TSTP Solution File: SEU010+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU010+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 : n010.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 18:26:20 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 64 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 19 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(subsumption_resolution,[],[f192,f229]) ).
fof(f229,plain,
relation_composition(identity_relation(relation_dom(sK9)),sK9) != sK9,
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( sK9 != sK9
| relation_composition(identity_relation(relation_dom(sK9)),sK9) != sK9 ),
inference(backward_demodulation,[],[f161,f205]) ).
fof(f205,plain,
relation_composition(sK9,identity_relation(relation_rng(sK9))) = sK9,
inference(unit_resulting_resolution,[],[f116,f160,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),X0)
| ~ relation(X1)
| relation_composition(X1,identity_relation(X0)) = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_rng(X1),X0)
=> relation_composition(X1,identity_relation(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_relat_1) ).
fof(f160,plain,
relation(sK9),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( relation_composition(sK9,identity_relation(relation_rng(sK9))) != sK9
| relation_composition(identity_relation(relation_dom(sK9)),sK9) != sK9 )
& relation(sK9)
& function(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f79,f106]) ).
fof(f106,plain,
( ? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& relation(X0)
& function(X0) )
=> ( ( relation_composition(sK9,identity_relation(relation_rng(sK9))) != sK9
| relation_composition(identity_relation(relation_dom(sK9)),sK9) != sK9 )
& relation(sK9)
& function(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(X0,identity_relation(relation_rng(X0))) = X0
& relation_composition(identity_relation(relation_dom(X0)),X0) = X0 ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(X0,identity_relation(relation_rng(X0))) = X0
& relation_composition(identity_relation(relation_dom(X0)),X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_funct_1) ).
fof(f116,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f161,plain,
( relation_composition(sK9,identity_relation(relation_rng(sK9))) != sK9
| relation_composition(identity_relation(relation_dom(sK9)),sK9) != sK9 ),
inference(cnf_transformation,[],[f107]) ).
fof(f192,plain,
relation_composition(identity_relation(relation_dom(sK9)),sK9) = sK9,
inference(unit_resulting_resolution,[],[f116,f160,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ subset(relation_dom(X1),X0)
| ~ relation(X1)
| relation_composition(identity_relation(X0),X1) = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ subset(relation_dom(X1),X0)
| ~ relation(X1)
| relation_composition(identity_relation(X0),X1) = X1 ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( relation(X1)
=> ( subset(relation_dom(X1),X0)
=> relation_composition(identity_relation(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % 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 : n010.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 14:27:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (21354)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)
% 0.19/0.47 % (21346)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)
% 0.19/0.47 % (21354)First to succeed.
% 0.19/0.49 % (21354)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (21354)------------------------------
% 0.19/0.49 % (21354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (21354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (21354)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (21354)Memory used [KB]: 6012
% 0.19/0.49 % (21354)Time elapsed: 0.082 s
% 0.19/0.49 % (21354)Instructions burned: 4 (million)
% 0.19/0.49 % (21354)------------------------------
% 0.19/0.49 % (21354)------------------------------
% 0.19/0.49 % (21332)Success in time 0.147 s
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