%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP123-8.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:23:56 PM UTC 2026
% Result : Satisfiable 3.42s 3.00s
% Output : Saturation 3.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(product1_total_function1,axiom,
( product1(X1,X2,e_1)
| product1(X1,X2,e_2)
| product1(X1,X2,e_3)
| product1(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(product1_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(product1_idempotence,axiom,
product1(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product2_total_function1,axiom,
( product2(X1,X2,e_1)
| product2(X1,X2,e_2)
| product2(X1,X2,e_3)
| product2(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(product1_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(product2_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_left_cancellation) ).
cnf(product2_idempotence,axiom,
product2(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(qg1a,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
cnf(product2_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_right_cancellation) ).
cnf(product2_total_function2,axiom,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(cycle2,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle2) ).
cnf(cycle5,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle5) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle3) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(product1_total_function2,axiom,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function2) ).
cnf(cycle1,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(cycle4,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle4) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(c_0_48,axiom,
( product1(X1,X2,e_1)
| product1(X1,X2,e_2)
| product1(X1,X2,e_3)
| product1(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product1_total_function1,
[final] ).
cnf(c_0_49,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_50,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_51,axiom,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
product1_left_cancellation,
[final] ).
cnf(c_0_52,axiom,
product1(X1,X1,X1),
product1_idempotence,
[final] ).
cnf(c_0_53,plain,
( product1(e_3,X1,e_4)
| product1(e_3,X1,e_3)
| product1(e_3,X1,e_2)
| product1(e_3,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_54,axiom,
( product2(X1,X2,e_1)
| product2(X1,X2,e_2)
| product2(X1,X2,e_3)
| product2(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product2_total_function1,
[final] ).
cnf(c_0_55,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_56,axiom,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
product1_right_cancellation,
[final] ).
cnf(c_0_57,plain,
( product1(e_4,X1,e_4)
| product1(e_4,X1,e_3)
| product1(e_4,X1,e_2)
| product1(e_4,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_50]),
[final] ).
cnf(c_0_58,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_59,plain,
( equalish(X1,X2)
| ~ product1(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_60,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_61,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_62,axiom,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
product2_left_cancellation,
[final] ).
cnf(c_0_63,axiom,
product2(X1,X1,X1),
product2_idempotence,
[final] ).
cnf(c_0_64,plain,
( product2(e_2,X1,e_4)
| product2(e_2,X1,e_3)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_65,plain,
( equalish(X1,X2)
| ~ product1(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_52]),
[final] ).
cnf(c_0_66,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_68,plain,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_69,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_70,plain,
( product1(e_2,X1,e_4)
| product1(e_2,X1,e_3)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_55]),
[final] ).
cnf(c_0_71,plain,
( equalish(X1,X2)
| ~ product2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_72,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_50]) ).
cnf(c_0_73,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_74,plain,
( product2(e_1,X1,e_4)
| product2(e_1,X1,e_3)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_58]),
[final] ).
cnf(c_0_75,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
qg1a,
[final] ).
cnf(c_0_76,plain,
( product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),
[final] ).
cnf(c_0_77,axiom,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
product2_right_cancellation,
[final] ).
cnf(c_0_78,plain,
( product2(e_4,X1,e_4)
| product2(e_4,X1,e_3)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_50]),
[final] ).
cnf(c_0_79,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_69]),
[final] ).
cnf(c_0_80,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_50]) ).
cnf(c_0_81,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_82,plain,
( product1(e_1,X1,e_4)
| product1(e_1,X1,e_3)
| product1(e_1,X1,e_2)
| product1(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_58]),
[final] ).
cnf(c_0_83,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_84,plain,
( product2(e_3,X1,e_4)
| product2(e_3,X1,e_3)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_49]),
[final] ).
cnf(c_0_85,plain,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),
[final] ).
cnf(c_0_86,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_50]) ).
cnf(c_0_87,axiom,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
product2_total_function2,
[final] ).
cnf(c_0_88,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]),
[final] ).
cnf(c_0_89,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_53,c_0_58]),
[final] ).
cnf(c_0_90,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]),
[final] ).
cnf(c_0_91,plain,
( equalish(X1,X2)
| ~ product2(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_63]),
[final] ).
cnf(c_0_92,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_55]) ).
cnf(c_0_93,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_79]),
[final] ).
cnf(c_0_94,plain,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_80]),c_0_73]),
[final] ).
cnf(c_0_95,plain,
( product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_81]),c_0_61]) ).
cnf(c_0_96,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_50]) ).
cnf(c_0_97,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_83]),c_0_73]),
[final] ).
cnf(c_0_98,plain,
( product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_55]),
[final] ).
cnf(c_0_99,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_85]),
[final] ).
cnf(c_0_100,plain,
( product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_86]),c_0_67]),
[final] ).
cnf(c_0_101,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_102,plain,
( equalish(X1,X2)
| ~ product2(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_63]),
[final] ).
cnf(c_0_103,negated_conjecture,
( product2(e_3,e_3,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_104,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_105,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_49]),
[final] ).
cnf(c_0_106,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_90]),
[final] ).
cnf(c_0_107,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_55]),
[final] ).
cnf(c_0_108,plain,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_73]),
[final] ).
cnf(c_0_109,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_58]) ).
cnf(c_0_110,negated_conjecture,
( product2(e_2,e_2,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_111,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_112,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_95]),c_0_69]),
[final] ).
