TSTP Solution File: GRP436-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP436-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 07:17:45 EDT 2024
% Result : Unsatisfiable 3.02s 0.89s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 86 ( 86 unt; 0 def)
% Number of atoms : 86 ( 81 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 323 ( 323 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7723,plain,
$false,
inference(subsumption_resolution,[],[f7700,f7699]) ).
fof(f7699,plain,
! [X0] : ~ sP0(multiply(X0,inverse(X0))),
inference(superposition,[],[f3,f6979]) ).
fof(f6979,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = multiply(inverse(X1),X1),
inference(backward_demodulation,[],[f6258,f6892]) ).
fof(f6892,plain,
! [X1,X4] : multiply(inverse(multiply(X1,inverse(X1))),X4) = X4,
inference(backward_demodulation,[],[f6287,f6889]) ).
fof(f6889,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f6888,f6287]) ).
fof(f6888,plain,
! [X2,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(inverse(inverse(X2))))) = X2,
inference(forward_demodulation,[],[f6868,f6429]) ).
fof(f6429,plain,
! [X2,X0] : multiply(X2,inverse(inverse(inverse(inverse(X0))))) = inverse(multiply(inverse(X0),inverse(inverse(inverse(inverse(inverse(X2))))))),
inference(backward_demodulation,[],[f6357,f6373]) ).
fof(f6373,plain,
! [X2,X0] : multiply(multiply(X0,inverse(X0)),X2) = inverse(inverse(inverse(inverse(X2)))),
inference(backward_demodulation,[],[f6288,f6314]) ).
fof(f6314,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(X0)))),
inference(backward_demodulation,[],[f2025,f6298]) ).
fof(f6298,plain,
! [X3,X1] : inverse(inverse(X3)) = multiply(X1,multiply(inverse(X1),X3)),
inference(forward_demodulation,[],[f6297,f5893]) ).
fof(f5893,plain,
! [X3,X4] : multiply(X4,inverse(multiply(X3,inverse(X3)))) = X4,
inference(superposition,[],[f5526,f5533]) ).
fof(f5533,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(X0))),multiply(X0,inverse(X2))),
inference(superposition,[],[f5345,f5414]) ).
fof(f5414,plain,
! [X2,X3,X1,X4] : inverse(X4) = multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(X1,inverse(X1)),X2))))),X3),
inference(superposition,[],[f5345,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1)))))))),inverse(X0))) = X2,
inference(superposition,[],[f39,f161]) ).
fof(f161,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))),X1))) = X3,
inference(superposition,[],[f93,f119]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))) = multiply(X4,inverse(multiply(X2,multiply(X0,multiply(X3,X4))))),
inference(superposition,[],[f1,f93]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f93,plain,
! [X2,X3,X1,X4] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X1,multiply(X2,inverse(X3)))))),X4))) = X2,
inference(superposition,[],[f43,f1]) ).
fof(f43,plain,
! [X2,X3,X1,X4,X5] : multiply(inverse(X3),inverse(multiply(X2,multiply(X4,inverse(multiply(multiply(X3,multiply(X1,inverse(X5))),multiply(X5,multiply(X2,X4)))))))) = X1,
inference(superposition,[],[f1,f10]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0))) = multiply(X4,inverse(multiply(multiply(X0,multiply(X3,inverse(X5))),multiply(X5,multiply(X1,X4))))),
inference(superposition,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0))),multiply(X0,multiply(X3,X4))))) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f39,plain,
! [X2,X3,X1,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[],[f10,f6]) ).
fof(f5345,plain,
! [X2,X3,X1,X4] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(X3)),X1))),X4))) = X4,
inference(superposition,[],[f5,f2029]) ).
fof(f2029,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(X0),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X1,inverse(X1)))),X2))))) = X0,
inference(superposition,[],[f1,f1973]) ).
fof(f1973,plain,
! [X0,X4] : multiply(X0,inverse(X0)) = multiply(X4,inverse(X4)),
inference(forward_demodulation,[],[f1851,f1809]) ).
fof(f1809,plain,
! [X2,X3,X1,X4] : inverse(X4) = multiply(inverse(X4),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X1))),inverse(inverse(X2)))),multiply(inverse(X2),inverse(X1))))),
inference(superposition,[],[f1799,f425]) ).
