(c_0_4816,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3128]),
[final] ).
cnf(c_0_4817,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2455]),
[final] ).
cnf(c_0_4818,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2455]),
[final] ).
cnf(c_0_4819,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2455]),
[final] ).
cnf(c_0_4820,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2152,c_0_2785]),
[final] ).
cnf(c_0_4821,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_598,c_0_2785]),
[final] ).
cnf(c_0_4822,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2054]),
[final] ).
cnf(c_0_4823,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2643]),
[final] ).
cnf(c_0_4824,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2530]),
[final] ).
cnf(c_0_4825,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2644]),
[final] ).
cnf(c_0_4826,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1521,c_0_2522]),
[final] ).
cnf(c_0_4827,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1521,c_0_2523]),
[final] ).
cnf(c_0_4828,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2325,c_0_2785]),
[final] ).
cnf(c_0_4829,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1822,c_0_2785]),
[final] ).
cnf(c_0_4830,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2529,c_0_2785]),
[final] ).
cnf(c_0_4831,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_3,X1,X2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2785]),
[final] ).
cnf(c_0_4832,negated_conjecture,
( product(e_4,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1828,c_0_2785]),
[final] ).
cnf(c_0_4833,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(e_4,X1)
| ~ greater(e_2,e_4)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3129,c_0_3130]),c_0_952])]),
[final] ).
cnf(c_0_4834,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2785]),
[final] ).
cnf(c_0_4835,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2785]),
[final] ).
cnf(c_0_4836,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2669,c_0_3131]),c_0_93]),
[final] ).
cnf(c_0_4837,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2326,c_0_3132]),c_0_116]),
[final] ).
cnf(c_0_4838,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2327,c_0_3133]),c_0_116]),
[final] ).
cnf(c_0_4839,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2326,c_0_3134]),c_0_116]),
[final] ).
cnf(c_0_4840,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2327,c_0_3135]),c_0_116]),
[final] ).
cnf(c_0_4841,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1306]),
[final] ).
cnf(c_0_4842,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1306]),
[final] ).
cnf(c_0_4843,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2785]),c_0_71]),
[final] ).
cnf(c_0_4844,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2379]),
[final] ).
cnf(c_0_4845,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_4,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2379]),
[final] ).
cnf(c_0_4846,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3136]),
[final] ).
cnf(c_0_4847,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3136]),
[final] ).
cnf(c_0_4848,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3136]),
[final] ).
cnf(c_0_4849,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3136]),
[final] ).
cnf(c_0_4850,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_619]),
[final] ).
cnf(c_0_4851,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_619]),
[final] ).
cnf(c_0_4852,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2467]),c_0_178]),
[final] ).
cnf(c_0_4853,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_1699]),c_0_178]),
[final] ).
cnf(c_0_4854,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3137]),
[final] ).
cnf(c_0_4855,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3137]),
[final] ).
cnf(c_0_4856,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3137]),
[final] ).
cnf(c_0_4857,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3137]),
[final] ).
cnf(c_0_4858,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3020]),
[final] ).
cnf(c_0_4859,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3020]),
[final] ).
cnf(c_0_4860,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3020]),
[final] ).
cnf(c_0_4861,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1798]),
[final] ).
cnf(c_0_4862,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1798]),
[final] ).
cnf(c_0_4863,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2490]),
[final] ).
cnf(c_0_4864,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2490]),
[final] ).
cnf(c_0_4865,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2490]),
[final] ).
cnf(c_0_4866,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2778]),
[final] ).
cnf(c_0_4867,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2778]),
[final] ).
cnf(c_0_4868,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2778]),
[final] ).
cnf(c_0_4869,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_1414]),
[final] ).
cnf(c_0_4870,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_1414]),
[final] ).
cnf(c_0_4871,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3138,c_0_2514]),
[final] ).
cnf(c_0_4872,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3138,c_0_2513]),
[final] ).
cnf(c_0_4873,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_1376]),
[final] ).
cnf(c_0_4874,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_1376]),
[final] ).
cnf(c_0_4875,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2796]),
[final] ).
cnf(c_0_4876,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2796]),
[final] ).
cnf(c_0_4877,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2796]),
[final] ).
cnf(c_0_4878,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2796]),
[final] ).
cnf(c_0_4879,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2312]),
[final] ).
cnf(c_0_4880,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2312]),
[final] ).
cnf(c_0_4881,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2312]),
[final] ).
cnf(c_0_4882,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1414]),
[final] ).
cnf(c_0_4883,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1414]),
[final] ).
cnf(c_0_4884,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3139,c_0_2514]),
[final] ).
cnf(c_0_4885,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3139,c_0_2513]),
[final] ).
cnf(c_0_4886,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1847,c_0_2514]),
[final] ).
cnf(c_0_4887,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1847,c_0_2660]),
[final] ).
cnf(c_0_4888,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3140,c_0_621]),
[final] ).
cnf(c_0_4889,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3141,c_0_621]),
[final] ).
cnf(c_0_4890,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2253]),
[final] ).
cnf(c_0_4891,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2253]),
[final] ).
cnf(c_0_4892,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1458]),
[final] ).
cnf(c_0_4893,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1458]),c_0_621])]),
[final] ).
cnf(c_0_4894,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3142,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4895,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3142,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4896,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_1204]),
[final] ).
cnf(c_0_4897,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_1204]),
[final] ).
cnf(c_0_4898,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1204]),
[final] ).
cnf(c_0_4899,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1156]),
[final] ).
cnf(c_0_4900,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3143,c_0_2514]),
[final] ).
cnf(c_0_4901,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_831]),
[final] ).
cnf(c_0_4902,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_831]),
[final] ).
cnf(c_0_4903,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2605]),
[final] ).
cnf(c_0_4904,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_831]),
[final] ).
cnf(c_0_4905,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3144,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4906,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_1798]),c_0_178]),
[final] ).
cnf(c_0_4907,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_1798]),c_0_178]),
[final] ).
cnf(c_0_4908,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2605]),
[final] ).
cnf(c_0_4909,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2605]),
[final] ).
cnf(c_0_4910,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1762]),
[final] ).
