%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP359-1 : 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 : n026.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 12:43:22 PM UTC 2026
% Result : Unsatisfiable 1.38s 0.68s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 29
% Syntax : Number of clauses : 201 ( 21 unt; 171 nHn; 184 RR)
% Number of literals : 475 ( 474 equ; 87 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_31,negated_conjecture,
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(sk_c8) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_9,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
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,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_33,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_34,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(sk_c8) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(fof_simplification,[status(thm)],[prove_this_31]) ).
cnf(c_0_36,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(sk_c8) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8 ),
c_0_35 ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
prove_this_9 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_19 ).
cnf(c_0_40,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_36]),c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
prove_this_27 ).
cnf(c_0_42,negated_conjecture,
( inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X1) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_43,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_3 ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(inverse(sk_c1),sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
prove_this_25 ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c2) = sk_c7 ),
prove_this_17 ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
prove_this_30 ).
cnf(c_0_49,negated_conjecture,
( inverse(sk_c8) = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X1) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c8,sk_c3) = identity
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
prove_this_13 ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(inverse(sk_c4),sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
prove_this_18 ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_22 ).
cnf(c_0_57,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c6 ),
prove_this_12 ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c8) = sk_c3
| inverse(sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_59,negated_conjecture,
( inverse(sk_c8) = sk_c4
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_60,negated_conjecture,
( inverse(sk_c8) = sk_c1
| inverse(sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_40,c_0_49]) ).
cnf(c_0_61,negated_conjecture,
( inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X1) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
prove_this_16 ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(inverse(sk_c1),sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
prove_this_28 ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
prove_this_29 ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c8) = sk_c4
| inverse(sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
( sk_c3 != sk_c6
| inverse(sk_c8) = sk_c6 ),
inference(ef,[status(thm)],[c_0_58]) ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c8) = sk_c1
| inverse(sk_c8) = sk_c4 ),
inference(spm,[status(thm)],[c_0_40,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( sk_c3 != sk_c1
| inverse(sk_c8) = sk_c1 ),
inference(ef,[status(thm)],[c_0_60]) ).
cnf(c_0_72,negated_conjecture,
( inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X1) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_21 ).
cnf(c_0_75,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
prove_this_26 ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c6 ),
prove_this_11 ).
cnf(c_0_79,negated_conjecture,
( inverse(sk_c8) = sk_c1
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_40,c_0_67]) ).
cnf(c_0_80,negated_conjecture,
( sk_c4 = sk_c3
| inverse(sk_c8) = sk_c6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_58]),c_0_69]) ).
cnf(c_0_81,negated_conjecture,
( sk_c4 = sk_c3
| inverse(sk_c8) = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_71]) ).
cnf(c_0_82,negated_conjecture,
( inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c8,sk_c3) = identity
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( sk_c7 = sk_c8
| multiply(inverse(sk_c8),sk_c7) = sk_c2 ),
inference(spm,[status(thm)],[c_0_32,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c8
| multiply(inverse(sk_c8),sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_32,c_0_76]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
prove_this_8 ).
cnf(c_0_87,negated_conjecture,
( inverse(sk_c8) = sk_c1
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_77]) ).
cnf(c_0_88,negated_conjecture,
( sk_c1 = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
( sk_c1 = sk_c6
| sk_c4 = sk_c3 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_75]) ).
cnf(c_0_91,negated_conjecture,
( sk_c5 = sk_c2
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( sk_c1 = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( sk_c1 = sk_c6
| multiply(sk_c3,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( inverse(X1) != sk_c8
| multiply(sk_c1,sk_c8) != sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_90,c_0_73]) ).
cnf(c_0_95,negated_conjecture,
( sk_c7 = sk_c8
| sk_c5 = sk_c2 ),
inference(spm,[status(thm)],[c_0_75,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( sk_c5 = sk_c7
| sk_c1 = sk_c6 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( sk_c2 != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_94,c_0_83]) ).
