TSTP Solution File: GRP499-1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP499-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 : Mon Jun 24 07:17:59 EDT 2024
% Result : Unsatisfiable 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 115 ( 115 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 454 ( 454 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2860,plain,
$false,
inference(subsumption_resolution,[],[f2859,f2223]) ).
fof(f2223,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(backward_demodulation,[],[f2159,f2162]) ).
fof(f2162,plain,
! [X2,X0,X4] : double_divide(X4,double_divide(double_divide(inverse(inverse(X2)),inverse(X0)),X4)) = double_divide(X2,inverse(X0)),
inference(backward_demodulation,[],[f1794,f2146]) ).
fof(f2146,plain,
! [X2,X3,X4] : double_divide(X3,X2) = double_divide(X3,double_divide(X4,double_divide(X2,X4))),
inference(forward_demodulation,[],[f2145,f1935]) ).
fof(f1935,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),inverse(X0))) = X1,
inference(backward_demodulation,[],[f1572,f1879]) ).
fof(f1879,plain,
! [X2,X3,X4] : inverse(double_divide(X3,X2)) = inverse(double_divide(X3,double_divide(X4,double_divide(X2,X4)))),
inference(backward_demodulation,[],[f1367,f1863]) ).
fof(f1863,plain,
! [X0,X4] : inverse(X0) = double_divide(inverse(X4),inverse(double_divide(X4,X0))),
inference(backward_demodulation,[],[f1407,f1857]) ).
fof(f1857,plain,
! [X2,X0,X1,X4] : inverse(double_divide(X4,double_divide(X2,double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))),X2)))) = X4,
inference(backward_demodulation,[],[f762,f1855]) ).
fof(f1855,plain,
! [X0,X4] : double_divide(X0,double_divide(inverse(inverse(X4)),X0)) = X4,
inference(forward_demodulation,[],[f1846,f721]) ).
fof(f721,plain,
! [X2,X0,X1] : inverse(double_divide(X2,double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))))) = X2,
inference(forward_demodulation,[],[f700,f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X2)))),double_divide(X3,double_divide(X0,X3)))) = X0,
inference(superposition,[],[f21,f81]) ).
fof(f81,plain,
! [X2,X4,X5] : double_divide(X4,double_divide(X5,X4)) = double_divide(X2,double_divide(X5,X2)),
inference(superposition,[],[f72,f21]) ).
fof(f72,plain,
! [X3,X1,X6] : double_divide(X3,double_divide(X1,X3)) = double_divide(inverse(X6),double_divide(X1,inverse(X6))),
inference(forward_demodulation,[],[f52,f24]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,X3) = double_divide(inverse(inverse(double_divide(X0,double_divide(X1,X2)))),inverse(double_divide(double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X2)),double_divide(X5,double_divide(inverse(X0),X5))))),double_divide(X6,double_divide(X3,X6))))),
inference(superposition,[],[f1,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X2)),double_divide(X5,double_divide(inverse(X0),X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f52,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(X3,double_divide(X1,X3)) = double_divide(inverse(X6),double_divide(inverse(inverse(double_divide(X0,double_divide(X1,X2)))),inverse(double_divide(double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X2)),double_divide(X5,double_divide(inverse(X0),X5))))),double_divide(X7,double_divide(inverse(X6),X7)))))),
inference(superposition,[],[f29,f5]) ).
fof(f29,plain,
! [X2,X0,X4,X5] : double_divide(inverse(X0),double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X2)),double_divide(X5,double_divide(inverse(X0),X5)))))) = X2,
inference(backward_demodulation,[],[f20,f21]) ).
fof(f20,plain,
! [X2,X0,X1,X6,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X1,double_divide(X6,double_divide(inverse(X1),X2)))),double_divide(X7,double_divide(X6,X7)))) = double_divide(inverse(X0),double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X2)),double_divide(X5,double_divide(inverse(X0),X5)))))),
inference(superposition,[],[f5,f5]) ).
fof(f21,plain,
! [X2,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X1,double_divide(X4,double_divide(inverse(X1),X2)))),double_divide(X5,double_divide(X4,X5)))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f700,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X4,double_divide(X5,double_divide(inverse(X4),X5)))),double_divide(X3,double_divide(inverse(double_divide(X2,double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))))),X3)))) = X2,
inference(superposition,[],[f143,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(inverse(X0),X3)) = double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X0),
inference(superposition,[],[f81,f361]) ).
