%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP128-3.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 04:24:05 PM UTC 2026
% Result : Satisfiable 9.21s 5.94s
% Output : Saturation 9.21s
% 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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(qg3,negated_conjecture,
( product(X1,X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle6) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cycle2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
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/sandbox/benchmark/theBenchmark.p',cycle5) ).
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/sandbox/benchmark/theBenchmark.p',cycle4) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle3) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle7) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(cycle1,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle1) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/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_4),
element_4,
[final] ).
cnf(c_0_44,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_43]),
[final] ).
cnf(c_0_45,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_46,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_44,c_0_43]),
[final] ).
cnf(c_0_47,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_48,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_49,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_45,c_0_46]),
[final] ).
cnf(c_0_50,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_44,c_0_47]) ).
cnf(c_0_51,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_52,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_44,c_0_48]) ).
cnf(c_0_53,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_54,negated_conjecture,
( product(X1,X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
qg3,
[final] ).
cnf(c_0_55,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| 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_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(X1,e_4,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,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(X1,e_4,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| 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_57,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,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) ),
inference(spm,[status(thm)],[c_0_58,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( product(e_4,e_4,e_1)
| 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_61,c_0_50]) ).
cnf(c_0_64,negated_conjecture,
( product(e_4,e_4,e_1)
| 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_62,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( 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_65,c_0_50]),
[final] ).
cnf(c_0_68,negated_conjecture,
( 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_66,c_0_52]),
[final] ).
cnf(c_0_69,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_45,c_0_67]),
[final] ).
cnf(c_0_70,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_71,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(X1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_68]),
[final] ).
cnf(c_0_72,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_70]),
[final] ).
cnf(c_0_73,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_74,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_73]),
[final] ).
cnf(c_0_75,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_68]) ).
cnf(c_0_76,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_77,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_75]) ).
cnf(c_0_78,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_48]),
[final] ).
cnf(c_0_79,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
cnf(c_0_80,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_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_81,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_82,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_78,c_0_43]) ).
cnf(c_0_83,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),
[final] ).
cnf(c_0_84,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_83]),
[final] ).
cnf(c_0_86,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_76,c_0_82]) ).
cnf(c_0_87,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) ),
inference(spm,[status(thm)],[c_0_84,c_0_82]) ).
cnf(c_0_88,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_89,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_83]),
[final] ).
cnf(c_0_90,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(X1,e_3,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_67]),
[final] ).
cnf(c_0_91,negated_conjecture,
( 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_86,c_0_87]),c_0_88]),
[final] ).
cnf(c_0_92,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_89]),
[final] ).
cnf(c_0_93,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_67]),
[final] ).
cnf(c_0_94,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_78,c_0_48]) ).
cnf(c_0_95,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_91]),
[final] ).
cnf(c_0_96,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_89]),
[final] ).
cnf(c_0_97,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(X1,e_2,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,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(spm,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_100,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_76,c_0_67]),
[final] ).
cnf(c_0_101,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_81]) ).
cnf(c_0_102,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_47]),
[final] ).
cnf(c_0_103,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_45,c_0_94]) ).
cnf(c_0_104,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_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,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_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_51]) ).
cnf(c_0_106,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_102,c_0_43]) ).
cnf(c_0_107,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_2,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_88]) ).
cnf(c_0_108,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_106]) ).
cnf(c_0_110,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_111,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_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_108]),c_0_81]),
[final] ).
cnf(c_0_113,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_76,c_0_106]) ).
cnf(c_0_114,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) ),
inference(spm,[status(thm)],[c_0_109,c_0_106]) ).
cnf(c_0_115,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_116,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_89]),
[final] ).
cnf(c_0_117,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_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_51]) ).
cnf(c_0_118,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_119,negated_conjecture,
( 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_113,c_0_114]),c_0_115]),
[final] ).
cnf(c_0_120,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_121,negated_conjecture,
( 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_76,c_0_119]),
[final] ).
cnf(c_0_122,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3)
| product(X1,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_120]) ).
cnf(c_0_123,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_91]),c_0_70]),
[final] ).
cnf(c_0_124,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,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_124,c_0_125]),c_0_88]) ).
cnf(c_0_128,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_44,c_0_126]) ).
cnf(c_0_129,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_130,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_2,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_98,c_0_127]) ).
cnf(c_0_131,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| 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_49,c_0_128]),c_0_129]) ).
cnf(c_0_132,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_126]),
[final] ).
cnf(c_0_133,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_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_130]),c_0_88]) ).
cnf(c_0_134,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(X1,e_4,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_131]) ).
cnf(c_0_135,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_132,c_0_43]) ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_128]) ).
cnf(c_0_138,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_120]) ).
cnf(c_0_140,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_94]) ).
cnf(c_0_141,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_137]) ).
cnf(c_0_142,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_76,c_0_135]) ).
cnf(c_0_143,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) ),
inference(spm,[status(thm)],[c_0_138,c_0_135]) ).
cnf(c_0_144,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_145,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_76,c_0_68]),
[final] ).
cnf(c_0_146,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_115]) ).
cnf(c_0_147,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(X1,e_1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_128]) ).
cnf(c_0_148,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_128]) ).
cnf(c_0_149,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_142,c_0_143]),c_0_144]),
[final] ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_112]),
[final] ).
cnf(c_0_151,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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_145,c_0_146]),c_0_53]) ).
cnf(c_0_152,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_1,e_4) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_153,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_110,c_0_149]),
[final] ).
cnf(c_0_154,negated_conjecture,
( 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_150,c_0_146]) ).
cnf(c_0_155,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(X1,e_2,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_151]) ).
cnf(c_0_156,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,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_153,c_0_152]),c_0_115]) ).
cnf(c_0_158,negated_conjecture,
( 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_76,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_151]) ).
cnf(c_0_160,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_76,c_0_148]) ).
cnf(c_0_161,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_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_53]) ).
cnf(c_0_162,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_115]),
[final] ).
cnf(c_0_163,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_45,c_0_68]),
[final] ).
cnf(c_0_164,negated_conjecture,
( 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_160,c_0_161]),c_0_129]),
[final] ).
cnf(c_0_165,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_166,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_76,c_0_162]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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_163,c_0_164]),c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_164]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_88]) ).
cnf(c_0_170,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_171,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_170]) ).
cnf(c_0_172,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_168,c_0_89]) ).
cnf(c_0_173,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_81]) ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,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_69,c_0_164]),c_0_173]),
[final] ).
cnf(c_0_177,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6,
[final] ).
cnf(c_0_178,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_132,c_0_48]),
[final] ).
cnf(c_0_179,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_180,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_181,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_53]) ).
cnf(c_0_182,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_176]),
[final] ).
cnf(c_0_183,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_177,c_0_178]),c_0_179])]),
[final] ).
cnf(c_0_184,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_180,c_0_48]) ).
cnf(c_0_185,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_168,c_0_181]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_182,c_0_167]),c_0_70]) ).
cnf(c_0_187,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_183,c_0_184]) ).
cnf(c_0_188,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_189,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_185]),
[final] ).
cnf(c_0_190,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_186]) ).
cnf(c_0_191,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_177,c_0_187]),c_0_188])]) ).
cnf(c_0_192,negated_conjecture,
( 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_189,c_0_190]),c_0_81]),
[final] ).
cnf(c_0_193,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_176]),
[final] ).
cnf(c_0_194,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_191,c_0_184]) ).
cnf(c_0_195,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_192]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_193,c_0_164]) ).
cnf(c_0_197,negated_conjecture,
( product(e_2,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_194]) ).
cnf(c_0_198,negated_conjecture,
( 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_195,c_0_196]),c_0_81]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_93]),
[final] ).
cnf(c_0_200,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_132,c_0_126]) ).
cnf(c_0_201,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_76,c_0_194]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_197,c_0_194]) ).
cnf(c_0_203,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_204,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_198]),
[final] ).
cnf(c_0_205,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_198]),c_0_173]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_200]) ).
cnf(c_0_207,negated_conjecture,
( product(e_2,e_1,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_201,c_0_202]),c_0_203]) ).
cnf(c_0_208,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_209,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_45,c_0_200]) ).
cnf(c_0_210,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_2,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_206,c_0_207]) ).
cnf(c_0_211,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_198]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_208]),c_0_51]) ).
cnf(c_0_213,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)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_203]) ).
cnf(c_0_214,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_118]) ).
cnf(c_0_215,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_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_198]) ).
cnf(c_0_216,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(X1,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_213]) ).
cnf(c_0_217,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_72]),
[final] ).
cnf(c_0_218,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_204,c_0_214]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_215]),c_0_203]) ).
cnf(c_0_220,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_213]) ).
cnf(c_0_221,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,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_216,c_0_207]) ).
cnf(c_0_222,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_217,c_0_68]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_218]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_204,c_0_219]) ).
cnf(c_0_225,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_132,c_0_47]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,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_220,c_0_221]),c_0_203]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_222]),
[final] ).
cnf(c_0_228,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_70]) ).
cnf(c_0_229,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_192]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_225]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(e_1,e_1,e_1)
| product(X1,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_226]) ).
cnf(c_0_232,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_233,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_180,c_0_47]),
[final] ).
cnf(c_0_234,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_173]) ).
cnf(c_0_235,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_229,c_0_176]) ).
cnf(c_0_236,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_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_185]) ).
cnf(c_0_237,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_226]) ).
cnf(c_0_238,negated_conjecture,
( product(e_1,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_231,c_0_207]) ).
cnf(c_0_239,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_232,c_0_233]),
[final] ).
cnf(c_0_240,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_45,c_0_228]) ).
cnf(c_0_241,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_234]),c_0_88]) ).
cnf(c_0_242,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_235]),c_0_81]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_185]),
[final] ).
cnf(c_0_244,negated_conjecture,
( product(e_1,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_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_236]),c_0_81]) ).
cnf(c_0_245,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_246,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_247,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_207]) ).
cnf(c_0_248,negated_conjecture,
( product(e_1,e_1,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_237,c_0_238]),c_0_203]) ).
cnf(c_0_249,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_239,c_0_188]),
[final] ).
cnf(c_0_250,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_251,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_203]) ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_228]),c_0_165]) ).
cnf(c_0_253,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_242]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_255,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]),
[final] ).
cnf(c_0_256,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_247,c_0_248]),c_0_165]) ).
cnf(c_0_257,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_249,c_0_250]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_251]),c_0_81]) ).
cnf(c_0_259,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_252]) ).
cnf(c_0_260,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_242]),
[final] ).
cnf(c_0_261,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_253,c_0_254]),c_0_118]) ).
cnf(c_0_262,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_255,c_0_256]) ).
