%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP382-1 : 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 : n013.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 12:43:26 PM UTC 2026
% Result : Unsatisfiable 15.58s 2.48s
% Output : CNFRefutation 15.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 23
% Syntax : Number of clauses : 166 ( 45 unt; 104 nHn; 123 RR)
% Number of literals : 375 ( 374 equ; 114 neg)
% Maximal clause size : 17 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 110 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_42,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_56,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(prove_this_55,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(prove_this_52,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(prove_this_14,negated_conjecture,
( inverse(sk_c5) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_71,negated_conjecture,
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| multiply(X7,sk_c11) != sk_c12
| inverse(X6) != X7
| multiply(X6,X7) != sk_c12
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X2) != X3
| multiply(X2,X3) != sk_c11
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(sk_c12) != sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_0_23,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_24,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_25,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_26,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_28,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_26]) ).
cnf(c_0_29,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c12) = sk_c11 ),
prove_this_3 ).
cnf(c_0_31,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c12) = sk_c11 ),
prove_this_4 ).
cnf(c_0_33,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c5,multiply(sk_c11,X1)) = multiply(sk_c10,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( sk_c5 = inverse(sk_c11)
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c12) = sk_c11 ),
prove_this_6 ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c10,X1) = X1
| inverse(sk_c12) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c12) = sk_c11 ),
prove_this_5 ).
cnf(c_0_39,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c6,sk_c9) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( identity = sk_c10
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( identity = sk_c12
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c12) = sk_c11 ),
prove_this_2 ).
cnf(c_0_43,negated_conjecture,
( inverse(sk_c10) = identity
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( sk_c10 = sk_c12
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c12) = sk_c11 ),
prove_this_1 ).
cnf(c_0_46,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_47,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c12) = sk_c11
| identity = inverse(sk_c12) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( identity = sk_c11
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_47]) ).
cnf(c_0_51,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_52,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_24,c_0_24]) ).
cnf(c_0_53,negated_conjecture,
inverse(sk_c12) = sk_c11,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c12 ),
prove_this_26 ).
cnf(c_0_55,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_56,plain,
inverse(multiply(inverse(X1),X1)) = identity,
inference(spm,[status(thm)],[c_0_24,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
multiply(inverse(X1),X1) = multiply(sk_c11,sk_c12),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
inverse(sk_c11) = sk_c12,
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c1) = sk_c12 ),
prove_this_25 ).
cnf(c_0_60,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c9) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
prove_this_21 ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c12) = sk_c12
| inverse(sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_55,c_0_41]) ).
cnf(c_0_63,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c1) = sk_c12 ),
prove_this_22 ).
cnf(c_0_64,negated_conjecture,
identity = inverse(multiply(sk_c11,sk_c12)),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
multiply(sk_c11,sk_c12) = multiply(sk_c12,sk_c11),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( identity = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
prove_this_42 ).
cnf(c_0_68,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_35]) ).
cnf(c_0_69,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,multiply(sk_c12,X1)) = multiply(sk_c11,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( sk_c11 != sk_c12
| inverse(sk_c12) = sk_c12 ),
inference(ef,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c12,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_24,c_0_63]) ).
cnf(c_0_72,plain,
inverse(multiply(sk_c12,sk_c11)) = multiply(sk_c12,sk_c11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_64]),c_0_31]),c_0_64]),c_0_65]),c_0_65]) ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c12) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(spm,[status(thm)],[c_0_55,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(inverse(sk_c2),sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_26,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
multiply(inverse(X1),X1) = multiply(sk_c12,sk_c11),
inference(rw,[status(thm)],[c_0_57,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
prove_this_32 ).
cnf(c_0_77,negated_conjecture,
( inverse(sk_c1) = sk_c12
| sk_c4 = multiply(sk_c11,inverse(sk_c12)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c12,multiply(sk_c12,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_26,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c12,sk_c4) = multiply(sk_c12,sk_c11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_64]),c_0_65]),c_0_72]) ).
cnf(c_0_80,plain,
multiply(X1,multiply(sk_c12,sk_c11)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_57]),c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( sk_c11 = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(rw,[status(thm)],[c_0_73,c_0_53]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(inverse(sk_c2),multiply(sk_c11,X1)) = multiply(sk_c3,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
multiply(X1,inverse(X1)) = multiply(sk_c12,sk_c11),
inference(spm,[status(thm)],[c_0_75,c_0_31]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_24,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( sk_c1 = inverse(sk_c12)
| sk_c4 = multiply(sk_c11,inverse(sk_c12)) ),
inference(spm,[status(thm)],[c_0_31,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( sk_c4 = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c12 ),
prove_this_31 ).
