TSTP Solution File: SET200+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n028.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 18:19:45 EDT 2022
% Result : Theorem 1.04s 0.65s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 49 ~; 39 |; 29 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 65 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f91,f97]) ).
fof(f97,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f92,f81]) ).
fof(f81,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK0),
inference(resolution,[],[f55,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,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(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0,X2] :
( ( member(X1,X0)
| member(X1,X2) )
<=> member(X1,union(X0,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f55,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),union(sK0,sK2)),
inference(resolution,[],[f32,f44]) ).
fof(f44,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ member(sK5(X0,X1),X0)
& member(sK5(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK5(X0,X1),X0)
& member(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f32,plain,
~ subset(union(sK1,sK3),union(sK0,sK2)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( subset(sK1,sK0)
& ~ subset(union(sK1,sK3),union(sK0,sK2))
& subset(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2,X3] :
( subset(X1,X0)
& ~ subset(union(X1,X3),union(X0,X2))
& subset(X3,X2) )
=> ( subset(sK1,sK0)
& ~ subset(union(sK1,sK3),union(sK0,sK2))
& subset(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2,X3] :
( subset(X1,X0)
& ~ subset(union(X1,X3),union(X0,X2))
& subset(X3,X2) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
? [X2,X0,X3,X1] :
( subset(X0,X2)
& ~ subset(union(X0,X1),union(X2,X3))
& subset(X1,X3) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X1,X3,X0,X2] :
( ~ subset(union(X0,X1),union(X2,X3))
& subset(X0,X2)
& subset(X1,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X1,X3,X0,X2] :
( ( subset(X0,X2)
& subset(X1,X3) )
=> subset(union(X0,X1),union(X2,X3)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X2,X1,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(union(X0,X2),union(X1,X3)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X2,X1,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(union(X0,X2),union(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th34) ).
fof(f92,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK0)
| ~ spl7_1 ),
inference(resolution,[],[f75,f53]) ).
fof(f53,plain,
! [X0] :
( ~ member(X0,sK1)
| member(X0,sK0) ),
inference(resolution,[],[f33,f42]) ).
fof(f42,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f33,plain,
subset(sK1,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f75,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK1)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl7_1
<=> member(sK5(union(sK0,sK2),union(sK1,sK3)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f91,plain,
~ spl7_2,
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f86,f82]) ).
fof(f82,plain,
~ member(sK5(union(sK0,sK2),union(sK1,sK3)),sK2),
inference(resolution,[],[f55,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f86,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK2)
| ~ spl7_2 ),
inference(resolution,[],[f79,f52]) ).
fof(f52,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sK2) ),
inference(resolution,[],[f31,f42]) ).
fof(f31,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f79,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK3)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl7_2
<=> member(sK5(union(sK0,sK2),union(sK1,sK3)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f80,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f68,f77,f73]) ).
fof(f68,plain,
( member(sK5(union(sK0,sK2),union(sK1,sK3)),sK3)
| member(sK5(union(sK0,sK2),union(sK1,sK3)),sK1) ),
inference(resolution,[],[f54,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,union(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
member(sK5(union(sK0,sK2),union(sK1,sK3)),union(sK1,sK3)),
inference(resolution,[],[f32,f43]) ).
fof(f43,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET200+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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 13:35:33 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.76/0.62 % (5783)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.04/0.64 % (5791)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/12Mi)
% 1.04/0.64 % (5783)Refutation not found, incomplete strategy% (5783)------------------------------
% 1.04/0.64 % (5783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.04/0.64 % (5783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.04/0.64 % (5783)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.64
% 1.04/0.64 % (5783)Memory used [KB]: 5884
% 1.04/0.64 % (5783)Time elapsed: 0.079 s
% 1.04/0.64 % (5783)Instructions burned: 2 (million)
% 1.04/0.64 % (5783)------------------------------
% 1.04/0.64 % (5783)------------------------------
% 1.04/0.64 % (5799)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.04/0.64 % (5799)Instruction limit reached!
% 1.04/0.64 % (5799)------------------------------
% 1.04/0.64 % (5799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.04/0.64 % (5799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.04/0.64 % (5799)Termination reason: Unknown
% 1.04/0.64 % (5799)Termination phase: Saturation
% 1.04/0.64
% 1.04/0.64 % (5799)Memory used [KB]: 5884
% 1.04/0.64 % (5799)Time elapsed: 0.083 s
% 1.04/0.64 % (5799)Instructions burned: 2 (million)
% 1.04/0.64 % (5799)------------------------------
% 1.04/0.64 % (5799)------------------------------
% 1.04/0.64 % (5791)First to succeed.
% 1.04/0.65 % (5791)Refutation found. Thanks to Tanya!
% 1.04/0.65 % SZS status Theorem for theBenchmark
% 1.04/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.65 % (5791)------------------------------
% 1.04/0.65 % (5791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.04/0.65 % (5791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.04/0.65 % (5791)Termination reason: Refutation
% 1.04/0.65
% 1.04/0.65 % (5791)Memory used [KB]: 6012
% 1.04/0.65 % (5791)Time elapsed: 0.083 s
% 1.04/0.65 % (5791)Instructions burned: 2 (million)
% 1.04/0.65 % (5791)------------------------------
% 1.04/0.65 % (5791)------------------------------
% 1.04/0.65 % (5600)Success in time 0.295 s
%------------------------------------------------------------------------------