cnf(c_0_4911,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1762]),
[final] ).
cnf(c_0_4912,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1762]),
[final] ).
cnf(c_0_4913,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2988,c_0_1762]),c_0_71]),
[final] ).
cnf(c_0_4914,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_1399]),
[final] ).
cnf(c_0_4915,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1399]),
[final] ).
cnf(c_0_4916,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1399]),
[final] ).
cnf(c_0_4917,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1364]),
[final] ).
cnf(c_0_4918,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1364]),
[final] ).
cnf(c_0_4919,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1079]),
[final] ).
cnf(c_0_4920,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2310,c_0_1079]),c_0_71]),
[final] ).
cnf(c_0_4921,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_1079]),c_0_71]),
[final] ).
cnf(c_0_4922,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2795]),
[final] ).
cnf(c_0_4923,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2795]),
[final] ).
cnf(c_0_4924,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2795]),
[final] ).
cnf(c_0_4925,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2795]),
[final] ).
cnf(c_0_4926,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2787]),
[final] ).
cnf(c_0_4927,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2787]),
[final] ).
cnf(c_0_4928,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2787]),
[final] ).
cnf(c_0_4929,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3145,c_0_2514]),
[final] ).
cnf(c_0_4930,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3145,c_0_2513]),
[final] ).
cnf(c_0_4931,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1804,c_0_2514]),
[final] ).
cnf(c_0_4932,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1804,c_0_2660]),
[final] ).
cnf(c_0_4933,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3146,c_0_621]),
[final] ).
cnf(c_0_4934,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3147,c_0_621]),
[final] ).
cnf(c_0_4935,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2311]),
[final] ).
cnf(c_0_4936,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2311]),
[final] ).
cnf(c_0_4937,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1036]),
[final] ).
cnf(c_0_4938,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1036]),c_0_621])]),
[final] ).
cnf(c_0_4939,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2025]),
[final] ).
cnf(c_0_4940,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3148,c_0_2414]),c_0_82]),
[final] ).
cnf(c_0_4941,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3149,c_0_2514]),
[final] ).
cnf(c_0_4942,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2025]),
[final] ).
cnf(c_0_4943,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3148,c_0_2520]),c_0_82]),
[final] ).
cnf(c_0_4944,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3149,c_0_2513]),
[final] ).
cnf(c_0_4945,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3150]),
[final] ).
cnf(c_0_4946,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3150]),
[final] ).
cnf(c_0_4947,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3150]),
[final] ).
cnf(c_0_4948,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3150]),
[final] ).
cnf(c_0_4949,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2772]),
[final] ).
cnf(c_0_4950,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2772]),
[final] ).
cnf(c_0_4951,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_946]),
[final] ).
cnf(c_0_4952,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_946]),
[final] ).
cnf(c_0_4953,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_875]),
[final] ).
cnf(c_0_4954,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_875]),
[final] ).
cnf(c_0_4955,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_875]),
[final] ).
cnf(c_0_4956,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_875]),
[final] ).
cnf(c_0_4957,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_875]),
[final] ).
cnf(c_0_4958,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2449]),
[final] ).
cnf(c_0_4959,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2449]),
[final] ).
cnf(c_0_4960,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_2449]),
[final] ).
cnf(c_0_4961,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2449]),
[final] ).
cnf(c_0_4962,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_1160]),
[final] ).
cnf(c_0_4963,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1160]),
[final] ).
cnf(c_0_4964,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2514]),
[final] ).
cnf(c_0_4965,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_2513]),
[final] ).
cnf(c_0_4966,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3151,c_0_621]),
[final] ).
cnf(c_0_4967,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_779]),c_0_621])]),
[final] ).
cnf(c_0_4968,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_857]),
[final] ).
cnf(c_0_4969,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_857]),
[final] ).
cnf(c_0_4970,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_857]),
[final] ).
cnf(c_0_4971,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_857]),
[final] ).
cnf(c_0_4972,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2476]),
[final] ).
cnf(c_0_4973,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2476]),
[final] ).
cnf(c_0_4974,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2228]),
[final] ).
cnf(c_0_4975,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2920,c_0_2476]),c_0_178]),
[final] ).
cnf(c_0_4976,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2921,c_0_2476]),c_0_178]),
[final] ).
cnf(c_0_4977,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3008,c_0_587]),
[final] ).
cnf(c_0_4978,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_587]),
[final] ).
cnf(c_0_4979,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1411,c_0_2616]),
[final] ).
cnf(c_0_4980,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_2522]),c_0_100]),
[final] ).
cnf(c_0_4981,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_2523]),c_0_100]),
[final] ).
cnf(c_0_4982,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3152,c_0_581]),
[final] ).
cnf(c_0_4983,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_3153]),
[final] ).
cnf(c_0_4984,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_3153]),
[final] ).
cnf(c_0_4985,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3153]),
[final] ).
cnf(c_0_4986,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3154,c_0_2514]),
[final] ).
cnf(c_0_4987,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3154,c_0_2513]),
[final] ).
cnf(c_0_4988,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2805]),
[final] ).
cnf(c_0_4989,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2805]),
[final] ).
cnf(c_0_4990,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3155,c_0_621]),
[final] ).
cnf(c_0_4991,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2805]),
[final] ).
cnf(c_0_4992,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2805]),
[final] ).
cnf(c_0_4993,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2508]),
[final] ).
cnf(c_0_4994,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2508]),
[final] ).
cnf(c_0_4995,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2508]),
[final] ).
cnf(c_0_4996,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2319]),
[final] ).
cnf(c_0_4997,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2319]),
[final] ).
cnf(c_0_4998,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2319]),
[final] ).
cnf(c_0_4999,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_723,c_0_2247]),
[final] ).
cnf(c_0_5000,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_1721]),
[final] ).
cnf(c_0_5001,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2808]),
[final] ).
cnf(c_0_5002,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_4,X1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2174]),
[final] ).
cnf(c_0_5003,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2769,c_0_2811]),
[final] ).
cnf(c_0_5004,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3156,c_0_2414]),
[final] ).
cnf(c_0_5005,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3156,c_0_2520]),
[final] ).
