%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP123-9.004 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 2.03s 1.86s
% Output : Saturation 2.03s
% 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/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(product1_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(product1_idempotence,axiom,
product1(X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(qg1a,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
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/sandbox/benchmark/theBenchmark.p',product2_total_function1) ).
cnf(product2_total_function2,axiom,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(product2_idempotence,axiom,
product2(X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(product2_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_right_cancellation) ).
cnf(product1_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(product2_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_left_cancellation) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(row_surjectivity,axiom,
( product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(column_surjectivity,axiom,
( product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_surjectivity) ).
cnf(product1_total_function2,axiom,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function2) ).
cnf(c_0_29,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_30,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_31,axiom,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
product1_right_cancellation,
[final] ).
cnf(c_0_32,axiom,
product1(X1,X1,X1),
product1_idempotence,
[final] ).
cnf(c_0_33,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_29,c_0_30]),
[final] ).
cnf(c_0_34,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_35,plain,
( equalish(X1,X2)
| ~ product1(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_36,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_33,c_0_34]) ).
cnf(c_0_37,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_38,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
qg1a,
[final] ).
cnf(c_0_39,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[final] ).
cnf(c_0_40,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_41,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_42,axiom,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
product2_total_function2,
[final] ).
cnf(c_0_43,axiom,
product2(X1,X1,X1),
product2_idempotence,
[final] ).
cnf(c_0_44,negated_conjecture,
( product2(e_4,X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_45,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_33,c_0_40]),
[final] ).
cnf(c_0_46,axiom,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
product2_right_cancellation,
[final] ).
cnf(c_0_47,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_41,c_0_40]),
[final] ).
cnf(c_0_48,axiom,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
product1_left_cancellation,
[final] ).
cnf(c_0_49,plain,
( equalish(X1,X2)
| ~ product2(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_50,negated_conjecture,
( product2(e_4,e_4,e_3)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_52,axiom,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
product2_left_cancellation,
[final] ).
cnf(c_0_53,plain,
( equalish(X1,X2)
| ~ product2(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]),
[final] ).
cnf(c_0_54,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_47,c_0_34]) ).
cnf(c_0_55,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_56,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_29,c_0_40]),
[final] ).
cnf(c_0_57,plain,
( equalish(X1,X2)
| ~ product1(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]),
[final] ).
cnf(c_0_58,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_59,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_60,negated_conjecture,
( product2(X1,X2,X1)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]),
[final] ).
cnf(c_0_61,plain,
( equalish(X1,X2)
| ~ product2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_43]),
[final] ).
cnf(c_0_62,plain,
( product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_63,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_64,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_56,c_0_34]) ).
cnf(c_0_65,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_66,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),
[final] ).
cnf(c_0_67,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X1,X3,X2)
| ~ product1(X3,X2,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_60]),
[final] ).
cnf(c_0_68,plain,
( product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),
[final] ).
cnf(c_0_69,plain,
( product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_64]),c_0_55]) ).
cnf(c_0_70,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_29,c_0_65]),
[final] ).
cnf(c_0_71,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_66]),
[final] ).
cnf(c_0_72,negated_conjecture,
( product2(e_1,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_59]),
[final] ).
cnf(c_0_73,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_74,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_41,c_0_30]),
[final] ).
cnf(c_0_75,plain,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_63]),
[final] ).
cnf(c_0_76,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_70,c_0_34]) ).
cnf(c_0_77,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_78,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X2,X3,X1)
| ~ product1(X3,X2,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_60]),
[final] ).
cnf(c_0_79,negated_conjecture,
( product2(e_2,e_4,e_3)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_45]),
[final] ).
cnf(c_0_80,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_72]),c_0_73]),
[final] ).
cnf(c_0_82,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_34]) ).
cnf(c_0_83,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_41,c_0_65]),
[final] ).
cnf(c_0_84,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_75]),
[final] ).
cnf(c_0_85,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_56,c_0_30]),
[final] ).
cnf(c_0_86,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]),
[final] ).
cnf(c_0_87,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_76]),c_0_77]),
[final] ).
cnf(c_0_88,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_89,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_45]),
[final] ).
cnf(c_0_90,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_70,c_0_40]),
[final] ).
cnf(c_0_91,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),
[final] ).
cnf(c_0_92,plain,
( product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_82]),c_0_37]),
[final] ).
cnf(c_0_93,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_83,c_0_34]) ).
cnf(c_0_94,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_74,c_0_40]),
[final] ).
cnf(c_0_95,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_29,c_0_34]),
[final] ).
cnf(c_0_96,negated_conjecture,
( product2(e_3,e_3,e_4)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_97,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_98,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_99,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_88]),c_0_91]) ).
cnf(c_0_100,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_92]),
[final] ).
cnf(c_0_101,plain,
( product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_93]),c_0_77]),
[final] ).
cnf(c_0_102,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_94]),
[final] ).
cnf(c_0_103,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_83,c_0_40]),
[final] ).
cnf(c_0_104,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_95,c_0_40]) ).
cnf(c_0_105,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_96]),c_0_97]),
[final] ).
cnf(c_0_106,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_98]),c_0_59]),
[final] ).
cnf(c_0_107,plain,
( product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_99]),c_0_51]) ).
cnf(c_0_108,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_88]) ).
cnf(c_0_109,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_88]) ).
cnf(c_0_110,plain,
( product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_104]),c_0_55]) ).
cnf(c_0_111,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_105]),
[final] ).
cnf(c_0_112,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_106]),
[final] ).
cnf(c_0_113,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_107]),c_0_97]),
[final] ).
cnf(c_0_114,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_108]),c_0_59]),
[final] ).
cnf(c_0_115,plain,
( product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_109]),c_0_51]) ).
