TSTP Solution File: GRP283-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP283-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Mon May 20 20:55:17 EDT 2024
% Result : Unsatisfiable 26.96s 3.86s
% Output : CNFRefutation 26.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 37
% Syntax : Number of clauses : 319 ( 29 unt; 282 nHn; 279 RR)
% Number of literals : 711 ( 710 equ; 84 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 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 : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_17,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_30,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(prove_this_34,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_36,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_33,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_35,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_0_37,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_38,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_39,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_40,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_41,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_42,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c8 ),
inference(fof_simplification,[status(thm)],[prove_this_37]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_5 ).
cnf(c_0_45,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c8 ),
c_0_43 ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c7) = sk_c6 ),
prove_this_14 ).
cnf(c_0_48,negated_conjecture,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c8 ),
prove_this_6 ).
cnf(c_0_50,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_18 ).
cnf(c_0_52,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c6 ),
prove_this_32 ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(sk_c7) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(X1) != sk_c8
| inverse(X4) != sk_c8 ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_13 ).
cnf(c_0_57,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c7 ),
prove_this_16 ).
cnf(c_0_59,negated_conjecture,
( multiply(inverse(sk_c8),identity) = sk_c2
| inverse(sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(X1) != sk_c8
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_55]),c_0_38]) ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_38,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_17 ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_50,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c8) = sk_c2 ),
inference(rw,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7
| inverse(X1) != sk_c8
| inverse(X4) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_38,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_15 ).
cnf(c_0_72,negated_conjecture,
( inverse(sk_c8) = sk_c2
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_23 ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| inverse(X2) != sk_c7
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c4) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_38,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
prove_this_26 ).
cnf(c_0_79,negated_conjecture,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_47]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| inverse(sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_50,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_24 ).
cnf(c_0_86,negated_conjecture,
( inverse(sk_c8) = sk_c1
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
prove_this_8 ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_38]) ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_38,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c7,sk_c6) = identity
| identity = sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_50,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| multiply(sk_c8,sk_c1) = identity
| identity = sk_c6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_11 ).
cnf(c_0_98,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_62,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_12 ).
cnf(c_0_101,negated_conjecture,
( inverse(sk_c8) = sk_c1
| identity = sk_c8
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_98]),c_0_45]) ).
cnf(c_0_102,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( multiply(sk_c1,sk_c8) = identity
| identity = sk_c6
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_101]) ).
cnf(c_0_105,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c8
| identity = sk_c8
| identity = sk_c6
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_38,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( identity = sk_c7
| identity = sk_c8
| identity = sk_c6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_106]),c_0_38])]) ).
cnf(c_0_109,negated_conjecture,
( inverse(sk_c6) = sk_c6
| identity = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( identity = sk_c8
| identity = sk_c7
| sk_c6 != sk_c7 ),
inference(ef,[status(thm)],[c_0_108]) ).
cnf(c_0_111,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_38,c_0_50]) ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c6,X1) = X1
| identity = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_39,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_3 ).
cnf(c_0_114,negated_conjecture,
( inverse(sk_c8) = sk_c1
| identity = sk_c7
| identity = sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_109]),c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( inverse(sk_c6) = identity
| identity = sk_c7
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_1 ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c6,X1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_118,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
prove_this_4 ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c1,sk_c8) = identity
| identity = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_38,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| identity = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_92,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
prove_this_2 ).
cnf(c_0_124,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_117,c_0_55]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_21 ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
( identity = sk_c8
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( multiply(sk_c7,multiply(sk_c6,X1)) = multiply(sk_c8,X1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_37,c_0_116]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( multiply(sk_c6,sk_c6) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_44,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c7 ),
prove_this_22 ).
cnf(c_0_133,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_126]),c_0_38]) ).
cnf(c_0_134,negated_conjecture,
( inverse(sk_c7) = sk_c7
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_107,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
prove_this_20 ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c7,sk_c6) = multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_137,negated_conjecture,
( multiply(sk_c7,sk_c6) = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_128,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| inverse(sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c8,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_133]) ).
cnf(c_0_141,negated_conjecture,
( multiply(sk_c7,sk_c7) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_134]) ).
cnf(c_0_142,negated_conjecture,
( multiply(inverse(sk_c5),multiply(sk_c6,X1)) = multiply(sk_c8,X1)
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_37,c_0_79]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c6,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_135]) ).