fof(f425,plain,
! [X3,X6,X7,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X3)),inverse(X6))),
inference(forward_demodulation,[],[f424,f39]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X6,X7,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))))),inverse(X6))),
inference(forward_demodulation,[],[f344,f339]) ).
fof(f339,plain,
! [X2,X3,X0,X1,X5] : multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3)) = inverse(multiply(multiply(X3,multiply(X1,inverse(X5))),multiply(X5,multiply(X2,X0)))),
inference(backward_demodulation,[],[f46,f300]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(X3,X0)))) = multiply(X5,inverse(multiply(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))))),inverse(X7))),multiply(X7,multiply(X0,X5))))),
inference(superposition,[],[f6,f138]) ).
fof(f138,plain,
! [X2,X3,X1,X4,X5] : multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))) = multiply(X5,inverse(multiply(X1,multiply(X2,multiply(X3,X5))))),
inference(superposition,[],[f119,f119]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3)) = multiply(X6,inverse(multiply(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X4,inverse(multiply(multiply(X3,multiply(X1,inverse(X5))),multiply(X5,multiply(X2,X4))))))),inverse(X8))),multiply(X8,multiply(X0,X6))))),
inference(superposition,[],[f6,f10]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),inverse(X6))) = multiply(X7,inverse(multiply(multiply(X6,multiply(X0,inverse(X8))),multiply(X8,multiply(multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1)),X7))))),
inference(backward_demodulation,[],[f20,f339]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),inverse(X6))) = multiply(X7,inverse(multiply(multiply(X6,multiply(X0,inverse(X8))),multiply(X8,multiply(inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0)))),X7))))),
inference(superposition,[],[f10,f6]) ).
fof(f1799,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),multiply(multiply(inverse(inverse(X3)),inverse(inverse(X1))),inverse(inverse(X0)))),multiply(inverse(X0),inverse(X1))))),
inference(superposition,[],[f161,f1759]) ).
fof(f1759,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X3)),multiply(X1,multiply(inverse(X1),inverse(X2))))) = multiply(multiply(inverse(inverse(X2)),inverse(inverse(X3))),inverse(inverse(X0))),
inference(superposition,[],[f1438,f1539]) ).
fof(f1539,plain,
! [X2,X3,X1,X4,X5] : inverse(X2) = multiply(multiply(inverse(inverse(X1)),inverse(multiply(X4,multiply(X5,inverse(multiply(multiply(inverse(X1),inverse(X2)),multiply(X3,multiply(X4,X5)))))))),inverse(X3)),
inference(forward_demodulation,[],[f1480,f339]) ).
fof(f1480,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X2) = inverse(multiply(multiply(X3,multiply(X4,inverse(X0))),multiply(X0,multiply(multiply(X5,inverse(multiply(multiply(inverse(X1),inverse(X2)),multiply(X3,multiply(X4,X5))))),inverse(X1))))),
inference(superposition,[],[f1340,f119]) ).
fof(f1340,plain,
! [X2,X3,X1,X4] : inverse(X3) = inverse(multiply(X4,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X4))),inverse(X2))))),
inference(forward_demodulation,[],[f1287,f339]) ).
fof(f1287,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = inverse(multiply(X4,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X0))),multiply(X0,multiply(X4,X1))))))),
inference(superposition,[],[f1137,f161]) ).
fof(f1137,plain,
! [X3,X6,X4,X5] : inverse(X3) = inverse(multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(X3)),inverse(X4)))))),X5)),
inference(superposition,[],[f881,f1]) ).
fof(f881,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X3,X1)) = inverse(multiply(multiply(inverse(X0),inverse(multiply(X4,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0)))))),X4)),
inference(superposition,[],[f855,f1]) ).
fof(f855,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4)),
inference(forward_demodulation,[],[f819,f39]) ).
fof(f819,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X6),inverse(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4))))),inverse(X0)))),inverse(X6))),
inference(superposition,[],[f39,f112]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))) = multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4))),
inference(superposition,[],[f93,f39]) ).
