%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP319-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:25:32 PM UTC 2026
% Result : Unsatisfiable 6.86s 4.65s
% Output : CNFRefutation 6.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 34
% Syntax : Number of clauses : 326 ( 23 unt; 264 nHn; 296 RR)
% Number of literals : 757 ( 756 equ; 118 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 74 ( 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_25,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c8
| multiply(sk_c9,X2) != sk_c8
| multiply(X3,sk_c9) != X2
| inverse(X3) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X4) != sk_c9
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(X6) != sk_c7
| multiply(X6,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_30,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(prove_this_27,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_34,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_35,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_0_34,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_35,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_36,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_37,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_25 ).
cnf(c_0_39,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_31 ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c9 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_32 ).
cnf(c_0_43,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
prove_this_26 ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_19 ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c9,multiply(sk_c2,X1)) = X1
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,sk_c3) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_3 ).
cnf(c_0_49,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
prove_this_20 ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_37,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_4 ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
prove_this_6 ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_58,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
prove_this_5 ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_58]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_16 ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c8,multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_34,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c7,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_15 ).
cnf(c_0_68,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_35,c_0_58]) ).
cnf(c_0_69,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_35]) ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_63,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c8) = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_59,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = sk_c9
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( sk_c8 = sk_c9
| sk_c1 = sk_c8
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| sk_c7 != sk_c8 ),
inference(ef,[status(thm)],[c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c7,X1)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_10 ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c1 = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c8,sk_c8) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_35,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c9,X1) = X1
| sk_c7 != sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_37]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c7)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_80,c_0_59]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_63,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( sk_c8 = sk_c9
| sk_c1 = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( sk_c8 = sk_c9
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_84,c_0_62]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_48,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c8 = sk_c9
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_86,c_0_73]) ).
cnf(c_0_91,negated_conjecture,
( sk_c1 = sk_c8
| sk_c8 = sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_87]),c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_9 ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_66,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c9
| sk_c5 = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c9
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( inverse(sk_c8) = sk_c1
| sk_c5 != sk_c1 ),
inference(ef,[status(thm)],[c_0_74]) ).
cnf(c_0_98,negated_conjecture,
( sk_c5 = sk_c8
| sk_c8 = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_83,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_95]) ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c9
| sk_c7 = sk_c9
| sk_c5 != sk_c1 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( sk_c5 = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_69,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| identity = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_81]),c_0_35]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c9
| sk_c8 = sk_c9
| sk_c7 = sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_91]) ).
cnf(c_0_104,negated_conjecture,
( multiply(inverse(sk_c5),multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_105,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_61]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_7 ).
cnf(c_0_107,negated_conjecture,
( multiply(sk_c1,sk_c8) = identity
| sk_c5 != sk_c1 ),
inference(spm,[status(thm)],[c_0_35,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_37,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c7
| sk_c7 = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( inverse(sk_c5) = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_58]) ).
cnf(c_0_111,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_106]) ).
cnf(c_0_112,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_13 ).
cnf(c_0_113,negated_conjecture,
( identity = sk_c7
| identity = sk_c9
| sk_c5 != sk_c1 ),
inference(spm,[status(thm)],[c_0_102,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( sk_c8 = sk_c9
| sk_c7 = sk_c9
| identity = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_88]) ).
cnf(c_0_115,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_21 ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c8
| multiply(sk_c9,X2) != sk_c8
| multiply(X3,sk_c9) != X2
| inverse(X3) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X4) != sk_c9
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(X6) != sk_c7
| multiply(X6,sk_c9) != sk_c7 ),
prove_this_37 ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_54,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c9 ),
prove_this_14 ).
cnf(c_0_120,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c9
| identity = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_101]),c_0_91]) ).
cnf(c_0_121,negated_conjecture,
( sk_c7 = sk_c9
| sk_c8 = sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_114]),c_0_88]) ).
cnf(c_0_122,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
prove_this_23 ).
cnf(c_0_124,negated_conjecture,
( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(X2,sk_c9) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c9) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X5) != sk_c8 ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_117]),c_0_35]) ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
prove_this_30 ).
cnf(c_0_127,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_63,c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( identity = sk_c9
| sk_c8 = sk_c9 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_120]),c_0_121]) ).
cnf(c_0_130,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_63,c_0_42]) ).
cnf(c_0_131,negated_conjecture,
( multiply(inverse(sk_c5),multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_122]) ).