cnf(c_0_88,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = multiply(sk_c3,sk_c12) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_80]),c_0_58]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = multiply(sk_c12,sk_c11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_64]),c_0_65]),c_0_72]) ).
cnf(c_0_90,negated_conjecture,
( sk_c1 = sk_c11
| sk_c4 = multiply(sk_c11,sk_c11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_53]),c_0_53]) ).
cnf(c_0_91,negated_conjecture,
( sk_c1 = sk_c11
| sk_c4 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_53]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c4,multiply(sk_c12,X1)) = multiply(sk_c11,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_87]) ).
cnf(c_0_93,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_94,negated_conjecture,
( sk_c4 = sk_c11
| inverse(sk_c2) = multiply(sk_c3,sk_c12) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_88]),c_0_53]) ).
cnf(c_0_95,negated_conjecture,
( sk_c11 != sk_c12
| sk_c4 = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_89]),c_0_80]) ).
cnf(c_0_96,negated_conjecture,
( sk_c1 = sk_c11
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( sk_c4 = multiply(sk_c11,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_92,c_0_80]) ).
cnf(c_0_98,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c3 ),
prove_this_56 ).
cnf(c_0_99,negated_conjecture,
( sk_c4 = inverse(sk_c12)
| inverse(sk_c1) = sk_c12 ),
inference(spm,[status(thm)],[c_0_31,c_0_63]) ).
cnf(c_0_100,negated_conjecture,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_83]),c_0_80]) ).
cnf(c_0_101,negated_conjecture,
( sk_c4 = sk_c11
| inverse(multiply(sk_c3,sk_c12)) = sk_c2 ),
inference(spm,[status(thm)],[c_0_31,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( sk_c11 != sk_c12
| sk_c4 = sk_c12
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c12
| sk_c4 = multiply(sk_c11,sk_c11) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c2) = sk_c3 ),
prove_this_55 ).
cnf(c_0_105,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c9) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_98]) ).
cnf(c_0_106,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_107,negated_conjecture,
( sk_c4 = sk_c11
| inverse(sk_c1) = sk_c12 ),
inference(rw,[status(thm)],[c_0_99,c_0_53]) ).
cnf(c_0_108,negated_conjecture,
( sk_c4 = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_53]) ).
cnf(c_0_109,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( identity = sk_c12
| inverse(sk_c2) = sk_c3 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
( sk_c4 = sk_c11
| multiply(sk_c1,multiply(sk_c12,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( sk_c4 = sk_c11
| multiply(sk_c12,sk_c2) = inverse(sk_c3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_108]),c_0_58]) ).
cnf(c_0_113,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c3 ),
prove_this_52 ).
cnf(c_0_114,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c12,sk_c12) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_109]),c_0_58]) ).
cnf(c_0_115,negated_conjecture,
( inverse(sk_c12) = sk_c12
| inverse(sk_c2) = sk_c3 ),
inference(spm,[status(thm)],[c_0_55,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( sk_c4 = sk_c11
| multiply(sk_c1,inverse(sk_c3)) = sk_c2 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
( sk_c4 = inverse(sk_c12)
| inverse(sk_c2) = sk_c3 ),
inference(spm,[status(thm)],[c_0_31,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_78,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
multiply(sk_c12,multiply(sk_c11,X1)) = X1,
inference(spm,[status(thm)],[c_0_106,c_0_53]) ).
cnf(c_0_120,negated_conjecture,
multiply(sk_c11,multiply(sk_c12,X1)) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_53]) ).
cnf(c_0_121,negated_conjecture,
( inverse(sk_c5) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c12 ),
prove_this_14 ).
cnf(c_0_122,negated_conjecture,
( inverse(sk_c3) = sk_c2
| inverse(sk_c12) = sk_c12 ),
inference(spm,[status(thm)],[c_0_31,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( sk_c4 = inverse(sk_c12)
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_31,c_0_76]) ).
cnf(c_0_124,negated_conjecture,
( sk_c4 = sk_c11
| multiply(inverse(sk_c2),sk_c1) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_116]),c_0_31]) ).
