TSTP Solution File: GRP248-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 17:39:25 EDT 2023
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of clauses : 103 ( 26 unt; 62 nHn; 88 RR)
% Number of literals : 268 ( 267 equ; 110 neg)
% Maximal clause size : 13 ( 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',left_identity) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_5) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_6) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_13) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_12) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_24) ).
cnf(prove_this_25,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_25) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_18) ).
cnf(prove_this_43,negated_conjecture,
( multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| multiply(X3,sk_c8) != sk_c10
| inverse(X4) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X5) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,X7) != sk_c9
| inverse(X6) != X7
| multiply(X7,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_43) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_17) ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_31) ).
cnf(prove_this_32,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_32) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_29) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_30) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_37) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p',prove_this_36) ).
cnf(c_0_18,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_19,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_20,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_21,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
prove_this_5 ).
cnf(c_0_23,negated_conjecture,
( multiply(inverse(sk_c6),sk_c9) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(inverse(inverse(sk_c6)),sk_c7) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
prove_this_6 ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c10
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
prove_this_13 ).
cnf(c_0_29,negated_conjecture,
( multiply(inverse(inverse(sk_c1)),sk_c10) = sk_c9
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| inverse(sk_c1) = sk_c10 ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_31,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c7,sk_c6) = identity
| identity = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_19])]) ).
cnf(c_0_34,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
prove_this_12 ).
cnf(c_0_35,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( multiply(inverse(sk_c7),identity) = sk_c6
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| identity = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_19])]) ).
cnf(c_0_38,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_35]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( inverse(sk_c7) = sk_c6
| identity = sk_c9 ),
inference(rw,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_40,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( multiply(inverse(sk_c6),sk_c9) = sk_c7
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( inverse(sk_c6) = sk_c7
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
prove_this_24 ).
cnf(c_0_44,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c7
| identity = sk_c9 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c9) = sk_c5 ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_47,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_19,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
identity = sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_45]),c_0_19])]) ).
cnf(c_0_49,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_25 ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c9) = sk_c5
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_51,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( inverse(sk_c9) = sk_c5
| sk_c2 = sk_c9 ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_18 ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c2 = sk_c9 ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( sk_c2 = sk_c9
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| multiply(X3,sk_c8) != sk_c10
| inverse(X4) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X5) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,X7) != sk_c9
| inverse(X6) != X7
| multiply(X7,sk_c8) != sk_c9 ),
prove_this_43 ).
cnf(c_0_58,negated_conjecture,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_21,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
prove_this_17 ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| sk_c2 = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c8) != sk_c10
| multiply(X5,sk_c9) != sk_c8
| multiply(X6,sk_c10) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c9
| inverse(X6) != sk_c10 ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c5) = sk_c9 ),
prove_this_31 ).
cnf(c_0_63,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_32 ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( sk_c2 = sk_c9
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_60]),c_0_19]),c_0_48]) ).
cnf(c_0_66,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c8) != sk_c10
| multiply(X4,sk_c9) != sk_c8
| multiply(X5,sk_c10) != sk_c9
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(X5) != sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_29 ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
prove_this_30 ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c8) != sk_c10
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c10) != sk_c9
| inverse(X2) != sk_c10
| inverse(X3) != sk_c9
| inverse(X4) != sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_69]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(sk_c4,sk_c8) != sk_c10
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10 ),
inference(spm,[status(thm)],[c_0_70,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
sk_c8 = sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_71]),c_0_19]),c_0_48])]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
prove_this_37 ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c9) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c9
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]),c_0_73]),c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_36 ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c9) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| inverse(X2) != sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_38])]),c_0_19]),c_0_48])]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(inverse(X1),sk_c9) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38])]),c_0_19]),c_0_48])]) ).
cnf(c_0_81,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c8
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c9,sk_c9) != sk_c9 ),
inference(spm,[status(thm)],[c_0_80,c_0_51]) ).
cnf(c_0_83,plain,
multiply(X1,sk_c9) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_48]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c8 ),
inference(spm,[status(thm)],[c_0_81,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
inverse(sk_c3) = sk_c10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_87,negated_conjecture,
( multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c8) != sk_c10
| multiply(X4,sk_c9) != sk_c8
| multiply(X5,sk_c10) != sk_c9
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(X5) != sk_c10
| sk_c8 != sk_c9
| identity != sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_20]) ).
cnf(c_0_88,negated_conjecture,
( inverse(sk_c10) = sk_c4
| sk_c3 = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_73]),c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c9
| sk_c4 = sk_c10 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_73])]),c_0_83]) ).
cnf(c_0_90,negated_conjecture,
inverse(sk_c10) = sk_c3,
inference(spm,[status(thm)],[c_0_38,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c8) != sk_c10
| multiply(X4,sk_c9) != sk_c8
| multiply(X5,sk_c10) != sk_c9
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(X5) != sk_c10
| sk_c8 != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_48])]) ).
cnf(c_0_92,negated_conjecture,
( inverse(sk_c4) = sk_c10
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_38,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( sk_c4 = sk_c10
| sk_c3 = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_89]),c_0_83]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c10
| sk_c3 != sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_73]),c_0_73]),c_0_73]),c_0_73])]),c_0_83]),c_0_83]),c_0_83]),c_0_83])])])]),c_0_90]),c_0_51])]) ).
cnf(c_0_95,negated_conjecture,
sk_c3 = sk_c10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_90])]) ).