cnf(c_0_116,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_110]),c_0_63]),
[final] ).
cnf(c_0_117,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_95,c_0_30]) ).
cnf(c_0_118,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_92]),
[final] ).
cnf(c_0_119,negated_conjecture,
( product2(e_2,e_3,e_4)
| 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_111,c_0_85]),
[final] ).
cnf(c_0_120,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_63]),
[final] ).
cnf(c_0_121,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_55]),
[final] ).
cnf(c_0_122,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_114]),
[final] ).
cnf(c_0_123,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_115]),c_0_97]),
[final] ).
cnf(c_0_124,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_116]),
[final] ).
cnf(c_0_125,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_117]),c_0_37]),
[final] ).
cnf(c_0_126,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]),
[final] ).
cnf(c_0_127,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_33,c_0_65]),
[final] ).
cnf(c_0_128,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_129,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_85]),
[final] ).
cnf(c_0_130,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_56,c_0_65]),
[final] ).
cnf(c_0_131,negated_conjecture,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_77]),c_0_120]) ).
cnf(c_0_132,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_41,c_0_34]),
[final] ).
cnf(c_0_133,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_121]),
[final] ).
cnf(c_0_134,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_68]),
[final] ).
cnf(c_0_135,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_55]),
[final] ).
cnf(c_0_136,negated_conjecture,
( product2(e_3,e_3,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_138,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_88]) ).
cnf(c_0_139,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_131]),c_0_59]),
[final] ).
cnf(c_0_140,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_132,c_0_30]) ).
cnf(c_0_141,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_133,c_0_90]),
[final] ).
cnf(c_0_142,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_128]),
[final] ).
cnf(c_0_143,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_136]),c_0_59]),
[final] ).
cnf(c_0_144,plain,
( product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_137]),c_0_51]) ).
cnf(c_0_145,plain,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_138]),c_0_51]) ).
cnf(c_0_146,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_85]),
[final] ).
cnf(c_0_147,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_70,c_0_30]),
[final] ).
cnf(c_0_148,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_139]),c_0_73]),
[final] ).
cnf(c_0_149,plain,
( product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_140]),c_0_37]),
[final] ).
cnf(c_0_150,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_132,c_0_65]) ).
cnf(c_0_151,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_132,c_0_40]) ).
cnf(c_0_152,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_141]),
[final] ).
cnf(c_0_153,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_142]),c_0_73]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_143]),
[final] ).
cnf(c_0_155,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_127]),
[final] ).
cnf(c_0_156,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_144]),c_0_97]) ).
cnf(c_0_157,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_130]),
[final] ).
cnf(c_0_158,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_145]),c_0_97]) ).
cnf(c_0_159,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_128]),c_0_148]) ).
cnf(c_0_160,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_149]),
[final] ).
cnf(c_0_161,plain,
( product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_150]),c_0_77]),
[final] ).
cnf(c_0_162,plain,
( product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_151]),c_0_55]) ).
cnf(c_0_163,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_142]),c_0_59]),c_0_153]) ).
cnf(c_0_164,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_154,c_0_125]),
[final] ).
cnf(c_0_165,negated_conjecture,
( product2(e_1,e_4,e_3)
| 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_155,c_0_156]),
[final] ).
cnf(c_0_166,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_101]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product2(e_1,e_3,e_4)
| 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_157,c_0_158]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_101]),c_0_63]),
[final] ).
cnf(c_0_169,plain,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_159]),c_0_51]) ).
cnf(c_0_170,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_88]) ).
cnf(c_0_171,plain,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_162]),c_0_63]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_163]),c_0_73]) ).
cnf(c_0_173,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_164]),
[final] ).
cnf(c_0_174,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_175,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_165]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_135]),c_0_59]),
[final] ).
cnf(c_0_177,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_80]),c_0_168]),
[final] ).
cnf(c_0_178,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_169]),c_0_97]),
[final] ).
cnf(c_0_179,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_75]),
[final] ).
cnf(c_0_180,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_95,c_0_65]) ).
cnf(c_0_181,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_94]),
[final] ).
cnf(c_0_182,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_74,c_0_65]),
[final] ).
cnf(c_0_183,plain,
( product2(e_3,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_170]),c_0_59]),
[final] ).
cnf(c_0_184,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_171]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_172]),c_0_128]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_94]),c_0_174]) ).
cnf(c_0_187,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_135]),c_0_128]),c_0_176]) ).
cnf(c_0_188,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_139]),
[final] ).
cnf(c_0_189,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_177]),c_0_128]),
[final] ).
cnf(c_0_190,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_178]),
[final] ).
cnf(c_0_191,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_121]),c_0_128]),
[final] ).
cnf(c_0_192,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_180]),c_0_77]),
[final] ).
cnf(c_0_193,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_128]) ).
cnf(c_0_194,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_183]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_77]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_186]),c_0_51]) ).
cnf(c_0_197,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_187]),c_0_73]) ).
cnf(c_0_198,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_68]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_97]) ).
cnf(c_0_200,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_59]) ).
cnf(c_0_201,negated_conjecture,
( product2(e_3,e_2,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_192]),
[final] ).
cnf(c_0_202,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_125]),
[final] ).
cnf(c_0_203,plain,
( product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_193]),c_0_51]) ).
cnf(c_0_204,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_97]),c_0_60]) ).
cnf(c_0_205,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_47,c_0_30]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product2(e_4,e_3,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_196]),c_0_97]),
[final] ).
cnf(c_0_207,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_197]),c_0_128]),
[final] ).
cnf(c_0_208,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_114]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_79]),c_0_77]),c_0_72]),
[final] ).
cnf(c_0_210,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_199]),c_0_73]) ).
