%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP386-1 : 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 : n017.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 12:43:30 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.00s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 36
% Syntax : Number of clauses : 188 ( 19 unt; 162 nHn; 171 RR)
% Number of literals : 453 ( 452 equ; 97 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 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 : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_51,negated_conjecture,
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_34,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_9,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_19,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_39,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_36,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_38,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_49,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_8,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_40,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_45,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_46,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_0_36,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_37,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_38,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_39,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_40,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_39]) ).
cnf(c_0_41,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c9 ),
inference(fof_simplification,[status(thm)],[prove_this_51]) ).
cnf(c_0_43,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
prove_this_34 ).
cnf(c_0_45,negated_conjecture,
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c9 ),
c_0_42 ).
cnf(c_0_46,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
prove_this_9 ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c10 ),
prove_this_19 ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_29 ).
cnf(c_0_49,negated_conjecture,
( inverse(sk_c9) = sk_c3
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
prove_this_32 ).
cnf(c_0_51,negated_conjecture,
( inverse(X5) != sk_c10
| inverse(X4) != sk_c10
| inverse(X3) != sk_c9
| inverse(sk_c10) != sk_c9
| multiply(X5,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X2),sk_c9) != sk_c10
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_52,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c7,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c7,sk_c5) = identity
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c7,sk_c5) = identity
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c10) = sk_c1
| inverse(sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_43,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
prove_this_33 ).
cnf(c_0_57,negated_conjecture,
( inverse(sk_c10) = sk_c2
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
prove_this_39 ).
cnf(c_0_59,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
prove_this_36 ).
cnf(c_0_60,negated_conjecture,
( inverse(X5) != sk_c10
| inverse(X4) != sk_c10
| inverse(X3) != sk_c9
| multiply(X5,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X2),sk_c9) != sk_c10
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_43,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c10) = sk_c1
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_43,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( inverse(sk_c10) = sk_c1
| inverse(sk_c10) = sk_c2 ),
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
prove_this_31 ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
prove_this_6 ).
cnf(c_0_66,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( inverse(sk_c7) = sk_c4
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
prove_this_38 ).
cnf(c_0_69,negated_conjecture,
( inverse(X4) != sk_c10
| inverse(X3) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X2),sk_c9) != sk_c10
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_43,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c10) = sk_c1
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c10 ),
prove_this_49 ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
prove_this_35 ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c7) = sk_c4
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( inverse(sk_c10) = sk_c1
| inverse(sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_43,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( inverse(sk_c10) = sk_c1
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_43,c_0_67]) ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
prove_this_8 ).
cnf(c_0_79,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( inverse(X3) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X2),sk_c9) != sk_c10
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_81,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c7,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_37,c_0_58]) ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c7,sk_c5) = identity
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
prove_this_37 ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
prove_this_5 ).
cnf(c_0_85,negated_conjecture,
( inverse(sk_c10) = sk_c1
| multiply(sk_c4,sk_c7) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_73]) ).
cnf(c_0_86,negated_conjecture,
( sk_c4 = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_87,negated_conjecture,
( sk_c4 = sk_c5
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c10 ),
prove_this_40 ).
cnf(c_0_89,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_78]) ).
cnf(c_0_90,negated_conjecture,
( sk_c6 = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_79]) ).
cnf(c_0_91,negated_conjecture,
( multiply(X2,inverse(X2)) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(inverse(X2),sk_c9) != sk_c10
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_43,c_0_76]) ).
cnf(c_0_93,negated_conjecture,
( inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c4,sk_c7) = sk_c10 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
( sk_c1 = sk_c9
| sk_c4 = sk_c5 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c10) = sk_c9 ),
prove_this_10 ).
cnf(c_0_97,negated_conjecture,
( inverse(sk_c10) = sk_c1
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_43,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
( sk_c6 = sk_c7
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_46,c_0_89]) ).
cnf(c_0_99,negated_conjecture,
( sk_c6 = sk_c7
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_43,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c5,sk_c7) != sk_c10
| inverse(X1) != multiply(X1,sk_c7)
| inverse(multiply(X1,sk_c7)) != sk_c7
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c5,sk_c7) = sk_c10 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( sk_c1 = sk_c9
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( inverse(X1) != multiply(X1,sk_c7)
| inverse(multiply(X1,sk_c7)) != sk_c7
| sk_c1 = sk_c9
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c7,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( inverse(multiply(sk_c7,sk_c7)) != sk_c7
| sk_c1 = sk_c9
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_76]),c_0_105]) ).
