TSTP Solution File: GRP503-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP503-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 06:09:18 EDT 2024
% Result : Unsatisfiable 38.32s 5.84s
% Output : Refutation 38.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 3
% Syntax : Number of formulae : 144 ( 144 unt; 0 def)
% Number of atoms : 144 ( 143 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 19 ( 19 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 12 ( 2 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 : 617 ( 617 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145345,plain,
$false,
inference(subsumption_resolution,[],[f145344,f24411]) ).
fof(f24411,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(inverse(multiply(X0,double_divide(X0,multiply(inverse(X1),X1)))),multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f24071,f8955]) ).
fof(f8955,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(multiply(X0,double_divide(X0,multiply(inverse(X1),X1)))),multiply(X3,X2)),X2) = X3,
inference(superposition,[],[f7186,f7553]) ).
fof(f7553,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(multiply(X2,double_divide(X2,multiply(inverse(X0),X0))),multiply(X3,X1)),X1) = X3,
inference(forward_demodulation,[],[f7363,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f7363,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X2,multiply(inverse(X0),X0)),X2)),multiply(X3,X1)),X1) = X3,
inference(superposition,[],[f7186,f7186]) ).
fof(f7186,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X2),multiply(X3,double_divide(double_divide(X0,multiply(X1,X2)),X0))),X1) = X3,
inference(superposition,[],[f5163,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,multiply(X2,X1)),double_divide(inverse(X1),multiply(double_divide(X0,X3),X3))) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),multiply(double_divide(X0,X3),X3))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f5163,plain,
! [X2,X3,X1,X4,X5] : double_divide(double_divide(X4,multiply(X5,X2)),double_divide(X1,double_divide(X4,multiply(double_divide(X3,double_divide(X1,X3)),X2)))) = X5,
inference(forward_demodulation,[],[f5162,f2828]) ).
fof(f2828,plain,
! [X2,X0,X1,X8,X7,X4] : double_divide(X0,double_divide(X1,X2)) = double_divide(double_divide(X7,multiply(double_divide(X0,X4),X4)),double_divide(multiply(X2,X1),multiply(double_divide(X7,X8),X8))),
inference(forward_demodulation,[],[f2683,f5]) ).
fof(f2683,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : double_divide(X0,double_divide(X1,X2)) = double_divide(double_divide(X7,double_divide(double_divide(X3,multiply(multiply(double_divide(X0,X4),X4),inverse(X5))),double_divide(inverse(inverse(X5)),multiply(double_divide(X3,X6),X6)))),double_divide(multiply(X2,X1),multiply(double_divide(X7,X8),X8))),
inference(superposition,[],[f6,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(double_divide(X0,X1),X1) = double_divide(double_divide(X4,multiply(multiply(double_divide(X0,X3),X3),inverse(X2))),double_divide(inverse(inverse(X2)),multiply(double_divide(X4,X5),X5))),
inference(forward_demodulation,[],[f207,f2]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(double_divide(X0,X1),X1) = double_divide(double_divide(X4,inverse(double_divide(inverse(X2),multiply(double_divide(X0,X3),X3)))),double_divide(inverse(inverse(X2)),multiply(double_divide(X4,X5),X5))),
inference(superposition,[],[f5,f150]) ).
fof(f150,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X1,X2),X2),inverse(X0)) = inverse(double_divide(inverse(X0),multiply(double_divide(X1,X3),X3))),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
! [X2,X3,X6,X5] : double_divide(inverse(X2),multiply(double_divide(X3,X5),X5)) = double_divide(inverse(X2),multiply(double_divide(X3,X6),X6)),
inference(superposition,[],[f14,f14]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(double_divide(X4,inverse(X3)),double_divide(multiply(multiply(X3,X0),X1),multiply(double_divide(X4,X5),X5))),
inference(forward_demodulation,[],[f12,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(double_divide(X4,inverse(X3)),double_divide(inverse(double_divide(X1,multiply(X3,X0))),multiply(double_divide(X4,X5),X5))),
inference(superposition,[],[f5,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(double_divide(inverse(X2),multiply(double_divide(X0,X3),X3)),double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f2,f5]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(X2,multiply(X3,double_divide(X0,X1))),double_divide(multiply(X1,X0),multiply(double_divide(X2,X4),X4))) = X3,
inference(superposition,[],[f5,f2]) ).