cnf(c_0_211,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_200]),c_0_73]) ).
cnf(c_0_212,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_201]),
[final] ).
cnf(c_0_213,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_192]),c_0_88]) ).
cnf(c_0_214,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_203]),c_0_97]),
[final] ).
cnf(c_0_215,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_171]),
[final] ).
cnf(c_0_216,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_204]),c_0_174]),
[final] ).
cnf(c_0_217,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_205]),
[final] ).
cnf(c_0_218,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_47,c_0_65]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_206]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_207]),c_0_77]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_97]),
[final] ).
cnf(c_0_222,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_191]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_210]),c_0_97]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_147]),
[final] ).
cnf(c_0_225,plain,
( product1(e_4,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_211]),c_0_128]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_205]),c_0_174]) ).
cnf(c_0_227,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_192]),
[final] ).
cnf(c_0_228,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_213]),c_0_59]),
[final] ).
cnf(c_0_229,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_214]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_128]),
[final] ).
cnf(c_0_231,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_103]),
[final] ).
cnf(c_0_232,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_83,c_0_30]),
[final] ).
cnf(c_0_233,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_88]) ).
cnf(c_0_234,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_59]) ).
cnf(c_0_235,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_221]),
[final] ).
cnf(c_0_236,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_37]) ).
cnf(c_0_237,negated_conjecture,
( product2(e_1,e_4,e_2)
| 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_224,c_0_225]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_114]),c_0_73]),
[final] ).
cnf(c_0_239,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_205]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_206]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_226]),c_0_51]) ).
cnf(c_0_242,negated_conjecture,
( product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_59]) ).
cnf(c_0_244,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_51]) ).
cnf(c_0_245,plain,
( product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_233]),c_0_51]) ).
cnf(c_0_246,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_234]),c_0_174]) ).
cnf(c_0_247,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_1,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_207]),c_0_55]) ).
cnf(c_0_248,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_236]),c_0_73]) ).
cnf(c_0_249,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_237]),c_0_97]),c_0_238]),
[final] ).
cnf(c_0_250,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_232]),c_0_128]) ).
cnf(c_0_251,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_206]),c_0_55]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_139]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_139]),c_0_63]) ).
cnf(c_0_254,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_209]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_241]),c_0_97]),
[final] ).
cnf(c_0_256,negated_conjecture,
( 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_46,c_0_242]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_243]),c_0_73]),
[final] ).
cnf(c_0_258,plain,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_244]),c_0_128]),
[final] ).
cnf(c_0_259,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_245]),c_0_97]),
[final] ).
cnf(c_0_260,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_246]),c_0_59]),
[final] ).
cnf(c_0_261,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_247]),c_0_73]) ).
cnf(c_0_262,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_116]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_248]),c_0_128]),
[final] ).
cnf(c_0_264,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_249]),c_0_128]),
[final] ).
cnf(c_0_265,plain,
( product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_250]),c_0_51]) ).
cnf(c_0_266,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_251]),c_0_128]),
[final] ).
cnf(c_0_267,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_113]),
[final] ).
cnf(c_0_268,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_123]),c_0_55]) ).
cnf(c_0_269,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_253]),c_0_59]),
[final] ).
cnf(c_0_270,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_228]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_37]) ).
cnf(c_0_272,negated_conjecture,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_103]),c_0_88]) ).
cnf(c_0_273,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_257]),c_0_77]) ).
cnf(c_0_274,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_258]),c_0_77]),
[final] ).
cnf(c_0_275,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_259]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_260]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_261]),c_0_174]) ).
cnf(c_0_278,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_225]),c_0_77]),
[final] ).
cnf(c_0_279,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_77]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_264]),
[final] ).
cnf(c_0_281,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_265]),c_0_97]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_189]),
[final] ).
cnf(c_0_283,negated_conjecture,
( product2(e_1,e_2,e_2)
| 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_52,c_0_266]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_267,c_0_39]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product2(e_4,e_1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_171]),c_0_97]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_268]),c_0_128]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_269]),
[final] ).
cnf(c_0_288,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_97]) ).
cnf(c_0_289,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_143]),
[final] ).
cnf(c_0_290,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_209]),c_0_97]) ).
cnf(c_0_291,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_272]),c_0_128]),
[final] ).
cnf(c_0_292,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_123]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_273]),c_0_59]),
[final] ).
cnf(c_0_294,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_274]),c_0_59]) ).
cnf(c_0_295,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_142]),c_0_59]) ).
cnf(c_0_296,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_220]),c_0_59]) ).
cnf(c_0_297,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_276,c_0_116]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_277]),c_0_51]),
[final] ).
cnf(c_0_299,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_278]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_279]),
[final] ).
cnf(c_0_301,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_183]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_37]) ).
cnf(c_0_303,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_281]),c_0_37]) ).
cnf(c_0_304,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_281]),c_0_37]) ).
cnf(c_0_305,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_284]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_259]),c_0_37]) ).
cnf(c_0_307,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_259]),c_0_37]) ).
cnf(c_0_308,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_286]),c_0_77]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_287,c_0_116]),
[final] ).
cnf(c_0_310,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_218]),
[final] ).
cnf(c_0_311,negated_conjecture,
( 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_52,c_0_242]),
[final] ).
cnf(c_0_312,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_223]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_288]),c_0_51]),
[final] ).
cnf(c_0_314,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_228]),
[final] ).
cnf(c_0_315,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_113]),c_0_37]) ).
cnf(c_0_316,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_290]),c_0_51]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_178]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_291]),c_0_77]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_164]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_63]) ).
cnf(c_0_321,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_149]),
[final] ).
cnf(c_0_322,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_294]),c_0_174]),
[final] ).
