%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP125-1.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 04:23:58 PM UTC 2026
% Result : Satisfiable 2.18s 1.97s
% Output : Saturation 2.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(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_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(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(qg3,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
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(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
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_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_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_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
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(c_0_22,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_23,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_24,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_25,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_26,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_27,plain,
( product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_28,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_29,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_24]),
[final] ).
cnf(c_0_30,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_31,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]),
[final] ).
cnf(c_0_32,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_34,plain,
( product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]),
[final] ).
cnf(c_0_35,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_36,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_37,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]),
[final] ).
cnf(c_0_38,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_39,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_40,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg3,
[final] ).
cnf(c_0_42,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_35]),c_0_36]),
[final] ).
cnf(c_0_43,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_44,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
[final] ).
cnf(c_0_45,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]),
[final] ).
cnf(c_0_47,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_43]),c_0_36]),
[final] ).
cnf(c_0_48,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_44]),
[final] ).
cnf(c_0_49,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_45]),c_0_39]),
[final] ).
cnf(c_0_50,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_52,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_53,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_54,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_47]),
[final] ).
cnf(c_0_55,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_51]),
[final] ).
cnf(c_0_56,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_57,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]),
[final] ).
cnf(c_0_58,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_26]),
[final] ).
cnf(c_0_59,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_61,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_56]),
[final] ).
cnf(c_0_62,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]),
[final] ).
cnf(c_0_63,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_64,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_65,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_66,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_62]),
[final] ).
cnf(c_0_67,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_63]),c_0_51]),
[final] ).
cnf(c_0_68,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_64]),c_0_65]),
[final] ).
cnf(c_0_69,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_60]) ).
cnf(c_0_70,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_71,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_68]),
[final] ).
cnf(c_0_72,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_69]),c_0_70]),
[final] ).
cnf(c_0_73,plain,
( product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]),
[final] ).
cnf(c_0_74,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_36]) ).
cnf(c_0_75,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_76,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_67]) ).
cnf(c_0_78,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_77]),c_0_51]) ).
cnf(c_0_80,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]),
[final] ).
cnf(c_0_81,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_60]) ).
cnf(c_0_82,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_83,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_49]),
[final] ).
cnf(c_0_84,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_80]),
[final] ).
cnf(c_0_85,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_81]),c_0_82]),
[final] ).
cnf(c_0_86,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_87,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_52]) ).
cnf(c_0_88,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_55]),
[final] ).
cnf(c_0_89,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_47]) ).
cnf(c_0_92,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_89]),c_0_60]) ).
cnf(c_0_93,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_67]),c_0_60]) ).
cnf(c_0_94,plain,
( product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_49]),
[final] ).
cnf(c_0_95,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_91]),c_0_60]),
[final] ).
cnf(c_0_96,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_52]),
[final] ).
cnf(c_0_97,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_92]),c_0_70]),
[final] ).
cnf(c_0_98,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_93]),c_0_70]),
[final] ).
cnf(c_0_99,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_65]),
[final] ).
cnf(c_0_100,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_36]) ).
cnf(c_0_101,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_87]) ).
cnf(c_0_102,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_98]),c_0_86]) ).
cnf(c_0_103,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_99]),
[final] ).
cnf(c_0_104,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_4,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_101,c_0_44]) ).
cnf(c_0_106,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_102]),c_0_60]) ).
cnf(c_0_107,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_55]),
[final] ).
cnf(c_0_108,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_44]) ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_97]),
[final] ).
cnf(c_0_110,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_4,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_44]) ).
cnf(c_0_111,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_62]),
[final] ).
cnf(c_0_112,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_113,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_106]),c_0_70]),
[final] ).
cnf(c_0_115,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_70]) ).
cnf(c_0_116,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_23]),
[final] ).
cnf(c_0_117,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_51]) ).
cnf(c_0_118,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_36]) ).
cnf(c_0_120,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_115]),c_0_60]) ).
cnf(c_0_121,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_116]),
[final] ).
cnf(c_0_122,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_117]),c_0_70]),
[final] ).
cnf(c_0_123,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_118]),c_0_70]) ).
cnf(c_0_124,negated_conjecture,
( product(X1,X2,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]),
[final] ).
cnf(c_0_125,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_119]),c_0_70]),
[final] ).
cnf(c_0_126,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_120]),c_0_51]),
[final] ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_60]) ).
cnf(c_0_128,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_123]),c_0_36]),c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_125]),c_0_60]) ).
cnf(c_0_130,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_126]),c_0_60]) ).
cnf(c_0_131,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_85]),
[final] ).
