%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP313-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:43:11 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.66s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 19
% Syntax : Number of clauses : 85 ( 29 unt; 45 nHn; 67 RR)
% Number of literals : 225 ( 224 equ; 99 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_25,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_9,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_50,negated_conjecture,
( inverse(X6) != sk_c7
| multiply(X6,sk_c7) != sk_c9
| multiply(sk_c7,sk_c9) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_7,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_0_19,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_20,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_21,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_22,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
prove_this_8 ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
prove_this_24 ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(inverse(sk_c1),sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
prove_this_15 ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(inverse(sk_c5),sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
prove_this_25 ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(inverse(sk_c4),sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
prove_this_9 ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(inverse(sk_c2),sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
prove_this_31 ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(inverse(sk_c1),sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
prove_this_16 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(inverse(sk_c5),sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_22,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
prove_this_32 ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( inverse(X6) != sk_c7
| multiply(X6,sk_c7) != sk_c9
| multiply(sk_c7,sk_c9) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(fof_simplification,[status(thm)],[prove_this_50]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_6 ).
cnf(c_0_44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
multiply(sk_c9,sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( inverse(X6) != sk_c7
| multiply(X6,sk_c7) != sk_c9
| multiply(sk_c7,sk_c9) != sk_c8
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7 ),
c_0_42 ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
prove_this_21 ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
prove_this_20 ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
prove_this_19 ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(inverse(sk_c6),sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_22,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_7 ).
cnf(c_0_52,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c8,
inference(spm,[status(thm)],[c_0_33,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
identity = sk_c8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_45]),c_0_20]) ).
cnf(c_0_54,negated_conjecture,
( inverse(X5) != sk_c9
| inverse(X4) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c9
| inverse(X1) != sk_c8
| multiply(X5,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
prove_this_18 ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
prove_this_17 ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
sk_c7 = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_52]),c_0_20]),c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( inverse(X4) != sk_c9
| inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X1) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
multiply(sk_c8,sk_c9) = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_61,negated_conjecture,
( sk_c7 != sk_c9
| inverse(X3) != sk_c9
| inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c9
| multiply(sk_c6,sk_c9) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(spm,[status(thm)],[c_0_59,c_0_47]) ).
cnf(c_0_62,negated_conjecture,
sk_c9 = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_60]),c_0_20]),c_0_53]) ).
cnf(c_0_63,negated_conjecture,
multiply(sk_c8,sk_c8) = sk_c8,
inference(rw,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| multiply(X3,sk_c8) != sk_c8
| multiply(X2,sk_c8) != sk_c8
| multiply(X1,sk_c8) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c8
| inverse(sk_c1) = sk_c8 ),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_58]),c_0_58]),c_0_58]),c_0_62]),c_0_62]),c_0_63]),c_0_62]),c_0_62]),c_0_62]),c_0_62]),c_0_62])]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_58]),c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| multiply(X2,sk_c8) != sk_c8
| multiply(X1,sk_c8) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c6,sk_c8) != sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
inverse(sk_c1) = sk_c8,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_58]),c_0_62]),c_0_62]),c_0_68]) ).
cnf(c_0_70,negated_conjecture,
multiply(sk_c8,multiply(sk_c1,X1)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
multiply(inverse(sk_c8),X1) = multiply(sk_c1,X1),
inference(spm,[status(thm)],[c_0_22,c_0_70]) ).
cnf(c_0_72,negated_conjecture,
multiply(sk_c1,multiply(sk_c8,X1)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
multiply(sk_c1,sk_c8) = sk_c8,
inference(spm,[status(thm)],[c_0_72,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
multiply(sk_c8,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_73]),c_0_72]) ).
cnf(c_0_75,negated_conjecture,
multiply(sk_c1,X1) = X1,
inference(rw,[status(thm)],[c_0_72,c_0_74]) ).
cnf(c_0_76,plain,
multiply(inverse(X1),X1) = sk_c8,
inference(rw,[status(thm)],[c_0_20,c_0_53]) ).
cnf(c_0_77,negated_conjecture,
multiply(inverse(sk_c8),X1) = X1,
inference(rw,[status(thm)],[c_0_71,c_0_75]) ).
cnf(c_0_78,plain,
multiply(inverse(inverse(X1)),sk_c8) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_76]) ).
cnf(c_0_79,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_80,negated_conjecture,
multiply(inverse(inverse(sk_c8)),X1) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( inverse(X6) != sk_c8
| inverse(X5) != sk_c8
| inverse(X4) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| multiply(X6,sk_c8) != sk_c8
| multiply(X5,sk_c8) != sk_c8
| multiply(X4,sk_c8) != sk_c8
| multiply(X3,sk_c8) != sk_c8
| multiply(X2,sk_c8) != sk_c8
| multiply(X1,sk_c8) != sk_c8 ),
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)],[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)],[c_0_46,c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58])]),c_0_62]),c_0_74]),c_0_62]),c_0_62]),c_0_62]),c_0_62]),c_0_62]),c_0_62])]) ).