cnf(c_0_323,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_123]),
[final] ).
cnf(c_0_324,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_295]),c_0_73]) ).
cnf(c_0_325,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_296]),c_0_174]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_297]),c_0_88]) ).
cnf(c_0_327,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_298]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_260]),c_0_51]),
[final] ).
cnf(c_0_329,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_87]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_260]),c_0_51]),
[final] ).
cnf(c_0_331,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_75]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_220]),c_0_97]) ).
cnf(c_0_333,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_101]),
[final] ).
cnf(c_0_334,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_281]),c_0_55]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_302]),c_0_73]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_303]),c_0_73]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_304]),c_0_73]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_305]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_281]),c_0_37]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_306]),c_0_73]) ).
cnf(c_0_341,negated_conjecture,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_307]),c_0_73]) ).
cnf(c_0_342,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_308]),c_0_97]) ).
cnf(c_0_343,negated_conjecture,
( product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_309]),c_0_88]) ).
cnf(c_0_344,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_182]),c_0_51]) ).
cnf(c_0_345,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_182]),c_0_128]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product2(e_2,e_1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_75]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_313]),
[final] ).
cnf(c_0_348,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_178]),c_0_55]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_223]),c_0_55]),
[final] ).
cnf(c_0_350,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_116]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_315]),c_0_128]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_316]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product2(e_2,e_1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_317,c_0_75]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_318]),c_0_97]) ).
cnf(c_0_355,negated_conjecture,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_218]),c_0_97]) ).
cnf(c_0_356,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_320]),c_0_128]),
[final] ).
cnf(c_0_357,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_77]) ).
cnf(c_0_358,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_85]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_90]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_230]),c_0_59]) ).
cnf(c_0_361,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_324]),c_0_128]),
[final] ).
cnf(c_0_362,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_325]),c_0_77]) ).
cnf(c_0_363,negated_conjecture,
( product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_326]),c_0_51]) ).
cnf(c_0_364,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_327,c_0_39]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_298]),c_0_55]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_328]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_328]),c_0_37]) ).
cnf(c_0_368,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_330]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_330]),c_0_77]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_332]),c_0_174]),
[final] ).
cnf(c_0_371,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_37]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_335]),c_0_77]) ).
cnf(c_0_373,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_336]),c_0_77]) ).
cnf(c_0_374,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_337]),c_0_77]) ).
cnf(c_0_375,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_123]),c_0_37]) ).
cnf(c_0_376,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_339]),c_0_77]) ).
cnf(c_0_377,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_340]),c_0_128]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_341]),c_0_128]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_125]),
[final] ).
cnf(c_0_380,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_214]),c_0_55]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_342]),c_0_174]),
[final] ).
cnf(c_0_382,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_259]),c_0_55]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_343]),c_0_51]) ).
cnf(c_0_384,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_263]),
[final] ).
cnf(c_0_385,plain,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_344]),c_0_128]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_259]),c_0_37]) ).
cnf(c_0_387,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_345]),c_0_77]) ).
cnf(c_0_388,negated_conjecture,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_346]),c_0_88]) ).
cnf(c_0_389,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_225]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_347,c_0_39]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_348]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_313]),c_0_55]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_349]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_349]),c_0_128]) ).
cnf(c_0_395,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_87]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_351]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_39]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_353]),c_0_88]) ).
cnf(c_0_399,negated_conjecture,
( 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_354]),c_0_174]),
[final] ).
cnf(c_0_400,axiom,
( product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
row_surjectivity,
[final] ).
cnf(c_0_401,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_316]),c_0_55]),
[final] ).
cnf(c_0_402,axiom,
( product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
column_surjectivity,
[final] ).
cnf(c_0_403,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_355]),c_0_128]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_228]),
[final] ).
cnf(c_0_405,axiom,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
product1_total_function2,
[final] ).
cnf(c_0_406,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_356]),c_0_77]),
[final] ).
cnf(c_0_407,plain,
( product2(e_3,e_1,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_357]),c_0_59]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product2(e_1,e_2,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| 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_358,c_0_330]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| 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_359,c_0_328]),
[final] ).
cnf(c_0_410,negated_conjecture,
( equalish(X1,e_4)
| ~ product2(e_1,X1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_72]),
[final] ).
cnf(c_0_411,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_360]),c_0_128]),
[final] ).
cnf(c_0_412,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_361]),c_0_77]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_362]),c_0_59]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_363]),c_0_97]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_364]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_416,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_285]),c_0_174]),
[final] ).
cnf(c_0_417,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_365]),c_0_128]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product2(e_3,e_1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_370]),c_0_128]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| 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_359,c_0_348]),
[final] ).
cnf(c_0_422,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_371]),c_0_128]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_372]),c_0_59]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_373]),c_0_59]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_374]),c_0_59]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_375]),c_0_128]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_376]),c_0_59]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_377]),c_0_77]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_378]),c_0_77]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_349]),
[final] ).
cnf(c_0_431,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_380]),c_0_128]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_381]),c_0_128]),
[final] ).
cnf(c_0_433,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_382]),c_0_128]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_214]),c_0_55]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_383]),c_0_97]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product2(e_3,e_1,e_2)
| 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_3) ),
inference(spm,[status(thm)],[c_0_384,c_0_87]),
[final] ).
cnf(c_0_437,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_385]),c_0_77]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_386]),c_0_128]),
[final] ).
cnf(c_0_439,negated_conjecture,
( equalish(X1,e_1)
| ~ product2(e_4,X1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_285]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_387]),c_0_59]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_388]),c_0_59]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_389,c_0_87]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_390]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_391,c_0_392]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product2(e_4,e_3,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_395,c_0_147]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_396,c_0_87]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product2(e_4,e_2,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_127]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_392]),c_0_128]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_397]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_398]),c_0_59]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_399]),c_0_128]),
[final] ).