cnf(c_0_96,negated_conjecture,
multiply(sk_c10,multiply(sk_c3,X1)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
( multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| inverse(X1) != sk_c9
| inverse(X2) != sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_98,negated_conjecture,
multiply(sk_c10,sk_c3) = sk_c9,
inference(spm,[status(thm)],[c_0_96,c_0_83]) ).
cnf(c_0_99,negated_conjecture,
( multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_51]),c_0_83])]) ).
cnf(c_0_100,negated_conjecture,
inverse(sk_c10) = sk_c10,
inference(rw,[status(thm)],[c_0_90,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
multiply(sk_c10,sk_c10) = sk_c9,
inference(rw,[status(thm)],[c_0_98,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 02:30:51 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zZFzzvS1WK/E---3.1_14143.p
% 0.17/0.55 # Version: 3.1pre001
% 0.17/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.55 # Starting sh5l with 300s (1) cores
% 0.17/0.55 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 14241 completed with status 0
% 0.17/0.55 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.55 # No SInE strategy applied
% 0.17/0.55 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.17/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.17/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.55 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.55 # Starting sh5l with 136s (1) cores
% 0.17/0.55 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 14253 completed with status 0
% 0.17/0.55 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.55 # No SInE strategy applied
% 0.17/0.55 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.17/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.17/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.55 # Preprocessing time : 0.001 s
% 0.17/0.55 # Presaturation interreduction done
% 0.17/0.55
% 0.17/0.55 # Proof found!
% 0.17/0.55 # SZS status Unsatisfiable
% 0.17/0.55 # SZS output start CNFRefutation
% See solution above
% 0.17/0.55 # Parsed axioms : 46
% 0.17/0.55 # Removed by relevancy pruning/SinE : 0
% 0.17/0.55 # Initial clauses : 46
% 0.17/0.55 # Removed in clause preprocessing : 0
% 0.17/0.55 # Initial clauses in saturation : 46
% 0.17/0.55 # Processed clauses : 1880
% 0.17/0.55 # ...of these trivial : 38
% 0.17/0.55 # ...subsumed : 1116
% 0.17/0.55 # ...remaining for further processing : 726
% 0.17/0.55 # Other redundant clauses eliminated : 56
% 0.17/0.55 # Clauses deleted for lack of memory : 0
% 0.17/0.55 # Backward-subsumed : 32
% 0.17/0.55 # Backward-rewritten : 543
% 0.17/0.55 # Generated clauses : 4703
% 0.17/0.55 # ...of the previous two non-redundant : 4724
% 0.17/0.55 # ...aggressively subsumed : 0
% 0.17/0.55 # Contextual simplify-reflections : 16
% 0.17/0.55 # Paramodulations : 4662
% 0.17/0.55 # Factorizations : 5
% 0.17/0.55 # NegExts : 0
% 0.17/0.55 # Equation resolutions : 56
% 0.17/0.55 # Total rewrite steps : 2217
% 0.17/0.55 # Propositional unsat checks : 0
% 0.17/0.55 # Propositional check models : 0
% 0.17/0.55 # Propositional check unsatisfiable : 0
% 0.17/0.55 # Propositional clauses : 0
% 0.17/0.55 # Propositional clauses after purity: 0
% 0.17/0.55 # Propositional unsat core size : 0
% 0.17/0.55 # Propositional preprocessing time : 0.000
% 0.17/0.55 # Propositional encoding time : 0.000
% 0.17/0.55 # Propositional solver time : 0.000
% 0.17/0.55 # Success case prop preproc time : 0.000
% 0.17/0.55 # Success case prop encoding time : 0.000
% 0.17/0.55 # Success case prop solver time : 0.000
% 0.17/0.55 # Current number of processed clauses : 87
% 0.17/0.55 # Positive orientable unit clauses : 14
% 0.17/0.55 # Positive unorientable unit clauses: 0
% 0.17/0.55 # Negative unit clauses : 0
% 0.17/0.55 # Non-unit-clauses : 73
% 0.17/0.55 # Current number of unprocessed clauses: 2366
% 0.17/0.55 # ...number of literals in the above : 10600
% 0.17/0.55 # Current number of archived formulas : 0
% 0.17/0.55 # Current number of archived clauses : 621
% 0.17/0.55 # Clause-clause subsumption calls (NU) : 16252
% 0.17/0.55 # Rec. Clause-clause subsumption calls : 6635
% 0.17/0.55 # Non-unit clause-clause subsumptions : 1152
% 0.17/0.55 # Unit Clause-clause subsumption calls : 874
% 0.17/0.55 # Rewrite failures with RHS unbound : 0
% 0.17/0.55 # BW rewrite match attempts : 64
% 0.17/0.55 # BW rewrite match successes : 45
% 0.17/0.55 # Condensation attempts : 0
% 0.17/0.55 # Condensation successes : 0
% 0.17/0.55 # Termbank termtop insertions : 74304
% 0.17/0.55
% 0.17/0.55 # -------------------------------------------------
% 0.17/0.55 # User time : 0.116 s
% 0.17/0.55 # System time : 0.003 s
% 0.17/0.56 # Total time : 0.119 s
% 0.17/0.56 # Maximum resident set size: 1612 pages
% 0.17/0.56
% 0.17/0.56 # -------------------------------------------------
% 0.17/0.56 # User time : 0.585 s
% 0.17/0.56 # System time : 0.010 s
% 0.17/0.56 # Total time : 0.595 s
% 0.17/0.56 # Maximum resident set size: 1688 pages
% 0.17/0.56 % E---3.1 exiting
% 0.17/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------