cnf(c_0_263,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_264,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_4,X1)
| ~ greater(e_3,X1) ),
inference(spm,[status(thm)],[c_0_257,c_0_256]) ).
cnf(c_0_265,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_266,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_258]) ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_258]),c_0_70]) ).
cnf(c_0_268,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_165]),
[final] ).
cnf(c_0_269,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_262,c_0_263]) ).
cnf(c_0_270,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_246]),c_0_265])]) ).
cnf(c_0_271,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_266,c_0_267]),c_0_203]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_268]),
[final] ).
cnf(c_0_273,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_274,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_269,c_0_270]) ).
cnf(c_0_275,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_76,c_0_271]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_271]) ).
cnf(c_0_277,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_273]),
[final] ).
cnf(c_0_278,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_274,c_0_250]),c_0_51]) ).
cnf(c_0_279,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_115]) ).
cnf(c_0_280,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_277,c_0_278]) ).
cnf(c_0_281,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_271]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_279]),c_0_165]) ).
cnf(c_0_283,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_280,c_0_250]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_83]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_286,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_283,c_0_265]) ).
cnf(c_0_287,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_288,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_279]) ).
cnf(c_0_289,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_53]) ).
cnf(c_0_290,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_286,c_0_287]),c_0_203]) ).
cnf(c_0_291,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_203]) ).
cnf(c_0_292,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_269,c_0_290]) ).
cnf(c_0_293,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_294,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_149]),c_0_173]),
[final] ).
cnf(c_0_295,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_281,c_0_291]) ).
cnf(c_0_296,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_81]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_4,e_3,e_1)
| 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_45,c_0_294]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_282]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_295]),c_0_165]) ).
cnf(c_0_300,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_277,c_0_296]),
[final] ).
cnf(c_0_301,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_257,c_0_296]) ).
cnf(c_0_302,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_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_271]),c_0_129]) ).
cnf(c_0_303,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_295]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_70]) ).
cnf(c_0_305,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_300,c_0_263]),
[final] ).
cnf(c_0_306,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_301,c_0_273]),c_0_265])]) ).
cnf(c_0_307,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_281,c_0_302]),
[final] ).
cnf(c_0_308,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_303,c_0_304]),c_0_203]),
[final] ).
cnf(c_0_309,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_305,c_0_306]) ).
cnf(c_0_310,negated_conjecture,
( product(e_1,e_2,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_76,c_0_307]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_308]) ).
cnf(c_0_312,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_309,c_0_250]),c_0_53]) ).
cnf(c_0_313,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_308]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_203]) ).
cnf(c_0_315,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7,
[final] ).
cnf(c_0_316,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_305,c_0_312]) ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_2,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_110,c_0_307]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_319,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_315,c_0_218]),
[final] ).
cnf(c_0_320,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_263]),c_0_70]),
[final] ).
cnf(c_0_321,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_88]) ).
cnf(c_0_323,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_45,c_0_162]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321])]) ).
cnf(c_0_325,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_322]) ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_311]),c_0_88]) ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_250]),c_0_53]) ).
cnf(c_0_328,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_203]) ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_112]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_327]),c_0_173]) ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_328]) ).
cnf(c_0_332,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_328]),c_0_70]) ).
cnf(c_0_333,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_327]) ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_330]),c_0_88]) ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_328]) ).
cnf(c_0_336,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_81]) ).
cnf(c_0_337,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_203]) ).
cnf(c_0_338,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_327]),c_0_165]) ).
cnf(c_0_339,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_335,c_0_336]),c_0_203]),
[final] ).
cnf(c_0_340,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_315,c_0_178]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_337]),c_0_81]) ).
cnf(c_0_342,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_338]) ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_339]),c_0_165]) ).
cnf(c_0_344,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_340,c_0_296]),c_0_273])]) ).
cnf(c_0_345,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_102,c_0_48]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_341]) ).
cnf(c_0_347,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_341]),c_0_70]) ).
cnf(c_0_348,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_339]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_2,e_2,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_166,c_0_343]),c_0_88]) ).
cnf(c_0_350,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_344,c_0_263]),c_0_115]) ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(X1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_345]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_203]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(X1,e_1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_279]) ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_355,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_350]) ).
cnf(c_0_356,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)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_357,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_76,c_0_200]) ).
cnf(c_0_358,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_279]) ).
cnf(c_0_359,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_354]) ).
cnf(c_0_360,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_89]) ).
cnf(c_0_361,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_352]),
[final] ).
cnf(c_0_362,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_118]) ).
cnf(c_0_363,negated_conjecture,
( 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_45,c_0_91]),
[final] ).
cnf(c_0_364,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_357,c_0_358]),c_0_203]) ).
cnf(c_0_365,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_343]) ).
cnf(c_0_366,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_81]) ).
cnf(c_0_367,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_339]),c_0_173]) ).
cnf(c_0_368,negated_conjecture,
( product(X1,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_352]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_203]) ).
cnf(c_0_370,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_149]),
[final] ).
cnf(c_0_371,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,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_363,c_0_364]),c_0_129]) ).
cnf(c_0_372,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_53]) ).
cnf(c_0_373,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_367]) ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_185]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_376,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,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(spm,[status(thm)],[c_0_370,c_0_200]) ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(X1,e_1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_364]) ).
cnf(c_0_378,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| 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_323,c_0_371]),c_0_88]) ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_372]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_343]),c_0_70]) ).
cnf(c_0_381,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_192]),
[final] ).
cnf(c_0_382,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_70]) ).
cnf(c_0_383,negated_conjecture,
( product(e_4,e_1,e_1)
| 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)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_376]) ).
cnf(c_0_384,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_1,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_385,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_386,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_45,c_0_379]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_380]) ).
cnf(c_0_388,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_352]),
[final] ).
cnf(c_0_389,negated_conjecture,
( 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_381,c_0_382]),c_0_129]) ).
cnf(c_0_390,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_378]) ).
cnf(c_0_391,negated_conjecture,
( product(e_4,e_1,e_1)
| 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)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_81]) ).
cnf(c_0_392,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_177,c_0_225]),c_0_385])]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_81]),
[final] ).
cnf(c_0_394,negated_conjecture,
( 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_388,c_0_389]),c_0_115]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_165]) ).
cnf(c_0_396,negated_conjecture,
( product(e_4,e_1,e_1)
| 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)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_376]) ).
cnf(c_0_397,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_392,c_0_233]) ).
cnf(c_0_398,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_393]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_375]),c_0_165]) ).
cnf(c_0_400,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_394]) ).
cnf(c_0_401,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_375]),c_0_129]) ).
cnf(c_0_402,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_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_395]) ).
cnf(c_0_403,negated_conjecture,
( product(e_4,e_1,e_1)
| 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)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_371]),c_0_203]) ).
cnf(c_0_404,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(X1,e_3,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_54,c_0_397]) ).
cnf(c_0_405,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_45,c_0_393]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_398,c_0_367]) ).
cnf(c_0_407,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_399]) ).
cnf(c_0_408,negated_conjecture,
( product(e_1,e_2,e_4)
| 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_400,c_0_401]),c_0_203]) ).
cnf(c_0_409,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_162]),c_0_53]),
[final] ).
cnf(c_0_410,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_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_88]) ).
cnf(c_0_411,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_76,c_0_397]) ).
cnf(c_0_412,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,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(spm,[status(thm)],[c_0_404,c_0_397]) ).
cnf(c_0_413,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_405,c_0_406]),c_0_81]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_81]) ).
cnf(c_0_415,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_409]),
[final] ).
cnf(c_0_416,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_1,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_206,c_0_410]) ).
cnf(c_0_417,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_411,c_0_412]),c_0_118]) ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_313,c_0_413]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_1,e_2,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_414]) ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_394]),c_0_165]) ).
cnf(c_0_421,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_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_364]) ).
cnf(c_0_422,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_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_416]),c_0_144]) ).
cnf(c_0_423,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_110,c_0_417]) ).
cnf(c_0_424,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_418]),c_0_385])]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_352]),c_0_129]) ).
cnf(c_0_426,negated_conjecture,
( 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_419,c_0_420]),c_0_118]) ).
cnf(c_0_427,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_421,c_0_422]),c_0_88]) ).
cnf(c_0_428,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_409]),
[final] ).
cnf(c_0_429,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_76,c_0_413]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_423,c_0_418]),c_0_88]) ).
cnf(c_0_431,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_78,c_0_47]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(X1,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_424]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_368,c_0_425]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product(e_1,e_2,e_4)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_426]),c_0_203]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_427]) ).
cnf(c_0_436,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_427]),c_0_165]) ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_428,c_0_93]) ).
cnf(c_0_438,negated_conjecture,
( 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_363,c_0_424]),c_0_129]),
[final] ).
cnf(c_0_439,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_429,c_0_430]),c_0_165]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_431]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_112]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_433]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_95,c_0_434]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_379]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_203]) ).
cnf(c_0_446,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_119]),
[final] ).
cnf(c_0_447,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_126]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_437]),c_0_81]) ).
cnf(c_0_449,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_438,c_0_233]),
[final] ).
cnf(c_0_450,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_45,c_0_439]),
[final] ).
cnf(c_0_451,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)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_440,c_0_439]) ).
cnf(c_0_452,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,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(spm,[status(thm)],[c_0_441,c_0_233]) ).
cnf(c_0_453,negated_conjecture,
( product(X1,e_1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_434]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_203]) ).
cnf(c_0_455,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_164]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_457,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_446,c_0_447]),
[final] ).
cnf(c_0_458,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_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_448]),c_0_51]) ).
cnf(c_0_459,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,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_323,c_0_449]),c_0_88]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| 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_450,c_0_451]),c_0_118]) ).
cnf(c_0_461,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_112]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,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_423,c_0_452]),c_0_81]) ).
cnf(c_0_463,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_433]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_465,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_76,c_0_445]) ).
cnf(c_0_466,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_53]) ).
cnf(c_0_467,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_457]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_294]),
[final] ).
cnf(c_0_469,negated_conjecture,
( 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_76,c_0_91]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_428,c_0_458]) ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_45,c_0_459]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| 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_323,c_0_460]),c_0_81]) ).
cnf(c_0_473,negated_conjecture,
( product(e_2,e_3,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_461,c_0_462]),c_0_165]) ).
cnf(c_0_474,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_88]) ).
cnf(c_0_475,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_144]) ).
cnf(c_0_476,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_447]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_467,c_0_447]) ).
cnf(c_0_478,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_1,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_468,c_0_447]) ).
cnf(c_0_479,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_149]),c_0_165]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_470]),c_0_81]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_471,c_0_472]),c_0_51]) ).