fof(f361,plain,
! [X2,X0,X4] : double_divide(inverse(X4),double_divide(X0,inverse(double_divide(X2,double_divide(X0,X2))))) = X4,
inference(forward_demodulation,[],[f317,f244]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(X2)) = inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X1,X3)))),double_divide(X4,double_divide(double_divide(X0,X1),X4)))),
inference(superposition,[],[f21,f118]) ).
fof(f118,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X3)) = double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X1,X2))),
inference(superposition,[],[f81,f81]) ).
fof(f317,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(double_divide(X2,double_divide(X0,X2)),double_divide(X3,double_divide(X1,X3)))),double_divide(X5,double_divide(double_divide(X0,X1),X5))))) = X4,
inference(superposition,[],[f137,f118]) ).
fof(f137,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X2,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X0,
inference(superposition,[],[f1,f81]) ).
fof(f1846,plain,
! [X2,X0,X1,X4] : double_divide(X0,double_divide(inverse(inverse(X4)),inverse(double_divide(X0,double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))))))) = X4,
inference(backward_demodulation,[],[f777,f1683]) ).
fof(f1683,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))) = double_divide(inverse(inverse(X2)),inverse(X0)),
inference(backward_demodulation,[],[f5,f1642]) ).
fof(f1642,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(inverse(X0),X3))))) = double_divide(inverse(inverse(X2)),inverse(X0)),
inference(backward_demodulation,[],[f51,f1635]) ).
fof(f1635,plain,
! [X0,X1,X4,X5] : double_divide(inverse(X1),X0) = double_divide(X4,double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X5,double_divide(X4,X5)))))),
inference(backward_demodulation,[],[f581,f1626]) ).
fof(f1626,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X0)) = X0,
inference(backward_demodulation,[],[f1110,f1625]) ).
fof(f1625,plain,
! [X0,X4,X5] : double_divide(inverse(X4),inverse(double_divide(X4,double_divide(X5,double_divide(inverse(X0),X5))))) = X0,
inference(backward_demodulation,[],[f1111,f1617]) ).
fof(f1617,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X1,inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))))),X0)) = X0,
inference(backward_demodulation,[],[f982,f1609]) ).
fof(f1609,plain,
! [X2,X3,X1] : inverse(double_divide(double_divide(X2,inverse(X1)),double_divide(X3,double_divide(X2,X3)))) = X1,
inference(backward_demodulation,[],[f483,f1572]) ).
fof(f483,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(double_divide(X2,inverse(X1)),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X4,double_divide(inverse(X0),X4)))),
inference(superposition,[],[f21,f368]) ).
fof(f368,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),double_divide(X0,inverse(double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X1,X2)))))) = X3,
inference(superposition,[],[f361,f81]) ).
fof(f982,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(double_divide(X1,inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))))),X0)) = inverse(double_divide(double_divide(X4,inverse(X0)),double_divide(X5,double_divide(X4,X5)))),
inference(superposition,[],[f763,f368]) ).
fof(f763,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,X0))) = inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f721,f118]) ).
fof(f1111,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(double_divide(X1,inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))))),X0)) = double_divide(inverse(X4),inverse(double_divide(X4,double_divide(X5,double_divide(inverse(X0),X5))))),
inference(superposition,[],[f774,f368]) ).
fof(f774,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(X1,X2))) = double_divide(inverse(X0),inverse(double_divide(X0,double_divide(X3,double_divide(X1,X3))))),
inference(superposition,[],[f1,f721]) ).
fof(f1110,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X0)) = double_divide(inverse(X3),inverse(double_divide(X3,double_divide(X4,double_divide(inverse(X0),X4))))),
inference(superposition,[],[f774,f361]) ).
fof(f581,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),X0) = double_divide(X4,double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X3,double_divide(X2,X3)))),X1)),double_divide(X5,double_divide(X4,X5)))))),
inference(superposition,[],[f55,f414]) ).