cnf(c_0_453,plain,
( product(e_4,X1,e_1)
| product(e_3,X1,e_1)
| product(e_2,X1,e_1)
| product(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_34]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_401]),c_0_128]),
[final] ).
cnf(c_0_455,plain,
( product(e_4,X1,e_2)
| product(e_3,X1,e_2)
| product(e_2,X1,e_2)
| product(e_1,X1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_65]),
[final] ).
cnf(c_0_456,plain,
( product(e_4,X1,e_3)
| product(e_3,X1,e_3)
| product(e_2,X1,e_3)
| product(e_1,X1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_30]),
[final] ).
cnf(c_0_457,plain,
( product(e_4,X1,e_4)
| product(e_3,X1,e_4)
| product(e_2,X1,e_4)
| product(e_1,X1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_40]),
[final] ).
cnf(c_0_458,plain,
( product(X1,e_4,e_1)
| product(X1,e_3,e_1)
| product(X1,e_2,e_1)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_34]),
[final] ).
cnf(c_0_459,plain,
( product(X1,e_4,e_2)
| product(X1,e_3,e_2)
| product(X1,e_2,e_2)
| product(X1,e_1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_65]),
[final] ).
cnf(c_0_460,plain,
( product(X1,e_4,e_3)
| product(X1,e_3,e_3)
| product(X1,e_2,e_3)
| product(X1,e_1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_30]),
[final] ).
cnf(c_0_461,plain,
( product(X1,e_4,e_4)
| product(X1,e_3,e_4)
| product(X1,e_2,e_4)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_40]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_403]),c_0_77]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product2(e_3,e_2,e_4)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_130]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_404,c_0_116]),
[final] ).
cnf(c_0_465,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X3,X1,X3)
| ~ product1(X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_60]),
[final] ).
cnf(c_0_466,negated_conjecture,
( product2(e_4,e_1,e_2)
| ~ product1(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_171]),c_0_51]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product2(e_1,e_4,e_2)
| ~ product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_68]),c_0_37]),
[final] ).
cnf(c_0_468,plain,
( equalish(X1,X2)
| ~ product1(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_32]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_406]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_406]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_406]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_356]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_356]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_406]),c_0_174]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_356]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_356]),c_0_97]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_356]),c_0_51]),
[final] ).
cnf(c_0_478,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_407]),
[final] ).
cnf(c_0_479,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_407]),
[final] ).
cnf(c_0_480,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_407]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_407]),c_0_80]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_408]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_408]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_408]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,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_52,c_0_409]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,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_46,c_0_409]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,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_42,c_0_409]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_408]),c_0_63]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_408]),c_0_55]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_409]),c_0_51]),c_0_81]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_409]),c_0_73]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_409]),c_0_77]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_293]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_293]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_293]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_293]),c_0_51]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_293]),c_0_77]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_257]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_257]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_257]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_257]),c_0_128]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_411]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_411]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_411]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_411]),c_0_97]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_411]),c_0_51]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_230]),
[final] ).
cnf(c_0_508,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_230]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_230]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_216]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_216]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_216]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_216]),c_0_88]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_195]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_195]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_195]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_185]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_185]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_185]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_185]),c_0_97]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_185]),c_0_51]),
[final] ).
cnf(c_0_522,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_412]),
[final] ).
cnf(c_0_523,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_412]),
[final] ).
cnf(c_0_524,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_412]),
[final] ).
cnf(c_0_525,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_361]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_412]),c_0_174]),
[final] ).
cnf(c_0_527,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_361]),
[final] ).
cnf(c_0_528,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_361]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_361]),c_0_97]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_361]),c_0_51]),
[final] ).
cnf(c_0_531,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_322]),
[final] ).
cnf(c_0_532,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_322]),
[final] ).
cnf(c_0_533,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_322]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_322]),c_0_51]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_413]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_413]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_413]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_413]),c_0_51]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_413]),c_0_77]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_414]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_414]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_414]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_414]),c_0_88]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_325]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_325]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_325]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_325]),c_0_128]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_415]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_415]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_415]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_364]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_364]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_364]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_364]),c_0_80]),c_0_416]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_417]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_365]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_417]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_417]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_417]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_365]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_365]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_365]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_298]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_298]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_298]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_418]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_418]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_418]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_369]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_419]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_419]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_419]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_419]),c_0_97]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_369]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_369]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_369]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_297]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_297]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_297]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_297]),c_0_73]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_330]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_330]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_330]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_328]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_328]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_328]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_260]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_260]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_260]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_420]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_420]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_420]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_370]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_370]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_370]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_370]),c_0_88]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_220]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_220]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_220]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_207]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_207]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_207]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_220]),c_0_174]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_207]),c_0_97]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_207]),c_0_51]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_421]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_421]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_421]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_421]),c_0_51]),c_0_81]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_421]),c_0_73]),
[final] ).
cnf(c_0_611,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_422]),
[final] ).
cnf(c_0_612,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_422]),
[final] ).
cnf(c_0_613,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_422]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_422]),c_0_73]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_423]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_423]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_423]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_423]),c_0_80]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_423]),c_0_88]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_424]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_424]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_424]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_424]),c_0_80]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_424]),c_0_88]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_425]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_425]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_425]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_425]),c_0_80]),
[final] ).
cnf(c_0_629,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_371]),
[final] ).
cnf(c_0_630,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_371]),
[final] ).
cnf(c_0_631,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_371]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_426]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_426]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_426]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_426]),c_0_97]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_426]),c_0_51]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_371]),c_0_37]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_427]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_427]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_427]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_427]),c_0_80]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_427]),c_0_88]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_428]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_428]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_428]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_377]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_377]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_377]),
[final] ).