cnf(c_0_5006,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3157,c_0_2616]),
[final] ).
cnf(c_0_5007,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3158,c_0_2616]),
[final] ).
cnf(c_0_5008,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,X1,e_3)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3159,c_0_2616]),
[final] ).
cnf(c_0_5009,negated_conjecture,
( equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(e_3,e_4)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2247]),
[final] ).
cnf(c_0_5010,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2045,c_0_2522]),
[final] ).
cnf(c_0_5011,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2045,c_0_2523]),
[final] ).
cnf(c_0_5012,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(e_3,X1,X2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2616]),
[final] ).
cnf(c_0_5013,negated_conjecture,
( product(e_1,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3160,c_0_2616]),
[final] ).
cnf(c_0_5014,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_2047]),
[final] ).
cnf(c_0_5015,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2047]),
[final] ).
cnf(c_0_5016,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ greater(e_2,e_4)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3161,c_0_3130]),c_0_952])]),
[final] ).
cnf(c_0_5017,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2214,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_5018,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3162,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_5019,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3163,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_5020,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(X1,X2,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2616]),
[final] ).
cnf(c_0_5021,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,X2,e_1)
| ~ product(e_3,X2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2616]),
[final] ).
cnf(c_0_5022,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2083]),
[final] ).
cnf(c_0_5023,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2047]),
[final] ).
cnf(c_0_5024,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2083]),
[final] ).
cnf(c_0_5025,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2083]),
[final] ).
cnf(c_0_5026,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_2,e_2,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3164,c_0_2616]),c_0_84]),
[final] ).
cnf(c_0_5027,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2247]),
[final] ).
cnf(c_0_5028,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2197,c_0_2616]),c_0_71]),
[final] ).
cnf(c_0_5029,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1275,c_0_2247]),c_0_241]),
[final] ).
cnf(c_0_5030,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2047]),
[final] ).
cnf(c_0_5031,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2047]),
[final] ).
cnf(c_0_5032,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2000]),
[final] ).
cnf(c_0_5033,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2000]),
[final] ).
cnf(c_0_5034,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1956]),
[final] ).
cnf(c_0_5035,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1956]),
[final] ).
cnf(c_0_5036,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1956]),
[final] ).
cnf(c_0_5037,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_755]),
[final] ).
cnf(c_0_5038,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_755]),
[final] ).
cnf(c_0_5039,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_755]),
[final] ).
cnf(c_0_5040,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_755]),
[final] ).
cnf(c_0_5041,negated_conjecture,
( product(e_1,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_3165,c_0_581]),
[final] ).
cnf(c_0_5042,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_3166]),
[final] ).
cnf(c_0_5043,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_3166]),
[final] ).
cnf(c_0_5044,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3166]),
[final] ).
cnf(c_0_5045,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3167,c_0_2660]),
[final] ).
cnf(c_0_5046,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2652]),
[final] ).
cnf(c_0_5047,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3168,c_0_621]),
[final] ).
cnf(c_0_5048,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2262]),
[final] ).
cnf(c_0_5049,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2652]),
[final] ).
cnf(c_0_5050,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2652]),
[final] ).
cnf(c_0_5051,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2652]),
[final] ).
cnf(c_0_5052,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2407]),
[final] ).
cnf(c_0_5053,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2407]),
[final] ).
cnf(c_0_5054,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2405]),
[final] ).
cnf(c_0_5055,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2405]),
[final] ).
cnf(c_0_5056,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2262]),
[final] ).
cnf(c_0_5057,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2262]),
[final] ).
cnf(c_0_5058,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2262]),
[final] ).
cnf(c_0_5059,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2171]),
[final] ).
cnf(c_0_5060,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2171]),
[final] ).
cnf(c_0_5061,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2171]),
[final] ).
cnf(c_0_5062,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2054]),
[final] ).
cnf(c_0_5063,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2054]),
[final] ).
cnf(c_0_5064,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_3169,c_0_581]),
[final] ).
cnf(c_0_5065,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X2,X1) ),
inference(spm,[status(thm)],[c_0_3170,c_0_581]),
[final] ).
cnf(c_0_5066,negated_conjecture,
( product(e_4,X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_3171,c_0_581]),
[final] ).
cnf(c_0_5067,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_1691]),
[final] ).
cnf(c_0_5068,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1721]),
[final] ).
cnf(c_0_5069,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1691]),
[final] ).
cnf(c_0_5070,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1721]),
[final] ).
cnf(c_0_5071,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1691]),
[final] ).
cnf(c_0_5072,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1691]),
[final] ).
cnf(c_0_5073,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_3172,c_0_581]),
[final] ).
cnf(c_0_5074,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2821,c_0_1098]),
[final] ).
cnf(c_0_5075,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2821,c_0_1777]),
[final] ).
cnf(c_0_5076,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2821,c_0_341]),
[final] ).
cnf(c_0_5077,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3127,c_0_1098]),
[final] ).
cnf(c_0_5078,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3127,c_0_1777]),
[final] ).
cnf(c_0_5079,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3127,c_0_341]),
[final] ).
cnf(c_0_5080,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3173,c_0_2522]),
[final] ).
cnf(c_0_5081,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3174,c_0_2523]),
[final] ).
cnf(c_0_5082,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_1651,c_0_2522]),
[final] ).
cnf(c_0_5083,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_438,c_0_2522]),
[final] ).
cnf(c_0_5084,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1651,c_0_2523]),
[final] ).
cnf(c_0_5085,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_438,c_0_2523]),
[final] ).
cnf(c_0_5086,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X1,X2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2523]),
[final] ).
cnf(c_0_5087,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3175,c_0_2408]),c_0_55]),
[final] ).
cnf(c_0_5088,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3175,c_0_2409]),c_0_55]),
[final] ).
cnf(c_0_5089,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X2,e_4)
| ~ product(X1,X2,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2523]),
[final] ).
cnf(c_0_5090,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_4)
| ~ product(e_2,X2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2523]),
[final] ).
cnf(c_0_5091,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3176,c_0_3177]),c_0_82]),
[final] ).
cnf(c_0_5092,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3178,c_0_3179]),c_0_82]),
[final] ).
