TSTP Solution File: GRP104-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP104-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 05:53:24 EDT 2024
% Result : Unsatisfiable 7.23s 1.41s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 198 ( 187 unt; 0 def)
% Number of atoms : 225 ( 224 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 40 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 553 ( 553 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27850,plain,
$false,
inference(trivial_inequality_removal,[],[f27845]) ).
fof(f27845,plain,
a2 != a2,
inference(superposition,[],[f27780,f3059]) ).
fof(f3059,plain,
! [X2,X0] : multiply(multiply(X0,inverse(X0)),X2) = X2,
inference(forward_demodulation,[],[f2982,f829]) ).
fof(f829,plain,
! [X2,X3] : multiply(double_divide(X2,inverse(X2)),X3) = X3,
inference(forward_demodulation,[],[f802,f584]) ).
fof(f584,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X0),X2),double_divide(X0,X1)) = X2,
inference(superposition,[],[f573,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f573,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f75,f51]) ).
fof(f51,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
inference(superposition,[],[f34,f47]) ).
fof(f47,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(X0),X1)),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
! [X2,X1] : double_divide(multiply(inverse(X2),X1),inverse(X1)) = X2,
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),X0),
inference(superposition,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,inverse(double_divide(double_divide(X0,X1),inverse(X2))))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f75,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = double_divide(inverse(X2),inverse(multiply(X1,X0))),
inference(superposition,[],[f57,f2]) ).
fof(f57,plain,
! [X0,X1] : multiply(inverse(X1),X0) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f51,f47]) ).
fof(f802,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,multiply(multiply(multiply(X1,X0),inverse(X2)),double_divide(X0,X1))),X3) = X3,
inference(superposition,[],[f744,f174]) ).
fof(f174,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(superposition,[],[f148,f2]) ).
fof(f148,plain,
! [X2,X0] : double_divide(X0,multiply(inverse(X0),inverse(X2))) = X2,
inference(backward_demodulation,[],[f5,f137]) ).
fof(f137,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),double_divide(X2,X0))) = multiply(inverse(X2),inverse(X1)),
inference(superposition,[],[f49,f8]) ).
fof(f49,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(inverse(X2),multiply(multiply(X1,X0),X2)),
inference(superposition,[],[f47,f2]) ).
fof(f744,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X0,X1),multiply(X1,X0)),X2) = X2,
inference(superposition,[],[f605,f174]) ).
fof(f605,plain,
! [X2,X3,X1] : double_divide(X2,multiply(X3,inverse(X1))) = multiply(double_divide(X2,X3),X1),
inference(backward_demodulation,[],[f14,f604]) ).
fof(f604,plain,
! [X2,X0,X1] : multiply(X2,X1) = double_divide(multiply(inverse(X1),double_divide(X2,X0)),X0),
inference(backward_demodulation,[],[f86,f599]) ).
fof(f599,plain,
! [X2,X1] : multiply(X1,X2) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[],[f75,f573]) ).
fof(f86,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X1),double_divide(X2,X0)),X0) = double_divide(inverse(X1),inverse(X2)),
inference(superposition,[],[f40,f8]) ).
fof(f40,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(multiply(X1,X0),X2),inverse(X2)),
inference(superposition,[],[f34,f2]) ).
fof(f14,plain,
! [X2,X3,X0,X1] : double_divide(multiply(inverse(X1),double_divide(double_divide(X2,X3),X0)),X0) = double_divide(X2,multiply(X3,inverse(X1))),
inference(superposition,[],[f6,f8]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = double_divide(X2,multiply(X3,multiply(multiply(X1,X0),double_divide(X2,X3)))),
inference(superposition,[],[f5,f2]) ).
fof(f2982,plain,
! [X2,X0,X1] : multiply(multiply(multiply(double_divide(X1,inverse(X1)),X0),inverse(X0)),X2) = X2,
inference(superposition,[],[f834,f906]) ).
fof(f906,plain,
! [X2,X1] : double_divide(inverse(X2),double_divide(X1,inverse(X1))) = X2,
inference(forward_demodulation,[],[f894,f852]) ).
fof(f852,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),double_divide(X0,inverse(X0))),
inference(superposition,[],[f598,f829]) ).
