%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP217-1 : 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 : n006.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 12:39:00 PM UTC 2026
% Result : Unsatisfiable 6.27s 1.32s
% Output : CNFRefutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 27
% Syntax : Number of clauses : 160 ( 28 unt; 110 nHn; 130 RR)
% Number of literals : 406 ( 405 equ; 143 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 : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 112 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_49,negated_conjecture,
( inverse(X9) != sk_c11
| multiply(X9,sk_c11) != X8
| multiply(sk_c11,X8) != sk_c10
| multiply(X7,sk_c10) != sk_c11
| inverse(X6) != X7
| multiply(X6,X7) != sk_c11
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != X4
| multiply(sk_c11,X4) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X2) != X3
| multiply(X2,X3) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
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_40,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(prove_this_46,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_47,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_48,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(prove_this_36,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_42,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_8,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_0_27,negated_conjecture,
( inverse(X9) != sk_c11
| multiply(X9,sk_c11) != X8
| multiply(sk_c11,X8) != sk_c10
| multiply(X7,sk_c10) != sk_c11
| inverse(X6) != X7
| multiply(X6,X7) != sk_c11
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != X4
| multiply(sk_c11,X4) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X2) != X3
| multiply(X2,X3) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c11 ),
inference(fof_simplification,[status(thm)],[prove_this_49]) ).
cnf(c_0_28,negated_conjecture,
( inverse(X9) != sk_c11
| multiply(X9,sk_c11) != X8
| multiply(sk_c11,X8) != sk_c10
| multiply(X7,sk_c10) != sk_c11
| inverse(X6) != X7
| multiply(X6,X7) != sk_c11
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != X4
| multiply(sk_c11,X4) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X2) != X3
| multiply(X2,X3) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c11 ),
c_0_27 ).
cnf(c_0_29,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_30,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_31,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_32,negated_conjecture,
( inverse(X5) != sk_c11
| inverse(X2) != sk_c11
| inverse(X1) != sk_c11
| multiply(X5,sk_c10) != sk_c11
| multiply(X4,inverse(X4)) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| multiply(inverse(X4),sk_c11) != sk_c10
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X2,sk_c11)) != sk_c10
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c5 ),
prove_this_40 ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
prove_this_46 ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c10 ),
prove_this_34 ).
cnf(c_0_36,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( inverse(X4) != sk_c11
| inverse(X1) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c10
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c10
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_28 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(inverse(sk_c4),sk_c5) = sk_c11 ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( inverse(X3) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c10
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
prove_this_22 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,multiply(sk_c11,X1)) = multiply(sk_c10,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_44,negated_conjecture,
( inverse(X2) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c10
| multiply(sk_c2,sk_c3) != sk_c11
| multiply(sk_c3,sk_c10) != sk_c11
| multiply(inverse(X1),sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c5) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c5) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c10 ),
prove_this_16 ).
cnf(c_0_48,negated_conjecture,
( inverse(X2) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c10
| multiply(sk_c2,sk_c3) != sk_c11
| multiply(sk_c10,sk_c5) != sk_c11
| multiply(inverse(X1),sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c10 ),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_51,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(inverse(sk_c2),sk_c10) = sk_c3 ),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c4,sk_c11) = sk_c5 ),
prove_this_41 ).
cnf(c_0_54,negated_conjecture,
( inverse(X2) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c10
| multiply(sk_c2,sk_c3) != sk_c11
| multiply(inverse(X1),sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_55,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c3
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_52,c_0_41]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(inverse(sk_c4),sk_c5) = sk_c11 ),
inference(spm,[status(thm)],[c_0_36,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c11 ),
prove_this_47 ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c11,sk_c5) = sk_c10 ),
prove_this_35 ).
cnf(c_0_60,negated_conjecture,
( inverse(X2) != sk_c11
| multiply(X2,sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c10
| multiply(inverse(X1),sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_47]),c_0_50]) ).
cnf(c_0_61,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_30,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( identity = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_30]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c11
| multiply(sk_c8,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c4) = sk_c11 ),
prove_this_48 ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c10
| multiply(inverse(sk_c8),sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_36,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
prove_this_36 ).