fof(f5162,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(double_divide(X4,multiply(X5,X2)),double_divide(double_divide(X6,multiply(double_divide(X1,X0),X0)),double_divide(multiply(multiply(double_divide(X3,double_divide(X1,X3)),X2),X4),multiply(double_divide(X6,X7),X7)))) = X5,
inference(forward_demodulation,[],[f5161,f2]) ).
fof(f5161,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(double_divide(X4,multiply(X5,X2)),double_divide(double_divide(X6,inverse(double_divide(X0,double_divide(X1,X0)))),double_divide(multiply(multiply(double_divide(X3,double_divide(X1,X3)),X2),X4),multiply(double_divide(X6,X7),X7)))) = X5,
inference(forward_demodulation,[],[f5009,f2]) ).
fof(f5009,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(double_divide(X4,multiply(X5,X2)),double_divide(double_divide(X6,inverse(double_divide(X0,double_divide(X1,X0)))),double_divide(multiply(inverse(double_divide(X2,double_divide(X3,double_divide(X1,X3)))),X4),multiply(double_divide(X6,X7),X7)))) = X5,
inference(superposition,[],[f90,f4717]) ).
fof(f4717,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,double_divide(X2,X1)),X0) = inverse(double_divide(X0,double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f2,f4592]) ).
fof(f4592,plain,
! [X2,X3,X1,X4] : double_divide(X1,double_divide(X2,double_divide(X3,X2))) = double_divide(X1,double_divide(X4,double_divide(X3,X4))),
inference(superposition,[],[f2791,f149]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X1,double_divide(X2,X3)) = double_divide(double_divide(inverse(X0),multiply(double_divide(X1,X4),X4)),double_divide(multiply(X3,X2),multiply(double_divide(inverse(X0),X5),X5))),
inference(superposition,[],[f6,f87]) ).
fof(f2791,plain,
! [X3,X0,X1,X8,X6,X7] : double_divide(double_divide(X6,multiply(X7,double_divide(X1,double_divide(X0,X1)))),double_divide(multiply(double_divide(X0,X3),X3),multiply(double_divide(X6,X8),X8))) = X7,
inference(forward_demodulation,[],[f2655,f5]) ).
fof(f2655,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : double_divide(double_divide(X6,multiply(X7,double_divide(X1,double_divide(X0,X1)))),double_divide(double_divide(double_divide(X2,multiply(multiply(double_divide(X0,X3),X3),inverse(X4))),double_divide(inverse(inverse(X4)),multiply(double_divide(X2,X5),X5))),multiply(double_divide(X6,X8),X8))) = X7,
inference(superposition,[],[f6,f224]) ).
fof(f90,plain,
! [X3,X0,X1,X6,X4,X5] : double_divide(double_divide(X1,multiply(X6,X0)),double_divide(double_divide(X3,inverse(X4)),double_divide(multiply(multiply(X4,X0),X1),multiply(double_divide(X3,X5),X5)))) = X6,
inference(superposition,[],[f5,f14]) ).
fof(f24071,plain,
! [X2,X3,X1] : double_divide(double_divide(X3,X2),multiply(X3,multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f7553,f19949]) ).
fof(f19949,plain,
! [X2,X3,X1,X4] : double_divide(X1,X4) = double_divide(multiply(X2,double_divide(X2,X3)),multiply(X4,multiply(X1,X3))),
inference(forward_demodulation,[],[f19948,f7611]) ).
fof(f7611,plain,
! [X3,X1,X4,X5] : double_divide(X3,X5) = double_divide(X1,double_divide(inverse(X5),multiply(X1,multiply(double_divide(X3,X4),X4)))),
inference(forward_demodulation,[],[f7521,f7423]) ).
fof(f7423,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),multiply(X1,X3)) = double_divide(inverse(X4),multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X5),X5)),
inference(superposition,[],[f87,f7186]) ).
fof(f7521,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X3,X5) = double_divide(X1,double_divide(inverse(X5),multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(multiply(double_divide(X3,X4),X4),X0)),X2))),X6),X6))),
inference(superposition,[],[f2790,f7186]) ).
