TSTP Solution File: GRP101-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n026.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 : Thu Aug 31 01:21:24 EDT 2023
% Result : Unsatisfiable 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 9
% Syntax : Number of formulae : 142 ( 123 unt; 0 def)
% Number of atoms : 165 ( 135 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 17 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 186 (; 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2001,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f1952,f1994,f1998,f2000]) ).
fof(f2000,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f1999,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f18,f954]) ).
fof(f954,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f953,f22]) ).
fof(f22,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018',inverse) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018',multiply) ).
fof(f953,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f942,f3]) ).
fof(f942,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(superposition,[],[f931,f3]) ).
fof(f931,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f902,f857]) ).
fof(f857,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(identity,double_divide(X0,X1)),
inference(backward_demodulation,[],[f25,f856]) ).
fof(f856,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f578,f838]) ).
fof(f838,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[],[f837,f822]) ).
fof(f822,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
inference(forward_demodulation,[],[f815,f6]) ).
fof(f815,plain,
! [X0] : multiply(identity,X0) = multiply(identity,inverse(double_divide(identity,X0))),
inference(superposition,[],[f614,f569]) ).
fof(f569,plain,
! [X3] : identity = multiply(X3,multiply(identity,inverse(X3))),
inference(backward_demodulation,[],[f524,f563]) ).
fof(f563,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[],[f562,f22]) ).
fof(f562,plain,
! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f561,f26]) ).
fof(f26,plain,
! [X2] : multiply(identity,inverse(X2)) = inverse(multiply(identity,X2)),
inference(superposition,[],[f22,f22]) ).
fof(f561,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(forward_demodulation,[],[f531,f3]) ).
fof(f531,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),identity) = X0,
inference(backward_demodulation,[],[f196,f519]) ).
fof(f519,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f518,f3]) ).
fof(f518,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f506,f196]) ).
fof(f506,plain,
double_divide(identity,identity) = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(superposition,[],[f201,f399]) ).
fof(f399,plain,
inverse(identity) = multiply(identity,identity),
inference(forward_demodulation,[],[f398,f3]) ).
fof(f398,plain,
double_divide(identity,identity) = multiply(identity,identity),
inference(forward_demodulation,[],[f397,f22]) ).
fof(f397,plain,
double_divide(identity,identity) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f396,f3]) ).
fof(f396,plain,
double_divide(identity,identity) = double_divide(inverse(identity),identity),
inference(forward_demodulation,[],[f373,f201]) ).
fof(f373,plain,
double_divide(inverse(identity),identity) = double_divide(multiply(identity,multiply(identity,identity)),inverse(identity)),
inference(superposition,[],[f201,f348]) ).
fof(f348,plain,
multiply(identity,identity) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[],[f347,f22]) ).
fof(f347,plain,
inverse(inverse(identity)) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[],[f339,f3]) ).
fof(f339,plain,
multiply(identity,inverse(identity)) = double_divide(inverse(identity),identity),
inference(superposition,[],[f276,f303]) ).
fof(f303,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f295,f3]) ).
fof(f295,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f259,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018',identity) ).
fof(f259,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f148,f4]) ).
fof(f148,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,inverse(X0)),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f21,f3]) ).
fof(f21,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f20,f3]) ).
fof(f20,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018',single_axiom) ).
fof(f276,plain,
! [X4,X5] : multiply(identity,inverse(X5)) = double_divide(inverse(X4),double_divide(inverse(X5),inverse(X4))),
inference(backward_demodulation,[],[f261,f263]) ).
fof(f263,plain,
! [X8] : multiply(identity,inverse(X8)) = double_divide(double_divide(identity,double_divide(X8,inverse(identity))),inverse(identity)),
inference(superposition,[],[f148,f196]) ).
fof(f261,plain,
! [X4,X5] : double_divide(inverse(X4),double_divide(inverse(X5),inverse(X4))) = double_divide(double_divide(identity,double_divide(X5,inverse(identity))),inverse(identity)),
inference(superposition,[],[f148,f163]) ).
fof(f163,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(inverse(X3),inverse(X2))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f149,f3]) ).
fof(f149,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(X3,identity),inverse(X2))),inverse(identity)) = X3,
inference(superposition,[],[f21,f4]) ).
fof(f201,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(multiply(identity,multiply(X1,X0)),inverse(identity)),
inference(superposition,[],[f196,f6]) ).
fof(f196,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f195,f22]) ).
fof(f195,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f186,f3]) ).
fof(f186,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(superposition,[],[f163,f4]) ).
