TSTP Solution File: GRP340-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP340-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 20:55:33 EDT 2024
% Result : Unsatisfiable 6.80s 1.33s
% Output : CNFRefutation 6.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 31
% Syntax : Number of clauses : 186 ( 21 unt; 153 nHn; 158 RR)
% Number of literals : 497 ( 496 equ; 147 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 105 ( 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_5,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_51,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| inverse(X2) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_39,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_34,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_33,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_45,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_19,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_46,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_36,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_35,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_37,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_38,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_40,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_17,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_0_31,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_32,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_33,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_34,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_5 ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| inverse(X2) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
inference(fof_simplification,[status(thm)],[prove_this_51]) ).
cnf(c_0_37,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_6 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| inverse(X2) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
c_0_36 ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c8,sk_c11) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c10,sk_c11) != sk_c9
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c10) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_32]) ).
cnf(c_0_43,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_44,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
prove_this_39 ).
cnf(c_0_46,negated_conjecture,
( identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c10) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_34 ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_33 ).
cnf(c_0_49,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( multiply(inverse(sk_c8),identity) = sk_c6
| inverse(sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_45 ).
cnf(c_0_52,negated_conjecture,
( inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c10) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
prove_this_32 ).
cnf(c_0_54,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_31 ).
cnf(c_0_55,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_49]),c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c8) = sk_c6 ),
inference(rw,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
prove_this_19 ).
cnf(c_0_59,negated_conjecture,
( inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c10) = sk_c2 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
prove_this_46 ).
cnf(c_0_63,negated_conjecture,
( multiply(inverse(sk_c8),identity) = sk_c6
| inverse(sk_c1) = sk_c11 ),
inference(spm,[status(thm)],[c_0_43,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_25 ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(sk_c10),sk_c9) != sk_c10
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| inverse(X3) != sk_c11 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55])]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c10) = sk_c2 ),
inference(spm,[status(thm)],[c_0_32,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c6 ),
inference(rw,[status(thm)],[c_0_63,c_0_49]) ).
cnf(c_0_69,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| inverse(X3) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_26 ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_55])]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_32,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_32]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
prove_this_36 ).
cnf(c_0_79,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_35 ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_37 ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(X1,sk_c8)) != sk_c8
| inverse(X1) != multiply(X1,sk_c8) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
prove_this_38 ).
cnf(c_0_83,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
prove_this_40 ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11
| inverse(multiply(sk_c7,sk_c8)) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c10,sk_c2) = identity
| multiply(sk_c6,sk_c8) = identity
| inverse(sk_c2) = sk_c10
| identity = sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_45]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c6,sk_c8) = identity
| multiply(sk_c10,sk_c2) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_32,c_0_86]) ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c10,sk_c2) = identity
| inverse(sk_c6) = sk_c8
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_87]),c_0_49]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c8,multiply(sk_c6,X1)) = X1
| multiply(sk_c10,sk_c2) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_88]) ).
cnf(c_0_90,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_55,c_0_78]) ).
cnf(c_0_91,negated_conjecture,
( multiply(inverse(sk_c8),X1) = multiply(sk_c6,X1)
| multiply(sk_c10,sk_c2) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c10,sk_c2) = identity
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_32,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_79]) ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c5,X1) = multiply(sk_c6,X1)
| multiply(sk_c10,sk_c2) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c10,sk_c2) = identity
| multiply(sk_c6,sk_c8) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c10,sk_c2) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_87,c_0_95]) ).
cnf(c_0_97,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_98,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_99,negated_conjecture,
( inverse(sk_c10) = sk_c2
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_96]),c_0_49]) ).
cnf(c_0_100,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
prove_this_12 ).
cnf(c_0_103,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_11 ).
cnf(c_0_104,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_32,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( identity = sk_c11
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_67,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_55,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_21 ).
cnf(c_0_110,negated_conjecture,
( inverse(sk_c11) = sk_c3
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( multiply(X1,sk_c11) = X1
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_49,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| sk_c11 = sk_c10
| sk_c1 = sk_c11 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
prove_this_22 ).
cnf(c_0_115,negated_conjecture,
( sk_c11 = sk_c10
| sk_c1 = sk_c11
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_110,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( sk_c1 = sk_c11
| sk_c11 = sk_c10
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
( sk_c1 = sk_c11
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_103]) ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c11,X1) = X1
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_33,c_0_105]) ).
cnf(c_0_121,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c11
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| inverse(sk_c1) = sk_c11 ),
inference(spm,[status(thm)],[c_0_32,c_0_102]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c3,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
sk_c11 = sk_c10,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_114]) ).
cnf(c_0_127,negated_conjecture,
( multiply(sk_c3,multiply(sk_c10,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c1) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_124]) ).
cnf(c_0_128,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| multiply(sk_c10,sk_c3) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_124]),c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c1,multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_49]) ).
cnf(c_0_131,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_17 ).
cnf(c_0_132,negated_conjecture,
( multiply(sk_c1,multiply(sk_c10,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c3) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_124]),c_0_124]) ).
