TSTP Solution File: GRP221-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:46:41 EDT 2023
% Result : Unsatisfiable 8.97s 1.57s
% Output : CNFRefutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 34
% Syntax : Number of clauses : 215 ( 21 unt; 183 nHn; 191 RR)
% Number of literals : 496 ( 495 equ; 87 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 73 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',left_identity) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_33) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_10) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_32) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_4) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_9) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_3) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_34) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_8) ).
cnf(prove_this_40,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_40) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_2) ).
cnf(prove_this_49,negated_conjecture,
( inverse(X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,X3) != sk_c9
| inverse(X2) != X3
| multiply(X3,sk_c10) != sk_c9
| multiply(sk_c10,X4) != sk_c9
| multiply(X5,sk_c10) != X4
| inverse(X5) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X6) != sk_c10
| multiply(X6,sk_c9) != sk_c10
| multiply(sk_c10,X7) != sk_c9
| multiply(X8,sk_c10) != X7
| inverse(X8) != sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_49) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_16) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_28) ).
cnf(prove_this_46,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_46) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_31) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_22) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_35) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_36) ).
cnf(prove_this_1,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_1) ).
cnf(prove_this_44,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_44) ).
cnf(prove_this_48,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_48) ).
cnf(prove_this_43,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_43) ).
cnf(prove_this_42,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_42) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_38) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_37) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_41) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_39) ).
cnf(prove_this_47,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_47) ).
cnf(prove_this_45,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_45) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_29) ).
cnf(prove_this_30,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p',prove_this_30) ).
cnf(c_0_34,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_35,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_36,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_37,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_33 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_10 ).
cnf(c_0_40,negated_conjecture,
( multiply(inverse(sk_c6),sk_c10) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c6) = sk_c10 ),
prove_this_32 ).
cnf(c_0_42,negated_conjecture,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_4 ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_9 ).
cnf(c_0_47,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c5
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_3 ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_34 ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c9
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c10
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( multiply(inverse(sk_c6),sk_c10) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
prove_this_8 ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c5 = sk_c8
| sk_c5 = sk_c10 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_40 ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| sk_c5 = sk_c10
| sk_c5 = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
prove_this_2 ).
cnf(c_0_64,negated_conjecture,
( inverse(X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,X3) != sk_c9
| inverse(X2) != X3
| multiply(X3,sk_c10) != sk_c9
| multiply(sk_c10,X4) != sk_c9
| multiply(X5,sk_c10) != X4
| inverse(X5) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X6) != sk_c10
| multiply(X6,sk_c9) != sk_c10
| multiply(sk_c10,X7) != sk_c9
| multiply(X8,sk_c10) != X7
| inverse(X8) != sk_c10 ),
prove_this_49 ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_16 ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_28 ).
cnf(c_0_67,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_46 ).
cnf(c_0_69,negated_conjecture,
( sk_c5 = sk_c10
| sk_c5 = sk_c8
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c10 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X2,sk_c10)) != sk_c9
| multiply(inverse(X3),sk_c10) != sk_c9
| multiply(X3,inverse(X3)) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10
| inverse(X2) != sk_c10
| inverse(X5) != sk_c10 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_64])])]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c9 ),
prove_this_31 ).
cnf(c_0_73,negated_conjecture,
( multiply(inverse(sk_c2),sk_c9) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_22 ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c3,multiply(sk_c10,X1)) = multiply(sk_c9,X1)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c10 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c8 = sk_c10
| sk_c5 = sk_c10 ),
inference(spm,[status(thm)],[c_0_51,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
multiply(sk_c10,sk_c10) = sk_c9,
inference(spm,[status(thm)],[c_0_56,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X2,sk_c10)) != sk_c9
| multiply(inverse(X3),sk_c10) != sk_c9
| multiply(X3,inverse(X3)) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10
| inverse(X2) != sk_c10
| inverse(X5) != sk_c10 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_35 ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
prove_this_36 ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c2,multiply(sk_c3,X1)) = multiply(sk_c9,X1)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_65]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c3,sk_c10) = multiply(sk_c9,sk_c5)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| sk_c5 = sk_c10
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(spm,[status(thm)],[c_0_37,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(inverse(X2),sk_c10) != sk_c9
| multiply(X2,inverse(X2)) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_51]) ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c2,sk_c3) = multiply(sk_c9,sk_c9)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_66,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( sk_c5 = sk_c10
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(inverse(X1),sk_c10) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_80]),c_0_81]),c_0_51]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c1,multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_65,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c9
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c6,inverse(sk_c6)) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c10 ),
inference(spm,[status(thm)],[c_0_91,c_0_40]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_97,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_86,c_0_72]) ).