cnf(c_0_67,negated_conjecture,
( inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_31]),c_0_31]),c_0_62]),c_0_50]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
prove_this_4 ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
prove_this_10 ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c11,sk_c5) = sk_c11
| multiply(inverse(sk_c8),sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_36,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c11,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
multiply(sk_c11,sk_c9) = sk_c10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c11
| multiply(sk_c11,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( sk_c10 = sk_c11
| multiply(inverse(sk_c11),sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(inverse(sk_c11),sk_c10) = sk_c5 ),
inference(spm,[status(thm)],[c_0_36,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c11,sk_c4) = identity
| multiply(sk_c11,sk_c5) = sk_c11 ),
inference(rw,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( sk_c5 = sk_c9
| sk_c10 = sk_c11
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c11,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( sk_c10 = sk_c11
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_50,c_0_79]) ).
cnf(c_0_82,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_55]),c_0_55]) ).
cnf(c_0_83,negated_conjecture,
( sk_c10 = sk_c11
| inverse(sk_c11) = sk_c4 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_80]),c_0_55]) ).
cnf(c_0_84,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
prove_this_42 ).
cnf(c_0_85,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c8,sk_c11) = sk_c9
| multiply(inverse(sk_c4),sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_57,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( sk_c10 = sk_c11
| inverse(sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c4,sk_c11) = sk_c5
| multiply(sk_c11,multiply(sk_c8,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_36,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c8,sk_c11) = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_73])]) ).
cnf(c_0_89,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c4,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( sk_c10 = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_73])]) ).
cnf(c_0_91,negated_conjecture,
( identity = sk_c5
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_92,negated_conjecture,
( sk_c10 = sk_c11
| multiply(X1,sk_c5) = X1 ),
inference(spm,[status(thm)],[c_0_55,c_0_91]) ).
cnf(c_0_93,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c11 ),
prove_this_8 ).
cnf(c_0_94,negated_conjecture,
multiply(inverse(sk_c11),sk_c10) = sk_c9,
inference(spm,[status(thm)],[c_0_36,c_0_73]) ).
cnf(c_0_95,negated_conjecture,
sk_c10 = sk_c11,
inference(spm,[status(thm)],[c_0_77,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_30,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
identity = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_30]) ).
cnf(c_0_98,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
prove_this_9 ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
prove_this_15 ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| multiply(sk_c1,multiply(sk_c10,X1)) = multiply(sk_c11,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_96]) ).
cnf(c_0_101,plain,
multiply(inverse(X1),X1) = sk_c9,
inference(rw,[status(thm)],[c_0_30,c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(inverse(sk_c1),sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_36,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
prove_this_3 ).
cnf(c_0_104,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(inverse(sk_c2),sk_c10) = sk_c3 ),
inference(spm,[status(thm)],[c_0_36,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c3 ),
prove_this_21 ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c9
| multiply(sk_c1,multiply(sk_c11,X1)) = multiply(sk_c11,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_95]),c_0_97]) ).
cnf(c_0_107,plain,
multiply(X1,inverse(X1)) = sk_c9,
inference(spm,[status(thm)],[c_0_101,c_0_82]) ).
cnf(c_0_108,plain,
multiply(X1,sk_c9) = X1,
inference(rw,[status(thm)],[c_0_55,c_0_97]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
prove_this_7 ).
cnf(c_0_112,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c7,sk_c6) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c10
| multiply(inverse(sk_c7),sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_36,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( identity = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_110]),c_0_30]) ).
cnf(c_0_115,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c1,multiply(sk_c10,X1)) = multiply(sk_c11,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_111]) ).
cnf(c_0_116,negated_conjecture,
( sk_c1 = sk_c9
| inverse(sk_c7) = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_112]),c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c10
| multiply(inverse(sk_c7),multiply(sk_c11,X1)) = multiply(sk_c10,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( identity = sk_c10
| multiply(inverse(sk_c7),sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_36,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c6,sk_c7) = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_107]),c_0_108]),c_0_95]),c_0_107]) ).
