TSTP Solution File: SET595+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET595+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 : n020.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 18:21:32 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 9 unt; 0 def)
% Number of atoms : 175 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 186 ( 71 ~; 70 |; 32 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 97 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(subsumption_resolution,[],[f191,f163]) ).
fof(f163,plain,
~ subset(sK4,sF6),
inference(subsumption_resolution,[],[f162,f68]) ).
fof(f68,plain,
sF6 != sK4,
inference(definition_folding,[],[f60,f67,f66]) ).
fof(f66,plain,
sF5 = difference(sK4,sK3),
introduced(function_definition,[]) ).
fof(f67,plain,
union(sK3,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f60,plain,
sK4 != union(sK3,difference(sK4,sK3)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( subset(sK3,sK4)
& sK4 != union(sK3,difference(sK4,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f16,f38]) ).
fof(f38,plain,
( ? [X0,X1] :
( subset(X0,X1)
& union(X0,difference(X1,X0)) != X1 )
=> ( subset(sK3,sK4)
& sK4 != union(sK3,difference(sK4,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( subset(X0,X1)
& union(X0,difference(X1,X0)) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> union(X0,difference(X1,X0)) = X1 ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> union(X0,difference(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th54) ).
fof(f162,plain,
( ~ subset(sK4,sF6)
| sF6 = sK4 ),
inference(resolution,[],[f160,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f160,plain,
subset(sF6,sK4),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
( subset(sF6,sK4)
| subset(sF6,sK4) ),
inference(resolution,[],[f156,f58]) ).
fof(f58,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK2(X0,X1),X1)
& ~ member(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK2(X0,X1),X1)
& ~ member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f156,plain,
! [X2] :
( ~ member(sK2(sK4,X2),sF6)
| subset(X2,sK4) ),
inference(subsumption_resolution,[],[f154,f139]) ).
fof(f139,plain,
! [X0] :
( ~ member(sK2(sK4,X0),sK3)
| subset(X0,sK4) ),
inference(resolution,[],[f134,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f134,plain,
! [X0] :
( member(X0,sK4)
| ~ member(X0,sK3) ),
inference(resolution,[],[f59,f61]) ).
fof(f61,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f154,plain,
! [X2] :
( ~ member(sK2(sK4,X2),sF6)
| subset(X2,sK4)
| member(sK2(sK4,X2),sK3) ),
inference(resolution,[],[f145,f81]) ).
fof(f81,plain,
! [X8] :
( ~ member(sK2(sK4,X8),sF5)
| subset(X8,sK4) ),
inference(resolution,[],[f57,f76]) ).
fof(f76,plain,
! [X0] :
( member(X0,sK4)
| ~ member(X0,sF5) ),
inference(superposition,[],[f54,f66]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) )
& ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X2,X1] :
( ( member(X1,X0)
& ~ member(X1,X2) )
<=> member(X1,difference(X0,X2)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f145,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF6)
| member(X0,sK3) ),
inference(superposition,[],[f48,f67]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X1,X0))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f191,plain,
subset(sK4,sF6),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f187,plain,
( subset(sK4,sF6)
| subset(sK4,sF6) ),
inference(resolution,[],[f186,f58]) ).
fof(f186,plain,
! [X1] :
( ~ member(sK2(sF6,X1),sK4)
| subset(X1,sF6) ),
inference(subsumption_resolution,[],[f182,f80]) ).
fof(f80,plain,
! [X7] :
( ~ member(sK2(sF6,X7),sK3)
| subset(X7,sF6) ),
inference(resolution,[],[f57,f69]) ).
fof(f69,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sK3) ),
inference(superposition,[],[f49,f67]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f182,plain,
! [X1] :
( ~ member(sK2(sF6,X1),sK4)
| member(sK2(sF6,X1),sK3)
| subset(X1,sF6) ),
inference(resolution,[],[f151,f79]) ).
fof(f79,plain,
! [X6] :
( ~ member(sK2(sF6,X6),sF5)
| subset(X6,sF6) ),
inference(resolution,[],[f57,f72]) ).
fof(f72,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f50,f67]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f151,plain,
! [X0] :
( member(X0,sF5)
| member(X0,sK3)
| ~ member(X0,sK4) ),
inference(superposition,[],[f52,f66]) ).
fof(f52,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:03:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (16531)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (16523)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)
% 0.21/0.50 % (16523)Refutation not found, incomplete strategy% (16523)------------------------------
% 0.21/0.50 % (16523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (16523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (16523)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (16523)Memory used [KB]: 6012
% 0.21/0.50 % (16523)Time elapsed: 0.087 s
% 0.21/0.50 % (16523)Instructions burned: 2 (million)
% 0.21/0.50 % (16523)------------------------------
% 0.21/0.50 % (16523)------------------------------
% 0.21/0.50 % (16531)Refutation not found, incomplete strategy% (16531)------------------------------
% 0.21/0.50 % (16531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (16544)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.50 % (16531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (16531)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (16531)Memory used [KB]: 6012
% 0.21/0.50 % (16531)Time elapsed: 0.103 s
% 0.21/0.50 % (16531)Instructions burned: 3 (million)
% 0.21/0.50 % (16531)------------------------------
% 0.21/0.50 % (16531)------------------------------
% 0.21/0.51 % (16521)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (16520)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52 % (16520)First to succeed.
% 0.21/0.52 % (16520)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (16520)------------------------------
% 0.21/0.52 % (16520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (16520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (16520)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (16520)Memory used [KB]: 6012
% 0.21/0.52 % (16520)Time elapsed: 0.116 s
% 0.21/0.52 % (16520)Instructions burned: 4 (million)
% 0.21/0.52 % (16520)------------------------------
% 0.21/0.52 % (16520)------------------------------
% 0.21/0.52 % (16512)Success in time 0.156 s
%------------------------------------------------------------------------------