TSTP Solution File: SET813+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 09:19:02 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 58 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 21 ~; 16 |; 10 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f690,plain,
$false,
inference(subsumption_resolution,[],[f688,f189]) ).
fof(f189,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
fof(f688,plain,
~ member(sK5,singleton(sK5)),
inference(resolution,[],[f632,f118]) ).
fof(f118,plain,
~ member(sK5,suc(sK5)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ~ member(sK5,suc(sK5))
& member(sK5,on) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f39,f59]) ).
fof(f59,plain,
( ? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) )
=> ( ~ member(sK5,suc(sK5))
& member(sK5,on) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV12) ).
fof(f632,plain,
! [X0,X1] :
( member(X0,suc(X1))
| ~ member(X0,singleton(X1)) ),
inference(resolution,[],[f164,f185]) ).
fof(f185,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f164,plain,
! [X0,X1] :
( ~ member(X1,union(X0,singleton(X0)))
| member(X1,suc(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( member(X1,suc(X0))
| ~ member(X1,union(X0,singleton(X0))) )
& ( member(X1,union(X0,singleton(X0)))
| ~ member(X1,suc(X0)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( member(X1,suc(X0))
<=> member(X1,union(X0,singleton(X0))) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( member(X2,suc(X0))
<=> member(X2,union(X0,singleton(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.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 : Fri May 3 16:46:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (14248)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14257)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)
% 0.14/0.37 % (14251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (14252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (14254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (14256)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)
% 0.14/0.37 % (14255)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 TRYING [1]
% 0.14/0.38 % (14253)WARNING: value z3 for option sas not known
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (14253)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 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 % (14253)First to succeed.
% 0.14/0.40 % (14253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14248"
% 0.14/0.41 % (14253)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (14253)------------------------------
% 0.14/0.41 % (14253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (14253)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (14253)Memory used [KB]: 1215
% 0.14/0.41 % (14253)Time elapsed: 0.025 s
% 0.14/0.41 % (14253)Instructions burned: 28 (million)
% 0.14/0.41 % (14248)Success in time 0.05 s
%------------------------------------------------------------------------------