cnf(c_0_132,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_127]),c_0_75]) ).
cnf(c_0_133,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_128]),c_0_75]) ).
cnf(c_0_134,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_98]),
[final] ).
cnf(c_0_135,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_129]),c_0_75]) ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_67]),
[final] ).
cnf(c_0_137,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_80]),
[final] ).
cnf(c_0_138,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_130]),c_0_70]),
[final] ).
cnf(c_0_139,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_80]),
[final] ).
cnf(c_0_140,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_142,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_133]) ).
cnf(c_0_144,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_42]) ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_75]) ).
cnf(c_0_147,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_141]),c_0_142]),
[final] ).
cnf(c_0_149,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_143]),c_0_82]) ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_144]),c_0_142]),
[final] ).
cnf(c_0_151,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_145]),c_0_51]) ).
cnf(c_0_152,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_146]),c_0_60]) ).
cnf(c_0_153,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_147]),c_0_33]) ).
cnf(c_0_154,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_148]) ).
cnf(c_0_155,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_149]) ).
cnf(c_0_156,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_150]) ).
cnf(c_0_157,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_151]),c_0_60]) ).
cnf(c_0_158,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_44]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_140]),
[final] ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_152]),c_0_70]),
[final] ).
cnf(c_0_161,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_153]),c_0_60]) ).
cnf(c_0_162,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_154]),c_0_51]) ).
cnf(c_0_163,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_155]) ).
cnf(c_0_164,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_156]),c_0_51]) ).
cnf(c_0_165,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_140]),
[final] ).
cnf(c_0_166,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_157]),c_0_82]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_158]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_169,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_161]),c_0_70]),
[final] ).
cnf(c_0_170,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_162]) ).
cnf(c_0_171,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_140]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_114]),c_0_36]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_164]) ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_86]) ).
cnf(c_0_175,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_133]) ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_167,c_0_49]),
[final] ).
cnf(c_0_177,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_168]),c_0_60]) ).
cnf(c_0_178,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_169]) ).
cnf(c_0_179,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_148]) ).
cnf(c_0_180,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_75]) ).
cnf(c_0_181,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_150]) ).
cnf(c_0_182,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_174]),c_0_60]) ).
cnf(c_0_183,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_49]) ).
cnf(c_0_184,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_176]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_177]),c_0_70]) ).
cnf(c_0_186,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_178]),c_0_60]) ).
cnf(c_0_187,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_179]),c_0_60]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_180]),c_0_60]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_181]),c_0_60]),
[final] ).
cnf(c_0_190,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_182]),c_0_70]),
[final] ).
cnf(c_0_191,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]),
[final] ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_183]),c_0_82]) ).
cnf(c_0_193,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_36]) ).
cnf(c_0_194,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_126]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_186]),c_0_70]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_187]),
[final] ).
cnf(c_0_197,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_97]) ).
cnf(c_0_198,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_85]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_188]),c_0_70]),
[final] ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_189]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_114]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_190]) ).
cnf(c_0_203,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_126]),
[final] ).
cnf(c_0_204,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_68]),c_0_86]) ).
cnf(c_0_205,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_192]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_193]),c_0_51]),
[final] ).
cnf(c_0_207,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_33]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_196,c_0_85]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_197]),c_0_60]) ).
cnf(c_0_210,plain,
( product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]),
[final] ).
cnf(c_0_211,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_172]),c_0_60]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_199]) ).
cnf(c_0_213,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_200,c_0_98]),
[final] ).
cnf(c_0_214,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_201]),c_0_60]) ).
cnf(c_0_215,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_202]),c_0_60]) ).
cnf(c_0_216,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_203,c_0_42]) ).
cnf(c_0_217,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_204]),c_0_51]),
[final] ).
cnf(c_0_218,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_47]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_199]),c_0_36]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_55]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_206]),c_0_36]) ).
cnf(c_0_222,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_207]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_208]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_209]),c_0_70]) ).
cnf(c_0_225,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_65]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_212]),c_0_60]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_213]),
[final] ).
cnf(c_0_228,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_214]),c_0_70]) ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_67]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_215]),c_0_70]) ).
cnf(c_0_231,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_216]),c_0_51]) ).
cnf(c_0_232,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_217]),c_0_124]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_65]) ).
cnf(c_0_234,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_169]),c_0_33]),c_0_124]) ).
cnf(c_0_235,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_206]),c_0_65]) ).
cnf(c_0_236,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_221]) ).
cnf(c_0_237,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_206]),c_0_33]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_33]),
[final] ).
cnf(c_0_239,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_225]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_226]),c_0_70]) ).