fof(f2790,plain,
! [X3,X0,X1,X6,X7] : double_divide(X0,X1) = double_divide(double_divide(X6,multiply(double_divide(X0,X3),X3)),double_divide(inverse(X1),multiply(double_divide(X6,X7),X7))),
inference(forward_demodulation,[],[f2654,f5]) ).
fof(f2654,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(X0,X1) = double_divide(double_divide(X6,double_divide(double_divide(X2,multiply(multiply(double_divide(X0,X3),X3),inverse(X4))),double_divide(inverse(inverse(X4)),multiply(double_divide(X2,X5),X5)))),double_divide(inverse(X1),multiply(double_divide(X6,X7),X7))),
inference(superposition,[],[f5,f224]) ).
fof(f19948,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X5,double_divide(inverse(X4),multiply(X5,multiply(double_divide(X1,X0),X0)))) = double_divide(multiply(X2,double_divide(X2,X3)),multiply(X4,multiply(X1,X3))),
inference(forward_demodulation,[],[f19947,f2]) ).
fof(f19947,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X5,double_divide(inverse(X4),multiply(X5,inverse(double_divide(X0,double_divide(X1,X0)))))) = double_divide(multiply(X2,double_divide(X2,X3)),multiply(X4,multiply(X1,X3))),
inference(forward_demodulation,[],[f19891,f2]) ).
fof(f19891,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X5,double_divide(inverse(X4),multiply(X5,inverse(double_divide(X0,double_divide(X1,X0)))))) = double_divide(inverse(double_divide(double_divide(X2,X3),X2)),multiply(X4,multiply(X1,X3))),
inference(superposition,[],[f8298,f17957]) ).
fof(f17957,plain,
! [X3,X0,X1,X4] : multiply(X3,X1) = multiply(double_divide(X4,double_divide(X3,X4)),double_divide(double_divide(X0,X1),X0)),
inference(forward_demodulation,[],[f17794,f2]) ).
fof(f17794,plain,
! [X3,X0,X1,X4] : inverse(double_divide(X1,X3)) = multiply(double_divide(X4,double_divide(X3,X4)),double_divide(double_divide(X0,X1),X0)),
inference(superposition,[],[f4717,f17045]) ).
fof(f17045,plain,
! [X2,X3,X0,X1] : double_divide(X1,X2) = double_divide(double_divide(double_divide(X0,X1),X0),double_divide(X3,double_divide(X2,X3))),
inference(superposition,[],[f16501,f15952]) ).
fof(f15952,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X3),double_divide(X0,double_divide(X2,double_divide(X1,X2)))) = X3,
inference(superposition,[],[f15383,f14458]) ).
fof(f14458,plain,
! [X0,X1,X4] : double_divide(X0,double_divide(X1,X0)) = double_divide(X4,double_divide(X1,X4)),
inference(forward_demodulation,[],[f14457,f7784]) ).
fof(f7784,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,X1) = double_divide(X4,double_divide(inverse(X1),multiply(X4,multiply(double_divide(X3,double_divide(X2,X3)),double_divide(X2,X0))))),
inference(forward_demodulation,[],[f7627,f2]) ).
fof(f7627,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,X1) = double_divide(X4,double_divide(inverse(X1),multiply(X4,inverse(double_divide(double_divide(X2,X0),double_divide(X3,double_divide(X2,X3))))))),
inference(superposition,[],[f7563,f4888]) ).
fof(f4888,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X0,X2),X2) = inverse(double_divide(double_divide(X1,X0),double_divide(X3,double_divide(X1,X3)))),
inference(superposition,[],[f4717,f2601]) ).
fof(f2601,plain,
! [X1,X6,X5] : multiply(double_divide(X1,X5),X5) = multiply(double_divide(X1,X6),X6),
inference(superposition,[],[f224,f224]) ).
fof(f7563,plain,
! [X3,X1,X4] : double_divide(X1,double_divide(inverse(X4),multiply(X1,multiply(X3,X4)))) = X3,
inference(forward_demodulation,[],[f7562,f7558]) ).
fof(f7558,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X3) = multiply(X1,double_divide(multiply(X2,double_divide(X2,multiply(X3,X0))),multiply(double_divide(inverse(X0),X4),X4))),
inference(forward_demodulation,[],[f7401,f2]) ).
