TSTP Solution File: SET584+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET584+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 : n001.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 18:21:30 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 36 ~; 28 |; 17 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(subsumption_resolution,[],[f73,f58]) ).
fof(f58,plain,
~ member(sK0(union(sK2,sK1),union(sK3,sK1)),sK3),
inference(resolution,[],[f49,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1) )
<=> member(X0,union(X2,X1)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f49,plain,
~ member(sK0(union(sK2,sK1),union(sK3,sK1)),union(sK3,sK1)),
inference(resolution,[],[f34,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( ! [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/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f34,plain,
~ subset(union(sK2,sK1),union(sK3,sK1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ~ subset(union(sK2,sK1),union(sK3,sK1))
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f20,f21]) ).
fof(f21,plain,
( ? [X0,X1,X2] :
( ~ subset(union(X1,X0),union(X2,X0))
& subset(X1,X2) )
=> ( ~ subset(union(sK2,sK1),union(sK3,sK1))
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ subset(union(X1,X0),union(X2,X0))
& subset(X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X1,X2,X0] :
( ~ subset(union(X2,X1),union(X0,X1))
& subset(X2,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ! [X0,X1,X2] :
( subset(X2,X0)
=> subset(union(X2,X1),union(X0,X1)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X2,X0] :
( subset(X0,X1)
=> subset(union(X0,X2),union(X1,X2)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X2,X0] :
( subset(X0,X1)
=> subset(union(X0,X2),union(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th33) ).
fof(f73,plain,
member(sK0(union(sK2,sK1),union(sK3,sK1)),sK3),
inference(resolution,[],[f66,f48]) ).
fof(f48,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sK3) ),
inference(resolution,[],[f33,f30]) ).
fof(f30,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ subset(X0,X1)
| member(X3,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f66,plain,
member(sK0(union(sK2,sK1),union(sK3,sK1)),sK2),
inference(subsumption_resolution,[],[f62,f57]) ).
fof(f57,plain,
~ member(sK0(union(sK2,sK1),union(sK3,sK1)),sK1),
inference(resolution,[],[f49,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f62,plain,
( member(sK0(union(sK2,sK1),union(sK3,sK1)),sK1)
| member(sK0(union(sK2,sK1),union(sK3,sK1)),sK2) ),
inference(resolution,[],[f50,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X2,X1))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f50,plain,
member(sK0(union(sK2,sK1),union(sK3,sK1)),union(sK2,sK1)),
inference(resolution,[],[f34,f32]) ).
fof(f32,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:23:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (24995)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)
% 0.19/0.49 % (24995)Refutation not found, incomplete strategy% (24995)------------------------------
% 0.19/0.49 % (24995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (24995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (24995)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (24995)Memory used [KB]: 5884
% 0.19/0.49 % (24995)Time elapsed: 0.118 s
% 0.19/0.49 % (24995)Instructions burned: 2 (million)
% 0.19/0.49 % (24995)------------------------------
% 0.19/0.49 % (24995)------------------------------
% 0.19/0.50 % (25003)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 (2999ds/12Mi)
% 0.19/0.50 % (24999)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (25011)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 (2999ds/2Mi)
% 0.19/0.52 % (25003)First to succeed.
% 0.19/0.52 % (25003)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 % (25003)------------------------------
% 0.19/0.52 % (25003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25003)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (25003)Memory used [KB]: 5884
% 0.19/0.52 % (25003)Time elapsed: 0.131 s
% 0.19/0.52 % (25003)Instructions burned: 2 (million)
% 0.19/0.52 % (25003)------------------------------
% 0.19/0.52 % (25003)------------------------------
% 0.19/0.52 % (24992)Success in time 0.181 s
%------------------------------------------------------------------------------