TSTP Solution File: GRP541-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP541-1 : 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 : n017.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 06:09:24 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 32 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 10 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f17,f21,f24]) ).
fof(f24,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f23,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f22,plain,
( identity != identity
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f16,f20]) ).
fof(f20,plain,
( ! [X0] : identity = divide(X0,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_3
<=> ! [X0] : identity = divide(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f16,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_2
<=> identity = divide(divide(identity,a1),divide(identity,a1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f21,plain,
spl0_3,
inference(avatar_split_clause,[],[f4,f19]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f17,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f8,f14]) ).
fof(f8,plain,
( spl0_1
<=> divide(divide(identity,a1),divide(identity,a1)) = divide(divide(identity,b1),divide(identity,b1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_1 ),
inference(forward_demodulation,[],[f10,f4]) ).
fof(f10,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f8]) ).
fof(f6,plain,
divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)),
inference(definition_unfolding,[],[f5,f2,f3,f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP541-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:48:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (11636)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11639)WARNING: value z3 for option sas not known
% 0.15/0.37 % (11637)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (11638)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (11639)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)
% 0.15/0.37 % (11641)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)
% 0.15/0.37 % (11642)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)
% 0.15/0.37 % (11640)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (11643)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (11641)First to succeed.
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (11642)Also succeeded, but the first one will report.
% 0.15/0.37 % (11643)Also succeeded, but the first one will report.
% 0.15/0.37 % (11641)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11636"
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (11639)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (11641)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (11641)------------------------------
% 0.15/0.37 % (11641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (11641)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (11641)Memory used [KB]: 749
% 0.15/0.37 % (11641)Time elapsed: 0.004 s
% 0.15/0.37 % (11641)Instructions burned: 2 (million)
% 0.15/0.37 % (11636)Success in time 0.009 s
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