TSTP Solution File: GRP544-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP544-1 : 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 : n023.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 21:31:19 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 6 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f278]) ).
fof(f278,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f277,f67]) ).
fof(f67,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f66,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f66,plain,
! [X0] : multiply(divide(identity,identity),X0) = X0,
inference(forward_demodulation,[],[f60,f6]) ).
fof(f6,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f60,plain,
! [X0] : multiply(multiply(identity,identity),X0) = X0,
inference(superposition,[],[f48,f2]) ).
fof(f48,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f42,f2]) ).
fof(f42,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f277,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(identity,X1),X0),
inference(forward_demodulation,[],[f260,f2]) ).
fof(f260,plain,
! [X0,X1] : multiply(X0,X1) = multiply(divide(identity,divide(identity,X1)),X0),
inference(superposition,[],[f248,f126]) ).
fof(f126,plain,
! [X0,X1] : divide(identity,X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f73,f2]) ).
fof(f73,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f48,f67]) ).
fof(f248,plain,
! [X0,X1] : multiply(divide(identity,divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[],[f247,f67]) ).
fof(f247,plain,
! [X0,X1] : multiply(divide(identity,divide(multiply(identity,X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f229,f2]) ).
fof(f229,plain,
! [X0,X1] : multiply(divide(identity,divide(divide(identity,divide(identity,X0)),X1)),X0) = X1,
inference(superposition,[],[f38,f2]) ).
fof(f38,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP544-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sun May 19 04:35:38 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % (31355)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (31358)WARNING: value z3 for option sas not known
% 0.16/0.33 % (31356)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (31359)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (31362)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (31358)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (31360)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)
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 % (31362)First to succeed.
% 0.16/0.34 % (31362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31355"
% 0.16/0.34 % (31362)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (31362)------------------------------
% 0.16/0.34 % (31362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (31362)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (31362)Memory used [KB]: 841
% 0.16/0.34 % (31362)Time elapsed: 0.008 s
% 0.16/0.34 % (31362)Instructions burned: 14 (million)
% 0.16/0.34 % (31355)Success in time 0.01 s
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