cnf(c_0_98,negated_conjecture,
( multiply(sk_c1,sk_c9) = multiply(sk_c10,sk_c9)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c9
| sk_c8 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_94]),c_0_78]) ).
cnf(c_0_100,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_37]) ).
cnf(c_0_101,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c6,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c10 ),
inference(spm,[status(thm)],[c_0_95,c_0_41]) ).
cnf(c_0_102,negated_conjecture,
( multiply(sk_c6,sk_c10) = multiply(sk_c10,sk_c9)
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c9
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c9) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c10 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c9
| sk_c8 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_103]),c_0_86])]) ).
cnf(c_0_107,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_104]),c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c8 = sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c10 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c5 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_76]),c_0_35]) ).
cnf(c_0_110,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c9 ),
prove_this_1 ).
cnf(c_0_111,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c6) = sk_c10 ),
prove_this_44 ).
cnf(c_0_112,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_107,c_0_63]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c8 = sk_c10
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_38]),c_0_41]) ).
cnf(c_0_114,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| sk_c5 = identity ),
inference(spm,[status(thm)],[c_0_37,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_80]) ).
cnf(c_0_116,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c7) = sk_c10 ),
prove_this_48 ).
cnf(c_0_117,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c9 ),
prove_this_43 ).
cnf(c_0_118,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c10) = sk_c1 ),
inference(spm,[status(thm)],[c_0_107,c_0_110]) ).
cnf(c_0_119,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_107,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( inverse(sk_c10) = sk_c1
| inverse(sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_107,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c10,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_122,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_35,c_0_110]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c8 = sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_38]),c_0_41]) ).
cnf(c_0_124,negated_conjecture,
( sk_c5 = identity
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_114,c_0_86]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c10 ),
inference(spm,[status(thm)],[c_0_115,c_0_81]) ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_51,c_0_76]) ).
cnf(c_0_127,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_107,c_0_116]) ).
cnf(c_0_128,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
prove_this_42 ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c6) = sk_c10 ),
prove_this_38 ).
cnf(c_0_130,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_107,c_0_117]) ).
cnf(c_0_131,negated_conjecture,
( inverse(sk_c10) = sk_c9
| sk_c1 != sk_c9 ),
inference(ef,[status(thm)],[c_0_118]) ).
cnf(c_0_132,negated_conjecture,
( inverse(sk_c10) = sk_c4
| inverse(sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_107,c_0_119]) ).
cnf(c_0_133,negated_conjecture,
( inverse(sk_c10) = sk_c6
| sk_c1 != sk_c6 ),
inference(ef,[status(thm)],[c_0_120]) ).
cnf(c_0_134,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| multiply(sk_c10,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_34,c_0_121]) ).
cnf(c_0_135,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| multiply(sk_c9,sk_c10) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_122]) ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c10,identity) = sk_c9
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_137,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_125]) ).
cnf(c_0_138,negated_conjecture,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_126]) ).
cnf(c_0_139,negated_conjecture,
( inverse(sk_c10) = sk_c4
| inverse(sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_107,c_0_127]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c9 ),
prove_this_37 ).
cnf(c_0_141,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_107,c_0_128]) ).
cnf(c_0_142,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_107,c_0_81]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_107,c_0_129]) ).
cnf(c_0_144,negated_conjecture,
( inverse(sk_c10) = sk_c9
| sk_c4 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_118]),c_0_131]) ).
cnf(c_0_145,negated_conjecture,
( inverse(sk_c10) = sk_c6
| sk_c4 = sk_c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_120]),c_0_133]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c10,sk_c1) = identity
| sk_c6 = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_104]),c_0_78]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c9,X1) = multiply(sk_c10,X1)
| sk_c8 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_136]),c_0_36]) ).
