TSTP Solution File: GRP247-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 07:58:07 EDT 2024
% Result : Unsatisfiable 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of clauses : 103 ( 32 unt; 59 nHn; 85 RR)
% Number of literals : 247 ( 246 equ; 90 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',left_identity) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_15) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_1) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_21) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_2) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_16) ).
cnf(prove_this_7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_7) ).
cnf(prove_this_37,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X4) != sk_c9
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(X6) != sk_c9
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_37) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_22) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_6) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_5) ).
cnf(prove_this_8,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_8) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_3) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_4) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_29) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_36) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_35) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.WJPnukAAr7/E---3.1_9214.p',prove_this_30) ).
cnf(c_0_20,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_21,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_22,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_23,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_15 ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_1 ).
cnf(c_0_26,negated_conjecture,
( multiply(inverse(sk_c2),sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_21 ).
cnf(c_0_28,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
prove_this_2 ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_16 ).
cnf(c_0_34,negated_conjecture,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
prove_this_7 ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X4) != sk_c9
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(X6) != sk_c9
| multiply(X6,sk_c8) != sk_c9 ),
inference(fof_simplification,[status(thm)],[prove_this_37]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( multiply(inverse(sk_c2),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_22 ).
cnf(c_0_41,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| inverse(X4) != sk_c9
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(X6) != sk_c9
| multiply(X6,sk_c8) != sk_c9 ),
c_0_37 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_6 ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
prove_this_5 ).
cnf(c_0_44,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_8 ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c9) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_3 ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_4 ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c8,
inference(spm,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c7) != sk_c9
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
multiply(sk_c9,sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
identity = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_51]),c_0_21]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c7) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_25]),c_0_29]) ).
cnf(c_0_56,negated_conjecture,
sk_c7 = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_53]),c_0_21]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c8) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c8) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_43]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(rw,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_49]) ).
cnf(c_0_61,negated_conjecture,
multiply(sk_c1,sk_c9) = sk_c8,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_29]),c_0_25]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
prove_this_29 ).
cnf(c_0_63,negated_conjecture,
multiply(inverse(sk_c1),sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_23,c_0_61]) ).
cnf(c_0_64,plain,
multiply(sk_c8,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_54]),c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c9,sk_c3) = identity
| inverse(sk_c6) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_62]) ).
cnf(c_0_66,plain,
multiply(inverse(X1),X1) = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_54]),c_0_56]) ).
cnf(c_0_67,negated_conjecture,
multiply(inverse(sk_c1),X1) = multiply(sk_c9,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_63]),c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_54]),c_0_56]) ).
cnf(c_0_69,negated_conjecture,
multiply(sk_c9,sk_c1) = sk_c8,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_36 ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c6) = sk_c9 ),
prove_this_35 ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
multiply(inverse(sk_c9),sk_c8) = sk_c1,
inference(spm,[status(thm)],[c_0_23,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( multiply(inverse(sk_c3),sk_c9) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_23,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
prove_this_30 ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c9,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_21,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| sk_c3 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_72]),c_0_73]) ).
cnf(c_0_78,negated_conjecture,
multiply(sk_c1,multiply(sk_c9,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_61]),c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_54]),c_0_56]),c_0_56]) ).
cnf(c_0_81,negated_conjecture,
( sk_c3 = sk_c1
| sk_c6 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_77]),c_0_73]) ).
cnf(c_0_82,negated_conjecture,
multiply(sk_c1,sk_c8) = sk_c1,
inference(spm,[status(thm)],[c_0_78,c_0_69]) ).
cnf(c_0_83,negated_conjecture,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_23,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| sk_c6 = sk_c1
| sk_c1 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( multiply(inverse(sk_c6),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(rw,[status(thm)],[c_0_83,c_0_56]) ).
cnf(c_0_86,negated_conjecture,
( sk_c1 = sk_c9
| sk_c6 = sk_c1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_84]),c_0_73])]) ).
cnf(c_0_87,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_88,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_89,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c1 = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_67])]) ).
cnf(c_0_90,plain,
multiply(X1,inverse(X1)) = sk_c8,
inference(spm,[status(thm)],[c_0_66,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
multiply(inverse(sk_c8),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_78]),c_0_61]) ).
cnf(c_0_92,negated_conjecture,
sk_c1 = sk_c9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_89]),c_0_73])]) ).
cnf(c_0_93,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_90]),c_0_91]) ).
cnf(c_0_94,negated_conjecture,
multiply(sk_c9,multiply(sk_c9,X1)) = X1,
inference(rw,[status(thm)],[c_0_78,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c8) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != sk_c8
| multiply(X6,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| inverse(X4) != sk_c9
| inverse(X5) != sk_c8
| inverse(X6) != sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_56]),c_0_56]),c_0_56]) ).
cnf(c_0_96,plain,
multiply(X1,sk_c8) = X1,
inference(spm,[status(thm)],[c_0_93,c_0_66]) ).
cnf(c_0_97,negated_conjecture,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_90]),c_0_53]) ).