cnf(c_0_144,negated_conjecture,
( multiply(sk_c8,sk_c6) = multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_145,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_138]),c_0_38]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| multiply(sk_c6,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_139]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_45]) ).
cnf(c_0_148,negated_conjecture,
( inverse(sk_c5) = multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_45]) ).
cnf(c_0_149,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_144]),c_0_40]) ).
cnf(c_0_150,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c3
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
( multiply(X1,sk_c7) = X1
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_45,c_0_127]) ).
cnf(c_0_152,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( inverse(multiply(sk_c8,sk_c7)) = sk_c5
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_50,c_0_148]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c8,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_149]) ).
cnf(c_0_155,negated_conjecture,
( multiply(sk_c7,X1) = X1
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_127]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_29 ).
cnf(c_0_157,negated_conjecture,
( inverse(sk_c8) = sk_c3
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_158,negated_conjecture,
( inverse(sk_c8) = sk_c2
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_152]),c_0_45]) ).
cnf(c_0_159,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_25 ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c6) = sk_c5
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_153,c_0_149]) ).
cnf(c_0_161,negated_conjecture,
( multiply(sk_c6,inverse(sk_c7)) = sk_c8
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_111]),c_0_45]) ).
cnf(c_0_162,negated_conjecture,
( inverse(sk_c7) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_111,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_40,c_0_156]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
prove_this_30 ).
cnf(c_0_165,negated_conjecture,
( identity = sk_c8
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_159]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c6
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_50,c_0_160]) ).
cnf(c_0_168,negated_conjecture,
( identity = sk_c8
| sk_c6 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_45])]) ).
cnf(c_0_169,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( multiply(X1,sk_c8) = X1
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_45,c_0_165]) ).
cnf(c_0_171,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
prove_this_34 ).
cnf(c_0_172,negated_conjecture,
( multiply(inverse(inverse(sk_c2)),sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_166]) ).
cnf(c_0_173,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_31 ).
cnf(c_0_174,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_85,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( multiply(sk_c8,X1) = X1
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_168]) ).
cnf(c_0_176,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c8
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_177,negated_conjecture,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_171]) ).
cnf(c_0_178,negated_conjecture,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_58]) ).
cnf(c_0_179,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_38]) ).
cnf(c_0_180,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_36 ).
cnf(c_0_181,negated_conjecture,
( sk_c6 = sk_c8
| sk_c3 = sk_c7 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,negated_conjecture,
( sk_c3 = sk_c2
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_33 ).
cnf(c_0_184,negated_conjecture,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_177]) ).
cnf(c_0_185,negated_conjecture,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_178]) ).
cnf(c_0_186,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c6
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_40,c_0_179]) ).
cnf(c_0_187,negated_conjecture,
( multiply(X1,sk_c8) = X1
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_45,c_0_168]) ).
cnf(c_0_188,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_50,c_0_180]) ).
cnf(c_0_189,negated_conjecture,
( sk_c2 = sk_c7
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_190,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_183]) ).
cnf(c_0_191,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_71]) ).
cnf(c_0_192,negated_conjecture,
( multiply(sk_c7,sk_c4) = identity
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_193,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c3
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_174]) ).
cnf(c_0_194,negated_conjecture,
( inverse(sk_c8) = sk_c8
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_107,c_0_168]) ).
cnf(c_0_195,negated_conjecture,
( inverse(sk_c7) = sk_c6
| sk_c6 = sk_c8
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_196,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c7) = sk_c8
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_197,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c2) = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_180]) ).
cnf(c_0_198,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( inverse(sk_c7) = sk_c4
| sk_c2 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_192]),c_0_45]) ).
cnf(c_0_200,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c3
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,negated_conjecture,
( inverse(sk_c8) = identity
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_111,c_0_175]) ).
cnf(c_0_202,negated_conjecture,
( inverse(sk_c8) = sk_c5
| identity = sk_c3
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_203,negated_conjecture,
( multiply(sk_c8,multiply(sk_c2,X1)) = X1
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_40,c_0_197]) ).
cnf(c_0_204,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_164]) ).
cnf(c_0_205,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_40,c_0_198]) ).
cnf(c_0_206,negated_conjecture,
( inverse(sk_c4) = sk_c7
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_199]) ).
cnf(c_0_207,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_38,c_0_51]) ).
