%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP239-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:39:03 PM UTC 2026
% Result : Unsatisfiable 28.73s 4.61s
% Output : CNFRefutation 28.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of clauses : 94 ( 24 unt; 63 nHn; 74 RR)
% Number of literals : 222 ( 221 equ; 71 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_8,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_43,negated_conjecture,
( multiply(X7,sk_c9) != sk_c8
| inverse(X6) != X7
| multiply(X6,X7) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c9
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != X2
| multiply(sk_c9,X2) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_0_16,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_17,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_18,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_19,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_21,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
prove_this_39 ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
prove_this_16 ).
cnf(c_0_24,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c9) = sk_c8 ),
prove_this_4 ).
cnf(c_0_25,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(inverse(sk_c4),sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
prove_this_15 ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
prove_this_38 ).
cnf(c_0_30,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( inverse(sk_c9) = sk_c2
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
prove_this_3 ).
cnf(c_0_34,negated_conjecture,
( inverse(sk_c9) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( sk_c2 = sk_c8
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| multiply(inverse(sk_c1),sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
prove_this_9 ).
cnf(c_0_38,negated_conjecture,
( sk_c2 = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( sk_c2 = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( sk_c2 = sk_c8
| multiply(inverse(sk_c5),sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( sk_c2 = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
prove_this_26 ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| multiply(inverse(sk_c4),sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
prove_this_8 ).
cnf(c_0_46,negated_conjecture,
( sk_c2 = sk_c8
| multiply(sk_c8,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(inverse(sk_c6),sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_19,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
prove_this_27 ).
cnf(c_0_49,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
prove_this_31 ).
cnf(c_0_51,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
prove_this_32 ).
cnf(c_0_52,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( identity = sk_c9
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_46]),c_0_17]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c8,
inference(spm,[status(thm)],[c_0_36,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c9,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c8,multiply(sk_c5,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_19,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( sk_c2 = sk_c8
| inverse(sk_c9) = sk_c9 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( identity = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_54]),c_0_17]) ).
cnf(c_0_60,negated_conjecture,
multiply(inverse(sk_c9),sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_19,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,multiply(sk_c5,X1)) = multiply(sk_c5,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( identity = sk_c8
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_58]),c_0_55]) ).
cnf(c_0_63,negated_conjecture,
multiply(sk_c9,multiply(sk_c9,X1)) = multiply(sk_c8,X1),
inference(spm,[status(thm)],[c_0_16,c_0_55]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_65,negated_conjecture,
( identity = sk_c8
| multiply(inverse(sk_c9),sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_19,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
multiply(inverse(sk_c9),multiply(sk_c8,X1)) = multiply(sk_c9,X1),
inference(spm,[status(thm)],[c_0_16,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( sk_c8 = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_55]) ).
cnf(c_0_68,negated_conjecture,
( sk_c2 = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
multiply(sk_c8,sk_c9) = multiply(sk_c9,sk_c8),
inference(spm,[status(thm)],[c_0_63,c_0_55]) ).
cnf(c_0_70,negated_conjecture,
( identity = sk_c8
| multiply(inverse(sk_c3),multiply(sk_c9,X1)) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( sk_c8 = sk_c9
| multiply(sk_c9,sk_c8) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c2) = sk_c9 ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_73,negated_conjecture,
( identity = sk_c8
| sk_c8 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_17])]) ).
cnf(c_0_74,negated_conjecture,
( sk_c8 = sk_c9
| inverse(sk_c8) = sk_c9
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_72,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( sk_c8 = sk_c9
| inverse(sk_c8) = sk_c8 ),
inference(spm,[status(thm)],[c_0_52,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_60,c_0_33]) ).
cnf(c_0_77,negated_conjecture,
( sk_c5 = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_17]),c_0_21]) ).
cnf(c_0_79,negated_conjecture,
( sk_c8 = sk_c9
| multiply(sk_c8,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( sk_c8 = sk_c9
| inverse(sk_c9) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_60]) ).