cnf(c_0_5093,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1410]),
[final] ).
cnf(c_0_5094,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1410]),
[final] ).
cnf(c_0_5095,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1410]),
[final] ).
cnf(c_0_5096,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_4,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2408]),
[final] ).
cnf(c_0_5097,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_4,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2409]),
[final] ).
cnf(c_0_5098,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2522]),c_0_84]),
[final] ).
cnf(c_0_5099,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2523]),c_0_84]),
[final] ).
cnf(c_0_5100,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3180,c_0_2154]),
[final] ).
cnf(c_0_5101,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1326,c_0_2770]),
[final] ).
cnf(c_0_5102,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1125]),
[final] ).
cnf(c_0_5103,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1125]),
[final] ).
cnf(c_0_5104,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1098]),
[final] ).
cnf(c_0_5105,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3128]),
[final] ).
cnf(c_0_5106,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3128]),
[final] ).
cnf(c_0_5107,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3128]),
[final] ).
cnf(c_0_5108,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_619]),
[final] ).
cnf(c_0_5109,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_619]),
[final] ).
cnf(c_0_5110,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_619]),
[final] ).
cnf(c_0_5111,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1975]),
[final] ).
cnf(c_0_5112,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1975]),
[final] ).
cnf(c_0_5113,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1975]),
[final] ).
cnf(c_0_5114,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1104]),
[final] ).
cnf(c_0_5115,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_113]),
[final] ).
cnf(c_0_5116,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_95]),
[final] ).
cnf(c_0_5117,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_120]),
[final] ).
cnf(c_0_5118,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_2514]),
[final] ).
cnf(c_0_5119,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_2514]),
[final] ).
cnf(c_0_5120,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_113]),
[final] ).
cnf(c_0_5121,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_95]),
[final] ).
cnf(c_0_5122,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_120]),
[final] ).
cnf(c_0_5123,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_2513]),
[final] ).
cnf(c_0_5124,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_123,c_0_2513]),
[final] ).
cnf(c_0_5125,negated_conjecture,
( product(e_3,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3181,c_0_581]),
[final] ).
cnf(c_0_5126,negated_conjecture,
( product(e_2,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3182,c_0_581]),
[final] ).
cnf(c_0_5127,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3183,c_0_952]),
[final] ).
cnf(c_0_5128,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3183,c_0_595]),
[final] ).
cnf(c_0_5129,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3183,c_0_569]),
[final] ).
cnf(c_0_5130,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3183,c_0_3184]),
[final] ).
cnf(c_0_5131,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,e_4)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3185,c_0_3184]),
[final] ).
cnf(c_0_5132,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_2,e_4)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_3186,c_0_3130]),
[final] ).
cnf(c_0_5133,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2830,c_0_595]),
[final] ).
cnf(c_0_5134,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2830,c_0_569]),
[final] ).
cnf(c_0_5135,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_4)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2830,c_0_3184]),
[final] ).
cnf(c_0_5136,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_2801]),
[final] ).
cnf(c_0_5137,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2801]),
[final] ).
cnf(c_0_5138,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2801]),
[final] ).
cnf(c_0_5139,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2801]),
[final] ).
cnf(c_0_5140,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2661]),
[final] ).
cnf(c_0_5141,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2661]),
[final] ).
cnf(c_0_5142,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2661]),
[final] ).
cnf(c_0_5143,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2527]),
[final] ).
cnf(c_0_5144,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2527]),
[final] ).
cnf(c_0_5145,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2527]),
[final] ).
cnf(c_0_5146,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2413]),
[final] ).
cnf(c_0_5147,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2413]),
[final] ).
cnf(c_0_5148,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2413]),
[final] ).
cnf(c_0_5149,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2328]),
[final] ).
cnf(c_0_5150,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2328]),
[final] ).
cnf(c_0_5151,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2328]),
[final] ).
cnf(c_0_5152,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3187,c_0_581]),
[final] ).
cnf(c_0_5153,negated_conjecture,
( product(e_1,X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_3188,c_0_2012]),
[final] ).
cnf(c_0_5154,negated_conjecture,
( product(e_2,X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2012]),
[final] ).
cnf(c_0_5155,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2056]),
[final] ).
cnf(c_0_5156,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_3189,c_0_581]),
[final] ).
cnf(c_0_5157,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_3190,c_0_2012]),
[final] ).
cnf(c_0_5158,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2012]),
[final] ).
cnf(c_0_5159,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2012]),
[final] ).
cnf(c_0_5160,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2012]),
[final] ).
cnf(c_0_5161,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_3191,c_0_581]),
[final] ).
cnf(c_0_5162,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_3192,c_0_581]),
[final] ).
cnf(c_0_5163,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1758]),
[final] ).
cnf(c_0_5164,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1505]),
[final] ).
cnf(c_0_5165,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1505]),
[final] ).
cnf(c_0_5166,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1505]),
[final] ).
cnf(c_0_5167,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1480]),
[final] ).
cnf(c_0_5168,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1480]),
[final] ).
cnf(c_0_5169,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_2414]),c_0_82]),
[final] ).
cnf(c_0_5170,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_2520]),c_0_82]),
[final] ).
cnf(c_0_5171,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3193,c_0_581]),
[final] ).
cnf(c_0_5172,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3194,c_0_2514]),
[final] ).
cnf(c_0_5173,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3194,c_0_2513]),
[final] ).
cnf(c_0_5174,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3195,c_0_2414]),
[final] ).
cnf(c_0_5175,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3195,c_0_2520]),
[final] ).
cnf(c_0_5176,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2803]),
[final] ).
cnf(c_0_5177,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2803]),
[final] ).
cnf(c_0_5178,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3196,c_0_621]),
[final] ).
cnf(c_0_5179,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_3197]),
[final] ).
cnf(c_0_5180,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_3197]),
[final] ).
cnf(c_0_5181,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3197]),
[final] ).
cnf(c_0_5182,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2803]),
[final] ).
cnf(c_0_5183,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2803]),
[final] ).
cnf(c_0_5184,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2504]),
[final] ).
cnf(c_0_5185,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2504]),
[final] ).
cnf(c_0_5186,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2504]),
[final] ).
