TSTP Solution File: RNG125+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG125+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 : n019.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 22:00:04 EDT 2023
% Result : ContradictoryAxioms 0.16s 0.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 10 unt; 0 def)
% Number of atoms : 249 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 308 ( 122 ~; 102 |; 55 &)
% ( 16 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 93 (; 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f813,plain,
$false,
inference(resolution,[],[f811,f196]) ).
fof(f196,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2091) ).
fof(f811,plain,
~ aElement0(xa),
inference(resolution,[],[f810,f197]) ).
fof(f197,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f810,plain,
( ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(resolution,[],[f809,f198]) ).
fof(f198,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2273) ).
fof(f809,plain,
( ~ aElementOf0(xu,xI)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(duplicate_literal_removal,[],[f805]) ).
fof(f805,plain,
( ~ aElement0(xa)
| ~ aElementOf0(xu,xI)
| ~ aElement0(xb)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(resolution,[],[f801,f749]) ).
fof(f749,plain,
( aSet0(xI)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(resolution,[],[f730,f216]) ).
fof(f216,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( aElement0(X0)
=> aIdeal0(slsdtgt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',mPrIdeal) ).
fof(f730,plain,
( ~ aIdeal0(slsdtgt0(xa))
| ~ aElement0(xb)
| aSet0(xI) ),
inference(resolution,[],[f728,f248]) ).
fof(f248,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f151,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f75,f117]) ).
fof(f117,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f75,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',mDefIdeal) ).
fof(f728,plain,
( ~ aSet0(slsdtgt0(xa))
| aSet0(xI)
| ~ aElement0(xb) ),
inference(resolution,[],[f727,f216]) ).
fof(f727,plain,
( ~ aIdeal0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| aSet0(xI) ),
inference(resolution,[],[f725,f248]) ).
fof(f725,plain,
( ~ aSet0(slsdtgt0(xb))
| aSet0(xI)
| ~ aSet0(slsdtgt0(xa)) ),
inference(superposition,[],[f720,f195]) ).
fof(f195,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2174) ).
fof(f720,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f274]) ).
fof(f274,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) != X2
| aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP5(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP5(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( sP5(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f81,f122]) ).
fof(f122,plain,
! [X1,X0,X2] :
( sP5(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',mDefSSum) ).
fof(f801,plain,
! [X0] :
( ~ aSet0(X0)
| ~ aElement0(xa)
| ~ aElementOf0(xu,X0)
| ~ aElement0(xb) ),
inference(resolution,[],[f798,f215]) ).
fof(f215,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',mEOfElem) ).
fof(f798,plain,
( ~ aElement0(xu)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(resolution,[],[f779,f192]) ).
fof(f192,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2479) ).
fof(f779,plain,
( ~ doDivides0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(duplicate_literal_removal,[],[f778]) ).
fof(f778,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| ~ doDivides0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa) ),
inference(resolution,[],[f775,f230]) ).
fof(f230,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',mDefDvs) ).
fof(f775,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aElement0(xb)
| ~ aElement0(xu) ),
inference(resolution,[],[f526,f191]) ).
fof(f191,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
doDivides0(xu,xb),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2612) ).
fof(f526,plain,
( ~ doDivides0(xu,xb)
| ~ aElement0(xu)
| ~ aElement0(xb)
| ~ aDivisorOf0(xu,xa) ),
inference(resolution,[],[f230,f206]) ).
fof(f206,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341',m__2383) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.32 % Computer : n019.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Aug 30 16:04:42 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.16/0.38 % (32459)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (32463)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.38 % (32461)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.38 % (32466)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)
% 0.16/0.38 % (32462)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)
% 0.16/0.38 % (32464)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)
% 0.16/0.38 % (32465)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)
% 0.16/0.38 % (32460)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 % (32465)First to succeed.
% 0.16/0.41 % (32465)Refutation found. Thanks to Tanya!
% 0.16/0.41 % SZS status ContradictoryAxioms for Vampire---4
% 0.16/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.41 % (32465)------------------------------
% 0.16/0.41 % (32465)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.41 % (32465)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.41 % (32465)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (32465)Memory used [KB]: 1663
% 0.16/0.41 % (32465)Time elapsed: 0.024 s
% 0.16/0.41 % (32465)------------------------------
% 0.16/0.41 % (32465)------------------------------
% 0.16/0.41 % (32459)Success in time 0.085 s
% 0.16/0.41 % Vampire---4.8 exiting
% 0.16/0.41 32462 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.PtZoIhxzvo/Vampire---4.8_32341
% 0.16/0.41 % (32462)------------------------------
% 0.16/0.41 % (32462)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.41 % (32462)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.41 % (32462)Termination reason: Unknown
% 0.16/0.41 % (32462)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (32462)Memory used [KB]: 5500
% 0.16/0.41 % (32462)Time elapsed: 0.026 s
% 0.16/0.41 % (32462)------------------------------
% 0.16/0.41 % (32462)------------------------------
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