TSTP Solution File: GRP516-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP516-1 : 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 : 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 06:09:20 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f384,plain,
$false,
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f2,f291]) ).
fof(f291,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f12,f245]) ).
fof(f245,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f221,f77]) ).
fof(f77,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f57,f36]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),multiply(X2,inverse(X0))),
inference(superposition,[],[f3,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f12]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f57,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X0,multiply(multiply(X1,X2),inverse(X1))),
inference(superposition,[],[f17,f1]) ).
fof(f17,plain,
! [X2,X3,X0] : multiply(X2,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(X0)))))) = X0,
inference(forward_demodulation,[],[f13,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,multiply(X1,inverse(X1))),inverse(X0)))))) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f221,plain,
! [X2,X1] : multiply(multiply(X2,inverse(X1)),X1) = X2,
inference(superposition,[],[f21,f172]) ).
fof(f172,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
inference(superposition,[],[f123,f1]) ).
fof(f123,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(X2,multiply(multiply(X0,inverse(X0)),X1)),
inference(superposition,[],[f57,f77]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[],[f3,f9]) ).
fof(f2,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP516-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 20:41:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (6487)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (6490)WARNING: value z3 for option sas not known
% 0.09/0.30 % (6491)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (6490)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [3]
% 0.09/0.30 TRYING [4]
% 0.09/0.31 % (6492)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)
% 0.09/0.31 % (6494)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)
% 0.09/0.31 % (6488)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (6489)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 % (6493)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)
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 % (6490)First to succeed.
% 0.09/0.31 % (6490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6487"
% 0.09/0.31 % (6490)Refutation found. Thanks to Tanya!
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.31 % (6490)------------------------------
% 0.09/0.31 % (6490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.31 % (6490)Termination reason: Refutation
% 0.09/0.31
% 0.09/0.31 % (6490)Memory used [KB]: 951
% 0.09/0.31 % (6490)Time elapsed: 0.011 s
% 0.09/0.31 % (6490)Instructions burned: 26 (million)
% 0.09/0.31 % (6487)Success in time 0.019 s
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