cnf(c_0_5187,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2393]),
[final] ).
cnf(c_0_5188,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2393]),
[final] ).
cnf(c_0_5189,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2393]),
[final] ).
cnf(c_0_5190,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3197]),
[final] ).
cnf(c_0_5191,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3197]),
[final] ).
cnf(c_0_5192,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3197]),
[final] ).
cnf(c_0_5193,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2256]),
[final] ).
cnf(c_0_5194,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2256]),
[final] ).
cnf(c_0_5195,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2256]),
[final] ).
cnf(c_0_5196,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1995]),
[final] ).
cnf(c_0_5197,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_1995]),
[final] ).
cnf(c_0_5198,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1995]),
[final] ).
cnf(c_0_5199,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1953]),
[final] ).
cnf(c_0_5200,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1953]),
[final] ).
cnf(c_0_5201,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1953]),
[final] ).
cnf(c_0_5202,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1901]),
[final] ).
cnf(c_0_5203,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1901]),
[final] ).
cnf(c_0_5204,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1777]),
[final] ).
cnf(c_0_5205,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(e_4,X1)
| ~ greater(e_2,e_4)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3198,c_0_3130]),c_0_952])]),
[final] ).
cnf(c_0_5206,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1619]),
[final] ).
cnf(c_0_5207,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1619]),
[final] ).
cnf(c_0_5208,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1619]),
[final] ).
cnf(c_0_5209,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3199,c_0_2660]),
[final] ).
cnf(c_0_5210,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2645,c_0_2770]),
[final] ).
cnf(c_0_5211,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3200,c_0_621]),
[final] ).
cnf(c_0_5212,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2511]),
[final] ).
cnf(c_0_5213,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2808]),
[final] ).
cnf(c_0_5214,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2808]),
[final] ).
cnf(c_0_5215,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2808]),
[final] ).
cnf(c_0_5216,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2836]),
[final] ).
cnf(c_0_5217,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2836]),
[final] ).
cnf(c_0_5218,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2836]),
[final] ).
cnf(c_0_5219,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2511]),
[final] ).
cnf(c_0_5220,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2511]),
[final] ).
cnf(c_0_5221,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2511]),
[final] ).
cnf(c_0_5222,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_2320]),
[final] ).
cnf(c_0_5223,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2320]),
[final] ).
cnf(c_0_5224,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2166]),
[final] ).
cnf(c_0_5225,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2806]),
[final] ).
cnf(c_0_5226,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2806]),
[final] ).
cnf(c_0_5227,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2643]),
[final] ).
cnf(c_0_5228,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2643]),
[final] ).
cnf(c_0_5229,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2320]),
[final] ).
cnf(c_0_5230,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2320]),
[final] ).
cnf(c_0_5231,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2166]),
[final] ).
cnf(c_0_5232,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2166]),
[final] ).
cnf(c_0_5233,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1658]),
[final] ).
cnf(c_0_5234,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1658]),
[final] ).
cnf(c_0_5235,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1658]),
[final] ).
cnf(c_0_5236,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1716]),
[final] ).
cnf(c_0_5237,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1716]),
[final] ).
cnf(c_0_5238,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1716]),
[final] ).
cnf(c_0_5239,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1625]),
[final] ).
cnf(c_0_5240,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1625]),
[final] ).
cnf(c_0_5241,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1625]),
[final] ).
cnf(c_0_5242,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_2514]),
[final] ).
cnf(c_0_5243,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_2660]),
[final] ).
cnf(c_0_5244,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3201,c_0_2263]),c_0_241]),
[final] ).
cnf(c_0_5245,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3201,c_0_2264]),c_0_241]),
[final] ).
cnf(c_0_5246,negated_conjecture,
( product(e_1,X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_3202,c_0_581]),
[final] ).
cnf(c_0_5247,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_3203,c_0_581]),
[final] ).
cnf(c_0_5248,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X2,X1) ),
inference(spm,[status(thm)],[c_0_3204,c_0_581]),
[final] ).
cnf(c_0_5249,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_3205]),
[final] ).
cnf(c_0_5250,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_3205]),
[final] ).
cnf(c_0_5251,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3206,c_0_3207]),c_0_91]),
[final] ).
cnf(c_0_5252,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3205]),
[final] ).
cnf(c_0_5253,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3205]),
[final] ).
cnf(c_0_5254,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3205]),
[final] ).
cnf(c_0_5255,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2665]),
[final] ).
cnf(c_0_5256,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3206,c_0_3208]),c_0_91]),
[final] ).
cnf(c_0_5257,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2665]),
[final] ).
cnf(c_0_5258,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2530]),
[final] ).
cnf(c_0_5259,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_3209]),
[final] ).
cnf(c_0_5260,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3210,c_0_581]),
[final] ).
cnf(c_0_5261,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3211,c_0_2263]),c_0_241]),
[final] ).
cnf(c_0_5262,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3212,c_0_2263]),c_0_241]),
[final] ).
cnf(c_0_5263,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2659]),
[final] ).
cnf(c_0_5264,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3213,c_0_2414]),
[final] ).
cnf(c_0_5265,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_3214,c_0_2514]),
[final] ).
cnf(c_0_5266,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_2133]),
[final] ).
cnf(c_0_5267,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_2094]),
[final] ).
cnf(c_0_5268,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_2216]),c_0_57]),
[final] ).
cnf(c_0_5269,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_2216]),c_0_55]),
[final] ).
cnf(c_0_5270,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_2216]),c_0_241]),
[final] ).
cnf(c_0_5271,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2174]),
[final] ).
cnf(c_0_5272,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2094]),
[final] ).
cnf(c_0_5273,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3215,c_0_3216]),c_0_100]),
[final] ).
cnf(c_0_5274,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2174]),
[final] ).
cnf(c_0_5275,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2133]),
[final] ).
cnf(c_0_5276,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2133]),
[final] ).
cnf(c_0_5277,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_3217,c_0_581]),
[final] ).
cnf(c_0_5278,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2133]),
[final] ).
cnf(c_0_5279,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2094]),
[final] ).
cnf(c_0_5280,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2094]),
[final] ).