cnf(c_0_132,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_123]) ).
cnf(c_0_133,negated_conjecture,
( identity = sk_c6
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(X2,sk_c9) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c9) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X5) != sk_c8 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,negated_conjecture,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_37,c_0_126]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_27 ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_137,negated_conjecture,
sk_c8 = sk_c9,
inference(spm,[status(thm)],[c_0_69,c_0_129]) ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_127,c_0_130]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_22 ).
cnf(c_0_140,negated_conjecture,
( inverse(sk_c5) = multiply(sk_c8,sk_c6)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_58]) ).
cnf(c_0_141,negated_conjecture,
( identity = sk_c6
| multiply(X1,sk_c9) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| sk_c8 != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_35]),c_0_58]),c_0_63])]) ).
cnf(c_0_142,negated_conjecture,
( multiply(inverse(inverse(sk_c6)),sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_37,c_0_134]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
prove_this_29 ).
cnf(c_0_144,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_37,c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| inverse(sk_c9) = sk_c1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_137]),c_0_137]),c_0_137])]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| inverse(sk_c9) = sk_c2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_137]),c_0_137]),c_0_137])]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c7,X1)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_115]) ).
cnf(c_0_148,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_149,negated_conjecture,
( identity = sk_c6
| multiply(X1,sk_c9) != sk_c7
| multiply(X2,sk_c9) != sk_c7
| multiply(X3,sk_c9) != sk_c9
| multiply(X4,sk_c9) != sk_c9
| inverse(X1) != sk_c7
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137])]) ).
cnf(c_0_150,negated_conjecture,
( multiply(inverse(sk_c7),sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_37,c_0_144]) ).
cnf(c_0_152,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
prove_this_28 ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_122,c_0_139]) ).
cnf(c_0_155,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c6)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
prove_this_24 ).
cnf(c_0_157,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| identity = sk_c6
| multiply(X1,sk_c9) != sk_c7
| multiply(X2,sk_c9) != sk_c9
| multiply(X3,sk_c9) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_63])]) ).
cnf(c_0_158,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| identity = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_35]) ).
cnf(c_0_159,negated_conjecture,
( sk_c2 = sk_c1
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_153]),c_0_35]) ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c8,multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_154]) ).
cnf(c_0_161,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_115,c_0_155]) ).
cnf(c_0_162,negated_conjecture,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| identity = sk_c6
| multiply(X1,sk_c9) != sk_c9
| multiply(X2,sk_c9) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c9 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_35]),c_0_63])]),c_0_158]) ).
cnf(c_0_164,negated_conjecture,
( inverse(sk_c9) = sk_c9
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( inverse(multiply(sk_c8,sk_c6)) = sk_c5
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_63,c_0_140]) ).
cnf(c_0_166,negated_conjecture,
( multiply(sk_c8,sk_c6) = multiply(sk_c8,sk_c7)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_162,c_0_123]) ).
cnf(c_0_168,negated_conjecture,
( identity = sk_c9
| sk_c7 != sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_35]) ).
cnf(c_0_169,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| sk_c2 = sk_c1
| identity = sk_c6
| multiply(X1,sk_c9) != sk_c9
| inverse(X1) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_153]),c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_34 ).
cnf(c_0_171,negated_conjecture,
( inverse(multiply(sk_c8,sk_c7)) = sk_c5
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_172,negated_conjecture,
( multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_160,c_0_167]) ).
cnf(c_0_173,negated_conjecture,
( multiply(X1,sk_c9) = X1
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_168]) ).
cnf(c_0_174,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| identity = sk_c6
| sk_c2 = sk_c1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_35]),c_0_63])]),c_0_159]) ).
cnf(c_0_175,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_63,c_0_170]) ).
cnf(c_0_176,negated_conjecture,
( inverse(multiply(sk_c8,sk_c9)) = sk_c5
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,negated_conjecture,
( inverse(sk_c9) = identity
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_35,c_0_173]) ).
cnf(c_0_178,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| sk_c2 = sk_c1
| identity = sk_c6 ),
inference(spm,[status(thm)],[c_0_37,c_0_174]) ).
cnf(c_0_179,negated_conjecture,
( inverse(sk_c9) = sk_c5
| inverse(sk_c2) = sk_c9 ),
inference(rw,[status(thm)],[c_0_175,c_0_137]) ).
