TSTP Solution File: SET200+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n023.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 18:24:09 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 108 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 42 ~; 29 |; 27 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 82 ( 63 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(subsumption_resolution,[],[f65,f58]) ).
fof(f58,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK2),
inference(resolution,[],[f53,f52]) ).
fof(f52,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK3),
inference(resolution,[],[f50,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ( member(X0,X1)
| member(X0,X2) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f50,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),union(sK1,sK3)),
inference(resolution,[],[f38,f44]) ).
fof(f44,plain,
~ subset(union(sK0,sK2),union(sK1,sK3)),
inference(forward_demodulation,[],[f43,f29]) ).
fof(f29,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f43,plain,
~ subset(union(sK2,sK0),union(sK1,sK3)),
inference(backward_demodulation,[],[f31,f29]) ).
fof(f31,plain,
~ subset(union(sK2,sK0),union(sK3,sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( subset(sK0,sK1)
& ~ subset(union(sK2,sK0),union(sK3,sK1))
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f15,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2,X3] :
( subset(X0,X1)
& ~ subset(union(X2,X0),union(X3,X1))
& subset(X2,X3) )
=> ( subset(sK0,sK1)
& ~ subset(union(sK2,sK0),union(sK3,sK1))
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( subset(X0,X1)
& ~ subset(union(X2,X0),union(X3,X1))
& subset(X2,X3) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X3,X0,X2,X1] :
( subset(X3,X0)
& ~ subset(union(X2,X3),union(X1,X0))
& subset(X2,X1) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X3,X1,X2] :
( ~ subset(union(X2,X3),union(X1,X0))
& subset(X3,X0)
& subset(X2,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X0,X3,X1,X2] :
( ( subset(X3,X0)
& subset(X2,X1) )
=> subset(union(X2,X3),union(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X3,X1,X0,X2] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(union(X0,X2),union(X1,X3)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X3,X1,X0,X2] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(union(X0,X2),union(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th34) ).
fof(f38,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f53,plain,
! [X0] :
( member(X0,sK3)
| ~ member(X0,sK2) ),
inference(resolution,[],[f39,f30]) ).
fof(f30,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f17]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
member(sK5(union(sK0,sK2),union(sK1,sK3)),sK2),
inference(subsumption_resolution,[],[f62,f59]) ).
fof(f59,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK0),
inference(resolution,[],[f54,f51]) ).
fof(f51,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK1),
inference(resolution,[],[f50,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
! [X1] :
( member(X1,sK1)
| ~ member(X1,sK0) ),
inference(resolution,[],[f39,f32]) ).
fof(f32,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f62,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK0)
| member(sK5(union(sK0,sK2),union(sK1,sK3)),sK2) ),
inference(resolution,[],[f28,f49]) ).
fof(f49,plain,
member(sK5(union(sK0,sK2),union(sK1,sK3)),union(sK0,sK2)),
inference(resolution,[],[f37,f44]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:48:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (30590)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.50 % (30570)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 (3000ds/37Mi)
% 0.19/0.50 % (30582)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 (3000ds/68Mi)
% 0.19/0.51 % (30593)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.51 % (30577)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (30590)First to succeed.
% 0.19/0.51 % (30574)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (30585)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.51 % (30596)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (30572)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (30590)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 % (30590)------------------------------
% 0.19/0.52 % (30590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30590)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (30590)Memory used [KB]: 895
% 0.19/0.52 % (30590)Time elapsed: 0.071 s
% 0.19/0.52 % (30590)Instructions burned: 2 (million)
% 0.19/0.52 % (30590)------------------------------
% 0.19/0.52 % (30590)------------------------------
% 0.19/0.52 % (30567)Success in time 0.176 s
%------------------------------------------------------------------------------