TSTP Solution File: SEU217+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 18:32:35 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 99 ( 49 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 122 ( 49 ~; 40 |; 24 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 40 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(subsumption_resolution,[],[f161,f87]) ).
fof(f87,plain,
sK4 != apply(identity_relation(sK5),sK4),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( sK4 != apply(identity_relation(sK5),sK4)
& in(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1] :
( apply(identity_relation(X1),X0) != X0
& in(X0,X1) )
=> ( sK4 != apply(identity_relation(sK5),sK4)
& in(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1] :
( apply(identity_relation(X1),X0) != X0
& in(X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X1,X0] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f161,plain,
sK4 = apply(identity_relation(sK5),sK4),
inference(resolution,[],[f160,f86]) ).
fof(f86,plain,
in(sK4,sK5),
inference(cnf_transformation,[],[f60]) ).
fof(f160,plain,
! [X2,X1] :
( ~ in(X2,X1)
| apply(identity_relation(X1),X2) = X2 ),
inference(subsumption_resolution,[],[f159,f78]) ).
fof(f78,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f159,plain,
! [X2,X1] :
( apply(identity_relation(X1),X2) = X2
| ~ function(identity_relation(X1))
| ~ in(X2,X1) ),
inference(subsumption_resolution,[],[f105,f74]) ).
fof(f74,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f105,plain,
! [X2,X1] :
( ~ relation(identity_relation(X1))
| ~ function(identity_relation(X1))
| ~ in(X2,X1)
| apply(identity_relation(X1),X2) = X2 ),
inference(equality_resolution,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| apply(X0,X2) = X2
| identity_relation(X1) != X0
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ( in(sK3(X0,X1),X1)
& sK3(X0,X1) != apply(X0,sK3(X0,X1)) )
| relation_dom(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 )
=> ( in(sK3(X0,X1),X1)
& sK3(X0,X1) != apply(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 )
| relation_dom(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( ( ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( ( ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32 % Computer : n012.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:49:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (2555)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46 % (2555)First to succeed.
% 0.19/0.46 % (2555)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (2555)------------------------------
% 0.19/0.46 % (2555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (2555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (2555)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (2555)Memory used [KB]: 5500
% 0.19/0.46 % (2555)Time elapsed: 0.095 s
% 0.19/0.46 % (2555)Instructions burned: 4 (million)
% 0.19/0.46 % (2555)------------------------------
% 0.19/0.46 % (2555)------------------------------
% 0.19/0.46 % (2547)Success in time 0.126 s
%------------------------------------------------------------------------------