cnf(c_0_649,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_377]),c_0_88]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_429]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_429]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_429]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_378]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_378]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_378]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_378]),c_0_88]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_335]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_335]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_335]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_335]),c_0_51]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_336]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_336]),
[final] ).
cnf(c_0_663,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_336]),
[final] ).
cnf(c_0_664,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_336]),c_0_51]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_337]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_337]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_337]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_337]),c_0_51]),
[final] ).
cnf(c_0_669,negated_conjecture,
( 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_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_430]),
[final] ).
cnf(c_0_670,negated_conjecture,
( 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_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_430]),
[final] ).
cnf(c_0_671,negated_conjecture,
( 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_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_430]),
[final] ).
cnf(c_0_672,negated_conjecture,
( 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_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_67,c_0_430]),c_0_55]),
[final] ).
cnf(c_0_673,negated_conjecture,
( 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_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_430]),c_0_63]),
[final] ).
cnf(c_0_674,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_431]),
[final] ).
cnf(c_0_675,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_431]),
[final] ).
cnf(c_0_676,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_431]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_431]),c_0_73]),
[final] ).
cnf(c_0_678,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_142]),
[final] ).
cnf(c_0_679,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_142]),
[final] ).
cnf(c_0_680,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_142]),
[final] ).
cnf(c_0_681,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_274]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_432]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_432]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_432]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_381]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_381]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_381]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_381]),c_0_88]),
[final] ).
cnf(c_0_689,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_274]),
[final] ).
cnf(c_0_690,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_274]),
[final] ).
cnf(c_0_691,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_274]),c_0_174]),
[final] ).
cnf(c_0_692,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_433]),
[final] ).
cnf(c_0_693,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_433]),
[final] ).
cnf(c_0_694,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_433]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_434]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_434]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_434]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_435]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_435]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_435]),
[final] ).
cnf(c_0_701,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_380]),
[final] ).
cnf(c_0_702,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_380]),
[final] ).
cnf(c_0_703,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_380]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_434]),c_0_128]),
[final] ).
cnf(c_0_705,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_135]),
[final] ).
cnf(c_0_706,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_135]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_380]),c_0_59]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_380]),c_0_37]),
[final] ).
cnf(c_0_709,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_135]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_308]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_308]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_308]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_286]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_286]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_308]),c_0_174]),
[final] ).
cnf(c_0_716,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_286]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_286]),c_0_97]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_286]),c_0_51]),
[final] ).
cnf(c_0_719,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_258]),
[final] ).
cnf(c_0_720,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_258]),
[final] ).
cnf(c_0_721,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_258]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_258]),c_0_51]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_436]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_436]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_436]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_436]),c_0_88]),c_0_416]),
[final] ).
cnf(c_0_727,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_437]),
[final] ).
cnf(c_0_728,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_437]),
[final] ).
cnf(c_0_729,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_437]),
[final] ).
cnf(c_0_730,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_382]),
[final] ).
cnf(c_0_731,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_382]),
[final] ).
cnf(c_0_732,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_382]),
[final] ).
cnf(c_0_733,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_334]),
[final] ).
cnf(c_0_734,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_334]),
[final] ).
cnf(c_0_735,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_334]),
[final] ).
cnf(c_0_736,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_382]),c_0_88]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_438]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_438]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_438]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_438]),c_0_88]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_339]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_339]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_339]),
[final] ).
cnf(c_0_744,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_214]),
[final] ).
cnf(c_0_745,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_214]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_214]),c_0_37]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_214]),c_0_128]),
[final] ).
cnf(c_0_748,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| 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_52,c_0_440]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| 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_46,c_0_440]),
[final] ).
cnf(c_0_750,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| 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_42,c_0_440]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_334]),c_0_51]),
[final] ).
cnf(c_0_752,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_123]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_123]),c_0_37]),
[final] ).
cnf(c_0_754,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_123]),c_0_174]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_123]),c_0_128]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_339]),c_0_51]),
[final] ).
cnf(c_0_757,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_440]),c_0_51]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_441]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_441]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_441]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_441]),c_0_88]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_279]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_279]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_279]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_263]),
[final] ).
cnf(c_0_766,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_263]),
[final] ).
cnf(c_0_767,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_263]),
[final] ).
cnf(c_0_768,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_385]),
[final] ).
cnf(c_0_769,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_385]),
[final] ).
cnf(c_0_770,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_385]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_442]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_442]),
[final] ).
cnf(c_0_773,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_442]),
[final] ).
cnf(c_0_774,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_385]),c_0_88]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product1(e_1,e_3,e_2)
| 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_52,c_0_443]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product1(e_1,e_3,e_2)
| 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_46,c_0_443]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product1(e_1,e_3,e_2)
| 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_42,c_0_443]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_444]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_444]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_444]),
[final] ).
cnf(c_0_781,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_259]),
[final] ).
cnf(c_0_782,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_259]),
[final] ).
cnf(c_0_783,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_259]),c_0_88]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_445]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_445]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_445]),
[final] ).
cnf(c_0_787,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_445]),c_0_59]),
[final] ).
cnf(c_0_788,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_281]),
[final] ).
cnf(c_0_789,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_281]),
[final] ).
cnf(c_0_790,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_281]),
[final] ).
cnf(c_0_791,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_281]),c_0_80]),
[final] ).
cnf(c_0_792,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_281]),c_0_88]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_346]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_346]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_346]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_346]),c_0_174]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_349]),
[final] ).
cnf(c_0_798,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_349]),
[final] ).