fof(f7401,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X3) = multiply(X1,double_divide(inverse(double_divide(double_divide(X2,multiply(X3,X0)),X2)),multiply(double_divide(inverse(X0),X4),X4))),
inference(superposition,[],[f2834,f7186]) ).
fof(f2834,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = multiply(double_divide(double_divide(X0,multiply(X1,X2)),X4),X4),
inference(superposition,[],[f2601,f5]) ).
fof(f7562,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X1,double_divide(inverse(X4),multiply(X1,double_divide(multiply(X2,double_divide(X2,multiply(multiply(X3,X4),X0))),multiply(double_divide(inverse(X0),X5),X5))))) = X3,
inference(forward_demodulation,[],[f7404,f2]) ).
fof(f7404,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X1,double_divide(inverse(X4),multiply(X1,double_divide(inverse(double_divide(double_divide(X2,multiply(multiply(X3,X4),X0)),X2)),multiply(double_divide(inverse(X0),X5),X5))))) = X3,
inference(superposition,[],[f7,f7186]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X4,X5)),double_divide(inverse(X5),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))))) = X4,
inference(superposition,[],[f5,f5]) ).
fof(f14457,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(X1,X0)) = double_divide(X4,double_divide(X5,double_divide(inverse(X4),multiply(X5,multiply(double_divide(X3,double_divide(X2,X3)),double_divide(X2,X1)))))),
inference(forward_demodulation,[],[f14286,f2]) ).
fof(f14286,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(X1,X0)) = double_divide(X4,double_divide(X5,double_divide(inverse(X4),multiply(X5,inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3)))))))),
inference(superposition,[],[f13827,f7843]) ).
fof(f7843,plain,
! [X2,X3,X0,X4] : inverse(double_divide(double_divide(X2,X0),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(X4,double_divide(X0,X4))),
inference(superposition,[],[f7588,f4888]) ).
fof(f7588,plain,
! [X3,X1,X4] : multiply(double_divide(X3,X4),X4) = inverse(double_divide(X1,double_divide(X3,X1))),
inference(forward_demodulation,[],[f7481,f7471]) ).
fof(f7471,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(X5,double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X5))) = double_divide(X4,double_divide(X3,X1)),
inference(superposition,[],[f4592,f7186]) ).
fof(f7481,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(double_divide(X3,X4),X4) = inverse(double_divide(X1,double_divide(X5,double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X5)))),
inference(superposition,[],[f4888,f7186]) ).
fof(f13827,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(X3,double_divide(inverse(X1),multiply(X3,inverse(X2))))) = X2,
inference(superposition,[],[f7563,f8298]) ).
fof(f15383,plain,
! [X2,X1,X4,X5] : double_divide(double_divide(X1,X2),double_divide(X4,double_divide(X1,double_divide(X5,double_divide(X4,X5))))) = X2,
inference(forward_demodulation,[],[f15246,f14116]) ).
fof(f14116,plain,
! [X2,X3,X1,X4] : double_divide(X1,X4) = double_divide(multiply(X2,X1),multiply(X4,multiply(double_divide(X2,X3),X3))),
inference(forward_demodulation,[],[f14115,f2]) ).
fof(f14115,plain,
! [X2,X3,X1,X4] : double_divide(X1,X4) = double_divide(inverse(double_divide(X1,X2)),multiply(X4,multiply(double_divide(X2,X3),X3))),
inference(forward_demodulation,[],[f14114,f2]) ).
fof(f14114,plain,
! [X2,X3,X1,X4] : double_divide(X1,X4) = double_divide(inverse(double_divide(X1,X2)),multiply(X4,inverse(double_divide(X3,double_divide(X2,X3))))),
inference(forward_demodulation,[],[f14113,f7611]) ).
fof(f14113,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(double_divide(X1,X2)),multiply(X4,inverse(double_divide(X3,double_divide(X2,X3))))) = double_divide(X5,double_divide(inverse(X4),multiply(X5,multiply(double_divide(X1,X0),X0)))),
inference(forward_demodulation,[],[f13665,f2]) ).