cnf(c_0_241,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_33]),
[final] ).
cnf(c_0_242,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_33]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_231]) ).
cnf(c_0_244,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_232]),c_0_75]),
[final] ).
cnf(c_0_245,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_233]),c_0_51]),
[final] ).
cnf(c_0_246,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_234]),c_0_51]),
[final] ).
cnf(c_0_247,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_116]),c_0_86]) ).
cnf(c_0_248,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_235]),c_0_51]),
[final] ).
cnf(c_0_249,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_237]),
[final] ).
cnf(c_0_251,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_238]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_36]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_241]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_242]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_70]) ).
cnf(c_0_256,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_245]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_195]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_246]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_160]),
[final] ).
cnf(c_0_260,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_247]),c_0_60]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_248]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_249]),c_0_82]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_250,c_0_221]) ).
cnf(c_0_264,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_187]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_251,c_0_68]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_252]),
[final] ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_189]),
[final] ).
cnf(c_0_268,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_253,c_0_68]) ).
cnf(c_0_269,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_254,c_0_74]) ).
cnf(c_0_270,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_255]),c_0_82]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_42]) ).
cnf(c_0_272,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_257,c_0_140]),
[final] ).
cnf(c_0_273,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_258,c_0_42]) ).
cnf(c_0_274,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_259,c_0_140]),
[final] ).
cnf(c_0_275,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_217]),
[final] ).
cnf(c_0_276,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_260]),c_0_70]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_261,c_0_42]) ).
cnf(c_0_278,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_262]),
[final] ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_263]),c_0_82]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_169]),
[final] ).
cnf(c_0_281,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_207]),c_0_60]) ).
cnf(c_0_282,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_39]) ).
cnf(c_0_283,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_266,c_0_128]) ).
cnf(c_0_284,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_39]) ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_190]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_269]),c_0_82]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_270]),c_0_86]) ).
cnf(c_0_288,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_138]),c_0_60]) ).
cnf(c_0_289,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_199]),
[final] ).
cnf(c_0_290,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_271]),c_0_51]) ).
cnf(c_0_291,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_272]),c_0_86]) ).
cnf(c_0_292,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_169]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_273]),c_0_51]) ).
cnf(c_0_294,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_274]),c_0_86]) ).
cnf(c_0_295,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_33]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_262]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_277]),c_0_51]) ).
cnf(c_0_298,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_280,c_0_80]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_281]),c_0_75]),
[final] ).
cnf(c_0_301,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_158]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_97]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_282]),c_0_82]),
[final] ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_199]),
[final] ).
cnf(c_0_305,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_283]),c_0_82]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_114]),
[final] ).
cnf(c_0_307,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_284]),c_0_82]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_287]),c_0_60]) ).
cnf(c_0_310,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_288]),c_0_75]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_42]) ).
cnf(c_0_312,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_211]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_39]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_172]),
[final] ).
cnf(c_0_315,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_158]),
[final] ).
cnf(c_0_316,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_52]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_291]),c_0_51]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_39]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_294]),c_0_51]),
[final] ).
cnf(c_0_320,plain,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_295]),c_0_75]),
[final] ).
cnf(c_0_321,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_39]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_298]),c_0_75]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_299]),c_0_75]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_300]),c_0_65]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_195]),c_0_36]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_195]),c_0_36]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_308]),c_0_75]),
[final] ).
cnf(c_0_331,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_309]),c_0_70]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_310]),c_0_65]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_187]),c_0_65]),
[final] ).
cnf(c_0_334,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_311]),c_0_51]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_189]),c_0_65]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_313]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_314,c_0_219]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_217]),c_0_60]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_217]),c_0_60]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_317]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_317]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_317]),
[final] ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_317]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_318]),
[final] ).
cnf(c_0_345,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_318]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_318]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_318]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_319]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_319]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_319]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_319]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_320]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_272]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_274]),
[final] ).
cnf(c_0_355,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_320]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_295]),
[final] ).
cnf(c_0_357,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_320]),
[final] ).
cnf(c_0_358,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_320]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_272]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_272]),
[final] ).
cnf(c_0_361,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_272]),
[final] ).
cnf(c_0_362,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_274]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_274]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_274]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_246]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_246]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_246]),
[final] ).
cnf(c_0_368,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_321]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_321]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_321]),
[final] ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_321]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_322]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_298]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_322]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_322]),
[final] ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_322]),
[final] ).
cnf(c_0_377,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_298]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_298]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_298]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_262]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_262]),
[final] ).
cnf(c_0_382,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_279]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_279]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_279]),
[final] ).
cnf(c_0_385,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_279]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_248]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_248]),
[final] ).