cnf(c_0_125,negated_conjecture,
( sk_c4 = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(rw,[status(thm)],[c_0_117,c_0_53]) ).
cnf(c_0_126,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c12,X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_118]),c_0_119]) ).
cnf(c_0_127,plain,
multiply(X1,multiply(X2,multiply(inverse(multiply(X1,X2)),X3))) = X3,
inference(spm,[status(thm)],[c_0_25,c_0_106]) ).
cnf(c_0_128,negated_conjecture,
inverse(multiply(sk_c12,X1)) = multiply(inverse(X1),sk_c11),
inference(spm,[status(thm)],[c_0_100,c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| multiply(sk_c11,sk_c10) = sk_c12 ),
inference(spm,[status(thm)],[c_0_24,c_0_121]) ).
cnf(c_0_130,negated_conjecture,
( sk_c11 = sk_c12
| inverse(sk_c3) = sk_c2 ),
inference(rw,[status(thm)],[c_0_122,c_0_53]) ).
cnf(c_0_131,negated_conjecture,
( sk_c4 = inverse(sk_c12)
| multiply(inverse(sk_c1),sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_26,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
( sk_c4 = sk_c11
| multiply(sk_c3,sk_c1) = sk_c3 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c12 ),
prove_this_13 ).
cnf(c_0_134,negated_conjecture,
( sk_c11 != sk_c12
| multiply(X1,sk_c11) = X1 ),
inference(spm,[status(thm)],[c_0_80,c_0_126]) ).
cnf(c_0_135,negated_conjecture,
( sk_c11 != sk_c12
| multiply(sk_c11,multiply(sk_c11,X1)) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_127]),c_0_128]),c_0_53]),c_0_25]) ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| multiply(sk_c11,sk_c5) = multiply(sk_c12,sk_c11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_64]),c_0_65]),c_0_72]) ).
cnf(c_0_137,negated_conjecture,
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| multiply(X7,sk_c11) != sk_c12
| inverse(X6) != X7
| multiply(X6,X7) != sk_c12
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X2) != X3
| multiply(X2,X3) != sk_c11
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(sk_c12) != sk_c11 ),
inference(fof_simplification,[status(thm)],[prove_this_71]) ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
prove_this_41 ).
cnf(c_0_139,negated_conjecture,
( sk_c11 = sk_c12
| multiply(sk_c2,sk_c3) = multiply(sk_c12,sk_c11) ),
inference(spm,[status(thm)],[c_0_75,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
( sk_c4 = sk_c11
| multiply(inverse(sk_c1),sk_c12) = sk_c11 ),
inference(rw,[status(thm)],[c_0_131,c_0_53]) ).
cnf(c_0_141,negated_conjecture,
( sk_c4 = sk_c11
| inverse(sk_c1) = multiply(sk_c12,sk_c11) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_132]),c_0_75]) ).
cnf(c_0_142,negated_conjecture,
( sk_c11 != sk_c12
| sk_c5 = sk_c10
| multiply(sk_c11,sk_c10) = sk_c12 ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,negated_conjecture,
( sk_c11 != sk_c12
| sk_c5 = sk_c11
| multiply(sk_c11,sk_c10) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_120]) ).
cnf(c_0_144,negated_conjecture,
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| multiply(X7,sk_c11) != sk_c12
| inverse(X6) != X7
| multiply(X6,X7) != sk_c12
| inverse(X5) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X2) != X3
| multiply(X2,X3) != sk_c11
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(sk_c12) != sk_c11 ),
c_0_137 ).
cnf(c_0_145,negated_conjecture,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_100]),c_0_31]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c12,sk_c11) = sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_126]) ).
cnf(c_0_147,negated_conjecture,
( sk_c11 = sk_c12
| sk_c4 = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_25]),c_0_65]),c_0_80]) ).
cnf(c_0_148,negated_conjecture,
( sk_c11 != sk_c12
| sk_c5 = sk_c10
| sk_c10 = multiply(sk_c12,sk_c12) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_142]),c_0_58]) ).
cnf(c_0_149,negated_conjecture,
( sk_c11 != sk_c12
| sk_c5 = sk_c11
| sk_c10 = multiply(sk_c12,sk_c12) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_143]),c_0_58]) ).
