TSTP Solution File: SEU089+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n009.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 18:26:37 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 63 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 22 ~; 8 |; 25 &)
% ( 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 : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 26 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f355,plain,
$false,
inference(subsumption_resolution,[],[f354,f292]) ).
fof(f292,plain,
finite(sK20),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ~ finite(cartesian_product3(sK20,sK22,sK21))
& finite(sK20)
& finite(sK22)
& finite(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f180,f181]) ).
fof(f181,plain,
( ? [X0,X1,X2] :
( ~ finite(cartesian_product3(X0,X2,X1))
& finite(X0)
& finite(X2)
& finite(X1) )
=> ( ~ finite(cartesian_product3(sK20,sK22,sK21))
& finite(sK20)
& finite(sK22)
& finite(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
? [X0,X1,X2] :
( ~ finite(cartesian_product3(X0,X2,X1))
& finite(X0)
& finite(X2)
& finite(X1) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
? [X1,X0,X2] :
( ~ finite(cartesian_product3(X1,X2,X0))
& finite(X1)
& finite(X2)
& finite(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X1,X0,X2] :
( ~ finite(cartesian_product3(X1,X2,X0))
& finite(X0)
& finite(X2)
& finite(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
~ ! [X1,X0,X2] :
( ( finite(X0)
& finite(X2)
& finite(X1) )
=> finite(cartesian_product3(X1,X2,X0)) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X2,X0,X1] :
( ( finite(X1)
& finite(X2)
& finite(X0) )
=> finite(cartesian_product3(X0,X1,X2)) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X2,X0,X1] :
( ( finite(X1)
& finite(X2)
& finite(X0) )
=> finite(cartesian_product3(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_finset_1) ).
fof(f354,plain,
~ finite(sK20),
inference(subsumption_resolution,[],[f352,f291]) ).
fof(f291,plain,
finite(sK22),
inference(cnf_transformation,[],[f182]) ).
fof(f352,plain,
( ~ finite(sK22)
| ~ finite(sK20) ),
inference(resolution,[],[f347,f199]) ).
fof(f199,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(cartesian_product2(X0,X1))
| ~ finite(X1) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_finset_1) ).
fof(f347,plain,
~ finite(cartesian_product2(sK20,sK22)),
inference(subsumption_resolution,[],[f346,f290]) ).
fof(f290,plain,
finite(sK21),
inference(cnf_transformation,[],[f182]) ).
fof(f346,plain,
( ~ finite(sK21)
| ~ finite(cartesian_product2(sK20,sK22)) ),
inference(resolution,[],[f199,f323]) ).
fof(f323,plain,
~ finite(cartesian_product2(cartesian_product2(sK20,sK22),sK21)),
inference(definition_unfolding,[],[f293,f238]) ).
fof(f238,plain,
! [X2,X0,X1] : cartesian_product2(cartesian_product2(X1,X2),X0) = cartesian_product3(X1,X2,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] : cartesian_product2(cartesian_product2(X1,X2),X0) = cartesian_product3(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(f293,plain,
~ finite(cartesian_product3(sK20,sK22,sK21)),
inference(cnf_transformation,[],[f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 14:34:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (12725)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (12727)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (12717)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)
% 0.19/0.50 % (12719)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)
% 0.19/0.50 % (12708)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)
% 0.19/0.50 % (12725)First to succeed.
% 0.19/0.50 % (12704)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)
% 0.19/0.50 % (12711)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)
% 0.19/0.51 % (12719)Instruction limit reached!
% 0.19/0.51 % (12719)------------------------------
% 0.19/0.51 % (12719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12714)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (12719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12719)Termination reason: Unknown
% 0.19/0.51 % (12719)Termination phase: Preprocessing 1
% 0.19/0.51
% 0.19/0.51 % (12719)Memory used [KB]: 1407
% 0.19/0.51 % (12719)Time elapsed: 0.003 s
% 0.19/0.51 % (12719)Instructions burned: 2 (million)
% 0.19/0.51 % (12719)------------------------------
% 0.19/0.51 % (12719)------------------------------
% 0.19/0.51 % (12703)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (12716)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (12728)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (12708)Also succeeded, but the first one will report.
% 0.19/0.52 % (12725)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (12725)------------------------------
% 0.19/0.52 % (12725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12725)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (12725)Memory used [KB]: 6012
% 0.19/0.52 % (12725)Time elapsed: 0.109 s
% 0.19/0.52 % (12725)Instructions burned: 6 (million)
% 0.19/0.52 % (12725)------------------------------
% 0.19/0.52 % (12725)------------------------------
% 0.19/0.52 % (12696)Success in time 0.167 s
%------------------------------------------------------------------------------