cnf(c_0_82,plain,
multiply(X1,sk_c8) = X1,
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
inverse(sk_c8) = sk_c8,
inference(spm,[status(thm)],[c_0_80,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82])])])])])])]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP313-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n015.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 20:12:35 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.61 Running first-order theorem proving
% 0.14/0.61 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
% 0.14/0.66 % Version: 3.5.1
% 0.14/0.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.66 % Starting sh5l with 300s (1) cores
% 0.14/0.66 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3825002 completed with status 0
% 0.14/0.66 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/0.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.66 % No SInE strategy applied
% 0.14/0.66 % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.14/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.66 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.66 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.66 % new_bool_3 with pid 3825010 completed with status 0
% 0.14/0.66 % Result found by new_bool_3
% 0.14/0.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.66 % No SInE strategy applied
% 0.14/0.66 % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.14/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.66 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.66 % Preprocessing time : 0.001 s
% 0.14/0.66 % Presaturation interreduction done
% 0.14/0.66
% 0.14/0.66 % Proof found!
% 0.14/0.66 % SZS status Unsatisfiable
% 0.14/0.66 % SZS output start CNFRefutation
% See solution above
% 0.14/0.66 % Parsed axioms : 53
% 0.14/0.66 % Removed by relevancy pruning/SinE : 0
% 0.14/0.66 % Initial clauses : 53
% 0.14/0.66 % Removed in clause preprocessing : 0
% 0.14/0.66 % Initial clauses in saturation : 53
% 0.14/0.66 % Processed clauses : 567
% 0.14/0.66 % ...of these trivial : 54
% 0.14/0.66 % ...subsumed : 129
% 0.14/0.66 % ...remaining for further processing : 384
% 0.14/0.66 % Other redundant clauses eliminated : 6
% 0.14/0.66 % Clauses deleted for lack of memory : 0
% 0.14/0.66 % Backward-subsumed : 52
% 0.14/0.66 % Backward-rewritten : 225
% 0.14/0.66 % Generated clauses : 2206
% 0.14/0.66 % ...of the previous two non-redundant : 1991
% 0.14/0.66 % ...aggressively subsumed : 0
% 0.14/0.66 % Contextual simplify-reflections : 16
% 0.14/0.66 % Paramodulations : 2200
% 0.14/0.66 % Factorizations : 0
% 0.14/0.66 % NegExts : 0
% 0.14/0.66 % Equation resolutions : 6
% 0.14/0.66 % Disequality decompositions : 0
% 0.14/0.66 % Total rewrite steps : 1211
% 0.14/0.66 % ...of those cached : 1136
% 0.14/0.66 % Propositional unsat checks : 0
% 0.14/0.66 % Propositional check models : 0
% 0.14/0.66 % Propositional check unsatisfiable : 0
% 0.14/0.66 % Propositional clauses : 0
% 0.14/0.66 % Propositional clauses after purity: 0
% 0.14/0.66 % Propositional unsat core size : 0
% 0.14/0.66 % Propositional preprocessing time : 0.000
% 0.14/0.66 % Propositional encoding time : 0.000
% 0.14/0.66 % Propositional solver time : 0.000
% 0.14/0.66 % Success case prop preproc time : 0.000
% 0.14/0.66 % Success case prop encoding time : 0.000
% 0.14/0.66 % Success case prop solver time : 0.000
% 0.14/0.66 % Current number of processed clauses : 54
% 0.14/0.66 % Positive orientable unit clauses : 11
% 0.14/0.66 % Positive unorientable unit clauses: 0
% 0.14/0.66 % Negative unit clauses : 0
% 0.14/0.66 % Non-unit-clauses : 43
% 0.14/0.66 % Current number of unprocessed clauses: 480
% 0.14/0.66 % ...number of literals in the above : 1800
% 0.14/0.66 % Current number of archived formulas : 0
% 0.14/0.66 % Current number of archived clauses : 330
% 0.14/0.66 % Clause-clause subsumption calls (NU) : 3106
% 0.14/0.66 % Rec. Clause-clause subsumption calls : 1537
% 0.14/0.66 % Non-unit clause-clause subsumptions : 186
% 0.14/0.66 % Unit Clause-clause subsumption calls : 309
% 0.14/0.66 % Rewrite failures with RHS unbound : 0
% 0.14/0.66 % BW rewrite match attempts : 53
% 0.14/0.66 % BW rewrite match successes : 42
% 0.14/0.66 % Condensation attempts : 0
% 0.14/0.66 % Condensation successes : 0
% 0.14/0.66 % Termbank termtop insertions : 43950
% 0.14/0.66 % Search garbage collected termcells : 39
% 0.14/0.66
% 0.14/0.66 % -------------------------------------------------
% 0.14/0.66 % User time : 0.026 s
% 0.14/0.66 % System time : 0.004 s
% 0.14/0.66 % Total time : 0.030 s
% 0.14/0.66 % Maximum resident set size: 3656 pages
% 0.14/0.66
% 0.14/0.66 % -------------------------------------------------
% 0.14/0.66 % User time : 0.130 s
% 0.14/0.66 % System time : 0.020 s
% 0.14/0.66 % Total time : 0.150 s
% 0.14/0.66 % Maximum resident set size: 4864 pages
% 0.14/0.66 % E exiting
%------------------------------------------------------------------------------