cnf(c_0_113,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_94]),
[final] ).
cnf(c_0_114,plain,
( product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_96]),c_0_67]),
[final] ).
cnf(c_0_115,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_97]),
[final] ).
cnf(c_0_116,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_98]),
[final] ).
cnf(c_0_117,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_55]),
[final] ).
cnf(c_0_118,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_50]) ).
cnf(c_0_119,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_120,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),
[final] ).
cnf(c_0_121,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_105]),
[final] ).
cnf(c_0_122,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_49]),
[final] ).
cnf(c_0_123,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_104]) ).
cnf(c_0_124,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_125,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_108]),
[final] ).
cnf(c_0_126,plain,
( product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_109]),c_0_67]),
[final] ).
cnf(c_0_127,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_98]),
[final] ).
cnf(c_0_128,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_58]),
[final] ).
cnf(c_0_129,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_110]),c_0_111]),
[final] ).
cnf(c_0_130,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_3,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_112]),
[final] ).
cnf(c_0_131,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_101]) ).
cnf(c_0_132,negated_conjecture,
( product2(e_3,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_90]) ).
cnf(c_0_133,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_105]),
[final] ).
cnf(c_0_134,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_58]),
[final] ).
cnf(c_0_135,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_104]) ).
cnf(c_0_136,plain,
( product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_118]),c_0_61]) ).
cnf(c_0_137,plain,
( product2(e_2,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_119]),c_0_111]),
[final] ).
cnf(c_0_138,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_120]),
[final] ).
cnf(c_0_139,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_89]),
[final] ).
cnf(c_0_140,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_49]),
[final] ).
cnf(c_0_141,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_101]) ).
cnf(c_0_142,plain,
( product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_123]),c_0_124]) ).
cnf(c_0_143,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_144,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_101]) ).
cnf(c_0_145,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_101]) ).
cnf(c_0_146,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_129]),
[final] ).
cnf(c_0_147,negated_conjecture,
( product2(e_2,e_2,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_105]) ).
cnf(c_0_148,plain,
( product1(e_2,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_131]),c_0_111]),
[final] ).
cnf(c_0_149,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_132]),c_0_124]) ).
cnf(c_0_150,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_104]) ).
cnf(c_0_151,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_135]),c_0_124]) ).
cnf(c_0_152,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_136]),c_0_69]),
[final] ).
cnf(c_0_153,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_137]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_138,c_0_89]),
[final] ).
cnf(c_0_155,negated_conjecture,
( product2(X1,X2,X1)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_52]),
[final] ).
cnf(c_0_156,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_124]) ).
cnf(c_0_157,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_140]),
[final] ).
cnf(c_0_158,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_49]),
[final] ).
cnf(c_0_159,plain,
( product2(e_4,e_3,e_1)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_49]) ).
cnf(c_0_160,plain,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_141]),c_0_124]) ).
cnf(c_0_161,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_107]),
[final] ).
cnf(c_0_162,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_142]),c_0_143]),
[final] ).
cnf(c_0_163,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_144]),c_0_111]),
[final] ).
cnf(c_0_164,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_145]),c_0_124]) ).
cnf(c_0_165,negated_conjecture,
( product2(e_1,e_2,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_146,c_0_94]),
[final] ).
cnf(c_0_166,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_147]),c_0_143]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_148]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_149]),c_0_111]),
[final] ).
cnf(c_0_169,plain,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_150]),c_0_124]) ).
cnf(c_0_170,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_151]),c_0_143]),
[final] ).
cnf(c_0_171,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_152]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_61]),c_0_155]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_134]),
[final] ).
cnf(c_0_174,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_156]),c_0_104]),
[final] ).
cnf(c_0_175,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_101]) ).
cnf(c_0_176,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_90]),
[final] ).
cnf(c_0_177,plain,
( product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_159]),c_0_61]) ).
cnf(c_0_178,negated_conjecture,
( product2(e_4,X1,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_122]),
[final] ).
cnf(c_0_179,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_160]),c_0_143]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product2(e_4,e_3,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]),
[final] ).
cnf(c_0_181,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_163]),
[final] ).
cnf(c_0_182,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_164]),c_0_143]),
[final] ).
cnf(c_0_183,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_165]),
[final] ).
cnf(c_0_184,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_185,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_166]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_167,c_0_79]),
[final] ).
cnf(c_0_187,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_168]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_114]),
[final] ).
cnf(c_0_189,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_128]),
[final] ).
cnf(c_0_190,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_58]),
[final] ).
cnf(c_0_191,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_140]),
[final] ).
cnf(c_0_192,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_169]),c_0_143]),
[final] ).
cnf(c_0_193,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_170]),
[final] ).
cnf(c_0_194,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_104]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product2(e_4,e_3,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]),
[final] ).
cnf(c_0_196,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_175]),c_0_124]) ).
cnf(c_0_197,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_89]),c_0_101]) ).
cnf(c_0_198,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_112]),
[final] ).
cnf(c_0_199,plain,
( product2(e_4,e_3,e_1)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_177]),c_0_69]),
[final] ).
cnf(c_0_200,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_126]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product2(e_4,e_2,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]),
[final] ).
cnf(c_0_202,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_203,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_180]),
[final] ).
cnf(c_0_204,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_61]),
[final] ).
