TSTP Solution File: LAT381+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT381+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 : n025.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 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 183 ( 11 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 204 ( 58 ~; 47 |; 79 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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(f228,plain,
$false,
inference(subsumption_resolution,[],[f227,f128]) ).
fof(f128,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[],[f105,f94]) ).
fof(f94,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0] :
( sdtlseqdt0(X0,xu)
| ~ aElementOf0(X0,xS) )
& aSupremumOfIn0(xu,xS,xT)
& aElementOf0(xu,xT)
& ! [X1] :
( sdtlseqdt0(xu,X1)
| ( ~ aUpperBoundOfIn0(X1,xS,xT)
& ( ~ aElementOf0(X1,xT)
| ( ~ sdtlseqdt0(sK4(X1),X1)
& aElementOf0(sK4(X1),xS) ) ) ) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X3] :
( ( ( ( ~ sdtlseqdt0(sK5(X3),X3)
& aElementOf0(sK5(X3),xS) )
| ~ aElementOf0(X3,xT) )
& ~ aUpperBoundOfIn0(X3,xS,xT) )
| sdtlseqdt0(xv,X3) )
& aElementOf0(xu,xT)
& aSupremumOfIn0(xv,xS,xT)
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X5] :
( ~ aElementOf0(X5,xS)
| sdtlseqdt0(X5,xv) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f60,f62,f61]) ).
fof(f61,plain,
! [X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,xS) )
=> ( ~ sdtlseqdt0(sK4(X1),X1)
& aElementOf0(sK4(X1),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X3] :
( ? [X4] :
( ~ sdtlseqdt0(X4,X3)
& aElementOf0(X4,xS) )
=> ( ~ sdtlseqdt0(sK5(X3),X3)
& aElementOf0(sK5(X3),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ! [X0] :
( sdtlseqdt0(X0,xu)
| ~ aElementOf0(X0,xS) )
& aSupremumOfIn0(xu,xS,xT)
& aElementOf0(xu,xT)
& ! [X1] :
( sdtlseqdt0(xu,X1)
| ( ~ aUpperBoundOfIn0(X1,xS,xT)
& ( ~ aElementOf0(X1,xT)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,xS) ) ) ) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X3] :
( ( ( ? [X4] :
( ~ sdtlseqdt0(X4,X3)
& aElementOf0(X4,xS) )
| ~ aElementOf0(X3,xT) )
& ~ aUpperBoundOfIn0(X3,xS,xT) )
| sdtlseqdt0(xv,X3) )
& aElementOf0(xu,xT)
& aSupremumOfIn0(xv,xS,xT)
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X5] :
( ~ aElementOf0(X5,xS)
| sdtlseqdt0(X5,xv) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
( ! [X3] :
( sdtlseqdt0(X3,xu)
| ~ aElementOf0(X3,xS) )
& aSupremumOfIn0(xu,xS,xT)
& aElementOf0(xu,xT)
& ! [X0] :
( sdtlseqdt0(xu,X0)
| ( ~ aUpperBoundOfIn0(X0,xS,xT)
& ( ~ aElementOf0(X0,xT)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xS) ) ) ) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X4] :
( ( ( ? [X5] :
( ~ sdtlseqdt0(X5,X4)
& aElementOf0(X5,xS) )
| ~ aElementOf0(X4,xT) )
& ~ aUpperBoundOfIn0(X4,xS,xT) )
| sdtlseqdt0(xv,X4) )
& aElementOf0(xu,xT)
& aSupremumOfIn0(xv,xS,xT)
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| sdtlseqdt0(X2,xv) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
( aUpperBoundOfIn0(xu,xS,xT)
& ! [X4] :
( ( aUpperBoundOfIn0(X4,xS,xT)
| ( ! [X5] :
( aElementOf0(X5,xS)
=> sdtlseqdt0(X5,X4) )
& aElementOf0(X4,xT) ) )
=> sdtlseqdt0(xv,X4) )
& aElementOf0(xu,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xv,xS,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X3] :
( aElementOf0(X3,xS)
=> sdtlseqdt0(X3,xu) )
& ! [X2] :
( aElementOf0(X2,xS)
=> sdtlseqdt0(X2,xv) )
& aElementOf0(xv,xT)
& aElementOf0(xu,xT)
& ! [X0] :
( ( ( aElementOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xS,xT) )
=> sdtlseqdt0(xu,X0) )
& aUpperBoundOfIn0(xv,xS,xT) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
( aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X0] :
( ( ( aElementOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xS,xT) )
=> sdtlseqdt0(xu,X0) )
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,xv) )
& aElementOf0(xu,xT)
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,xu) )
& aElementOf0(xu,xT)
& ! [X0] :
( ( ( aElementOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xS,xT) )
=> sdtlseqdt0(xv,X0) )
& aSupremumOfIn0(xv,xS,xT)
& aUpperBoundOfIn0(xu,xS,xT)
& aElementOf0(xv,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).
fof(f105,plain,
! [X1] :
( ~ aUpperBoundOfIn0(X1,xS,xT)
| sdtlseqdt0(xu,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f227,plain,
~ sdtlseqdt0(xu,xv),
inference(subsumption_resolution,[],[f226,f142]) ).
fof(f142,plain,
aElement0(xu),
inference(resolution,[],[f131,f106]) ).
fof(f106,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f63]) ).
fof(f131,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElement0(X0) ),
inference(resolution,[],[f121,f85]) ).
fof(f85,plain,
aSet0(xT),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725) ).
fof(f121,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
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(f226,plain,
( ~ aElement0(xu)
| ~ sdtlseqdt0(xu,xv) ),
inference(subsumption_resolution,[],[f218,f122]) ).
fof(f122,plain,
xu != xv,
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
xu != xv,
inference(flattening,[],[f18]) ).
fof(f18,negated_conjecture,
xu != xv,
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
xu = xv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f218,plain,
( xu = xv
| ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xu) ),
inference(resolution,[],[f179,f127]) ).
fof(f127,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[],[f97,f100]) ).
fof(f100,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[],[f63]) ).
fof(f97,plain,
! [X3] :
( ~ aUpperBoundOfIn0(X3,xS,xT)
| sdtlseqdt0(xv,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f179,plain,
! [X0] :
( ~ sdtlseqdt0(xv,X0)
| ~ sdtlseqdt0(X0,xv)
| xv = X0
| ~ aElement0(X0) ),
inference(resolution,[],[f83,f141]) ).
fof(f141,plain,
aElement0(xv),
inference(resolution,[],[f131,f102]) ).
fof(f102,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[],[f63]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| X0 = X1
| ~ sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( 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
% 0.11/0.12 % Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:35:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (11875)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.49 % (11875)First to succeed.
% 0.20/0.50 % (11883)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (11867)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (11868)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (11860)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50 % (11871)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (11870)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (11876)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 % (11875)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (11875)------------------------------
% 0.20/0.51 % (11875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (11875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (11875)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (11875)Memory used [KB]: 1023
% 0.20/0.51 % (11875)Time elapsed: 0.111 s
% 0.20/0.51 % (11875)Instructions burned: 8 (million)
% 0.20/0.51 % (11875)------------------------------
% 0.20/0.51 % (11875)------------------------------
% 0.20/0.51 % (11859)Success in time 0.162 s
%------------------------------------------------------------------------------