TSTP Solution File: GRP570-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP570-1 : 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 : n032.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 06:09:29 EDT 2024
% Result : Unsatisfiable 0.09s 0.30s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f436,plain,
$false,
inference(trivial_inequality_removal,[],[f431]) ).
fof(f431,plain,
a2 != a2,
inference(superposition,[],[f5,f402]) ).
fof(f402,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f336,f6]) ).
fof(f6,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
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(f336,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(superposition,[],[f187,f329]) ).
fof(f329,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f320,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f320,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f190,f304]) ).
fof(f304,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f287,f187]) ).
fof(f287,plain,
multiply(identity,identity) = double_divide(inverse(identity),inverse(identity)),
inference(superposition,[],[f284,f3]) ).
fof(f284,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),inverse(identity)),
inference(forward_demodulation,[],[f273,f187]) ).
fof(f273,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,double_divide(inverse(X0),inverse(identity))),inverse(identity)),
inference(superposition,[],[f107,f190]) ).
fof(f107,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[],[f52,f3]) ).
fof(f52,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f51,f3]) ).
fof(f51,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f190,plain,
! [X0] : inverse(X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f187,f13]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f187,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f180,f3]) ).
fof(f180,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(superposition,[],[f124,f19]) ).
fof(f19,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f13]) ).
fof(f124,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f123,f3]) ).
fof(f123,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f108,f13]) ).
fof(f108,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[],[f52,f4]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP570-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 20:46:22 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (24383)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (24386)WARNING: value z3 for option sas not known
% 0.09/0.29 % (24384)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.29 % (24386)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)
% 0.09/0.29 % (24388)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)
% 0.09/0.29 TRYING [1]
% 0.09/0.29 TRYING [2]
% 0.09/0.30 TRYING [3]
% 0.09/0.30 % (24390)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)
% 0.09/0.30 % (24387)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (24385)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (24389)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [3]
% 0.09/0.30 % (24386)First to succeed.
% 0.09/0.30 % (24386)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24383"
% 0.09/0.30 % (24386)Refutation found. Thanks to Tanya!
% 0.09/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.30 % (24386)------------------------------
% 0.09/0.30 % (24386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.30 % (24386)Termination reason: Refutation
% 0.09/0.30
% 0.09/0.30 % (24386)Memory used [KB]: 936
% 0.09/0.30 % (24386)Time elapsed: 0.008 s
% 0.09/0.30 % (24386)Instructions burned: 22 (million)
% 0.09/0.30 % (24383)Success in time 0.017 s
%------------------------------------------------------------------------------