TSTP Solution File: SET060+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET060+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n013.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 18:23:25 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 28 ~; 21 |; 16 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(subsumption_resolution,[],[f289,f287]) ).
fof(f287,plain,
~ member(sK3,sK2),
inference(resolution,[],[f286,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( ( ~ member(X0,X1)
& member(X0,universal_class) )
| ~ member(X0,complement(X1)) )
& ( member(X0,complement(X1))
| member(X0,X1)
| ~ member(X0,universal_class) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X1,X0] :
( ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) )
& ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) )
& ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( ~ member(X1,X0)
& member(X1,universal_class) )
<=> member(X1,complement(X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X4] :
( member(X4,complement(X0))
<=> ( member(X4,universal_class)
& ~ member(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f286,plain,
member(sK3,complement(sK2)),
inference(resolution,[],[f189,f186]) ).
fof(f186,plain,
member(sK3,intersection(complement(sK2),sK2)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
member(sK3,intersection(complement(sK2),sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f81,f111]) ).
fof(f111,plain,
( ? [X0,X1] : member(X1,intersection(complement(X0),X0))
=> member(sK3,intersection(complement(sK2),sK2)) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0,X1] : member(X1,intersection(complement(X0),X0)),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X2,X1,X0] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X2,X1,X0] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X2,X1,X0] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X0,X1] :
( member(X4,intersection(X0,X1))
<=> ( member(X4,X1)
& member(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f289,plain,
member(sK3,sK2),
inference(resolution,[],[f190,f186]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET060+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.13/0.34 % Computer : n013.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 13:03:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (4684)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (4684)Instruction limit reached!
% 0.19/0.48 % (4684)------------------------------
% 0.19/0.48 % (4684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (4684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (4684)Termination reason: Unknown
% 0.19/0.48 % (4684)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (4684)Memory used [KB]: 5500
% 0.19/0.48 % (4684)Time elapsed: 0.068 s
% 0.19/0.48 % (4684)Instructions burned: 7 (million)
% 0.19/0.48 % (4684)------------------------------
% 0.19/0.48 % (4684)------------------------------
% 0.19/0.48 % (4677)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)
% 0.19/0.51 % (4682)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (4685)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (4679)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)
% 0.19/0.51 % (4704)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (4690)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (4692)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.53 % (4696)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (4679)First to succeed.
% 0.19/0.53 % (4678)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)
% 0.19/0.53 % (4705)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (4679)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (4679)------------------------------
% 0.19/0.53 % (4679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4679)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (4679)Memory used [KB]: 1151
% 0.19/0.53 % (4679)Time elapsed: 0.126 s
% 0.19/0.53 % (4679)Instructions burned: 7 (million)
% 0.19/0.53 % (4679)------------------------------
% 0.19/0.53 % (4679)------------------------------
% 0.19/0.53 % (4676)Success in time 0.176 s
%------------------------------------------------------------------------------