TSTP Solution File: GRP503-1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP503-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 07:24:03 EDT 2024
% Result : Unsatisfiable 6.93s 1.39s
% Output : Refutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 4
% Syntax : Number of formulae : 106 ( 106 unt; 0 def)
% Number of atoms : 106 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 395 ( 395 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4398,plain,
$false,
inference(subsumption_resolution,[],[f4397,f5]) ).
fof(f5,plain,
~ sP0(a2),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f4397,plain,
sP0(a2),
inference(backward_demodulation,[],[f2942,f4391]) ).
fof(f4391,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f4390,f1954]) ).
fof(f1954,plain,
! [X2,X3] : double_divide(X2,double_divide(X3,X2)) = X3,
inference(backward_demodulation,[],[f1494,f1953]) ).
fof(f1953,plain,
! [X0,X1,X4] : double_divide(double_divide(X1,X4),double_divide(inverse(X1),double_divide(X0,inverse(X0)))) = X4,
inference(forward_demodulation,[],[f1819,f1759]) ).
fof(f1759,plain,
! [X2,X0,X1] : double_divide(X1,X2) = inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),
inference(backward_demodulation,[],[f1504,f1757]) ).
fof(f1757,plain,
! [X0,X4] : double_divide(inverse(X4),inverse(double_divide(X0,inverse(X0)))) = X4,
inference(forward_demodulation,[],[f1674,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,inverse(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),X3))),X2) = X3,
inference(superposition,[],[f354,f190]) ).
fof(f190,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0),X4))),X2) = X4,
inference(superposition,[],[f1,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f82,f1]) ).
fof(f82,plain,
! [X2,X3,X1,X6,X4] : double_divide(inverse(X4),inverse(double_divide(X6,double_divide(X3,X6)))) = double_divide(X2,double_divide(X3,inverse(double_divide(X4,double_divide(X1,double_divide(X2,X1)))))),
inference(superposition,[],[f49,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3)))) = double_divide(double_divide(X4,inverse(X2)),double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X1) = double_divide(double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),double_divide(inverse(X1),inverse(double_divide(X4,double_divide(inverse(X0),X4))))),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
! [X2,X3,X6,X5] : double_divide(inverse(X3),inverse(double_divide(X5,double_divide(X2,X5)))) = double_divide(inverse(X3),inverse(double_divide(X6,double_divide(X2,X6)))),
inference(superposition,[],[f7,f7]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f354,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3))),X0) = X3,
inference(superposition,[],[f233,f115]) ).
fof(f233,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),X3)))) = X2,
inference(superposition,[],[f115,f190]) ).
fof(f1674,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),inverse(double_divide(double_divide(X3,inverse(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1)),double_divide(X0,inverse(X0))))),X3))) = X4,
inference(superposition,[],[f233,f1467]) ).
fof(f1467,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,inverse(X1)),X0) = double_divide(double_divide(X2,inverse(X0)),X2),
inference(superposition,[],[f977,f1405]) ).
fof(f1405,plain,
! [X2,X0] : double_divide(X0,inverse(X0)) = double_divide(X2,inverse(X2)),
inference(superposition,[],[f354,f1002]) ).
fof(f1002,plain,
! [X2,X3,X1] : double_divide(inverse(X3),inverse(double_divide(double_divide(double_divide(X2,inverse(X1)),X2),X1))) = X3,
inference(superposition,[],[f479,f943]) ).
fof(f943,plain,
! [X2,X3,X4] : inverse(double_divide(X2,double_divide(X3,X2))) = double_divide(double_divide(X4,inverse(X3)),X4),
inference(forward_demodulation,[],[f916,f882]) ).
fof(f882,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),inverse(double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[],[f506,f190]) ).
fof(f506,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),inverse(double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[],[f223,f479]) ).
fof(f223,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),inverse(double_divide(X2,X3))),X2) = X3,
inference(superposition,[],[f190,f190]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X2,double_divide(X3,X2))) = double_divide(double_divide(X4,inverse(X3)),double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f1,f506]) ).
fof(f479,plain,
! [X2,X3,X7] : double_divide(inverse(X7),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3))) = X7,
inference(backward_demodulation,[],[f346,f455]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X4,inverse(X3)),double_divide(inverse(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3)))),inverse(double_divide(X5,double_divide(X4,X5))))) = X0,
inference(superposition,[],[f1,f354]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(inverse(X7),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),double_divide(double_divide(X4,inverse(X5)),double_divide(inverse(double_divide(X3,inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),X5)))),inverse(double_divide(X6,double_divide(X4,X6)))))))) = X7,
inference(superposition,[],[f233,f7]) ).
