TSTP Solution File: GEO111+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO111+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 : n022.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 05:15:29 EDT 2024
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 9 unt; 0 def)
% Number of atoms : 390 ( 118 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 457 ( 154 ~; 198 |; 83 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 187 ( 168 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f807,plain,
$false,
inference(resolution,[],[f806,f756]) ).
fof(f756,plain,
between_c(sK4,sK5,sK5,sK7),
inference(backward_demodulation,[],[f113,f754]) ).
fof(f754,plain,
sK5 = sK6,
inference(resolution,[],[f738,f170]) ).
fof(f170,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( sP3(X2,X3,X1,X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ),
inference(definition_folding,[],[f58,f65]) ).
fof(f65,plain,
! [X2,X3,X1,X0] :
( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
| ~ sP3(X2,X3,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( inner_point(X4,X7)
& end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f738,plain,
( between_c(sK4,sK5,sK6,sK5)
| sK5 = sK6 ),
inference(superposition,[],[f113,f737]) ).
fof(f737,plain,
( sK5 = sK7
| sK5 = sK6 ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f736,plain,
( sK5 = sK7
| sK5 = sK6
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f735,f725]) ).
fof(f725,plain,
( between_c(sK4,sK5,sK6,sK6)
| sK5 = sK7
| sK5 = sK6 ),
inference(superposition,[],[f113,f724]) ).
fof(f724,plain,
( sK6 = sK7
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f723,f113]) ).
fof(f723,plain,
( ~ between_c(sK4,sK5,sK6,sK7)
| sK6 = sK7
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f716,f167]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( sP3(X2,X3,X1,X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f716,plain,
( ~ sP3(sK6,sK7,sK5,sK4)
| sK5 = sK6
| sK6 = sK7
| sK5 = sK7 ),
inference(resolution,[],[f714,f163]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( end_point(X2,sK21(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ( inner_point(X0,sK21(X0,X1,X2,X3))
& end_point(X1,sK21(X0,X1,X2,X3))
& end_point(X2,sK21(X0,X1,X2,X3))
& part_of(sK21(X0,X1,X2,X3),X3) )
| ~ sP3(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( inner_point(X0,X4)
& end_point(X1,X4)
& end_point(X2,X4)
& part_of(X4,X3) )
=> ( inner_point(X0,sK21(X0,X1,X2,X3))
& end_point(X1,sK21(X0,X1,X2,X3))
& end_point(X2,sK21(X0,X1,X2,X3))
& part_of(sK21(X0,X1,X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( inner_point(X0,X4)
& end_point(X1,X4)
& end_point(X2,X4)
& part_of(X4,X3) )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X2,X3,X1,X0] :
( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
| ~ sP3(X2,X3,X1,X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f714,plain,
( ~ end_point(sK5,sK21(sK6,sK7,sK5,sK4))
| sK5 = sK7
| sK5 = sK6
| sK6 = sK7 ),
inference(resolution,[],[f712,f136]) ).
fof(f136,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ sP0(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( sP0(X0,X1)
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ sP0(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( sP0(X0,X1)
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( sP0(X0,X1)
& incident_c(X0,X1) ) ),
inference(definition_folding,[],[f48,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f48,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( part_of(X3,X2)
| part_of(X2,X3) ) )
& incident_c(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( end_point(X2,X0)
<=> ( ! [X1,X3] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X3,X1)
| part_of(X1,X3) ) )
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).
fof(f712,plain,
( ~ incident_c(sK5,sK21(sK6,sK7,sK5,sK4))
| sK6 = sK7
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f610,f113]) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ between_c(sK4,X2,X0,X1)
| ~ incident_c(sK5,sK21(X0,X1,X2,sK4))
| sK6 = sK7
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f568,f167]) ).
fof(f568,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2,sK4)
| sK5 = sK6
| ~ incident_c(sK5,sK21(X0,X1,X2,sK4))
| sK6 = sK7
| sK5 = sK7 ),
inference(resolution,[],[f557,f162]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( part_of(sK21(X0,X1,X2,X3),X3)
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f557,plain,
! [X0] :
( ~ part_of(X0,sK4)
| sK5 = sK7
| sK5 = sK6
| ~ incident_c(sK5,X0)
| sK6 = sK7 ),
inference(resolution,[],[f556,f139]) ).