cnf(c_0_133,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_32,c_0_55]) ).
cnf(c_0_134,negated_conjecture,
( inverse(sk_c10) = sk_c1
| identity = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_130]),c_0_49]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c10,sk_c3) = identity
| identity = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_49]) ).
cnf(c_0_137,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c10
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_124]),c_0_124]) ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c1,sk_c10) = identity
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_32,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_3 ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_135]) ).
cnf(c_0_141,negated_conjecture,
( inverse(sk_c10) = sk_c3
| identity = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_136]),c_0_49]) ).
cnf(c_0_142,negated_conjecture,
( identity = sk_c3
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_7 ).
cnf(c_0_144,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
prove_this_4 ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c1) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_124]),c_0_124]) ).
cnf(c_0_147,negated_conjecture,
( inverse(sk_c3) = sk_c10
| identity = sk_c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_141]) ).
cnf(c_0_148,negated_conjecture,
( inverse(sk_c3) = sk_c3
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_104,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( identity = sk_c10
| sk_c3 != sk_c10 ),
inference(ef,[status(thm)],[c_0_142]) ).
cnf(c_0_150,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_1 ).
cnf(c_0_151,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_143]) ).
cnf(c_0_152,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_128]),c_0_49]) ).
cnf(c_0_154,negated_conjecture,
( identity = sk_c10
| identity = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_155,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
prove_this_2 ).
cnf(c_0_157,negated_conjecture,
( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,negated_conjecture,
( inverse(sk_c10) = sk_c1
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_153]),c_0_49]) ).
cnf(c_0_159,negated_conjecture,
( identity = sk_c10
| sk_c1 != sk_c10 ),
inference(ef,[status(thm)],[c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c3,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_150]) ).
cnf(c_0_161,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_162,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_143,c_0_157]) ).
cnf(c_0_163,negated_conjecture,
( identity = sk_c1
| identity = sk_c8
| sk_c3 = sk_c1 ),
inference(spm,[status(thm)],[c_0_158,c_0_141]) ).
cnf(c_0_164,negated_conjecture,
( identity = sk_c10
| sk_c3 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_154]),c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( multiply(sk_c1,sk_c10) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c9)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_160,c_0_162]) ).
cnf(c_0_168,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c3) = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_124]),c_0_124]) ).
cnf(c_0_169,negated_conjecture,
( sk_c3 = sk_c1
| sk_c8 = sk_c10
| sk_c1 = sk_c10 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( identity = sk_c8
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_137,c_0_165]) ).
cnf(c_0_171,negated_conjecture,
( multiply(sk_c10,sk_c9) = multiply(sk_c10,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
( inverse(sk_c1) = sk_c1
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_104,c_0_154]) ).
cnf(c_0_173,negated_conjecture,
( inverse(sk_c1) = sk_c10
| sk_c1 = sk_c10
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( identity = sk_c10
| sk_c8 != sk_c10 ),
inference(ef,[status(thm)],[c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_171]),c_0_34]) ).
cnf(c_0_176,negated_conjecture,
identity = sk_c10,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_159]) ).
cnf(c_0_177,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c10,sk_c10) != sk_c9
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c10) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c10) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10 ),
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_41,c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]),c_0_124]) ).
cnf(c_0_178,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c9
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[c_0_175,c_0_124]) ).
cnf(c_0_179,plain,
multiply(X1,sk_c10) = X1,
inference(rw,[status(thm)],[c_0_49,c_0_176]) ).
cnf(c_0_180,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c10
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c10,sk_c10) != sk_c9
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c10) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c10) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10
| identity != sk_c10 ),
inference(rw,[status(thm)],[c_0_177,c_0_133]) ).
cnf(c_0_181,negated_conjecture,
sk_c9 = sk_c10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_182,plain,
inverse(sk_c10) = sk_c10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_176]),c_0_176]) ).
cnf(c_0_183,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(X2) != sk_c10 ),
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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_176])]),c_0_179]),c_0_179]),c_0_181]),c_0_179]),c_0_181]),c_0_179]),c_0_181]),c_0_179]),c_0_179])])])])])]),c_0_182])]) ).
cnf(c_0_184,negated_conjecture,
( inverse(X1) != sk_c10
| inverse(X1) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_182]),c_0_179]),c_0_179]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_184,c_0_182]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP340-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.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 06:13:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 6.80/1.33 # Version: 3.1.0
% 6.80/1.33 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.80/1.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.33 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.80/1.33 # Starting new_bool_3 with 300s (1) cores
% 6.80/1.33 # Starting new_bool_1 with 300s (1) cores
% 6.80/1.33 # Starting sh5l with 300s (1) cores
% 6.80/1.33 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 7459 completed with status 0
% 6.80/1.33 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 6.80/1.33 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.80/1.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.33 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.80/1.33 # No SInE strategy applied
% 6.80/1.33 # Search class: FGHPS-FFMM21-SFFFFFNN
% 6.80/1.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.80/1.33 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 6.80/1.33 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.80/1.33 # Starting new_bool_3 with 136s (1) cores
% 6.80/1.33 # Starting new_bool_1 with 136s (1) cores
% 6.80/1.33 # Starting sh5l with 136s (1) cores
% 6.80/1.33 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 7464 completed with status 0
% 6.80/1.33 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 6.80/1.33 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.80/1.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.33 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.80/1.33 # No SInE strategy applied
% 6.80/1.33 # Search class: FGHPS-FFMM21-SFFFFFNN
% 6.80/1.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.80/1.33 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 6.80/1.33 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.80/1.33 # Preprocessing time : 0.002 s
% 6.80/1.33 # Presaturation interreduction done
% 6.80/1.33
% 6.80/1.33 # Proof found!