fof(f1438,plain,
! [X2,X3,X1,X4] : inverse(X3) = multiply(multiply(inverse(inverse(X2)),inverse(multiply(multiply(inverse(X4),inverse(multiply(X1,multiply(inverse(X2),inverse(X3))))),X1))),inverse(X4)),
inference(forward_demodulation,[],[f1381,f339]) ).
fof(f1381,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X1,multiply(inverse(X2),inverse(X3))))),inverse(X0))),multiply(X0,multiply(X1,inverse(X2))))),
inference(superposition,[],[f1286,f339]) ).
fof(f1286,plain,
! [X2,X3,X1,X4] : inverse(X3) = inverse(multiply(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X4))))),X1)),
inference(superposition,[],[f1137,f119]) ).
fof(f1851,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(inverse(X4),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(inverse(X2))),inverse(inverse(X3)))),multiply(inverse(X3),inverse(X2)))))) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1838,f1809]) ).
fof(f1838,plain,
! [X0,X4,X5] : multiply(X5,multiply(inverse(X5),inverse(X4))) = multiply(X0,multiply(inverse(X0),inverse(X4))),
inference(forward_demodulation,[],[f1827,f1809]) ).
fof(f1827,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(inverse(X2))),inverse(inverse(X3)))),multiply(inverse(X3),inverse(X2))))),inverse(X4))) = multiply(X0,multiply(inverse(X0),inverse(X4))),
inference(superposition,[],[f40,f1809]) ).
fof(f40,plain,
! [X2,X1,X6,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X2,X4))),inverse(X1))),
inference(superposition,[],[f10,f10]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f5526,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(X0))),multiply(X0,inverse(X2))))) = X1,
inference(superposition,[],[f1,f5414]) ).
fof(f6297,plain,
! [X2,X3,X1] : inverse(inverse(X3)) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))),X3)),
inference(forward_demodulation,[],[f6226,f5893]) ).
fof(f6226,plain,
! [X2,X3,X0,X1] : inverse(inverse(X3)) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))))),X3)),
inference(superposition,[],[f6168,f5345]) ).
fof(f6168,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2))) = X2,
inference(forward_demodulation,[],[f6107,f5907]) ).
fof(f5907,plain,
! [X2,X3,X0] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X3),X0))),inverse(X3))),
inference(backward_demodulation,[],[f2030,f5893]) ).
fof(f2030,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X1,inverse(X1)))),X0))),inverse(X3))),
inference(superposition,[],[f39,f1973]) ).
fof(f6107,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(X1,inverse(X1))),X2))))),inverse(X0))) = X2,
inference(superposition,[],[f39,f5893]) ).
fof(f2025,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))),
inference(superposition,[],[f1838,f1973]) ).
fof(f6288,plain,
! [X2,X3,X0] : multiply(X2,multiply(X3,inverse(X3))) = multiply(multiply(X0,inverse(X0)),X2),
inference(backward_demodulation,[],[f2535,f6287]) ).
fof(f2535,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,inverse(X3))) = multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(X2)))),
inference(superposition,[],[f2025,f2476]) ).
fof(f2476,plain,
! [X3,X1] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(X3,inverse(X3))),
inference(forward_demodulation,[],[f2460,f1286]) ).
fof(f2460,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(X0),inverse(multiply(X4,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),inverse(X0)))))),X4)),
inference(superposition,[],[f855,f2029]) ).
fof(f6357,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(X1)),X2)))) = multiply(X2,inverse(inverse(inverse(inverse(X0))))),
inference(backward_demodulation,[],[f5406,f6314]) ).
fof(f5406,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,multiply(X3,inverse(X3)))) = inverse(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(X1)),X2)))),
inference(superposition,[],[f5345,f1973]) ).
fof(f6868,plain,
! [X2,X1] : inverse(multiply(inverse(X2),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1)))))))))) = X2,
inference(backward_demodulation,[],[f6757,f6865]) ).
fof(f6865,plain,
! [X2,X1] : multiply(X1,inverse(inverse(inverse(inverse(inverse(X2)))))) = inverse(inverse(inverse(inverse(multiply(X1,inverse(X2)))))),
inference(forward_demodulation,[],[f6864,f6494]) ).
fof(f6494,plain,
! [X2,X3,X1] : multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X3))),X1)) = multiply(X3,inverse(inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f6260,f6373]) ).
