TSTP Solution File: SEU040+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 18:26:25 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 13 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 18 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(subsumption_resolution,[],[f179,f120]) ).
fof(f120,plain,
relation(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( relation(sK0)
& function(sK0)
& ( ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0))
| ~ subset(relation_rng(relation_dom_restriction(sK0,sK1)),relation_rng(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f80,f81]) ).
fof(f81,plain,
( ? [X0,X1] :
( relation(X0)
& function(X0)
& ( ~ subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0))
| ~ subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) ) )
=> ( relation(sK0)
& function(sK0)
& ( ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0))
| ~ subset(relation_rng(relation_dom_restriction(sK0,sK1)),relation_rng(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1] :
( relation(X0)
& function(X0)
& ( ~ subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0))
| ~ subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X1,X0] :
( relation(X1)
& function(X1)
& ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_funct_1) ).
fof(f179,plain,
~ relation(sK0),
inference(resolution,[],[f176,f133]) ).
fof(f133,plain,
! [X0,X1] :
( subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0)) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ relation(X1)
| subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( relation(X1)
=> subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_relat_1) ).
fof(f176,plain,
~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0)),
inference(subsumption_resolution,[],[f174,f120]) ).
fof(f174,plain,
( ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0))
| ~ relation(sK0) ),
inference(resolution,[],[f118,f151]) ).
fof(f151,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f118,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK0,sK1)),relation_rng(sK0))
| ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0)) ),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:36:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (25400)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.48 % (25400)First to succeed.
% 0.20/0.48 % (25408)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)
% 0.20/0.48 % (25400)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (25400)------------------------------
% 0.20/0.49 % (25400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (25400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (25400)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (25400)Memory used [KB]: 1535
% 0.20/0.49 % (25400)Time elapsed: 0.083 s
% 0.20/0.49 % (25400)Instructions burned: 3 (million)
% 0.20/0.49 % (25400)------------------------------
% 0.20/0.49 % (25400)------------------------------
% 0.20/0.49 % (25394)Success in time 0.136 s
%------------------------------------------------------------------------------