cnf(c_0_205,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_129]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_98]),c_0_184]) ).
cnf(c_0_207,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_165]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product2(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_185,c_0_105]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_186]),
[final] ).
cnf(c_0_210,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_187,c_0_90]),
[final] ).
cnf(c_0_211,negated_conjecture,
( product2(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_188,c_0_148]),
[final] ).
cnf(c_0_212,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_124]) ).
cnf(c_0_213,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_190]),c_0_104]) ).
cnf(c_0_214,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_192]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_111]) ).
cnf(c_0_216,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_217,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_195]),
[final] ).
cnf(c_0_218,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_196]),c_0_143]),
[final] ).
cnf(c_0_219,plain,
( product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_197]),c_0_124]) ).
cnf(c_0_220,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_120]),c_0_104]),
[final] ).
cnf(c_0_221,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_97]),
[final] ).
cnf(c_0_222,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_199]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_104]) ).
cnf(c_0_225,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_162]),c_0_73]) ).
cnf(c_0_226,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_166]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_206]),c_0_124]) ).
cnf(c_0_228,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_61]) ).
cnf(c_0_229,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_108]),
[final] ).
cnf(c_0_230,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_148]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_73]) ).
cnf(c_0_232,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_211]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product2(e_3,e_2,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_134]),
[final] ).
cnf(c_0_234,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_152]),
[final] ).
cnf(c_0_235,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_212]),c_0_104]),
[final] ).
cnf(c_0_236,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_213]),c_0_124]) ).
cnf(c_0_237,negated_conjecture,
( product2(e_1,e_4,e_3)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_214,c_0_112]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_215]),c_0_216]),
[final] ).
cnf(c_0_239,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_73]),c_0_155]) ).
cnf(c_0_240,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_219]),c_0_143]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_220]),
[final] ).
cnf(c_0_242,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_76]),c_0_101]) ).
cnf(c_0_243,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_104]),
[final] ).
cnf(c_0_244,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_199]),
[final] ).
cnf(c_0_245,plain,
( product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_204]),c_0_104]),
[final] ).
cnf(c_0_246,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_224]),c_0_216]) ).
cnf(c_0_247,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_225]),c_0_111]),
[final] ).
cnf(c_0_248,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_168]),c_0_124]) ).
cnf(c_0_249,negated_conjecture,
( product2(e_3,e_2,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_227]),c_0_143]),
[final] ).
cnf(c_0_250,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_228]),c_0_111]),
[final] ).
cnf(c_0_251,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_208]),c_0_67]) ).
cnf(c_0_252,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_143]) ).
cnf(c_0_253,negated_conjecture,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_128]),c_0_101]) ).
cnf(c_0_254,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_233]),
[final] ).
cnf(c_0_255,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_67]),
[final] ).
cnf(c_0_256,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_236]),c_0_143]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_237]),c_0_101]) ).
cnf(c_0_258,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_238]),c_0_67]) ).
cnf(c_0_259,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_239]),c_0_104]),
[final] ).
cnf(c_0_260,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_240]),
[final] ).
cnf(c_0_261,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_179]),c_0_73]) ).
cnf(c_0_262,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_242]),c_0_111]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_154]),
[final] ).
cnf(c_0_264,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_243]),
[final] ).
cnf(c_0_265,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_170]),c_0_61]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product2(e_4,e_3,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_210]),c_0_67]),
[final] ).
cnf(c_0_267,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_245]),
[final] ).
cnf(c_0_268,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_246]),c_0_104]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_247]),
[final] ).
cnf(c_0_270,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_248]),c_0_124]) ).
cnf(c_0_271,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_249]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_250]),
[final] ).
cnf(c_0_273,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_251]),c_0_111]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_252]),c_0_124]) ).
cnf(c_0_275,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_122]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_253]),c_0_104]),
[final] ).
cnf(c_0_277,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_278,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_111]) ).
cnf(c_0_279,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_256]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_257]),c_0_111]),
[final] ).
cnf(c_0_281,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_182]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_258]),c_0_111]),
[final] ).
cnf(c_0_283,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_256]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_259]),c_0_67]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_97]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_261]),c_0_216]) ).
cnf(c_0_287,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_247]),
[final] ).
cnf(c_0_288,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_262]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_245]),c_0_111]) ).
cnf(c_0_290,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_256]),c_0_73]) ).
cnf(c_0_291,plain,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_255]),c_0_111]) ).
cnf(c_0_292,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_265]),c_0_104]) ).
cnf(c_0_293,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_266]),
[final] ).
cnf(c_0_294,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_218]),c_0_73]) ).
cnf(c_0_295,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_218]),c_0_73]) ).
cnf(c_0_296,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_137]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_268]),c_0_67]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_269,c_0_79]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_270]),c_0_143]),
[final] ).
cnf(c_0_300,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_148]),
[final] ).
cnf(c_0_301,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_255]),c_0_111]) ).
cnf(c_0_302,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_240]),c_0_73]) ).
cnf(c_0_303,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_79]),
[final] ).
cnf(c_0_304,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_273]),
[final] ).
cnf(c_0_305,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_274]),c_0_143]),
[final] ).
cnf(c_0_306,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_158]),
[final] ).
cnf(c_0_307,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_211]),
[final] ).
cnf(c_0_308,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_107]),c_0_124]) ).