cnf(c_0_98,negated_conjecture,
( sk_c2 = sk_c7
| sk_c7 = sk_c8
| sk_c1 = sk_c6 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( inverse(X1) != sk_c8
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| sk_c1 = sk_c6
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7
| sk_c1 = sk_c6
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_99,c_0_73]) ).
cnf(c_0_101,negated_conjecture,
( sk_c7 = sk_c8
| sk_c1 = sk_c6
| multiply(sk_c8,sk_c3) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_83]),c_0_75]) ).
cnf(c_0_102,negated_conjecture,
( sk_c1 = sk_c6
| sk_c7 = sk_c8
| inverse(sk_c8) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_101]),c_0_36]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
prove_this_10 ).
cnf(c_0_104,negated_conjecture,
( inverse(sk_c8) = sk_c1
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_105,negated_conjecture,
( sk_c7 = sk_c8
| sk_c1 = sk_c6
| multiply(sk_c3,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_24 ).
cnf(c_0_107,negated_conjecture,
( sk_c1 = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( identity = sk_c7
| sk_c1 = sk_c6
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_92,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( inverse(sk_c8) = sk_c4
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_40,c_0_106]) ).
cnf(c_0_110,negated_conjecture,
( inverse(sk_c8) = sk_c3
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_40,c_0_74]) ).
cnf(c_0_111,negated_conjecture,
( sk_c1 = sk_c6
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_107,c_0_96]) ).
cnf(c_0_112,negated_conjecture,
( sk_c7 = sk_c8
| sk_c1 = sk_c6
| multiply(X1,sk_c7) = X1 ),
inference(spm,[status(thm)],[c_0_36,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( sk_c4 = sk_c3
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( sk_c7 = sk_c8
| sk_c1 = sk_c6 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( sk_c4 = sk_c3
| sk_c7 = sk_c8
| multiply(sk_c6,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( sk_c4 = sk_c3
| multiply(sk_c6,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_30,c_0_80]) ).
cnf(c_0_117,negated_conjecture,
( identity = sk_c2
| sk_c7 = sk_c8
| sk_c4 = sk_c3 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,negated_conjecture,
( sk_c4 = sk_c3
| sk_c7 = sk_c8
| multiply(X1,sk_c2) = X1 ),
inference(spm,[status(thm)],[c_0_36,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_23 ).
cnf(c_0_120,negated_conjecture,
( sk_c7 = sk_c8
| sk_c4 = sk_c3 ),
inference(spm,[status(thm)],[c_0_75,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
prove_this_20 ).
cnf(c_0_122,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c3,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_78]) ).
cnf(c_0_124,negated_conjecture,
( sk_c5 = sk_c7
| sk_c7 = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_30,c_0_86]) ).
cnf(c_0_126,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c3,sk_c8) = sk_c5
| multiply(sk_c6,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_123,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( sk_c7 = sk_c8
| sk_c5 = sk_c7
| multiply(sk_c6,sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_124,c_0_114]) ).
cnf(c_0_128,negated_conjecture,
( sk_c5 = sk_c7
| sk_c7 = sk_c8
| multiply(sk_c6,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( sk_c5 = sk_c7
| sk_c7 = sk_c8
| multiply(inverse(sk_c6),sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
( sk_c7 = sk_c8
| sk_c5 = sk_c7
| inverse(sk_c6) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_128]),c_0_36]) ).
cnf(c_0_131,negated_conjecture,
( sk_c7 = sk_c8
| sk_c5 = sk_c7
| multiply(sk_c8,sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( sk_c7 = sk_c8
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_75,c_0_131]) ).
cnf(c_0_133,negated_conjecture,
( sk_c2 = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_95,c_0_132]) ).
cnf(c_0_134,negated_conjecture,
( inverse(X1) != sk_c8
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_97,c_0_133]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7
| sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_134,c_0_73]) ).
