TSTP Solution File: NUM560+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:05:49 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 85 ( 13 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 101 ( 31 ~; 16 |; 42 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,plain,
$false,
inference(resolution,[],[f424,f312]) ).
fof(f312,plain,
aElementOf0(sK6,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( aElementOf0(sK6,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(sK6,szDzozmdt0(xF))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f208,f209]) ).
fof(f209,plain,
( ? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X0,szDzozmdt0(xF)) )
=> ( aElementOf0(sK6,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(sK6,szDzozmdt0(xF)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
( ? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f424,plain,
~ aElementOf0(sK6,sdtlbdtrb0(xF,xy)),
inference(resolution,[],[f308,f311]) ).
fof(f311,plain,
~ aElementOf0(sK6,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f210]) ).
fof(f308,plain,
! [X1] :
( aElementOf0(X1,szDzozmdt0(xF))
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(cnf_transformation,[],[f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 07:03:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (396)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.49 % (380)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (380)Instruction limit reached!
% 0.18/0.49 % (380)------------------------------
% 0.18/0.49 % (380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (373)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49 % (382)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (388)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.50 % (380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (380)Termination reason: Unknown
% 0.18/0.50 % (380)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (380)Memory used [KB]: 5628
% 0.18/0.50 % (380)Time elapsed: 0.005 s
% 0.18/0.50 % (380)Instructions burned: 7 (million)
% 0.18/0.50 % (380)------------------------------
% 0.18/0.50 % (380)------------------------------
% 0.18/0.50 % (395)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50 % (382)First to succeed.
% 0.18/0.50 % (382)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (382)------------------------------
% 0.18/0.50 % (382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (382)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (382)Memory used [KB]: 1279
% 0.18/0.50 % (382)Time elapsed: 0.103 s
% 0.18/0.50 % (382)Instructions burned: 10 (million)
% 0.18/0.50 % (382)------------------------------
% 0.18/0.50 % (382)------------------------------
% 0.18/0.50 % (372)Success in time 0.158 s
%------------------------------------------------------------------------------