fof(f524,plain,
! [X3] : identity = multiply(multiply(identity,multiply(identity,X3)),multiply(identity,inverse(X3))),
inference(backward_demodulation,[],[f51,f519]) ).
fof(f51,plain,
! [X3] : inverse(identity) = multiply(multiply(identity,multiply(identity,X3)),multiply(identity,inverse(X3))),
inference(superposition,[],[f29,f26]) ).
fof(f29,plain,
! [X2] : inverse(identity) = multiply(multiply(identity,X2),inverse(X2)),
inference(superposition,[],[f23,f22]) ).
fof(f23,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f6,f4]) ).
fof(f614,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),X1),X0) = X1,
inference(forward_demodulation,[],[f613,f6]) ).
fof(f613,plain,
! [X0,X1] : multiply(inverse(double_divide(X1,double_divide(identity,X0))),X0) = X1,
inference(forward_demodulation,[],[f612,f3]) ).
fof(f612,plain,
! [X0,X1] : multiply(double_divide(double_divide(X1,double_divide(identity,X0)),identity),X0) = X1,
inference(forward_demodulation,[],[f611,f6]) ).
fof(f611,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(identity,X0)),identity))) = X1,
inference(forward_demodulation,[],[f552,f3]) ).
fof(f552,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(identity,X0)),identity)),identity) = X1,
inference(backward_demodulation,[],[f517,f519]) ).
fof(f517,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(identity),X0)),inverse(identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f504,f3]) ).
fof(f504,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(identity,identity),X0)),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[],[f156,f399]) ).
fof(f156,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(double_divide(X3,double_divide(double_divide(X0,X1),X2)),multiply(X1,X0))),inverse(identity)) = X3,
inference(superposition,[],[f21,f6]) ).
fof(f837,plain,
! [X0] : inverse(X0) = multiply(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[],[f836,f6]) ).
fof(f836,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(double_divide(identity,inverse(X0)))),
inference(forward_demodulation,[],[f828,f786]) ).
fof(f786,plain,
! [X5] : multiply(identity,inverse(X5)) = multiply(double_divide(identity,X5),identity),
inference(superposition,[],[f581,f564]) ).
fof(f564,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(backward_demodulation,[],[f44,f563]) ).
fof(f44,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(superposition,[],[f27,f26]) ).
fof(f27,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f22]) ).
fof(f581,plain,
! [X0,X1] : multiply(double_divide(double_divide(X1,X0),X0),identity) = X1,
inference(forward_demodulation,[],[f580,f563]) ).
fof(f580,plain,
! [X0,X1] : multiply(double_divide(double_divide(X1,X0),multiply(identity,multiply(identity,X0))),identity) = X1,
inference(forward_demodulation,[],[f579,f6]) ).
fof(f579,plain,
! [X0,X1] : inverse(double_divide(identity,double_divide(double_divide(X1,X0),multiply(identity,multiply(identity,X0))))) = X1,
inference(forward_demodulation,[],[f534,f3]) ).
fof(f534,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),multiply(identity,multiply(identity,X0)))),identity) = X1,
inference(backward_demodulation,[],[f213,f519]) ).
fof(f213,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X1,X0),multiply(identity,multiply(identity,X0)))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f212,f22]) ).
fof(f212,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X1,X0),multiply(identity,inverse(inverse(X0))))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f204,f26]) ).
fof(f204,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X1,X0),inverse(multiply(identity,inverse(X0))))),inverse(identity)) = X1,
inference(superposition,[],[f21,f196]) ).
fof(f828,plain,
! [X0] : inverse(X0) = multiply(double_divide(identity,double_divide(identity,inverse(X0))),identity),
inference(superposition,[],[f581,f634]) ).
fof(f634,plain,
! [X1] : identity = double_divide(inverse(X1),double_divide(identity,inverse(X1))),
inference(forward_demodulation,[],[f625,f544]) ).
fof(f544,plain,
identity = multiply(identity,identity),
inference(backward_demodulation,[],[f310,f519]) ).
fof(f310,plain,
inverse(identity) = multiply(inverse(identity),inverse(identity)),
inference(superposition,[],[f6,f303]) ).
fof(f625,plain,
! [X1] : multiply(identity,identity) = double_divide(inverse(X1),double_divide(identity,inverse(X1))),
inference(superposition,[],[f276,f519]) ).
fof(f578,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(identity,inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f577,f26]) ).
fof(f577,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(identity,multiply(X1,X0))),
inference(forward_demodulation,[],[f532,f3]) ).
fof(f532,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(multiply(identity,multiply(X1,X0)),identity),
inference(backward_demodulation,[],[f201,f519]) ).