cnf(c_0_150,negated_conjecture,
( inverse(X6) != sk_c12
| inverse(X5) != sk_c12
| inverse(X4) != sk_c11
| inverse(sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X3),sk_c12) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c12
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_144])])]) ).
cnf(c_0_151,negated_conjecture,
inverse(multiply(X1,sk_c11)) = multiply(sk_c12,inverse(X1)),
inference(spm,[status(thm)],[c_0_119,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
multiply(sk_c12,sk_c11) = sk_c11,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_65])]),c_0_126]) ).
cnf(c_0_153,negated_conjecture,
( sk_c11 != sk_c12
| sk_c10 = sk_c11
| sk_c10 = multiply(sk_c12,sk_c12) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( inverse(X6) != sk_c12
| inverse(X5) != sk_c12
| inverse(X4) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X3),sk_c12) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c12
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_53])]) ).
cnf(c_0_155,negated_conjecture,
sk_c11 = sk_c12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_58]),c_0_53]),c_0_152]) ).
cnf(c_0_156,negated_conjecture,
( sk_c11 != sk_c12
| sk_c10 = sk_c11 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_153]),c_0_114]) ).
cnf(c_0_157,negated_conjecture,
( inverse(X6) != sk_c12
| inverse(X5) != sk_c12
| inverse(X4) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(sk_c12,sk_c11) != sk_c11
| multiply(sk_c12,sk_c11) != sk_c12
| multiply(sk_c11,sk_c10) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X3),sk_c12) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c12
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_83]),c_0_83]) ).
cnf(c_0_158,plain,
multiply(X1,sk_c12) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_152]),c_0_155]) ).
cnf(c_0_159,negated_conjecture,
sk_c10 = sk_c12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_155]),c_0_155])]) ).
cnf(c_0_160,negated_conjecture,
( inverse(X3) != sk_c12
| inverse(X2) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[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)],[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)],[c_0_157,c_0_152]),c_0_152])]),c_0_155]),c_0_158]),c_0_158]),c_0_155]),c_0_155]),c_0_159]),c_0_158]),c_0_155]),c_0_155]),c_0_158]),c_0_159]),c_0_158]),c_0_155]),c_0_155]),c_0_158]),c_0_155])])])])]),c_0_53]),c_0_155])]) ).
cnf(c_0_161,negated_conjecture,
multiply(inverse(X1),X1) = sk_c12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_152]),c_0_155]) ).
cnf(c_0_162,negated_conjecture,
( inverse(X2) != sk_c12
| inverse(X1) != sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_53]),c_0_155]),c_0_31])]) ).
cnf(c_0_163,negated_conjecture,
inverse(sk_c12) = sk_c12,
inference(rw,[status(thm)],[c_0_53,c_0_155]) ).
cnf(c_0_164,negated_conjecture,
inverse(X1) != sk_c12,
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_63,c_0_164]),c_0_164]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP382-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 20 20:10:06 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 15.58/2.48 % Version: 3.5.1
% 15.58/2.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.58/2.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.58/2.48 % Starting new_bool_3 with 300s (1) cores
% 15.58/2.48 % Starting new_bool_1 with 300s (1) cores
% 15.58/2.48 % Starting sh5l with 300s (1) cores
% 15.58/2.48 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3310325 completed with status 0
% 15.58/2.48 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 15.58/2.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.58/2.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.58/2.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.58/2.48 % No SInE strategy applied
% 15.58/2.48 % Search class: FGHPS-FFMM21-SFFFFFNN
% 15.58/2.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.58/2.48 % Starting SubtermCWHack with 136s (1) cores
% 15.58/2.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 15.58/2.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 15.58/2.48 % Starting new_bool_3 with 136s (1) cores
% 15.58/2.48 % Starting new_bool_1 with 136s (1) cores
% 15.58/2.48 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3310330 completed with status 0
% 15.58/2.48 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 15.58/2.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.58/2.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.58/2.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.58/2.48 % No SInE strategy applied
% 15.58/2.48 % Search class: FGHPS-FFMM21-SFFFFFNN
% 15.58/2.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.58/2.48 % Starting SubtermCWHack with 136s (1) cores
% 15.58/2.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 15.58/2.48 % Preprocessing time : 0.002 s
% 15.58/2.48 % Presaturation interreduction done
% 15.58/2.48
% 15.58/2.48 % Proof found!