fof(f6260,plain,
! [X2,X3,X1,X4] : multiply(X3,multiply(multiply(X4,inverse(X4)),X1)) = multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X3))),X1)),
inference(superposition,[],[f2014,f6168]) ).
fof(f2014,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X0))),inverse(X2))) = multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(X2))),
inference(superposition,[],[f425,f1973]) ).
fof(f6864,plain,
! [X2,X3,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X1))),inverse(X2))) = inverse(inverse(inverse(inverse(multiply(X1,inverse(X2)))))),
inference(forward_demodulation,[],[f6849,f6373]) ).
fof(f6849,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X1))),inverse(X2))) = multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(X2))),
inference(superposition,[],[f425,f6287]) ).
fof(f6757,plain,
! [X2,X1] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(X2),inverse(inverse(multiply(X1,inverse(X1)))))))))) = X2,
inference(forward_demodulation,[],[f6709,f6373]) ).
fof(f6709,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(X2),inverse(inverse(multiply(X1,inverse(X1))))))) = X2,
inference(superposition,[],[f6301,f2476]) ).
fof(f6301,plain,
! [X2,X0] : multiply(X2,inverse(multiply(inverse(X0),inverse(inverse(X2))))) = X0,
inference(backward_demodulation,[],[f5906,f6298]) ).
fof(f5906,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(inverse(X0),multiply(X3,multiply(inverse(X3),X2))))) = X0,
inference(backward_demodulation,[],[f2029,f5893]) ).
fof(f6287,plain,
! [X1,X4] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(X4))) = X4,
inference(backward_demodulation,[],[f2516,f6207]) ).
fof(f6207,plain,
! [X2,X3,X0,X1] : inverse(inverse(X3)) = inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(multiply(X0,inverse(X0)),multiply(X3,X1))))),X2)),
inference(superposition,[],[f6168,f161]) ).
fof(f2516,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(multiply(X0,inverse(X0)),multiply(X4,X2))))),X3))) = X4,
inference(superposition,[],[f161,f2476]) ).
fof(f6258,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1)),X1),
inference(superposition,[],[f1973,f6168]) ).
fof(f3,plain,
~ sP0(multiply(inverse(a1),a1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7700,plain,
! [X0] : sP0(multiply(X0,inverse(X0))),
inference(superposition,[],[f4,f6979]) ).
fof(f4,plain,
sP0(multiply(inverse(b1),b1)),
inference(inequality_splitting,[],[f2,f3]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP436-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 10:18:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15309)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15310)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15308)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (2999ds/401Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15306)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (2999ds/107Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15304)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (2999ds/125345Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15307)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.20/0.42 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15305)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (2999ds/224446Mi)
% 0.20/0.48 % (15306)Instruction limit reached!
% 0.20/0.48 % (15306)------------------------------
% 0.20/0.48 % (15306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (15306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (15306)Termination reason: Time limit
% 0.20/0.48 % (15306)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (15306)Memory used [KB]: 1962
% 0.20/0.48 % (15306)Time elapsed: 0.061 s
% 0.20/0.48 % (15306)Instructions burned: 109 (million)
% 0.20/0.49 % (15307)Instruction limit reached!
% 0.20/0.49 % (15307)------------------------------
% 0.20/0.49 % (15307)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (15307)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (15307)Termination reason: Time limit
% 0.20/0.49 % (15307)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (15307)Memory used [KB]: 2167
% 0.20/0.49 % (15307)Time elapsed: 0.073 s
% 0.20/0.49 % (15307)Instructions burned: 140 (million)
% 0.20/0.51 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (15311)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.20/0.52 % (15310)Instruction limit reached!
% 0.20/0.52 % (15310)------------------------------
% 0.20/0.52 % (15310)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (15310)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (15310)Termination reason: Time limit
% 0.20/0.52 % (15310)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15310)Memory used [KB]: 4572
% 0.20/0.52 % (15310)Time elapsed: 0.105 s
% 0.20/0.52 % (15310)Instructions burned: 314 (million)
% 0.20/0.52 % (15303)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (15312)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 1.40/0.56 % (15303)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.56 % (15313)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 1.40/0.56 % (15308)Instruction limit reached!