fof(f598,plain,
! [X2,X1] : inverse(X2) = multiply(inverse(multiply(X1,X2)),X1),
inference(superposition,[],[f66,f573]) ).
fof(f66,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(multiply(X1,X0),X2)),multiply(X1,X0)),
inference(superposition,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f47,f47]) ).
fof(f894,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X2),double_divide(X0,inverse(X0))),double_divide(X1,inverse(X1))) = X2,
inference(superposition,[],[f41,f850]) ).
fof(f850,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f596,f829]) ).
fof(f596,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X1,X2)) = X1,
inference(superposition,[],[f49,f573]) ).
fof(f41,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X2),double_divide(X0,X1)),multiply(X1,X0)) = X2,
inference(superposition,[],[f34,f2]) ).
fof(f834,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,double_divide(X0,X1)),X0),X2) = X2,
inference(forward_demodulation,[],[f833,f697]) ).
fof(f697,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X0,X1)) = double_divide(multiply(X1,X0),inverse(X2)),
inference(superposition,[],[f599,f2]) ).
fof(f833,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),inverse(X1)),X0),X2) = X2,
inference(forward_demodulation,[],[f806,f605]) ).
fof(f806,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X1,X0),multiply(inverse(X1),inverse(X0))),X2) = X2,
inference(superposition,[],[f744,f599]) ).
fof(f27780,plain,
a2 != multiply(multiply(b2,inverse(b2)),a2),
inference(equality_resolution,[],[f27746]) ).
fof(f27746,plain,
! [X0] :
( multiply(X0,inverse(X0)) != multiply(a1,inverse(a1))
| a2 != multiply(multiply(b2,inverse(b2)),a2) ),
inference(superposition,[],[f27201,f5070]) ).
fof(f5070,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f3350,f3059]) ).
fof(f3350,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(backward_demodulation,[],[f3139,f3341]) ).
fof(f3341,plain,
! [X2,X0] : inverse(X2) = multiply(double_divide(X0,X2),X0),
inference(backward_demodulation,[],[f3134,f3325]) ).
fof(f3325,plain,
! [X0,X1] : inverse(X1) = double_divide(X1,inverse(multiply(inverse(X0),X0))),
inference(backward_demodulation,[],[f995,f3314]) ).
fof(f3314,plain,
! [X2,X3,X1] : inverse(X1) = double_divide(double_divide(X2,X3),multiply(multiply(X3,X2),X1)),
inference(backward_demodulation,[],[f999,f3271]) ).
fof(f3271,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,multiply(inverse(X1),X1)),
inference(backward_demodulation,[],[f3087,f3210]) ).
fof(f3210,plain,
! [X2,X3] : multiply(inverse(X3),X2) = double_divide(X3,inverse(X2)),
inference(backward_demodulation,[],[f826,f3189]) ).
fof(f3189,plain,
! [X2,X0,X1] : inverse(X2) = double_divide(X2,double_divide(double_divide(X0,X1),multiply(X1,X0))),
inference(backward_demodulation,[],[f819,f3170]) ).
fof(f3170,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(inverse(X0),X1)),
inference(backward_demodulation,[],[f593,f3149]) ).
fof(f3149,plain,
! [X2,X1] : inverse(X1) = double_divide(multiply(X1,X2),inverse(X2)),
inference(backward_demodulation,[],[f846,f3087]) ).
fof(f846,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X2),inverse(X2)) = double_divide(X1,double_divide(X0,inverse(X0))),
inference(superposition,[],[f40,f829]) ).
fof(f593,plain,
! [X2,X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(multiply(X1,X2),inverse(X2)),
inference(superposition,[],[f40,f573]) ).
fof(f819,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(double_divide(X0,X1),multiply(X1,X0))) = double_divide(X3,multiply(inverse(X3),X2)),
inference(superposition,[],[f161,f744]) ).
fof(f161,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(X2,multiply(inverse(X2),multiply(X1,X0))),
inference(backward_demodulation,[],[f6,f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X1,X2),double_divide(X3,X0))) = multiply(inverse(X3),multiply(X1,X2)),
inference(superposition,[],[f49,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(multiply(X2,multiply(multiply(X1,X0),double_divide(X3,X2))),X3),
inference(superposition,[],[f8,f2]) ).
