TSTP Solution File: SET063+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET063+4 : 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 : n016.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 18:18:51 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 43 ~; 36 |; 19 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 57 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f107,f112]) ).
fof(f112,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f109,f79]) ).
fof(f79,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f109,plain,
( member(sK0(intersection(sK2,empty_set),empty_set),empty_set)
| spl4_2 ),
inference(resolution,[],[f100,f69]) ).
fof(f69,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f100,plain,
( ~ subset(empty_set,intersection(sK2,empty_set))
| spl4_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl4_2
<=> subset(empty_set,intersection(sK2,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f107,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f104,f79]) ).
fof(f104,plain,
( member(sK0(empty_set,intersection(sK2,empty_set)),empty_set)
| spl4_1 ),
inference(resolution,[],[f102,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X2,X0] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( member(X2,intersection(X1,X0))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
fof(f102,plain,
( member(sK0(empty_set,intersection(sK2,empty_set)),intersection(sK2,empty_set))
| spl4_1 ),
inference(resolution,[],[f96,f69]) ).
fof(f96,plain,
( ~ subset(intersection(sK2,empty_set),empty_set)
| spl4_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl4_1
<=> subset(intersection(sK2,empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f101,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f92,f98,f94]) ).
fof(f92,plain,
( ~ subset(empty_set,intersection(sK2,empty_set))
| ~ subset(intersection(sK2,empty_set),empty_set) ),
inference(resolution,[],[f76,f80]) ).
fof(f80,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( equal_set(X1,X0)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f76,plain,
~ equal_set(intersection(sK2,empty_set),empty_set),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
~ equal_set(intersection(sK2,empty_set),empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f48]) ).
fof(f48,plain,
( ? [X0] : ~ equal_set(intersection(X0,empty_set),empty_set)
=> ~ equal_set(intersection(sK2,empty_set),empty_set) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] : ~ equal_set(intersection(X0,empty_set),empty_set),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(intersection(X0,empty_set),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(intersection(X0,empty_set),empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % 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 : n016.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
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue Aug 30 13:27:46 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.55 % (17069)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55 % (17072)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (17072)Refutation not found, incomplete strategy% (17072)------------------------------
% 0.19/0.55 % (17072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (17072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (17072)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (17072)Memory used [KB]: 5884
% 0.19/0.55 % (17072)Time elapsed: 0.002 s
% 0.19/0.55 % (17072)Instructions burned: 1 (million)
% 0.19/0.55 % (17072)------------------------------
% 0.19/0.55 % (17072)------------------------------
% 0.19/0.55 % (17071)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 (2999ds/3Mi)
% 0.19/0.56 % (17077)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.56 % (17077)Refutation not found, incomplete strategy% (17077)------------------------------
% 0.19/0.56 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17077)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (17077)Memory used [KB]: 5884
% 0.19/0.56 % (17077)Time elapsed: 0.127 s
% 0.19/0.56 % (17077)Instructions burned: 1 (million)
% 0.19/0.56 % (17077)------------------------------
% 0.19/0.56 % (17077)------------------------------
% 0.19/0.56 % (17095)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (17071)Instruction limit reached!
% 0.19/0.56 % (17071)------------------------------
% 0.19/0.56 % (17071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17071)Termination reason: Unknown
% 0.19/0.56 % (17071)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (17071)Memory used [KB]: 5884
% 0.19/0.56 % (17071)Time elapsed: 0.137 s
% 0.19/0.56 % (17071)Instructions burned: 3 (million)
% 0.19/0.56 % (17071)------------------------------
% 0.19/0.56 % (17071)------------------------------
% 0.19/0.56 % (17095)First to succeed.
% 0.19/0.57 % (17095)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (17095)------------------------------
% 0.19/0.57 % (17095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17095)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (17095)Memory used [KB]: 6012
% 0.19/0.57 % (17095)Time elapsed: 0.135 s
% 0.19/0.57 % (17095)Instructions burned: 2 (million)
% 0.19/0.57 % (17095)------------------------------
% 0.19/0.57 % (17095)------------------------------
% 0.19/0.57 % (17068)Success in time 0.207 s
%------------------------------------------------------------------------------