TSTP Solution File: GRP075-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP075-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 20 21:14:56 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 83 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 164 ( 164 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2274,plain,
$false,
inference(trivial_inequality_removal,[],[f2273]) ).
fof(f2273,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f453,f1989]) ).
fof(f1989,plain,
! [X2,X0,X1] : multiply(X0,multiply(X2,X1)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[],[f1988,f1362]) ).
fof(f1362,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(superposition,[],[f752,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f752,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(superposition,[],[f542,f441]) ).
fof(f441,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = X1,
inference(backward_demodulation,[],[f205,f433]) ).
fof(f433,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f416,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f416,plain,
! [X2,X0,X1] : multiply(identity,X0) = double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(inverse(X0),inverse(X1))),X2),
inference(backward_demodulation,[],[f290,f410]) ).
fof(f410,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[],[f303,f409]) ).
fof(f409,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[],[f408,f14]) ).
fof(f408,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X0,inverse(X1))),X1),
inference(forward_demodulation,[],[f400,f3]) ).
fof(f400,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(double_divide(X0,inverse(X1)),identity),X1),
inference(superposition,[],[f10,f336]) ).
fof(f336,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f322,f309]) ).
fof(f309,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f238,f231]) ).
fof(f231,plain,
identity = inverse(identity),
inference(superposition,[],[f213,f4]) ).
fof(f213,plain,
! [X0] : double_divide(inverse(identity),inverse(X0)) = X0,
inference(superposition,[],[f200,f16]) ).
fof(f16,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(forward_demodulation,[],[f12,f3]) ).
fof(f12,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f200,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),inverse(X0)),X1) = X0,
inference(forward_demodulation,[],[f199,f14]) ).
fof(f199,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(forward_demodulation,[],[f187,f3]) ).
fof(f187,plain,
! [X0,X1] : double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(superposition,[],[f10,f4]) ).
fof(f238,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f14,f213]) ).
fof(f322,plain,
! [X0] : identity = double_divide(multiply(inverse(X0),identity),X0),
inference(superposition,[],[f200,f231]) ).
fof(f303,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),X0),X1) = double_divide(identity,X0),
inference(backward_demodulation,[],[f273,f285]) ).
fof(f285,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(forward_demodulation,[],[f255,f259]) ).
fof(f259,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(backward_demodulation,[],[f57,f251]) ).
fof(f251,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(backward_demodulation,[],[f214,f231]) ).
fof(f214,plain,
! [X0] : inverse(multiply(inverse(identity),inverse(X0))) = X0,
inference(superposition,[],[f200,f3]) ).
fof(f57,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
inference(superposition,[],[f19,f22]) ).
fof(f22,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f19,f19]) ).
fof(f19,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f11,f3]) ).
fof(f11,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f255,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,multiply(identity,X0))),
inference(backward_demodulation,[],[f230,f231]) ).
fof(f230,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(inverse(identity),multiply(identity,multiply(identity,X0))),
inference(superposition,[],[f213,f57]) ).
fof(f273,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(multiply(inverse(X1),X0),X1),
inference(backward_demodulation,[],[f212,f259]) ).
fof(f212,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(multiply(inverse(X1),multiply(identity,multiply(identity,X0))),X1),
inference(superposition,[],[f200,f57]) ).
fof(f290,plain,
! [X2,X0,X1] : multiply(identity,X0) = double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(identity,X0),inverse(X1))),X2),
inference(backward_demodulation,[],[f181,f285]) ).
fof(f181,plain,
! [X2,X0,X1] : multiply(identity,X0) = double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(multiply(identity,inverse(X0)),inverse(X1))),X2),
inference(superposition,[],[f10,f22]) ).
fof(f205,plain,
! [X0,X1] : double_divide(multiply(multiply(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(superposition,[],[f200,f19]) ).
fof(f542,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f447,f447]) ).
fof(f447,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[],[f326,f433]) ).
fof(f326,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[],[f325,f250]) ).