fof(f13665,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(double_divide(X1,X2)),multiply(X4,inverse(double_divide(X3,double_divide(X2,X3))))) = double_divide(X5,double_divide(inverse(X4),multiply(X5,inverse(double_divide(X0,double_divide(X1,X0)))))),
inference(superposition,[],[f8298,f7844]) ).
fof(f7844,plain,
! [X2,X3,X0,X4] : multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)) = inverse(double_divide(X4,double_divide(X0,X4))),
inference(superposition,[],[f7588,f5205]) ).
fof(f5205,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X0,X2),X2) = multiply(double_divide(X3,double_divide(X1,X3)),double_divide(X1,X0)),
inference(superposition,[],[f4924,f2601]) ).
fof(f4924,plain,
! [X2,X3,X0,X4] : multiply(double_divide(X3,double_divide(X2,X3)),X0) = multiply(double_divide(X4,double_divide(X2,X4)),X0),
inference(superposition,[],[f4717,f4717]) ).
fof(f15246,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X1,X2),double_divide(X4,double_divide(multiply(X0,X1),multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X0,X3),X3))))) = X2,
inference(superposition,[],[f5163,f14116]) ).
fof(f16501,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X1),X3),X2) = X3,
inference(superposition,[],[f15952,f15952]) ).
fof(f8298,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),multiply(X1,multiply(X2,X0))) = double_divide(X3,double_divide(inverse(X1),multiply(X3,inverse(X2)))),
inference(superposition,[],[f7563,f7561]) ).
fof(f7561,plain,
! [X3,X1,X4] : inverse(X3) = multiply(double_divide(inverse(X4),multiply(X1,multiply(X3,X4))),X1),
inference(forward_demodulation,[],[f7560,f7558]) ).
fof(f7560,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X3) = multiply(double_divide(inverse(X4),multiply(X1,double_divide(multiply(X2,double_divide(X2,multiply(multiply(X3,X4),X0))),multiply(double_divide(inverse(X0),X5),X5)))),X1),
inference(forward_demodulation,[],[f7403,f2]) ).
fof(f7403,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X3) = multiply(double_divide(inverse(X4),multiply(X1,double_divide(inverse(double_divide(double_divide(X2,multiply(multiply(X3,X4),X0)),X2)),multiply(double_divide(inverse(X0),X5),X5)))),X1),
inference(superposition,[],[f10,f7186]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X4) = multiply(double_divide(inverse(X5),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X3),X3)))),double_divide(double_divide(X0,multiply(X1,X2)),multiply(X4,X5))),
inference(superposition,[],[f8,f5]) ).
fof(f145344,plain,
! [X2,X0,X1] : a2 != multiply(a2,multiply(inverse(multiply(X2,double_divide(X2,multiply(inverse(X0),X0)))),multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f145242,f2]) ).
fof(f145242,plain,
! [X2,X0,X1] : a2 != multiply(a2,multiply(inverse(multiply(X2,double_divide(X2,multiply(inverse(X0),X0)))),inverse(double_divide(X1,inverse(X1))))),
inference(superposition,[],[f137459,f47054]) ).
fof(f47054,plain,
! [X2,X1] : inverse(multiply(inverse(X2),X2)) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f46559,f43606]) ).
fof(f43606,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f2,f42075]) ).
fof(f42075,plain,
! [X2,X3] : double_divide(X3,inverse(X3)) = double_divide(X2,inverse(X2)),
inference(forward_demodulation,[],[f41949,f41943]) ).
fof(f41943,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(multiply(X0,double_divide(X0,X1)),double_divide(inverse(X2),inverse(X1))),
inference(superposition,[],[f7563,f40610]) ).
fof(f40610,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(X1,double_divide(X1,X2)),multiply(inverse(X0),X0)),
inference(superposition,[],[f2,f40404]) ).
fof(f40404,plain,
! [X2,X3,X1] : double_divide(multiply(inverse(X3),X3),multiply(X1,double_divide(X1,X2))) = X2,
inference(forward_demodulation,[],[f39980,f17618]) ).
fof(f17618,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,double_divide(X1,X2)) = multiply(double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X3),X4),X4),
inference(forward_demodulation,[],[f17516,f5]) ).