% 15.58/2.48 % SZS status Unsatisfiable
% 15.58/2.48 % SZS output start CNFRefutation
% See solution above
% 15.58/2.48 % Parsed axioms : 74
% 15.58/2.48 % Removed by relevancy pruning/SinE : 0
% 15.58/2.48 % Initial clauses : 74
% 15.58/2.48 % Removed in clause preprocessing : 0
% 15.58/2.48 % Initial clauses in saturation : 74
% 15.58/2.48 % Processed clauses : 22681
% 15.58/2.48 % ...of these trivial : 556
% 15.58/2.48 % ...subsumed : 19412
% 15.58/2.48 % ...remaining for further processing : 2713
% 15.58/2.48 % Other redundant clauses eliminated : 9
% 15.58/2.48 % Clauses deleted for lack of memory : 0
% 15.58/2.48 % Backward-subsumed : 345
% 15.58/2.48 % Backward-rewritten : 1940
% 15.58/2.48 % Generated clauses : 167630
% 15.58/2.48 % ...of the previous two non-redundant : 145210
% 15.58/2.48 % ...aggressively subsumed : 0
% 15.58/2.48 % Contextual simplify-reflections : 110
% 15.58/2.48 % Paramodulations : 167541
% 15.58/2.48 % Factorizations : 11
% 15.58/2.48 % NegExts : 0
% 15.58/2.48 % Equation resolutions : 9
% 15.58/2.48 % Disequality decompositions : 0
% 15.58/2.48 % Total rewrite steps : 98422
% 15.58/2.48 % ...of those cached : 97289
% 15.58/2.48 % Propositional unsat checks : 0
% 15.58/2.48 % Propositional check models : 0
% 15.58/2.48 % Propositional check unsatisfiable : 0
% 15.58/2.48 % Propositional clauses : 0
% 15.58/2.48 % Propositional clauses after purity: 0
% 15.58/2.48 % Propositional unsat core size : 0
% 15.58/2.48 % Propositional preprocessing time : 0.000
% 15.58/2.48 % Propositional encoding time : 0.000
% 15.58/2.48 % Propositional solver time : 0.000
% 15.58/2.48 % Success case prop preproc time : 0.000
% 15.58/2.48 % Success case prop encoding time : 0.000
% 15.58/2.48 % Success case prop solver time : 0.000
% 15.58/2.48 % Current number of processed clauses : 279
% 15.58/2.48 % Positive orientable unit clauses : 15
% 15.58/2.48 % Positive unorientable unit clauses: 0
% 15.58/2.48 % Negative unit clauses : 1
% 15.58/2.48 % Non-unit-clauses : 263
% 15.58/2.48 % Current number of unprocessed clauses: 117452
% 15.58/2.48 % ...number of literals in the above : 401649
% 15.58/2.48 % Current number of archived formulas : 0
% 15.58/2.48 % Current number of archived clauses : 2432
% 15.58/2.48 % Clause-clause subsumption calls (NU) : 400479
% 15.58/2.48 % Rec. Clause-clause subsumption calls : 224988
% 15.58/2.48 % Non-unit clause-clause subsumptions : 19824
% 15.58/2.48 % Unit Clause-clause subsumption calls : 1739
% 15.58/2.48 % Rewrite failures with RHS unbound : 27
% 15.58/2.48 % BW rewrite match attempts : 115
% 15.58/2.48 % BW rewrite match successes : 63
% 15.58/2.48 % Condensation attempts : 0
% 15.58/2.48 % Condensation successes : 0
% 15.58/2.48 % Termbank termtop insertions : 1556806
% 15.58/2.48 % Search garbage collected termcells : 48
% 15.58/2.48
% 15.58/2.48 % -------------------------------------------------
% 15.58/2.48 % User time : 1.808 s
% 15.58/2.48 % System time : 0.077 s
% 15.58/2.48 % Total time : 1.885 s
% 15.58/2.48 % Maximum resident set size: 3668 pages
% 15.58/2.48
% 15.58/2.48 % -------------------------------------------------
% 15.58/2.48 % User time : 9.465 s
% 15.58/2.48 % System time : 0.412 s
% 15.58/2.48 % Total time : 9.877 s
% 15.58/2.48 % Maximum resident set size: 4864 pages
% 15.58/2.48 % E exiting
%------------------------------------------------------------------------------