fof(f55,plain,
! [X2,X6,X4,X5] : double_divide(X2,double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),double_divide(X6,double_divide(X2,X6)))))) = X5,
inference(superposition,[],[f29,f21]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(inverse(X0),X3))))) = double_divide(inverse(X4),double_divide(inverse(inverse(X0)),inverse(double_divide(inverse(X2),double_divide(X5,double_divide(inverse(X4),X5)))))),
inference(superposition,[],[f29,f29]) ).
fof(f777,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2))))),double_divide(X3,X4))),double_divide(X5,double_divide(X3,X5))))) = X4,
inference(superposition,[],[f1,f721]) ).
fof(f762,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X3,double_divide(inverse(inverse(double_divide(X2,double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))),X2)))),X3)))) = X4,
inference(superposition,[],[f721,f414]) ).
fof(f1407,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(X0),double_divide(X3,double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X3)))) = double_divide(inverse(X4),inverse(double_divide(X4,X0))),
inference(superposition,[],[f1367,f361]) ).
fof(f1367,plain,
! [X2,X3,X4,X5] : inverse(double_divide(X3,double_divide(X4,double_divide(X2,X4)))) = double_divide(inverse(X5),inverse(double_divide(X5,double_divide(X3,X2)))),
inference(backward_demodulation,[],[f706,f1339]) ).
fof(f1339,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X4),double_divide(X3,double_divide(inverse(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1))))),X3))) = X4,
inference(superposition,[],[f1172,f143]) ).
fof(f1172,plain,
! [X2,X3,X1,X4] : double_divide(inverse(X4),double_divide(X1,double_divide(inverse(X2),inverse(double_divide(X2,double_divide(X3,double_divide(X1,X3))))))) = X4,
inference(superposition,[],[f361,f774]) ).
fof(f706,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X5),inverse(double_divide(inverse(double_divide(X5,double_divide(X3,X2))),double_divide(X6,double_divide(inverse(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1))))),X6))))) = inverse(double_divide(X3,double_divide(X4,double_divide(X2,X4)))),
inference(superposition,[],[f5,f143]) ).
fof(f1572,plain,
! [X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(inverse(X0),X3)))) = X1,
inference(backward_demodulation,[],[f404,f1568]) ).
fof(f1568,plain,
! [X3,X0] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = X0,
inference(backward_demodulation,[],[f1240,f1564]) ).
fof(f1564,plain,
! [X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(X5,double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))),X5)))) = X4,
inference(backward_demodulation,[],[f618,f1512]) ).
fof(f1512,plain,
! [X3,X0,X1] : double_divide(inverse(X3),double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))) = X3,
inference(superposition,[],[f1466,f143]) ).
fof(f1466,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X1))))) = X2,
inference(superposition,[],[f361,f1367]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X5,double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))),X5))),double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3)))))) = X4,
inference(superposition,[],[f137,f414]) ).
fof(f1240,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = double_divide(inverse(X0),inverse(double_divide(X4,double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X4)))),
inference(superposition,[],[f1156,f361]) ).
fof(f1156,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,double_divide(X0,X3))) = double_divide(inverse(double_divide(X0,X1)),inverse(double_divide(X2,double_divide(X1,X2)))),
inference(superposition,[],[f774,f81]) ).
fof(f404,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(inverse(X1),X2))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(inverse(X0),X3)))),
inference(superposition,[],[f21,f361]) ).
fof(f2145,plain,
! [X2,X3,X0,X4] : double_divide(X3,X2) = inverse(double_divide(inverse(double_divide(double_divide(X3,double_divide(X4,double_divide(X2,X4))),X0)),inverse(X0))),
inference(forward_demodulation,[],[f2002,f2130]) ).
fof(f2130,plain,
! [X3,X0,X1] : double_divide(inverse(inverse(double_divide(X1,X0))),inverse(X3)) = inverse(double_divide(inverse(double_divide(X3,X1)),X0)),
inference(forward_demodulation,[],[f1969,f1879]) ).
fof(f1969,plain,
! [X2,X3,X0,X1] : double_divide(inverse(inverse(double_divide(X1,X0))),inverse(X3)) = inverse(double_divide(inverse(double_divide(X3,double_divide(X2,double_divide(X1,X2)))),X0)),
inference(backward_demodulation,[],[f1676,f1879]) ).