cnf(c_0_98,plain,
inverse(sk_c8) = sk_c8,
inference(spm,[status(thm)],[c_0_64,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c9 ),
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(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96]),c_0_96]),c_0_96]),c_0_96])])])])]),c_0_97]),c_0_98])]) ).
cnf(c_0_100,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c8,
inference(rw,[status(thm)],[c_0_69,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_97])]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_97]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 16:20:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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.WJPnukAAr7/E---3.1_9214.p
% 0.21/0.55 # Version: 3.1.0
% 0.21/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55 # Starting sh5l with 300s (1) cores
% 0.21/0.55 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 9291 completed with status 0
% 0.21/0.55 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55 # No SInE strategy applied
% 0.21/0.55 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.21/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.55 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.55 # Starting sh5l with 136s (1) cores
% 0.21/0.55 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9296 completed with status 0
% 0.21/0.55 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.55 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55 # No SInE strategy applied
% 0.21/0.55 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.21/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.55 # Preprocessing time : 0.001 s
% 0.21/0.55 # Presaturation interreduction done
% 0.21/0.55
% 0.21/0.55 # Proof found!
% 0.21/0.55 # SZS status Unsatisfiable
% 0.21/0.55 # SZS output start CNFRefutation
% See solution above
% 0.21/0.55 # Parsed axioms : 40
% 0.21/0.55 # Removed by relevancy pruning/SinE : 0
% 0.21/0.55 # Initial clauses : 40
% 0.21/0.55 # Removed in clause preprocessing : 0
% 0.21/0.55 # Initial clauses in saturation : 40
% 0.21/0.55 # Processed clauses : 967
% 0.21/0.55 # ...of these trivial : 40
% 0.21/0.55 # ...subsumed : 438
% 0.21/0.55 # ...remaining for further processing : 489
% 0.21/0.55 # Other redundant clauses eliminated : 10
% 0.21/0.55 # Clauses deleted for lack of memory : 0
% 0.21/0.55 # Backward-subsumed : 107
% 0.21/0.55 # Backward-rewritten : 241
% 0.21/0.55 # Generated clauses : 3802
% 0.21/0.55 # ...of the previous two non-redundant : 3042
% 0.21/0.55 # ...aggressively subsumed : 0
% 0.21/0.55 # Contextual simplify-reflections : 9
% 0.21/0.55 # Paramodulations : 3791
% 0.21/0.55 # Factorizations : 1
% 0.21/0.55 # NegExts : 0
% 0.21/0.55 # Equation resolutions : 10
% 0.21/0.55 # Disequality decompositions : 0
% 0.21/0.55 # Total rewrite steps : 2206
% 0.21/0.55 # ...of those cached : 2070
% 0.21/0.55 # Propositional unsat checks : 0
% 0.21/0.55 # Propositional check models : 0
% 0.21/0.55 # Propositional check unsatisfiable : 0
% 0.21/0.55 # Propositional clauses : 0
% 0.21/0.55 # Propositional clauses after purity: 0
% 0.21/0.55 # Propositional unsat core size : 0
% 0.21/0.55 # Propositional preprocessing time : 0.000
% 0.21/0.55 # Propositional encoding time : 0.000
% 0.21/0.55 # Propositional solver time : 0.000
% 0.21/0.55 # Success case prop preproc time : 0.000
% 0.21/0.55 # Success case prop encoding time : 0.000
% 0.21/0.55 # Success case prop solver time : 0.000
% 0.21/0.55 # Current number of processed clauses : 101
% 0.21/0.55 # Positive orientable unit clauses : 18
% 0.21/0.55 # Positive unorientable unit clauses: 0
% 0.21/0.55 # Negative unit clauses : 0
% 0.21/0.55 # Non-unit-clauses : 83
% 0.21/0.55 # Current number of unprocessed clauses: 1515
% 0.21/0.55 # ...number of literals in the above : 6965
% 0.21/0.55 # Current number of archived formulas : 0
% 0.21/0.55 # Current number of archived clauses : 388
% 0.21/0.55 # Clause-clause subsumption calls (NU) : 3102
% 0.21/0.55 # Rec. Clause-clause subsumption calls : 2419
% 0.21/0.55 # Non-unit clause-clause subsumptions : 498
% 0.21/0.55 # Unit Clause-clause subsumption calls : 612
% 0.21/0.55 # Rewrite failures with RHS unbound : 0
% 0.21/0.55 # BW rewrite match attempts : 58
% 0.21/0.55 # BW rewrite match successes : 45
% 0.21/0.55 # Condensation attempts : 0
% 0.21/0.55 # Condensation successes : 0
% 0.21/0.55 # Termbank termtop insertions : 49200
% 0.21/0.55 # Search garbage collected termcells : 35
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.054 s
% 0.21/0.55 # System time : 0.002 s
% 0.21/0.55 # Total time : 0.056 s
% 0.21/0.55 # Maximum resident set size: 1672 pages
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.263 s
% 0.21/0.55 # System time : 0.010 s
% 0.21/0.55 # Total time : 0.273 s
% 0.21/0.55 # Maximum resident set size: 1704 pages
% 0.21/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------