TSTP Solution File: GEO082+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n008.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 16:08:04 EDT 2022
% Result : Theorem 0.10s 0.38s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 5 unt; 0 def)
% Number of atoms : 138 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 147 ( 54 ~; 50 |; 27 &)
% ( 6 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 46 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(avatar_sat_refutation,[],[f211,f214,f230]) ).
fof(f230,plain,
~ spl7_4,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f228,f70]) ).
fof(f70,plain,
part_of(sK4,sK5),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( sK4 != sK5
& part_of(sK4,sK5)
& part_of(sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1] :
( X0 != X1
& part_of(X0,X1)
& part_of(X1,X0) )
=> ( sK4 != sK5
& part_of(sK4,sK5)
& part_of(sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1] :
( X0 != X1
& part_of(X0,X1)
& part_of(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X0] :
( X0 != X1
& part_of(X1,X0)
& part_of(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X1] :
( X0 != X1
& part_of(X1,X0)
& part_of(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( ( part_of(X1,X0)
& part_of(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X1] :
( ( part_of(X1,X3)
& part_of(X3,X1) )
=> X1 = X3 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X1] :
( ( part_of(X1,X3)
& part_of(X3,X1) )
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(f228,plain,
( ~ part_of(sK4,sK5)
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f227,f199]) ).
fof(f199,plain,
( incident_c(sK2(sK4,sK5),sK4)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl7_4
<=> incident_c(sK2(sK4,sK5),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f227,plain,
( ~ incident_c(sK2(sK4,sK5),sK4)
| ~ part_of(sK4,sK5)
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f220,f71]) ).
fof(f71,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f50]) ).
fof(f220,plain,
( sK4 = sK5
| ~ part_of(sK4,sK5)
| ~ incident_c(sK2(sK4,sK5),sK4)
| ~ spl7_4 ),
inference(resolution,[],[f219,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ incident_c(sK2(X0,X1),X1)
| ~ incident_c(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ incident_c(sK2(X0,X1),X1)
| ~ incident_c(sK2(X0,X1),X0) )
& ( incident_c(sK2(X0,X1),X1)
| incident_c(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) )
=> ( ( ~ incident_c(sK2(X0,X1),X1)
| ~ incident_c(sK2(X0,X1),X0) )
& ( incident_c(sK2(X0,X1),X1)
| incident_c(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( incident_c(X2,X0)
<~> incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
fof(f219,plain,
( ! [X0] :
( incident_c(sK2(sK4,sK5),X0)
| ~ part_of(sK4,X0) )
| ~ spl7_4 ),
inference(resolution,[],[f199,f73]) ).
fof(f73,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X0)
| incident_c(X3,X1)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( ~ incident_c(sK6(X0,X1),X1)
& incident_c(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) )
=> ( ~ incident_c(sK6(X0,X1),X1)
& incident_c(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) )
<=> part_of(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f214,plain,
( spl7_2
| spl7_4 ),
inference(avatar_split_clause,[],[f213,f197,f185]) ).
fof(f185,plain,
( spl7_2
<=> incident_c(sK2(sK4,sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f213,plain,
( incident_c(sK2(sK4,sK5),sK5)
| spl7_4 ),
inference(subsumption_resolution,[],[f204,f71]) ).
fof(f204,plain,
( incident_c(sK2(sK4,sK5),sK5)
| sK4 = sK5
| spl7_4 ),
inference(resolution,[],[f198,f64]) ).
fof(f64,plain,
! [X0,X1] :
( incident_c(sK2(X0,X1),X1)
| incident_c(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f198,plain,
( ~ incident_c(sK2(sK4,sK5),sK4)
| spl7_4 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f211,plain,
( ~ spl7_2
| spl7_4 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| ~ spl7_2
| spl7_4 ),
inference(subsumption_resolution,[],[f207,f69]) ).
fof(f69,plain,
part_of(sK5,sK4),
inference(cnf_transformation,[],[f50]) ).
fof(f207,plain,
( ~ part_of(sK5,sK4)
| ~ spl7_2
| spl7_4 ),
inference(resolution,[],[f191,f198]) ).
fof(f191,plain,
( ! [X0] :
( incident_c(sK2(sK4,sK5),X0)
| ~ part_of(sK5,X0) )
| ~ spl7_2 ),
inference(resolution,[],[f187,f73]) ).
fof(f187,plain,
( incident_c(sK2(sK4,sK5),sK5)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.25 % Computer : n008.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon Aug 29 21:15:25 EDT 2022
% 0.07/0.25 % CPUTime :
% 0.10/0.36 % (10469)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.10/0.36 % (10474)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.10/0.38 % (10470)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)
% 0.10/0.38 % (10477)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.10/0.38 % (10465)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.10/0.38 % (10488)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.10/0.38 % (10469)First to succeed.
% 0.10/0.38 % (10469)Refutation found. Thanks to Tanya!
% 0.10/0.38 % SZS status Theorem for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.38 % (10469)------------------------------
% 0.10/0.38 % (10469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (10469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.38 % (10469)Termination reason: Refutation
% 0.10/0.38
% 0.10/0.38 % (10469)Memory used [KB]: 6012
% 0.10/0.38 % (10469)Time elapsed: 0.085 s
% 0.10/0.38 % (10469)Instructions burned: 8 (million)
% 0.10/0.38 % (10469)------------------------------
% 0.10/0.38 % (10469)------------------------------
% 0.10/0.38 % (10462)Success in time 0.122 s
%------------------------------------------------------------------------------