fof(f826,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X3,double_divide(double_divide(X0,X1),multiply(X1,X0))),X2) = double_divide(X3,inverse(X2)),
inference(superposition,[],[f605,f744]) ).
fof(f3087,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(X1,inverse(X1))),
inference(superposition,[],[f3020,f906]) ).
fof(f3020,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(superposition,[],[f834,f584]) ).
fof(f999,plain,
! [X2,X3,X0,X1] : double_divide(X1,multiply(inverse(X0),X0)) = double_divide(double_divide(X2,X3),multiply(multiply(X3,X2),X1)),
inference(superposition,[],[f188,f844]) ).
fof(f844,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f829,f599]) ).
fof(f188,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),multiply(X3,X2))),
inference(superposition,[],[f161,f2]) ).
fof(f995,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(multiply(inverse(X0),X0))) = double_divide(double_divide(X2,X3),multiply(multiply(X3,X2),X1)),
inference(superposition,[],[f188,f858]) ).
fof(f858,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f844,f642]) ).
fof(f642,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f598,f596]) ).
fof(f3134,plain,
! [X2,X0,X1] : double_divide(X2,inverse(multiply(inverse(X1),X1))) = multiply(double_divide(X0,X2),X0),
inference(backward_demodulation,[],[f1619,f3086]) ).
fof(f3086,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,inverse(inverse(X1))),
inference(superposition,[],[f3020,f592]) ).
fof(f592,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(inverse(X0))),X1) = X0,
inference(superposition,[],[f174,f573]) ).
fof(f1619,plain,
! [X2,X0,X1] : multiply(double_divide(X2,inverse(inverse(X0))),X0) = double_divide(X2,inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f605,f882]) ).
fof(f882,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f2,f850]) ).
fof(f3139,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(double_divide(X0,X1),X0))) = X2,
inference(backward_demodulation,[],[f2784,f3086]) ).
fof(f2784,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(double_divide(X1,inverse(inverse(X0))),X0))) = X2,
inference(forward_demodulation,[],[f2710,f764]) ).
fof(f764,plain,
! [X2,X0,X1] : double_divide(X2,inverse(multiply(X0,X1))) = multiply(double_divide(X2,inverse(X0)),X1),
inference(superposition,[],[f605,f642]) ).
fof(f2710,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,double_divide(X1,inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f606,f858]) ).
fof(f606,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),multiply(X2,double_divide(X0,X1))) = X2,
inference(superposition,[],[f596,f2]) ).
fof(f27201,plain,
( multiply(b1,inverse(b1)) != multiply(a1,inverse(a1))
| a2 != multiply(multiply(b2,inverse(b2)),a2) ),
inference(trivial_inequality_removal,[],[f27110]) ).
fof(f27110,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)) ),
inference(superposition,[],[f9766,f25930]) ).
fof(f25930,plain,
! [X0,X1,X4] : multiply(X4,multiply(X0,X1)) = multiply(X0,multiply(X4,X1)),
inference(forward_demodulation,[],[f25929,f3530]) ).
fof(f3530,plain,
! [X0,X1] : double_divide(X1,double_divide(X1,X0)) = X0,
inference(backward_demodulation,[],[f3088,f3505]) ).
fof(f3505,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[],[f3097,f3086]) ).
fof(f3097,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,inverse(inverse(X1))),
inference(superposition,[],[f3020,f657]) ).
fof(f657,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),inverse(inverse(X1))) = X0,
inference(superposition,[],[f597,f598]) ).
fof(f597,plain,
! [X2,X1] : double_divide(X1,inverse(multiply(X1,X2))) = X2,
inference(superposition,[],[f56,f573]) ).
fof(f56,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X0),inverse(multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[],[f51,f2]) ).
fof(f3088,plain,
! [X0,X1] : double_divide(X1,inverse(multiply(X0,X1))) = X0,
inference(superposition,[],[f3020,f597]) ).
fof(f25929,plain,
! [X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(X0,double_divide(X3,double_divide(X3,X1)))),
inference(forward_demodulation,[],[f25928,f25668]) ).
fof(f25668,plain,
! [X2,X3,X0,X1] : multiply(X2,double_divide(X1,double_divide(X3,X0))) = multiply(X2,double_divide(double_divide(X0,X3),X1)),
inference(forward_demodulation,[],[f25667,f4530]) ).