cnf(c_0_309,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_186]),
[final] ).
cnf(c_0_310,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_276]),c_0_67]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_165]),
[final] ).
cnf(c_0_312,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_313,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_277,c_0_55]),
[final] ).
cnf(c_0_314,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_277,c_0_49]),
[final] ).
cnf(c_0_315,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_85]),
[final] ).
cnf(c_0_316,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_278]),c_0_184]),
[final] ).
cnf(c_0_317,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_126]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_69]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_69]) ).
cnf(c_0_320,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_111]),
[final] ).
cnf(c_0_321,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_256]),c_0_73]),
[final] ).
cnf(c_0_322,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_182]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_285]),c_0_104]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_286]),c_0_104]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_192]),c_0_61]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product2(e_1,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_288,c_0_107]) ).
cnf(c_0_327,negated_conjecture,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_289]),c_0_216]) ).
cnf(c_0_328,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_290]),c_0_216]),
[final] ).
cnf(c_0_329,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_291]),c_0_184]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_292]),c_0_216]),
[final] ).
cnf(c_0_331,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_256]),c_0_73]),
[final] ).
cnf(c_0_332,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_294]),c_0_216]) ).
cnf(c_0_333,negated_conjecture,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_295]),c_0_216]) ).
cnf(c_0_334,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_143]) ).
cnf(c_0_335,negated_conjecture,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_298]),c_0_101]) ).
cnf(c_0_336,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_299]),
[final] ).
cnf(c_0_337,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_256]),c_0_61]),
[final] ).
cnf(c_0_338,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_192]),c_0_61]),
[final] ).
cnf(c_0_339,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_262]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_301]),c_0_184]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_302]),c_0_104]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_303]),c_0_101]) ).
cnf(c_0_343,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_182]),c_0_61]) ).
cnf(c_0_344,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_305]),
[final] ).
cnf(c_0_345,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_117]),c_0_124]) ).
cnf(c_0_346,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_117]),c_0_104]),
[final] ).
cnf(c_0_347,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_308]),c_0_104]),
[final] ).
cnf(c_0_348,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_112]),
[final] ).
cnf(c_0_349,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_179]),c_0_61]),
[final] ).
cnf(c_0_350,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_79]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_122]),
[final] ).
cnf(c_0_352,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_100]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_140]),c_0_202]) ).
cnf(c_0_354,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_310]),c_0_143]) ).
cnf(c_0_355,negated_conjecture,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_158]),c_0_143]) ).
cnf(c_0_356,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_2,X3)
| ~ greater(X4,X2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_312,c_0_313]),
[final] ).
cnf(c_0_357,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_358,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_312,c_0_314]),
[final] ).
cnf(c_0_359,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_360,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_361,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_277,c_0_58]),
[final] ).
cnf(c_0_362,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_363,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_67]) ).
cnf(c_0_364,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_89]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_73]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_319]),c_0_104]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_320]),c_0_67]) ).
cnf(c_0_368,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_321]),c_0_67]) ).
cnf(c_0_369,negated_conjecture,
( product2(e_4,X1,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_105]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_111]) ).
cnf(c_0_371,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_324]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_325]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_326]),c_0_202]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_327]),c_0_104]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_328]),c_0_67]) ).
cnf(c_0_376,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_329]),c_0_67]) ).
cnf(c_0_377,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_233]),c_0_61]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_330]),c_0_67]) ).
cnf(c_0_379,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_174]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_94]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_331]),c_0_67]) ).
cnf(c_0_382,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_194]),c_0_111]) ).
cnf(c_0_383,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_332]),c_0_104]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_333]),c_0_104]),
[final] ).
cnf(c_0_385,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_163]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_334]),c_0_184]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_335]),c_0_124]) ).
cnf(c_0_388,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_79]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_336,c_0_97]),
[final] ).
cnf(c_0_390,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_337]),c_0_73]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_338]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_305]),c_0_61]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_340]),c_0_67]) ).
cnf(c_0_394,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_162]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_341]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_342]),c_0_124]) ).
cnf(c_0_397,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_107]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_343]),c_0_104]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_344,c_0_97]),
[final] ).
cnf(c_0_400,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_345]),c_0_104]),
[final] ).
cnf(c_0_401,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_218]),c_0_61]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_346]),c_0_67]) ).
cnf(c_0_403,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_347]),
[final] ).
cnf(c_0_404,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_347]),c_0_67]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_349]),
[final] ).
cnf(c_0_406,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_349]),c_0_104]),
[final] ).
cnf(c_0_407,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_179]),
[final] ).
cnf(c_0_408,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_262]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_351]),c_0_67]) ).
cnf(c_0_410,negated_conjecture,
( product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_208]),c_0_73]),
[final] ).
cnf(c_0_411,negated_conjecture,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_353]),c_0_124]) ).
cnf(c_0_412,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_354]),c_0_184]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_355]),c_0_104]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_249]),c_0_61]),
[final] ).
cnf(c_0_415,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_356,c_0_357]),
[final] ).
cnf(c_0_416,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_417,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_358,c_0_359]),
[final] ).
cnf(c_0_418,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_419,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_358,c_0_360]),
[final] ).
cnf(c_0_420,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_312,c_0_361]),
[final] ).
cnf(c_0_421,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_422,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_423,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_424,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_312,c_0_362]),
[final] ).