fof(f977,plain,
! [X2,X3,X1] : double_divide(double_divide(X3,inverse(X1)),X3) = double_divide(double_divide(X2,inverse(X1)),X2),
inference(superposition,[],[f943,f943]) ).
fof(f1504,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)) = double_divide(double_divide(inverse(X1),inverse(double_divide(X3,inverse(X3)))),X2),
inference(superposition,[],[f190,f1405]) ).
fof(f1819,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(X1,X4),inverse(double_divide(double_divide(X2,inverse(double_divide(inverse(X1),double_divide(X0,inverse(X0))))),X2))) = X4,
inference(backward_demodulation,[],[f1673,f1759]) ).
fof(f1673,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X1,X4))),X3)),inverse(double_divide(double_divide(X2,inverse(double_divide(inverse(X1),double_divide(X0,inverse(X0))))),X2))) = X4,
inference(superposition,[],[f115,f1467]) ).
fof(f1494,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(X3,X2)) = double_divide(double_divide(X0,X3),double_divide(inverse(X0),double_divide(X1,inverse(X1)))),
inference(superposition,[],[f624,f1405]) ).
fof(f624,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,[],[f567,f567]) ).
fof(f567,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)),
inference(superposition,[],[f252,f482]) ).
fof(f482,plain,
! [X2,X3,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X4,X3)))),X5))),
inference(backward_demodulation,[],[f334,f480]) ).
fof(f480,plain,
! [X2,X3,X4,X5] : double_divide(X5,double_divide(double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X4,inverse(X4)))),X3)),inverse(X2)),X5)) = X2,
inference(backward_demodulation,[],[f444,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(X3),inverse(X2)),X4) = double_divide(inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),X2)),inverse(double_divide(X3,X4))),
inference(superposition,[],[f190,f354]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X5,double_divide(inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),X2)),inverse(double_divide(double_divide(double_divide(X3,inverse(double_divide(X4,inverse(X4)))),X3),X5)))) = X2,
inference(superposition,[],[f354,f354]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X2),inverse(double_divide(X6,double_divide(double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X4,X3)))),X5))),X6)))),
inference(superposition,[],[f82,f223]) ).
fof(f252,plain,
! [X2,X3,X4] : double_divide(X4,double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,X3)),X4)))) = X3,
inference(forward_demodulation,[],[f249,f239]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),inverse(double_divide(X2,X3))) = double_divide(inverse(X4),inverse(double_divide(X5,double_divide(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,X2))),X1),X3))),X5)))),
inference(superposition,[],[f22,f190]) ).
fof(f249,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(inverse(X2),inverse(double_divide(X5,double_divide(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(double_divide(X2,X3))))),X1),X4))),X5))))) = X3,
inference(superposition,[],[f1,f190]) ).
fof(f4390,plain,
! [X3,X1] : inverse(double_divide(X3,double_divide(inverse(X1),X3))) = X1,
inference(forward_demodulation,[],[f4389,f4302]) ).
fof(f4302,plain,
! [X3,X4,X5] : double_divide(double_divide(X4,inverse(X5)),double_divide(X3,inverse(double_divide(X5,inverse(X4))))) = X3,
inference(forward_demodulation,[],[f4301,f1757]) ).
fof(f4301,plain,
! [X3,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,inverse(X1)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(X3,inverse(double_divide(X5,inverse(X4))))),
inference(forward_demodulation,[],[f4300,f2897]) ).
fof(f2897,plain,
! [X2,X4] : double_divide(double_divide(X2,X4),X2) = X4,
inference(backward_demodulation,[],[f2891,f2895]) ).
fof(f2895,plain,
! [X2,X0] : double_divide(X2,X0) = double_divide(inverse(inverse(X2)),inverse(inverse(X0))),
inference(backward_demodulation,[],[f2651,f2892]) ).
fof(f2892,plain,
! [X3,X0,X4] : double_divide(X0,X3) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X0)),X3))),
inference(backward_demodulation,[],[f2655,f2891]) ).
fof(f2655,plain,
! [X2,X3,X0,X4] : double_divide(X0,X3) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(inverse(inverse(X2)),inverse(inverse(X0))),X2))),X3))),
inference(backward_demodulation,[],[f547,f2651]) ).
fof(f547,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,X3) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))),X2))),X3))),
inference(superposition,[],[f482,f252]) ).