fof(f4530,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = multiply(X2,multiply(X0,inverse(X1))),
inference(superposition,[],[f3621,f4278]) ).
fof(f4278,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f3278,f596]) ).
fof(f3278,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(backward_demodulation,[],[f2547,f3210]) ).
fof(f2547,plain,
! [X0,X1] : multiply(X1,double_divide(X1,inverse(X0))) = X0,
inference(superposition,[],[f584,f573]) ).
fof(f3621,plain,
! [X2,X3,X1] : multiply(multiply(X3,inverse(X1)),X2) = double_divide(X1,double_divide(X2,X3)),
inference(backward_demodulation,[],[f24,f3515]) ).
fof(f3515,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),double_divide(X2,X0))) = double_divide(X1,X2),
inference(backward_demodulation,[],[f658,f3505]) ).
fof(f658,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),double_divide(X2,X0))) = inverse(multiply(X2,X1)),
inference(backward_demodulation,[],[f137,f642]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),double_divide(double_divide(X2,X3),X0))) = multiply(multiply(X3,inverse(X1)),X2),
inference(superposition,[],[f9,f8]) ).
fof(f25667,plain,
! [X2,X3,X0,X1] : multiply(X2,double_divide(double_divide(X0,X3),X1)) = multiply(X2,multiply(X3,multiply(X0,inverse(X1)))),
inference(forward_demodulation,[],[f25666,f25587]) ).
fof(f25587,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,double_divide(double_divide(X1,X3),X0)) = multiply(X4,multiply(X2,multiply(X3,multiply(double_divide(X4,X0),X1)))),
inference(forward_demodulation,[],[f25586,f5524]) ).
fof(f5524,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = multiply(X1,multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f5523,f3666]) ).
fof(f3666,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = multiply(multiply(inverse(X2),X0),X1),
inference(backward_demodulation,[],[f3407,f3540]) ).
fof(f3540,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),X2) = multiply(inverse(X2),multiply(X1,X0)),
inference(backward_demodulation,[],[f759,f3505]) ).
fof(f759,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,X0)) = inverse(multiply(X2,double_divide(X0,X1))),
inference(superposition,[],[f642,f2]) ).
fof(f3407,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X0,X1)) = multiply(multiply(inverse(X2),X0),X1),
inference(forward_demodulation,[],[f3272,f3210]) ).
fof(f3272,plain,
! [X2,X0,X1] : double_divide(X2,inverse(multiply(X0,X1))) = multiply(multiply(inverse(X2),X0),X1),
inference(backward_demodulation,[],[f764,f3210]) ).
fof(f5523,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),X2) = multiply(X1,multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f5407,f2]) ).
fof(f5407,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),X2) = inverse(double_divide(multiply(inverse(X0),X2),X1)),
inference(superposition,[],[f3608,f3696]) ).
fof(f3696,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X0),X1),double_divide(multiply(inverse(X0),X2),X1)) = X2,
inference(forward_demodulation,[],[f3675,f3210]) ).
fof(f3675,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X0),X1),double_divide(double_divide(X0,inverse(X2)),X1)) = X2,
inference(backward_demodulation,[],[f46,f3540]) ).
fof(f46,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(inverse(X2),X0))) = X2,
inference(superposition,[],[f5,f34]) ).
fof(f3608,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(forward_demodulation,[],[f3511,f3599]) ).
fof(f3599,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f3598,f3349]) ).
fof(f3349,plain,
! [X2,X1] : multiply(multiply(X1,X2),inverse(X1)) = X2,
inference(backward_demodulation,[],[f3138,f3341]) ).
fof(f3138,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),multiply(double_divide(X0,X1),X0)) = X2,
inference(backward_demodulation,[],[f2605,f3086]) ).
fof(f2605,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),multiply(double_divide(X1,inverse(inverse(X0))),X0)) = X2,
inference(forward_demodulation,[],[f2540,f764]) ).
fof(f2540,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),double_divide(X1,inverse(multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f584,f858]) ).
fof(f3598,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[],[f3508,f2]) ).
fof(f3508,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(double_divide(X0,X1)),inverse(X1)),
inference(backward_demodulation,[],[f612,f3505]) ).
fof(f612,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(inverse(multiply(X1,X0))),inverse(X1)),
inference(superposition,[],[f65,f596]) ).