cnf(c_0_120,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_101,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c11
| multiply(inverse(sk_c7),multiply(sk_c11,X1)) = multiply(sk_c11,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_95]),c_0_95]) ).
cnf(c_0_122,negated_conjecture,
( identity = sk_c10
| multiply(inverse(sk_c7),multiply(sk_c11,X1)) = multiply(sk_c10,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c11 ),
prove_this_2 ).
cnf(c_0_124,negated_conjecture,
( sk_c9 = sk_c11
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_97]),c_0_97]) ).
cnf(c_0_126,negated_conjecture,
( inverse(sk_c7) = sk_c9
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_107]),c_0_108]) ).
cnf(c_0_127,negated_conjecture,
( sk_c9 = sk_c11
| multiply(inverse(sk_c7),multiply(sk_c11,X1)) = multiply(sk_c11,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_95]),c_0_95]),c_0_97]) ).
cnf(c_0_128,negated_conjecture,
( sk_c9 = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).
cnf(c_0_129,negated_conjecture,
( sk_c9 = sk_c7
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_126]),c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( inverse(X6) != sk_c11
| inverse(X3) != sk_c11
| multiply(X6,sk_c10) != sk_c11
| inverse(multiply(X1,X2)) != sk_c11
| multiply(X5,inverse(X5)) != sk_c10
| multiply(X4,inverse(X4)) != sk_c11
| multiply(inverse(X5),sk_c11) != sk_c10
| multiply(inverse(X4),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X3,sk_c11)) != sk_c10
| multiply(sk_c11,multiply(X1,multiply(X2,sk_c11))) != sk_c10 ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_131,negated_conjecture,
( sk_c9 = sk_c11
| inverse(sk_c7) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_107]),c_0_108]) ).
cnf(c_0_132,negated_conjecture,
( sk_c9 = sk_c11
| inverse(sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_82,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
( sk_c9 = sk_c11
| sk_c9 = sk_c7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_129]),c_0_30]),c_0_97]) ).
cnf(c_0_134,negated_conjecture,
( inverse(X5) != sk_c11
| inverse(X2) != sk_c11
| multiply(X5,sk_c10) != sk_c11
| multiply(X4,inverse(X4)) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| inverse(multiply(X1,identity)) != sk_c11
| multiply(inverse(X4),sk_c11) != sk_c10
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X2,sk_c11)) != sk_c10
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10 ),
inference(spm,[status(thm)],[c_0_130,c_0_31]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c1) = sk_c11 ),
prove_this_1 ).
cnf(c_0_136,negated_conjecture,
( sk_c9 = sk_c6
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( sk_c7 != sk_c11
| sk_c9 = sk_c11 ),
inference(ef,[status(thm)],[c_0_133]) ).
cnf(c_0_138,negated_conjecture,
( inverse(X4) != sk_c11
| inverse(X1) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c10
| multiply(X2,inverse(X2)) != sk_c11
| multiply(sk_c11,identity) != sk_c10
| multiply(inverse(X3),sk_c11) != sk_c10
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| inverse(multiply(inverse(sk_c11),identity)) != sk_c11 ),
inference(spm,[status(thm)],[c_0_134,c_0_30]) ).
cnf(c_0_139,negated_conjecture,
( sk_c9 = sk_c11
| multiply(X1,sk_c7) = X1 ),
inference(spm,[status(thm)],[c_0_108,c_0_133]) ).
cnf(c_0_140,negated_conjecture,
( sk_c9 = sk_c11
| multiply(sk_c6,sk_c7) = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_124]),c_0_125])]) ).
cnf(c_0_141,negated_conjecture,
( sk_c6 != sk_c11
| sk_c9 = sk_c11 ),
inference(ef,[status(thm)],[c_0_136]) ).
cnf(c_0_142,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_143,negated_conjecture,
( sk_c7 != sk_c11
| multiply(X1,sk_c11) = X1 ),
inference(spm,[status(thm)],[c_0_108,c_0_137]) ).