% 6.80/1.33 # SZS status Unsatisfiable
% 6.80/1.33 # SZS output start CNFRefutation
% See solution above
% 6.80/1.33 # Parsed axioms : 54
% 6.80/1.33 # Removed by relevancy pruning/SinE : 0
% 6.80/1.33 # Initial clauses : 54
% 6.80/1.33 # Removed in clause preprocessing : 0
% 6.80/1.33 # Initial clauses in saturation : 54
% 6.80/1.33 # Processed clauses : 14792
% 6.80/1.33 # ...of these trivial : 141
% 6.80/1.33 # ...subsumed : 12345
% 6.80/1.33 # ...remaining for further processing : 2306
% 6.80/1.33 # Other redundant clauses eliminated : 28
% 6.80/1.33 # Clauses deleted for lack of memory : 0
% 6.80/1.33 # Backward-subsumed : 244
% 6.80/1.33 # Backward-rewritten : 1428
% 6.80/1.33 # Generated clauses : 118132
% 6.80/1.33 # ...of the previous two non-redundant : 116118
% 6.80/1.33 # ...aggressively subsumed : 0
% 6.80/1.33 # Contextual simplify-reflections : 33
% 6.80/1.33 # Paramodulations : 118076
% 6.80/1.33 # Factorizations : 32
% 6.80/1.33 # NegExts : 0
% 6.80/1.33 # Equation resolutions : 28
% 6.80/1.33 # Disequality decompositions : 0
% 6.80/1.33 # Total rewrite steps : 38090
% 6.80/1.33 # ...of those cached : 36487
% 6.80/1.33 # Propositional unsat checks : 0
% 6.80/1.33 # Propositional check models : 0
% 6.80/1.33 # Propositional check unsatisfiable : 0
% 6.80/1.33 # Propositional clauses : 0
% 6.80/1.33 # Propositional clauses after purity: 0
% 6.80/1.33 # Propositional unsat core size : 0
% 6.80/1.33 # Propositional preprocessing time : 0.000
% 6.80/1.33 # Propositional encoding time : 0.000
% 6.80/1.33 # Propositional solver time : 0.000
% 6.80/1.33 # Success case prop preproc time : 0.000
% 6.80/1.33 # Success case prop encoding time : 0.000
% 6.80/1.33 # Success case prop solver time : 0.000
% 6.80/1.33 # Current number of processed clauses : 578
% 6.80/1.33 # Positive orientable unit clauses : 17
% 6.80/1.33 # Positive unorientable unit clauses: 0
% 6.80/1.33 # Negative unit clauses : 0
% 6.80/1.33 # Non-unit-clauses : 561
% 6.80/1.33 # Current number of unprocessed clauses: 96045
% 6.80/1.33 # ...number of literals in the above : 303347
% 6.80/1.33 # Current number of archived formulas : 0
% 6.80/1.33 # Current number of archived clauses : 1726
% 6.80/1.33 # Clause-clause subsumption calls (NU) : 271201
% 6.80/1.33 # Rec. Clause-clause subsumption calls : 169114
% 6.80/1.33 # Non-unit clause-clause subsumptions : 12600
% 6.80/1.33 # Unit Clause-clause subsumption calls : 1647
% 6.80/1.33 # Rewrite failures with RHS unbound : 0
% 6.80/1.33 # BW rewrite match attempts : 126
% 6.80/1.33 # BW rewrite match successes : 66
% 6.80/1.33 # Condensation attempts : 0
% 6.80/1.33 # Condensation successes : 0
% 6.80/1.33 # Termbank termtop insertions : 1264366
% 6.80/1.33 # Search garbage collected termcells : 43
% 6.80/1.33
% 6.80/1.33 # -------------------------------------------------
% 6.80/1.33 # User time : 0.791 s
% 6.80/1.33 # System time : 0.034 s
% 6.80/1.33 # Total time : 0.825 s
% 6.80/1.33 # Maximum resident set size: 1652 pages
% 6.80/1.33
% 6.80/1.33 # -------------------------------------------------
% 6.80/1.33 # User time : 4.037 s
% 6.80/1.33 # System time : 0.088 s
% 6.80/1.33 # Total time : 4.125 s
% 6.80/1.33 # Maximum resident set size: 1724 pages
% 6.80/1.33 % E---3.1 exiting
%------------------------------------------------------------------------------