TSTP Solution File: SET910+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET910+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 : 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 18:26:04 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 26 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 2 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
$false,
inference(subsumption_resolution,[],[f32,f29]) ).
fof(f29,plain,
singleton(sK3) = set_intersection2(sK2,singleton(sK3)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ~ in(sK3,sK2)
& singleton(sK3) = set_intersection2(sK2,singleton(sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f20,f21]) ).
fof(f21,plain,
( ? [X0,X1] :
( ~ in(X1,X0)
& singleton(X1) = set_intersection2(X0,singleton(X1)) )
=> ( ~ in(sK3,sK2)
& singleton(sK3) = set_intersection2(sK2,singleton(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1] :
( ~ in(X1,X0)
& singleton(X1) = set_intersection2(X0,singleton(X1)) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X1,X0] :
( ~ in(X0,X1)
& set_intersection2(X1,singleton(X0)) = singleton(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X1,X0] :
( set_intersection2(X1,singleton(X0)) = singleton(X0)
=> in(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X0] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X0] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_zfmisc_1) ).
fof(f32,plain,
singleton(sK3) != set_intersection2(sK2,singleton(sK3)),
inference(resolution,[],[f25,f30]) ).
fof(f30,plain,
~ in(sK3,sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( in(X1,X0)
| singleton(X1) != set_intersection2(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( singleton(X1) != set_intersection2(X0,singleton(X1))
| in(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET910+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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 14:39:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (4493)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.50 % (4478)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (4495)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 % (4484)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 % (4493)First to succeed.
% 0.19/0.51 % (4470)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 (3000ds/191324Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.52 % (4493)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 % (4493)------------------------------
% 0.19/0.52 % (4493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4493)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (4493)Memory used [KB]: 5373
% 0.19/0.52 % (4493)Time elapsed: 0.112 s
% 0.19/0.52 % (4493)Instructions burned: 2 (million)
% 0.19/0.52 % (4493)------------------------------
% 0.19/0.52 % (4493)------------------------------
% 0.19/0.52 % (4469)Success in time 0.163 s
%------------------------------------------------------------------------------