cnf(c_0_144,negated_conjecture,
( sk_c10 != sk_c11
| inverse(X4) != sk_c11
| inverse(X1) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c10
| multiply(X2,inverse(X2)) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c10
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_55]),c_0_55]),c_0_82])]) ).
cnf(c_0_145,negated_conjecture,
sk_c9 = sk_c11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_146,plain,
multiply(sk_c9,X1) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_97]) ).
cnf(c_0_147,negated_conjecture,
( sk_c9 = sk_c7
| multiply(sk_c11,X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_129]),c_0_36]) ).
cnf(c_0_148,negated_conjecture,
( sk_c7 != sk_c11
| inverse(sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_101,c_0_143]) ).
cnf(c_0_149,negated_conjecture,
( sk_c9 != sk_c11
| inverse(X4) != sk_c11
| inverse(X1) != sk_c11
| multiply(X4,sk_c11) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c11
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c11 ),
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)],[c_0_144,c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_95])]),c_0_107]),c_0_107])]) ).
cnf(c_0_150,plain,
multiply(X1,sk_c11) = X1,
inference(rw,[status(thm)],[c_0_108,c_0_145]) ).
cnf(c_0_151,plain,
multiply(sk_c11,X1) = X1,
inference(rw,[status(thm)],[c_0_146,c_0_145]) ).
cnf(c_0_152,plain,
inverse(sk_c11) = sk_c11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_145]),c_0_145]) ).
cnf(c_0_153,negated_conjecture,
( sk_c9 = sk_c7
| inverse(sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_107,c_0_147]) ).
cnf(c_0_154,negated_conjecture,
( sk_c7 != sk_c11
| inverse(sk_c11) = sk_c11 ),
inference(rw,[status(thm)],[c_0_148,c_0_145]) ).
cnf(c_0_155,negated_conjecture,
( inverse(X2) != sk_c11
| inverse(X1) != sk_c11 ),
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)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_145])]),c_0_150]),c_0_151]),c_0_150]),c_0_150]),c_0_150])])]),c_0_152])]) ).
cnf(c_0_156,negated_conjecture,
inverse(sk_c11) = sk_c11,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_145]),c_0_145]),c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
prove_this_6 ).
cnf(c_0_158,negated_conjecture,
inverse(X1) != sk_c11,
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_157,c_0_158]),c_0_158]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP217-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n006.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % 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 20:06:27 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 6.27/1.32 % Version: 3.5.1
% 6.27/1.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 6.27/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.27/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.27/1.32 % Starting new_bool_3 with 300s (1) cores
% 6.27/1.32 % Starting new_bool_1 with 300s (1) cores
% 6.27/1.32 % Starting sh5l with 300s (1) cores
% 6.27/1.32 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1148539 completed with status 0
% 6.27/1.32 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 6.27/1.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 6.27/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.27/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.27/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.27/1.32 % No SInE strategy applied
% 6.27/1.32 % Search class: FGHPS-FFMM21-SFFFFFNN
% 6.27/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.27/1.32 % Starting SubtermCWHack with 136s (1) cores
% 6.27/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.27/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.27/1.32 % Starting new_bool_3 with 136s (1) cores
% 6.27/1.32 % Starting new_bool_1 with 136s (1) cores
% 6.27/1.32 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1148546 completed with status 0
% 6.27/1.32 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.27/1.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 6.27/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.27/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.27/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.27/1.32 % No SInE strategy applied
% 6.27/1.32 % Search class: FGHPS-FFMM21-SFFFFFNN
% 6.27/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.27/1.32 % Starting SubtermCWHack with 136s (1) cores
% 6.27/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.27/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.27/1.32 % Preprocessing time : 0.001 s
% 6.27/1.32 % Presaturation interreduction done
% 6.27/1.32
% 6.27/1.32 % Proof found!