cnf(c_0_799,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_349]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_223]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_223]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_223]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_390]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_390]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_390]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_264]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_264]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_249]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_249]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_249]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_264]),c_0_73]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_249]),c_0_59]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_249]),c_0_37]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_446]),c_0_128]),
[final] ).
cnf(c_0_815,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_442]),c_0_88]),c_0_416]),
[final] ).
cnf(c_0_816,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_446]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_446]),
[final] ).
cnf(c_0_818,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_305]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_305]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_446]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_390]),c_0_80]),c_0_416]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_141]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_141]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_447]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_447]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_447]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_189]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_189]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_177]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_177]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_189]),c_0_73]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_177]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_177]),c_0_59]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_177]),c_0_37]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_284]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_284]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_141]),c_0_88]),c_0_81]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_284]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_165]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_448]),c_0_51]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_165]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_165]),c_0_59]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_448]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_448]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_237]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_237]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_237]),
[final] ).
cnf(c_0_848,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_448]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_237]),c_0_73]),
[final] ).
cnf(c_0_850,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_278]),
[final] ).
cnf(c_0_851,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_278]),
[final] ).
cnf(c_0_852,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_278]),
[final] ).
cnf(c_0_853,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_225]),
[final] ).
cnf(c_0_854,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_225]),
[final] ).
cnf(c_0_855,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_225]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_284]),c_0_80]),c_0_416]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_449]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_392]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_449]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_449]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_449]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_392]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_392]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_392]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_313]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_313]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_313]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_450]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_450]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_450]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_451]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_451]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_451]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_451]),c_0_88]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_167]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_167]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_167]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_167]),c_0_63]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_167]),c_0_55]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_191]),
[final] ).
cnf(c_0_881,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_191]),
[final] ).
cnf(c_0_882,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_191]),
[final] ).
cnf(c_0_883,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_121]),
[final] ).
cnf(c_0_884,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_121]),
[final] ).
cnf(c_0_885,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_121]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_351]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_351]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_351]),
[final] ).
cnf(c_0_889,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_113]),
[final] ).
cnf(c_0_890,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_113]),
[final] ).
cnf(c_0_891,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_113]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_255]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_255]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_255]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_255]),c_0_88]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_397]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_397]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_397]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_397]),c_0_80]),c_0_416]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_353]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_353]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_353]),
[final] ).
cnf(c_0_903,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_348]),
[final] ).
cnf(c_0_904,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_348]),
[final] ).
cnf(c_0_905,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_348]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_452]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_452]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_452]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_353]),c_0_174]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product2(e_2,e_1,e_2)
| 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_52,c_0_399]),
[final] ).
cnf(c_0_911,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_178]),
[final] ).
cnf(c_0_912,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_178]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product2(e_2,e_1,e_2)
| 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_46,c_0_399]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product2(e_2,e_1,e_2)
| 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_42,c_0_399]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_399]),c_0_88]),
[final] ).
cnf(c_0_916,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_34]),
[final] ).
cnf(c_0_917,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_65]),
[final] ).
cnf(c_0_918,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_30]),
[final] ).
cnf(c_0_919,plain,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_40]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_454]),
[final] ).
cnf(c_0_921,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_34]),
[final] ).
cnf(c_0_922,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_65]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_401]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_454]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_454]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_454]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_401]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_401]),
[final] ).
cnf(c_0_929,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_30]),
[final] ).
cnf(c_0_930,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_40]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_401]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_221]),
[final] ).
cnf(c_0_933,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_34]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_221]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_79]),
[final] ).
cnf(c_0_936,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_79]),
[final] ).
cnf(c_0_937,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_65]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_79]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_316]),
[final] ).
cnf(c_0_940,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_316]),
[final] ).
cnf(c_0_941,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_316]),
[final] ).
cnf(c_0_942,plain,
( product(e_1,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_30]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_221]),c_0_59]),
[final] ).
cnf(c_0_944,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_221]),c_0_37]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_209]),
[final] ).
cnf(c_0_946,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_40]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_209]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_66]),
[final] ).
cnf(c_0_949,plain,
( product(e_1,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_457,c_0_34]),
[final] ).
cnf(c_0_950,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_457,c_0_65]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_66]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_66]),
[final] ).
cnf(c_0_953,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_457,c_0_30]),
[final] ).
cnf(c_0_954,plain,
( product(e_1,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_457,c_0_40]),
[final] ).
cnf(c_0_955,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_458,c_0_34]),
[final] ).
cnf(c_0_956,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_458,c_0_65]),
[final] ).
cnf(c_0_957,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_232]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_309]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_309]),
[final] ).
cnf(c_0_960,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_309]),
[final] ).
cnf(c_0_961,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_458,c_0_30]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_309]),c_0_73]),
[final] ).
cnf(c_0_963,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_458,c_0_40]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_269]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_269]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_269]),
[final] ).
cnf(c_0_967,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_34]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_139]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_139]),c_0_51]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_139]),c_0_77]),
[final] ).
cnf(c_0_971,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_65]),
[final] ).
cnf(c_0_972,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_30]),
[final] ).
cnf(c_0_973,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_232]),
[final] ).
cnf(c_0_974,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_232]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product2(e_4,e_2,e_2)
| 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_52,c_0_318]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product2(e_4,e_2,e_2)
| 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_46,c_0_318]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product2(e_4,e_2,e_2)
| 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_42,c_0_318]),
[final] ).
cnf(c_0_978,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_40]),
[final] ).
cnf(c_0_979,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_103]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_291]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_291]),
[final] ).
cnf(c_0_982,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_291]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_318]),c_0_174]),
[final] ).
cnf(c_0_984,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_34]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_291]),c_0_97]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_291]),c_0_51]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_345]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_345]),
[final] ).
cnf(c_0_989,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_65]),
[final] ).
