TSTP Solution File: GRP330-1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP330-1 : TPTP v8.1.2. 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 : Sat May 4 07:50:43 EDT 2024
% Result : Unsatisfiable 2.86s 0.87s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 31
% Syntax : Number of clauses : 196 ( 23 unt; 162 nHn; 169 RR)
% Number of literals : 487 ( 486 equ; 120 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 : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',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/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_5) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_3) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_6) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.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/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.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/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_1) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_38) ).
cnf(prove_this_48,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_48) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_2) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_18) ).
cnf(prove_this_28,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_28) ).
cnf(prove_this_51,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X2) != sk_c9
| 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/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_51) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_39) ).
cnf(prove_this_49,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_49) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_19) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_29) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_26) ).
cnf(prove_this_25,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_25) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_15) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_16) ).
cnf(prove_this_42,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_42) ).
cnf(prove_this_41,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_41) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_32) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_31) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_24) ).
cnf(prove_this_23,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_23) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_14) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p',prove_this_13) ).
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
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_3 ).
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
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_7 ).
cnf(c_0_40,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_36]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
prove_this_4 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c11,X1)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_43,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_44,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_39]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_47,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_1 ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,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_44,c_0_45]) ).
cnf(c_0_51,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,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_48]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_55,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_51]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c6 ),
prove_this_38 ).
cnf(c_0_57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c7) = sk_c6 ),
prove_this_48 ).
cnf(c_0_58,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_48]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
prove_this_2 ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
prove_this_18 ).
cnf(c_0_61,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c6 ),
prove_this_28 ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X2) != sk_c9
| 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_63,negated_conjecture,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,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_52,c_0_54]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c8 ),
prove_this_39 ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( multiply(inverse(sk_c6),identity) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c8 ),
prove_this_49 ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
prove_this_19 ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_55,c_0_60]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(sk_c6),identity) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_46,c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c8 ),
prove_this_29 ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c10,sk_c11) != sk_c9
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X2) != sk_c9
| 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_62 ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c10,sk_c9) = multiply(sk_c10,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,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_52,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,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_c9
| inverse(X6) != sk_c10 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_74])]) ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_75]),c_0_34]) ).
cnf(c_0_83,negated_conjecture,
( multiply(inverse(sk_c2),sk_c10) = sk_c9
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( inverse(sk_c2) = sk_c9
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[c_0_77,c_0_51]) ).
cnf(c_0_85,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_78,c_0_64]) ).
cnf(c_0_86,negated_conjecture,
( multiply(inverse(sk_c1),sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_34,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( inverse(sk_c1) = sk_c10
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[c_0_80,c_0_51]) ).
cnf(c_0_88,negated_conjecture,
( sk_c9 = 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_c9
| inverse(X6) != sk_c10 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c9
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,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_85]),c_0_34]) ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( sk_c9 = 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_c9
| inverse(X5) != sk_c10
| identity != sk_c9 ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_55])]),c_0_32]) ).
cnf(c_0_93,negated_conjecture,
( sk_c7 = sk_c8
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_89]),c_0_32]) ).
cnf(c_0_94,negated_conjecture,
( sk_c7 = sk_c8
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( sk_c7 = sk_c8
| sk_c9 = 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_c9
| inverse(X5) != sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( sk_c9 = sk_c11
| sk_c7 = sk_c8
| 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_c9
| inverse(X4) != sk_c10 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_55])]),c_0_32]),c_0_93]) ).
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,
( sk_c7 = sk_c8
| sk_c9 = 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_c10 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_55])]),c_0_32]),c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( sk_c7 = sk_c8
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_91]),c_0_32]) ).
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,
( sk_c9 = sk_c11
| sk_c7 = sk_c8
| 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(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_55])]),c_0_32]),c_0_99]) ).
cnf(c_0_102,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_32,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( sk_c11 = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_99,c_0_93]) ).
cnf(c_0_104,negated_conjecture,
( sk_c7 = sk_c8
| sk_c9 = sk_c11
| inverse(X1) != identity
| inverse(X1) != X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_51]),c_0_33]),c_0_51]),c_0_33]),c_0_99]),c_0_103]) ).
cnf(c_0_105,negated_conjecture,
( multiply(sk_c6,multiply(sk_c7,X1)) = X1
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_61]) ).