cnf(c_0_5281,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2094]),
[final] ).
cnf(c_0_5282,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2263]),
[final] ).
cnf(c_0_5283,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2216]),
[final] ).
cnf(c_0_5284,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2414]),c_0_71]),
[final] ).
cnf(c_0_5285,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2514]),c_0_178]),
[final] ).
cnf(c_0_5286,negated_conjecture,
( ~ cycle(e_3,e_0)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3206,c_0_2216]),c_0_91]),
[final] ).
cnf(c_0_5287,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1858]),
[final] ).
cnf(c_0_5288,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1858]),
[final] ).
cnf(c_0_5289,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3211,c_0_2264]),c_0_241]),
[final] ).
cnf(c_0_5290,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3212,c_0_2264]),c_0_241]),
[final] ).
cnf(c_0_5291,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_4,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_3209]),
[final] ).
cnf(c_0_5292,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_2,X1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2893,c_0_2659]),
[final] ).
cnf(c_0_5293,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_3,X1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_1370]),
[final] ).
cnf(c_0_5294,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_1408]),
[final] ).
cnf(c_0_5295,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3218,c_0_2660]),
[final] ).
cnf(c_0_5296,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2132,c_0_2770]),
[final] ).
cnf(c_0_5297,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_3)
| ~ product(e_1,X1,e_2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3213,c_0_2520]),
[final] ).
cnf(c_0_5298,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(e_1,X1,e_3)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3214,c_0_2513]),
[final] ).
cnf(c_0_5299,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X1,X2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2520]),
[final] ).
cnf(c_0_5300,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X1,X2)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2513]),
[final] ).
cnf(c_0_5301,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_2217]),c_0_57]),
[final] ).
cnf(c_0_5302,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3219,c_0_621]),
[final] ).
cnf(c_0_5303,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_1925]),
[final] ).
cnf(c_0_5304,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X2,e_2)
| ~ product(X1,X2,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2520]),
[final] ).
cnf(c_0_5305,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ product(e_3,X2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2520]),
[final] ).
cnf(c_0_5306,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X2,e_3)
| ~ product(X1,X2,e_1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2513]),
[final] ).
cnf(c_0_5307,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2513]),
[final] ).
cnf(c_0_5308,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_2217]),c_0_55]),
[final] ).
cnf(c_0_5309,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_2217]),c_0_241]),
[final] ).
cnf(c_0_5310,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3220,c_0_3221]),c_0_100]),
[final] ).
cnf(c_0_5311,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1969]),
[final] ).
cnf(c_0_5312,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1925]),
[final] ).
cnf(c_0_5313,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1925]),
[final] ).
cnf(c_0_5314,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2264]),
[final] ).
cnf(c_0_5315,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,X1,e_4)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2217]),
[final] ).
cnf(c_0_5316,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2520]),c_0_71]),
[final] ).
cnf(c_0_5317,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2513]),c_0_178]),
[final] ).
cnf(c_0_5318,negated_conjecture,
( ~ greater(e_3,e_4)
| ~ greater(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3206,c_0_2217]),c_0_91]),
[final] ).
cnf(c_0_5319,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1605]),
[final] ).
cnf(c_0_5320,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1605]),
[final] ).
cnf(c_0_5321,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1605]),
[final] ).
cnf(c_0_5322,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_1,X2,e_2)
| ~ product(e_4,X1,X2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2660]),
[final] ).
cnf(c_0_5323,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_1,X2,e_2)
| ~ product(e_4,X1,X2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_3222]),
[final] ).
cnf(c_0_5324,negated_conjecture,
( product(e_2,X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3223,c_0_2660]),
[final] ).
cnf(c_0_5325,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_2526]),c_0_55]),
[final] ).
cnf(c_0_5326,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2526]),c_0_241]),
[final] ).
cnf(c_0_5327,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_2843]),c_0_55]),
[final] ).
cnf(c_0_5328,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X2,e_2)
| ~ product(X1,X2,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2660]),
[final] ).
cnf(c_0_5329,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ product(e_4,X2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2660]),
[final] ).
cnf(c_0_5330,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,X2,e_2)
| ~ product(X1,X2,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_3222]),
[final] ).
cnf(c_0_5331,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_2)
| ~ product(e_4,X2,X1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_3222]),
[final] ).
cnf(c_0_5332,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_2843]),c_0_241]),
[final] ).
cnf(c_0_5333,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1370]),
[final] ).
cnf(c_0_5334,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1370]),
[final] ).
cnf(c_0_5335,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1185]),
[final] ).
cnf(c_0_5336,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1338]),
[final] ).
cnf(c_0_5337,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1185]),
[final] ).
cnf(c_0_5338,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1185]),
[final] ).
cnf(c_0_5339,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2526]),
[final] ).
cnf(c_0_5340,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_4)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2843]),
[final] ).
cnf(c_0_5341,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_2,X1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2843]),
[final] ).
cnf(c_0_5342,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_2660]),c_0_178]),
[final] ).
cnf(c_0_5343,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_3222]),c_0_178]),
[final] ).
cnf(c_0_5344,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1360]),
[final] ).
cnf(c_0_5345,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2411,c_0_1360]),c_0_116]),
[final] ).
cnf(c_0_5346,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2668,c_0_1360]),c_0_116]),
[final] ).
cnf(c_0_5347,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1016]),
[final] ).
cnf(c_0_5348,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1016]),
[final] ).
cnf(c_0_5349,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2411,c_0_3224]),c_0_116]),
[final] ).
cnf(c_0_5350,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2668,c_0_3225]),c_0_116]),
[final] ).
cnf(c_0_5351,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_708]),
[final] ).
cnf(c_0_5352,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1392]),
[final] ).
cnf(c_0_5353,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1392]),
[final] ).
cnf(c_0_5354,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3226,c_0_2271]),
[final] ).
cnf(c_0_5355,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_593]),
[final] ).
cnf(c_0_5356,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| ~ greater(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3227,c_0_2770]),c_0_84]),
[final] ).
cnf(c_0_5357,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3228,c_0_2844]),c_0_84]),
[final] ).
cnf(c_0_5358,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_3229,c_0_2271]),
[final] ).