fof(f250,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[],[f213,f231]) ).
fof(f325,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[],[f324,f19]) ).
fof(f324,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f316,f3]) ).
fof(f316,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(superposition,[],[f10,f231]) ).
fof(f1988,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[],[f1909,f1434]) ).
fof(f1434,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),inverse(X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f982,f451]) ).
fof(f451,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f18,f433]) ).
fof(f18,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f13,f3]) ).
fof(f13,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f982,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f958,f14]) ).
fof(f958,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f738,f553]) ).
fof(f553,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X0,X1)),
inference(superposition,[],[f14,f447]) ).
fof(f738,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,X0),inverse(X1)),
inference(superposition,[],[f441,f435]) ).
fof(f435,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f19,f433]) ).
fof(f1909,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(double_divide(X2,X0),inverse(X1)),
inference(superposition,[],[f1403,f783]) ).
fof(f783,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(superposition,[],[f257,f435]) ).
fof(f257,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),inverse(X0)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f248,f3]) ).
fof(f248,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),inverse(X0)),double_divide(X0,identity)) = X1,
inference(backward_demodulation,[],[f188,f231]) ).
fof(f188,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),inverse(X0)),double_divide(X0,inverse(identity))) = X1,
inference(superposition,[],[f10,f2]) ).
fof(f1403,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,multiply(X2,double_divide(X0,X1))),inverse(X0)) = X2,
inference(backward_demodulation,[],[f1240,f1363]) ).
fof(f1363,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X1,X0)) = double_divide(inverse(X2),multiply(X0,X1)),
inference(superposition,[],[f752,f451]) ).
fof(f1240,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(inverse(X2),multiply(X1,X0))),inverse(X0)) = X2,
inference(forward_demodulation,[],[f1182,f373]) ).
fof(f373,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f295,f14]) ).
fof(f295,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f251,f285]) ).
fof(f1182,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(inverse(X2),multiply(multiply(X1,X0),identity))),inverse(X0)) = X2,
inference(superposition,[],[f986,f4]) ).
fof(f986,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(inverse(X3),multiply(multiply(X2,X0),double_divide(X0,X1)))),X1) = X3,
inference(backward_demodulation,[],[f440,f982]) ).
fof(f440,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(inverse(X3),multiply(double_divide(inverse(X2),inverse(X0)),double_divide(X0,X1)))),X1) = X3,
inference(backward_demodulation,[],[f198,f433]) ).
fof(f198,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(inverse(X3),multiply(double_divide(inverse(X2),inverse(X0)),double_divide(X0,multiply(identity,X1))))),X1) = X3,
inference(forward_demodulation,[],[f197,f19]) ).
fof(f197,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(inverse(X3),multiply(double_divide(inverse(X2),inverse(X0)),double_divide(X0,inverse(inverse(X1)))))),X1) = X3,
inference(forward_demodulation,[],[f178,f14]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(inverse(X3),inverse(double_divide(double_divide(X0,inverse(inverse(X1))),double_divide(inverse(X2),inverse(X0)))))),X1) = X3,
inference(superposition,[],[f10,f10]) ).
fof(f453,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f452,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f256,f433]) ).
fof(f256,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(backward_demodulation,[],[f17,f231]) ).
fof(f17,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f16]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP075-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.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 : Sun May 19 05:20:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (24753)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (24757)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (24756)WARNING: value z3 for option sas not known
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (24754)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (24755)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 % (24756)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 % (24758)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 % (24759)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 % (24760)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]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.44 % (24759)First to succeed.
% 0.22/0.44 % (24759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24753"
% 0.22/0.44 % (24759)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (24759)------------------------------
% 0.22/0.44 % (24759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (24759)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (24759)Memory used [KB]: 1499
% 0.22/0.44 % (24759)Time elapsed: 0.062 s
% 0.22/0.44 % (24759)Instructions burned: 104 (million)
% 0.22/0.44 % (24753)Success in time 0.078 s
%------------------------------------------------------------------------------