TSTP Solution File: SET065+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n006.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 18:18:52 EDT 2022
% Result : Theorem 1.26s 0.52s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 82 ( 29 ~; 23 |; 23 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f250,plain,
$false,
inference(unit_resulting_resolution,[],[f145,f242,f190]) ).
fof(f190,plain,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( inductive(X0)
<=> ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive_defn) ).
fof(f242,plain,
! [X0] : ~ member(null_class,X0),
inference(unit_resulting_resolution,[],[f195,f196,f174]) ).
fof(f174,plain,
! [X3,X0,X1] :
( ~ subclass(X1,X0)
| member(X3,X0)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ( ~ member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subclass(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subclass(X1,X0) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f196,plain,
~ member(null_class,universal_class),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ member(null_class,universal_class),
inference(flattening,[],[f45]) ).
fof(f45,negated_conjecture,
~ member(null_class,universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
member(null_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_a_set) ).
fof(f195,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f145,plain,
inductive(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ! [X1] :
( ~ inductive(X1)
| subclass(sK0,X1) )
& member(sK0,universal_class)
& inductive(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f84,f89]) ).
fof(f89,plain,
( ? [X0] :
( ! [X1] :
( ~ inductive(X1)
| subclass(X0,X1) )
& member(X0,universal_class)
& inductive(X0) )
=> ( ! [X1] :
( ~ inductive(X1)
| subclass(sK0,X1) )
& member(sK0,universal_class)
& inductive(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ! [X1] :
( ~ inductive(X1)
| subclass(X0,X1) )
& member(X0,universal_class)
& inductive(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
? [X0] :
( ! [X1] :
( inductive(X1)
=> subclass(X0,X1) )
& inductive(X0)
& member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % 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 : n006.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 13:05:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (23404)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (23406)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)
% 0.19/0.51 % (23416)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (23405)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)
% 1.26/0.51 % (23405)Refutation not found, incomplete strategy% (23405)------------------------------
% 1.26/0.51 % (23405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.51 % (23405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.51 % (23405)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.51
% 1.26/0.51 % (23405)Memory used [KB]: 5884
% 1.26/0.51 % (23405)Time elapsed: 0.002 s
% 1.26/0.51 % (23405)Instructions burned: 1 (million)
% 1.26/0.51 % (23405)------------------------------
% 1.26/0.51 % (23405)------------------------------
% 1.26/0.51 % (23408)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.52 % (23416)First to succeed.
% 1.26/0.52 % (23408)Refutation not found, incomplete strategy% (23408)------------------------------
% 1.26/0.52 % (23408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (23408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (23408)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52
% 1.26/0.52 % (23408)Memory used [KB]: 6012
% 1.26/0.52 % (23408)Time elapsed: 0.117 s
% 1.26/0.52 % (23408)Instructions burned: 3 (million)
% 1.26/0.52 % (23408)------------------------------
% 1.26/0.52 % (23408)------------------------------
% 1.26/0.52 % (23397)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)
% 1.26/0.52 % (23416)Refutation found. Thanks to Tanya!
% 1.26/0.52 % SZS status Theorem for theBenchmark
% 1.26/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52 % (23416)------------------------------
% 1.26/0.52 % (23416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (23416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (23416)Termination reason: Refutation
% 1.26/0.52
% 1.26/0.52 % (23416)Memory used [KB]: 6140
% 1.26/0.52 % (23416)Time elapsed: 0.120 s
% 1.26/0.52 % (23416)Instructions burned: 7 (million)
% 1.26/0.52 % (23416)------------------------------
% 1.26/0.52 % (23416)------------------------------
% 1.26/0.52 % (23394)Success in time 0.176 s
%------------------------------------------------------------------------------