cnf(c_0_208,negated_conjecture,
( sk_c6 = sk_c8
| sk_c3 = sk_c6 ),
inference(spm,[status(thm)],[c_0_149,c_0_200]) ).
cnf(c_0_209,negated_conjecture,
( identity = sk_c3
| sk_c6 = sk_c8
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_210,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c6,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_54]) ).
cnf(c_0_211,negated_conjecture,
( multiply(sk_c8,sk_c3) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_111,c_0_157]) ).
cnf(c_0_212,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| multiply(sk_c8,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_213,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c7
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_214,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_197]) ).
cnf(c_0_215,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_207]) ).
cnf(c_0_216,negated_conjecture,
( sk_c2 = sk_c6
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_208,c_0_182]) ).
cnf(c_0_217,negated_conjecture,
( inverse(sk_c3) = sk_c3
| identity = sk_c5
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_107,c_0_209]) ).
cnf(c_0_218,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_210,c_0_147]) ).
cnf(c_0_219,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_220,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_35 ).
cnf(c_0_221,negated_conjecture,
( sk_c2 = sk_c1
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_213]),c_0_38]) ).
cnf(c_0_222,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_223,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c6) = sk_c8
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_188,c_0_216]) ).
cnf(c_0_224,negated_conjecture,
( inverse(sk_c6) = sk_c6
| sk_c6 = sk_c8
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_217,c_0_208]) ).
cnf(c_0_225,negated_conjecture,
( inverse(sk_c8) = sk_c1
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_218]),c_0_45]) ).
cnf(c_0_226,negated_conjecture,
( inverse(sk_c8) = sk_c5
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_219]),c_0_45]) ).
cnf(c_0_227,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_220]) ).
cnf(c_0_228,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_64]) ).
cnf(c_0_229,negated_conjecture,
( inverse(sk_c8) = sk_c8
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_107,c_0_221]) ).
cnf(c_0_230,negated_conjecture,
( inverse(sk_c8) = sk_c5
| sk_c2 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_222]),c_0_45]) ).
cnf(c_0_231,negated_conjecture,
( inverse(sk_c8) = sk_c5
| identity = sk_c5
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_232,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_233,negated_conjecture,
( identity = sk_c8
| sk_c5 = sk_c1 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_234,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_235,negated_conjecture,
( sk_c2 = sk_c1
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_236,negated_conjecture,
( sk_c6 = sk_c8
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_201,c_0_231]) ).
cnf(c_0_237,negated_conjecture,
( multiply(inverse(multiply(X1,sk_c8)),multiply(X1,sk_c6)) = sk_c7
| identity = sk_c6 ),
inference(spm,[status(thm)],[c_0_232,c_0_61]) ).
cnf(c_0_238,negated_conjecture,
( multiply(sk_c8,X1) = X1
| sk_c5 = sk_c1 ),
inference(spm,[status(thm)],[c_0_39,c_0_233]) ).
cnf(c_0_239,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_50,c_0_171]) ).
cnf(c_0_240,negated_conjecture,
( multiply(sk_c8,sk_c8) = identity
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_38,c_0_229]) ).
cnf(c_0_241,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_242,negated_conjecture,
( multiply(inverse(multiply(X1,sk_c5)),multiply(X1,sk_c6)) = sk_c8
| multiply(sk_c8,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_232,c_0_69]) ).
cnf(c_0_243,negated_conjecture,
( multiply(sk_c5,X1) = X1
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_236]) ).
cnf(c_0_244,negated_conjecture,
( multiply(sk_c7,multiply(sk_c8,X1)) = multiply(sk_c7,X1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_37,c_0_126]) ).
cnf(c_0_245,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_246,negated_conjecture,
( sk_c5 = sk_c1
| identity = sk_c6
| sk_c6 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_40]) ).
cnf(c_0_247,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_57]) ).
cnf(c_0_248,negated_conjecture,
( inverse(sk_c7) = sk_c4
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_50,c_0_65]) ).
cnf(c_0_249,negated_conjecture,
( inverse(sk_c7) = sk_c4
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_239]) ).
cnf(c_0_250,negated_conjecture,
( sk_c2 = sk_c1
| identity = sk_c6 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_251,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| sk_c6 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_40])]) ).
cnf(c_0_252,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_45]) ).
cnf(c_0_253,negated_conjecture,
( inverse(sk_c6) = sk_c6
| sk_c6 = sk_c7
| sk_c5 = sk_c1 ),
inference(spm,[status(thm)],[c_0_107,c_0_246]) ).