cnf(c_0_482,negated_conjecture,
( product(e_2,e_2,e_2)
| 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_76,c_0_473]) ).
cnf(c_0_483,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_474]) ).
cnf(c_0_484,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_443]),c_0_88]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_1,e_1)
| product(X1,e_1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_475]) ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_487,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,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_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_476,c_0_478]) ).
cnf(c_0_488,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_479]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_480]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_481]) ).
cnf(c_0_491,negated_conjecture,
( product(e_2,e_2,e_2)
| 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_482,c_0_481]),c_0_70]) ).
cnf(c_0_492,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_203]) ).
cnf(c_0_493,negated_conjecture,
product(e_1,e_1,e_1),
inference(spm,[status(thm)],[c_0_485,c_0_475]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_486]) ).
cnf(c_0_495,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_487]),c_0_115]) ).
cnf(c_0_496,negated_conjecture,
( product(e_4,e_2,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_488,c_0_162]),c_0_53]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_489,c_0_91]),
[final] ).
cnf(c_0_498,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_490,c_0_491]),c_0_203]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_480]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_492]) ).
cnf(c_0_501,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_492]),c_0_70]) ).
cnf(c_0_502,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_493]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_53]) ).
cnf(c_0_504,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_45,c_0_496]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_476,c_0_497]) ).
cnf(c_0_506,negated_conjecture,
( product(X1,e_1,e_4)
| 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_54,c_0_498]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,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_499,c_0_459]),c_0_115]) ).
cnf(c_0_508,negated_conjecture,
( product(e_1,e_4,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_492]) ).
cnf(c_0_509,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_81]) ).
cnf(c_0_510,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,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_502,c_0_503]),c_0_144]) ).
cnf(c_0_511,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_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_480]),c_0_51]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_505]),c_0_88]) ).
cnf(c_0_513,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,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_506,c_0_507]) ).
cnf(c_0_514,negated_conjecture,
( product(e_1,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_203]),
[final] ).
cnf(c_0_515,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_76,c_0_431]),
[final] ).
cnf(c_0_516,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_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_149]) ).
cnf(c_0_517,negated_conjecture,
( product(e_4,e_3,e_1)
| 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_110,c_0_294]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_510]),c_0_165]) ).
cnf(c_0_519,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_511]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_512]),c_0_115]) ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_513]) ).
cnf(c_0_522,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_506,c_0_473]) ).
cnf(c_0_523,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_163,c_0_514]),c_0_165]) ).
cnf(c_0_524,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_515,c_0_225]),c_0_165]) ).
cnf(c_0_525,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_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_516]) ).
cnf(c_0_526,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_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_517,c_0_516]),c_0_88]) ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_518]),c_0_88]) ).
cnf(c_0_528,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_88]) ).
cnf(c_0_529,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_521,c_0_522]),c_0_203]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(X1,e_1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_514]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_523]),c_0_88]) ).
cnf(c_0_532,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(X1,e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_524]) ).
cnf(c_0_533,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_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_129]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_527]) ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_528]),c_0_144]) ).
cnf(c_0_536,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_45,c_0_417]) ).
cnf(c_0_537,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_370,c_0_529]) ).
cnf(c_0_538,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_539,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_76,c_0_524]) ).
cnf(c_0_540,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) ),
inference(spm,[status(thm)],[c_0_532,c_0_524]) ).
cnf(c_0_541,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(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_533]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_51]) ).
cnf(c_0_543,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,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(spm,[status(thm)],[c_0_446,c_0_345]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_4,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_115]) ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_538]) ).
cnf(c_0_546,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_89]) ).
cnf(c_0_547,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_539,c_0_540]),c_0_81]) ).
cnf(c_0_548,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_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_541,c_0_225]) ).
cnf(c_0_549,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_178]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_370,c_0_178]) ).
cnf(c_0_551,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_542]) ).
cnf(c_0_552,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_542]),c_0_70]) ).
cnf(c_0_553,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_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_351,c_0_543]),
[final] ).
cnf(c_0_554,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_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_123]) ).
cnf(c_0_555,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_544]),c_0_144]) ).
cnf(c_0_556,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_76,c_0_523]) ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_81]) ).
cnf(c_0_558,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_69,c_0_514]),c_0_173]) ).
cnf(c_0_559,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_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_547]) ).
cnf(c_0_560,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_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_548]),c_0_144]),
[final] ).
cnf(c_0_561,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_2,e_4)
| product(e_4,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_549,c_0_550]) ).
cnf(c_0_562,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_542]) ).
cnf(c_0_563,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_81]) ).
cnf(c_0_564,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_4)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_553]),
[final] ).
cnf(c_0_565,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_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_554]) ).
cnf(c_0_566,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_502,c_0_555]),c_0_118]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_83]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_53]) ).
cnf(c_0_569,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_558]) ).
cnf(c_0_570,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_88]),
[final] ).
cnf(c_0_571,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_102,c_0_47]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_83]),
[final] ).
cnf(c_0_573,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_1,e_1)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_561]) ).
cnf(c_0_574,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_203]),
[final] ).
cnf(c_0_575,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_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_564,c_0_345]) ).
cnf(c_0_576,negated_conjecture,
( 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_110,c_0_91]),
[final] ).
cnf(c_0_577,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_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_565,c_0_345]) ).
cnf(c_0_578,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_110,c_0_566]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_4,e_1)
| 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_567,c_0_566]),c_0_81]) ).
cnf(c_0_580,negated_conjecture,
( product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_568]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_523]),c_0_70]) ).
cnf(c_0_582,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_110,c_0_570]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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(spm,[status(thm)],[c_0_71,c_0_560]) ).
cnf(c_0_584,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_571]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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_572,c_0_560]),c_0_81]) ).
cnf(c_0_586,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_1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_561]) ).
cnf(c_0_587,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_1,e_1)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_573,c_0_561]) ).
cnf(c_0_588,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_574]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_574]),c_0_173]) ).
cnf(c_0_590,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_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_575]) ).
cnf(c_0_591,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,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_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_115]) ).
cnf(c_0_592,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_578,c_0_579]),c_0_173]),
[final] ).
cnf(c_0_593,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_580]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_581]) ).
cnf(c_0_595,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_4,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_118]) ).
cnf(c_0_596,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_45,c_0_571]),
[final] ).
cnf(c_0_597,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_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_584,c_0_119]) ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(X1,e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_585]) ).
cnf(c_0_599,negated_conjecture,
( product(e_4,e_3,e_1)
| 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_76,c_0_294]),
[final] ).
cnf(c_0_600,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_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_88]) ).
cnf(c_0_601,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_602,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_535]) ).
cnf(c_0_603,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_3)
| product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_53]) ).
cnf(c_0_604,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_45,c_0_592]),
[final] ).
cnf(c_0_605,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_1,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_468,c_0_498]) ).
cnf(c_0_606,negated_conjecture,
( product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_81]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(X1,e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_595]) ).
cnf(c_0_608,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_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_115]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| 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_76,c_0_585]) ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_598,c_0_585]) ).
cnf(c_0_611,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_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_479]),c_0_70]),
[final] ).
cnf(c_0_612,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_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_600]) ).
cnf(c_0_613,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_45,c_0_225]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_205]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_198]),c_0_165]) ).
cnf(c_0_616,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_574]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_601]),c_0_51]) ).
cnf(c_0_618,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_602]),c_0_70]) ).
cnf(c_0_619,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_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_603]),c_0_129]) ).
cnf(c_0_620,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_604,c_0_605]),c_0_88]) ).
cnf(c_0_621,negated_conjecture,
( product(X1,e_2,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_606]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_595]) ).
cnf(c_0_623,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_607,c_0_595]) ).
cnf(c_0_624,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_3,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_608]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,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_609,c_0_610]),c_0_118]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_611]),
[final] ).
cnf(c_0_627,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_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_493]),c_0_129]),
[final] ).
cnf(c_0_628,plain,
( 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_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_613,c_0_178]),c_0_70]) ).
cnf(c_0_629,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_615]),c_0_70]) ).
cnf(c_0_630,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_118]) ).
cnf(c_0_631,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_602]) ).
cnf(c_0_632,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_476,c_0_618]) ).
cnf(c_0_633,negated_conjecture,
( product(e_2,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_619]),c_0_81]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| 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_536,c_0_620]),c_0_115]) ).
cnf(c_0_635,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_606]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_621,c_0_558]) ).
cnf(c_0_637,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,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_622,c_0_623]),c_0_118]),
[final] ).
cnf(c_0_638,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_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_624,c_0_571]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(X1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_625]),
[final] ).
cnf(c_0_640,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_1)
| 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_626,c_0_571]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_91]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| 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_69,c_0_627]),c_0_70]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_628]) ).
cnf(c_0_644,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_629]),c_0_51]) ).
cnf(c_0_645,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_588,c_0_630]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_632]),c_0_203]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_633]),
[final] ).
cnf(c_0_648,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_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_440,c_0_91]) ).
cnf(c_0_649,negated_conjecture,
( product(e_4,e_3,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_110,c_0_123]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_502,c_0_634]),c_0_144]) ).
cnf(c_0_651,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,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_69,c_0_566]),c_0_70]) ).
cnf(c_0_652,negated_conjecture,
( product(e_4,e_3,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_45,c_0_123]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_81]),
[final] ).
cnf(c_0_654,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_655,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_637]),
[final] ).
cnf(c_0_656,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_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_638]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_639,c_0_149]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_640]),c_0_115]) ).
cnf(c_0_659,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_641]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_642]),
[final] ).
cnf(c_0_661,negated_conjecture,
( 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(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_627]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product(e_2,e_4,e_1)
| 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_567,c_0_627]),c_0_81]) ).
cnf(c_0_663,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,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_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_628]) ).
cnf(c_0_664,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,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_3) ),
inference(spm,[status(thm)],[c_0_643,c_0_628]) ).
cnf(c_0_665,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_615]) ).
cnf(c_0_666,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_644]),c_0_118]) ).
cnf(c_0_667,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_497]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_645]),
[final] ).
cnf(c_0_669,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_370,c_0_646]) ).
cnf(c_0_670,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_45,c_0_633]),
[final] ).
cnf(c_0_671,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_4,e_1)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_647,c_0_93]) ).
cnf(c_0_672,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)
| equalish(X1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_648]) ).
cnf(c_0_673,negated_conjecture,
( product(e_4,e_3,e_1)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_648]),c_0_88]) ).
cnf(c_0_674,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_646]),
[final] ).
cnf(c_0_675,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_502,c_0_650]),c_0_118]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_3)
| 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_45,c_0_651]) ).
cnf(c_0_677,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_271]),c_0_129]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_3,e_1,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_653]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_352]),c_0_129]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_394]) ).