fof(f2651,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))) = double_divide(inverse(inverse(X2)),inverse(inverse(X0))),
inference(backward_demodulation,[],[f264,f2650]) ).
fof(f2650,plain,
! [X2,X3,X4] : double_divide(X2,double_divide(X3,inverse(double_divide(X4,X2)))) = double_divide(inverse(X4),inverse(X3)),
inference(forward_demodulation,[],[f1994,f1954]) ).
fof(f1994,plain,
! [X2,X3,X6,X4] : double_divide(inverse(X4),inverse(double_divide(X6,double_divide(X3,X6)))) = double_divide(X2,double_divide(X3,inverse(double_divide(X4,X2)))),
inference(backward_demodulation,[],[f82,f1954]) ).
fof(f264,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X0))) = double_divide(X3,double_divide(inverse(X0),inverse(double_divide(inverse(X2),X3)))),
inference(superposition,[],[f252,f252]) ).
fof(f2891,plain,
! [X2,X4] : double_divide(double_divide(inverse(inverse(X2)),inverse(inverse(X4))),X2) = X4,
inference(forward_demodulation,[],[f2812,f2651]) ).
fof(f2812,plain,
! [X2,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),X4))),X2) = X4,
inference(backward_demodulation,[],[f190,f2797]) ).
fof(f2797,plain,
! [X2,X0] : inverse(X0) = double_divide(double_divide(X2,inverse(X0)),X2),
inference(backward_demodulation,[],[f1467,f2793]) ).
fof(f2793,plain,
! [X2,X4] : inverse(X2) = double_divide(double_divide(X4,inverse(X4)),X2),
inference(backward_demodulation,[],[f1596,f2035]) ).
fof(f2035,plain,
! [X2,X0,X1,X4] : double_divide(X4,double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0),X4)))) = X2,
inference(backward_demodulation,[],[f179,f1954]) ).
fof(f179,plain,
! [X2,X0,X1,X4,X5] : double_divide(X4,double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0),double_divide(X5,double_divide(X4,X5)))))) = X2,
inference(superposition,[],[f115,f82]) ).
fof(f1596,plain,
! [X2,X3,X0,X1,X4] : double_divide(X3,double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X2)))),X1),X3)))) = double_divide(double_divide(X4,inverse(X4)),X2),
inference(superposition,[],[f1467,f190]) ).
fof(f4300,plain,
! [X2,X3,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(X3,inverse(double_divide(X5,inverse(X4))))),
inference(forward_demodulation,[],[f4299,f4110]) ).
fof(f4110,plain,
! [X2,X1,X4] : double_divide(inverse(double_divide(X4,X1)),X2) = double_divide(X4,inverse(double_divide(X1,X2))),
inference(backward_demodulation,[],[f2902,f4107]) ).
fof(f4107,plain,
! [X2,X4] : inverse(double_divide(X4,X2)) = double_divide(inverse(X2),inverse(X4)),
inference(forward_demodulation,[],[f4106,f2793]) ).
fof(f4106,plain,
! [X2,X1,X4] : double_divide(inverse(X2),inverse(X4)) = double_divide(double_divide(X1,inverse(X1)),double_divide(X4,X2)),
inference(forward_demodulation,[],[f4105,f1954]) ).
fof(f4105,plain,
! [X2,X0,X1,X4] : double_divide(inverse(X2),inverse(X4)) = double_divide(double_divide(X1,inverse(X1)),double_divide(X4,double_divide(X0,double_divide(X2,X0)))),
inference(forward_demodulation,[],[f4104,f1954]) ).
fof(f4104,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(X2),inverse(X4)) = double_divide(double_divide(X1,inverse(X1)),double_divide(X4,double_divide(double_divide(X5,double_divide(X0,X5)),double_divide(X2,X0)))),
inference(forward_demodulation,[],[f4103,f3226]) ).
fof(f3226,plain,
! [X3,X0] : double_divide(X3,X0) = double_divide(X3,inverse(inverse(X0))),
inference(forward_demodulation,[],[f3225,f1954]) ).
fof(f3225,plain,
! [X3,X0,X1] : double_divide(X3,X0) = double_divide(double_divide(X1,double_divide(X3,X1)),inverse(inverse(X0))),
inference(forward_demodulation,[],[f3224,f2819]) ).
fof(f2819,plain,
! [X2,X1] : double_divide(X1,X2) = inverse(inverse(double_divide(X1,X2))),
inference(backward_demodulation,[],[f1759,f2797]) ).