cnf(c_0_148,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_41 ).
cnf(c_0_149,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c10
| sk_c5 = sk_c8
| sk_c5 = sk_c10 ),
inference(spm,[status(thm)],[c_0_137,c_0_55]) ).
cnf(c_0_150,negated_conjecture,
( sk_c9 = sk_c10
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_138,c_0_86]) ).
cnf(c_0_151,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_86,c_0_130]) ).
cnf(c_0_152,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c7 ),
inference(spm,[status(thm)],[c_0_86,c_0_139]) ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_72,c_0_142]) ).
cnf(c_0_155,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_39 ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_140,c_0_143]) ).
cnf(c_0_157,negated_conjecture,
( sk_c4 = sk_c1
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_158,negated_conjecture,
( inverse(sk_c10) = sk_c1
| sk_c6 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_146]),c_0_104]) ).
cnf(c_0_159,negated_conjecture,
( multiply(sk_c3,sk_c9) = multiply(sk_c9,sk_c5)
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_75,c_0_51]) ).
cnf(c_0_160,negated_conjecture,
( multiply(inverse(sk_c9),multiply(sk_c10,X1)) = X1
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_147]) ).
cnf(c_0_161,negated_conjecture,
( multiply(sk_c10,multiply(sk_c5,X1)) = multiply(sk_c9,X1)
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_123]) ).
cnf(c_0_162,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_148]) ).
cnf(c_0_163,negated_conjecture,
( sk_c5 = sk_c10
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_78])]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_165,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_153]) ).
cnf(c_0_166,negated_conjecture,
( sk_c7 = sk_c9
| sk_c5 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_154]),c_0_86]) ).
cnf(c_0_167,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_37,c_0_155]) ).
cnf(c_0_168,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_107,c_0_41]) ).
cnf(c_0_169,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c5
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_170,negated_conjecture,
( multiply(sk_c1,sk_c10) = identity
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_35,c_0_158]) ).
cnf(c_0_171,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_83,c_0_159]) ).
cnf(c_0_172,negated_conjecture,
( multiply(sk_c5,X1) = X1
| sk_c8 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_37]) ).
cnf(c_0_173,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_174,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_47 ).
cnf(c_0_175,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_164]) ).
cnf(c_0_176,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c10
| sk_c7 = sk_c9 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_177,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_167,c_0_163]) ).
cnf(c_0_178,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_45 ).
cnf(c_0_179,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c6 = sk_c9 ),
inference(spm,[status(thm)],[c_0_72,c_0_168]) ).
cnf(c_0_180,negated_conjecture,
( sk_c6 = sk_c9
| sk_c5 = identity ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_181,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c3
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_171,c_0_147]) ).
cnf(c_0_182,negated_conjecture,
( multiply(sk_c10,X1) = X1
| sk_c8 = sk_c10 ),
inference(spm,[status(thm)],[c_0_172,c_0_90]) ).
cnf(c_0_183,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_78])]) ).
cnf(c_0_184,negated_conjecture,
( sk_c7 = sk_c9
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_185,negated_conjecture,
multiply(sk_c10,multiply(sk_c10,X1)) = multiply(sk_c9,X1),
inference(spm,[status(thm)],[c_0_34,c_0_78]) ).
cnf(c_0_186,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_78])]) ).
cnf(c_0_187,negated_conjecture,
( sk_c6 = sk_c9
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_104]) ).
cnf(c_0_188,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_29 ).
cnf(c_0_189,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c8 = sk_c10
| sk_c5 = sk_c3 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_190,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_191,negated_conjecture,
multiply(sk_c9,sk_c10) = multiply(sk_c10,sk_c9),
inference(spm,[status(thm)],[c_0_185,c_0_78]) ).
cnf(c_0_192,negated_conjecture,
multiply(inverse(sk_c10),multiply(sk_c9,X1)) = multiply(sk_c10,X1),
inference(spm,[status(thm)],[c_0_34,c_0_86]) ).
cnf(c_0_193,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_194,negated_conjecture,
( multiply(inverse(sk_c7),sk_c8) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_188]) ).
