%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP129-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:38:36 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.65s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 21
% Syntax : Number of clauses : 212 ( 49 unt; 98 nHn; 212 RR)
% Number of literals : 547 ( 0 equ; 189 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 127 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(no_redundancy,axiom,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_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(product_left_cancellation,axiom,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(product_right_cancellation,axiom,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
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_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(qg3,negated_conjecture,
( ~ product(X2,X3,X4)
| ~ product(X1,X2,X3)
| product(X3,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(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(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(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_total_function2,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_0_21,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
inference(fof_simplification,[status(thm)],[product_total_function1]) ).
cnf(c_0_22,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
inference(fof_simplification,[status(thm)],[no_redundancy]) ).
cnf(c_0_23,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_21 ).
cnf(c_0_24,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_25,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_22 ).
cnf(c_0_26,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_27,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_30,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_31,plain,
~ equalish(e_1,e_4),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_4]) ).
cnf(c_0_32,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).
cnf(c_0_33,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_34,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_36,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).
cnf(c_0_37,plain,
~ equalish(e_2,e_1),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).
cnf(c_0_38,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_39,plain,
~ equalish(e_1,e_4),
c_0_31 ).
cnf(c_0_40,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_32 ).
cnf(c_0_41,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( ~ product(X2,X3,X4)
| ~ product(X1,X2,X3)
| product(X3,X1,X4) ),
inference(fof_simplification,[status(thm)],[qg3]) ).
cnf(c_0_44,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_36 ).
cnf(c_0_45,plain,
~ equalish(e_1,e_3),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).
cnf(c_0_46,plain,
~ equalish(e_2,e_1),
c_0_37 ).
cnf(c_0_47,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_48,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_49,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_50,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( ~ product(X2,X3,X4)
| ~ product(X1,X2,X3)
| product(X3,X1,X4) ),
c_0_43 ).
cnf(c_0_53,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_54,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_55,plain,
~ equalish(e_1,e_3),
c_0_45 ).
cnf(c_0_56,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_57,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_58,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_59,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_60,plain,
( ~ product(e_4,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_62,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_53]) ).
cnf(c_0_63,plain,
( ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_64,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_65,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_66,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_44]) ).
cnf(c_0_67,plain,
( ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_51]) ).
cnf(c_0_68,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,plain,
( ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_70,plain,
~ equalish(e_3,e_4),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_4]) ).
cnf(c_0_71,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_4,e_1,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_60]) ).
cnf(c_0_72,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_73,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_74,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_65]) ).
cnf(c_0_75,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_51]) ).
cnf(c_0_76,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_68]),c_0_69]) ).
cnf(c_0_78,plain,
~ equalish(e_3,e_4),
c_0_70 ).
cnf(c_0_79,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_2)
| 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_71,c_0_62]) ).
cnf(c_0_80,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_74]),c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_68]) ).
cnf(c_0_84,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_77]) ).
cnf(c_0_85,plain,
~ equalish(e_2,e_4),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_4]) ).
cnf(c_0_86,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_40]) ).
cnf(c_0_87,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_62]),c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_2)
| 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_81,c_0_74]) ).
cnf(c_0_89,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_82]) ).
cnf(c_0_90,plain,
~ equalish(e_2,e_3),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_3]) ).
cnf(c_0_91,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_68]),c_0_84]) ).
cnf(c_0_92,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_23,c_0_47]) ).
cnf(c_0_93,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_23,c_0_65]) ).
cnf(c_0_94,plain,
~ equalish(e_2,e_4),
c_0_85 ).
cnf(c_0_95,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_74]),c_0_89]) ).
cnf(c_0_97,plain,
~ equalish(e_2,e_3),
c_0_90 ).
cnf(c_0_98,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_1,X1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_91]) ).
cnf(c_0_99,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_24]) ).
cnf(c_0_100,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_24]) ).
cnf(c_0_101,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_75]) ).
cnf(c_0_102,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_47]) ).
cnf(c_0_103,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_91]) ).
cnf(c_0_104,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_40]) ).
cnf(c_0_105,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_40]) ).
cnf(c_0_107,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
inference(fof_simplification,[status(thm)],[product_total_function2]) ).
cnf(c_0_108,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_69]) ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_42]) ).
cnf(c_0_110,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_100]),c_0_52]) ).
cnf(c_0_111,plain,
( ~ product(e_2,e_1,e_2)
| 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_101,c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_102]),c_0_103]) ).
cnf(c_0_113,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_114,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_107 ).
cnf(c_0_115,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_99]),c_0_109]) ).
cnf(c_0_116,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_91]),c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_113,c_0_91]) ).
cnf(c_0_119,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_54,c_0_91]) ).