cnf(c_0_254,negated_conjecture,
( inverse(sk_c8) = sk_c1
| sk_c5 != sk_c1 ),
inference(ef,[status(thm)],[c_0_247]) ).
cnf(c_0_255,negated_conjecture,
( inverse(sk_c8) = sk_c1
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_80,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
( inverse(sk_c8) = sk_c2
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_66,c_0_249]) ).
cnf(c_0_257,negated_conjecture,
( sk_c6 = sk_c8
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_221,c_0_250]) ).
cnf(c_0_258,negated_conjecture,
( sk_c6 = sk_c8
| identity = sk_c1 ),
inference(spm,[status(thm)],[c_0_175,c_0_251]) ).
cnf(c_0_259,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
prove_this_10 ).
cnf(c_0_260,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c7 ),
prove_this_28 ).
cnf(c_0_261,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| identity = sk_c5 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_252]),c_0_38]) ).
cnf(c_0_262,negated_conjecture,
( inverse(sk_c8) = identity
| sk_c5 = sk_c1 ),
inference(spm,[status(thm)],[c_0_111,c_0_238]) ).
cnf(c_0_263,negated_conjecture,
( inverse(sk_c8) = sk_c1
| sk_c6 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_253]),c_0_254]) ).
cnf(c_0_264,negated_conjecture,
( sk_c4 = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_265,negated_conjecture,
( multiply(sk_c8,multiply(sk_c6,X1)) = multiply(sk_c8,X1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_266,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_38,c_0_123]) ).
cnf(c_0_267,negated_conjecture,
( sk_c1 = sk_c6
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_257,c_0_216]) ).
cnf(c_0_268,negated_conjecture,
( sk_c6 = sk_c8
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_168,c_0_258]) ).
cnf(c_0_269,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_50,c_0_259]) ).
cnf(c_0_270,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_50,c_0_260]) ).
cnf(c_0_271,negated_conjecture,
( inverse(sk_c8) = sk_c5
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_50,c_0_188]) ).
cnf(c_0_272,negated_conjecture,
( sk_c5 = sk_c1
| identity = sk_c5
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_261,c_0_238]) ).
cnf(c_0_273,negated_conjecture,
( sk_c6 = sk_c7
| sk_c5 = sk_c1
| identity = sk_c1 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_274,negated_conjecture,
( inverse(sk_c6) = sk_c7
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_206,c_0_264]) ).
cnf(c_0_275,negated_conjecture,
( inverse(sk_c6) = sk_c6
| sk_c2 = sk_c1 ),
inference(spm,[status(thm)],[c_0_107,c_0_250]) ).
cnf(c_0_276,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_45]) ).
cnf(c_0_277,negated_conjecture,
sk_c6 = sk_c8,
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_278,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_87,c_0_269]) ).
cnf(c_0_279,negated_conjecture,
( multiply(sk_c1,sk_c8) = identity
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_38,c_0_255]) ).
cnf(c_0_280,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_78,c_0_270]) ).
cnf(c_0_281,negated_conjecture,
( multiply(sk_c2,sk_c8) = identity
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_38,c_0_256]) ).
cnf(c_0_282,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
prove_this_19 ).
cnf(c_0_283,negated_conjecture,
( inverse(sk_c8) = sk_c2
| sk_c5 != sk_c2 ),
inference(ef,[status(thm)],[c_0_271]) ).
cnf(c_0_284,negated_conjecture,
( sk_c6 = sk_c7
| sk_c5 = sk_c1 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_285,negated_conjecture,
( sk_c2 = sk_c1
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_286,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_277])]) ).
cnf(c_0_287,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c4 ),
inference(spm,[status(thm)],[c_0_50,c_0_132]) ).
cnf(c_0_288,negated_conjecture,
( sk_c4 = sk_c6
| identity = sk_c7 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_289,negated_conjecture,
( sk_c4 = sk_c6
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_290,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_40,c_0_282]) ).
cnf(c_0_291,negated_conjecture,
( inverse(sk_c8) = sk_c2
| sk_c6 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]) ).
cnf(c_0_292,negated_conjecture,
identity = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_286]),c_0_38]) ).
cnf(c_0_293,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_135,c_0_287]) ).
cnf(c_0_294,negated_conjecture,
( sk_c3 = sk_c7
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_295,negated_conjecture,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_40,c_0_278]) ).
