TSTP Solution File: SEU217+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU217+3 : 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_sat --cores 0 -t %d %s
% Computer : n014.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 : 13
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 105 ( 52 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 127 ( 49 ~; 40 |; 25 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 53 ( 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207,plain,
$false,
inference(subsumption_resolution,[],[f205,f120]) ).
fof(f120,plain,
sK6 != apply(identity_relation(sK7),sK6),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( sK6 != apply(identity_relation(sK7),sK6)
& in(sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f55,f77]) ).
fof(f77,plain,
( ? [X0,X1] :
( apply(identity_relation(X1),X0) != X0
& in(X0,X1) )
=> ( sK6 != apply(identity_relation(sK7),sK6)
& in(sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1] :
( apply(identity_relation(X1),X0) != X0
& in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X0,X1] :
( in(X0,X1)
=> apply(identity_relation(X1),X0) = X0 ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f205,plain,
sK6 = apply(identity_relation(sK7),sK6),
inference(resolution,[],[f204,f119]) ).
fof(f119,plain,
in(sK6,sK7),
inference(cnf_transformation,[],[f78]) ).
fof(f204,plain,
! [X3,X1] :
( ~ in(X3,X1)
| apply(identity_relation(X1),X3) = X3 ),
inference(subsumption_resolution,[],[f203,f117]) ).
fof(f117,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f203,plain,
! [X3,X1] :
( ~ function(identity_relation(X1))
| ~ in(X3,X1)
| apply(identity_relation(X1),X3) = X3 ),
inference(subsumption_resolution,[],[f138,f106]) ).
fof(f106,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f138,plain,
! [X3,X1] :
( ~ relation(identity_relation(X1))
| ~ in(X3,X1)
| apply(identity_relation(X1),X3) = X3
| ~ function(identity_relation(X1)) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X3,X0,X1] :
( ~ relation(X0)
| ~ in(X3,X1)
| apply(X0,X3) = X3
| identity_relation(X1) != X0
| ~ function(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( identity_relation(X1) = X0
| ( in(sK11(X0,X1),X1)
& apply(X0,sK11(X0,X1)) != sK11(X0,X1) )
| relation_dom(X0) != X1 )
& ( ( ! [X3] :
( ~ in(X3,X1)
| apply(X0,X3) = X3 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
=> ( in(sK11(X0,X1),X1)
& apply(X0,sK11(X0,X1)) != sK11(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( identity_relation(X1) = X0
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
| relation_dom(X0) != X1 )
& ( ( ! [X3] :
( ~ in(X3,X1)
| apply(X0,X3) = X3 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 ) )
| ~ function(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( identity_relation(X1) = X0
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
| relation_dom(X0) != X1 )
& ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 ) )
| ~ function(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( identity_relation(X1) = X0
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
| relation_dom(X0) != X1 )
& ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ relation(X0)
| ( identity_relation(X1) = X0
<=> ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 ) )
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( identity_relation(X1) = X0
<=> ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( ( relation_dom(X0) = X1
& ! [X2] :
( in(X2,X1)
=> apply(X0,X2) = X2 ) )
<=> identity_relation(X1) = X0 ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.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 14:51:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % (5814)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.45 % (5798)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45 % (5806)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.46 % (5798)First to succeed.
% 0.19/0.46 % (5798)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 % (5798)------------------------------
% 0.19/0.46 % (5798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (5798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (5798)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (5798)Memory used [KB]: 5500
% 0.19/0.46 % (5798)Time elapsed: 0.072 s
% 0.19/0.46 % (5798)Instructions burned: 4 (million)
% 0.19/0.46 % (5798)------------------------------
% 0.19/0.46 % (5798)------------------------------
% 0.19/0.46 % (5790)Success in time 0.108 s
%------------------------------------------------------------------------------