TSTP Solution File: GEO081+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO081+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 : n016.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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 87 ( 30 ~; 24 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 47 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f110,f66]) ).
fof(f66,plain,
~ part_of(sK5,sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( part_of(sK4,sK3)
& part_of(sK5,sK4)
& ~ part_of(sK5,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( part_of(X1,X0)
& part_of(X2,X1)
& ~ part_of(X2,X0) )
=> ( part_of(sK4,sK3)
& part_of(sK5,sK4)
& ~ part_of(sK5,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2] :
( part_of(X1,X0)
& part_of(X2,X1)
& ~ part_of(X2,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X0,X2] :
( part_of(X0,X1)
& part_of(X2,X0)
& ~ part_of(X2,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X2,X1,X0] :
( ~ part_of(X2,X1)
& part_of(X2,X0)
& part_of(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X2,X1,X0] :
( ( part_of(X2,X0)
& part_of(X0,X1) )
=> part_of(X2,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X5,X1] :
( ( part_of(X1,X3)
& part_of(X3,X5) )
=> part_of(X1,X5) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X5,X1] :
( ( part_of(X1,X3)
& part_of(X3,X5) )
=> part_of(X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
fof(f110,plain,
part_of(sK5,sK3),
inference(resolution,[],[f108,f67]) ).
fof(f67,plain,
part_of(sK5,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f108,plain,
! [X0] :
( ~ part_of(X0,sK4)
| part_of(X0,sK3) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f106,plain,
! [X0] :
( part_of(X0,sK3)
| ~ part_of(X0,sK4)
| part_of(X0,sK3) ),
inference(resolution,[],[f102,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ( incident_c(sK0(X0,X1),X0)
& ~ incident_c(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) )
=> ( incident_c(sK0(X0,X1),X0)
& ~ incident_c(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) ) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
<=> part_of(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X0)
=> incident_c(X2,X1) )
<=> part_of(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f102,plain,
! [X3,X4] :
( incident_c(sK0(X3,X4),sK3)
| ~ part_of(X3,sK4)
| part_of(X3,X4) ),
inference(resolution,[],[f85,f68]) ).
fof(f68,plain,
part_of(sK4,sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f85,plain,
! [X2,X3,X4,X5] :
( ~ part_of(X4,X5)
| ~ part_of(X2,X4)
| part_of(X2,X3)
| incident_c(sK0(X2,X3),X5) ),
inference(resolution,[],[f80,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| ~ part_of(X0,X1)
| incident_c(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f80,plain,
! [X2,X0,X1] :
( incident_c(sK0(X0,X2),X1)
| part_of(X0,X2)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f59,f58]) ).
fof(f58,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % 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 : n016.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 : Mon Aug 29 21:34:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (20872)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)
% 0.19/0.49 % (20880)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)
% 0.19/0.49 % (20872)First to succeed.
% 0.19/0.49 % (20872)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (20872)------------------------------
% 0.19/0.49 % (20872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (20872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (20872)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (20872)Memory used [KB]: 6012
% 0.19/0.49 % (20872)Time elapsed: 0.088 s
% 0.19/0.49 % (20872)Instructions burned: 4 (million)
% 0.19/0.49 % (20872)------------------------------
% 0.19/0.49 % (20872)------------------------------
% 0.19/0.49 % (20866)Success in time 0.141 s
%------------------------------------------------------------------------------