TSTP Solution File: LAT382+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n017.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 17:35:39 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 185 ( 10 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 207 ( 60 ~; 48 |; 79 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(subsumption_resolution,[],[f178,f102]) ).
fof(f102,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f101,f68]) ).
fof(f68,plain,
aSet0(xT),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__773) ).
fof(f101,plain,
( ~ aSet0(xT)
| aElement0(xu) ),
inference(resolution,[],[f67,f77]) ).
fof(f77,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( aElementOf0(xv,xT)
& ! [X0] :
( ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ( ~ sdtlseqdt0(X0,sK2(X0))
& aElementOf0(sK2(X0),xS) )
| ~ aElementOf0(X0,xT) ) )
| sdtlseqdt0(X0,xv) )
& ! [X2] :
( ( ~ aLowerBoundOfIn0(X2,xS,xT)
& ( ~ aElementOf0(X2,xT)
| ( aElementOf0(sK3(X2),xS)
& ~ sdtlseqdt0(X2,sK3(X2)) ) ) )
| sdtlseqdt0(X2,xu) )
& aElementOf0(xu,xT)
& ! [X4] :
( ~ aElementOf0(X4,xS)
| sdtlseqdt0(xv,X4) )
& aInfimumOfIn0(xv,xS,xT)
& ! [X5] :
( ~ aElementOf0(X5,xS)
| sdtlseqdt0(xu,X5) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& aLowerBoundOfIn0(xu,xS,xT)
& aInfimumOfIn0(xu,xS,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f48,f50,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xS) )
=> ( ~ sdtlseqdt0(X0,sK2(X0))
& aElementOf0(sK2(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X2] :
( ? [X3] :
( aElementOf0(X3,xS)
& ~ sdtlseqdt0(X2,X3) )
=> ( aElementOf0(sK3(X2),xS)
& ~ sdtlseqdt0(X2,sK3(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( aElementOf0(xv,xT)
& ! [X0] :
( ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ) )
| sdtlseqdt0(X0,xv) )
& ! [X2] :
( ( ~ aLowerBoundOfIn0(X2,xS,xT)
& ( ~ aElementOf0(X2,xT)
| ? [X3] :
( aElementOf0(X3,xS)
& ~ sdtlseqdt0(X2,X3) ) ) )
| sdtlseqdt0(X2,xu) )
& aElementOf0(xu,xT)
& ! [X4] :
( ~ aElementOf0(X4,xS)
| sdtlseqdt0(xv,X4) )
& aInfimumOfIn0(xv,xS,xT)
& ! [X5] :
( ~ aElementOf0(X5,xS)
| sdtlseqdt0(xu,X5) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& aLowerBoundOfIn0(xu,xS,xT)
& aInfimumOfIn0(xu,xS,xT) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
( aElementOf0(xv,xT)
& ! [X4] :
( ( ~ aLowerBoundOfIn0(X4,xS,xT)
& ( ? [X5] :
( ~ sdtlseqdt0(X4,X5)
& aElementOf0(X5,xS) )
| ~ aElementOf0(X4,xT) ) )
| sdtlseqdt0(X4,xv) )
& ! [X2] :
( ( ~ aLowerBoundOfIn0(X2,xS,xT)
& ( ~ aElementOf0(X2,xT)
| ? [X3] :
( aElementOf0(X3,xS)
& ~ sdtlseqdt0(X2,X3) ) ) )
| sdtlseqdt0(X2,xu) )
& aElementOf0(xu,xT)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(xv,X1) )
& aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(xu,X0) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& aLowerBoundOfIn0(xu,xS,xT)
& aInfimumOfIn0(xu,xS,xT) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
( aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xu,X0) )
& ! [X4] :
( ( aLowerBoundOfIn0(X4,xS,xT)
| ( aElementOf0(X4,xT)
& ! [X5] :
( aElementOf0(X5,xS)
=> sdtlseqdt0(X4,X5) ) ) )
=> sdtlseqdt0(X4,xv) )
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(xv,X1) )
& aLowerBoundOfIn0(xv,xS,xT)
& aInfimumOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& ! [X2] :
( ( aLowerBoundOfIn0(X2,xS,xT)
| ( aElementOf0(X2,xT)
& ! [X3] :
( aElementOf0(X3,xS)
=> sdtlseqdt0(X2,X3) ) ) )
=> sdtlseqdt0(X2,xu) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xu,xS,xT)
& aElementOf0(xu,xT) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xu,X0) )
& aLowerBoundOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xv,X0) )
& aInfimumOfIn0(xu,xS,xT)
& ! [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) )
| aLowerBoundOfIn0(X0,xS,xT) )
=> sdtlseqdt0(X0,xu) )
& aInfimumOfIn0(xv,xS,xT)
& aElementOf0(xu,xT)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( aElementOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) ) ) )
=> sdtlseqdt0(X0,xv) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__792) ).
fof(f67,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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(f178,plain,
~ aElement0(xu),
inference(subsumption_resolution,[],[f177,f103]) ).
fof(f103,plain,
aElement0(xv),
inference(subsumption_resolution,[],[f100,f68]) ).
fof(f100,plain,
( aElement0(xv)
| ~ aSet0(xT) ),
inference(resolution,[],[f67,f76]) ).
fof(f76,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[],[f51]) ).
fof(f177,plain,
( ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f176,f97]) ).
fof(f97,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[],[f84,f75]) ).
fof(f75,plain,
aLowerBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[],[f51]) ).
fof(f84,plain,
! [X2] :
( ~ aLowerBoundOfIn0(X2,xS,xT)
| sdtlseqdt0(X2,xu) ),
inference(cnf_transformation,[],[f51]) ).
fof(f176,plain,
( ~ sdtlseqdt0(xv,xu)
| ~ aElement0(xu)
| ~ aElement0(xv) ),
inference(subsumption_resolution,[],[f164,f65]) ).
fof(f65,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(f164,plain,
( xu = xv
| ~ sdtlseqdt0(xv,xu)
| ~ aElement0(xu)
| ~ aElement0(xv) ),
inference(resolution,[],[f90,f98]) ).
fof(f98,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[],[f87,f74]) ).
fof(f74,plain,
aLowerBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[],[f51]) ).
fof(f87,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(X0,xv) ),
inference(cnf_transformation,[],[f51]) ).
fof(f90,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| X0 = X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X1)
| X0 = X1
| ~ aElement0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,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(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 00:50:20 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (29272)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.46 % (29268)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.46 % (29270)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46 % (29276)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.47 % (29268)First to succeed.
% 0.15/0.47 % (29278)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (29284)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.47 % (29268)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (29268)------------------------------
% 0.15/0.47 % (29268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (29268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (29268)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (29268)Memory used [KB]: 6012
% 0.15/0.47 % (29268)Time elapsed: 0.106 s
% 0.15/0.47 % (29268)Instructions burned: 4 (million)
% 0.15/0.47 % (29268)------------------------------
% 0.15/0.47 % (29268)------------------------------
% 0.15/0.47 % (29261)Success in time 0.16 s
%------------------------------------------------------------------------------