cnf(c_0_296,negated_conjecture,
( inverse(sk_c1) = sk_c8
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_50,c_0_255]) ).
cnf(c_0_297,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_290,c_0_135]) ).
cnf(c_0_298,negated_conjecture,
( multiply(sk_c2,sk_c8) = identity
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_38,c_0_291]) ).
cnf(c_0_299,plain,
inverse(sk_c7) = sk_c7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_292]),c_0_292]) ).
cnf(c_0_300,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c7
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_301,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_302,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_297]),c_0_40]) ).
cnf(c_0_303,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_277]),c_0_292]) ).
cnf(c_0_304,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| sk_c4 = sk_c7 ),
inference(spm,[status(thm)],[c_0_270,c_0_299]) ).
cnf(c_0_305,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_232,c_0_40]) ).
cnf(c_0_306,plain,
multiply(inverse(multiply(X1,inverse(X2))),X1) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_38]),c_0_45]) ).
cnf(c_0_307,negated_conjecture,
( sk_c4 = sk_c6
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_308,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c3 != sk_c7 ),
inference(ef,[status(thm)],[c_0_302]) ).
cnf(c_0_309,negated_conjecture,
( sk_c4 = sk_c7
| sk_c7 = sk_c8
| sk_c3 = sk_c7 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_310,negated_conjecture,
multiply(X1,sk_c7) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_286]),c_0_306]) ).
cnf(c_0_311,negated_conjecture,
( sk_c7 = sk_c8
| sk_c4 = sk_c8 ),
inference(rw,[status(thm)],[c_0_307,c_0_277]) ).
cnf(c_0_312,negated_conjecture,
( sk_c4 = sk_c7
| sk_c7 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310])]) ).
cnf(c_0_313,negated_conjecture,
sk_c7 = sk_c8,
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_314,negated_conjecture,
multiply(sk_c7,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_286]),c_0_40]) ).
cnf(c_0_315,negated_conjecture,
multiply(X1,sk_c8) = X1,
inference(rw,[status(thm)],[c_0_310,c_0_313]) ).
cnf(c_0_316,negated_conjecture,
multiply(sk_c8,X1) = X1,
inference(rw,[status(thm)],[c_0_314,c_0_313]) ).
cnf(c_0_317,plain,
inverse(sk_c8) = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_313]),c_0_313]) ).
cnf(c_0_318,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(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)],[c_0_53,c_0_277]),c_0_277]),c_0_277]),c_0_277]),c_0_315]),c_0_316]),c_0_313]),c_0_310]),c_0_314]),c_0_315]),c_0_313]),c_0_315]),c_0_315]),c_0_313]),c_0_313]),c_0_317]),c_0_313])])])])])]),c_0_317])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP283-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 04:16:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.96/3.86 # Version: 3.1.0
% 26.96/3.86 # Preprocessing class: FSMSSMSMSSSNFFN.
% 26.96/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.96/3.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 26.96/3.86 # Starting new_bool_3 with 300s (1) cores
% 26.96/3.86 # Starting new_bool_1 with 300s (1) cores
% 26.96/3.86 # Starting sh5l with 300s (1) cores
% 26.96/3.86 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 17027 completed with status 0
% 26.96/3.86 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 26.96/3.86 # Preprocessing class: FSMSSMSMSSSNFFN.
% 26.96/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.96/3.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 26.96/3.86 # No SInE strategy applied
% 26.96/3.86 # Search class: FGHPS-FFMM21-SFFFFFNN
% 26.96/3.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 26.96/3.86 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 26.96/3.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 26.96/3.86 # Starting new_bool_3 with 136s (1) cores
% 26.96/3.86 # Starting new_bool_1 with 136s (1) cores
% 26.96/3.86 # Starting sh5l with 136s (1) cores
% 26.96/3.86 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 17032 completed with status 0
% 26.96/3.86 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 26.96/3.86 # Preprocessing class: FSMSSMSMSSSNFFN.
% 26.96/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.96/3.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 26.96/3.86 # No SInE strategy applied
% 26.96/3.86 # Search class: FGHPS-FFMM21-SFFFFFNN
% 26.96/3.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 26.96/3.86 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 26.96/3.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 26.96/3.86 # Preprocessing time : 0.001 s
% 26.96/3.86 # Presaturation interreduction done
% 26.96/3.86
% 26.96/3.86 # Proof found!