cnf(c_0_180,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c7
| sk_c7 = sk_c9 ),
inference(rw,[status(thm)],[c_0_93,c_0_137]) ).
cnf(c_0_181,negated_conjecture,
( inverse(sk_c5) = multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_63,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( inverse(sk_c9) = identity
| sk_c7 != sk_c9 ),
inference(rw,[status(thm)],[c_0_177,c_0_137]) ).
cnf(c_0_183,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c9) = sk_c5
| identity = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_184,negated_conjecture,
( sk_c2 = sk_c1
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_180,c_0_153]) ).
cnf(c_0_185,negated_conjecture,
( multiply(sk_c8,sk_c6) = multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_140,c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| sk_c2 = sk_c1
| identity = sk_c6
| identity = sk_c5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c6 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_185]),c_0_37]) ).
cnf(c_0_188,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_63,c_0_175]) ).
cnf(c_0_189,negated_conjecture,
( multiply(sk_c7,multiply(sk_c7,X1)) = multiply(sk_c9,X1)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_34,c_0_66]) ).
cnf(c_0_190,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_57]),c_0_35]) ).
cnf(c_0_191,negated_conjecture,
( inverse(sk_c8) = sk_c1
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_128]) ).
cnf(c_0_192,negated_conjecture,
( multiply(sk_c3,X1) = X1
| identity = sk_c5
| identity = sk_c6
| sk_c2 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_186]),c_0_37]) ).
cnf(c_0_193,negated_conjecture,
( multiply(inverse(sk_c9),sk_c8) = sk_c3
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_187]) ).
cnf(c_0_194,negated_conjecture,
( inverse(sk_c9) = sk_c2
| inverse(sk_c9) = sk_c5 ),
inference(rw,[status(thm)],[c_0_188,c_0_137]) ).
cnf(c_0_195,negated_conjecture,
( multiply(sk_c7,sk_c7) = multiply(sk_c9,sk_c7)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_189,c_0_89]) ).
cnf(c_0_196,negated_conjecture,
( identity = sk_c3
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_190]),c_0_35]) ).
cnf(c_0_197,negated_conjecture,
( inverse(sk_c9) = sk_c4
| inverse(sk_c9) = sk_c1 ),
inference(rw,[status(thm)],[c_0_191,c_0_137]) ).
cnf(c_0_198,negated_conjecture,
( multiply(inverse(sk_c3),X1) = X1
| sk_c2 = sk_c1
| identity = sk_c6
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_37,c_0_192]) ).
cnf(c_0_199,negated_conjecture,
( sk_c6 = sk_c9
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_137]),c_0_35]) ).
cnf(c_0_200,negated_conjecture,
( inverse(sk_c9) = sk_c2
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_130]) ).
cnf(c_0_201,negated_conjecture,
( inverse(sk_c9) = sk_c1
| inverse(sk_c9) = sk_c5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_137]),c_0_137]) ).
cnf(c_0_202,negated_conjecture,
( inverse(sk_c9) = sk_c2
| sk_c5 != sk_c2 ),
inference(ef,[status(thm)],[c_0_194]) ).
cnf(c_0_203,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_66,c_0_195]) ).
cnf(c_0_204,negated_conjecture,
( identity = sk_c8
| sk_c3 != sk_c8 ),
inference(ef,[status(thm)],[c_0_196]) ).
cnf(c_0_205,negated_conjecture,
( inverse(sk_c9) = sk_c4
| sk_c1 != sk_c4 ),
inference(ef,[status(thm)],[c_0_197]) ).
cnf(c_0_206,negated_conjecture,
( inverse(sk_c3) = identity
| identity = sk_c5
| identity = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_58,c_0_198]) ).
cnf(c_0_207,negated_conjecture,
( sk_c2 = sk_c1
| sk_c3 = sk_c9
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_199,c_0_159]) ).
cnf(c_0_208,negated_conjecture,
( inverse(sk_c9) = sk_c1
| sk_c5 = sk_c4
| sk_c5 = sk_c2 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_209,negated_conjecture,
( inverse(sk_c9) = sk_c2
| sk_c5 = sk_c4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_194]),c_0_202]) ).
cnf(c_0_210,negated_conjecture,
( inverse(sk_c9) = sk_c4
| sk_c2 != sk_c4 ),
inference(ef,[status(thm)],[c_0_200]) ).
cnf(c_0_211,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_203]) ).