fof(f1676,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X3,double_divide(X2,double_divide(X1,X2)))),double_divide(X4,double_divide(X0,X4)))) = double_divide(inverse(inverse(double_divide(X1,X0))),inverse(X3)),
inference(backward_demodulation,[],[f146,f1642]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X5),inverse(double_divide(inverse(double_divide(X5,double_divide(X1,X0))),double_divide(X6,double_divide(inverse(X3),X6))))) = inverse(double_divide(inverse(double_divide(X3,double_divide(X2,double_divide(X1,X2)))),double_divide(X4,double_divide(X0,X4)))),
inference(superposition,[],[f5,f81]) ).
fof(f2002,plain,
! [X2,X3,X0,X4] : double_divide(X3,X2) = double_divide(inverse(inverse(double_divide(X0,inverse(X0)))),inverse(double_divide(X3,double_divide(X4,double_divide(X2,X4))))),
inference(backward_demodulation,[],[f707,f1879]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X4] : double_divide(X3,X2) = double_divide(inverse(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1))))),inverse(double_divide(X3,double_divide(X4,double_divide(X2,X4))))),
inference(superposition,[],[f1,f143]) ).
fof(f1794,plain,
! [X2,X0,X4,X5] : double_divide(X2,double_divide(X5,double_divide(inverse(X0),X5))) = double_divide(X4,double_divide(double_divide(inverse(inverse(X2)),inverse(X0)),X4)),
inference(backward_demodulation,[],[f186,f1683]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))),X4)) = double_divide(X2,double_divide(X5,double_divide(inverse(X0),X5))),
inference(superposition,[],[f118,f1]) ).
fof(f2159,plain,
! [X0,X1,X4] : double_divide(X0,inverse(X0)) = double_divide(X4,double_divide(double_divide(inverse(inverse(X1)),inverse(X1)),X4)),
inference(backward_demodulation,[],[f1753,f2146]) ).
fof(f1753,plain,
! [X0,X1,X4,X5] : double_divide(X0,double_divide(X5,double_divide(inverse(X0),X5))) = double_divide(X4,double_divide(double_divide(inverse(inverse(X1)),inverse(X1)),X4)),
inference(backward_demodulation,[],[f359,f1683]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),double_divide(X3,double_divide(X2,X3)))),X4)) = double_divide(X0,double_divide(X5,double_divide(inverse(X0),X5))),
inference(superposition,[],[f118,f137]) ).
fof(f2859,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[],[f2857,f2850]) ).
fof(f2850,plain,
! [X2,X0] : double_divide(X2,inverse(X0)) = inverse(double_divide(X0,inverse(X2))),
inference(forward_demodulation,[],[f2421,f2522]) ).
fof(f2522,plain,
! [X2,X0] : inverse(double_divide(X2,X0)) = double_divide(inverse(X0),inverse(X2)),
inference(backward_demodulation,[],[f2123,f2494]) ).
fof(f2494,plain,
! [X0,X1,X4] : double_divide(X1,X0) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X1)),X0))),
inference(backward_demodulation,[],[f2199,f2439]) ).
fof(f2439,plain,
! [X2,X6] : double_divide(double_divide(X2,X6),X2) = X6,
inference(backward_demodulation,[],[f1739,f2437]) ).
fof(f2437,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(forward_demodulation,[],[f2436,f2293]) ).
fof(f2293,plain,
! [X2,X4] : double_divide(X4,double_divide(X2,X4)) = X2,
inference(forward_demodulation,[],[f2292,f1739]) ).
fof(f2292,plain,
! [X2,X0,X4] : double_divide(X4,double_divide(X2,X4)) = double_divide(inverse(inverse(double_divide(inverse(X0),X2))),inverse(X0)),
inference(forward_demodulation,[],[f2289,f2113]) ).
fof(f2113,plain,
! [X2,X0,X1] : double_divide(inverse(inverse(X2)),inverse(X0)) = inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),X1)),
inference(backward_demodulation,[],[f1934,f2110]) ).
fof(f2110,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X2)),X0)) = double_divide(inverse(X0),inverse(double_divide(inverse(X2),inverse(X1)))),
inference(forward_demodulation,[],[f1938,f1879]) ).