fof(f65,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f50,f50]) ).
fof(f3511,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),double_divide(X1,X0)),
inference(backward_demodulation,[],[f643,f3505]) ).
fof(f643,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))),
inference(superposition,[],[f598,f598]) ).
fof(f25586,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(X3,multiply(inverse(X0),X1))) = multiply(X4,multiply(X2,multiply(X3,multiply(double_divide(X4,X0),X1)))),
inference(forward_demodulation,[],[f25344,f605]) ).
fof(f25344,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(X3,multiply(inverse(X0),X1))) = multiply(X4,multiply(X2,multiply(X3,double_divide(X4,multiply(X0,inverse(X1)))))),
inference(superposition,[],[f17766,f4472]) ).
fof(f4472,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(superposition,[],[f3278,f3608]) ).
fof(f17766,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(X3,multiply(X1,X4))) = multiply(X0,multiply(X2,multiply(X3,double_divide(X0,double_divide(X1,X4))))),
inference(backward_demodulation,[],[f9732,f17763]) ).
fof(f17763,plain,
! [X2,X3,X0,X1] : multiply(double_divide(double_divide(X3,X2),X0),X1) = multiply(X3,double_divide(X0,double_divide(X1,X2))),
inference(backward_demodulation,[],[f15030,f17664]) ).
fof(f17664,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X1,multiply(X0,X2))) = multiply(X0,double_divide(X3,double_divide(X1,X2))),
inference(superposition,[],[f3805,f3805]) ).
fof(f3805,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(X0,double_divide(X1,multiply(X0,X2))),
inference(backward_demodulation,[],[f3515,f3104]) ).
fof(f3104,plain,
! [X2,X0,X1] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X0,multiply(X2,X1)),
inference(superposition,[],[f3020,f41]) ).
fof(f15030,plain,
! [X2,X3,X0,X1] : multiply(double_divide(double_divide(X3,X2),X0),X1) = double_divide(X0,double_divide(X1,multiply(X3,X2))),
inference(forward_demodulation,[],[f15029,f4170]) ).
fof(f4170,plain,
! [X2,X0,X1] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X1,inverse(X2)),X0),
inference(superposition,[],[f3605,f605]) ).
fof(f3605,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(backward_demodulation,[],[f3086,f3599]) ).
fof(f15029,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,inverse(X1)),double_divide(X3,X2)) = double_divide(X0,double_divide(X1,multiply(X3,X2))),
inference(forward_demodulation,[],[f15028,f4530]) ).
fof(f15028,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,inverse(X1)),double_divide(X3,X2)) = multiply(X1,multiply(multiply(X3,X2),inverse(X0))),
inference(forward_demodulation,[],[f15027,f9539]) ).
fof(f9539,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X0,multiply(X2,X1)),
inference(backward_demodulation,[],[f4512,f9488]) ).
fof(f9488,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(superposition,[],[f4166,f5161]) ).
fof(f5161,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X1,X0)),
inference(superposition,[],[f3505,f4278]) ).
fof(f4166,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f3605,f599]) ).
fof(f4512,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(superposition,[],[f3621,f3599]) ).
fof(f15027,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,inverse(X1)),double_divide(X3,X2)) = multiply(multiply(inverse(X0),X1),multiply(X3,X2)),
inference(forward_demodulation,[],[f14833,f9539]) ).
fof(f14833,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,inverse(X1)),double_divide(X3,X2)) = multiply(multiply(X2,multiply(inverse(X0),X1)),X3),
inference(superposition,[],[f3621,f4942]) ).
fof(f4942,plain,
! [X2,X1] : multiply(inverse(X1),X2) = inverse(multiply(X1,inverse(X2))),
inference(forward_demodulation,[],[f4908,f3289]) ).
fof(f3289,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = multiply(multiply(double_divide(X0,X2),X1),X0),
inference(backward_demodulation,[],[f3127,f3210]) ).
fof(f3127,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X1)) = multiply(multiply(double_divide(X0,X2),X1),X0),
inference(backward_demodulation,[],[f774,f3086]) ).
fof(f774,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X1)) = multiply(multiply(double_divide(X2,inverse(inverse(X0))),X1),X0),
inference(backward_demodulation,[],[f741,f764]) ).
