TSTP Solution File: COM016+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 04:47:42 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 131 ( 6 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 156 ( 56 ~; 47 |; 51 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 21 ( 11 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(resolution,[],[f283,f150]) ).
fof(f150,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f283,plain,
~ aElement0(xb),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( ~ aElement0(xb)
| ~ aElement0(xb) ),
inference(resolution,[],[f281,f260]) ).
fof(f260,plain,
( aElement0(sK18)
| ~ aElement0(xb) ),
inference(resolution,[],[f152,f259]) ).
fof(f259,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(resolution,[],[f147,f254]) ).
fof(f254,plain,
~ sP0(xb),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X0] :
( xb != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,xb)
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,X0,xR)
& xb != X0 )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,xb)
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,X0,xR)
& xb != X0 )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f147,plain,
! [X0] :
( sP0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sP0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f29,f54]) ).
fof(f29,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,xb)
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,X0,xR)
& xb != X0 )
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( ( sdtmndtasgtdt0(X0,xR,xb)
| sdtmndtplgtdt0(X0,xR,xb)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR)
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
? [X0] :
( ( sdtmndtasgtdt0(X0,xR,xb)
| sdtmndtplgtdt0(X0,xR,xb)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR)
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f152,plain,
( aReductOfIn0(xb,xa,xR)
| aElement0(sK18) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK17,xR,xc)
& aReductOfIn0(sK17,xa,xR)
& aElement0(sK17) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sK18,xR,xb)
& aReductOfIn0(sK18,xa,xR)
& aElement0(sK18) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f22,f80,f79]) ).
fof(f79,plain,
( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(sK17,xR,xc)
& aReductOfIn0(sK17,xa,xR)
& aElement0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(sK18,xR,xb)
& aReductOfIn0(sK18,xa,xR)
& aElement0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
fof(f281,plain,
( ~ aElement0(sK18)
| ~ aElement0(xb) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
( ~ aElement0(xb)
| ~ aElement0(sK18)
| ~ aElement0(xb) ),
inference(resolution,[],[f277,f259]) ).
fof(f277,plain,
( aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ aElement0(sK18) ),
inference(resolution,[],[f274,f153]) ).
fof(f153,plain,
( aReductOfIn0(sK18,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f81]) ).
fof(f274,plain,
( ~ aReductOfIn0(sK18,xa,xR)
| ~ aElement0(sK18)
| ~ aElement0(xb) ),
inference(resolution,[],[f272,f259]) ).
fof(f272,plain,
( aReductOfIn0(xb,xa,xR)
| ~ aReductOfIn0(sK18,xa,xR)
| ~ aElement0(sK18) ),
inference(resolution,[],[f154,f262]) ).
fof(f262,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f145,f147]) ).
fof(f145,plain,
! [X0] :
( ~ sP0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xb) ),
inference(cnf_transformation,[],[f78]) ).
fof(f154,plain,
( sdtmndtplgtdt0(sK18,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:24:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (28426)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (28427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (28429)WARNING: value z3 for option sas not known
% 0.13/0.37 % (28428)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (28430)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (28429)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)
% 0.13/0.37 % (28431)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)
% 0.13/0.37 % (28432)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)
% 0.13/0.37 % (28433)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)
% 0.13/0.38 % (28432)First to succeed.
% 0.13/0.38 % (28432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28426"
% 0.13/0.38 % (28433)Also succeeded, but the first one will report.
% 0.13/0.38 % (28432)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (28432)------------------------------
% 0.13/0.38 % (28432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (28432)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (28432)Memory used [KB]: 1001
% 0.13/0.38 % (28432)Time elapsed: 0.009 s
% 0.13/0.38 % (28432)Instructions burned: 11 (million)
% 0.13/0.38 % (28426)Success in time 0.026 s
%------------------------------------------------------------------------------