cnf(c_0_120,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_115]) ).
cnf(c_0_122,plain,
( ~ product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_116]) ).
cnf(c_0_124,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_91]) ).
cnf(c_0_126,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_112]),c_0_52]),c_0_56]) ).
cnf(c_0_127,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_103]),c_0_122]),c_0_56]) ).
cnf(c_0_128,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_114]) ).
cnf(c_0_129,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_91]) ).
cnf(c_0_130,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_124]),c_0_125]) ).
cnf(c_0_131,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_132,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_65]) ).
cnf(c_0_133,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_129]) ).
cnf(c_0_134,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_67]) ).
cnf(c_0_135,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_67]) ).
cnf(c_0_136,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_114]) ).
cnf(c_0_137,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_130]) ).
cnf(c_0_138,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_102,c_0_131]) ).
cnf(c_0_139,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_91]) ).
cnf(c_0_141,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_118]),c_0_135]),c_0_136]) ).
cnf(c_0_142,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_126]) ).
cnf(c_0_143,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_122,c_0_142]) ).
cnf(c_0_145,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_144]) ).
cnf(c_0_147,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_145,c_0_142]) ).
cnf(c_0_148,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_144]) ).
cnf(c_0_149,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_119]) ).
cnf(c_0_150,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_125]) ).
cnf(c_0_151,negated_conjecture,
( ~ product(X1,e_2,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_142]) ).
cnf(c_0_152,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_153,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_23,c_0_53]) ).
cnf(c_0_154,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_119]),c_0_131]),c_0_149]) ).
cnf(c_0_155,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_125]),c_0_131]),c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_58]) ).
cnf(c_0_157,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_153,c_0_47]) ).
cnf(c_0_158,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_154]),c_0_58]),c_0_149]) ).
cnf(c_0_159,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_47]) ).
cnf(c_0_160,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_155]),c_0_58]),c_0_150]) ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_151,c_0_156]) ).
cnf(c_0_162,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_44]) ).
cnf(c_0_163,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_114]) ).
cnf(c_0_164,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_44]) ).
cnf(c_0_165,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_166,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_167,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_161]),c_0_162]),c_0_163]) ).
cnf(c_0_168,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_44]) ).
cnf(c_0_169,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_170,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_153,c_0_24]) ).
cnf(c_0_171,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_172,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_63]) ).
cnf(c_0_173,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_161]),c_0_168]) ).
cnf(c_0_176,plain,
( ~ product(e_4,e_1,e_2)
| 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_169,c_0_170]) ).
cnf(c_0_177,plain,
( ~ product(e_3,e_1,e_2)
| 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_171,c_0_170]) ).
cnf(c_0_178,plain,
( ~ product(e_2,e_1,e_2)
| 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_172,c_0_170]) ).
cnf(c_0_179,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_180,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_118]),c_0_177]),c_0_178]) ).
cnf(c_0_181,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_179]) ).
cnf(c_0_182,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_183,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_73]) ).
cnf(c_0_184,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_161]),c_0_131]) ).
cnf(c_0_185,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_174]) ).
cnf(c_0_187,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_115]) ).
cnf(c_0_188,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_118]),c_0_136]),c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_184]),c_0_58]) ).
cnf(c_0_190,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_185,c_0_179]) ).
cnf(c_0_191,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).
cnf(c_0_192,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_189]),c_0_142]) ).
cnf(c_0_193,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_190]) ).
cnf(c_0_194,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_191]),c_0_192])]) ).
cnf(c_0_195,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_190]) ).
cnf(c_0_196,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_197,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_196]) ).
cnf(c_0_198,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_196]) ).
cnf(c_0_199,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_116]) ).
cnf(c_0_200,negated_conjecture,
product(e_2,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_194]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).
cnf(c_0_202,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_201]) ).
cnf(c_0_203,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_143]) ).
cnf(c_0_204,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_202,c_0_91]) ).
cnf(c_0_205,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_200]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_58]) ).
cnf(c_0_207,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_208,negated_conjecture,
( ~ product(X1,e_2,e_2)
| product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_192]) ).
cnf(c_0_209,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_207]),c_0_200])]) ).
cnf(c_0_210,negated_conjecture,
product(e_2,e_1,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_167]) ).
cnf(c_0_211,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_210]),c_0_192])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP129-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 19:58:35 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.65 % Version: 3.5.1
% 0.23/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.65 % Starting sh5l with 300s (1) cores
% 0.23/0.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3451714 completed with status 0
% 0.23/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.23/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.65 % No SInE strategy applied
% 0.23/0.65 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.23/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.23/0.65 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.23/0.65 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.65 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.65 % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 3451722 completed with status 0
% 0.23/0.65 % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.23/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.65 % No SInE strategy applied
% 0.23/0.65 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.23/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.23/0.65 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.23/0.65 % Preprocessing time : 0.002 s
% 0.23/0.65 % Presaturation interreduction done
% 0.23/0.65
% 0.23/0.65 % Proof found!