cnf(c_0_106,negated_conjecture,
( sk_c9 = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_104,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
prove_this_26 ).
cnf(c_0_108,negated_conjecture,
( multiply(sk_c6,multiply(sk_c8,X1)) = X1
| inverse(sk_c1) = sk_c10
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c8,multiply(sk_c5,X1)) = X1
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( multiply(sk_c6,sk_c7) = identity
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_111,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_25 ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c5,X1) = multiply(sk_c6,X1)
| inverse(sk_c1) = sk_c10
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c6,sk_c7) = identity
| multiply(sk_c10,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
( multiply(sk_c5,X1) = multiply(sk_c6,X1)
| multiply(sk_c10,sk_c1) = identity
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_32,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_15 ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| multiply(sk_c6,sk_c8) = identity
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_113,c_0_106]) ).
cnf(c_0_118,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| multiply(sk_c6,sk_c8) = sk_c11
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,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_116]) ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| sk_c9 = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,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_119]) ).
cnf(c_0_122,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_16 ).
cnf(c_0_123,negated_conjecture,
( inverse(sk_c10) = sk_c1
| identity = sk_c11
| sk_c9 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_120]),c_0_51]) ).
cnf(c_0_124,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_32]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c1,sk_c10) = identity
| sk_c9 = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_32,c_0_123]) ).
cnf(c_0_126,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c3) = sk_c11 ),
prove_this_42 ).
cnf(c_0_127,negated_conjecture,
( sk_c9 = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_55,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_41 ).
cnf(c_0_130,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
prove_this_32 ).
cnf(c_0_131,negated_conjecture,
( multiply(X1,sk_c11) = X1
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_51,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( inverse(sk_c11) = sk_c3
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_55,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c9,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_55,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
( inverse(sk_c11) = identity
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_32,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_32,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( multiply(sk_c9,sk_c2) = identity
| sk_c9 = sk_c11
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_133,c_0_131]) ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| sk_c9 = sk_c11
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c2,sk_c9) = identity
| sk_c9 = sk_c11
| identity = sk_c3 ),
inference(spm,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_31 ).
cnf(c_0_141,negated_conjecture,
( inverse(sk_c9) = sk_c2
| sk_c3 = sk_c10
| sk_c9 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_137]),c_0_51]) ).
cnf(c_0_142,negated_conjecture,
( identity = sk_c3
| sk_c9 = sk_c11
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| sk_c9 = sk_c11
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_140,c_0_131]) ).
cnf(c_0_144,negated_conjecture,
( multiply(sk_c2,sk_c9) = identity
| sk_c9 = sk_c11
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_32,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( identity = sk_c10
| sk_c9 = sk_c11
| sk_c3 != sk_c10 ),
inference(ef,[status(thm)],[c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( sk_c9 = sk_c11
| identity = sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_147,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c11
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_34,c_0_82]) ).
cnf(c_0_148,negated_conjecture,
( inverse(sk_c10) = sk_c10
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_102,c_0_146]) ).
cnf(c_0_149,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_150,negated_conjecture,
( multiply(sk_c10,X1) = X1
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_33,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_55,c_0_136]) ).
cnf(c_0_152,negated_conjecture,
sk_c9 = sk_c11,
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_130]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| inverse(sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| multiply(sk_c2,sk_c11) = sk_c10 ),
inference(rw,[status(thm)],[c_0_153,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_55,c_0_129]) ).
cnf(c_0_158,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c3 ),
inference(rw,[status(thm)],[c_0_134,c_0_152]) ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c2 ),
inference(rw,[status(thm)],[c_0_157,c_0_152]) ).
cnf(c_0_161,negated_conjecture,
( inverse(sk_c11) = sk_c3
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_158]),c_0_51]) ).
cnf(c_0_162,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(rw,[status(thm)],[c_0_140,c_0_152]) ).
cnf(c_0_163,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( multiply(sk_c3,sk_c11) = identity
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_32,c_0_161]) ).
cnf(c_0_166,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_24 ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_169,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_55,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_23 ).
cnf(c_0_171,negated_conjecture,
identity = sk_c10,
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_172,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
prove_this_14 ).
cnf(c_0_173,negated_conjecture,
( inverse(sk_c10) = sk_c4
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c10 ),
inference(rw,[status(thm)],[c_0_170,c_0_152]) ).
