TSTP Solution File: GEO081+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n018.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 16:11:46 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 29 ~; 17 |; 23 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 51 ( 36 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(subsumption_resolution,[],[f164,f152]) ).
fof(f152,plain,
incident_c(sK14(sK7,sK8),sK7),
inference(resolution,[],[f138,f130]) ).
fof(f130,plain,
~ part_of(sK7,sK8),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ~ part_of(sK7,sK8)
& part_of(sK9,sK8)
& part_of(sK7,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f79,f80]) ).
fof(f80,plain,
( ? [X0,X1,X2] :
( ~ part_of(X0,X1)
& part_of(X2,X1)
& part_of(X0,X2) )
=> ( ~ part_of(sK7,sK8)
& part_of(sK9,sK8)
& part_of(sK7,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ part_of(X0,X1)
& part_of(X2,X1)
& part_of(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
? [X1,X2,X0] :
( ~ part_of(X1,X2)
& part_of(X0,X2)
& part_of(X1,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X2,X1] :
( ~ part_of(X1,X2)
& part_of(X1,X0)
& part_of(X0,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X2,X1] :
( ( part_of(X1,X0)
& part_of(X0,X2) )
=> part_of(X1,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X1,X5] :
( ( part_of(X3,X5)
& part_of(X1,X3) )
=> part_of(X1,X5) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X1,X5] :
( ( part_of(X3,X5)
& part_of(X1,X3) )
=> part_of(X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
fof(f138,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sK14(X0,X1),X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( ~ incident_c(sK14(X0,X1),X1)
& incident_c(sK14(X0,X1),X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) )
=> ( ~ incident_c(sK14(X0,X1),X1)
& incident_c(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f93,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,[],[f92]) ).
fof(f92,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,[],[f35]) ).
fof(f35,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] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f164,plain,
~ incident_c(sK14(sK7,sK8),sK7),
inference(resolution,[],[f163,f153]) ).
fof(f153,plain,
~ incident_c(sK14(sK7,sK8),sK8),
inference(resolution,[],[f139,f130]) ).
fof(f139,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sK14(X0,X1),X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f163,plain,
! [X0] :
( incident_c(X0,sK8)
| ~ incident_c(X0,sK7) ),
inference(resolution,[],[f159,f158]) ).
fof(f158,plain,
! [X0] :
( incident_c(X0,sK9)
| ~ incident_c(X0,sK7) ),
inference(resolution,[],[f137,f128]) ).
fof(f128,plain,
part_of(sK7,sK9),
inference(cnf_transformation,[],[f81]) ).
fof(f137,plain,
! [X3,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X3,X0)
| incident_c(X3,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f159,plain,
! [X1] :
( ~ incident_c(X1,sK9)
| incident_c(X1,sK8) ),
inference(resolution,[],[f137,f129]) ).
fof(f129,plain,
part_of(sK9,sK8),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:15:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.49 % (5211)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (5229)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (5222)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)
% 0.19/0.51 % (5207)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (5229)First to succeed.
% 0.19/0.51 % (5214)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (5236)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51 % (5222)Also succeeded, but the first one will report.
% 0.19/0.51 % (5216)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (5229)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (5229)------------------------------
% 0.19/0.51 % (5229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5229)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (5229)Memory used [KB]: 1023
% 0.19/0.52 % (5229)Time elapsed: 0.047 s
% 0.19/0.52 % (5229)Instructions burned: 3 (million)
% 0.19/0.52 % (5229)------------------------------
% 0.19/0.52 % (5229)------------------------------
% 0.19/0.52 % (5205)Success in time 0.16 s
%------------------------------------------------------------------------------