cnf(c_0_681,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_177,c_0_200]),c_0_654])]) ).
cnf(c_0_682,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_180,c_0_126]),
[final] ).
cnf(c_0_683,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_45,c_0_128]) ).
cnf(c_0_684,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_45,c_0_52]) ).
cnf(c_0_685,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_45,c_0_50]) ).
cnf(c_0_686,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_76,c_0_46]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_655,c_0_149]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_625]),
[final] ).
cnf(c_0_689,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_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,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_656,c_0_657]),c_0_203]) ).
cnf(c_0_690,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_1)
| 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_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_658]) ).
cnf(c_0_691,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| 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) ),
inference(spm,[status(thm)],[c_0_659,c_0_571]) ).
cnf(c_0_692,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_3,e_2) ),
inference(spm,[status(thm)],[c_0_660,c_0_627]),
[final] ).
cnf(c_0_693,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_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_638]),
[final] ).
cnf(c_0_694,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_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_173]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| 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_663,c_0_664]),c_0_118]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_666]),c_0_81]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| 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) ),
inference(spm,[status(thm)],[c_0_667,c_0_571]) ).
cnf(c_0_698,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_574]),c_0_165]) ).
cnf(c_0_699,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_669]),c_0_115]) ).
cnf(c_0_700,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_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_671]),c_0_81]) ).
cnf(c_0_701,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_129]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_645]),
[final] ).
cnf(c_0_703,negated_conjecture,
( 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_45,c_0_119]),
[final] ).
cnf(c_0_704,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_596,c_0_498]),c_0_173]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(X1,e_1,e_2)
| 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_54,c_0_675]),
[final] ).
cnf(c_0_706,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_675]),c_0_173]),
[final] ).
cnf(c_0_707,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_76,c_0_571]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_418]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_281,c_0_677]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(X1,e_3,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_678]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_368,c_0_679]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_680,c_0_394]) ).
cnf(c_0_713,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_681,c_0_682]) ).
cnf(c_0_714,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_715,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_683,c_0_128]) ).
cnf(c_0_716,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_684,c_0_52]) ).
cnf(c_0_717,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_685,c_0_50]) ).
cnf(c_0_718,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_686,c_0_46]) ).
cnf(c_0_719,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_637]),
[final] ).
cnf(c_0_720,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_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,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_656,c_0_687]),c_0_203]) ).
cnf(c_0_721,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,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_4,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_115]) ).
cnf(c_0_722,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_1)
| 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_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_691]),c_0_203]) ).
cnf(c_0_723,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_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_692]),
[final] ).
cnf(c_0_724,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_4,e_2)
| 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_693,c_0_694]),c_0_53]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_627]),
[final] ).
cnf(c_0_726,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_3,e_2,e_4)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_549,c_0_695]),
[final] ).
cnf(c_0_727,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_696]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_697]),c_0_88]) ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_698]) ).
cnf(c_0_730,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_699]),c_0_144]),
[final] ).
cnf(c_0_731,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_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_700]),c_0_51]) ).
cnf(c_0_732,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(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_701]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_694]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_702]),
[final] ).
cnf(c_0_735,negated_conjecture,
( product(X1,e_2,e_1)
| 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_54,c_0_592]),
[final] ).
cnf(c_0_736,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)
| 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_703,c_0_704]),c_0_51]) ).
cnf(c_0_737,negated_conjecture,
( product(X1,e_2,e_4)
| 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_54,c_0_529]),
[final] ).
cnf(c_0_738,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_705,c_0_706]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product(e_4,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_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_449]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,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_446,c_0_498]) ).
cnf(c_0_741,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_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_696]),c_0_53]) ).
cnf(c_0_742,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_707,c_0_418]),c_0_173]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_708,c_0_379]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_709]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_709]),c_0_88]) ).
cnf(c_0_746,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_707,c_0_678]),c_0_173]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product(e_2,e_3,e_4)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_710,c_0_580]),
[final] ).
cnf(c_0_748,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_711]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_711]),c_0_88]) ).
cnf(c_0_750,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_514]),
[final] ).
cnf(c_0_751,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_357,c_0_712]),c_0_203]) ).
cnf(c_0_752,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_177,c_0_713]),c_0_714])]) ).
cnf(c_0_753,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_45,c_0_715]) ).
cnf(c_0_754,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_45,c_0_716]) ).
cnf(c_0_755,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_110,c_0_717]) ).
cnf(c_0_756,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_76,c_0_718]) ).
cnf(c_0_757,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_3,e_3,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_720]),c_0_115]) ).
cnf(c_0_758,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,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_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_721]),c_0_144]) ).
cnf(c_0_759,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_722]),c_0_115]) ).
cnf(c_0_760,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_2,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_724]),c_0_203]),
[final] ).
cnf(c_0_761,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_3,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) ),
inference(spm,[status(thm)],[c_0_725,c_0_724]),
[final] ).
cnf(c_0_762,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_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_726]),c_0_70]),
[final] ).
cnf(c_0_763,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_596,c_0_345]),c_0_70]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_696]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_727,c_0_123]) ).
cnf(c_0_766,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_728]),c_0_115]) ).
cnf(c_0_767,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_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_268]),c_0_70]),
[final] ).
cnf(c_0_768,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_730]),c_0_118]),
[final] ).
cnf(c_0_769,plain,
( 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_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_447]),c_0_173]),
[final] ).
cnf(c_0_770,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_647,c_0_731]) ).
cnf(c_0_771,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_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_732,c_0_431]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_694]),
[final] ).
cnf(c_0_773,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_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_123]) ).
cnf(c_0_774,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_447]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,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_734,c_0_91]) ).
cnf(c_0_776,negated_conjecture,
( 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)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_777,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| 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_54,c_0_449]),
[final] ).
cnf(c_0_778,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(spm,[status(thm)],[c_0_737,c_0_738]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_1,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_739,c_0_740]),c_0_81]) ).
cnf(c_0_780,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_741]),c_0_118]),
[final] ).
cnf(c_0_781,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_307]),
[final] ).
cnf(c_0_782,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_45,c_0_271]),
[final] ).
cnf(c_0_783,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_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_742]),c_0_51]) ).
cnf(c_0_784,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_446,c_0_743]) ).
cnf(c_0_785,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_45,c_0_413]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_744,c_0_308]) ).
cnf(c_0_787,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_745]) ).
cnf(c_0_788,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)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_746]),c_0_51]) ).
cnf(c_0_789,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_446,c_0_747]) ).
cnf(c_0_790,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_653]),
[final] ).
cnf(c_0_791,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_748,c_0_434]) ).
cnf(c_0_792,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_749]) ).
cnf(c_0_793,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_750,c_0_751]),c_0_129]) ).
cnf(c_0_794,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_45,c_0_149]),
[final] ).
cnf(c_0_795,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_752,c_0_682]) ).
cnf(c_0_796,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_797,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_753,c_0_715]) ).
cnf(c_0_798,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_754,c_0_716]) ).
cnf(c_0_799,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_755,c_0_717]) ).
cnf(c_0_800,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_756,c_0_718]) ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_637]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_3,e_3,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_757]),c_0_144]) ).
cnf(c_0_803,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,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_572,c_0_758]),c_0_81]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_759]),c_0_144]) ).
cnf(c_0_805,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_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_638]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,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_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_760]),c_0_51]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,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_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_703,c_0_761]),c_0_51]),
[final] ).
cnf(c_0_808,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_762]),c_0_51]),
[final] ).
cnf(c_0_809,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_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_703,c_0_763]),c_0_51]),
[final] ).
cnf(c_0_810,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_707,c_0_225]),c_0_173]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_764,c_0_765]),c_0_88]),
[final] ).
cnf(c_0_812,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_707,c_0_431]),c_0_70]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product(e_2,e_3,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_766]),c_0_81]),
[final] ).
cnf(c_0_814,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_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_767]),c_0_51]),
[final] ).
cnf(c_0_815,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_768]),
[final] ).
cnf(c_0_816,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_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_769]),c_0_51]),
[final] ).
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_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_770]),c_0_81]),
[final] ).
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_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_771]),
[final] ).
cnf(c_0_819,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_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_772,c_0_773]),c_0_88]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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_774,c_0_775]),c_0_144]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product(X1,e_1,e_3)
| 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_54,c_0_439]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product(e_4,e_2,e_1)
| 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_604,c_0_776]),c_0_88]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_446,c_0_268]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_777,c_0_778]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,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_604,c_0_779]),c_0_88]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_2,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_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_701]),c_0_88]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_780]),c_0_51]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_781,c_0_418]) ).
cnf(c_0_829,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,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_782,c_0_783]),c_0_144]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_782,c_0_784]),c_0_144]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_786]),c_0_115]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_413]),c_0_51]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_4,e_3,e_1)
| 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_361,c_0_788]),c_0_144]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_789]),c_0_144]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(X1,e_2,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_580]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_791]),c_0_115]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_653]),c_0_51]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_1,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_793]),c_0_173]) ).
cnf(c_0_839,negated_conjecture,
( product(e_4,e_1,e_1)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_433]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,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_794,c_0_185]),c_0_53]),
[final] ).
cnf(c_0_841,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_321]),
[final] ).
cnf(c_0_842,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_265]),
[final] ).
cnf(c_0_843,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_177,c_0_795]),c_0_796])]) ).
cnf(c_0_844,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_45,c_0_797]) ).
cnf(c_0_845,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_110,c_0_798]) ).
cnf(c_0_846,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_45,c_0_799]) ).
cnf(c_0_847,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_76,c_0_800]) ).
cnf(c_0_848,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_543]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_802]),c_0_144]),
[final] ).
cnf(c_0_850,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_3,e_1)
| product(e_3,e_1,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_100,c_0_803]),c_0_51]) ).
cnf(c_0_851,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,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_96,c_0_804]),c_0_81]),
[final] ).
cnf(c_0_852,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_4,e_2)
| 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_805,c_0_496]),c_0_70]),
[final] ).
cnf(c_0_853,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_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_806]) ).
cnf(c_0_854,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_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_807]) ).
cnf(c_0_855,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_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_1,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_808]) ).
cnf(c_0_856,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_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_3,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_608]) ).
cnf(c_0_857,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_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_809]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_695]),
[final] ).
cnf(c_0_859,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)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_533]),
[final] ).
cnf(c_0_860,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_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_703,c_0_810]),c_0_51]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_811]),
[final] ).
cnf(c_0_862,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_3,e_2,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_549,c_0_218]),
[final] ).
cnf(c_0_863,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)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_701]),
[final] ).
cnf(c_0_864,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_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_703,c_0_812]),c_0_51]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_511]),
[final] ).
