TSTP Solution File: SEU217+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Sun May 5 09:29:19 EDT 2024
% Result : Theorem 5.83s 1.19s
% Output : Refutation 5.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 97 ( 48 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 120 ( 48 ~; 40 |; 23 &)
% ( 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 : 48 ( 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31458,plain,
$false,
inference(subsumption_resolution,[],[f31428,f680]) ).
fof(f680,plain,
sK23 != apply(identity_relation(sK22),sK23),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
( sK23 != apply(identity_relation(sK22),sK23)
& in(sK23,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f237,f452]) ).
fof(f452,plain,
( ? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) )
=> ( sK23 != apply(identity_relation(sK22),sK23)
& in(sK23,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) ),
inference(ennf_transformation,[],[f166]) ).
fof(f166,negated_conjecture,
~ ! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[],[f165]) ).
fof(f165,conjecture,
! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f31428,plain,
sK23 = apply(identity_relation(sK22),sK23),
inference(resolution,[],[f31230,f679]) ).
fof(f679,plain,
in(sK23,sK22),
inference(cnf_transformation,[],[f453]) ).
fof(f31230,plain,
! [X3,X0] :
( ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3 ),
inference(subsumption_resolution,[],[f31229,f838]) ).
fof(f838,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f31229,plain,
! [X3,X0] :
( apply(identity_relation(X0),X3) = X3
| ~ in(X3,X0)
| ~ relation(identity_relation(X0)) ),
inference(subsumption_resolution,[],[f1099,f846]) ).
fof(f846,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f1099,plain,
! [X3,X0] :
( apply(identity_relation(X0),X3) = X3
| ~ in(X3,X0)
| ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f750]) ).
fof(f750,plain,
! [X3,X0,X1] :
( apply(X1,X3) = X3
| ~ in(X3,X0)
| identity_relation(X0) != X1
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ( sK29(X0,X1) != apply(X1,sK29(X0,X1))
& in(sK29(X0,X1),X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f467,f468]) ).
fof(f468,plain,
! [X0,X1] :
( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
=> ( sK29(X0,X1) != apply(X1,sK29(X0,X1))
& in(sK29(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f467,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f466]) ).
fof(f466,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f465]) ).
fof(f465,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f164]) ).
fof(f164,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 10:53:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32078)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (32081)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32085)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (32079)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (32082)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (32080)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (32081)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (32083)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (32084)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.46 TRYING [1]
% 0.21/0.47 TRYING [2]
% 0.21/0.49 TRYING [3]
% 0.21/0.50 TRYING [3]
% 0.21/0.54 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [4]
% 2.63/0.76 TRYING [4]
% 2.63/0.78 TRYING [3]
% 3.85/0.90 TRYING [5]
% 5.81/1.18 % (32081)First to succeed.
% 5.81/1.18 % (32081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32078"
% 5.83/1.19 % (32081)Refutation found. Thanks to Tanya!
% 5.83/1.19 % SZS status Theorem for theBenchmark
% 5.83/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 5.83/1.19 % (32081)------------------------------
% 5.83/1.19 % (32081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.83/1.19 % (32081)Termination reason: Refutation
% 5.83/1.19
% 5.83/1.19 % (32081)Memory used [KB]: 12390
% 5.83/1.19 % (32081)Time elapsed: 0.800 s
% 5.83/1.19 % (32081)Instructions burned: 2553 (million)
% 5.83/1.19 % (32078)Success in time 0.811 s
%------------------------------------------------------------------------------