% 6.27/1.32 % SZS status Unsatisfiable
% 6.27/1.32 % SZS output start CNFRefutation
% See solution above
% 6.27/1.32 % Parsed axioms : 52
% 6.27/1.32 % Removed by relevancy pruning/SinE : 0
% 6.27/1.32 % Initial clauses : 52
% 6.27/1.32 % Removed in clause preprocessing : 0
% 6.27/1.32 % Initial clauses in saturation : 52
% 6.27/1.32 % Processed clauses : 10712
% 6.27/1.32 % ...of these trivial : 106
% 6.27/1.32 % ...subsumed : 8216
% 6.27/1.32 % ...remaining for further processing : 2390
% 6.27/1.32 % Other redundant clauses eliminated : 15
% 6.27/1.32 % Clauses deleted for lack of memory : 0
% 6.27/1.32 % Backward-subsumed : 757
% 6.27/1.32 % Backward-rewritten : 1368
% 6.27/1.32 % Generated clauses : 53241
% 6.27/1.32 % ...of the previous two non-redundant : 51655
% 6.27/1.32 % ...aggressively subsumed : 0
% 6.27/1.32 % Contextual simplify-reflections : 99
% 6.27/1.32 % Paramodulations : 53187
% 6.27/1.32 % Factorizations : 21
% 6.27/1.32 % NegExts : 0
% 6.27/1.32 % Equation resolutions : 15
% 6.27/1.32 % Disequality decompositions : 0
% 6.27/1.32 % Total rewrite steps : 10950
% 6.27/1.32 % ...of those cached : 10623
% 6.27/1.32 % Propositional unsat checks : 0
% 6.27/1.32 % Propositional check models : 0
% 6.27/1.32 % Propositional check unsatisfiable : 0
% 6.27/1.32 % Propositional clauses : 0
% 6.27/1.32 % Propositional clauses after purity: 0
% 6.27/1.32 % Propositional unsat core size : 0
% 6.27/1.32 % Propositional preprocessing time : 0.000
% 6.27/1.32 % Propositional encoding time : 0.000
% 6.27/1.32 % Propositional solver time : 0.000
% 6.27/1.32 % Success case prop preproc time : 0.000
% 6.27/1.32 % Success case prop encoding time : 0.000
% 6.27/1.32 % Success case prop solver time : 0.000
% 6.27/1.32 % Current number of processed clauses : 186
% 6.27/1.32 % Positive orientable unit clauses : 17
% 6.27/1.32 % Positive unorientable unit clauses: 0
% 6.27/1.32 % Negative unit clauses : 1
% 6.27/1.32 % Non-unit-clauses : 168
% 6.27/1.32 % Current number of unprocessed clauses: 37120
% 6.27/1.32 % ...number of literals in the above : 164561
% 6.27/1.32 % Current number of archived formulas : 0
% 6.27/1.32 % Current number of archived clauses : 2201
% 6.27/1.32 % Clause-clause subsumption calls (NU) : 95830
% 6.27/1.32 % Rec. Clause-clause subsumption calls : 50788
% 6.27/1.32 % Non-unit clause-clause subsumptions : 8978
% 6.27/1.32 % Unit Clause-clause subsumption calls : 1469
% 6.27/1.32 % Rewrite failures with RHS unbound : 0
% 6.27/1.32 % BW rewrite match attempts : 82
% 6.27/1.32 % BW rewrite match successes : 63
% 6.27/1.32 % Condensation attempts : 0
% 6.27/1.32 % Condensation successes : 0
% 6.27/1.32 % Termbank termtop insertions : 632414
% 6.27/1.32 % Search garbage collected termcells : 41
% 6.27/1.32
% 6.27/1.32 % -------------------------------------------------
% 6.27/1.32 % User time : 0.721 s
% 6.27/1.32 % System time : 0.031 s
% 6.27/1.32 % Total time : 0.751 s
% 6.27/1.32 % Maximum resident set size: 3352 pages
% 6.27/1.32
% 6.27/1.32 % -------------------------------------------------
% 6.27/1.32 % User time : 3.642 s
% 6.27/1.32 % System time : 0.146 s
% 6.27/1.32 % Total time : 3.788 s
% 6.27/1.32 % Maximum resident set size: 4608 pages
% 6.27/1.32 % E exiting
%------------------------------------------------------------------------------