cnf(c_0_107,negated_conjecture,
( sk_c1 = sk_c9
| inverse(sk_c10) = sk_c1
| multiply(sk_c7,sk_c5) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_105]),c_0_92]) ).
cnf(c_0_108,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c7,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_52,c_0_107]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_23 ).
cnf(c_0_110,negated_conjecture,
( sk_c1 = sk_c9
| inverse(sk_c7) = sk_c5 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_108]),c_0_41]) ).
cnf(c_0_111,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_21 ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_25 ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(inverse(sk_c3),sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_39,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_24 ).
cnf(c_0_115,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c5,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_37,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(inverse(sk_c2),sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_39,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(inverse(sk_c4),sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_39,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_26 ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
prove_this_45 ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( identity = sk_c10
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_101,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(inverse(inverse(sk_c2)),sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_39,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_22 ).
cnf(c_0_124,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c7
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(inverse(sk_c4),sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_39,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( identity = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_120]),c_0_37]) ).
cnf(c_0_127,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c10,X1) = X1 ),
inference(spm,[status(thm)],[c_0_38,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( identity = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_37]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
prove_this_15 ).
cnf(c_0_130,negated_conjecture,
( identity = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_124]),c_0_37]) ).
cnf(c_0_131,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(inverse(inverse(sk_c4)),sk_c7) = sk_c10 ),
inference(spm,[status(thm)],[c_0_39,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c10 ),
prove_this_46 ).
cnf(c_0_133,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c8
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c9
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_128,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(inverse(sk_c4),sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_39,c_0_129]) ).
cnf(c_0_136,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c10 ),
prove_this_16 ).
cnf(c_0_137,negated_conjecture,
( identity = sk_c10
| multiply(inverse(sk_c10),sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( identity = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_37]) ).
cnf(c_0_139,negated_conjecture,
( sk_c1 = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( identity = sk_c10
| multiply(inverse(sk_c10),multiply(sk_c9,X1)) = multiply(sk_c8,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
( identity = sk_c10
| sk_c8 = sk_c9
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( identity = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_140]),c_0_37]) ).
cnf(c_0_144,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
prove_this_2 ).
cnf(c_0_145,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
prove_this_1 ).
cnf(c_0_147,negated_conjecture,
( identity = sk_c10
| sk_c8 = sk_c9
| multiply(sk_c8,sk_c9) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_37]) ).
cnf(c_0_148,negated_conjecture,
( identity = sk_c10
| multiply(sk_c8,sk_c8) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_143]),c_0_37]) ).
cnf(c_0_149,negated_conjecture,
( inverse(sk_c10) = sk_c2
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
( sk_c1 = sk_c9
| inverse(sk_c10) = sk_c10 ),
inference(spm,[status(thm)],[c_0_145,c_0_121]) ).
cnf(c_0_151,negated_conjecture,
( sk_c1 = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_146,c_0_71]) ).
cnf(c_0_152,negated_conjecture,
( sk_c1 = sk_c9
| multiply(X1,sk_c10) = X1 ),
inference(spm,[status(thm)],[c_0_41,c_0_121]) ).
cnf(c_0_153,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c10
| inverse(sk_c8) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_147]),c_0_41]) ).
cnf(c_0_154,negated_conjecture,
( identity = sk_c10
| inverse(sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_148]),c_0_41]) ).
cnf(c_0_155,negated_conjecture,
( sk_c9 = sk_c10
| sk_c2 = sk_c10
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( sk_c2 = sk_c9
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( sk_c1 = sk_c9
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( sk_c8 = sk_c9
| multiply(sk_c10,X1) = X1 ),
inference(spm,[status(thm)],[c_0_38,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
prove_this_11 ).
cnf(c_0_161,negated_conjecture,
( identity = sk_c10
| sk_c9 = sk_c10
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_138,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_126,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_128,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(inverse(sk_c2),sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_39,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( identity = sk_c10
| sk_c9 = sk_c10
| multiply(sk_c8,sk_c9) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_161]),c_0_37]) ).
cnf(c_0_166,negated_conjecture,
sk_c8 = sk_c9,
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(inverse(inverse(sk_c2)),sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_39,c_0_164]) ).
cnf(c_0_168,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
prove_this_12 ).