cnf(c_0_136,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_75,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c8,sk_c3) = identity ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_83]),c_0_75]) ).
cnf(c_0_138,negated_conjecture,
( sk_c7 = sk_c8
| multiply(inverse(sk_c8),sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_32,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( sk_c7 = sk_c8
| inverse(sk_c8) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_137]),c_0_36]) ).
cnf(c_0_140,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c3,sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_141,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| multiply(inverse(sk_c3),sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_125]) ).
cnf(c_0_142,negated_conjecture,
( sk_c7 = sk_c8
| multiply(inverse(sk_c3),sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_32,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c6,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_144,negated_conjecture,
( sk_c7 = sk_c8
| inverse(sk_c6) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_143]),c_0_36]) ).
cnf(c_0_145,negated_conjecture,
( sk_c6 = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_62,c_0_136]) ).
cnf(c_0_146,negated_conjecture,
( sk_c7 = sk_c8
| multiply(inverse(sk_c8),sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_32,c_0_62]) ).
cnf(c_0_147,negated_conjecture,
( sk_c7 = sk_c8
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_149,negated_conjecture,
( sk_c7 = sk_c8
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_146,c_0_139]) ).
cnf(c_0_150,negated_conjecture,
( sk_c7 = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_147]) ).
cnf(c_0_151,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( sk_c7 = sk_c8
| multiply(inverse(sk_c3),sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_32,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( sk_c3 = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_139,c_0_150]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_2 ).
cnf(c_0_155,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_30,c_0_151]) ).
cnf(c_0_156,negated_conjecture,
( identity = sk_c6
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_30]) ).
cnf(c_0_157,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(inverse(sk_c3),sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( sk_c7 = sk_c8
| inverse(sk_c6) = sk_c6 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_6 ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_157,c_0_44]) ).
cnf(c_0_161,negated_conjecture,
( sk_c6 = sk_c8
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_144,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_1 ).
cnf(c_0_163,negated_conjecture,
( inverse(sk_c8) = sk_c4
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( inverse(sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_44]) ).
cnf(c_0_165,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(inverse(sk_c7),sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_32,c_0_160]) ).
cnf(c_0_166,negated_conjecture,
sk_c7 = sk_c8,
inference(spm,[status(thm)],[c_0_145,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(inverse(sk_c7),sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_32,c_0_162]) ).
cnf(c_0_168,negated_conjecture,
( sk_c4 = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_169,negated_conjecture,
( identity = sk_c6
| multiply(sk_c8,sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166]),c_0_30]),c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( identity = sk_c6
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_166]),c_0_30]),c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( sk_c4 = sk_c3
| multiply(inverse(sk_c7),sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_32,c_0_168]) ).
cnf(c_0_172,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_103]) ).
cnf(c_0_173,negated_conjecture,
( sk_c6 = sk_c8
| identity = sk_c6 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,negated_conjecture,
( identity = sk_c6
| sk_c4 = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_166]),c_0_30]) ).
cnf(c_0_175,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(inverse(inverse(sk_c3)),sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_32,c_0_157]) ).
cnf(c_0_176,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c8 ),
inference(rw,[status(thm)],[c_0_172,c_0_166]) ).
cnf(c_0_177,negated_conjecture,
( sk_c6 = sk_c8
| inverse(sk_c6) = sk_c6 ),
inference(spm,[status(thm)],[c_0_155,c_0_173]) ).
cnf(c_0_178,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_86]) ).
cnf(c_0_179,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_40,c_0_78]) ).
cnf(c_0_180,negated_conjecture,
( sk_c4 = sk_c3
| inverse(sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_80]) ).
cnf(c_0_181,negated_conjecture,
( sk_c4 = sk_c3
| inverse(sk_c6) = sk_c6 ),
inference(spm,[status(thm)],[c_0_155,c_0_174]) ).
cnf(c_0_182,negated_conjecture,
( identity = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_44]),c_0_30]) ).
