TSTP Solution File: LAT388+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT388+4 : 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_uns --cores 0 -t %d %s
% Computer : n004.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 17:35:42 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 146 ( 5 equ)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 174 ( 46 ~; 33 |; 78 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 32 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f314,plain,
$false,
inference(subsumption_resolution,[],[f197,f184]) ).
fof(f184,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ~ aElementOf0(X0,xS)
| ( ~ sdtlseqdt0(sK7(X0),X0)
& aElementOf0(sK7(X0),xT) ) ) )
| sP0(X0)
| ~ aElementOf0(X0,xS) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f83,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK7(X0),X0)
& aElementOf0(sK7(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ( ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) ) )
| sP0(X0)
| ~ aElementOf0(X0,xS) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(definition_folding,[],[f52,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ aElementOf0(X3,xT)
| sdtlseqdt0(X3,X2) )
& aUpperBoundOfIn0(X2,xT,xS)
& aElementOf0(X2,xS)
& ~ sdtlseqdt0(X0,X2) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52,plain,
! [X0] :
( ( ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) ) )
| ? [X2] :
( ! [X3] :
( ~ aElementOf0(X3,xT)
| sdtlseqdt0(X3,X2) )
& aUpperBoundOfIn0(X2,xT,xS)
& aElementOf0(X2,xS)
& ~ sdtlseqdt0(X0,X2) )
| ~ aElementOf0(X0,xS) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ? [X2] :
( ~ sdtlseqdt0(X0,X2)
& aElementOf0(X2,xS)
& aUpperBoundOfIn0(X2,xT,xS)
& ! [X3] :
( ~ aElementOf0(X3,xT)
| sdtlseqdt0(X3,X2) ) )
| ~ aElementOf0(X0,xS)
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) ) ) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ? [X0] :
( ( ! [X2] :
( ( aElementOf0(X2,xS)
& aUpperBoundOfIn0(X2,xT,xS)
& ! [X3] :
( aElementOf0(X3,xT)
=> sdtlseqdt0(X3,X2) ) )
=> sdtlseqdt0(X0,X2) )
& aElementOf0(X0,xS)
& ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) ) )
| aSupremumOfIn0(X0,xT,xS) ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ? [X0] :
( aSupremumOfIn0(X0,xT,xS)
| ( ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
& aElementOf0(X0,xS)
& ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(X0,X1) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
? [X0] :
( aSupremumOfIn0(X0,xT,xS)
| ( ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
& aElementOf0(X0,xS)
& ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f197,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( xp = sdtlpdtrp0(xf,xp)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xT) )
& aUpperBoundOfIn0(xp,xT,xS)
& aFixedPointOf0(xp,xf)
& ! [X1] :
( ( ~ aUpperBoundOfIn0(X1,xT,xS)
& ( ~ aElementOf0(X1,xS)
| ( ~ sdtlseqdt0(sK11(X1),X1)
& aElementOf0(sK11(X1),xT) ) ) )
| sdtlseqdt0(xp,X1) )
& aElementOf0(xp,szDzozmdt0(xf))
& aSupremumOfIn0(xp,xT,xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f113,f114]) ).
fof(f114,plain,
! [X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,xT) )
=> ( ~ sdtlseqdt0(sK11(X1),X1)
& aElementOf0(sK11(X1),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( xp = sdtlpdtrp0(xf,xp)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xT) )
& aUpperBoundOfIn0(xp,xT,xS)
& aFixedPointOf0(xp,xf)
& ! [X1] :
( ( ~ aUpperBoundOfIn0(X1,xT,xS)
& ( ~ aElementOf0(X1,xS)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,xT) ) ) )
| sdtlseqdt0(xp,X1) )
& aElementOf0(xp,szDzozmdt0(xf))
& aSupremumOfIn0(xp,xT,xS) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
( xp = sdtlpdtrp0(xf,xp)
& ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(xp,xT,xS)
& aFixedPointOf0(xp,xf)
& ! [X0] :
( ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) ) )
| sdtlseqdt0(xp,X0) )
& aElementOf0(xp,szDzozmdt0(xf))
& aSupremumOfIn0(xp,xT,xS) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
( xp = sdtlpdtrp0(xf,xp)
& aFixedPointOf0(xp,xf)
& aElementOf0(xp,szDzozmdt0(xf))
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
=> sdtlseqdt0(xp,X0) )
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,xp) )
& aUpperBoundOfIn0(xp,xT,xS)
& aSupremumOfIn0(xp,xT,xS) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
=> sdtlseqdt0(xp,X0) )
& aFixedPointOf0(xp,xf)
& aElementOf0(xp,szDzozmdt0(xf))
& aSupremumOfIn0(xp,xT,xS)
& aUpperBoundOfIn0(xp,xT,xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
& xp = sdtlpdtrp0(xf,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1330) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 01:23:35 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (11536)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (11529)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (11528)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52 % (11536)Instruction limit reached!