cnf(c_0_425,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_426,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_427,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6,
[final] ).
cnf(c_0_428,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_429,axiom,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
product1_total_function2,
[final] ).
cnf(c_0_430,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_363]),c_0_111]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_364,c_0_325]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_365]),c_0_104]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_366]),c_0_67]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_367]),c_0_111]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_368]),c_0_111]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product2(e_4,e_1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_347]),
[final] ).
cnf(c_0_437,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_364,c_0_338]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_370]),c_0_104]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_371,c_0_76]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_372,c_0_373]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_374]),c_0_67]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_375]),c_0_111]),
[final] ).
cnf(c_0_443,plain,
( product2(e_2,e_4,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_376]),c_0_111]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_377]),c_0_104]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_378]),c_0_111]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_379,c_0_76]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product2(e_3,e_1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_349]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_381]),c_0_111]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_382]),c_0_104]),
[final] ).
cnf(c_0_450,plain,
( product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_383]),c_0_67]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_384]),c_0_67]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_284]),c_0_143]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_386]),c_0_104]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_387]),c_0_143]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_324]),c_0_67]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_389]),c_0_104]),
[final] ).
cnf(c_0_457,plain,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_390]),c_0_104]),
[final] ).
cnf(c_0_458,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_391,c_0_392]),
[final] ).
cnf(c_0_459,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_195]),c_0_143]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_393]),c_0_111]),
[final] ).
cnf(c_0_461,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_394,c_0_97]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_76]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_396]),c_0_143]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_397]),c_0_67]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_398]),c_0_67]),
[final] ).
cnf(c_0_466,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_399]),c_0_104]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_392]),c_0_104]),
[final] ).
cnf(c_0_468,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_400]),c_0_67]),
[final] ).
cnf(c_0_469,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_401]),c_0_104]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_402]),c_0_111]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product2(e_2,e_4,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]),
[final] ).
cnf(c_0_472,plain,
( product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_265]),c_0_104]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product2(e_2,e_3,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_405,c_0_406]),
[final] ).
cnf(c_0_474,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_174]),c_0_67]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_373]),c_0_104]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product2(e_1,e_4,e_3)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_407,c_0_112]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_166]),c_0_143]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_409]),c_0_111]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_266]),c_0_143]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_410]),c_0_104]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_411]),c_0_143]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_412]),c_0_104]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_413]),c_0_67]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_414]),c_0_104]),
[final] ).
cnf(c_0_485,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(e_3,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_415,c_0_416]),
[final] ).
cnf(c_0_486,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_417,c_0_418]),
[final] ).
cnf(c_0_487,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
cycle1,
[final] ).
cnf(c_0_488,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_419,c_0_418]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product2(e_2,e_1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_114]),
[final] ).
cnf(c_0_490,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_1,X2) ),
inference(spm,[status(thm)],[c_0_420,c_0_421]),
[final] ).
cnf(c_0_491,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_492,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_356,c_0_422]),
[final] ).
cnf(c_0_493,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_358,c_0_423]),
[final] ).
cnf(c_0_494,plain,
( ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_424,c_0_425]),
[final] ).
cnf(c_0_495,plain,
( ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_424,c_0_426]),
[final] ).
cnf(c_0_496,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(e_1,e_1,X1)
| ~ greater(X1,e_1) ),
inference(spm,[status(thm)],[c_0_427,c_0_361]),
[final] ).
cnf(c_0_497,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_313]),
[final] ).
cnf(c_0_498,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_499,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_500,plain,
( ~ cycle(e_3,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_424,c_0_428]),
[final] ).
cnf(c_0_501,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_1,X1)
| ~ greater(X1,e_3) ),
inference(spm,[status(thm)],[c_0_427,c_0_314]),
[final] ).
cnf(c_0_502,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7,
[final] ).
cnf(c_0_503,plain,
( equalish(X1,X2)
| ~ product1(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_52]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_430]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_430]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_430]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_431]),
[final] ).
cnf(c_0_508,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_431]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_431]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_432]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_432]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_432]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_316]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_316]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_316]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_365]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_365]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_365]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_433]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_433]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_433]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_366]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_366]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_366]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_434]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_434]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_434]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_435]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_435]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_435]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_436]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_436]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_436]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_437]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_437]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_437]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_438]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_438]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_438]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_320]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_320]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_320]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_439]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_439]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_439]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_440]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_440]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_440]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_441]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_441]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_441]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_374]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_374]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_374]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_282]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_282]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_282]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_318]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_318]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_318]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_321]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_321]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_321]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_442]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_442]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_442]),
[final] ).
cnf(c_0_567,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_443]),
[final] ).
cnf(c_0_568,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_443]),
[final] ).
cnf(c_0_569,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_443]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_444]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_444]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_444]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_445]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_445]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_445]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_446]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_446]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_446]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_447]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_447]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_447]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_448]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_448]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_448]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_238]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_238]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_238]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_449]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_449]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_449]),
[final] ).
cnf(c_0_591,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_450]),
[final] ).
cnf(c_0_592,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_450]),
[final] ).
cnf(c_0_593,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_450]),
[final] ).
cnf(c_0_594,plain,
( product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_383]),
[final] ).
cnf(c_0_595,plain,
( product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_383]),
[final] ).