cnf(c_0_5359,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3230,c_0_3231]),c_0_178]),
[final] ).
cnf(c_0_5360,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,X1)
| ~ greater(e_2,e_4)
| ~ greater(e_1,X1) ),
inference(spm,[status(thm)],[c_0_864,c_0_3130]),
[final] ).
cnf(c_0_5361,negated_conjecture,
( product(e_3,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2648,c_0_2770]),
[final] ).
cnf(c_0_5362,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(e_2,e_4)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_2674,c_0_3130]),
[final] ).
cnf(c_0_5363,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3232,c_0_952]),
[final] ).
cnf(c_0_5364,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3232,c_0_595]),
[final] ).
cnf(c_0_5365,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3232,c_0_569]),
[final] ).
cnf(c_0_5366,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3232,c_0_3184]),
[final] ).
cnf(c_0_5367,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_3233,c_0_658]),
[final] ).
cnf(c_0_5368,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_4,X1)
| ~ greater(e_2,e_4)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3234,c_0_3130]),c_0_952])]),
[final] ).
cnf(c_0_5369,negated_conjecture,
( product(e_2,X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2811]),
[final] ).
cnf(c_0_5370,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2811]),
[final] ).
cnf(c_0_5371,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2811]),
[final] ).
cnf(c_0_5372,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_2815]),
[final] ).
cnf(c_0_5373,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2815]),
[final] ).
cnf(c_0_5374,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2815]),
[final] ).
cnf(c_0_5375,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2515]),
[final] ).
cnf(c_0_5376,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2515]),
[final] ).
cnf(c_0_5377,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2515]),
[final] ).
cnf(c_0_5378,negated_conjecture,
( equalish(X1,e_1)
| ~ cycle(e_2,X1)
| ~ greater(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2862,c_0_3130]),
[final] ).
cnf(c_0_5379,negated_conjecture,
( ~ cycle(X1,X2)
| ~ greater(e_2,e_4)
| ~ greater(e_1,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_2854,c_0_3130]),
[final] ).
cnf(c_0_5380,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_2515]),c_0_482])]),
[final] ).
cnf(c_0_5381,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_3)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3058,c_0_2322]),
[final] ).
cnf(c_0_5382,negated_conjecture,
( product(e_1,X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2322]),
[final] ).
cnf(c_0_5383,negated_conjecture,
( product(e_3,X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2213]),
[final] ).
cnf(c_0_5384,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2807]),
[final] ).
cnf(c_0_5385,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2807]),
[final] ).
cnf(c_0_5386,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_2644]),
[final] ).
cnf(c_0_5387,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2644]),
[final] ).
cnf(c_0_5388,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2322]),
[final] ).
cnf(c_0_5389,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2322]),
[final] ).
cnf(c_0_5390,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2213]),
[final] ).
cnf(c_0_5391,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2213]),
[final] ).
cnf(c_0_5392,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2213]),
[final] ).
cnf(c_0_5393,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1827]),
[final] ).
cnf(c_0_5394,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_1827]),
[final] ).
cnf(c_0_5395,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1827]),
[final] ).
cnf(c_0_5396,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3235,c_0_970]),
[final] ).
cnf(c_0_5397,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1786]),
[final] ).
cnf(c_0_5398,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1786]),
[final] ).
cnf(c_0_5399,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_1690]),
[final] ).
cnf(c_0_5400,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_1690]),
[final] ).
cnf(c_0_5401,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1690]),
[final] ).
cnf(c_0_5402,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1786]),c_0_1181])]),
[final] ).
cnf(c_0_5403,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1408]),
[final] ).
cnf(c_0_5404,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1408]),
[final] ).
cnf(c_0_5405,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1371]),
[final] ).
cnf(c_0_5406,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_1,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3236,c_0_952]),
[final] ).
cnf(c_0_5407,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_1,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3236,c_0_595]),
[final] ).
cnf(c_0_5408,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_1,e_3)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3236,c_0_569]),
[final] ).
cnf(c_0_5409,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_1,e_4)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3236,c_0_3184]),
[final] ).
cnf(c_0_5410,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| ~ product(e_1,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3237,c_0_2844]),c_0_100]),
[final] ).
cnf(c_0_5411,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_2,e_4)
| ~ product(e_1,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3238,c_0_2844]),c_0_100]),
[final] ).
cnf(c_0_5412,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_4,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2844]),c_0_62]),
[final] ).
cnf(c_0_5413,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_2844]),c_0_100]),
[final] ).
cnf(c_0_5414,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_4)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_2532]),c_0_241]),
[final] ).
cnf(c_0_5415,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_3239,c_0_581]),
[final] ).
cnf(c_0_5416,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,X2,e_3)
| ~ product(e_2,X1,X2)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_2770]),
[final] ).
cnf(c_0_5417,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3240,c_0_621]),
[final] ).
cnf(c_0_5418,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X2,e_3)
| ~ product(X1,X2,e_1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_2770]),
[final] ).
cnf(c_0_5419,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ product(e_2,X2,X1)
| ~ greater(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2770]),
[final] ).
cnf(c_0_5420,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_3209]),
[final] ).
cnf(c_0_5421,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_2659]),
[final] ).
cnf(c_0_5422,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_557]),
[final] ).
cnf(c_0_5423,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_557]),
[final] ).
cnf(c_0_5424,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_551]),
[final] ).
cnf(c_0_5425,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_551]),
[final] ).
cnf(c_0_5426,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_3209]),
[final] ).
cnf(c_0_5427,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_3209]),
[final] ).
cnf(c_0_5428,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_3209]),
[final] ).
cnf(c_0_5429,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_536]),
[final] ).
cnf(c_0_5430,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_536]),
[final] ).
cnf(c_0_5431,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_536]),
[final] ).
cnf(c_0_5432,negated_conjecture,
( equalish(X1,X2)
| ~ product(e_2,X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_2844]),
[final] ).
cnf(c_0_5433,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,X2,e_3)
| ~ product(e_2,X1,X2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_2844]),
[final] ).
cnf(c_0_5434,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X2,e_3)
| ~ product(X1,X2,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_2844]),
[final] ).
