TSTP Solution File: LAT382+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT382+3 : 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 : n007.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 17:37:35 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 190 ( 14 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 212 ( 61 ~; 52 |; 79 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,plain,
$false,
inference(subsumption_resolution,[],[f235,f121]) ).
fof(f121,plain,
xu != xv,
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
xu != xv,
inference(flattening,[],[f19]) ).
fof(f19,negated_conjecture,
xu != xv,
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
xu = xv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f235,plain,
xu = xv,
inference(subsumption_resolution,[],[f234,f136]) ).
fof(f136,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f134,f78]) ).
fof(f78,plain,
aSet0(xT),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__773) ).
fof(f134,plain,
( ~ aSet0(xT)
| aElement0(xu) ),
inference(resolution,[],[f120,f106]) ).
fof(f106,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ! [X0] :
( sdtlseqdt0(X0,xv)
| ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ~ aElementOf0(X0,xT)
| ( aElementOf0(sK3(X0),xS)
& ~ sdtlseqdt0(X0,sK3(X0)) ) ) ) )
& aElementOf0(xu,xT)
& ! [X2] :
( sdtlseqdt0(X2,xu)
| ( ( ~ aElementOf0(X2,xT)
| ( aElementOf0(sK4(X2),xS)
& ~ sdtlseqdt0(X2,sK4(X2)) ) )
& ~ aLowerBoundOfIn0(X2,xS,xT) ) )
& aInfimumOfIn0(xv,xS,xT)
& aInfimumOfIn0(xu,xS,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X4] :
( ~ aElementOf0(X4,xS)
| sdtlseqdt0(xv,X4) )
& ! [X5] :
( sdtlseqdt0(xu,X5)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xu,xS,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f59,f61,f60]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xS)
& ~ sdtlseqdt0(X0,X1) )
=> ( aElementOf0(sK3(X0),xS)
& ~ sdtlseqdt0(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X2] :
( ? [X3] :
( aElementOf0(X3,xS)
& ~ sdtlseqdt0(X2,X3) )
=> ( aElementOf0(sK4(X2),xS)
& ~ sdtlseqdt0(X2,sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ! [X0] :
( sdtlseqdt0(X0,xv)
| ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ~ aElementOf0(X0,xT)
| ? [X1] :
( aElementOf0(X1,xS)
& ~ sdtlseqdt0(X0,X1) ) ) ) )
& aElementOf0(xu,xT)
& ! [X2] :
( sdtlseqdt0(X2,xu)
| ( ( ~ aElementOf0(X2,xT)
| ? [X3] :
( aElementOf0(X3,xS)
& ~ sdtlseqdt0(X2,X3) ) )
& ~ aLowerBoundOfIn0(X2,xS,xT) ) )
& aInfimumOfIn0(xv,xS,xT)
& aInfimumOfIn0(xu,xS,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X4] :
( ~ aElementOf0(X4,xS)
| sdtlseqdt0(xv,X4) )
& ! [X5] :
( sdtlseqdt0(xu,X5)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xu,xS,xT) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( ! [X3] :
( sdtlseqdt0(X3,xv)
| ( ~ aLowerBoundOfIn0(X3,xS,xT)
& ( ~ aElementOf0(X3,xT)
| ? [X4] :
( aElementOf0(X4,xS)
& ~ sdtlseqdt0(X3,X4) ) ) ) )
& aElementOf0(xu,xT)
& ! [X0] :
( sdtlseqdt0(X0,xu)
| ( ( ~ aElementOf0(X0,xT)
| ? [X1] :
( aElementOf0(X1,xS)
& ~ sdtlseqdt0(X0,X1) ) )
& ~ aLowerBoundOfIn0(X0,xS,xT) ) )
& aInfimumOfIn0(xv,xS,xT)
& aInfimumOfIn0(xu,xS,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X5] :
( ~ aElementOf0(X5,xS)
| sdtlseqdt0(xv,X5) )
& ! [X2] :
( sdtlseqdt0(xu,X2)
| ~ aElementOf0(X2,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xu,xS,xT) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
( ! [X5] :
( aElementOf0(X5,xS)
=> sdtlseqdt0(xv,X5) )
& aElementOf0(xu,xT)
& aInfimumOfIn0(xv,xS,xT)
& aElementOf0(xu,xT)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(X0,xu) )
& aLowerBoundOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& ! [X3] :
( ( ( aElementOf0(X3,xT)
& ! [X4] :
( aElementOf0(X4,xS)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,xS,xT) )
=> sdtlseqdt0(X3,xv) )
& aLowerBoundOfIn0(xv,xS,xT)
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& ! [X2] :
( aElementOf0(X2,xS)
=> sdtlseqdt0(xu,X2) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(X0,xu) )
& aElementOf0(xu,xT)
& aLowerBoundOfIn0(xu,xS,xT)
& aInfimumOfIn0(xv,xS,xT)
& aElementOf0(xv,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xu,X0) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X0] :
( ( ( aElementOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) ) )
| aLowerBoundOfIn0(X0,xS,xT) )
=> sdtlseqdt0(X0,xv) )
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xv,X0) )
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__792) ).
fof(f120,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f234,plain,
( ~ aElement0(xu)
| xu = xv ),
inference(subsumption_resolution,[],[f233,f130]) ).
fof(f130,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[],[f109,f94]) ).
fof(f94,plain,
aLowerBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(X0,xv) ),
inference(cnf_transformation,[],[f62]) ).
fof(f233,plain,
( ~ sdtlseqdt0(xu,xv)
| xu = xv
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f226,f135]) ).
fof(f135,plain,
aElement0(xv),
inference(subsumption_resolution,[],[f133,f78]) ).
fof(f133,plain,
( ~ aSet0(xT)
| aElement0(xv) ),
inference(resolution,[],[f120,f95]) ).
fof(f95,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[],[f62]) ).
fof(f226,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| xu = xv
| ~ sdtlseqdt0(xu,xv) ),
inference(resolution,[],[f114,f129]) ).
fof(f129,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[],[f103,f100]) ).
fof(f100,plain,
aLowerBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[],[f62]) ).
fof(f103,plain,
! [X2] :
( ~ aLowerBoundOfIn0(X2,xS,xT)
| sdtlseqdt0(X2,xu) ),
inference(cnf_transformation,[],[f62]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ aElement0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X0)
| X0 = X1
| ~ sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:11:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (25193)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (25185)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (25201)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (25180)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (25178)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (25201)First to succeed.
% 0.20/0.52 % (25185)Instruction limit reached!
% 0.20/0.52 % (25185)------------------------------
% 0.20/0.52 % (25185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25185)Termination reason: Unknown
% 0.20/0.52 % (25185)Termination phase: Naming
% 0.20/0.52
% 0.20/0.52 % (25185)Memory used [KB]: 895
% 0.20/0.52 % (25185)Time elapsed: 0.003 s
% 0.20/0.52 % (25185)Instructions burned: 2 (million)
% 0.20/0.52 % (25185)------------------------------
% 0.20/0.52 % (25185)------------------------------
% 0.20/0.52 % (25201)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (25201)------------------------------
% 0.20/0.52 % (25201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25201)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (25201)Memory used [KB]: 5500
% 0.20/0.52 % (25201)Time elapsed: 0.118 s
% 0.20/0.52 % (25201)Instructions burned: 5 (million)
% 0.20/0.52 % (25201)------------------------------
% 0.20/0.52 % (25201)------------------------------
% 0.20/0.52 % (25176)Success in time 0.168 s
%------------------------------------------------------------------------------