fof(f3224,plain,
! [X3,X0,X1] : double_divide(X3,X0) = double_divide(inverse(inverse(double_divide(X1,double_divide(X3,X1)))),inverse(inverse(X0))),
inference(forward_demodulation,[],[f2106,f1954]) ).
fof(f2106,plain,
! [X3,X0,X1,X4] : double_divide(X3,X0) = double_divide(inverse(inverse(double_divide(X1,double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(inverse(X0),X4)))),
inference(backward_demodulation,[],[f511,f1954]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] : double_divide(X3,X0) = double_divide(inverse(inverse(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X2)),X1)))),inverse(double_divide(X4,double_divide(inverse(X0),X4)))),
inference(superposition,[],[f82,f479]) ).
fof(f4103,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(X2),inverse(X4)) = double_divide(double_divide(X1,inverse(X1)),double_divide(X4,double_divide(double_divide(X5,double_divide(X0,X5)),inverse(inverse(double_divide(X2,X0)))))),
inference(forward_demodulation,[],[f2421,f3071]) ).
fof(f3071,plain,
! [X3,X6,X4] : double_divide(X3,double_divide(X6,inverse(X4))) = double_divide(inverse(double_divide(X3,X4)),inverse(X6)),
inference(forward_demodulation,[],[f3070,f2892]) ).
fof(f3070,plain,
! [X3,X0,X6,X4] : double_divide(X3,double_divide(X6,inverse(X4))) = double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X3)),X4)))),inverse(X6)),
inference(forward_demodulation,[],[f3069,f2897]) ).
fof(f3069,plain,
! [X3,X0,X1,X6,X4] : double_divide(X3,double_divide(X6,inverse(X4))) = double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,X3))),X1),X4)))),inverse(X6)),
inference(forward_demodulation,[],[f2056,f1954]) ).
fof(f2056,plain,
! [X3,X0,X1,X6,X4,X5] : double_divide(X3,double_divide(X6,inverse(X4))) = double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,X3))),X1),X4)))),inverse(double_divide(X5,double_divide(X6,X5)))),
inference(backward_demodulation,[],[f246,f1954]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,double_divide(X2,double_divide(X3,X2))))),X1),X4)))),inverse(double_divide(X5,double_divide(X6,X5)))) = double_divide(X3,double_divide(X6,inverse(X4))),
inference(superposition,[],[f82,f190]) ).
fof(f2421,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(X2),inverse(X4)) = double_divide(double_divide(X1,inverse(X1)),double_divide(inverse(double_divide(X4,inverse(double_divide(X2,X0)))),inverse(double_divide(X5,double_divide(X0,X5))))),
inference(backward_demodulation,[],[f1470,f1954]) ).
fof(f1470,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X4,X3)))) = double_divide(double_divide(X1,inverse(X1)),double_divide(inverse(double_divide(X4,inverse(double_divide(X2,X0)))),inverse(double_divide(X5,double_divide(X0,X5))))),
inference(superposition,[],[f7,f1405]) ).
fof(f2902,plain,
! [X2,X1,X4] : double_divide(double_divide(inverse(X1),inverse(X4)),X2) = double_divide(X4,inverse(double_divide(X1,X2))),
inference(forward_demodulation,[],[f2814,f2892]) ).
fof(f2814,plain,
! [X2,X3,X1,X4] : double_divide(double_divide(inverse(X1),inverse(X4)),X2) = double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),inverse(double_divide(X1,X2))))),
inference(backward_demodulation,[],[f291,f2797]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)))) = double_divide(double_divide(inverse(X1),inverse(X4)),X2),
inference(superposition,[],[f190,f252]) ).
fof(f4299,plain,
! [X2,X3,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(inverse(double_divide(X3,X5)),inverse(X4))),
inference(forward_demodulation,[],[f4298,f2819]) ).
fof(f4298,plain,
! [X2,X3,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),inverse(inverse(double_divide(inverse(double_divide(X3,X5)),inverse(X4))))),
inference(forward_demodulation,[],[f4297,f2793]) ).
fof(f4297,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(double_divide(X0,inverse(X0)),inverse(double_divide(inverse(double_divide(X3,X5)),inverse(X4))))),
inference(forward_demodulation,[],[f2452,f4110]) ).
fof(f2452,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(inverse(double_divide(double_divide(X0,inverse(X0)),inverse(double_divide(X3,X5)))),inverse(X4))),
inference(backward_demodulation,[],[f1632,f1954]) ).
