TSTP Solution File: GRP483-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP483-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 21:31:07 EDT 2024
% Result : Unsatisfiable 0.11s 0.39s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1948,plain,
$false,
inference(trivial_inequality_removal,[],[f1929]) ).
fof(f1929,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f1851]) ).
fof(f1851,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f1796,f888]) ).
fof(f888,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(superposition,[],[f537,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(f537,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(superposition,[],[f314,f252]) ).
fof(f252,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = X1,
inference(backward_demodulation,[],[f77,f242]) ).
fof(f242,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f18,f232]) ).
fof(f232,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f223,f105]) ).
fof(f105,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[],[f81,f93]) ).
fof(f93,plain,
identity = inverse(identity),
inference(superposition,[],[f81,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f81,plain,
! [X0] : double_divide(inverse(identity),inverse(X0)) = X0,
inference(superposition,[],[f74,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(f74,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),inverse(X0)),X1) = X0,
inference(forward_demodulation,[],[f73,f14]) ).
fof(f73,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(forward_demodulation,[],[f63,f3]) ).
fof(f63,plain,
! [X0,X1] : double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(superposition,[],[f10,f4]) ).
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(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(f223,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(superposition,[],[f74,f185]) ).
fof(f185,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f178,f93]) ).
fof(f178,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f14,f138]) ).
fof(f138,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f124,f113]) ).
fof(f113,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f98,f93]) ).
fof(f98,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f14,f81]) ).
fof(f124,plain,
! [X0] : identity = double_divide(multiply(inverse(X0),identity),X0),
inference(superposition,[],[f74,f93]) ).
fof(f18,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(f77,plain,
! [X0,X1] : double_divide(multiply(multiply(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(superposition,[],[f74,f18]) ).
fof(f314,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f257,f257]) ).
fof(f257,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[],[f128,f242]) ).
fof(f128,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[],[f127,f105]) ).
fof(f127,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[],[f126,f18]) ).
fof(f126,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f118,f3]) ).
fof(f118,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(superposition,[],[f10,f93]) ).
fof(f1796,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X1,X0)) = multiply(multiply(X2,X0),X1),
inference(superposition,[],[f1122,f314]) ).
fof(f1122,plain,
! [X2,X0,X1] : double_divide(inverse(X0),X2) = multiply(multiply(X0,X1),double_divide(X1,X2)),
inference(forward_demodulation,[],[f1051,f3]) ).
fof(f1051,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(X0,identity),X2),
inference(superposition,[],[f914,f102]) ).
fof(f102,plain,
! [X0,X1] : identity = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(backward_demodulation,[],[f31,f93]) ).
fof(f31,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(superposition,[],[f16,f14]) ).
fof(f914,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,multiply(X3,double_divide(double_divide(X0,X1),multiply(X2,X0)))),X1) = X3,
inference(backward_demodulation,[],[f879,f889]) ).
fof(f889,plain,
! [X2,X0,X1] : multiply(X2,double_divide(X1,X0)) = double_divide(inverse(X2),multiply(X0,X1)),
inference(superposition,[],[f537,f261]) ).
fof(f261,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f17,f242]) ).
fof(f17,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(f879,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,[],[f251,f875]) ).
fof(f875,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f874,f14]) ).
fof(f874,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f867,f223]) ).
fof(f867,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(identity,double_divide(X0,X1)),
inference(superposition,[],[f108,f343]) ).
fof(f343,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f314,f74]) ).
fof(f108,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,multiply(X1,X0)),
inference(backward_demodulation,[],[f92,f93]) ).
fof(f92,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(inverse(identity),multiply(X1,X0)),
inference(superposition,[],[f81,f14]) ).
fof(f251,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,[],[f72,f242]) ).
fof(f72,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,[],[f71,f18]) ).
fof(f71,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,[],[f58,f14]) ).
fof(f58,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(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GRP483-1 : TPTP v8.2.0. Released v2.6.0.
% 0.08/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 06:02:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (1168)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (1171)WARNING: value z3 for option sas not known
% 0.11/0.34 % (1169)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (1171)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)
% 0.11/0.34 % (1172)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (1170)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (1173)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)
% 0.11/0.34 % (1175)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)
% 0.11/0.34 % (1174)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.37 TRYING [4]
% 0.11/0.37 TRYING [5]
% 0.11/0.39 % (1174)First to succeed.
% 0.11/0.39 % (1174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1168"
% 0.11/0.39 % (1174)Refutation found. Thanks to Tanya!
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.39 % (1174)------------------------------
% 0.11/0.39 % (1174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.39 % (1174)Termination reason: Refutation
% 0.11/0.39
% 0.11/0.39 % (1174)Memory used [KB]: 1362
% 0.11/0.39 % (1174)Time elapsed: 0.045 s
% 0.11/0.39 % (1174)Instructions burned: 84 (million)
% 0.11/0.39 % (1168)Success in time 0.059 s
%------------------------------------------------------------------------------