cnf(c_0_175,plain,
multiply(X1,sk_c10) = X1,
inference(rw,[status(thm)],[c_0_51,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_13 ).
cnf(c_0_177,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_55,c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( inverse(sk_c10) = sk_c1
| sk_c4 != sk_c1 ),
inference(ef,[status(thm)],[c_0_173]) ).
cnf(c_0_179,plain,
inverse(sk_c10) = sk_c10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_171]),c_0_171]) ).
cnf(c_0_180,negated_conjecture,
( inverse(sk_c1) = sk_c10
| sk_c4 = sk_c11 ),
inference(rw,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c11 ),
inference(rw,[status(thm)],[c_0_176,c_0_152]) ).
cnf(c_0_182,negated_conjecture,
( inverse(sk_c10) = sk_c4
| sk_c1 = sk_c11 ),
inference(rw,[status(thm)],[c_0_177,c_0_175]) ).
cnf(c_0_183,negated_conjecture,
( sk_c1 = sk_c10
| sk_c4 != sk_c1 ),
inference(rw,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_184,negated_conjecture,
( sk_c4 = sk_c11
| sk_c1 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_180]),c_0_179]) ).
cnf(c_0_185,negated_conjecture,
( sk_c4 = sk_c11
| sk_c1 = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_175]),c_0_175]) ).
cnf(c_0_186,negated_conjecture,
( sk_c1 = sk_c11
| sk_c4 = sk_c10 ),
inference(spm,[status(thm)],[c_0_179,c_0_182]) ).
cnf(c_0_187,negated_conjecture,
( sk_c1 = sk_c10
| sk_c1 != sk_c11 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
( sk_c1 = sk_c11
| sk_c11 = sk_c10 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_189,plain,
multiply(inverse(X1),X1) = sk_c10,
inference(rw,[status(thm)],[c_0_32,c_0_171]) ).
cnf(c_0_190,negated_conjecture,
sk_c11 = sk_c10,
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,plain,
multiply(sk_c10,X1) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_171]) ).
cnf(c_0_192,plain,
multiply(X1,inverse(X1)) = sk_c10,
inference(spm,[status(thm)],[c_0_189,c_0_55]) ).
cnf(c_0_193,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(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_81,c_0_152]),c_0_152]),c_0_152]),c_0_152]),c_0_175]),c_0_190]),c_0_191]),c_0_190]),c_0_190]),c_0_192]),c_0_190]),c_0_175]),c_0_190]),c_0_190]),c_0_175]),c_0_190]),c_0_175]),c_0_175]),c_0_190]),c_0_190]),c_0_190])])])])])]),c_0_179])]) ).
cnf(c_0_194,negated_conjecture,
( inverse(X1) != sk_c10
| inverse(X1) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_179]),c_0_175]),c_0_175]) ).
cnf(c_0_195,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_194,c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP330-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:21:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.O417QgFbZ8/E---3.1_16314.p
% 2.86/0.87 # Version: 3.1.0
% 2.86/0.87 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.86/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.86/0.87 # Starting new_bool_3 with 300s (1) cores
% 2.86/0.87 # Starting new_bool_1 with 300s (1) cores
% 2.86/0.87 # Starting sh5l with 300s (1) cores
% 2.86/0.87 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 16481 completed with status 0
% 2.86/0.87 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 2.86/0.87 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.86/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.86/0.87 # No SInE strategy applied
% 2.86/0.87 # Search class: FGHPS-FFMM21-SFFFFFNN
% 2.86/0.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.86/0.87 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.86/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 2.86/0.87 # Starting new_bool_3 with 136s (1) cores
% 2.86/0.87 # Starting new_bool_1 with 136s (1) cores
% 2.86/0.87 # Starting sh5l with 136s (1) cores
% 2.86/0.87 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 16486 completed with status 0
% 2.86/0.87 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 2.86/0.87 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.86/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.86/0.87 # No SInE strategy applied
% 2.86/0.87 # Search class: FGHPS-FFMM21-SFFFFFNN
% 2.86/0.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.86/0.87 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.86/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 2.86/0.87 # Preprocessing time : 0.002 s
% 2.86/0.87 # Presaturation interreduction done
% 2.86/0.87
% 2.86/0.87 # Proof found!
