TSTP Solution File: SET590+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET590+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 : n012.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 18:25:00 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 19 |; 14 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 45 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(subsumption_resolution,[],[f30,f28]) ).
fof(f28,plain,
~ member(sK2(sK1,difference(sK1,sK0)),sK1),
inference(resolution,[],[f21,f19]) ).
fof(f19,plain,
~ subset(difference(sK1,sK0),sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
~ subset(difference(sK1,sK0),sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11]) ).
fof(f11,plain,
( ? [X0,X1] : ~ subset(difference(X1,X0),X1)
=> ~ subset(difference(sK1,sK0),sK1) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1] : ~ subset(difference(X1,X0),X1),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X0,X1] : subset(difference(X1,X0),X1),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X0] : subset(difference(X0,X1),X0),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X0] : subset(difference(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th49) ).
fof(f21,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f30,plain,
member(sK2(sK1,difference(sK1,sK0)),sK1),
inference(resolution,[],[f24,f27]) ).
fof(f27,plain,
member(sK2(sK1,difference(sK1,sK0)),difference(sK1,sK0)),
inference(resolution,[],[f20,f19]) ).
fof(f20,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) )
& ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) )
& ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1,X2] :
( member(X1,difference(X0,X2))
<=> ( member(X1,X0)
& ~ member(X1,X2) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:02:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (3437)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)
% 0.21/0.50 % (3429)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)
% 0.21/0.50 % (3437)First to succeed.
% 0.21/0.50 % (3421)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)
% 0.21/0.50 % (3437)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (3437)------------------------------
% 0.21/0.50 % (3437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (3437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (3437)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (3437)Memory used [KB]: 895
% 0.21/0.50 % (3437)Time elapsed: 0.057 s
% 0.21/0.50 % (3437)Instructions burned: 2 (million)
% 0.21/0.50 % (3437)------------------------------
% 0.21/0.50 % (3437)------------------------------
% 0.21/0.50 % (3414)Success in time 0.151 s
%------------------------------------------------------------------------------