cnf(c_0_866,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_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_703,c_0_813]),c_0_51]),
[final] ).
cnf(c_0_867,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_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_814]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_768]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| 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) ),
inference(spm,[status(thm)],[c_0_815,c_0_816]) ).
cnf(c_0_870,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_645]),
[final] ).
cnf(c_0_871,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_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_611]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_817]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_479]),
[final] ).
cnf(c_0_874,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_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_818,c_0_431]),
[final] ).
cnf(c_0_875,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_2,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_819]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_570]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_820]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_815,c_0_457]) ).
cnf(c_0_879,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_730]),c_0_70]) ).
cnf(c_0_880,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_379]),c_0_188])]),
[final] ).
cnf(c_0_881,negated_conjecture,
( product(e_4,e_1,e_3)
| 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(spm,[status(thm)],[c_0_821,c_0_822]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(X1,e_3,e_2)
| 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_54,c_0_738]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_823]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_821,c_0_824]),
[final] ).
cnf(c_0_885,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,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_821,c_0_825]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,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_821,c_0_459]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_72]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product(e_2,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(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_826]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,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) ),
inference(spm,[status(thm)],[c_0_727,c_0_827]) ).
cnf(c_0_890,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_780]),c_0_51]) ).
cnf(c_0_891,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_695]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_543]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_218]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_72]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_242]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_828]) ).
cnf(c_0_897,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_177,c_0_445]),c_0_796])]) ).
cnf(c_0_898,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_281,c_0_829]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_281,c_0_830]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_413]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_444,c_0_831]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_832]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_307]),
[final] ).
cnf(c_0_904,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_368,c_0_833]),
[final] ).
cnf(c_0_905,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_368,c_0_834]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product(X1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_653]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_835,c_0_836]),
[final] ).
cnf(c_0_908,negated_conjecture,
( 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_835,c_0_837]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_835,c_0_433]),
[final] ).
cnf(c_0_910,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_315,c_0_678]) ).
cnf(c_0_911,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_315,c_0_580]) ).
cnf(c_0_912,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_838]) ).
cnf(c_0_913,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_839,c_0_678]) ).
cnf(c_0_914,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_840]),
[final] ).
cnf(c_0_915,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_841,c_0_320]),
[final] ).
cnf(c_0_916,plain,
( ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_842,c_0_179]),
[final] ).
cnf(c_0_917,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_239,c_0_714]),
[final] ).
cnf(c_0_918,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_843,c_0_682]) ).
cnf(c_0_919,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_232,c_0_682]),
[final] ).
cnf(c_0_920,plain,
( product(e_1,e_4,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_844,c_0_797]) ).
cnf(c_0_921,plain,
( product(e_2,e_4,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_845,c_0_798]) ).
cnf(c_0_922,plain,
( product(e_3,e_4,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_846,c_0_799]) ).
cnf(c_0_923,plain,
( product(e_4,e_4,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_847,c_0_800]) ).
cnf(c_0_924,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
cycle1,
[final] ).
cnf(c_0_925,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_533]),c_0_173]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_849]),c_0_51]),
[final] ).
cnf(c_0_927,negated_conjecture,
( 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_3,e_1)
| product(e_3,e_1,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_703,c_0_803]),c_0_51]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,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_572,c_0_850]),c_0_81]),
[final] ).
cnf(c_0_929,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_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_851]),c_0_51]),
[final] ).
cnf(c_0_930,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_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_851]),c_0_51]),
[final] ).
cnf(c_0_931,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_4,e_2)
| product(e_4,e_1,e_1)
| 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_315,c_0_852]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| 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_315,c_0_695]),
[final] ).
cnf(c_0_933,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_2,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_772,c_0_853]),c_0_88]),
[final] ).
cnf(c_0_934,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_2,e_1)
| product(e_3,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_772,c_0_854]),c_0_88]),
[final] ).
cnf(c_0_935,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_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_772,c_0_855]),c_0_88]),
[final] ).
cnf(c_0_936,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_2,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_772,c_0_856]),c_0_88]),
[final] ).
cnf(c_0_937,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_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_2) ),
inference(spm,[status(thm)],[c_0_857,c_0_345]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_858,c_0_149]),
[final] ).
cnf(c_0_939,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_4,e_3,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_859,c_0_860]),c_0_118]),
[final] ).
cnf(c_0_940,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_861,c_0_862]),
[final] ).
cnf(c_0_941,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_3,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_863,c_0_864]),c_0_81]),
[final] ).
cnf(c_0_942,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_4)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_809]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_511]),c_0_173]),
[final] ).
cnf(c_0_944,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_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_100,c_0_763]),c_0_51]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,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_865,c_0_866]),c_0_118]),
[final] ).
cnf(c_0_946,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_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_100,c_0_813]),c_0_51]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_645]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_637]),
[final] ).
cnf(c_0_949,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_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_867,c_0_268]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,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_868,c_0_869]),c_0_88]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_870,c_0_149]),
[final] ).
cnf(c_0_952,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_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_768]),c_0_53]),
[final] ).
cnf(c_0_953,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_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_872,c_0_91]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,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_873,c_0_687]),c_0_81]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product(e_4,e_2,e_1)
| 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_3,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_657]),c_0_81]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_874]),c_0_118]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_874]),c_0_81]),
[final] ).
cnf(c_0_958,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_2,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_875,c_0_726]),
[final] ).
cnf(c_0_959,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_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_876,c_0_91]),
[final] ).
cnf(c_0_960,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_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_871,c_0_694]),c_0_53]),
[final] ).
cnf(c_0_961,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,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_211,c_0_642]),c_0_118]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,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) ),
inference(spm,[status(thm)],[c_0_272,c_0_814]),
[final] ).
cnf(c_0_963,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_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_862]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_695]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_877,c_0_702]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_868,c_0_878]),c_0_88]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_820]),c_0_88]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_645]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_879]),c_0_118]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(X1,e_2,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_880]),
[final] ).
cnf(c_0_971,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_315,c_0_881]),
[final] ).
cnf(c_0_972,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_973,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)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_533]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_4,e_3,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(spm,[status(thm)],[c_0_882,c_0_881]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,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_882,c_0_149]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,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_871,c_0_592]),c_0_53]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_883,c_0_268]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_315,c_0_884]),
[final] ).
cnf(c_0_979,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_882,c_0_884]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,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_882,c_0_885]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,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_882,c_0_886]),
[final] ).
cnf(c_0_982,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_315,c_0_738]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_637]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_637]),c_0_129]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product(e_2,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_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_888,c_0_431]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,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_764,c_0_889]),c_0_88]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_819]),c_0_88]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_211,c_0_890]),c_0_118]),
[final] ).
cnf(c_0_989,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_3,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_725,c_0_642]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_642]),c_0_144]),
[final] ).
cnf(c_0_991,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_3,e_1,e_1)
| product(X1,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_726]),
[final] ).
cnf(c_0_992,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_823]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_315,c_0_885]),
[final] ).
cnf(c_0_994,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_892,c_0_345]),
[final] ).
cnf(c_0_995,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_315,c_0_529]),
[final] ).
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_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_696]),c_0_53]),
[final] ).
cnf(c_0_997,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_893,c_0_149]),
[final] ).
cnf(c_0_998,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_198]),c_0_173]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_895,c_0_91]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_493]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_493]),c_0_129]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ cycle(e_1,e_0)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_177,c_0_897]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_315,c_0_886]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_898]),
[final] ).
cnf(c_0_1005,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_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_468,c_0_345]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_444,c_0_898]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_811]),c_0_88]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_899]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_315,c_0_831]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_315,c_0_832]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_444,c_0_899]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_900,c_0_901]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_900,c_0_902]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_900,c_0_903]),
[final] ).
cnf(c_0_1015,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_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_351,c_0_294]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_315,c_0_904]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_835,c_0_904]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product(e_2,e_4,e_3)
| 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_315,c_0_905]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product(e_1,e_4,e_2)
| 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_315,c_0_836]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_315,c_0_837]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_835,c_0_905]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_906,c_0_907]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_2,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_906,c_0_908]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_906,c_0_909]),
[final] ).
cnf(c_0_1025,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_910,c_0_321]) ).
cnf(c_0_1026,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_911,c_0_273]) ).
cnf(c_0_1027,negated_conjecture,
( product(e_3,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_913]),c_0_144]),
[final] ).
cnf(c_0_1028,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_315,c_0_838]) ).
cnf(c_0_1029,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| 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_315,c_0_840]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_895,c_0_914]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_218]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_307]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( product(e_4,e_1,e_1)
| 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_315,c_0_433]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_511]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_83]),c_0_70]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_915,c_0_250]),
[final] ).
cnf(c_0_1037,plain,
( ~ cycle(e_3,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_842,c_0_385]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_2,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_916,c_0_296]),
[final] ).
cnf(c_0_1039,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_917,c_0_250]),
[final] ).
cnf(c_0_1040,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_315,c_0_149]),
[final] ).
cnf(c_0_1041,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_315,c_0_918]) ).
cnf(c_0_1042,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_919,c_0_321]),
[final] ).
cnf(c_0_1043,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_239,c_0_246]),
[final] ).
cnf(c_0_1044,plain,
( ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_842,c_0_654]),
[final] ).
cnf(c_0_1045,plain,
( equalish(e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_920]) ).
cnf(c_0_1046,plain,
( equalish(e_2,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_921]) ).
cnf(c_0_1047,plain,
( equalish(e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_922]) ).
cnf(c_0_1048,plain,
( equalish(e_4,e_4)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_923]) ).
cnf(c_0_1049,plain,
( equalish(X1,e_0)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_924,c_0_265]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( 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)
| 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(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_925]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( 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)
| 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)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_925]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( 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)
| 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)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_925]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( 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)
| 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)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_925]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( product(e_4,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)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_806]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( product(e_4,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)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_807]),
[final] ).
cnf(c_0_1056,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_808]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| 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(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_926]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_926]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_926]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_926]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_849]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_849]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product(e_3,e_1,e_1)
| 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)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_849]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_927]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_927]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_927]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_927]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_928]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_45,c_0_928]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_110,c_0_928]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_76,c_0_928]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_45,c_0_803]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_110,c_0_803]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_76,c_0_803]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( product(e_4,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)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_806]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( product(e_4,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)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_806]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product(e_4,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)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_806]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( product(e_4,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)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_807]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product(e_4,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)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_807]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product(e_4,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)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_807]),
[final] ).
cnf(c_0_1081,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_808]),
[final] ).
cnf(c_0_1082,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_808]),
[final] ).