cnf(c_0_596,plain,
( product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_383]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_451]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_451]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_451]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_384]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_384]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_384]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_452]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_452]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_452]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_284]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_284]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_284]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_259]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_259]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_259]),
[final] ).
cnf(c_0_612,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_328]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_328]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_328]),
[final] ).
cnf(c_0_615,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_329]),
[final] ).
cnf(c_0_616,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_329]),
[final] ).
cnf(c_0_617,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_329]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_377]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_377]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_377]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_330]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_330]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_330]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_453]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_453]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_453]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_386]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_386]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_386]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_297]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_297]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_297]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_268]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_268]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_268]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_454]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_454]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_454]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_455]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_455]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_455]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_455]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_324]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_324]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_324]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_456]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_456]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_456]),
[final] ).
cnf(c_0_649,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_457]),
[final] ).
cnf(c_0_650,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_457]),
[final] ).
cnf(c_0_651,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_457]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_323]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_323]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_323]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_458]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_458]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_458]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_389]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_389]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_389]),
[final] ).
cnf(c_0_661,plain,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_390]),
[final] ).
cnf(c_0_662,plain,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_390]),
[final] ).
cnf(c_0_663,plain,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_390]),
[final] ).
cnf(c_0_664,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_331]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_331]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_331]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_459]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_460]),
[final] ).
cnf(c_0_669,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_460]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_460]),
[final] ).
cnf(c_0_671,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_459]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_459]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_325]),
[final] ).
cnf(c_0_674,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_325]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_325]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_461]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_461]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_461]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_462]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_462]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_462]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_463]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_463]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_463]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_285]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_285]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_285]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_464]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_464]),
[final] ).
cnf(c_0_690,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_464]),
[final] ).
cnf(c_0_691,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_340]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_340]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_340]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_465]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_465]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_465]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_398]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_398]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_398]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_194]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_194]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_194]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_172]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_172]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_172]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_280]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_280]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_280]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_466]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_466]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_466]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_399]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_399]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_399]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_467]),
[final] ).
cnf(c_0_716,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_392]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_467]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_467]),
[final] ).
cnf(c_0_719,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_467]),
[final] ).
cnf(c_0_720,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_392]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_392]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_392]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_305]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_305]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_305]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_299]),
[final] ).
cnf(c_0_727,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_299]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_299]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_397]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_397]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_397]),
[final] ).
cnf(c_0_732,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_468]),
[final] ).
cnf(c_0_733,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_468]),
[final] ).
cnf(c_0_734,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_468]),
[final] ).
cnf(c_0_735,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_400]),
[final] ).
cnf(c_0_736,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_400]),
[final] ).
cnf(c_0_737,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_400]),
[final] ).
cnf(c_0_738,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_469]),
[final] ).
cnf(c_0_739,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_469]),
[final] ).
cnf(c_0_740,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_469]),
[final] ).
cnf(c_0_741,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_401]),
[final] ).
cnf(c_0_742,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_401]),
[final] ).
cnf(c_0_743,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_401]),
[final] ).
cnf(c_0_744,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_218]),
[final] ).
cnf(c_0_745,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_218]),
[final] ).
cnf(c_0_746,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_218]),
[final] ).
cnf(c_0_747,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_337]),
[final] ).
cnf(c_0_748,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_337]),
[final] ).
cnf(c_0_749,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_337]),
[final] ).
cnf(c_0_750,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_256]),
[final] ).
cnf(c_0_751,plain,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_255]),
[final] ).
cnf(c_0_752,plain,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_255]),
[final] ).
cnf(c_0_753,plain,
( product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_255]),
[final] ).
cnf(c_0_754,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_235]),
[final] ).
cnf(c_0_755,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_235]),
[final] ).
cnf(c_0_756,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_235]),
[final] ).
cnf(c_0_757,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_470]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_470]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_470]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_404]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_471]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_471]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_471]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_406]),
[final] ).
cnf(c_0_765,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_472]),
[final] ).
cnf(c_0_766,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_472]),
[final] ).
cnf(c_0_767,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_472]),
[final] ).
cnf(c_0_768,plain,
( product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_265]),
[final] ).
cnf(c_0_769,plain,
( product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_265]),
[final] ).
cnf(c_0_770,plain,
( product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_265]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_233]),
[final] ).
cnf(c_0_772,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_245]),
[final] ).
cnf(c_0_773,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_245]),
[final] ).
cnf(c_0_774,plain,
( product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_204]),
[final] ).
cnf(c_0_775,plain,
( product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_204]),
[final] ).
cnf(c_0_776,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_170]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_233]),
[final] ).
cnf(c_0_778,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_170]),
[final] ).
cnf(c_0_779,plain,
( product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_204]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_473]),
[final] ).
cnf(c_0_781,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_473]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_473]),
[final] ).
cnf(c_0_783,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_182]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_474]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_475]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_220]),
[final] ).
cnf(c_0_787,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_373]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_154]),
[final] ).
cnf(c_0_789,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_154]),
[final] ).
cnf(c_0_790,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_404]),
[final] ).
cnf(c_0_791,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_404]),
[final] ).
cnf(c_0_792,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_404]),
[final] ).
cnf(c_0_793,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_347]),
[final] ).
cnf(c_0_794,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_347]),
[final] ).
cnf(c_0_795,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_347]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_243]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_243]),
[final] ).
cnf(c_0_798,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_406]),
[final] ).