fof(f1938,plain,
! [X2,X0,X1,X4] : double_divide(inverse(X0),inverse(double_divide(inverse(X2),double_divide(X4,double_divide(inverse(X1),X4))))) = inverse(double_divide(inverse(double_divide(X1,X2)),X0)),
inference(backward_demodulation,[],[f289,f1879]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X0,X3)))) = double_divide(inverse(X0),inverse(double_divide(inverse(X2),double_divide(X4,double_divide(inverse(X1),X4))))),
inference(superposition,[],[f1,f55]) ).
fof(f1934,plain,
! [X2,X0,X1] : double_divide(inverse(inverse(X2)),inverse(X0)) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),inverse(X0)))),
inference(backward_demodulation,[],[f1642,f1879]) ).
fof(f2289,plain,
! [X2,X0,X1,X4] : double_divide(X4,double_divide(X2,X4)) = inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),X1)),
inference(backward_demodulation,[],[f2151,f2288]) ).
fof(f2288,plain,
! [X0,X1,X4,X5] : inverse(double_divide(X0,X1)) = double_divide(double_divide(X4,inverse(double_divide(X5,double_divide(X4,X5)))),double_divide(X0,X1)),
inference(forward_demodulation,[],[f2274,f2146]) ).
fof(f2274,plain,
! [X2,X0,X1,X4,X5] : double_divide(double_divide(X4,inverse(double_divide(X5,double_divide(X4,X5)))),double_divide(X0,X1)) = inverse(double_divide(X0,double_divide(X2,double_divide(X1,X2)))),
inference(backward_demodulation,[],[f1297,f2038]) ).
fof(f2038,plain,
! [X2,X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X0),inverse(double_divide(X2,double_divide(X1,X2)))),
inference(backward_demodulation,[],[f1410,f1879]) ).
fof(f1410,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(X3,double_divide(X0,X3)))) = double_divide(inverse(X0),inverse(double_divide(X2,double_divide(X1,X2)))),
inference(superposition,[],[f1367,f81]) ).
fof(f1297,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(double_divide(X2,double_divide(X1,X2))),inverse(double_divide(X3,double_divide(X0,X3)))) = double_divide(double_divide(X4,inverse(double_divide(X5,double_divide(X4,X5)))),double_divide(X0,X1)),
inference(superposition,[],[f414,f1156]) ).
fof(f2151,plain,
! [X2,X0,X1,X6,X4,X5] : double_divide(X4,double_divide(X2,X4)) = double_divide(double_divide(X5,inverse(double_divide(X6,double_divide(X5,X6)))),double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),X1)),
inference(backward_demodulation,[],[f502,f2146]) ).
fof(f502,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X4,double_divide(X2,X4)) = double_divide(double_divide(X5,inverse(double_divide(X6,double_divide(X5,X6)))),double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3)))),
inference(superposition,[],[f414,f21]) ).
fof(f2436,plain,
! [X4,X5] : double_divide(inverse(X4),double_divide(inverse(inverse(X5)),inverse(X4))) = X5,
inference(forward_demodulation,[],[f2425,f2113]) ).
fof(f2425,plain,
! [X0,X4,X5] : double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X0,X5))),X0))) = X5,
inference(backward_demodulation,[],[f1940,f2295]) ).
fof(f2295,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))),X2) = X0,
inference(backward_demodulation,[],[f1942,f2293]) ).
fof(f1942,plain,
! [X2,X0,X1,X4] : double_divide(inverse(X4),double_divide(X0,inverse(X4))) = double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))),X2),
inference(backward_demodulation,[],[f296,f1879]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),double_divide(X0,inverse(X4))) = double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X0,X3))))),X2),
inference(superposition,[],[f72,f55]) ).
fof(f1940,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X0,X5))),double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))),X2)))) = X5,
inference(backward_demodulation,[],[f291,f1879]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X0,X5))),double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X0,X3))))),X2)))) = X5,
inference(superposition,[],[f1,f55]) ).
fof(f1739,plain,
! [X2,X6] : double_divide(inverse(inverse(double_divide(X2,X6))),X2) = X6,
inference(forward_demodulation,[],[f1728,f21]) ).