cnf(c_0_1083,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_808]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_929]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_930]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_929]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_929]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,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_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_929]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_930]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_930]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_930]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_45,c_0_851]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_110,c_0_851]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_76,c_0_851]),
[final] ).
cnf(c_0_1095,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_4,e_2)
| product(e_4,e_1,e_1)
| 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_931,c_0_265]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| 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_932,c_0_233]),
[final] ).
cnf(c_0_1097,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_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_933]),
[final] ).
cnf(c_0_1098,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_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_934]),
[final] ).
cnf(c_0_1099,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_935]),
[final] ).
cnf(c_0_1100,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_936]),
[final] ).
cnf(c_0_1101,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_2,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_937]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_938]),
[final] ).
cnf(c_0_1103,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_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_724]),
[final] ).
cnf(c_0_1104,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_939]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_940]),
[final] ).
cnf(c_0_1106,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_941]),
[final] ).
cnf(c_0_1107,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_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_942]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( 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)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_943]),
[final] ).
cnf(c_0_1109,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_4,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_852]),
[final] ).
cnf(c_0_1110,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_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_944]),
[final] ).
cnf(c_0_1111,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_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_933]),
[final] ).
cnf(c_0_1112,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_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_933]),
[final] ).
cnf(c_0_1113,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_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_933]),
[final] ).
cnf(c_0_1114,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_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_934]),
[final] ).
cnf(c_0_1115,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_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_934]),
[final] ).
cnf(c_0_1116,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_3,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_934]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_933]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_934]),
[final] ).
cnf(c_0_1119,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_935]),
[final] ).
cnf(c_0_1120,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_935]),
[final] ).
cnf(c_0_1121,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_935]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_1)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_935]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_945]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_946]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_866]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_945]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_945]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_945]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_946]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_946]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_946]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_866]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_866]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_866]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| 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_45,c_0_813]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| 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_110,c_0_813]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| 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_76,c_0_813]),
[final] ).
cnf(c_0_1138,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_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_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_936]),
[final] ).
cnf(c_0_1139,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_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_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_936]),
[final] ).
cnf(c_0_1140,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_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_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_936]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_936]),
[final] ).
cnf(c_0_1142,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_2,e_3,e_2)
| 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_45,c_0_760]),
[final] ).
cnf(c_0_1143,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_2,e_3,e_2)
| 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_110,c_0_760]),
[final] ).
cnf(c_0_1144,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_2,e_3,e_2)
| 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_76,c_0_760]),
[final] ).
cnf(c_0_1145,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_3,e_2,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_45,c_0_761]),
[final] ).
cnf(c_0_1146,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_3,e_2,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_110,c_0_761]),
[final] ).
cnf(c_0_1147,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_3,e_2,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_76,c_0_761]),
[final] ).
cnf(c_0_1148,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_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_937]),
[final] ).
cnf(c_0_1149,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_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_937]),
[final] ).
cnf(c_0_1150,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_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_937]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_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_45,c_0_938]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_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_110,c_0_938]),
[final] ).
cnf(c_0_1153,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_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_76,c_0_938]),
[final] ).
cnf(c_0_1154,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_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_724]),
[final] ).
cnf(c_0_1155,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_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_724]),
[final] ).
cnf(c_0_1156,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_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_724]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,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_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_762]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,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_1,e_1)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_762]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,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_1,e_1)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_762]),
[final] ).
cnf(c_0_1160,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_939]),
[final] ).
cnf(c_0_1161,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_939]),
[final] ).
cnf(c_0_1162,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_939]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,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_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_940]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,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_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_940]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,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_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_940]),
[final] ).
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_4,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_941]),
[final] ).
cnf(c_0_1167,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_941]),
[final] ).
cnf(c_0_1168,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_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_941]),
[final] ).
cnf(c_0_1169,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_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_942]),
[final] ).
cnf(c_0_1170,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_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_942]),
[final] ).
cnf(c_0_1171,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_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_942]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( 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)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_943]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( 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)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_943]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( 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)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_943]),
[final] ).
cnf(c_0_1175,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_4,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_852]),
[final] ).
cnf(c_0_1176,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_4,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_852]),
[final] ).
cnf(c_0_1177,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_4,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_852]),
[final] ).
cnf(c_0_1178,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_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_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_944]),
[final] ).
cnf(c_0_1179,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_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,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_944]),
[final] ).
cnf(c_0_1180,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_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,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_944]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_940]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,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_947,c_0_233]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,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_948,c_0_233]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_949]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_950]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_951]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_952]),
[final] ).
cnf(c_0_1188,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_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_953]),
[final] ).
cnf(c_0_1189,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_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_954]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_687]),
[final] ).
cnf(c_0_1191,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_3,e_1)
| product(e_3,e_1,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_955]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_657]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_956]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_957]),
[final] ).
cnf(c_0_1195,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_3,e_4,e_2)
| product(e_3,e_1,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_958]),
[final] ).
cnf(c_0_1196,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_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_959]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_960]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_961]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_962]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_827]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_949]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_949]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_949]),
[final] ).
cnf(c_0_1204,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_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_963,c_0_424]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| 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_964,c_0_233]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_950]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_950]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_950]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_950]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,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_45,c_0_951]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,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_110,c_0_951]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,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_76,c_0_951]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_952]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_952]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_952]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_965]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_966]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_967]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_965]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_965]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_965]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_965]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| 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_968,c_0_233]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_966]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_966]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_966]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_967]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_967]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_967]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_966]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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_45,c_0_820]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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_110,c_0_820]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| 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_76,c_0_820]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_967]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_969]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_730]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_969]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_969]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_969]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_768]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_768]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_730]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_730]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_730]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_702]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_702]),
[final] ).
cnf(c_0_1247,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_702]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_645]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_645]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_574]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_574]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_646]),
[final] ).
cnf(c_0_1253,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_646]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_646]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_646]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_646]),c_0_179])]),
[final] ).
cnf(c_0_1257,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_953]),
[final] ).
cnf(c_0_1258,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_953]),
[final] ).
cnf(c_0_1259,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_953]),
[final] ).
cnf(c_0_1260,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_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_954]),
[final] ).
cnf(c_0_1261,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_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_954]),
[final] ).
cnf(c_0_1262,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_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_954]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| 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_45,c_0_687]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| 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_110,c_0_687]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| 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_76,c_0_687]),
[final] ).
cnf(c_0_1266,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_3,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_955]),
[final] ).
cnf(c_0_1267,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_3,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_955]),
[final] ).
cnf(c_0_1268,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_3,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_955]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_45,c_0_657]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_110,c_0_657]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| 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_76,c_0_657]),
[final] ).
cnf(c_0_1272,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_956]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_956]),
[final] ).
cnf(c_0_1274,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_956]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_957]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_957]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_957]),
[final] ).
cnf(c_0_1278,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_3,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_958]),
[final] ).
cnf(c_0_1279,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_3,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_958]),
[final] ).
cnf(c_0_1280,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_3,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_958]),
[final] ).
cnf(c_0_1281,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_959]),
[final] ).
cnf(c_0_1282,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_959]),
[final] ).
cnf(c_0_1283,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_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_959]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,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_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_960]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,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_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_960]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,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_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_960]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_961]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_961]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,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_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_961]),
[final] ).
cnf(c_0_1290,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_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_872,c_0_424]),
[final] ).
cnf(c_0_1291,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_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_872,c_0_880]),
[final] ).
cnf(c_0_1292,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_45,c_0_817]),
[final] ).
cnf(c_0_1293,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_110,c_0_817]),
[final] ).
cnf(c_0_1294,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_76,c_0_817]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( product(e_3,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)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_817]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( product(e_3,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)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_817]),
[final] ).
cnf(c_0_1297,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_110,c_0_633]),
[final] ).
cnf(c_0_1298,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_76,c_0_633]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_962]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_962]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_962]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_1)
| 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(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_827]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_827]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_827]),
[final] ).
cnf(c_0_1305,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_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_814]),
[final] ).
cnf(c_0_1306,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_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_814]),
[final] ).
cnf(c_0_1307,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_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_814]),
[final] ).
cnf(c_0_1308,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_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_862]),
[final] ).
cnf(c_0_1309,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_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_862]),
[final] ).
cnf(c_0_1310,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_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_862]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_4,e_2)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_958]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_971,c_0_321]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_971,c_0_273]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_971,c_0_246]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_971,c_0_972]),
[final] ).
cnf(c_0_1316,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_4,e_2)
| product(e_4,e_1,e_1)
| 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_177,c_0_852]),c_0_265])]),
[final] ).
cnf(c_0_1317,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)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_973,c_0_265]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,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_54,c_0_974]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_3)
| 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_54,c_0_881]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| 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_54,c_0_822]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,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_54,c_0_975]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_1)
| 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_54,c_0_976]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_45,c_0_974]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_110,c_0_974]),
[final] ).
cnf(c_0_1325,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_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_974]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_45,c_0_881]),
[final] ).
cnf(c_0_1327,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_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_881]),
[final] ).
cnf(c_0_1328,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,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_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_881]),
[final] ).
cnf(c_0_1329,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_45,c_0_822]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,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_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_822]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| 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_76,c_0_822]),
[final] ).
cnf(c_0_1332,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_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_816]),
[final] ).
cnf(c_0_1333,negated_conjecture,
( 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)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_881]),c_0_265])]),
[final] ).
cnf(c_0_1334,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_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_816]),
[final] ).
cnf(c_0_1335,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_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_816]),
[final] ).
cnf(c_0_1336,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_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_816]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_319,c_0_233]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_45,c_0_975]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_110,c_0_975]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_76,c_0_975]),
[final] ).
cnf(c_0_1341,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(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_874]),
[final] ).
cnf(c_0_1342,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_2,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_692]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_977]),
[final] ).
cnf(c_0_1344,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_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_45,c_0_809]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_45,c_0_976]),
[final] ).
cnf(c_0_1346,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_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_110,c_0_809]),
[final] ).
cnf(c_0_1347,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_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_76,c_0_809]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_978,c_0_321]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_978,c_0_273]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_978,c_0_246]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_978,c_0_972]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_4,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_54,c_0_979]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( product(e_1,e_4,e_3)
| product(X1,e_4,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_54,c_0_980]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,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_54,c_0_981]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_4,e_3)
| 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_54,c_0_884]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_4,e_1)
| 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_54,c_0_824]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_45,c_0_979]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_110,c_0_979]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_76,c_0_979]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_45,c_0_980]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_110,c_0_980]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_76,c_0_980]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_45,c_0_981]),
[final] ).
cnf(c_0_1364,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_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_860]),
[final] ).
cnf(c_0_1365,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_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_981]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_76,c_0_981]),
[final] ).