cnf(c_0_799,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_406]),
[final] ).
cnf(c_0_800,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_406]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_476]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_476]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_476]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_223]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_223]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_223]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_477]),
[final] ).
cnf(c_0_808,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_349]),
[final] ).
cnf(c_0_809,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_349]),
[final] ).
cnf(c_0_810,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_349]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_237]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_237]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_237]),
[final] ).
cnf(c_0_814,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_338]),
[final] ).
cnf(c_0_815,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_338]),
[final] ).
cnf(c_0_816,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_338]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_298]),
[final] ).
cnf(c_0_818,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_298]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_298]),
[final] ).
cnf(c_0_820,plain,
( product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_474]),
[final] ).
cnf(c_0_821,plain,
( product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_474]),
[final] ).
cnf(c_0_822,plain,
( product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_474]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_195]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_195]),
[final] ).
cnf(c_0_825,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_174]),
[final] ).
cnf(c_0_826,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_174]),
[final] ).
cnf(c_0_827,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_174]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_201]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_201]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_201]),
[final] ).
cnf(c_0_831,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_179]),
[final] ).
cnf(c_0_832,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_179]),
[final] ).
cnf(c_0_833,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_179]),
[final] ).
cnf(c_0_834,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_192]),
[final] ).
cnf(c_0_835,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_192]),
[final] ).
cnf(c_0_836,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_192]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_247]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_247]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_478]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_478]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_478]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_475]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_475]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_475]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_220]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_180]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_180]),
[final] ).
cnf(c_0_848,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_162]),
[final] ).
cnf(c_0_849,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_162]),
[final] ).
cnf(c_0_850,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_162]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_341]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_341]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_341]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_220]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_479]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_479]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_479]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_373]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_373]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_373]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_303]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_303]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_303]),
[final] ).
cnf(c_0_864,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_240]),
[final] ).
cnf(c_0_865,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_240]),
[final] ).
cnf(c_0_866,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_240]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_480]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_480]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_480]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_120]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_120]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_120]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_481]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_481]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_481]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_410]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_410]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_410]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_346]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_346]),
[final] ).
cnf(c_0_881,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_346]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_477]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_477]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_477]),
[final] ).
cnf(c_0_885,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_482]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_482]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_482]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_412]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_412]),
[final] ).
cnf(c_0_890,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_412]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_351]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_266]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_266]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_210]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_210]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_210]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_168]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_168]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_168]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_351]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_351]),
[final] ).
cnf(c_0_902,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_117]),
[final] ).
cnf(c_0_903,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_117]),
[final] ).
cnf(c_0_904,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_117]),
[final] ).
cnf(c_0_905,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_158]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_250]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_250]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_250]),
[final] ).
cnf(c_0_909,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_158]),
[final] ).
cnf(c_0_910,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_190]),
[final] ).
cnf(c_0_911,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_190]),
[final] ).
cnf(c_0_912,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_190]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_273]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_273]),
[final] ).
cnf(c_0_915,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_140]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_483]),
[final] ).
cnf(c_0_917,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_483]),
[final] ).
cnf(c_0_918,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_128]),
[final] ).
cnf(c_0_919,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_128]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_483]),
[final] ).
cnf(c_0_921,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_413]),
[final] ).
cnf(c_0_922,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_413]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_413]),
[final] ).
cnf(c_0_924,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_98]),
[final] ).
cnf(c_0_925,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_107]),
[final] ).
cnf(c_0_926,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_107]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_310]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_310]),
[final] ).
cnf(c_0_929,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_107]),
[final] ).
cnf(c_0_930,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_122]),
[final] ).
cnf(c_0_931,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_122]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_310]),
[final] ).
cnf(c_0_933,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_276]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_276]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_276]),
[final] ).
cnf(c_0_936,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_134]),
[final] ).
cnf(c_0_937,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_51,c_0_134]),
[final] ).
cnf(c_0_938,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_134]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_484]),
[final] ).
cnf(c_0_940,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_484]),
[final] ).
cnf(c_0_941,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_105]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_484]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_414]),
[final] ).
cnf(c_0_944,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_414]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_414]),
[final] ).
cnf(c_0_946,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_89]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_249]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_249]),
[final] ).
cnf(c_0_949,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_89]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_90]),
[final] ).
cnf(c_0_951,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_90]),
[final] ).
cnf(c_0_952,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_3,X1)
| ~ greater(e_0,X1) ),
inference(spm,[status(thm)],[c_0_485,c_0_361]),
[final] ).
cnf(c_0_953,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_208]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_208]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_208]),
[final] ).
cnf(c_0_956,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_4,X1)
| ~ greater(e_0,X1) ),
inference(spm,[status(thm)],[c_0_486,c_0_361]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_166]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_166]),
[final] ).
cnf(c_0_959,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_487,c_0_361]),
[final] ).
cnf(c_0_960,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_137]),
[final] ).
cnf(c_0_961,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_100]),
[final] ).
cnf(c_0_962,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_100]),
[final] ).
cnf(c_0_963,plain,
( equalish(X1,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_487,c_0_313]),
[final] ).
cnf(c_0_964,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_4,X1)
| ~ greater(e_0,X1) ),
inference(spm,[status(thm)],[c_0_488,c_0_313]),
[final] ).
cnf(c_0_965,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_85]),
[final] ).
cnf(c_0_966,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_487,c_0_314]),
[final] ).