cnf(c_0_990,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_103]),
[final] ).
cnf(c_0_991,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_182]),
[final] ).
cnf(c_0_992,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_182]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_345]),
[final] ).
cnf(c_0_994,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_30]),
[final] ).
cnf(c_0_995,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_182]),
[final] ).
cnf(c_0_996,negated_conjecture,
( product2(e_1,e_2,e_2)
| 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_46,c_0_266]),
[final] ).
cnf(c_0_997,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_40]),
[final] ).
cnf(c_0_998,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_94]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product2(e_1,e_2,e_2)
| 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_42,c_0_266]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_251]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_251]),
[final] ).
cnf(c_0_1002,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_218]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_251]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_266]),c_0_73]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_251]),c_0_59]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_251]),c_0_37]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_206]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_206]),c_0_37]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_206]),c_0_128]),
[final] ).
cnf(c_0_1010,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_461,c_0_34]),
[final] ).
cnf(c_0_1011,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_218]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( product2(e_2,e_4,e_2)
| 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_52,c_0_462]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product2(e_2,e_4,e_2)
| 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_46,c_0_462]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product2(e_2,e_4,e_2)
| 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_42,c_0_462]),
[final] ).
cnf(c_0_1015,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_461,c_0_65]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_403]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_403]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_403]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_403]),c_0_88]),
[final] ).
cnf(c_0_1020,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_205]),
[final] ).
cnf(c_0_1021,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_147]),
[final] ).
cnf(c_0_1022,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_147]),
[final] ).
cnf(c_0_1023,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_147]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_463]),
[final] ).
cnf(c_0_1025,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_461,c_0_30]),
[final] ).
cnf(c_0_1026,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_90]),
[final] ).
cnf(c_0_1027,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_90]),
[final] ).
cnf(c_0_1028,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_90]),
[final] ).
cnf(c_0_1029,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_127]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_463]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_463]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_463]),c_0_97]),
[final] ).
cnf(c_0_1033,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_461,c_0_40]),
[final] ).
cnf(c_0_1034,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_127]),
[final] ).
cnf(c_0_1035,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_127]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_119]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_119]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_119]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_45]),
[final] ).
cnf(c_0_1040,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_183]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_183]),c_0_88]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_464]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_464]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_464]),
[final] ).
cnf(c_0_1045,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_45]),
[final] ).
cnf(c_0_1046,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_114]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_114]),c_0_51]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_114]),c_0_77]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_464]),c_0_73]),
[final] ).
cnf(c_0_1050,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_161]),
[final] ).
cnf(c_0_1051,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_161]),
[final] ).
cnf(c_0_1052,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_161]),
[final] ).
cnf(c_0_1053,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_149]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_232]),c_0_37]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( equalish(X1,e_4)
| ~ product2(X1,e_1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_285]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( equalish(X1,e_2)
| ~ product2(e_4,e_1,X1)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_42,c_0_285]),
[final] ).
cnf(c_0_1057,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_171]),
[final] ).
cnf(c_0_1058,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_130]),
[final] ).
cnf(c_0_1059,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_130]),
[final] ).
cnf(c_0_1060,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_101]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_101]),c_0_55]),
[final] ).
cnf(c_0_1062,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_130]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_103]),c_0_55]),
[final] ).
cnf(c_0_1064,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_92]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_92]),c_0_55]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_182]),c_0_77]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_94]),c_0_55]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_201]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_201]),
[final] ).
cnf(c_0_1070,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_85]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( equalish(X1,e_1)
| ~ product2(X1,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_72]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( equalish(X1,e_2)
| ~ product2(e_1,e_4,X1)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_42,c_0_72]),
[final] ).
cnf(c_0_1073,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_68]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| ~ product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_218]),c_0_77]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| ~ product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_205]),c_0_37]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( 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_42,c_0_242]),
[final] ).
cnf(c_0_1077,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_228]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_242]),c_0_55]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_242]),c_0_63]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product1(e_4,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_201]),c_0_37]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_201]),c_0_59]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_164]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_164]),c_0_77]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_164]),c_0_73]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_143]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_143]),
[final] ).
cnf(c_0_1087,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_192]),
[final] ).
cnf(c_0_1088,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_192]),
[final] ).
cnf(c_0_1089,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_192]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_105]),
[final] ).
cnf(c_0_1091,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_125]),
[final] ).
cnf(c_0_1092,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_125]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_106]),
[final] ).
cnf(c_0_1094,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_116]),
[final] ).
cnf(c_0_1095,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_106]),
[final] ).
cnf(c_0_1096,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_106]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_105]),
[final] ).
cnf(c_0_1098,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_87]),
[final] ).
cnf(c_0_1099,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_87]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_105]),
[final] ).
cnf(c_0_1101,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]),
[final] ).
cnf(c_0_1102,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_39]),
[final] ).
cnf(c_0_1103,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_75]),
[final] ).
cnf(c_0_1104,negated_conjecture,
( equalish(X1,X2)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_465,c_0_43]),
[final] ).
cnf(c_0_1105,negated_conjecture,
~ product1(e_1,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_466]),c_0_128]),
[final] ).
cnf(c_0_1106,negated_conjecture,
~ product1(e_4,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_467]),c_0_77]),
[final] ).
cnf(c_0_1107,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_468,c_0_32]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP123-9.004 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 18:27:31 EDT 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 2.03/1.86 % Version : CSE_E---1.7
% 2.03/1.86 % Problem : theBenchmark.p
% 2.03/1.86 % SZS status Satisfiable for theBenchmark.p
% 2.03/1.86 % SZS output start Saturation
% See solution above
% 2.03/1.87 % Total time : 1.361s
%------------------------------------------------------------------------------