fof(f17516,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X3),X4),X4) = double_divide(double_divide(X5,multiply(multiply(X3,double_divide(X1,X2)),inverse(X6))),double_divide(inverse(inverse(X6)),multiply(double_divide(X5,X7),X7))),
inference(superposition,[],[f224,f16523]) ).
fof(f16523,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X3),double_divide(X1,X2)) = X3,
inference(superposition,[],[f15383,f15952]) ).
fof(f39980,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(inverse(X3),X3),multiply(double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X1),X4),X4)) = X2,
inference(superposition,[],[f15233,f16501]) ).
fof(f15233,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,multiply(inverse(X1),X1)),X2),multiply(double_divide(X0,X3),X3)) = X2,
inference(superposition,[],[f7553,f14116]) ).
fof(f41949,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(X2)) = double_divide(X3,double_divide(multiply(X0,double_divide(X0,X1)),double_divide(inverse(X3),inverse(X1)))),
inference(superposition,[],[f14282,f40610]) ).
fof(f14282,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = double_divide(X2,double_divide(X3,double_divide(inverse(X2),multiply(X3,multiply(X1,X0))))),
inference(superposition,[],[f13827,f2]) ).
fof(f46559,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f42088,f24070]) ).
fof(f24070,plain,
! [X2,X3,X1] : inverse(X2) = multiply(multiply(X3,multiply(inverse(X1),X1)),double_divide(X3,X2)),
inference(superposition,[],[f8965,f19949]) ).
fof(f8965,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X3,double_divide(multiply(X0,double_divide(X0,multiply(inverse(X1),X1))),multiply(X2,X3))),
inference(superposition,[],[f2,f7553]) ).
fof(f42088,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),double_divide(X0,X1)) = multiply(inverse(X2),X2),
inference(superposition,[],[f42074,f2]) ).
fof(f42074,plain,
! [X2,X3] : multiply(inverse(X3),X3) = multiply(inverse(X2),X2),
inference(forward_demodulation,[],[f41948,f41943]) ).
fof(f41948,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X2) = multiply(double_divide(multiply(X0,double_divide(X0,X1)),double_divide(inverse(X3),inverse(X1))),X3),
inference(superposition,[],[f14254,f40610]) ).
fof(f14254,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(double_divide(X3,double_divide(inverse(X1),multiply(X3,multiply(X0,X2)))),X1),
inference(forward_demodulation,[],[f13829,f2]) ).
fof(f13829,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(double_divide(X3,double_divide(inverse(X1),multiply(X3,inverse(double_divide(X2,X0))))),X1),
inference(superposition,[],[f7610,f8298]) ).
fof(f7610,plain,
! [X3,X1,X4,X5] : multiply(X5,X3) = multiply(double_divide(inverse(X5),multiply(X1,multiply(double_divide(X3,X4),X4))),X1),
inference(forward_demodulation,[],[f7520,f7423]) ).
fof(f7520,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,X3) = multiply(double_divide(inverse(X5),multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(multiply(double_divide(X3,X4),X4),X0)),X2))),X6),X6)),X1),
inference(superposition,[],[f2795,f7186]) ).
fof(f2795,plain,
! [X3,X0,X1,X6,X7] : multiply(X1,X0) = multiply(double_divide(inverse(X1),multiply(double_divide(X6,X7),X7)),double_divide(X6,multiply(double_divide(X0,X3),X3))),
inference(forward_demodulation,[],[f2794,f2]) ).
fof(f2794,plain,
! [X3,X0,X1,X6,X7] : inverse(double_divide(X0,X1)) = multiply(double_divide(inverse(X1),multiply(double_divide(X6,X7),X7)),double_divide(X6,multiply(double_divide(X0,X3),X3))),
inference(forward_demodulation,[],[f2658,f5]) ).
fof(f2658,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(double_divide(X0,X1)) = multiply(double_divide(inverse(X1),multiply(double_divide(X6,X7),X7)),double_divide(X6,double_divide(double_divide(X2,multiply(multiply(double_divide(X0,X3),X3),inverse(X4))),double_divide(inverse(inverse(X4)),multiply(double_divide(X2,X5),X5))))),
inference(superposition,[],[f8,f224]) ).
fof(f137459,plain,
! [X0,X1] : a2 != multiply(a2,multiply(inverse(multiply(X0,double_divide(X0,X1))),inverse(X1))),
inference(superposition,[],[f67082,f24269]) ).