fof(f741,plain,
! [X2,X0,X1] : multiply(double_divide(X2,inverse(multiply(inverse(X0),X1))),X0) = double_divide(X2,inverse(X1)),
inference(superposition,[],[f605,f598]) ).
fof(f4908,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X2))) = multiply(multiply(double_divide(X0,X1),X2),X0),
inference(superposition,[],[f3341,f605]) ).
fof(f9732,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X2,multiply(double_divide(double_divide(X3,X4),X0),X1))) = multiply(X2,multiply(X3,multiply(X1,X4))),
inference(forward_demodulation,[],[f9731,f9539]) ).
fof(f9731,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X2,multiply(double_divide(double_divide(X3,X4),X0),X1))) = multiply(X2,multiply(multiply(X4,X3),X1)),
inference(forward_demodulation,[],[f9636,f9539]) ).
fof(f9636,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,X2),multiply(X4,X3)) = multiply(X0,multiply(X2,multiply(double_divide(double_divide(X3,X4),X0),X1))),
inference(backward_demodulation,[],[f4555,f9539]) ).
fof(f4555,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(multiply(X1,X2),double_divide(double_divide(X3,X4),X0))) = multiply(multiply(X1,X2),multiply(X4,X3)),
inference(backward_demodulation,[],[f25,f4554]) ).
fof(f4554,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X0),multiply(X2,X3)) = multiply(multiply(X2,multiply(X1,X0)),X3),
inference(forward_demodulation,[],[f4509,f4146]) ).
fof(f4146,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X0),multiply(X2,X3)) = double_divide(double_divide(X0,X1),double_divide(X3,X2)),
inference(superposition,[],[f3530,f188]) ).
fof(f4509,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X3,X2)) = multiply(multiply(X2,multiply(X1,X0)),X3),
inference(superposition,[],[f3621,f2]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(multiply(X1,X2),double_divide(double_divide(X3,X4),X0))) = multiply(multiply(X4,multiply(X1,X2)),X3),
inference(superposition,[],[f9,f9]) ).
fof(f25666,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(X3,multiply(X0,inverse(X1)))) = multiply(X4,multiply(X2,multiply(X3,multiply(double_divide(X4,X1),X0)))),
inference(forward_demodulation,[],[f25363,f605]) ).
fof(f25363,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(X3,multiply(X0,inverse(X1)))) = multiply(X4,multiply(X2,multiply(X3,double_divide(X4,multiply(X1,inverse(X0)))))),
inference(superposition,[],[f17766,f3866]) ).
fof(f3866,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(superposition,[],[f599,f3599]) ).
fof(f25928,plain,
! [X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(X0,double_divide(double_divide(X1,X3),X3))),
inference(forward_demodulation,[],[f25927,f25587]) ).
fof(f25927,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(X2,multiply(X0,multiply(X3,multiply(double_divide(X2,X3),X1))))),
inference(forward_demodulation,[],[f25926,f21420]) ).
fof(f21420,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f21095,f2]) ).
fof(f21095,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,inverse(double_divide(X0,X2))),
inference(superposition,[],[f4688,f9541]) ).
fof(f9541,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X2,X1)),double_divide(X0,X1)) = X2,
inference(backward_demodulation,[],[f584,f9539]) ).
fof(f4688,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(forward_demodulation,[],[f4657,f2]) ).
fof(f4657,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[],[f4273,f3507]) ).
fof(f3507,plain,
! [X2,X1] : inverse(X2) = multiply(double_divide(X2,X1),X1),
inference(backward_demodulation,[],[f598,f3505]) ).
fof(f4273,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f3278,f3599]) ).
fof(f25926,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(X2,multiply(X0,multiply(double_divide(X2,X3),multiply(X1,X3))))),
inference(forward_demodulation,[],[f25925,f25394]) ).
fof(f25394,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X4,multiply(X1,multiply(X0,X2)))) = multiply(multiply(X0,X1),multiply(X3,multiply(X4,X2))),
inference(superposition,[],[f17766,f6242]) ).
fof(f6242,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X0),double_divide(X0,multiply(X1,X2))) = X2,
inference(forward_demodulation,[],[f6194,f3868]) ).