fof(f25,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[],[f22,f6]) ).
fof(f902,plain,
! [X0,X1] : multiply(identity,double_divide(double_divide(X1,X0),X0)) = X1,
inference(backward_demodulation,[],[f581,f900]) ).
fof(f900,plain,
! [X2] : multiply(identity,X2) = multiply(X2,identity),
inference(forward_demodulation,[],[f891,f6]) ).
fof(f891,plain,
! [X2] : multiply(identity,X2) = inverse(double_divide(identity,X2)),
inference(superposition,[],[f614,f848]) ).
fof(f848,plain,
! [X3] : identity = multiply(X3,inverse(X3)),
inference(backward_demodulation,[],[f569,f838]) ).
fof(f18,plain,
( a2 != multiply(identity,a2)
| spl0_4 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_4
<=> a2 = multiply(identity,a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1998,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1997]) ).
fof(f1997,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f1996,f4]) ).
fof(f1996,plain,
( identity != double_divide(a1,inverse(a1))
| spl0_3 ),
inference(forward_demodulation,[],[f1995,f1304]) ).
fof(f1304,plain,
! [X2,X3] : double_divide(X2,inverse(X3)) = multiply(X3,inverse(X2)),
inference(superposition,[],[f1036,f1160]) ).
fof(f1160,plain,
! [X10,X11] : multiply(X11,X10) = multiply(X10,X11),
inference(forward_demodulation,[],[f1142,f6]) ).
fof(f1142,plain,
! [X10,X11] : multiply(X11,X10) = inverse(double_divide(X11,X10)),
inference(superposition,[],[f1062,f1123]) ).
fof(f1123,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f1122,f955]) ).
fof(f955,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f22,f954]) ).
fof(f1122,plain,
! [X0,X1] : double_divide(X1,inverse(inverse(double_divide(X0,X1)))) = X0,
inference(forward_demodulation,[],[f1113,f1036]) ).
fof(f1113,plain,
! [X0,X1] : multiply(inverse(X1),inverse(double_divide(X0,X1))) = X0,
inference(superposition,[],[f1032,f1062]) ).
fof(f1032,plain,
! [X8,X7] : multiply(multiply(X7,X8),inverse(X7)) = X8,
inference(superposition,[],[f909,f955]) ).
fof(f909,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[],[f614,f906]) ).
fof(f906,plain,
! [X5] : inverse(X5) = double_divide(identity,X5),
inference(forward_demodulation,[],[f901,f857]) ).
fof(f901,plain,
! [X5] : inverse(X5) = multiply(identity,double_divide(identity,X5)),
inference(backward_demodulation,[],[f852,f900]) ).
fof(f852,plain,
! [X5] : inverse(X5) = multiply(double_divide(identity,X5),identity),
inference(backward_demodulation,[],[f786,f838]) ).
fof(f1062,plain,
! [X8,X7] : inverse(X7) = multiply(double_divide(X8,X7),X8),
inference(superposition,[],[f1045,f955]) ).
fof(f1045,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X1)),X0) = X1,
inference(backward_demodulation,[],[f909,f1036]) ).
fof(f1036,plain,
! [X3,X4] : double_divide(X4,inverse(X3)) = multiply(inverse(X4),X3),
inference(superposition,[],[f909,f951]) ).
fof(f951,plain,
! [X4,X5] : inverse(X4) = multiply(X5,double_divide(X4,X5)),
inference(superposition,[],[f6,f931]) ).
fof(f1995,plain,
( identity != multiply(a1,inverse(a1))
| spl0_3 ),
inference(forward_demodulation,[],[f15,f1160]) ).
fof(f15,plain,
( identity != multiply(inverse(a1),a1)
| spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_3
<=> identity = multiply(inverse(a1),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1994,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f1993,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f12,f1160]) ).
fof(f12,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f11,plain,
( spl0_2
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1952,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1951,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f1950]) ).
fof(f1950,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f1941,f1160]) ).
fof(f1941,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| spl0_1 ),
inference(backward_demodulation,[],[f1170,f1935]) ).
fof(f1935,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f1903,f1729]) ).
fof(f1729,plain,
! [X26,X24,X25] : multiply(multiply(X25,X24),X26) = multiply(X25,multiply(X24,X26)),
inference(superposition,[],[f1412,f1167]) ).
fof(f1167,plain,
! [X2,X0,X1] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
inference(backward_demodulation,[],[f1029,f1160]) ).
fof(f1029,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X0),X2),double_divide(X0,X1)) = X2,
inference(superposition,[],[f909,f6]) ).