cnf(c_0_169,negated_conjecture,
( sk_c9 = sk_c10
| identity = sk_c10
| multiply(sk_c9,sk_c9) = identity ),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( identity = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_37]) ).
cnf(c_0_171,negated_conjecture,
( identity = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_161,c_0_169]) ).
cnf(c_0_172,negated_conjecture,
( identity = sk_c10
| multiply(sk_c9,sk_c9) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_166]),c_0_166]) ).
cnf(c_0_173,negated_conjecture,
( identity = sk_c9
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(rw,[status(thm)],[c_0_170,c_0_166]) ).
cnf(c_0_174,negated_conjecture,
( sk_c9 = sk_c10
| inverse(sk_c10) = sk_c10 ),
inference(spm,[status(thm)],[c_0_145,c_0_171]) ).
cnf(c_0_175,negated_conjecture,
( identity = sk_c10
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_176,negated_conjecture,
( sk_c9 = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_146,c_0_174]) ).
cnf(c_0_177,negated_conjecture,
( sk_c9 = sk_c10
| sk_c2 = sk_c10 ),
inference(spm,[status(thm)],[c_0_149,c_0_174]) ).
cnf(c_0_178,negated_conjecture,
identity = sk_c10,
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_175]),c_0_171]) ).
cnf(c_0_179,negated_conjecture,
( sk_c9 = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_180,plain,
multiply(X1,sk_c10) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_178]) ).
cnf(c_0_181,plain,
multiply(inverse(X1),X1) = sk_c10,
inference(rw,[status(thm)],[c_0_37,c_0_178]) ).
cnf(c_0_182,negated_conjecture,
sk_c9 = sk_c10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]) ).
cnf(c_0_183,plain,
multiply(X1,inverse(X1)) = sk_c10,
inference(spm,[status(thm)],[c_0_181,c_0_43]) ).
cnf(c_0_184,plain,
inverse(sk_c10) = sk_c10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_178]),c_0_178]) ).
cnf(c_0_185,negated_conjecture,
( inverse(X2) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(multiply(X1,inverse(X2))) != inverse(X2) ),
inference(cn,[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(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_51,c_0_166]),c_0_166]),c_0_166]),c_0_182]),c_0_180]),c_0_182]),c_0_180]),c_0_182]),c_0_182]),c_0_182]),c_0_180]),c_0_183]),c_0_182]),c_0_180]),c_0_182]),c_0_180]),c_0_182]),c_0_182]),c_0_180]),c_0_184]),c_0_182]),c_0_182])])])])]),c_0_184])]) ).
cnf(c_0_186,negated_conjecture,
( inverse(X1) != X1
| inverse(X1) != sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_184]),c_0_180]),c_0_180]) ).
cnf(c_0_187,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_186,c_0_184]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP386-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:06:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.00 % Version: 3.5.1
% 3.76/1.00 % Preprocessing class: FSMSSMSMSSSNFFN.
% 3.76/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/1.00 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.76/1.00 % Starting new_bool_3 with 300s (1) cores
% 3.76/1.00 % Starting new_bool_1 with 300s (1) cores
% 3.76/1.00 % Starting sh5l with 300s (1) cores
% 3.76/1.00 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 523783 completed with status 0
% 3.76/1.00 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 3.76/1.00 % Preprocessing class: FSMSSMSMSSSNFFN.
% 3.76/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/1.00 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.76/1.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.76/1.00 % No SInE strategy applied
% 3.76/1.00 % Search class: FGHPS-FFMM21-SFFFFFNN
% 3.76/1.00 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.76/1.00 % Starting SubtermCWHack with 136s (1) cores
% 3.76/1.00 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 3.76/1.00 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.76/1.00 % Starting new_bool_3 with 136s (1) cores
% 3.76/1.00 % Starting new_bool_1 with 136s (1) cores
% 3.76/1.00 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 523789 completed with status 0
% 3.76/1.00 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 3.76/1.00 % Preprocessing class: FSMSSMSMSSSNFFN.
% 3.76/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/1.00 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.76/1.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.76/1.00 % No SInE strategy applied
% 3.76/1.00 % Search class: FGHPS-FFMM21-SFFFFFNN
% 3.76/1.00 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.76/1.00 % Starting SubtermCWHack with 136s (1) cores
% 3.76/1.00 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 3.76/1.00 % Preprocessing time : 0.001 s
% 3.76/1.00 % Presaturation interreduction done
% 3.76/1.00
% 3.76/1.00 % Proof found!