cnf(c_0_183,negated_conjecture,
( sk_c6 = sk_c8
| multiply(sk_c8,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_184,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[c_0_178,c_0_166]) ).
cnf(c_0_185,negated_conjecture,
( sk_c6 = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_179,c_0_177]) ).
cnf(c_0_186,negated_conjecture,
( sk_c6 = sk_c8
| sk_c4 = sk_c3 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
( identity = sk_c8
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_166]),c_0_166]) ).
cnf(c_0_188,negated_conjecture,
( identity = sk_c5
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_183]),c_0_30]) ).
cnf(c_0_189,negated_conjecture,
( sk_c6 = sk_c8
| multiply(sk_c3,sk_c8) = sk_c8 ),
inference(spm,[status(thm)],[c_0_184,c_0_177]) ).
cnf(c_0_190,negated_conjecture,
( sk_c6 = sk_c8
| multiply(sk_c3,sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_191,negated_conjecture,
( identity = sk_c6
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_187]),c_0_30]) ).
cnf(c_0_192,negated_conjecture,
( sk_c5 = sk_c6
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_173,c_0_188]) ).
cnf(c_0_193,negated_conjecture,
( sk_c5 = sk_c8
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_194,negated_conjecture,
( sk_c6 != sk_c8
| identity = sk_c8 ),
inference(ef,[status(thm)],[c_0_191]) ).
cnf(c_0_195,negated_conjecture,
sk_c6 = sk_c8,
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_196,negated_conjecture,
identity = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).
cnf(c_0_197,plain,
multiply(X1,sk_c8) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_196]) ).
cnf(c_0_198,plain,
multiply(sk_c8,X1) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_196]) ).
cnf(c_0_199,plain,
inverse(sk_c8) = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_196]),c_0_196]) ).
cnf(c_0_200,negated_conjecture,
$false,
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)],[c_0_42,c_0_166]),c_0_166]),c_0_166]),c_0_166]),c_0_166]),c_0_197]),c_0_198]),c_0_197]),c_0_198]),c_0_195]),c_0_197]),c_0_197]),c_0_195]),c_0_197]),c_0_199]),c_0_195])])])])]),c_0_199])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP359-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:13:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 1.38/0.68 % Version: 3.5.1
% 1.38/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.68 % Starting new_bool_3 with 300s (1) cores
% 1.38/0.68 % Starting new_bool_1 with 300s (1) cores
% 1.38/0.68 % Starting sh5l with 300s (1) cores
% 1.38/0.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 499247 completed with status 0
% 1.38/0.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.38/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.68 % No SInE strategy applied
% 1.38/0.68 % Search class: FGHPS-FFMM21-SFFFFFNN
% 1.38/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.38/0.68 % Starting SubtermCWHack with 136s (1) cores
% 1.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.38/0.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.38/0.68 % Starting new_bool_3 with 136s (1) cores
% 1.38/0.68 % Starting new_bool_1 with 136s (1) cores
% 1.38/0.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 499252 completed with status 0
% 1.38/0.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.38/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.68 % No SInE strategy applied
% 1.38/0.68 % Search class: FGHPS-FFMM21-SFFFFFNN
% 1.38/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.38/0.68 % Starting SubtermCWHack with 136s (1) cores
% 1.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.38/0.68 % Preprocessing time : 0.001 s
% 1.38/0.68 % Presaturation interreduction done
% 1.38/0.68
% 1.38/0.68 % Proof found!