fof(f1412,plain,
! [X8,X9,X7] : multiply(X8,multiply(X7,multiply(double_divide(X7,X8),X9))) = X9,
inference(backward_demodulation,[],[f1164,f1391]) ).
fof(f1391,plain,
! [X6,X4,X5] : multiply(X6,multiply(X4,X5)) = double_divide(inverse(X6),double_divide(X5,X4)),
inference(superposition,[],[f1303,f856]) ).
fof(f1303,plain,
! [X8,X7] : multiply(X7,X8) = double_divide(inverse(X7),inverse(X8)),
inference(superposition,[],[f1036,f955]) ).
fof(f1164,plain,
! [X8,X9,X7] : multiply(X8,double_divide(inverse(X7),double_divide(X9,double_divide(X7,X8)))) = X9,
inference(backward_demodulation,[],[f1151,f1160]) ).
fof(f1151,plain,
! [X8,X9,X7] : multiply(double_divide(inverse(X7),double_divide(X9,double_divide(X7,X8))),X8) = X9,
inference(backward_demodulation,[],[f963,f1133]) ).
fof(f1133,plain,
! [X6,X7] : double_divide(X6,X7) = double_divide(X7,X6),
inference(superposition,[],[f1123,f931]) ).
fof(f963,plain,
! [X8,X9,X7] : multiply(double_divide(double_divide(X9,double_divide(X7,X8)),inverse(X7)),X8) = X9,
inference(backward_demodulation,[],[f846,f954]) ).
fof(f846,plain,
! [X8,X9,X7] : multiply(double_divide(double_divide(X9,double_divide(multiply(identity,X7),X8)),inverse(X7)),X8) = X9,
inference(backward_demodulation,[],[f558,f838]) ).
fof(f558,plain,
! [X8,X9,X7] : multiply(double_divide(double_divide(X9,double_divide(multiply(identity,X7),X8)),multiply(identity,inverse(X7))),X8) = X9,
inference(forward_demodulation,[],[f557,f6]) ).
fof(f557,plain,
! [X8,X9,X7] : inverse(double_divide(X8,double_divide(double_divide(X9,double_divide(multiply(identity,X7),X8)),multiply(identity,inverse(X7))))) = X9,
inference(forward_demodulation,[],[f529,f3]) ).
fof(f529,plain,
! [X8,X9,X7] : double_divide(double_divide(X8,double_divide(double_divide(X9,double_divide(multiply(identity,X7),X8)),multiply(identity,inverse(X7)))),identity) = X9,
inference(backward_demodulation,[],[f158,f519]) ).
fof(f158,plain,
! [X8,X9,X7] : double_divide(double_divide(X8,double_divide(double_divide(X9,double_divide(multiply(identity,X7),X8)),multiply(identity,inverse(X7)))),inverse(identity)) = X9,
inference(superposition,[],[f21,f26]) ).
fof(f1903,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f1729,f1160]) ).
fof(f1170,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| spl0_1 ),
inference(backward_demodulation,[],[f9,f1160]) ).
fof(f9,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f19,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f17,f14,f11,f8]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 23:53:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018
% 0.15/0.37 % (5204)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (5206)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.43 % (5207)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43 % (5208)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43 % (5210)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.43 % (5210)Refutation not found, incomplete strategy% (5210)------------------------------
% 0.23/0.43 % (5210)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (5210)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (5210)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43 % (5210)Memory used [KB]: 895
% 0.23/0.43 % (5210)Time elapsed: 0.003 s
% 0.23/0.43 % (5210)------------------------------
% 0.23/0.43 % (5210)------------------------------
% 0.23/0.44 % (5209)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.44 % (5212)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.44 % (5211)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.48 % (5207)First to succeed.
% 0.23/0.48 % (5207)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.49 % (5207)------------------------------
% 0.23/0.49 % (5207)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (5207)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (5207)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (5207)Memory used [KB]: 10874
% 0.23/0.49 % (5207)Time elapsed: 0.053 s
% 0.23/0.49 % (5207)------------------------------
% 0.23/0.49 % (5207)------------------------------
% 0.23/0.49 % (5204)Success in time 0.112 s
% 0.23/0.49 5206 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.qRJDlew2n6/Vampire---4.8_5018
% 0.23/0.49 % (5206)------------------------------
% 0.23/0.49 % (5206)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (5206)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (5206)Termination reason: Unknown
% 0.23/0.49 % (5206)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (5206)Memory used [KB]: 5373
% 0.23/0.49 % (5206)Time elapsed: 0.056 s
% 0.23/0.49 % (5206)------------------------------
% 0.23/0.49 % (5206)------------------------------
% 0.23/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------