cnf(c_0_1367,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_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_860]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_45,c_0_884]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_110,c_0_884]),
[final] ).
cnf(c_0_1370,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_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_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_860]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_76,c_0_884]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_45,c_0_824]),
[final] ).
cnf(c_0_1373,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_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_860]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_110,c_0_824]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( product(e_3,e_4,e_2)
| 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_76,c_0_824]),
[final] ).
cnf(c_0_1376,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_982,c_0_972]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( product(X1,e_3,e_4)
| 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_54,c_0_778]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(X1,e_3,e_1)
| 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_54,c_0_706]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( product(e_3,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_884]),c_0_265])]),
[final] ).
cnf(c_0_1380,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_45,c_0_778]),
[final] ).
cnf(c_0_1381,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_110,c_0_778]),
[final] ).
cnf(c_0_1382,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_76,c_0_778]),
[final] ).
cnf(c_0_1383,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_45,c_0_738]),
[final] ).
cnf(c_0_1384,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_110,c_0_738]),
[final] ).
cnf(c_0_1385,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_76,c_0_738]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_738]),
[final] ).
cnf(c_0_1387,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_45,c_0_706]),
[final] ).
cnf(c_0_1388,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_110,c_0_706]),
[final] ).
cnf(c_0_1389,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_76,c_0_706]),
[final] ).
cnf(c_0_1390,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_45,c_0_675]),
[final] ).
cnf(c_0_1391,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_110,c_0_675]),
[final] ).
cnf(c_0_1392,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_76,c_0_675]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,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_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_976]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_76,c_0_976]),
[final] ).
cnf(c_0_1395,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_45,c_0_704]),
[final] ).
cnf(c_0_1396,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_110,c_0_704]),
[final] ).
cnf(c_0_1397,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_76,c_0_704]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| 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_983,c_0_233]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_984]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_984]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_984]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_984]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_637]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| 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_315,c_0_625]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,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_110,c_0_625]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_625]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_625]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( product(e_2,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(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_985]),
[final] ).
cnf(c_0_1409,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_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_864]),
[final] ).
cnf(c_0_1410,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(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_874]),
[final] ).
cnf(c_0_1411,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_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_874]),
[final] ).
cnf(c_0_1412,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_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_874]),
[final] ).
cnf(c_0_1413,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_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_45,c_0_864]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_986]),
[final] ).
cnf(c_0_1415,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_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_110,c_0_864]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_987]),
[final] ).
cnf(c_0_1417,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_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_76,c_0_864]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_988]),
[final] ).
cnf(c_0_1419,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_3,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_989]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_990]),
[final] ).
cnf(c_0_1421,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_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_692]),
[final] ).
cnf(c_0_1422,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_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_692]),
[final] ).
cnf(c_0_1423,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_3,e_1,e_1)
| product(e_1,e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_991,c_0_424]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_992]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_977]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_977]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_977]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_993,c_0_321]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_993,c_0_273]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_993,c_0_246]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_993,c_0_972]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_1,e_4,e_3)
| product(X1,e_4,e_3)
| 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_54,c_0_885]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_1,e_4,e_3)
| product(X1,e_4,e_1)
| 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_54,c_0_825]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_45,c_0_885]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_110,c_0_885]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_76,c_0_885]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_45,c_0_825]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_110,c_0_825]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( product(e_1,e_4,e_3)
| 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_76,c_0_825]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( product(X1,e_2,e_3)
| 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_54,c_0_566]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( product(e_1,e_4,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_885]),c_0_265])]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( 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)
| product(e_2,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_994]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( 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)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_994]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( 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)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_994]),
[final] ).
cnf(c_0_1445,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_110,c_0_592]),
[final] ).
cnf(c_0_1446,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_76,c_0_592]),
[final] ).
cnf(c_0_1447,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_45,c_0_566]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( 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)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_994]),
[final] ).
cnf(c_0_1449,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_76,c_0_566]),
[final] ).
cnf(c_0_1450,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_995,c_0_321]),
[final] ).
cnf(c_0_1451,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_995,c_0_273]),
[final] ).
cnf(c_0_1452,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_995,c_0_246]),
[final] ).
cnf(c_0_1453,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_995,c_0_972]),
[final] ).
cnf(c_0_1454,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_45,c_0_529]),
[final] ).
cnf(c_0_1455,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_110,c_0_529]),
[final] ).
cnf(c_0_1456,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_76,c_0_529]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_529]),c_0_179])]),
[final] ).
cnf(c_0_1458,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_45,c_0_498]),
[final] ).
cnf(c_0_1459,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_110,c_0_498]),
[final] ).
cnf(c_0_1460,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_76,c_0_498]),
[final] ).
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(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_560]),
[final] ).
cnf(c_0_1462,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_45,c_0_570]),
[final] ).
cnf(c_0_1463,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_76,c_0_570]),
[final] ).
cnf(c_0_1464,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_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_560]),
[final] ).
cnf(c_0_1465,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,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_560]),
[final] ).
cnf(c_0_1466,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(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_560]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_570]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( product(e_2,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(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_985]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( product(e_2,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_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_985]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_2,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(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_985]),
[final] ).
cnf(c_0_1471,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_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_771]),
[final] ).
cnf(c_0_1472,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_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_771]),
[final] ).
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)
| product(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_771]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_771]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_4,e_1,e_3)
| 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_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_771]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_996]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_997]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_998]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_999]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(e_1,e_4,e_1)
| 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(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_986]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_986]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_986]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_986]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_986]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_987]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_987]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_987]),
[final] ).
cnf(c_0_1488,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_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_819]),
[final] ).
cnf(c_0_1489,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_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_819]),
[final] ).
cnf(c_0_1490,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_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_819]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_987]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_45,c_0_988]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_110,c_0_988]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_76,c_0_988]),
[final] ).
cnf(c_0_1495,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_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_989]),
[final] ).
cnf(c_0_1496,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_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_989]),
[final] ).
cnf(c_0_1497,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_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_989]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_990]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_990]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_990]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_642]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_642]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_642]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_694]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( 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(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_694]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_627]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_627]),
[final] ).
cnf(c_0_1508,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_1000,c_0_682]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_1001]),
[final] ).
cnf(c_0_1510,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_45,c_0_1001]),
[final] ).
cnf(c_0_1511,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_110,c_0_1001]),
[final] ).
cnf(c_0_1512,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_76,c_0_1001]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_493]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_493]),
[final] ).
cnf(c_0_1515,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_1002,c_0_682]),
[final] ).
cnf(c_0_1516,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_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_726]),
[final] ).
cnf(c_0_1517,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_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_726]),
[final] ).
cnf(c_0_1518,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_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_726]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(e_3,e_1,e_1)
| 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_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_695]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_695]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_640]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_640]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_640]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_45,c_0_780]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_110,c_0_780]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_76,c_0_780]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_640]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_992]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_992]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_992]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_823]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_823]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_823]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_767]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_767]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_767]),
[final] ).
cnf(c_0_1537,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)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_533]),
[final] ).
cnf(c_0_1538,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)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_533]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( product(e_2,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_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_826]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( product(e_2,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_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_826]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(e_2,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_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_826]),
[final] ).
cnf(c_0_1542,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)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_701]),
[final] ).
cnf(c_0_1543,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)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_701]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_996]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_1003,c_0_321]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_1003,c_0_273]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_1003,c_0_246]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_1003,c_0_972]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,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)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_826]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,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)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_826]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1004,c_0_265]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_3)
| 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_54,c_0_886]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| 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_54,c_0_459]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1005]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1005]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1005]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1005]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1006]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_898]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_829]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_45,c_0_886]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_110,c_0_886]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_76,c_0_886]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_110,c_0_459]),
[final] ).
cnf(c_0_1565,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_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_459]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( product(e_4,e_2,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_449]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( product(e_4,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_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_449]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_1006]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1006]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_1006]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_898]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_898]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_76,c_0_898]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_829]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_829]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_829]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_898]),c_0_265])]),
[final] ).
cnf(c_0_1578,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_45,c_0_742]),
[final] ).
cnf(c_0_1579,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_110,c_0_742]),
[final] ).
cnf(c_0_1580,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_76,c_0_742]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_1007]),
[final] ).
cnf(c_0_1582,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)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_440,c_0_424]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_1007]),
[final] ).
cnf(c_0_1584,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)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_440,c_0_880]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1008,c_0_265]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_1009,c_0_265]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_1010,c_0_265]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( product(e_2,e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_886]),c_0_265])]),
[final] ).
cnf(c_0_1589,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_110,c_0_439]),
[final] ).
cnf(c_0_1590,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_76,c_0_439]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1011]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_899]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_830]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1012]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1013]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1014]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_901]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_831]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_902]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_832]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_903]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_1011]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1011]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_1011]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_899]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_899]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_899]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_830]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_830]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_830]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_899]),c_0_265])]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1012]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1012]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1012]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1013]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1013]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1013]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_1,e_2,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_45,c_0_1014]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( product(e_1,e_2,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_110,c_0_1014]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_1,e_2,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_76,c_0_1014]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_901]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_901]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_901]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_831]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_831]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_831]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_902]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_902]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_902]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_832]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_832]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_832]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_903]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_903]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_903]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_432,c_0_480]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_489,c_0_424]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_424]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_480]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_970,c_0_112]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_489,c_0_880]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_880]),
[final] ).
cnf(c_0_1643,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_315,c_0_418]),
[final] ).
cnf(c_0_1644,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_315,c_0_379]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_743]),
[final] ).
cnf(c_0_1646,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_45,c_0_743]),
[final] ).
cnf(c_0_1647,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_110,c_0_743]),
[final] ).
cnf(c_0_1648,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_76,c_0_743]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_831]),c_0_265])]),
[final] ).
cnf(c_0_1650,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_45,c_0_418]),
[final] ).
cnf(c_0_1651,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_110,c_0_418]),
[final] ).
cnf(c_0_1652,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_76,c_0_418]),
[final] ).
cnf(c_0_1653,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_110,c_0_413]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_424]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_2,X1)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_424]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_832]),c_0_265])]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_424]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ cycle(e_3,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_424]),c_0_53]),
[final] ).
cnf(c_0_1659,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_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_553]),
[final] ).
cnf(c_0_1660,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_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_553]),
[final] ).
cnf(c_0_1661,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_110,c_0_393]),
[final] ).
cnf(c_0_1662,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_76,c_0_393]),
[final] ).
cnf(c_0_1663,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_110,c_0_379]),
[final] ).
cnf(c_0_1664,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_76,c_0_379]),
[final] ).
cnf(c_0_1665,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_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_553]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_880]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_2,X1)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_880]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,X1,e_3)
| ~ cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_880]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_880]),c_0_129]),
[final] ).