% 1.38/0.68 % SZS status Unsatisfiable
% 1.38/0.68 % SZS output start CNFRefutation
% See solution above
% 1.38/0.68 % Parsed axioms : 34
% 1.38/0.68 % Removed by relevancy pruning/SinE : 0
% 1.38/0.68 % Initial clauses : 34
% 1.38/0.68 % Removed in clause preprocessing : 0
% 1.38/0.68 % Initial clauses in saturation : 34
% 1.38/0.68 % Processed clauses : 3438
% 1.38/0.68 % ...of these trivial : 222
% 1.38/0.68 % ...subsumed : 2203
% 1.38/0.68 % ...remaining for further processing : 1013
% 1.38/0.68 % Other redundant clauses eliminated : 33
% 1.38/0.68 % Clauses deleted for lack of memory : 0
% 1.38/0.68 % Backward-subsumed : 249
% 1.38/0.68 % Backward-rewritten : 695
% 1.38/0.68 % Generated clauses : 17478
% 1.38/0.68 % ...of the previous two non-redundant : 17238
% 1.38/0.68 % ...aggressively subsumed : 0
% 1.38/0.68 % Contextual simplify-reflections : 29
% 1.38/0.68 % Paramodulations : 17434
% 1.38/0.68 % Factorizations : 20
% 1.38/0.68 % NegExts : 0
% 1.38/0.68 % Equation resolutions : 33
% 1.38/0.68 % Disequality decompositions : 0
% 1.38/0.68 % Total rewrite steps : 4051
% 1.38/0.68 % ...of those cached : 3816
% 1.38/0.68 % Propositional unsat checks : 0
% 1.38/0.68 % Propositional check models : 0
% 1.38/0.68 % Propositional check unsatisfiable : 0
% 1.38/0.68 % Propositional clauses : 0
% 1.38/0.68 % Propositional clauses after purity: 0
% 1.38/0.68 % Propositional unsat core size : 0
% 1.38/0.68 % Propositional preprocessing time : 0.000
% 1.38/0.68 % Propositional encoding time : 0.000
% 1.38/0.68 % Propositional solver time : 0.000
% 1.38/0.68 % Success case prop preproc time : 0.000
% 1.38/0.68 % Success case prop encoding time : 0.000
% 1.38/0.68 % Success case prop solver time : 0.000
% 1.38/0.68 % Current number of processed clauses : 30
% 1.38/0.68 % Positive orientable unit clauses : 21
% 1.38/0.68 % Positive unorientable unit clauses: 0
% 1.38/0.68 % Negative unit clauses : 0
% 1.38/0.68 % Non-unit-clauses : 9
% 1.38/0.68 % Current number of unprocessed clauses: 3693
% 1.38/0.68 % ...number of literals in the above : 18128
% 1.38/0.68 % Current number of archived formulas : 0
% 1.38/0.68 % Current number of archived clauses : 978
% 1.38/0.68 % Clause-clause subsumption calls (NU) : 17887
% 1.38/0.68 % Rec. Clause-clause subsumption calls : 9473
% 1.38/0.68 % Non-unit clause-clause subsumptions : 2470
% 1.38/0.68 % Unit Clause-clause subsumption calls : 344
% 1.38/0.68 % Rewrite failures with RHS unbound : 0
% 1.38/0.68 % BW rewrite match attempts : 40
% 1.38/0.68 % BW rewrite match successes : 34
% 1.38/0.68 % Condensation attempts : 0
% 1.38/0.68 % Condensation successes : 0
% 1.38/0.68 % Termbank termtop insertions : 185352
% 1.38/0.68 % Search garbage collected termcells : 29
% 1.38/0.68
% 1.38/0.68 % -------------------------------------------------
% 1.38/0.68 % User time : 0.190 s
% 1.38/0.68 % System time : 0.011 s
% 1.38/0.68 % Total time : 0.200 s
% 1.38/0.68 % Maximum resident set size: 3648 pages
% 1.38/0.68
% 1.38/0.68 % -------------------------------------------------
% 1.38/0.68 % User time : 0.790 s
% 1.38/0.68 % System time : 0.052 s
% 1.38/0.68 % Total time : 0.841 s
% 1.38/0.68 % Maximum resident set size: 4864 pages
% 1.38/0.68 % E exiting
%------------------------------------------------------------------------------