cnf(c_0_81,negated_conjecture,
( multiply(X7,sk_c9) != sk_c8
| inverse(X6) != X7
| multiply(X6,X7) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c9
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != X2
| multiply(sk_c9,X2) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(fof_simplification,[status(thm)],[prove_this_43]) ).
cnf(c_0_82,negated_conjecture,
( sk_c8 = sk_c9
| inverse(sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_25,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( multiply(X7,sk_c9) != sk_c8
| inverse(X6) != X7
| multiply(X6,X7) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c9
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != X2
| multiply(sk_c9,X2) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c9) != sk_c8 ),
c_0_81 ).
cnf(c_0_84,negated_conjecture,
sk_c8 = sk_c9,
inference(spm,[status(thm)],[c_0_75,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( inverse(X5) != sk_c9
| inverse(X1) != sk_c9
| inverse(X4) != sk_c9
| inverse(X3) != sk_c8
| inverse(sk_c9) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X2,inverse(X2)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_83])]) ).
cnf(c_0_86,negated_conjecture,
identity = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_84]),c_0_17]) ).
cnf(c_0_87,negated_conjecture,
( identity != sk_c8
| sk_c8 != sk_c9
| inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X2,inverse(X2)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_52]),c_0_18]) ).
cnf(c_0_88,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_86]),c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| multiply(X4,sk_c9) != sk_c9
| multiply(X3,sk_c9) != sk_c9
| multiply(X2,inverse(X2)) != sk_c9
| multiply(inverse(X2),sk_c9) != sk_c9
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_84]),c_0_84]),c_0_84]),c_0_84]),c_0_84]),c_0_84]),c_0_84]),c_0_84])]),c_0_88]),c_0_86])]) ).
cnf(c_0_90,plain,
multiply(X1,sk_c9) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_86]) ).
cnf(c_0_91,plain,
multiply(sk_c9,X1) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( inverse(X1) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90]),c_0_90]),c_0_90])])]),c_0_88])]),c_0_91])]),c_0_88])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_88]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP239-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:09:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 28.73/4.61 % Version: 3.5.1
% 28.73/4.61 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.73/4.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.73/4.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.73/4.61 % Starting new_bool_3 with 300s (1) cores
% 28.73/4.61 % Starting new_bool_1 with 300s (1) cores
% 28.73/4.61 % Starting sh5l with 300s (1) cores
% 28.73/4.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 76225 completed with status 0
% 28.73/4.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 28.73/4.61 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.73/4.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.73/4.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.73/4.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 28.73/4.61 % No SInE strategy applied
% 28.73/4.61 % Search class: FGHPS-FFMM21-SFFFFFNN
% 28.73/4.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 28.73/4.61 % Starting SubtermCWHack with 136s (1) cores
% 28.73/4.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 28.73/4.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 28.73/4.61 % Starting new_bool_3 with 136s (1) cores
% 28.73/4.61 % Starting new_bool_1 with 136s (1) cores
% 28.73/4.61 % new_bool_1 with pid 76236 completed with status 0
% 28.73/4.61 % Result found by new_bool_1
% 28.73/4.61 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.73/4.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.73/4.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.73/4.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 28.73/4.61 % No SInE strategy applied
% 28.73/4.61 % Search class: FGHPS-FFMM21-SFFFFFNN
% 28.73/4.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 28.73/4.61 % Starting SubtermCWHack with 136s (1) cores
% 28.73/4.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 28.73/4.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 28.73/4.61 % Starting new_bool_3 with 136s (1) cores
% 28.73/4.61 % Starting new_bool_1 with 136s (1) cores
% 28.73/4.61 % Preprocessing time : 0.001 s
% 28.73/4.61 % Presaturation interreduction done
% 28.73/4.61
% 28.73/4.61 % Proof found!