cnf(c_0_195,negated_conjecture,
( sk_c5 = sk_c3
| sk_c8 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_189]),c_0_86])]) ).
cnf(c_0_196,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c8
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( multiply(sk_c10,sk_c9) = identity
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_35]) ).
cnf(c_0_198,negated_conjecture,
( multiply(inverse(sk_c10),multiply(sk_c9,X1)) = multiply(sk_c8,X1)
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_34,c_0_138]) ).
cnf(c_0_199,negated_conjecture,
( multiply(inverse(sk_c7),sk_c10) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_194,c_0_150]) ).
cnf(c_0_200,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
prove_this_30 ).
cnf(c_0_201,negated_conjecture,
( sk_c8 = sk_c10
| sk_c3 = identity ),
inference(spm,[status(thm)],[c_0_124,c_0_195]) ).
cnf(c_0_202,negated_conjecture,
( sk_c9 = sk_c10
| sk_c8 = identity ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_203,negated_conjecture,
( multiply(sk_c8,sk_c9) = identity
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_193]),c_0_35]) ).
cnf(c_0_204,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_78])]) ).
cnf(c_0_205,negated_conjecture,
( sk_c9 = sk_c10
| sk_c3 = identity
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_206,negated_conjecture,
( inverse(sk_c8) = sk_c9
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_203]),c_0_104]) ).
cnf(c_0_207,negated_conjecture,
( sk_c10 = identity
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_36])]) ).
cnf(c_0_208,negated_conjecture,
( inverse(sk_c10) = sk_c9
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_206,c_0_150]) ).
cnf(c_0_209,negated_conjecture,
sk_c10 = identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_207]),c_0_35])]) ).
cnf(c_0_210,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_35,c_0_104]) ).
cnf(c_0_211,negated_conjecture,
sk_c9 = identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_209])]) ).
cnf(c_0_212,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_35,c_0_107]) ).
cnf(c_0_213,negated_conjecture,
inverse(X1) != identity,
inference(cn,[status(thm)],[inference(rw,[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(er,[status(thm)],[inference(er,[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_71,c_0_209]),c_0_209]),c_0_104]),c_0_36]),c_0_209]),c_0_209]),c_0_104]),c_0_36]),c_0_209]),c_0_104]),c_0_209]),c_0_209]),c_0_209]),c_0_210]),c_0_209]),c_0_209]),c_0_209]),c_0_209])])]),c_0_211]),c_0_212]),c_0_211]),c_0_211]),c_0_104]),c_0_211]),c_0_104]),c_0_211]),c_0_211]),c_0_210])])])]),c_0_210])]) ).
cnf(c_0_214,plain,
$false,
inference(sr,[status(thm)],[c_0_210,c_0_213]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 02:33:39 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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/tmp/tmp.WpB6EjR5Df/E---3.1_16274.p
% 8.97/1.57 # Version: 3.1pre001
% 8.97/1.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 8.97/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.97/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 8.97/1.57 # Starting new_bool_3 with 300s (1) cores
% 8.97/1.57 # Starting new_bool_1 with 300s (1) cores
% 8.97/1.57 # Starting sh5l with 300s (1) cores
% 8.97/1.57 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 16351 completed with status 0
% 8.97/1.57 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 8.97/1.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 8.97/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.97/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 8.97/1.57 # No SInE strategy applied
% 8.97/1.57 # Search class: FGHPS-FFMM21-SFFFFFNN
% 8.97/1.57 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.97/1.57 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 8.97/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 8.97/1.57 # Starting new_bool_3 with 136s (1) cores
% 8.97/1.57 # Starting new_bool_1 with 136s (1) cores
% 8.97/1.57 # Starting sh5l with 136s (1) cores
% 8.97/1.57 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16355 completed with status 0
% 8.97/1.57 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.97/1.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 8.97/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.97/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 8.97/1.57 # No SInE strategy applied
% 8.97/1.57 # Search class: FGHPS-FFMM21-SFFFFFNN
% 8.97/1.57 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.97/1.57 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 8.97/1.57 # Preprocessing time : 0.001 s
% 8.97/1.57 # Presaturation interreduction done
% 8.97/1.57
% 8.97/1.57 # Proof found!