% 0.23/0.65 % SZS status Unsatisfiable
% 0.23/0.65 % SZS output start CNFRefutation
% See solution above
% 0.23/0.65 % Parsed axioms : 31
% 0.23/0.65 % Removed by relevancy pruning/SinE : 0
% 0.23/0.65 % Initial clauses : 31
% 0.23/0.65 % Removed in clause preprocessing : 0
% 0.23/0.65 % Initial clauses in saturation : 31
% 0.23/0.65 % Processed clauses : 662
% 0.23/0.65 % ...of these trivial : 0
% 0.23/0.65 % ...subsumed : 108
% 0.23/0.65 % ...remaining for further processing : 554
% 0.23/0.65 % Other redundant clauses eliminated : 0
% 0.23/0.65 % Clauses deleted for lack of memory : 0
% 0.23/0.65 % Backward-subsumed : 248
% 0.23/0.65 % Backward-rewritten : 68
% 0.23/0.65 % Generated clauses : 1316
% 0.23/0.65 % ...of the previous two non-redundant : 1127
% 0.23/0.65 % ...aggressively subsumed : 0
% 0.23/0.65 % Contextual simplify-reflections : 83
% 0.23/0.65 % Paramodulations : 1302
% 0.23/0.65 % Factorizations : 0
% 0.23/0.65 % NegExts : 0
% 0.23/0.65 % Equation resolutions : 0
% 0.23/0.65 % Disequality decompositions : 0
% 0.23/0.65 % Total rewrite steps : 73
% 0.23/0.65 % ...of those cached : 70
% 0.23/0.65 % Propositional unsat checks : 0
% 0.23/0.65 % Propositional check models : 0
% 0.23/0.65 % Propositional check unsatisfiable : 0
% 0.23/0.65 % Propositional clauses : 0
% 0.23/0.65 % Propositional clauses after purity: 0
% 0.23/0.65 % Propositional unsat core size : 0
% 0.23/0.65 % Propositional preprocessing time : 0.000
% 0.23/0.65 % Propositional encoding time : 0.000
% 0.23/0.65 % Propositional solver time : 0.000
% 0.23/0.65 % Success case prop preproc time : 0.000
% 0.23/0.65 % Success case prop encoding time : 0.000
% 0.23/0.65 % Success case prop solver time : 0.000
% 0.23/0.65 % Current number of processed clauses : 193
% 0.23/0.65 % Positive orientable unit clauses : 16
% 0.23/0.65 % Positive unorientable unit clauses: 0
% 0.23/0.65 % Negative unit clauses : 26
% 0.23/0.65 % Non-unit-clauses : 151
% 0.23/0.65 % Current number of unprocessed clauses: 386
% 0.23/0.65 % ...number of literals in the above : 2159
% 0.23/0.65 % Current number of archived formulas : 0
% 0.23/0.65 % Current number of archived clauses : 361
% 0.23/0.65 % Clause-clause subsumption calls (NU) : 18718
% 0.23/0.65 % Rec. Clause-clause subsumption calls : 14427
% 0.23/0.65 % Non-unit clause-clause subsumptions : 323
% 0.23/0.65 % Unit Clause-clause subsumption calls : 422
% 0.23/0.65 % Rewrite failures with RHS unbound : 0
% 0.23/0.65 % BW rewrite match attempts : 12
% 0.23/0.65 % BW rewrite match successes : 3
% 0.23/0.65 % Condensation attempts : 0
% 0.23/0.65 % Condensation successes : 0
% 0.23/0.65 % Termbank termtop insertions : 16129
% 0.23/0.65 % Search garbage collected termcells : 56
% 0.23/0.65
% 0.23/0.65 % -------------------------------------------------
% 0.23/0.65 % User time : 0.098 s
% 0.23/0.65 % System time : 0.006 s
% 0.23/0.65 % Total time : 0.104 s
% 0.23/0.65 % Maximum resident set size: 3336 pages
% 0.23/0.65
% 0.23/0.65 % -------------------------------------------------
% 0.23/0.65 % User time : 0.497 s
% 0.23/0.65 % System time : 0.023 s
% 0.23/0.65 % Total time : 0.521 s
% 0.23/0.65 % Maximum resident set size: 4608 pages
% 0.23/0.65 % E exiting
%------------------------------------------------------------------------------