fof(f1632,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))) = double_divide(double_divide(X4,inverse(X5)),double_divide(inverse(double_divide(double_divide(X0,inverse(X0)),inverse(double_divide(X3,X5)))),inverse(double_divide(X6,double_divide(X4,X6))))),
inference(superposition,[],[f7,f1467]) ).
fof(f4389,plain,
! [X2,X3,X1,X4] : inverse(double_divide(X3,double_divide(inverse(X1),X3))) = double_divide(double_divide(X4,inverse(X2)),double_divide(X1,inverse(double_divide(X2,inverse(X4))))),
inference(forward_demodulation,[],[f2472,f4110]) ).
fof(f2472,plain,
! [X2,X3,X1,X4] : inverse(double_divide(X3,double_divide(inverse(X1),X3))) = double_divide(double_divide(X4,inverse(X2)),double_divide(inverse(double_divide(X1,X2)),inverse(X4))),
inference(backward_demodulation,[],[f1782,f1954]) ).
fof(f1782,plain,
! [X2,X3,X1,X4,X5] : inverse(double_divide(X3,double_divide(inverse(X1),X3))) = double_divide(double_divide(X4,inverse(X2)),double_divide(inverse(double_divide(X1,X2)),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(backward_demodulation,[],[f196,f1759]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X3,double_divide(inverse(X1),X3))) = double_divide(double_divide(X4,inverse(X2)),double_divide(inverse(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0))),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f1,f115]) ).
fof(f2942,plain,
sP0(inverse(inverse(a2))),
inference(backward_demodulation,[],[f1475,f2939]) ).
fof(f2939,plain,
! [X2,X1] : inverse(X2) = double_divide(X2,inverse(double_divide(X1,inverse(X1)))),
inference(forward_demodulation,[],[f2938,f2897]) ).
fof(f2938,plain,
! [X2,X1,X4] : double_divide(double_divide(X4,inverse(X2)),X4) = double_divide(X2,inverse(double_divide(X1,inverse(X1)))),
inference(forward_demodulation,[],[f2837,f2897]) ).
fof(f2837,plain,
! [X2,X3,X1,X4] : double_divide(double_divide(X4,double_divide(double_divide(X3,inverse(X2)),X3)),X4) = double_divide(X2,inverse(double_divide(X1,inverse(X1)))),
inference(backward_demodulation,[],[f1015,f2797]) ).
fof(f1015,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)) = double_divide(double_divide(X4,double_divide(double_divide(X3,inverse(X2)),X3)),X4),
inference(superposition,[],[f354,f943]) ).
fof(f1475,plain,
! [X0] : sP0(inverse(double_divide(a2,inverse(double_divide(X0,inverse(X0)))))),
inference(superposition,[],[f6,f1405]) ).
fof(f6,plain,
sP0(inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))),
inference(inequality_splitting,[],[f4,f5]) ).
fof(f4,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP503-1 : TPTP v8.2.0. Released v2.6.0.
% 0.05/0.09 % Command : run_vampire %s %d SAT
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Jun 20 13:30:54 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.31 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.31 Running first-order model finding
% 0.16/0.31 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.37 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (25071)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.17/0.37 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (25069)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.17/0.37 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (25074)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.17/0.37 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (25072)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.17/0.38 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (25068)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.17/0.39 TRYING [10]
% 0.17/0.40 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (25070)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (25073)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.17/0.41 TRYING [3]
% 0.17/0.42 TRYING [4]
% 0.17/0.42 % (25074)Instruction limit reached!
% 0.17/0.42 % (25074)------------------------------
% 0.17/0.42 % (25074)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.42 % (25074)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.42 % (25074)Termination reason: Time limit
% 0.17/0.42 % (25074)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (25074)Memory used [KB]: 1874
% 0.17/0.42 % (25074)Time elapsed: 0.053 s
% 0.17/0.42 % (25074)Instructions burned: 117 (million)
% 0.17/0.43 % (25072)Instruction limit reached!
% 0.17/0.43 % (25072)------------------------------
% 0.17/0.43 % (25072)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.43 % (25072)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.43 % (25072)Termination reason: Time limit
% 0.17/0.43 % (25072)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (25072)Memory used [KB]: 2357
% 0.17/0.43 % (25072)Time elapsed: 0.053 s
% 0.17/0.43 % (25072)Instructions burned: 105 (million)
% 0.17/0.48 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.48 % (25075)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.17/0.49 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.49 % (25076)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.17/0.49 % (25073)Instruction limit reached!