cnf(c_0_967,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_152]),
[final] ).
cnf(c_0_968,plain,
( product2(X1,e_1,e_4)
| product2(X1,e_1,e_3)
| product2(X1,e_1,e_2)
| product2(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_58]),
[final] ).
cnf(c_0_969,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_163]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_186]),
[final] ).
cnf(c_0_971,plain,
( product2(X1,e_2,e_4)
| product2(X1,e_2,e_3)
| product2(X1,e_2,e_2)
| product2(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_972,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_126]),
[final] ).
cnf(c_0_973,plain,
( product2(X1,e_3,e_4)
| product2(X1,e_3,e_3)
| product2(X1,e_3,e_2)
| product2(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_49]),
[final] ).
cnf(c_0_974,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_108]),
[final] ).
cnf(c_0_975,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_199]),
[final] ).
cnf(c_0_976,plain,
( product2(X1,e_4,e_4)
| product2(X1,e_4,e_3)
| product2(X1,e_4,e_2)
| product2(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_50]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_489]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_489]),
[final] ).
cnf(c_0_979,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_489]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_211]),
[final] ).
cnf(c_0_981,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_148]),
[final] ).
cnf(c_0_982,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_490,c_0_491]),
[final] ).
cnf(c_0_983,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(e_3,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_492,c_0_416]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_129]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_129]),
[final] ).
cnf(c_0_986,plain,
( product1(X1,e_1,e_4)
| product1(X1,e_1,e_3)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_58]),
[final] ).
cnf(c_0_987,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_114]),
[final] ).
cnf(c_0_988,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_114]),
[final] ).
cnf(c_0_989,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_114]),
[final] ).
cnf(c_0_990,plain,
( product1(X1,e_2,e_4)
| product1(X1,e_2,e_3)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_55]),
[final] ).
cnf(c_0_991,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_94]),
[final] ).
cnf(c_0_992,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_94]),
[final] ).
cnf(c_0_993,plain,
( product1(X1,e_3,e_4)
| product1(X1,e_3,e_3)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_994,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_79]),
[final] ).
cnf(c_0_995,plain,
( product1(X1,e_4,e_4)
| product1(X1,e_4,e_3)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_50]),
[final] ).
cnf(c_0_996,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_262]),
[final] ).
cnf(c_0_997,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_493,c_0_418]),
[final] ).
cnf(c_0_998,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_76]),
[final] ).
cnf(c_0_999,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_76]),
[final] ).
cnf(c_0_1000,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_76]),
[final] ).
cnf(c_0_1001,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_494,c_0_361]),
[final] ).
cnf(c_0_1002,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_313]),
[final] ).
cnf(c_0_1003,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_97]),
[final] ).
cnf(c_0_1004,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_97]),
[final] ).
cnf(c_0_1005,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_429,c_0_112]),
[final] ).
cnf(c_0_1006,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_357]),
[final] ).
cnf(c_0_1007,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_496,c_0_359]),
[final] ).
cnf(c_0_1008,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_496,c_0_425]),
[final] ).
cnf(c_0_1009,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_497,c_0_360]),
[final] ).
cnf(c_0_1010,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_497,c_0_426]),
[final] ).
cnf(c_0_1011,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_498,c_0_421]),
[final] ).
cnf(c_0_1012,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_498,c_0_422]),
[final] ).
cnf(c_0_1013,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_498,c_0_423]),
[final] ).
cnf(c_0_1014,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_498,c_0_499]),
[final] ).
cnf(c_0_1015,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_500,c_0_314]),
[final] ).
cnf(c_0_1016,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_501,c_0_428]),
[final] ).
cnf(c_0_1017,plain,
( equalish(X1,X2)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,e_1)
| ~ next(X3,X2) ),
inference(spm,[status(thm)],[c_0_502,c_0_421]),
[final] ).
cnf(c_0_1018,plain,
( equalish(X1,X2)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,e_2)
| ~ next(X3,X2) ),
inference(spm,[status(thm)],[c_0_502,c_0_422]),
[final] ).
cnf(c_0_1019,plain,
( equalish(X1,X2)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,e_3)
| ~ next(X3,X2) ),
inference(spm,[status(thm)],[c_0_502,c_0_423]),
[final] ).
cnf(c_0_1020,plain,
( equalish(X1,X2)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,e_4)
| ~ next(X3,X2) ),
inference(spm,[status(thm)],[c_0_502,c_0_499]),
[final] ).
cnf(c_0_1021,plain,
( ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_424,c_0_499]),
[final] ).
cnf(c_0_1022,plain,
( equalish(X1,e_0)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_487,c_0_362]),
[final] ).
cnf(c_0_1023,plain,
( ~ product(e_4,e_1,X1)
| ~ greater(X1,e_4) ),
inference(spm,[status(thm)],[c_0_427,c_0_362]),
[final] ).
cnf(c_0_1024,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_503,c_0_52]),
[final] ).
cnf(c_0_1025,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-8.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:21:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.42/3.00 % Version : CSE_E---1.7
% 3.42/3.00 % Problem : theBenchmark.p
% 3.42/3.00 % SZS status Satisfiable for theBenchmark.p
% 3.42/3.00 % SZS output start Saturation
% See solution above
% 3.42/3.01 % Total time : 2.376s
%------------------------------------------------------------------------------