% 1.40/0.56 % (15308)------------------------------
% 1.40/0.56 % (15308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.56 % (15308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.56 % (15308)Termination reason: Time limit
% 1.40/0.56 % (15308)Termination phase: Saturation
% 1.40/0.56
% 1.40/0.56 % (15308)Memory used [KB]: 4779
% 1.40/0.56 % (15308)Time elapsed: 0.142 s
% 1.40/0.56 % (15308)Instructions burned: 403 (million)
% 1.55/0.59 % (15303)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.59 % (15314)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2998ds/1826Mi)
% 1.94/0.64 % (15313)Instruction limit reached!
% 1.94/0.64 % (15313)------------------------------
% 1.94/0.64 % (15313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.94/0.64 % (15313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.94/0.64 % (15313)Termination reason: Time limit
% 1.94/0.64 % (15313)Termination phase: Saturation
% 1.94/0.64
% 1.94/0.64 % (15313)Memory used [KB]: 5836
% 1.94/0.64 % (15313)Time elapsed: 0.089 s
% 1.94/0.64 % (15313)Instructions burned: 283 (million)
% 2.15/0.68 % (15303)Running in auto input_syntax mode. Trying TPTP
% 2.15/0.68 % (15315)dis+10_1:1024_slsqr=7,2:to=lpo:sil=256000:tgt=full:s2agt=8:slsqc=1:slsq=on:s2a=on:i=807:rawr=on_0 on theBenchmark for (2997ds/807Mi)
% 2.47/0.74 % (15309)Instruction limit reached!
% 2.47/0.74 % (15309)------------------------------
% 2.47/0.74 % (15309)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.47/0.74 % (15309)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.47/0.74 % (15309)Termination reason: Time limit
% 2.47/0.74 % (15309)Termination phase: Saturation
% 2.47/0.74
% 2.47/0.74 % (15309)Memory used [KB]: 10006
% 2.47/0.74 % (15309)Time elapsed: 0.330 s
% 2.47/0.74 % (15309)Instructions burned: 1124 (million)
% 2.65/0.78 % (15303)Running in auto input_syntax mode. Trying TPTP
% 2.65/0.78 % (15316)dis+10_1:14_bsr=unit_only:to=lpo:drc=encompass:sil=256000:tgt=ground:urr=on:slsq=on:i=519:awrs=converge:awrsf=50:rawr=on:fsr=off_0 on theBenchmark for (2996ds/519Mi)
% 2.91/0.84 % (15311)Instruction limit reached!
% 2.91/0.84 % (15311)------------------------------
% 2.91/0.84 % (15311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.91/0.84 % (15311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.91/0.84 % (15311)Termination reason: Time limit
% 2.91/0.84 % (15311)Termination phase: Saturation
% 2.91/0.84
% 2.91/0.84 % (15311)Memory used [KB]: 12868
% 2.91/0.84 % (15311)Time elapsed: 0.325 s
% 2.91/0.84 % (15311)Instructions burned: 1151 (million)
% 3.02/0.87 % (15303)Running in auto input_syntax mode. Trying TPTP
% 3.02/0.87 % (15317)lrs+10_1:1_to=lpo:drc=encompass:sil=8000:tgt=full:sp=const_frequency:i=525:lwlo=on:nwc=10.0_0 on theBenchmark for (2995ds/525Mi)
% 3.02/0.89 % (15314)First to succeed.
% 3.02/0.89 % (15314)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15303"
% 3.02/0.89 % (15303)Running in auto input_syntax mode. Trying TPTP
% 3.02/0.89 % (15314)Refutation found. Thanks to Tanya!
% 3.02/0.89 % SZS status Unsatisfiable for theBenchmark
% 3.02/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.02/0.89 % (15314)------------------------------
% 3.02/0.89 % (15314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.02/0.89 % (15314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.02/0.89 % (15314)Termination reason: Refutation
% 3.02/0.89
% 3.02/0.89 % (15314)Memory used [KB]: 4974
% 3.02/0.89 % (15314)Time elapsed: 0.300 s
% 3.02/0.89 % (15314)Instructions burned: 944 (million)
% 3.02/0.89 % (15314)------------------------------
% 3.02/0.89 % (15314)------------------------------
% 3.02/0.89 % (15303)Success in time 0.525 s
%------------------------------------------------------------------------------