fof(f1728,plain,
! [X2,X3,X0,X1,X6] : double_divide(inverse(inverse(double_divide(X2,X6))),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3))))) = X6,
inference(backward_demodulation,[],[f651,f1676]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3))),double_divide(X4,double_divide(X2,X4)))),double_divide(X5,double_divide(X6,X5)))) = X6,
inference(superposition,[],[f143,f21]) ).
fof(f2199,plain,
! [X2,X0,X1,X4] : double_divide(X1,X0) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(X2,X1),X2))),X0))),
inference(backward_demodulation,[],[f1976,f2146]) ).
fof(f1976,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,X0) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))))),X0))),
inference(backward_demodulation,[],[f223,f1879]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X1,X0) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))))),double_divide(X5,double_divide(X0,X5))))),
inference(superposition,[],[f1,f118]) ).
fof(f2123,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(X2)) = inverse(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0)))),
inference(forward_demodulation,[],[f1961,f1879]) ).
fof(f1961,plain,
! [X2,X0,X1,X4] : double_divide(inverse(X0),inverse(X2)) = inverse(double_divide(inverse(X1),double_divide(X4,double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X0)),X4)))),
inference(backward_demodulation,[],[f1418,f1879]) ).
fof(f1418,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(X1),double_divide(X4,double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X0,X3)))),X4)))) = double_divide(inverse(X0),inverse(X2)),
inference(superposition,[],[f1367,f55]) ).
fof(f2421,plain,
! [X2,X0] : double_divide(inverse(inverse(X2)),inverse(X0)) = double_divide(X2,inverse(X0)),
inference(backward_demodulation,[],[f2162,f2293]) ).
fof(f2857,plain,
double_divide(a1,inverse(a1)) != inverse(double_divide(b1,inverse(b1))),
inference(backward_demodulation,[],[f4,f2850]) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP499-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n017.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 : Thu Jun 20 07:07:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8127)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8128)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8126)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8125)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8124)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.22/0.42 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8129)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.22/0.43 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (8123)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (2999ds/276418Mi)
% 0.22/0.51 % (8125)Instruction limit reached!
% 0.22/0.51 % (8125)------------------------------
% 0.22/0.51 % (8125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51 % (8125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51 % (8125)Termination reason: Time limit
% 0.22/0.51 % (8125)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (8125)Memory used [KB]: 2069
% 0.22/0.51 % (8125)Time elapsed: 0.084 s
% 0.22/0.51 % (8125)Instructions burned: 105 (million)
% 0.22/0.52 % (8127)Instruction limit reached!
% 0.22/0.52 % (8127)------------------------------
% 0.22/0.52 % (8127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.52 % (8127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.52 % (8127)Termination reason: Time limit
% 0.22/0.52 % (8127)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (8127)Memory used [KB]: 2775
% 0.22/0.52 % (8127)Time elapsed: 0.102 s
% 0.22/0.52 % (8127)Instructions burned: 150 (million)
% 0.22/0.54 % (8126)Instruction limit reached!
% 0.22/0.54 % (8126)------------------------------
% 0.22/0.54 % (8126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.54 % (8126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.54 % (8126)Termination reason: Time limit
% 0.22/0.54 % (8126)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (8126)Memory used [KB]: 2439
% 0.22/0.54 % (8126)Time elapsed: 0.117 s
% 0.22/0.54 % (8126)Instructions burned: 149 (million)
% 0.22/0.57 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57 % (8151)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=134:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/134Mi)
% 0.22/0.59 % (8129)First to succeed.
% 0.22/0.59 % (8129)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8122"
% 0.22/0.59 % (8122)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59 % (8129)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.60 % (8129)------------------------------
% 0.22/0.60 % (8129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.60 % (8129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.60 % (8129)Termination reason: Refutation
% 0.22/0.60
% 0.22/0.60 % (8129)Memory used [KB]: 3029
% 0.22/0.60 % (8129)Time elapsed: 0.169 s
% 0.22/0.60 % (8129)Instructions burned: 345 (million)
% 0.22/0.60 % (8129)------------------------------
% 0.22/0.60 % (8129)------------------------------
% 0.22/0.60 % (8122)Success in time 0.227 s
%------------------------------------------------------------------------------