% 0.17/0.49 % (25073)------------------------------
% 0.17/0.49 % (25073)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.49 % (25073)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.49 % (25073)Termination reason: Time limit
% 0.17/0.49 % (25073)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (25073)Memory used [KB]: 2580
% 0.17/0.49 % (25073)Time elapsed: 0.114 s
% 0.17/0.49 % (25073)Instructions burned: 146 (million)
% 0.17/0.51 TRYING [23]
% 0.17/0.55 % (25067)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.55 % (25077)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.73/0.59 % (25076)Instruction limit reached!
% 1.73/0.59 % (25076)------------------------------
% 1.73/0.59 % (25076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.73/0.59 % (25076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.73/0.59 % (25076)Termination reason: Time limit
% 1.73/0.59 % (25076)Termination phase: Saturation
% 1.73/0.59
% 1.73/0.59 % (25076)Memory used [KB]: 2128
% 1.73/0.59 % (25076)Time elapsed: 0.088 s
% 1.73/0.59 % (25076)Instructions burned: 175 (million)
% 2.12/0.65 % (25067)Running in auto input_syntax mode. Trying TPTP
% 2.12/0.65 % (25078)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.12/0.66 % (25075)Instruction limit reached!
% 2.12/0.66 % (25075)------------------------------
% 2.12/0.66 % (25075)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.12/0.66 % (25075)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.12/0.66 % (25075)Termination reason: Time limit
% 2.12/0.66 % (25075)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (25075)Memory used [KB]: 3734
% 2.12/0.66 % (25075)Time elapsed: 0.180 s
% 2.12/0.66 % (25075)Instructions burned: 406 (million)
% 2.30/0.69 % (25077)Instruction limit reached!
% 2.30/0.69 % (25077)------------------------------
% 2.30/0.69 % (25077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.69 % (25077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.69 % (25077)Termination reason: Time limit
% 2.30/0.69 % (25077)Termination phase: Saturation
% 2.30/0.69
% 2.30/0.69 % (25077)Memory used [KB]: 4206
% 2.30/0.69 % (25077)Time elapsed: 0.140 s
% 2.30/0.69 % (25077)Instructions burned: 270 (million)
% 2.60/0.73 % (25067)Running in auto input_syntax mode. Trying TPTP
% 2.60/0.73 % (25079)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.60/0.73 TRYING [1]
% 2.60/0.73 TRYING [2]
% 2.60/0.73 TRYING [3]
% 2.60/0.74 TRYING [4]
% 2.73/0.76 TRYING [5]
% 2.73/0.77 % (25067)Running in auto input_syntax mode. Trying TPTP
% 2.73/0.77 % (25080)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 3.79/1.07 % (25078)Instruction limit reached!
% 3.79/1.07 % (25078)------------------------------
% 3.79/1.07 % (25078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.79/1.07 % (25078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.79/1.07 % (25078)Termination reason: Time limit
% 3.79/1.07 % (25078)Termination phase: Saturation
% 3.79/1.07
% 3.79/1.07 % (25078)Memory used [KB]: 10862
% 3.79/1.07 % (25078)Time elapsed: 0.421 s
% 3.79/1.07 % (25078)Instructions burned: 900 (million)
% 5.20/1.13 % (25067)Running in auto input_syntax mode. Trying TPTP
% 5.20/1.13 % (25081)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 6.22/1.27 TRYING [5]
% 6.93/1.38 % (25081)First to succeed.
% 6.93/1.38 % (25081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25067"
% 6.93/1.39 % (25067)Running in auto input_syntax mode. Trying TPTP
% 6.93/1.39 % (25081)Refutation found. Thanks to Tanya!
% 6.93/1.39 % SZS status Unsatisfiable for theBenchmark
% 6.93/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 6.93/1.39 % (25081)------------------------------
% 6.93/1.39 % (25081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.93/1.39 % (25081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.93/1.39 % (25081)Termination reason: Refutation
% 6.93/1.39
% 6.93/1.39 % (25081)Memory used [KB]: 4259
% 6.93/1.39 % (25081)Time elapsed: 0.260 s
% 6.93/1.39 % (25081)Instructions burned: 625 (million)
% 6.93/1.39 % (25081)------------------------------
% 6.93/1.39 % (25081)------------------------------
% 6.93/1.39 % (25067)Success in time 1.065 s
%------------------------------------------------------------------------------