TSTP Solution File: SEU217+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n015.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 18:27:33 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 102 ( 50 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 128 ( 53 ~; 41 |; 24 &)
% ( 3 <=>; 7 =>; 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 : 51 ( 41 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f128,f76]) ).
fof(f76,plain,
in(sK3,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( in(sK3,sK2)
& sK3 != apply(identity_relation(sK2),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1] :
( in(X1,X0)
& apply(identity_relation(X0),X1) != X1 )
=> ( in(sK3,sK2)
& sK3 != apply(identity_relation(sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1] :
( in(X1,X0)
& apply(identity_relation(X0),X1) != X1 ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X1,X0] :
( in(X0,X1)
& apply(identity_relation(X1),X0) != X0 ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X1,X0] :
( in(X0,X1)
=> apply(identity_relation(X1),X0) = X0 ),
inference(rectify,[],[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/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f128,plain,
~ in(sK3,sK2),
inference(trivial_inequality_removal,[],[f127]) ).
fof(f127,plain,
( sK3 != sK3
| ~ in(sK3,sK2) ),
inference(superposition,[],[f75,f126]) ).
fof(f126,plain,
! [X3,X1] :
( apply(identity_relation(X1),X3) = X3
| ~ in(X3,X1) ),
inference(subsumption_resolution,[],[f125,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/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f125,plain,
! [X3,X1] :
( ~ function(identity_relation(X1))
| apply(identity_relation(X1),X3) = X3
| ~ in(X3,X1) ),
inference(subsumption_resolution,[],[f97,f77]) ).
fof(f77,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f97,plain,
! [X3,X1] :
( ~ in(X3,X1)
| ~ relation(identity_relation(X1))
| apply(identity_relation(X1),X3) = X3
| ~ function(identity_relation(X1)) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X3,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X3,X1)
| apply(X0,X3) = X3
| identity_relation(X1) != X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ( ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ( in(sK4(X0,X1),X1)
& apply(X0,sK4(X0,X1)) != sK4(X0,X1) ) )
& ( ( relation_dom(X0) = X1
& ! [X3] :
( ~ in(X3,X1)
| apply(X0,X3) = X3 ) )
| identity_relation(X1) != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
=> ( in(sK4(X0,X1),X1)
& apply(X0,sK4(X0,X1)) != sK4(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ( ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 ) )
& ( ( relation_dom(X0) = X1
& ! [X3] :
( ~ in(X3,X1)
| apply(X0,X3) = X3 ) )
| identity_relation(X1) != X0 ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) )
| identity_relation(X0) != X1 ) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ~ function(X1)
| ~ relation(X1)
| ( ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) )
| identity_relation(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ~ function(X1)
| ~ relation(X1)
| ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) ) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 ) ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f75,plain,
sK3 != apply(identity_relation(sK2),sK3),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % 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 : n015.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 15:02:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.49 % (18127)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)
% 0.21/0.50 % (18131)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50 % (18133)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51 % (18144)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (18130)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)
% 0.21/0.51 % (18153)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51 % (18148)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51 % (18125)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51 % (18126)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (18155)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.51 % (18131)First to succeed.
% 0.21/0.52 % (18131)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (18131)------------------------------
% 0.21/0.52 % (18131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18131)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (18131)Memory used [KB]: 5884
% 0.21/0.52 % (18131)Time elapsed: 0.108 s
% 0.21/0.52 % (18131)Instructions burned: 4 (million)
% 0.21/0.52 % (18131)------------------------------
% 0.21/0.52 % (18131)------------------------------
% 0.21/0.52 % (18122)Success in time 0.166 s
%------------------------------------------------------------------------------