cnf(c_0_1670,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_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1015]),
[final] ).
cnf(c_0_1671,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_45,c_0_339]),
[final] ).
cnf(c_0_1672,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_110,c_0_339]),
[final] ).
cnf(c_0_1673,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_76,c_0_339]),
[final] ).
cnf(c_0_1674,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_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1015]),
[final] ).
cnf(c_0_1675,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_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1015]),
[final] ).
cnf(c_0_1676,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_4)
| 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_76,c_0_1015]),
[final] ).
cnf(c_0_1677,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_45,c_0_308]),
[final] ).
cnf(c_0_1678,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_110,c_0_308]),
[final] ).
cnf(c_0_1679,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_76,c_0_308]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_268]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_268]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_268]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_996]),
[final] ).
cnf(c_0_1684,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_996]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_45,c_0_997]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_110,c_0_997]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_76,c_0_997]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_998]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_998]),
[final] ).
cnf(c_0_1690,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_998]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| 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_45,c_0_999]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| 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_110,c_0_999]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| 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_76,c_0_999]),
[final] ).
cnf(c_0_1694,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)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_533]),c_0_265])]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1016,c_0_321]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1016,c_0_273]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1016,c_0_246]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1016,c_0_972]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1017]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_904]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_833]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_1017]),
[final] ).
cnf(c_0_1703,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_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1017]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_1017]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_904]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_904]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_904]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_833]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_833]),
[final] ).
cnf(c_0_1710,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_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_833]),
[final] ).
cnf(c_0_1711,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_904]),c_0_265])]),
[final] ).
cnf(c_0_1712,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_45,c_0_746]),
[final] ).
cnf(c_0_1713,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_110,c_0_746]),
[final] ).
cnf(c_0_1714,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_76,c_0_746]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1018,c_0_321]),
[final] ).
cnf(c_0_1716,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1018,c_0_273]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1018,c_0_246]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1018,c_0_972]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1019,c_0_321]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1019,c_0_273]),
[final] ).
cnf(c_0_1721,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1019,c_0_246]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1019,c_0_972]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_321]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_273]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_246]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_972]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1021]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_905]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_834]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1022]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1023]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_4,e_1,e_1)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1024]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_4,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_907]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_836]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_908]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_837]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( product(e_4,e_1,e_1)
| product(X1,e_4,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_909]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_1021]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1021]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_1021]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_905]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_905]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_905]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_834]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_834]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_834]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( product(e_2,e_4,e_3)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_905]),c_0_265])]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1022]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1022]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1022]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1023]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1023]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1023]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1024]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1024]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1024]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_907]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_907]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_907]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_836]),
[final] ).
cnf(c_0_1761,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_836]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_836]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_908]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_908]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_908]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_837]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_837]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( product(e_2,e_2,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_837]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_909]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_909]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_909]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_1025,c_0_320]),
[final] ).
cnf(c_0_1773,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_1026,c_0_296]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( product(X1,e_2,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_747]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( product(X1,e_3,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_1027]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_747]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_747]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_747]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_1027]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1027]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_1027]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_836]),c_0_265])]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_678]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_678]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_678]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_653]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_653]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( product(e_2,e_2,e_1)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_837]),c_0_265])]),
[final] ).
cnf(c_0_1789,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_177,c_0_678]),c_0_385])]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_606]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_606]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_580]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_580]),
[final] ).
cnf(c_0_1794,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_177,c_0_580]),c_0_188])]),
[final] ).
cnf(c_0_1795,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_1028,c_0_321]),
[final] ).
cnf(c_0_1796,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_1028,c_0_273]),
[final] ).
cnf(c_0_1797,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_1028,c_0_246]),
[final] ).
cnf(c_0_1798,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_1028,c_0_972]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_514]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_514]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_434]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_434]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_434]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| 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_1029,c_0_265]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_677]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1007]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_205]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_1030]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_914]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_840]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| 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_1031,c_0_233]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_45,c_0_709]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_110,c_0_709]),
[final] ).
cnf(c_0_1814,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_76,c_0_709]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_677]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_677]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_677]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1007]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1007]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1007]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,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_45,c_0_811]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,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_110,c_0_811]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1032,c_0_265]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_307]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_307]),c_0_265])]),
[final] ).
cnf(c_0_1826,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_110,c_0_271]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,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_76,c_0_811]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_696]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_696]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_679]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_711]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_711]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_711]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_679]),
[final] ).
cnf(c_0_1835,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_679]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_679]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1033,c_0_321]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1033,c_0_273]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1033,c_0_246]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1033,c_0_972]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_433]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_433]),c_0_265])]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_352]),
[final] ).
cnf(c_0_1844,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_769]),
[final] ).
cnf(c_0_1845,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_769]),
[final] ).
cnf(c_0_1846,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_769]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_218]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_218]),
[final] ).
cnf(c_0_1849,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_45,c_0_763]),
[final] ).
cnf(c_0_1850,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_110,c_0_763]),
[final] ).
cnf(c_0_1851,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_76,c_0_763]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_205]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_205]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_198]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_198]),
[final] ).
cnf(c_0_1856,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_45,c_0_810]),
[final] ).
cnf(c_0_1857,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_110,c_0_810]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1030]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1030]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1030]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_914]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_914]),
[final] ).
cnf(c_0_1863,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_76,c_0_810]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_914]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_840]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_840]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_840]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_315,c_0_185]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_242]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_192]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_185]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_840]),c_0_265])]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_185]),c_0_188])]),
[final] ).
cnf(c_0_1874,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_45,c_0_812]),
[final] ).
cnf(c_0_1875,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_110,c_0_812]),
[final] ).
cnf(c_0_1876,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_76,c_0_812]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_176]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_176]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_164]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( 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_110,c_0_164]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_457]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,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_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_497]),
[final] ).
cnf(c_0_1883,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| 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_110,c_0_497]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,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_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_497]),
[final] ).
cnf(c_0_1885,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1034,c_0_265]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_457]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_511]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_496]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_457]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_511]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_480]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_480]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_511]),c_0_265])]),
[final] ).
cnf(c_0_1894,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_110,c_0_496]),
[final] ).
cnf(c_0_1895,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_76,c_0_496]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_409]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_409]),
[final] ).
cnf(c_0_1898,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_110,c_0_162]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_543]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_4,e_3,e_1)
| 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)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_543]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_45,c_0_641]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_110,c_0_641]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| 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_76,c_0_641]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_1035]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_112]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1035]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_1035]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_1035]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_89]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_222]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_222]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_222]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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_45,c_0_73]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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_110,c_0_73]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,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_76,c_0_73]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_72]),
[final] ).
cnf(c_0_1917,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_110,c_0_68]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_93]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_93]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_93]),
[final] ).
cnf(c_0_1921,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_110,c_0_67]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_1036,c_0_265]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_1,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1037,c_0_320]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_305,c_0_320]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_924,c_0_320]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1038,c_0_273]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( cycle(e_2,e_1)
| ~ cycle(X1,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1038,c_0_796]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_924,c_0_296]),
[final] ).
cnf(c_0_1929,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_4,e_2)
| product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_638]),
[final] ).
cnf(c_0_1930,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_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_608]),
[final] ).
cnf(c_0_1931,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_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_608]),
[final] ).
cnf(c_0_1932,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_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_608]),
[final] ).
cnf(c_0_1933,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_1039,c_0_682]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_479]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_123]),
[final] ).
cnf(c_0_1936,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_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_611]),
[final] ).
cnf(c_0_1937,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_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_611]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_479]),
[final] ).
cnf(c_0_1939,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_315,c_0_225]),
[final] ).
cnf(c_0_1940,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_1040,c_0_265]),
[final] ).
cnf(c_0_1941,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_76,c_0_149]),
[final] ).
cnf(c_0_1942,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_177,c_0_149]),c_0_265])]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( product(e_4,e_3,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_76,c_0_123]),
[final] ).
cnf(c_0_1944,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_178]),
[final] ).
cnf(c_0_1945,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_178]),
[final] ).
cnf(c_0_1946,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_178]),
[final] ).
cnf(c_0_1947,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_110,c_0_225]),
[final] ).
cnf(c_0_1948,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_76,c_0_225]),
[final] ).
cnf(c_0_1949,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_45,c_0_431]),
[final] ).
cnf(c_0_1950,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_110,c_0_431]),
[final] ).
cnf(c_0_1951,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_447]),
[final] ).
cnf(c_0_1952,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_447]),
[final] ).
cnf(c_0_1953,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_45,c_0_345]),
[final] ).
cnf(c_0_1954,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_110,c_0_345]),
[final] ).
cnf(c_0_1955,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_76,c_0_345]),
[final] ).
cnf(c_0_1956,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_110,c_0_571]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( 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_110,c_0_119]),
[final] ).
cnf(c_0_1958,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_1041,c_0_972]),
[final] ).
cnf(c_0_1959,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_1042,c_0_293]),
[final] ).
cnf(c_0_1960,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_1043,c_0_250]),
[final] ).
cnf(c_0_1961,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_110,c_0_46]),
[final] ).
cnf(c_0_1962,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_1044,c_0_682]),
[final] ).
cnf(c_0_1963,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_1037,c_0_233]),
[final] ).
cnf(c_0_1964,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_924,c_0_682]),
[final] ).
cnf(c_0_1965,plain,
( ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_842,c_0_972]),
[final] ).
cnf(c_0_1966,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_924,c_0_233]),
[final] ).
cnf(c_0_1967,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_972]),
[final] ).
cnf(c_0_1968,plain,
equalish(e_1,e_1),
inference(spm,[status(thm)],[c_0_1045,c_0_920]),
[final] ).
cnf(c_0_1969,plain,
equalish(e_2,e_2),
inference(spm,[status(thm)],[c_0_1046,c_0_921]),
[final] ).
cnf(c_0_1970,plain,
equalish(e_3,e_3),
inference(spm,[status(thm)],[c_0_1047,c_0_922]),
[final] ).
cnf(c_0_1971,plain,
equalish(e_4,e_4),
inference(spm,[status(thm)],[c_0_1048,c_0_923]),
[final] ).
cnf(c_0_1972,plain,
equalish(e_0,e_0),
inference(spm,[status(thm)],[c_0_1049,c_0_265]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-3.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 18:23:36 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 9.21/5.94 % Version : CSE_E---1.7
% 9.21/5.94 % Problem : theBenchmark.p
% 9.21/5.94 % SZS status Satisfiable for theBenchmark.p
% 9.21/5.94 % SZS output start Saturation
% See solution above
% 9.21/5.98 % Total time : 4.377s
%------------------------------------------------------------------------------