cnf(c_0_388,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_248]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_206]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_237]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_237]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_237]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_206]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_206]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_206]),
[final] ).
cnf(c_0_396,plain,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_295]),
[final] ).
cnf(c_0_397,plain,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_295]),
[final] ).
cnf(c_0_398,plain,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_295]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_323]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_299]),
[final] ).
cnf(c_0_401,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_323]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_323]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_323]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_299]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_299]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_299]),
[final] ).
cnf(c_0_407,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_324]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_300]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_324]),
[final] ).
cnf(c_0_410,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_324]),
[final] ).
cnf(c_0_411,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_324]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_300]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_300]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_300]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_325]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_326]),
[final] ).
cnf(c_0_417,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_276]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_325]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_325]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_325]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_326]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_326]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_326]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_207]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_207]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_207]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_195]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_195]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_195]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_169]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_169]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_327]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_303]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_327]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_327]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_327]),
[final] ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_303]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_303]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_303]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_328]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_305]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_328]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_328]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_328]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_305]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_305]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_305]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_252]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_252]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_252]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_329]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_307]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_329]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_329]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_329]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_307]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_307]),
[final] ).
cnf(c_0_458,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_307]),
[final] ).
cnf(c_0_459,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_330]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_308]),
[final] ).
cnf(c_0_461,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_286]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_330]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_330]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_330]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_308]),
[final] ).
cnf(c_0_466,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_308]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_308]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_286]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_286]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_286]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_242]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_242]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_242]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_238]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_238]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_238]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_241]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_241]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_241]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_331]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_331]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_331]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_331]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_160]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_160]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_160]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_332]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_310]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_332]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_332]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_332]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_310]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_310]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_310]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_244]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_232]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_270]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_270]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_270]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_270]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_244]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_244]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_244]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_232]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_232]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_232]),
[final] ).
cnf(c_0_507,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_276]),
[final] ).
cnf(c_0_508,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_276]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_138]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_138]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_138]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_138]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_126]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_126]),
[final] ).
cnf(c_0_515,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_276]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_208]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_333]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_208]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_208]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_333]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_333]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_333]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_187]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_187]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_95]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_99]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_99]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_99]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_95]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_95]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_95]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_334]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_148]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_148]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_148]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_148]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_213]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_335]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_213]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_213]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_335]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_335]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_335]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_189]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_189]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_336]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_313]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_336]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_336]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_336]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_313]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_313]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_313]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_122]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_122]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_122]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_122]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_150]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_150]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_150]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_150]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_245]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_245]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_245]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_337]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_219]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_337]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_337]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_337]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_219]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_219]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_219]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_199]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_199]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_190]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_190]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_190]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_97]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_97]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_338]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_125]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_125]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_125]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_125]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_225]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_225]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_225]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_211]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_211]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_211]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_172]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_172]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_172]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_114]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_339]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_114]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_114]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_166]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_166]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_166]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_166]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_85]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_85]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_72]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_72]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_72]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_72]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_98]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_98]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_98]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_67]),
[final] ).
cnf(c_0_612,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_334]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_334]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_334]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_116]),
[final] ).
cnf(c_0_618,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_116]),
[final] ).
cnf(c_0_619,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_116]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_338]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_338]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_338]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_339]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_339]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_339]),
[final] ).
cnf(c_0_626,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_140]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_217]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_176]),
[final] ).
cnf(c_0_629,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_217]),
[final] ).
cnf(c_0_630,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_217]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_176]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_176]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_62]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_62]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_68]),
[final] ).
cnf(c_0_636,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_47]),
[final] ).
cnf(c_0_637,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_47]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_158]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]),
[final] ).
cnf(c_0_640,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_68]),
[final] ).
cnf(c_0_641,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_68]),
[final] ).
cnf(c_0_642,plain,
( product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_49]),
[final] ).
cnf(c_0_643,plain,
( product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]),
[final] ).
cnf(c_0_644,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]),
[final] ).
cnf(c_0_645,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_42]),
[final] ).
cnf(c_0_646,plain,
( product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_44]),
[final] ).
cnf(c_0_647,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_80]),
[final] ).
cnf(c_0_648,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_649,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_58,c_0_26]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP125-1.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:22:51 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 2.18/1.97 % Version : CSE_E---1.7
% 2.18/1.97 % Problem : theBenchmark.p
% 2.18/1.97 % SZS status Satisfiable for theBenchmark.p
% 2.18/1.97 % SZS output start Saturation
% See solution above
% 2.18/1.98 % Total time : 1.369s
%------------------------------------------------------------------------------