cnf(c_0_5435,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X2,e_3)
| ~ product(e_2,X2,X1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_2844]),
[final] ).
cnf(c_0_5436,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_448]),
[final] ).
cnf(c_0_5437,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_429]),
[final] ).
cnf(c_0_5438,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_429]),
[final] ).
cnf(c_0_5439,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_429]),
[final] ).
cnf(c_0_5440,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_369]),
[final] ).
cnf(c_0_5441,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_369]),
[final] ).
cnf(c_0_5442,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_369]),
[final] ).
cnf(c_0_5443,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_341]),
[final] ).
cnf(c_0_5444,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_341]),
[final] ).
cnf(c_0_5445,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_341]),
[final] ).
cnf(c_0_5446,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_331]),
[final] ).
cnf(c_0_5447,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_331]),
[final] ).
cnf(c_0_5448,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_3241]),c_0_482])]),
[final] ).
cnf(c_0_5449,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_478]),
[final] ).
cnf(c_0_5450,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_3242,c_0_621]),
[final] ).
cnf(c_0_5451,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_1,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3243,c_0_970]),
[final] ).
cnf(c_0_5452,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_899,c_0_970]),
[final] ).
cnf(c_0_5453,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_2862,c_0_970]),
[final] ).
cnf(c_0_5454,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3244,c_0_595]),
[final] ).
cnf(c_0_5455,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3244,c_0_2535]),
[final] ).
cnf(c_0_5456,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2862,c_0_658]),
[final] ).
cnf(c_0_5457,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_430]),
[final] ).
cnf(c_0_5458,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_430]),
[final] ).
cnf(c_0_5459,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_252]),
[final] ).
cnf(c_0_5460,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_252]),
[final] ).
cnf(c_0_5461,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_113]),
[final] ).
cnf(c_0_5462,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3245,c_0_621]),
[final] ).
cnf(c_0_5463,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_121]),
[final] ).
cnf(c_0_5464,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_121]),c_0_621])]),
[final] ).
cnf(c_0_5465,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_144]),
[final] ).
cnf(c_0_5466,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2025]),
[final] ).
cnf(c_0_5467,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_780]),
[final] ).
cnf(c_0_5468,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_587]),
[final] ).
cnf(c_0_5469,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_1944]),
[final] ).
cnf(c_0_5470,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1944]),
[final] ).
cnf(c_0_5471,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_745]),
[final] ).
cnf(c_0_5472,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_745]),
[final] ).
cnf(c_0_5473,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2452]),
[final] ).
cnf(c_0_5474,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2452]),
[final] ).
cnf(c_0_5475,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_2300]),
[final] ).
cnf(c_0_5476,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_2300]),
[final] ).
cnf(c_0_5477,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_77]),
[final] ).
cnf(c_0_5478,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_77]),
[final] ).
cnf(c_0_5479,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_120]),
[final] ).
cnf(c_0_5480,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_120]),
[final] ).
cnf(c_0_5481,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1727]),
[final] ).
cnf(c_0_5482,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_1669]),
[final] ).
cnf(c_0_5483,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_1669]),
[final] ).
cnf(c_0_5484,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_155,c_0_791]),
[final] ).
cnf(c_0_5485,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_791]),
[final] ).
cnf(c_0_5486,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_104]),
[final] ).
cnf(c_0_5487,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_103]),
[final] ).
cnf(c_0_5488,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_96]),
[final] ).
cnf(c_0_5489,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_4,X1)
| ~ greater(e_0,X1) ),
inference(spm,[status(thm)],[c_0_3246,c_0_2271]),
[final] ).
cnf(c_0_5490,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_145]),
[final] ).
cnf(c_0_5491,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_145]),
[final] ).
cnf(c_0_5492,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_167]),
[final] ).
cnf(c_0_5493,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_52]),
[final] ).
cnf(c_0_5494,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_268]),
[final] ).
cnf(c_0_5495,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_412]),
[final] ).
cnf(c_0_5496,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_50]),
[final] ).
cnf(c_0_5497,plain,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,e_4)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_3247,c_0_3184]),
[final] ).
cnf(c_0_5498,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(e_2,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_3248,c_0_648]),
[final] ).
cnf(c_0_5499,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_78]),
[final] ).
cnf(c_0_5500,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_3249,c_0_597]),
[final] ).
cnf(c_0_5501,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3250,c_0_2271]),
[final] ).
cnf(c_0_5502,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_3243,c_0_581]),
[final] ).
cnf(c_0_5503,plain,
( equalish(X1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_2862,c_0_2271]),
[final] ).
cnf(c_0_5504,plain,
( ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_2675,c_0_3184]),
[final] ).
cnf(c_0_5505,plain,
( equalish(X1,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_2862,c_0_581]),
[final] ).
cnf(c_0_5506,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_568,c_0_3184]),
[final] ).
cnf(c_0_5507,negated_conjecture,
~ cycle(e_2,e_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3251,c_0_3252]),c_0_91]),
[final] ).
cnf(c_0_5508,plain,
equalish(e_1,e_1),
inference(spm,[status(thm)],[c_0_3253,c_0_2858]),
[final] ).
cnf(c_0_5509,plain,
equalish(e_2,e_2),
inference(spm,[status(thm)],[c_0_3254,c_0_2859]),
[final] ).
cnf(c_0_5510,plain,
equalish(e_3,e_3),
inference(spm,[status(thm)],[c_0_3255,c_0_2860]),
[final] ).
cnf(c_0_5511,plain,
equalish(e_4,e_4),
inference(spm,[status(thm)],[c_0_3256,c_0_2861]),
[final] ).
cnf(c_0_5512,plain,
equalish(e_0,e_0),
inference(spm,[status(thm)],[c_0_3257,c_0_621]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP130-3.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:24:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 153.20/91.90 % Version : CSE_E---1.7
% 153.20/91.90 % Problem : theBenchmark.p
% 153.20/91.90 % SZS status Satisfiable for theBenchmark.p
% 153.20/91.90 % SZS output start Saturation
% See solution above
% 153.69/92.41 % Total time : 74.401s
%------------------------------------------------------------------------------