% 2.86/0.87 # SZS status Unsatisfiable
% 2.86/0.87 # SZS output start CNFRefutation
% See solution above
% 2.86/0.87 # Parsed axioms : 54
% 2.86/0.87 # Removed by relevancy pruning/SinE : 0
% 2.86/0.87 # Initial clauses : 54
% 2.86/0.87 # Removed in clause preprocessing : 0
% 2.86/0.87 # Initial clauses in saturation : 54
% 2.86/0.87 # Processed clauses : 5575
% 2.86/0.87 # ...of these trivial : 107
% 2.86/0.87 # ...subsumed : 3855
% 2.86/0.87 # ...remaining for further processing : 1613
% 2.86/0.87 # Other redundant clauses eliminated : 30
% 2.86/0.87 # Clauses deleted for lack of memory : 0
% 2.86/0.87 # Backward-subsumed : 185
% 2.86/0.87 # Backward-rewritten : 1138
% 2.86/0.87 # Generated clauses : 26738
% 2.86/0.87 # ...of the previous two non-redundant : 26785
% 2.86/0.87 # ...aggressively subsumed : 0
% 2.86/0.87 # Contextual simplify-reflections : 24
% 2.86/0.87 # Paramodulations : 26703
% 2.86/0.87 # Factorizations : 9
% 2.86/0.87 # NegExts : 0
% 2.86/0.87 # Equation resolutions : 30
% 2.86/0.87 # Disequality decompositions : 0
% 2.86/0.87 # Total rewrite steps : 6164
% 2.86/0.87 # ...of those cached : 5874
% 2.86/0.87 # Propositional unsat checks : 0
% 2.86/0.87 # Propositional check models : 0
% 2.86/0.87 # Propositional check unsatisfiable : 0
% 2.86/0.87 # Propositional clauses : 0
% 2.86/0.87 # Propositional clauses after purity: 0
% 2.86/0.87 # Propositional unsat core size : 0
% 2.86/0.87 # Propositional preprocessing time : 0.000
% 2.86/0.87 # Propositional encoding time : 0.000
% 2.86/0.87 # Propositional solver time : 0.000
% 2.86/0.87 # Success case prop preproc time : 0.000
% 2.86/0.87 # Success case prop encoding time : 0.000
% 2.86/0.87 # Success case prop solver time : 0.000
% 2.86/0.87 # Current number of processed clauses : 230
% 2.86/0.87 # Positive orientable unit clauses : 12
% 2.86/0.87 # Positive unorientable unit clauses: 0
% 2.86/0.87 # Negative unit clauses : 0
% 2.86/0.87 # Non-unit-clauses : 218
% 2.86/0.87 # Current number of unprocessed clauses: 20246
% 2.86/0.87 # ...number of literals in the above : 97329
% 2.86/0.87 # Current number of archived formulas : 0
% 2.86/0.87 # Current number of archived clauses : 1377
% 2.86/0.87 # Clause-clause subsumption calls (NU) : 88392
% 2.86/0.87 # Rec. Clause-clause subsumption calls : 43576
% 2.86/0.87 # Non-unit clause-clause subsumptions : 4050
% 2.86/0.87 # Unit Clause-clause subsumption calls : 856
% 2.86/0.87 # Rewrite failures with RHS unbound : 0
% 2.86/0.87 # BW rewrite match attempts : 46
% 2.86/0.87 # BW rewrite match successes : 42
% 2.86/0.87 # Condensation attempts : 0
% 2.86/0.87 # Condensation successes : 0
% 2.86/0.87 # Termbank termtop insertions : 367228
% 2.86/0.87 # Search garbage collected termcells : 43
% 2.86/0.87
% 2.86/0.87 # -------------------------------------------------
% 2.86/0.87 # User time : 0.336 s
% 2.86/0.87 # System time : 0.005 s
% 2.86/0.87 # Total time : 0.341 s
% 2.86/0.87 # Maximum resident set size: 1672 pages
% 2.86/0.87
% 2.86/0.87 # -------------------------------------------------
% 2.86/0.87 # User time : 1.696 s
% 2.86/0.87 # System time : 0.023 s
% 2.86/0.87 # Total time : 1.720 s
% 2.86/0.87 # Maximum resident set size: 1752 pages
% 2.86/0.87 % E---3.1 exiting
% 2.86/0.88 % E exiting
%------------------------------------------------------------------------------