% 8.97/1.57 # SZS status Unsatisfiable
% 8.97/1.57 # SZS output start CNFRefutation
% See solution above
% 8.97/1.58 # Parsed axioms : 52
% 8.97/1.58 # Removed by relevancy pruning/SinE : 0
% 8.97/1.58 # Initial clauses : 52
% 8.97/1.58 # Removed in clause preprocessing : 0
% 8.97/1.58 # Initial clauses in saturation : 52
% 8.97/1.58 # Processed clauses : 15771
% 8.97/1.58 # ...of these trivial : 713
% 8.97/1.58 # ...subsumed : 12676
% 8.97/1.58 # ...remaining for further processing : 2382
% 8.97/1.58 # Other redundant clauses eliminated : 63
% 8.97/1.58 # Clauses deleted for lack of memory : 0
% 8.97/1.58 # Backward-subsumed : 301
% 8.97/1.58 # Backward-rewritten : 1945
% 8.97/1.58 # Generated clauses : 74478
% 8.97/1.58 # ...of the previous two non-redundant : 71415
% 8.97/1.58 # ...aggressively subsumed : 0
% 8.97/1.58 # Contextual simplify-reflections : 65
% 8.97/1.58 # Paramodulations : 74403
% 8.97/1.58 # Factorizations : 19
% 8.97/1.58 # NegExts : 0
% 8.97/1.58 # Equation resolutions : 63
% 8.97/1.58 # Total rewrite steps : 30345
% 8.97/1.58 # Propositional unsat checks : 0
% 8.97/1.58 # Propositional check models : 0
% 8.97/1.58 # Propositional check unsatisfiable : 0
% 8.97/1.58 # Propositional clauses : 0
% 8.97/1.58 # Propositional clauses after purity: 0
% 8.97/1.58 # Propositional unsat core size : 0
% 8.97/1.58 # Propositional preprocessing time : 0.000
% 8.97/1.58 # Propositional encoding time : 0.000
% 8.97/1.58 # Propositional solver time : 0.000
% 8.97/1.58 # Success case prop preproc time : 0.000
% 8.97/1.58 # Success case prop encoding time : 0.000
% 8.97/1.58 # Success case prop solver time : 0.000
% 8.97/1.58 # Current number of processed clauses : 76
% 8.97/1.58 # Positive orientable unit clauses : 17
% 8.97/1.58 # Positive unorientable unit clauses: 0
% 8.97/1.58 # Negative unit clauses : 1
% 8.97/1.58 # Non-unit-clauses : 58
% 8.97/1.58 # Current number of unprocessed clauses: 7452
% 8.97/1.58 # ...number of literals in the above : 75729
% 8.97/1.58 # Current number of archived formulas : 0
% 8.97/1.58 # Current number of archived clauses : 2299
% 8.97/1.58 # Clause-clause subsumption calls (NU) : 271757
% 8.97/1.58 # Rec. Clause-clause subsumption calls : 101251
% 8.97/1.58 # Non-unit clause-clause subsumptions : 13018
% 8.97/1.58 # Unit Clause-clause subsumption calls : 1021
% 8.97/1.58 # Rewrite failures with RHS unbound : 0
% 8.97/1.58 # BW rewrite match attempts : 27
% 8.97/1.58 # BW rewrite match successes : 26
% 8.97/1.58 # Condensation attempts : 0
% 8.97/1.58 # Condensation successes : 0
% 8.97/1.58 # Termbank termtop insertions : 831998
% 8.97/1.58
% 8.97/1.58 # -------------------------------------------------
% 8.97/1.58 # User time : 1.082 s
% 8.97/1.58 # System time : 0.030 s
% 8.97/1.58 # Total time : 1.112 s
% 8.97/1.58 # Maximum resident set size: 1672 pages
% 8.97/1.58
% 8.97/1.58 # -------------------------------------------------
% 8.97/1.58 # User time : 5.454 s
% 8.97/1.58 # System time : 0.077 s
% 8.97/1.58 # Total time : 5.532 s
% 8.97/1.58 # Maximum resident set size: 1728 pages
% 8.97/1.58 % E---3.1 exiting
%------------------------------------------------------------------------------