TSTP Solution File: NUM555+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Fri Sep 1 20:20:41 EDT 2023
% Result : Theorem 1.28s 0.59s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 172 ( 34 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 227 ( 85 ~; 77 |; 54 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 61 (; 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3186,plain,
$false,
inference(resolution,[],[f3184,f230]) ).
fof(f230,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(flattening,[],[f72]) ).
fof(f72,negated_conjecture,
~ ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox2/tmp/tmp.6zQlQoskOX/Vampire---4.8_4485',m__) ).
fof(f3184,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(resolution,[],[f3178,f242]) ).
fof(f242,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.6zQlQoskOX/Vampire---4.8_4485',m__2291) ).
fof(f3178,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(resolution,[],[f3125,f237]) ).
fof(f237,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox2/tmp/tmp.6zQlQoskOX/Vampire---4.8_4485',m__2304) ).
fof(f3125,plain,
! [X138] :
( ~ aElement0(X138)
| ~ aElementOf0(xx,sdtmndt0(xQ,X138))
| ~ aSet0(xQ) ),
inference(resolution,[],[f835,f231]) ).
fof(f231,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/tmp/tmp.6zQlQoskOX/Vampire---4.8_4485',m__2323) ).
fof(f835,plain,
! [X2,X3,X4] :
( aElementOf0(X4,X3)
| ~ aSet0(X3)
| ~ aElementOf0(X4,sdtmndt0(X3,X2))
| ~ aElement0(X2) ),
inference(resolution,[],[f833,f325]) ).
fof(f325,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( sK14(X0,X1,X2) = X0
| ~ aElementOf0(sK14(X0,X1,X2),X1)
| ~ aElement0(sK14(X0,X1,X2))
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sK14(X0,X1,X2) != X0
& aElementOf0(sK14(X0,X1,X2),X1)
& aElement0(sK14(X0,X1,X2)) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f213,f214]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK14(X0,X1,X2) = X0
| ~ aElementOf0(sK14(X0,X1,X2),X1)
| ~ aElement0(sK14(X0,X1,X2))
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sK14(X0,X1,X2) != X0
& aElementOf0(sK14(X0,X1,X2),X1)
& aElement0(sK14(X0,X1,X2)) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X1,X0,X2] :
( sP3(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f833,plain,
! [X0,X1] :
( sP3(X0,X1,sdtmndt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f333]) ).
fof(f333,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) != X2
| sP3(X1,X0,X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP3(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f137,f167]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6zQlQoskOX/Vampire---4.8_4485',mDefDiff) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 14:59:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % (4657)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (4658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.13/0.38 % (4662)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 Vampire---4 for (531ds/0Mi)
% 0.13/0.38 % (4659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.13/0.38 % (4661)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.13/0.38 % (4660)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 Vampire---4 for (569ds/0Mi)
% 0.13/0.38 % (4663)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 Vampire---4 for (522ds/0Mi)
% 0.13/0.38 % (4664)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 Vampire---4 for (497ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [4]
% 0.20/0.41 TRYING [3]
% 0.20/0.44 TRYING [5]
% 0.20/0.45 TRYING [4]
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 1.13/0.53 TRYING [5]
% 1.28/0.54 TRYING [4]
% 1.28/0.58 % (4663)First to succeed.
% 1.28/0.59 % (4663)Refutation found. Thanks to Tanya!
% 1.28/0.59 % SZS status Theorem for Vampire---4
% 1.28/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 1.28/0.59 % (4663)------------------------------
% 1.28/0.59 % (4663)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.28/0.59 % (4663)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.28/0.59 % (4663)Termination reason: Refutation
% 1.28/0.59
% 1.28/0.59 % (4663)Memory used [KB]: 4861
% 1.28/0.59 % (4663)Time elapsed: 0.204 s
% 1.28/0.59 % (4663)------------------------------
% 1.28/0.59 % (4663)------------------------------
% 1.28/0.59 % (4657)Success in time 0.241 s
% 1.28/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------