% 28.73/4.61 % SZS status Unsatisfiable
% 28.73/4.61 % SZS output start CNFRefutation
% See solution above
% 28.73/4.61 % Parsed axioms : 46
% 28.73/4.61 % Removed by relevancy pruning/SinE : 0
% 28.73/4.61 % Initial clauses : 46
% 28.73/4.61 % Removed in clause preprocessing : 0
% 28.73/4.61 % Initial clauses in saturation : 46
% 28.73/4.61 % Processed clauses : 33085
% 28.73/4.61 % ...of these trivial : 235
% 28.73/4.61 % ...subsumed : 29897
% 28.73/4.61 % ...remaining for further processing : 2953
% 28.73/4.61 % Other redundant clauses eliminated : 111
% 28.73/4.61 % Clauses deleted for lack of memory : 0
% 28.73/4.61 % Backward-subsumed : 256
% 28.73/4.61 % Backward-rewritten : 2495
% 28.73/4.61 % Generated clauses : 543938
% 28.73/4.61 % ...of the previous two non-redundant : 538302
% 28.73/4.61 % ...aggressively subsumed : 0
% 28.73/4.61 % Contextual simplify-reflections : 87
% 28.73/4.61 % Paramodulations : 543823
% 28.73/4.61 % Factorizations : 9
% 28.73/4.61 % NegExts : 0
% 28.73/4.61 % Equation resolutions : 111
% 28.73/4.61 % Disequality decompositions : 0
% 28.73/4.61 % Total rewrite steps : 263745
% 28.73/4.61 % ...of those cached : 256892
% 28.73/4.61 % Propositional unsat checks : 0
% 28.73/4.61 % Propositional check models : 0
% 28.73/4.61 % Propositional check unsatisfiable : 0
% 28.73/4.61 % Propositional clauses : 0
% 28.73/4.61 % Propositional clauses after purity: 0
% 28.73/4.61 % Propositional unsat core size : 0
% 28.73/4.61 % Propositional preprocessing time : 0.000
% 28.73/4.61 % Propositional encoding time : 0.000
% 28.73/4.61 % Propositional solver time : 0.000
% 28.73/4.61 % Success case prop preproc time : 0.000
% 28.73/4.61 % Success case prop encoding time : 0.000
% 28.73/4.61 % Success case prop solver time : 0.000
% 28.73/4.61 % Current number of processed clauses : 150
% 28.73/4.61 % Positive orientable unit clauses : 18
% 28.73/4.61 % Positive unorientable unit clauses: 0
% 28.73/4.61 % Negative unit clauses : 0
% 28.73/4.61 % Non-unit-clauses : 132
% 28.73/4.61 % Current number of unprocessed clauses: 500128
% 28.73/4.61 % ...number of literals in the above : 1543884
% 28.73/4.61 % Current number of archived formulas : 0
% 28.73/4.61 % Current number of archived clauses : 2797
% 28.73/4.61 % Clause-clause subsumption calls (NU) : 416115
% 28.73/4.61 % Rec. Clause-clause subsumption calls : 337447
% 28.73/4.61 % Non-unit clause-clause subsumptions : 30207
% 28.73/4.61 % Unit Clause-clause subsumption calls : 3049
% 28.73/4.61 % Rewrite failures with RHS unbound : 0
% 28.73/4.61 % BW rewrite match attempts : 209
% 28.73/4.61 % BW rewrite match successes : 99
% 28.73/4.61 % Condensation attempts : 0
% 28.73/4.61 % Condensation successes : 0
% 28.73/4.61 % Termbank termtop insertions : 6768495
% 28.73/4.61 % Search garbage collected termcells : 37
% 28.73/4.61
% 28.73/4.61 % -------------------------------------------------
% 28.73/4.61 % User time : 3.819 s
% 28.73/4.61 % System time : 0.239 s
% 28.73/4.61 % Total time : 4.058 s
% 28.73/4.61 % Maximum resident set size: 3400 pages
% 28.73/4.61
% 28.73/4.61 % -------------------------------------------------
% 28.73/4.61 % User time : 19.222 s
% 28.73/4.61 % System time : 1.184 s
% 28.73/4.61 % Total time : 20.406 s
% 28.73/4.61 % Maximum resident set size: 4608 pages
% 28.73/4.61 % E exiting
%------------------------------------------------------------------------------