% 26.96/3.86 # SZS status Unsatisfiable
% 26.96/3.86 # SZS output start CNFRefutation
% See solution above
% 26.96/3.86 # Parsed axioms : 40
% 26.96/3.86 # Removed by relevancy pruning/SinE : 0
% 26.96/3.86 # Initial clauses : 40
% 26.96/3.86 # Removed in clause preprocessing : 0
% 26.96/3.86 # Initial clauses in saturation : 40
% 26.96/3.86 # Processed clauses : 30685
% 26.96/3.86 # ...of these trivial : 1055
% 26.96/3.86 # ...subsumed : 25783
% 26.96/3.86 # ...remaining for further processing : 3847
% 26.96/3.86 # Other redundant clauses eliminated : 81
% 26.96/3.86 # Clauses deleted for lack of memory : 0
% 26.96/3.86 # Backward-subsumed : 1036
% 26.96/3.86 # Backward-rewritten : 2727
% 26.96/3.86 # Generated clauses : 390600
% 26.96/3.86 # ...of the previous two non-redundant : 385364
% 26.96/3.86 # ...aggressively subsumed : 0
% 26.96/3.86 # Contextual simplify-reflections : 79
% 26.96/3.86 # Paramodulations : 390444
% 26.96/3.86 # Factorizations : 90
% 26.96/3.86 # NegExts : 0
% 26.96/3.86 # Equation resolutions : 81
% 26.96/3.86 # Disequality decompositions : 0
% 26.96/3.86 # Total rewrite steps : 112551
% 26.96/3.86 # ...of those cached : 110178
% 26.96/3.86 # Propositional unsat checks : 0
% 26.96/3.86 # Propositional check models : 0
% 26.96/3.86 # Propositional check unsatisfiable : 0
% 26.96/3.86 # Propositional clauses : 0
% 26.96/3.86 # Propositional clauses after purity: 0
% 26.96/3.86 # Propositional unsat core size : 0
% 26.96/3.86 # Propositional preprocessing time : 0.000
% 26.96/3.86 # Propositional encoding time : 0.000
% 26.96/3.86 # Propositional solver time : 0.000
% 26.96/3.86 # Success case prop preproc time : 0.000
% 26.96/3.86 # Success case prop encoding time : 0.000
% 26.96/3.86 # Success case prop solver time : 0.000
% 26.96/3.86 # Current number of processed clauses : 38
% 26.96/3.86 # Positive orientable unit clauses : 23
% 26.96/3.86 # Positive unorientable unit clauses: 0
% 26.96/3.86 # Negative unit clauses : 0
% 26.96/3.86 # Non-unit-clauses : 15
% 26.96/3.86 # Current number of unprocessed clauses: 136342
% 26.96/3.86 # ...number of literals in the above : 523044
% 26.96/3.86 # Current number of archived formulas : 0
% 26.96/3.86 # Current number of archived clauses : 3803
% 26.96/3.86 # Clause-clause subsumption calls (NU) : 493347
% 26.96/3.86 # Rec. Clause-clause subsumption calls : 138170
% 26.96/3.86 # Non-unit clause-clause subsumptions : 26859
% 26.96/3.86 # Unit Clause-clause subsumption calls : 2206
% 26.96/3.86 # Rewrite failures with RHS unbound : 0
% 26.96/3.86 # BW rewrite match attempts : 220
% 26.96/3.86 # BW rewrite match successes : 88
% 26.96/3.86 # Condensation attempts : 0
% 26.96/3.86 # Condensation successes : 0
% 26.96/3.86 # Termbank termtop insertions : 4554072
% 26.96/3.86 # Search garbage collected termcells : 32
% 26.96/3.86
% 26.96/3.86 # -------------------------------------------------
% 26.96/3.86 # User time : 3.174 s
% 26.96/3.86 # System time : 0.169 s
% 26.96/3.86 # Total time : 3.343 s
% 26.96/3.86 # Maximum resident set size: 1652 pages
% 26.96/3.86
% 26.96/3.86 # -------------------------------------------------
% 26.96/3.86 # User time : 16.359 s
% 26.96/3.86 # System time : 0.399 s
% 26.96/3.86 # Total time : 16.758 s
% 26.96/3.86 # Maximum resident set size: 1760 pages
% 26.96/3.86 % E---3.1 exiting
%------------------------------------------------------------------------------