TSTP Solution File: NUM617+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM617+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 : n012.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 20:21:15 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 93 ( 1 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 107 ( 48 ~; 35 |; 19 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 31 (; 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f847,plain,
$false,
inference(resolution,[],[f846,f367]) ).
fof(f367,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__5348) ).
fof(f846,plain,
~ aElementOf0(xx,xP),
inference(resolution,[],[f844,f401]) ).
fof(f401,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__4908) ).
fof(f844,plain,
( ~ aSet0(xO)
| ~ aElementOf0(xx,xP) ),
inference(resolution,[],[f842,f615]) ).
fof(f615,plain,
( aSet0(xQ)
| ~ aSet0(xO) ),
inference(resolution,[],[f482,f407]) ).
fof(f407,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__5093) ).
fof(f482,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f298,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f297]) ).
fof(f297,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',mDefSub) ).
fof(f842,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(xx,xP) ),
inference(resolution,[],[f822,f363]) ).
fof(f363,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__5195) ).
fof(f822,plain,
! [X0] :
( ~ aSubsetOf0(X0,xQ)
| ~ aElementOf0(xx,X0)
| ~ aSet0(xQ) ),
inference(resolution,[],[f821,f483]) ).
fof(f483,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f821,plain,
~ aElementOf0(xx,xQ),
inference(resolution,[],[f817,f439]) ).
fof(f439,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',mNATSet) ).
fof(f817,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xx,xQ) ),
inference(resolution,[],[f797,f365]) ).
fof(f365,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__5106) ).
fof(f797,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(xx,X0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f483,f360]) ).
fof(f360,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
~ aElementOf0(xx,szNzAzT0),
inference(flattening,[],[f115]) ).
fof(f115,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[],[f114]) ).
fof(f114,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.hxkrC661jo/Vampire---4.8_13102',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 30 14:55:53 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.21/0.43 % (13403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (13430)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (13431)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (13433)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (13432)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)
% 0.21/0.43 % (13434)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)
% 0.21/0.43 % (13435)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)
% 0.21/0.43 % (13436)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)
% 0.21/0.45 TRYING [1]
% 0.21/0.45 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.45 TRYING [2]
% 0.21/0.46 % (13435)First to succeed.
% 0.21/0.46 % (13435)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (13435)------------------------------
% 0.21/0.46 % (13435)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (13435)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (13435)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (13435)Memory used [KB]: 1791
% 0.21/0.46 % (13435)Time elapsed: 0.023 s
% 0.21/0.46 % (13435)------------------------------
% 0.21/0.46 % (13435)------------------------------
% 0.21/0.46 % (13403)Success in time 0.086 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------