% 3.76/1.00 % SZS status Unsatisfiable
% 3.76/1.00 % SZS output start CNFRefutation
% See solution above
% 3.76/1.00 % Parsed axioms : 54
% 3.76/1.00 % Removed by relevancy pruning/SinE : 0
% 3.76/1.00 % Initial clauses : 54
% 3.76/1.00 % Removed in clause preprocessing : 0
% 3.76/1.00 % Initial clauses in saturation : 54
% 3.76/1.00 % Processed clauses : 17367
% 3.76/1.00 % ...of these trivial : 470
% 3.76/1.00 % ...subsumed : 14698
% 3.76/1.00 % ...remaining for further processing : 2199
% 3.76/1.00 % Other redundant clauses eliminated : 158
% 3.76/1.00 % Clauses deleted for lack of memory : 0
% 3.76/1.00 % Backward-subsumed : 170
% 3.76/1.00 % Backward-rewritten : 1512
% 3.76/1.00 % Generated clauses : 64588
% 3.76/1.00 % ...of the previous two non-redundant : 65226
% 3.76/1.00 % ...aggressively subsumed : 0
% 3.76/1.00 % Contextual simplify-reflections : 38
% 3.76/1.00 % Paramodulations : 64492
% 3.76/1.00 % Factorizations : 16
% 3.76/1.00 % NegExts : 0
% 3.76/1.00 % Equation resolutions : 158
% 3.76/1.00 % Disequality decompositions : 0
% 3.76/1.00 % Total rewrite steps : 15739
% 3.76/1.00 % ...of those cached : 15392
% 3.76/1.00 % Propositional unsat checks : 0
% 3.76/1.00 % Propositional check models : 0
% 3.76/1.00 % Propositional check unsatisfiable : 0
% 3.76/1.00 % Propositional clauses : 0
% 3.76/1.00 % Propositional clauses after purity: 0
% 3.76/1.00 % Propositional unsat core size : 0
% 3.76/1.00 % Propositional preprocessing time : 0.000
% 3.76/1.00 % Propositional encoding time : 0.000
% 3.76/1.00 % Propositional solver time : 0.000
% 3.76/1.00 % Success case prop preproc time : 0.000
% 3.76/1.00 % Success case prop encoding time : 0.000
% 3.76/1.00 % Success case prop solver time : 0.000
% 3.76/1.00 % Current number of processed clauses : 396
% 3.76/1.00 % Positive orientable unit clauses : 12
% 3.76/1.00 % Positive unorientable unit clauses: 0
% 3.76/1.00 % Negative unit clauses : 0
% 3.76/1.00 % Non-unit-clauses : 384
% 3.76/1.00 % Current number of unprocessed clauses: 46737
% 3.76/1.00 % ...number of literals in the above : 182628
% 3.76/1.00 % Current number of archived formulas : 0
% 3.76/1.00 % Current number of archived clauses : 1736
% 3.76/1.00 % Clause-clause subsumption calls (NU) : 467114
% 3.76/1.00 % Rec. Clause-clause subsumption calls : 295875
% 3.76/1.00 % Non-unit clause-clause subsumptions : 14891
% 3.76/1.00 % Unit Clause-clause subsumption calls : 990
% 3.76/1.00 % Rewrite failures with RHS unbound : 0
% 3.76/1.00 % BW rewrite match attempts : 40
% 3.76/1.00 % BW rewrite match successes : 38
% 3.76/1.00 % Condensation attempts : 0
% 3.76/1.00 % Condensation successes : 0
% 3.76/1.00 % Termbank termtop insertions : 680853
% 3.76/1.00 % Search garbage collected termcells : 41
% 3.76/1.00
% 3.76/1.00 % -------------------------------------------------
% 3.76/1.00 % User time : 0.526 s
% 3.76/1.00 % System time : 0.033 s
% 3.76/1.00 % Total time : 0.559 s
% 3.76/1.00 % Maximum resident set size: 3660 pages
% 3.76/1.00
% 3.76/1.00 % -------------------------------------------------
% 3.76/1.00 % User time : 2.651 s
% 3.76/1.00 % System time : 0.131 s
% 3.76/1.00 % Total time : 2.781 s
% 3.76/1.00 % Maximum resident set size: 4608 pages
% 3.76/1.00 % E exiting
%------------------------------------------------------------------------------