fof(f24269,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(multiply(X2,multiply(X3,X1)),multiply(X0,double_divide(X0,X1))),
inference(forward_demodulation,[],[f24094,f2]) ).
fof(f24094,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,X2)) = multiply(multiply(X2,multiply(X3,X1)),multiply(X0,double_divide(X0,X1))),
inference(superposition,[],[f2,f19949]) ).
fof(f67082,plain,
! [X0,X1] : a2 != multiply(a2,multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X0)),
inference(superposition,[],[f59942,f24071]) ).
fof(f59942,plain,
! [X0,X1] : a2 != multiply(a2,double_divide(double_divide(inverse(X1),multiply(X0,X1)),X0)),
inference(forward_demodulation,[],[f59941,f2]) ).
fof(f59941,plain,
! [X0,X1] : a2 != multiply(a2,double_divide(double_divide(inverse(X1),inverse(double_divide(X1,X0))),X0)),
inference(forward_demodulation,[],[f59840,f24761]) ).
fof(f24761,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X2),inverse(X0)),X1) = multiply(double_divide(X0,multiply(X1,X2)),multiply(inverse(X3),X3)),
inference(superposition,[],[f7186,f24070]) ).
fof(f59840,plain,
! [X2,X0,X1] : a2 != multiply(a2,multiply(double_divide(double_divide(X1,X0),multiply(X0,X1)),multiply(inverse(X2),X2))),
inference(superposition,[],[f59372,f42088]) ).
fof(f59372,plain,
! [X0,X1] : a2 != multiply(a2,multiply(double_divide(X0,X1),multiply(X1,X0))),
inference(superposition,[],[f59338,f2]) ).
fof(f59338,plain,
! [X0] : a2 != multiply(a2,multiply(X0,inverse(X0))),
inference(superposition,[],[f52221,f28408]) ).
fof(f28408,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(multiply(X2,X3),multiply(X0,X1))) = X3,
inference(superposition,[],[f7608,f24269]) ).
fof(f7608,plain,
! [X3,X1,X4,X5] : double_divide(X1,double_divide(multiply(X5,X4),multiply(X1,multiply(X3,double_divide(X4,X5))))) = X3,
inference(forward_demodulation,[],[f7516,f7430]) ).
fof(f7430,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(multiply(X4,X5),multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X6),X6)) = double_divide(multiply(X4,X5),multiply(X1,X3)),
inference(superposition,[],[f129,f7186]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] : double_divide(multiply(X1,X0),multiply(double_divide(X2,X4),X4)) = double_divide(multiply(X1,X0),multiply(double_divide(X2,X3),X3)),
inference(superposition,[],[f87,f2]) ).
fof(f7516,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,double_divide(multiply(X5,X4),multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(multiply(X3,double_divide(X4,X5)),X0)),X2))),X6),X6))) = X3,
inference(superposition,[],[f6,f7186]) ).
fof(f52221,plain,
! [X0,X1] : a2 != multiply(a2,double_divide(X0,double_divide(X0,multiply(inverse(X1),X1)))),
inference(superposition,[],[f50738,f15233]) ).
fof(f50738,plain,
! [X0,X1] : a2 != multiply(a2,double_divide(double_divide(X0,X1),multiply(X1,X0))),
inference(superposition,[],[f50705,f2]) ).
fof(f50705,plain,
! [X0] : a2 != multiply(a2,double_divide(X0,inverse(X0))),
inference(superposition,[],[f50703,f42075]) ).
fof(f50703,plain,
! [X1] : a2 != multiply(X1,double_divide(X1,inverse(a2))),
inference(superposition,[],[f50114,f18114]) ).
fof(f18114,plain,
! [X2,X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(double_divide(double_divide(X2,X1),X2)),
inference(superposition,[],[f2,f17762]) ).
fof(f17762,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),X0) = double_divide(double_divide(X2,X1),X2),
inference(superposition,[],[f17045,f16523]) ).
fof(f50114,plain,
! [X0] : a2 != inverse(double_divide(double_divide(inverse(X0),inverse(a2)),inverse(X0))),
inference(forward_demodulation,[],[f50086,f16939]) ).
