TSTP Solution File: SET599+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 09:14:24 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 33 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 5 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f53,f57,f59]) ).
fof(f59,plain,
( spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl4_1
| ~ spl4_3 ),
inference(resolution,[],[f56,f48]) ).
fof(f48,plain,
( ~ subset(difference(sK0,sK1),union(difference(sK0,sK1),difference(sK1,sK0)))
| spl4_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl4_1
<=> subset(difference(sK0,sK1),union(difference(sK0,sK1),difference(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f56,plain,
( ! [X0,X1] : subset(X0,union(X0,X1))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl4_3
<=> ! [X0,X1] : subset(X0,union(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f57,plain,
spl4_3,
inference(avatar_split_clause,[],[f27,f55]) ).
fof(f27,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
fof(f53,plain,
spl4_2,
inference(avatar_split_clause,[],[f26,f51]) ).
fof(f51,plain,
( spl4_2
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f26,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
fof(f49,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f41,f46]) ).
fof(f41,plain,
~ subset(difference(sK0,sK1),union(difference(sK0,sK1),difference(sK1,sK0))),
inference(definition_unfolding,[],[f25,f30]) ).
fof(f30,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f25,plain,
~ subset(difference(sK0,sK1),symmetric_difference(sK0,sK1)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
~ subset(difference(sK0,sK1),symmetric_difference(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13]) ).
fof(f13,plain,
( ? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1))
=> ~ subset(difference(sK0,sK1),symmetric_difference(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th58) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:51:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (11352)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (11359)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (11358)WARNING: value z3 for option sas not known
% 0.20/0.37 % (11361)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (11357)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 % (11358)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (11362)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 TRYING [2]
% 0.20/0.37 % (11360)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (11361)Also succeeded, but the first one will report.
% 0.20/0.37 % (11360)First to succeed.
% 0.20/0.38 % (11360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11352"
% 0.20/0.38 % (11356)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (11360)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (11360)------------------------------
% 0.20/0.38 % (11360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (11360)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (11360)Memory used [KB]: 767
% 0.20/0.38 % (11360)Time elapsed: 0.004 s
% 0.20/0.38 % (11360)Instructions burned: 3 (million)
% 0.20/0.38 % (11352)Success in time 0.02 s
%------------------------------------------------------------------------------