cnf(c_0_212,negated_conjecture,
( inverse(sk_c8) = sk_c8
| sk_c3 != sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_204]) ).
cnf(c_0_213,negated_conjecture,
( inverse(sk_c9) = sk_c4
| sk_c2 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_197]),c_0_205]) ).
cnf(c_0_214,negated_conjecture,
( inverse(sk_c9) = identity
| sk_c6 = sk_c9
| sk_c2 = sk_c1
| identity = sk_c6
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,negated_conjecture,
( sk_c5 = sk_c2
| sk_c5 = sk_c4
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_216,negated_conjecture,
( multiply(inverse(inverse(sk_c1)),sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_111]) ).
cnf(c_0_217,negated_conjecture,
( inverse(sk_c4) = sk_c9
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_210]) ).
cnf(c_0_218,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c7)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_147,c_0_154]) ).
cnf(c_0_219,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
prove_this_35 ).
cnf(c_0_220,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| multiply(sk_c8,sk_c7) = sk_c9
| sk_c3 != sk_c8 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_221,negated_conjecture,
( identity = sk_c5
| identity = sk_c6
| sk_c6 = sk_c9
| sk_c2 = sk_c1
| identity = sk_c4 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_222,negated_conjecture,
( sk_c2 = sk_c1
| sk_c5 = sk_c4
| sk_c2 != sk_c4 ),
inference(ef,[status(thm)],[c_0_215]) ).
cnf(c_0_223,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_112]),c_0_35]) ).
cnf(c_0_224,negated_conjecture,
( multiply(sk_c4,sk_c9) = identity
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_35,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| identity = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_154]),c_0_35]) ).
cnf(c_0_226,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_127,c_0_217]) ).
cnf(c_0_227,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_8 ).
cnf(c_0_228,negated_conjecture,
( multiply(sk_c7,multiply(sk_c7,X1)) = multiply(sk_c9,X1)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_167]) ).
cnf(c_0_229,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_115,c_0_218]) ).
cnf(c_0_230,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_63,c_0_219]) ).
cnf(c_0_231,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| sk_c3 != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_137]),c_0_137])]) ).
cnf(c_0_232,negated_conjecture,
( identity = sk_c4
| identity = sk_c5
| sk_c6 = sk_c9
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_159,c_0_221]) ).
cnf(c_0_233,negated_conjecture,
( sk_c5 = sk_c4
| sk_c2 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_209]),c_0_222]) ).
cnf(c_0_234,negated_conjecture,
( identity = sk_c9
| identity = sk_c8
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,negated_conjecture,
( multiply(inverse(sk_c9),sk_c8) = sk_c3
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_37,c_0_225]) ).
cnf(c_0_236,negated_conjecture,
( multiply(sk_c9,sk_c4) = identity
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_35,c_0_217]) ).
cnf(c_0_237,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| sk_c2 != sk_c4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_137]),c_0_137]),c_0_137])]) ).
cnf(c_0_238,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_227]) ).
cnf(c_0_239,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_95,c_0_81]) ).
cnf(c_0_240,negated_conjecture,
( multiply(sk_c7,sk_c7) = multiply(sk_c9,sk_c7)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_241,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_63,c_0_230]) ).
cnf(c_0_242,negated_conjecture,
( identity = sk_c7
| sk_c3 != sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_231]),c_0_35]) ).
cnf(c_0_243,negated_conjecture,
( sk_c2 = sk_c1
| sk_c6 = sk_c9
| identity = sk_c4 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_232]),c_0_233]) ).
cnf(c_0_244,negated_conjecture,
( identity = sk_c9
| sk_c2 != sk_c4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_137])]) ).
cnf(c_0_245,negated_conjecture,
( identity = sk_c7
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_137]),c_0_35]) ).
cnf(c_0_246,negated_conjecture,
( identity = sk_c4
| sk_c2 != sk_c4
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_236,c_0_84]) ).
cnf(c_0_247,negated_conjecture,
( sk_c7 = sk_c9
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_237,c_0_180]) ).
cnf(c_0_248,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c9
| inverse(sk_c9) = sk_c4 ),
inference(rw,[status(thm)],[c_0_238,c_0_137]) ).
cnf(c_0_249,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c9
| inverse(sk_c9) = sk_c5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_137]),c_0_137]) ).
cnf(c_0_250,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_63,c_0_136]) ).