% 0.21/0.52 % (11536)------------------------------
% 0.21/0.52 % (11536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (11543)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (11543)Instruction limit reached!
% 0.21/0.52 % (11543)------------------------------
% 0.21/0.52 % (11543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (11543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (11543)Termination reason: Unknown
% 0.21/0.52 % (11543)Termination phase: Preprocessing 2
% 0.21/0.52
% 0.21/0.52 % (11543)Memory used [KB]: 1407
% 0.21/0.52 % (11543)Time elapsed: 0.002 s
% 0.21/0.52 % (11543)Instructions burned: 2 (million)
% 0.21/0.52 % (11543)------------------------------
% 0.21/0.52 % (11543)------------------------------
% 0.21/0.53 % (11529)First to succeed.
% 0.21/0.53 % (11528)Instruction limit reached!
% 0.21/0.53 % (11528)------------------------------
% 0.21/0.53 % (11528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11536)Termination reason: Unknown
% 0.21/0.53 % (11536)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11536)Memory used [KB]: 6140
% 0.21/0.53 % (11536)Time elapsed: 0.006 s
% 0.21/0.53 % (11536)Instructions burned: 8 (million)
% 0.21/0.53 % (11536)------------------------------
% 0.21/0.53 % (11536)------------------------------
% 0.21/0.53 % (11542)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (11525)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (11542)Instruction limit reached!
% 0.21/0.53 % (11542)------------------------------
% 0.21/0.53 % (11542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11542)Termination reason: Unknown
% 0.21/0.53 % (11542)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (11542)Memory used [KB]: 1535
% 0.21/0.53 % (11542)Time elapsed: 0.003 s
% 0.21/0.53 % (11542)Instructions burned: 3 (million)
% 0.21/0.53 % (11542)------------------------------
% 0.21/0.53 % (11542)------------------------------
% 0.21/0.53 % (11528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11528)Termination reason: Unknown
% 0.21/0.53 % (11528)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11528)Memory used [KB]: 6140
% 0.21/0.53 % (11528)Time elapsed: 0.107 s
% 0.21/0.53 % (11528)Instructions burned: 14 (million)
% 0.21/0.53 % (11528)------------------------------
% 0.21/0.53 % (11528)------------------------------
% 0.21/0.53 % (11525)Instruction limit reached!
% 0.21/0.53 % (11525)------------------------------
% 0.21/0.53 % (11525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11525)Termination reason: Unknown
% 0.21/0.53 % (11525)Termination phase: Property scanning
% 0.21/0.53
% 0.21/0.53 % (11525)Memory used [KB]: 1535
% 0.21/0.53 % (11525)Time elapsed: 0.003 s
% 0.21/0.53 % (11525)Instructions burned: 4 (million)
% 0.21/0.53 % (11525)------------------------------
% 0.21/0.53 % (11525)------------------------------
% 0.21/0.53 % (11537)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.53 % (11529)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (11529)------------------------------
% 0.21/0.53 % (11529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11529)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (11529)Memory used [KB]: 1663
% 0.21/0.53 % (11529)Time elapsed: 0.105 s
% 0.21/0.53 % (11529)Instructions burned: 7 (million)
% 0.21/0.53 % (11529)------------------------------
% 0.21/0.53 % (11529)------------------------------
% 0.21/0.53 % (11520)Success in time 0.161 s
%------------------------------------------------------------------------------