TSTP Solution File: SEU089+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n008.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 18:31:55 EDT 2022
% Result : Theorem 1.50s 0.56s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 72 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 66 ( 25 ~; 12 |; 24 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f556,plain,
$false,
inference(subsumption_resolution,[],[f555,f274]) ).
fof(f274,plain,
finite(sK18),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ~ finite(cartesian_product3(sK18,sK17,sK16))
& finite(sK16)
& finite(sK17)
& finite(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f170,f171]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ~ finite(cartesian_product3(X2,X1,X0))
& finite(X0)
& finite(X1)
& finite(X2) )
=> ( ~ finite(cartesian_product3(sK18,sK17,sK16))
& finite(sK16)
& finite(sK17)
& finite(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
? [X0,X1,X2] :
( ~ finite(cartesian_product3(X2,X1,X0))
& finite(X0)
& finite(X1)
& finite(X2) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
? [X2,X1,X0] :
( ~ finite(cartesian_product3(X0,X1,X2))
& finite(X2)
& finite(X1)
& finite(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
? [X0,X1,X2] :
( ~ finite(cartesian_product3(X0,X1,X2))
& finite(X2)
& finite(X1)
& finite(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2] :
( ( finite(X2)
& finite(X1)
& finite(X0) )
=> finite(cartesian_product3(X0,X1,X2)) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X0,X1,X2] :
( ( finite(X2)
& finite(X1)
& finite(X0) )
=> finite(cartesian_product3(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_finset_1) ).
fof(f555,plain,
~ finite(sK18),
inference(subsumption_resolution,[],[f554,f275]) ).
fof(f275,plain,
finite(sK17),
inference(cnf_transformation,[],[f172]) ).
fof(f554,plain,
( ~ finite(sK17)
| ~ finite(sK18) ),
inference(subsumption_resolution,[],[f550,f553]) ).
fof(f553,plain,
~ finite(sF29),
inference(subsumption_resolution,[],[f552,f327]) ).
fof(f327,plain,
~ finite(sF30),
inference(definition_folding,[],[f324,f326,f325]) ).
fof(f325,plain,
cartesian_product2(sK18,sK17) = sF29,
introduced(function_definition,[]) ).
fof(f326,plain,
cartesian_product2(sF29,sK16) = sF30,
introduced(function_definition,[]) ).
fof(f324,plain,
~ finite(cartesian_product2(cartesian_product2(sK18,sK17),sK16)),
inference(definition_unfolding,[],[f277,f310]) ).
fof(f310,plain,
! [X2,X0,X1] : cartesian_product3(X2,X0,X1) = cartesian_product2(cartesian_product2(X2,X0),X1),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2] : cartesian_product3(X2,X0,X1) = cartesian_product2(cartesian_product2(X2,X0),X1),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] : cartesian_product3(X1,X2,X0) = cartesian_product2(cartesian_product2(X1,X2),X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : cartesian_product3(X0,X1,X2) = cartesian_product2(cartesian_product2(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_zfmisc_1) ).
fof(f277,plain,
~ finite(cartesian_product3(sK18,sK17,sK16)),
inference(cnf_transformation,[],[f172]) ).
fof(f552,plain,
( ~ finite(sF29)
| finite(sF30) ),
inference(subsumption_resolution,[],[f551,f276]) ).
fof(f276,plain,
finite(sK16),
inference(cnf_transformation,[],[f172]) ).
fof(f551,plain,
( ~ finite(sK16)
| finite(sF30)
| ~ finite(sF29) ),
inference(superposition,[],[f322,f326]) ).
fof(f322,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X0)
| ~ finite(X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(cartesian_product2(X1,X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f550,plain,
( finite(sF29)
| ~ finite(sK18)
| ~ finite(sK17) ),
inference(superposition,[],[f322,f325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:40:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (9537)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (9519)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (9513)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)
% 1.50/0.55 % (9527)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.55 TRYING [2]
% 1.50/0.55 % (9520)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55 % (9516)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)
% 1.50/0.55 % (9528)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)
% 1.50/0.55 % (9515)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.50/0.55 % (9537)First to succeed.
% 1.50/0.55 % (9527)Also succeeded, but the first one will report.
% 1.50/0.55 % (9520)Instruction limit reached!
% 1.50/0.55 % (9520)------------------------------
% 1.50/0.55 % (9520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (9537)Refutation found. Thanks to Tanya!
% 1.50/0.56 % SZS status Theorem for theBenchmark
% 1.50/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56 % (9537)------------------------------
% 1.50/0.56 % (9537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (9537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (9537)Termination reason: Refutation
% 1.50/0.56
% 1.50/0.56 % (9537)Memory used [KB]: 5628
% 1.50/0.56 % (9537)Time elapsed: 0.135 s
% 1.50/0.56 % (9537)Instructions burned: 9 (million)
% 1.50/0.56 % (9537)------------------------------
% 1.50/0.56 % (9537)------------------------------
% 1.50/0.56 % (9512)Success in time 0.204 s
%------------------------------------------------------------------------------