cnf(c_0_251,negated_conjecture,
( multiply(sk_c9,X1) = X1
| sk_c7 != sk_c9 ),
inference(rw,[status(thm)],[c_0_84,c_0_137]) ).
cnf(c_0_252,negated_conjecture,
( multiply(sk_c9,sk_c7) = multiply(sk_c9,sk_c9)
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_137]),c_0_137]),c_0_137]) ).
cnf(c_0_253,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_239]) ).
cnf(c_0_254,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_167,c_0_240]) ).
cnf(c_0_255,negated_conjecture,
( inverse(sk_c9) = sk_c2
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_63,c_0_241]) ).
cnf(c_0_256,negated_conjecture,
( sk_c6 = sk_c9
| sk_c2 = sk_c1
| sk_c4 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_207]) ).
cnf(c_0_257,negated_conjecture,
( identity = sk_c7
| sk_c2 != sk_c4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_242]) ).
cnf(c_0_258,negated_conjecture,
( identity = sk_c4
| sk_c2 != sk_c4 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_137]),c_0_247]) ).
cnf(c_0_259,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
prove_this_12 ).
cnf(c_0_260,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c9
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_261,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_137]),c_0_137]),c_0_137]),c_0_137])]) ).
cnf(c_0_262,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c7,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_180]) ).
cnf(c_0_263,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_253,c_0_70]) ).
cnf(c_0_264,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| sk_c3 = sk_c8
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_254,c_0_84]) ).
cnf(c_0_265,negated_conjecture,
( inverse(sk_c9) = sk_c7
| inverse(sk_c9) = sk_c2
| sk_c4 = sk_c7
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_266,negated_conjecture,
( sk_c4 = sk_c7
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_267,negated_conjecture,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_259]) ).
cnf(c_0_268,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
prove_this_11 ).
cnf(c_0_269,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_50]) ).
cnf(c_0_270,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_167,c_0_229]) ).
cnf(c_0_271,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c9
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_37,c_0_260]) ).
cnf(c_0_272,negated_conjecture,
( inverse(sk_c1) = sk_c9
| sk_c7 = sk_c9 ),
inference(rw,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_273,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_63,c_0_263]) ).
cnf(c_0_274,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| sk_c7 != sk_c9 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_137]),c_0_137]),c_0_231]) ).
cnf(c_0_275,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_253,c_0_119]) ).
cnf(c_0_276,negated_conjecture,
( inverse(sk_c9) = sk_c7
| sk_c4 = sk_c7
| sk_c2 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_265]),c_0_266]) ).
cnf(c_0_277,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c7,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_278,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| identity = sk_c4
| sk_c7 != sk_c8 ),
inference(spm,[status(thm)],[c_0_269,c_0_177]) ).
cnf(c_0_279,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| sk_c7 = sk_c9 ),
inference(rw,[status(thm)],[c_0_270,c_0_137]) ).
cnf(c_0_280,negated_conjecture,
( multiply(X1,sk_c9) = X1
| sk_c7 != sk_c9 ),
inference(rw,[status(thm)],[c_0_173,c_0_137]) ).
cnf(c_0_281,negated_conjecture,
( sk_c5 = sk_c4
| sk_c7 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_262])]) ).
cnf(c_0_282,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_63,c_0_139]) ).
cnf(c_0_283,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(csr,[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_273,c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_262]),c_0_274]) ).
cnf(c_0_284,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_275]) ).
cnf(c_0_285,negated_conjecture,
( sk_c2 = sk_c1
| sk_c4 = sk_c7 ),
inference(spm,[status(thm)],[c_0_213,c_0_276]) ).
cnf(c_0_286,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_277]) ).
cnf(c_0_287,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| identity = sk_c4 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_137]),c_0_137]),c_0_279]) ).
cnf(c_0_288,negated_conjecture,
( inverse(sk_c1) = sk_c9
| sk_c5 = sk_c4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_271]),c_0_281]) ).
cnf(c_0_289,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c9) = sk_c4 ),
inference(rw,[status(thm)],[c_0_269,c_0_137]) ).
cnf(c_0_290,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c9) = sk_c5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_137]),c_0_137]) ).
cnf(c_0_291,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| inverse(sk_c9) = sk_c5 ),
inference(spm,[status(thm)],[c_0_63,c_0_283]) ).
cnf(c_0_292,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| inverse(sk_c9) = sk_c4 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_262]),c_0_274]) ).
