TSTP Solution File: GEO087+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 05:15:25 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 10 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 245 ( 89 ~; 71 |; 64 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 122 ( 101 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f299,plain,
$false,
inference(resolution,[],[f298,f108]) ).
fof(f108,plain,
! [X0] : inner_point(sK8(X0),X0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] : inner_point(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f22,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
fof(f298,plain,
~ inner_point(sK8(sK3),sK3),
inference(resolution,[],[f292,f117]) ).
fof(f117,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0] :
( inner_point(X2,X0)
<=> ( ~ end_point(X2,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f292,plain,
~ incident_c(sK8(sK3),sK3),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f289,plain,
( ~ incident_c(sK8(sK3),sK3)
| ~ incident_c(sK8(sK3),sK3) ),
inference(resolution,[],[f283,f104]) ).
fof(f104,plain,
part_of(sK3,sK4),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( meet(sK5,sK3,sK4)
& part_of(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f35,f62,f61]) ).
fof(f61,plain,
( ? [X0,X1] :
( ? [X2] : meet(X2,X0,X1)
& part_of(X0,X1) )
=> ( ? [X2] : meet(X2,sK3,sK4)
& part_of(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X2] : meet(X2,sK3,sK4)
=> meet(sK5,sK3,sK4) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( ? [X2] : meet(X2,X0,X1)
& part_of(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( part_of(X0,X1)
=> ~ ? [X2] : meet(X2,X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X3] :
( part_of(X1,X3)
=> ~ ? [X2] : meet(X2,X1,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X3] :
( part_of(X1,X3)
=> ~ ? [X2] : meet(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9) ).
fof(f283,plain,
! [X0] :
( ~ part_of(X0,sK4)
| ~ incident_c(sK8(sK3),X0)
| ~ incident_c(sK8(sK3),sK3) ),
inference(resolution,[],[f280,f130]) ).
fof(f130,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK16(X0,X1),X0)
& incident_c(sK16(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK16(X0,X1),X0)
& incident_c(sK16(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( 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,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( 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(f280,plain,
( ~ incident_c(sK8(sK3),sK4)
| ~ incident_c(sK8(sK3),sK3) ),
inference(resolution,[],[f277,f155]) ).
fof(f155,plain,
! [X0] : ~ end_point(sK8(X0),X0),
inference(resolution,[],[f118,f108]) ).
fof(f118,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f277,plain,
! [X0] :
( end_point(X0,sK3)
| ~ incident_c(X0,sK3)
| ~ incident_c(X0,sK4) ),
inference(resolution,[],[f240,f105]) ).
fof(f105,plain,
meet(sK5,sK3,sK4),
inference(cnf_transformation,[],[f63]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ meet(X3,X2,X1)
| ~ incident_c(X0,X2)
| end_point(X0,X2)
| ~ incident_c(X0,X1) ),
inference(resolution,[],[f135,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sP1(X2,X1,X0)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ sP1(X2,X1,X0) )
& ( sP1(X2,X1,X0)
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> sP1(X2,X1,X0) ),
inference(definition_folding,[],[f48,f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( sP1(X2,X1,X0)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f48,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( end_point(X3,X2)
& end_point(X3,X1) ) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( meet(X2,X0,X1)
<=> ( ! [X4] :
( ( incident_c(X4,X1)
& incident_c(X4,X0) )
=> ( end_point(X4,X1)
& end_point(X4,X0) ) )
& incident_c(X2,X1)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn) ).
fof(f135,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ incident_c(X4,X0)
| ~ incident_c(X4,X1)
| end_point(X4,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ end_point(sK17(X0,X1),X0)
| ~ end_point(sK17(X0,X1),X1) )
& incident_c(sK17(X0,X1),X0)
& incident_c(sK17(X0,X1),X1) )
| ~ incident_c(X2,X0)
| ~ incident_c(X2,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X0)
& end_point(X4,X1) )
| ~ incident_c(X4,X0)
| ~ incident_c(X4,X1) )
& incident_c(X2,X0)
& incident_c(X2,X1) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ end_point(X3,X0)
| ~ end_point(X3,X1) )
& incident_c(X3,X0)
& incident_c(X3,X1) )
=> ( ( ~ end_point(sK17(X0,X1),X0)
| ~ end_point(sK17(X0,X1),X1) )
& incident_c(sK17(X0,X1),X0)
& incident_c(sK17(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X0)
| ~ end_point(X3,X1) )
& incident_c(X3,X0)
& incident_c(X3,X1) )
| ~ incident_c(X2,X0)
| ~ incident_c(X2,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X0)
& end_point(X4,X1) )
| ~ incident_c(X4,X0)
| ~ incident_c(X4,X1) )
& incident_c(X2,X0)
& incident_c(X2,X1) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X2,X1,X0] :
( ( sP1(X2,X1,X0)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ sP1(X2,X1,X0) ) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X2,X1,X0] :
( ( sP1(X2,X1,X0)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ sP1(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:54:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (26295)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (26298)WARNING: value z3 for option sas not known
% 0.21/0.37 % (26297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (26296)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (26302)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)
% 0.21/0.37 % (26299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (26301)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)
% 0.21/0.37 % (26300)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)
% 0.21/0.37 % (26298)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (26301)First to succeed.
% 0.21/0.38 % (26301)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26295"
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (26301)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (26301)------------------------------
% 0.21/0.39 % (26301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (26301)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (26301)Memory used [KB]: 959
% 0.21/0.39 % (26301)Time elapsed: 0.012 s
% 0.21/0.39 % (26301)Instructions burned: 16 (million)
% 0.21/0.39 % (26295)Success in time 0.019 s
%------------------------------------------------------------------------------