TSTP Solution File: GRP552-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP552-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 21:31:21 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(trivial_inequality_removal,[],[f361]) ).
fof(f361,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f303]) ).
fof(f303,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f265,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f265,plain,
! [X0,X1] : multiply(X0,X1) = divide(X1,divide(identity,X0)),
inference(forward_demodulation,[],[f253,f122]) ).
fof(f122,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f56,f113]) ).
fof(f113,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f69,f96]) ).
fof(f96,plain,
! [X0] : identity = divide(X0,divide(X0,identity)),
inference(superposition,[],[f69,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f69,plain,
! [X0,X1] : divide(X0,divide(X0,divide(X1,identity))) = X1,
inference(superposition,[],[f51,f53]) ).
fof(f53,plain,
! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f52,f4]) ).
fof(f52,plain,
! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
inference(backward_demodulation,[],[f38,f43]) ).
fof(f43,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f38,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f51,plain,
! [X2,X0] : divide(divide(identity,X0),divide(divide(identity,X0),divide(X2,identity))) = X2,
inference(backward_demodulation,[],[f1,f43]) ).
fof(f56,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(superposition,[],[f53,f2]) ).
fof(f253,plain,
! [X0,X1] : divide(X1,divide(identity,X0)) = multiply(multiply(identity,X0),X1),
inference(superposition,[],[f232,f2]) ).
fof(f232,plain,
! [X0,X1] : divide(X0,X1) = multiply(divide(identity,X1),X0),
inference(superposition,[],[f125,f204]) ).
fof(f204,plain,
! [X0,X1] : divide(X0,multiply(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f203,f122]) ).
fof(f203,plain,
! [X0,X1] : divide(multiply(identity,X0),multiply(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f186,f2]) ).
fof(f186,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(divide(identity,X1),divide(identity,X0))) = X1,
inference(superposition,[],[f40,f2]) ).
fof(f40,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f125,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f69,f113]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP552-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 04:48:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8755)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (8758)WARNING: value z3 for option sas not known
% 0.14/0.38 % (8759)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (8756)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (8757)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (8758)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)
% 0.14/0.38 % (8761)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)
% 0.14/0.38 % (8760)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)
% 0.14/0.38 % (8762)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 % (8761)First to succeed.
% 0.14/0.39 % (8761)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8755"
% 0.14/0.39 % (8758)Also succeeded, but the first one will report.
% 0.14/0.39 % (8761)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (8761)------------------------------
% 0.14/0.39 % (8761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (8761)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (8761)Memory used [KB]: 841
% 0.14/0.39 % (8761)Time elapsed: 0.012 s
% 0.14/0.39 % (8761)Instructions burned: 16 (million)
% 0.14/0.39 % (8755)Success in time 0.027 s
%------------------------------------------------------------------------------