cnf(c_0_293,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c3
| sk_c4 = sk_c7
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_158,c_0_285]) ).
cnf(c_0_294,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c9
| identity = sk_c7 ),
inference(rw,[status(thm)],[c_0_102,c_0_137]) ).
cnf(c_0_295,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_286,c_0_119]) ).
cnf(c_0_296,negated_conjecture,
( identity = sk_c4
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_287]),c_0_35]) ).
cnf(c_0_297,negated_conjecture,
( inverse(sk_c9) = sk_c1
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_288]) ).
cnf(c_0_298,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c9
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_299,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c9
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_300,negated_conjecture,
( identity = sk_c7
| sk_c4 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_242]) ).
cnf(c_0_301,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_127,c_0_295]) ).
cnf(c_0_302,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c9
| identity = sk_c7 ),
inference(rw,[status(thm)],[c_0_108,c_0_137]) ).
cnf(c_0_303,negated_conjecture,
( identity = sk_c7
| sk_c7 != sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_274]),c_0_35]) ).
cnf(c_0_304,negated_conjecture,
( identity = sk_c4
| sk_c3 != sk_c4 ),
inference(ef,[status(thm)],[c_0_296]) ).
cnf(c_0_305,negated_conjecture,
( sk_c5 = sk_c4
| identity = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_297]),c_0_281]) ).
cnf(c_0_306,negated_conjecture,
( sk_c5 = sk_c4
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_298]),c_0_35]) ).
cnf(c_0_307,negated_conjecture,
( sk_c5 = sk_c4
| identity = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_299]),c_0_35]) ).
cnf(c_0_308,negated_conjecture,
( multiply(X1,sk_c7) = X1
| sk_c4 = sk_c7 ),
inference(spm,[status(thm)],[c_0_58,c_0_300]) ).
cnf(c_0_309,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c9
| sk_c7 = sk_c9 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_137]),c_0_137]),c_0_137])]),c_0_262]) ).
cnf(c_0_310,negated_conjecture,
identity = sk_c7,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_272]),c_0_262])]),c_0_303]) ).
cnf(c_0_311,negated_conjecture,
( sk_c5 = sk_c4
| sk_c1 = sk_c4
| sk_c3 != sk_c4 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_312,negated_conjecture,
( sk_c3 = sk_c7
| sk_c5 = sk_c4 ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_313,negated_conjecture,
( inverse(sk_c4) = sk_c9
| sk_c1 != sk_c4 ),
inference(spm,[status(thm)],[c_0_63,c_0_205]) ).
cnf(c_0_314,negated_conjecture,
( sk_c4 = sk_c7
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_315,plain,
inverse(sk_c7) = sk_c7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_310]),c_0_310]) ).
cnf(c_0_316,negated_conjecture,
( sk_c1 = sk_c4
| sk_c5 = sk_c4
| sk_c4 != sk_c7 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_317,negated_conjecture,
( sk_c7 = sk_c9
| sk_c1 != sk_c7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315])]) ).
cnf(c_0_318,negated_conjecture,
( sk_c7 = sk_c9
| sk_c5 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_314]),c_0_317]) ).
cnf(c_0_319,negated_conjecture,
multiply(sk_c9,sk_c7) = sk_c9,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_318]),c_0_315])]),c_0_274]) ).
cnf(c_0_320,negated_conjecture,
multiply(sk_c7,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_319]),c_0_37]) ).
cnf(c_0_321,negated_conjecture,
sk_c7 = sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_320])]) ).
cnf(c_0_322,negated_conjecture,
multiply(X1,sk_c9) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_321])]) ).
cnf(c_0_323,negated_conjecture,
multiply(sk_c9,X1) = X1,
inference(rw,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_324,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_321]),c_0_321]) ).
cnf(c_0_325,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(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)],[c_0_124,c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_137]),c_0_322]),c_0_323]),c_0_323]),c_0_321]),c_0_322]),c_0_321]),c_0_322]),c_0_321]),c_0_322]),c_0_322]),c_0_321])])])])])])]),c_0_324])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP319-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:31:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 6.86/4.65 % Version : CSE_E---1.7
% 6.86/4.65 % Problem : theBenchmark.p
% 6.86/4.65 % SZS status Unsatisfiable for theBenchmark.p
% 6.86/4.65 % SZS output start CNFRefutation
% See solution above
% 6.86/4.67 % Total time : 3.372s
%------------------------------------------------------------------------------