fof(f16939,plain,
! [X2,X3,X0,X5] : double_divide(X0,double_divide(X5,double_divide(multiply(X2,X3),X5))) = double_divide(double_divide(inverse(X3),inverse(X0)),X2),
inference(forward_demodulation,[],[f16731,f7374]) ).
fof(f7374,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X0),multiply(X1,double_divide(inverse(X2),multiply(double_divide(multiply(X3,X0),X4),X4)))) = double_divide(double_divide(inverse(X2),inverse(X3)),X1),
inference(superposition,[],[f7186,f10]) ).
fof(f16731,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),multiply(X2,double_divide(inverse(X3),multiply(double_divide(multiply(X0,X1),X4),X4)))) = double_divide(X0,double_divide(X5,double_divide(multiply(X2,X3),X5))),
inference(superposition,[],[f15963,f7]) ).
fof(f15963,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X3),double_divide(X2,double_divide(X1,X2))) = X3,
inference(superposition,[],[f15383,f14467]) ).
fof(f14467,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X4,double_divide(X1,X4)),
inference(forward_demodulation,[],[f14466,f7611]) ).
fof(f14466,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X4,double_divide(X5,double_divide(inverse(X4),multiply(X5,multiply(double_divide(X1,X3),X3))))),
inference(forward_demodulation,[],[f14293,f2]) ).
fof(f14293,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X4,double_divide(X5,double_divide(inverse(X4),multiply(X5,inverse(double_divide(X3,double_divide(X1,X3))))))),
inference(superposition,[],[f13827,f7843]) ).
fof(f50086,plain,
! [X0,X1] : a2 != inverse(double_divide(a2,double_divide(X1,double_divide(multiply(inverse(X0),X0),X1)))),
inference(superposition,[],[f49483,f4717]) ).
fof(f49483,plain,
! [X0,X1] : a2 != multiply(double_divide(X0,double_divide(X0,multiply(inverse(X1),X1))),a2),
inference(superposition,[],[f48005,f15233]) ).
fof(f48005,plain,
! [X0,X1] : a2 != multiply(double_divide(double_divide(X0,X1),multiply(X1,X0)),a2),
inference(superposition,[],[f47523,f2]) ).
fof(f47523,plain,
! [X0] : a2 != multiply(double_divide(X0,inverse(X0)),a2),
inference(superposition,[],[f3,f47441]) ).
fof(f47441,plain,
! [X2,X0] : multiply(inverse(X0),X0) = double_divide(X2,inverse(X2)),
inference(forward_demodulation,[],[f47333,f42207]) ).
fof(f42207,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(X2,double_divide(inverse(X0),multiply(X2,multiply(inverse(X1),X1)))),
inference(superposition,[],[f7563,f42074]) ).
fof(f47333,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = double_divide(X2,double_divide(X3,double_divide(inverse(X2),multiply(X3,multiply(inverse(X1),X1))))),
inference(superposition,[],[f13827,f46559]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP503-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16363)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16366)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16365)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (16364)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16367)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (16366)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (16369)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (16368)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_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (16370)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.21/0.45 TRYING [4]
% 1.82/0.62 TRYING [5]
% 7.65/1.47 TRYING [1]
% 7.65/1.47 TRYING [2]
% 7.65/1.48 TRYING [3]
% 8.03/1.49 TRYING [4]
% 9.74/1.77 TRYING [5]
% 34.85/5.37 TRYING [6]
% 38.07/5.81 % (16370)First to succeed.
% 38.32/5.83 % (16370)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16363"
% 38.32/5.84 % (16370)Refutation found. Thanks to Tanya!
% 38.32/5.84 % SZS status Unsatisfiable for theBenchmark
% 38.32/5.84 % SZS output start Proof for theBenchmark
% See solution above
% 38.32/5.84 % (16370)------------------------------
% 38.32/5.84 % (16370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 38.32/5.84 % (16370)Termination reason: Refutation
% 38.32/5.84
% 38.32/5.84 % (16370)Memory used [KB]: 70218
% 38.32/5.84 % (16370)Time elapsed: 5.458 s
% 38.32/5.84 % (16370)Instructions burned: 11233 (million)
% 38.32/5.84 % (16363)Success in time 5.44 s
%------------------------------------------------------------------------------