fof(f3868,plain,
! [X2,X0,X1] : double_divide(X1,multiply(X2,X0)) = multiply(double_divide(X1,X2),inverse(X0)),
inference(superposition,[],[f605,f3599]) ).
fof(f6194,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X0),multiply(double_divide(X0,X1),inverse(X2))) = X2,
inference(superposition,[],[f3187,f2]) ).
fof(f3187,plain,
! [X2,X1] : double_divide(inverse(X1),multiply(X1,inverse(X2))) = X2,
inference(backward_demodulation,[],[f601,f3170]) ).
fof(f601,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,multiply(inverse(X0),X1)),multiply(X1,inverse(X2))) = X2,
inference(superposition,[],[f174,f573]) ).
fof(f25925,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(multiply(X1,double_divide(X2,X3)),multiply(X2,multiply(X0,X3)))),
inference(forward_demodulation,[],[f25434,f19012]) ).
fof(f19012,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X0),multiply(X2,X3)) = multiply(X0,multiply(X2,multiply(X1,X3))),
inference(forward_demodulation,[],[f18861,f9745]) ).
fof(f9745,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X3,X2)) = multiply(X0,multiply(X3,multiply(X1,X2))),
inference(forward_demodulation,[],[f9646,f9539]) ).
fof(f9646,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X2,X3),X1)) = double_divide(double_divide(X0,X1),double_divide(X3,X2)),
inference(backward_demodulation,[],[f4146,f9539]) ).
fof(f18861,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X0),multiply(X2,X3)) = double_divide(double_divide(X0,X1),double_divide(X2,X3)),
inference(superposition,[],[f606,f17111]) ).
fof(f17111,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(double_divide(X1,double_divide(X2,X0)),X1),
inference(forward_demodulation,[],[f17110,f4530]) ).
fof(f17110,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(X2,multiply(X0,inverse(X1))),X1),
inference(forward_demodulation,[],[f17109,f9539]) ).
fof(f17109,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(multiply(inverse(X1),X2),X0),X1),
inference(forward_demodulation,[],[f16978,f2]) ).
fof(f16978,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(inverse(double_divide(X0,multiply(inverse(X1),X2))),X1),
inference(superposition,[],[f3801,f3210]) ).
fof(f3801,plain,
! [X2,X0,X1] : multiply(X2,X1) = double_divide(double_divide(X1,multiply(X0,X2)),X0),
inference(backward_demodulation,[],[f604,f3104]) ).
fof(f25434,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X4,X1)) = multiply(X4,multiply(multiply(X0,multiply(X1,double_divide(X2,X3))),multiply(X2,X3))),
inference(superposition,[],[f17766,f9541]) ).
fof(f9766,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)) ),
inference(trivial_inequality_removal,[],[f9765]) ).
fof(f9765,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b1,inverse(b1)) != multiply(a1,inverse(a1))
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f9764,f4278]) ).
fof(f9764,plain,
( multiply(b1,inverse(b1)) != multiply(a1,inverse(a1))
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f9763,f4278]) ).
fof(f9763,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f9762,f4278]) ).
fof(f9762,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f9761,f4278]) ).
fof(f9761,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f9658,f4278]) ).
fof(f9658,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(c3,a3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f3,f9539]) ).
fof(f3,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP104-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:49:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (31195)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (31198)WARNING: value z3 for option sas not known
% 0.15/0.38 % (31199)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (31200)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)
% 0.15/0.38 % (31197)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (31201)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)
% 0.15/0.38 % (31198)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (31202)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)
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (31196)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.52 TRYING [5]
% 0.20/0.58 TRYING [4]
% 7.23/1.40 % (31201)First to succeed.
% 7.23/1.40 % (31201)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31195"
% 7.23/1.41 % (31201)Refutation found. Thanks to Tanya!
% 7.23/1.41 % SZS status Unsatisfiable for theBenchmark
% 7.23/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 7.23/1.41 % (31201)------------------------------
% 7.23/1.41 % (31201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.23/1.41 % (31201)Termination reason: Refutation
% 7.23/1.41
% 7.23/1.41 % (31201)Memory used [KB]: 15727
% 7.23/1.41 % (31201)Time elapsed: 1.024 s
% 7.23/1.41 % (31201)Instructions burned: 2056 (million)
% 7.23/1.41 % (31195)Success in time 1.039 s
%------------------------------------------------------------------------------