fof(f139,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK18(X0,X1),X0)
& incident_c(sK18(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK18(X0,X1),X0)
& incident_c(sK18(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f49]) ).
fof(f49,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/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f556,plain,
( ~ incident_c(sK5,sK4)
| sK6 = sK7
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f555,f113]) ).
fof(f555,plain,
( ~ between_c(sK4,sK5,sK6,sK7)
| sK5 = sK6
| sK6 = sK7
| sK5 = sK7
| ~ incident_c(sK5,sK4) ),
inference(resolution,[],[f553,f167]) ).
fof(f553,plain,
( ~ sP3(sK6,sK7,sK5,sK4)
| ~ incident_c(sK5,sK4)
| sK5 = sK6
| sK6 = sK7
| sK5 = sK7 ),
inference(resolution,[],[f552,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( inner_point(X0,sK21(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f552,plain,
( ~ inner_point(sK6,sK21(sK6,sK7,sK5,sK4))
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| sK5 = sK6
| sK6 = sK7 ),
inference(resolution,[],[f538,f126]) ).
fof(f126,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,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,[],[f85]) ).
fof(f85,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,[],[f27]) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f538,plain,
( ~ incident_c(sK6,sK21(sK6,sK7,sK5,sK4))
| sK6 = sK7
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| sK5 = sK6 ),
inference(resolution,[],[f501,f113]) ).
fof(f501,plain,
! [X2,X0,X1] :
( ~ between_c(sK4,X2,X0,X1)
| sK6 = sK7
| ~ incident_c(sK6,sK21(X0,X1,X2,sK4))
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| sK5 = sK6 ),
inference(resolution,[],[f459,f167]) ).
fof(f459,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2,sK4)
| sK5 = sK6
| sK6 = sK7
| ~ incident_c(sK6,sK21(X0,X1,X2,sK4))
| sK5 = sK7
| ~ incident_c(sK5,sK4) ),
inference(resolution,[],[f450,f162]) ).
fof(f450,plain,
! [X0] :
( ~ part_of(X0,sK4)
| ~ incident_c(sK5,sK4)
| sK5 = sK6
| sK6 = sK7
| ~ incident_c(sK6,X0)
| sK5 = sK7 ),
inference(resolution,[],[f449,f139]) ).
fof(f449,plain,
( ~ incident_c(sK6,sK4)
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| sK5 = sK6
| sK6 = sK7 ),
inference(resolution,[],[f448,f113]) ).
fof(f448,plain,
( ~ between_c(sK4,sK5,sK6,sK7)
| sK5 = sK6
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK6,sK4)
| sK6 = sK7 ),
inference(resolution,[],[f445,f167]) ).
fof(f445,plain,
( ~ sP3(sK6,sK7,sK5,sK4)
| sK6 = sK7
| sK5 = sK6
| sK5 = sK7
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK6,sK4) ),
inference(resolution,[],[f443,f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( end_point(X1,sK21(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f443,plain,
( ~ end_point(sK7,sK21(sK6,sK7,sK5,sK4))
| ~ incident_c(sK6,sK4)
| sK6 = sK7
| sK5 = sK6
| sK5 = sK7
| ~ incident_c(sK5,sK4) ),
inference(resolution,[],[f414,f136]) ).
fof(f414,plain,
( ~ incident_c(sK7,sK21(sK6,sK7,sK5,sK4))
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK6,sK4)
| sK6 = sK7
| sK5 = sK6
| sK5 = sK7 ),
inference(resolution,[],[f413,f113]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ between_c(sK4,X2,X0,X1)
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK7,sK21(X0,X1,X2,sK4))
| sK6 = sK7
| sK5 = sK6
| sK5 = sK7 ),
inference(resolution,[],[f257,f167]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2,sK4)
| sK5 = sK7
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK7,sK21(X0,X1,X2,sK4))
| sK6 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f184,f162]) ).
fof(f184,plain,
! [X0] :
( ~ part_of(X0,sK4)
| sK5 = sK6
| sK5 = sK7
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4)
| ~ incident_c(sK7,X0)
| sK6 = sK7 ),
inference(resolution,[],[f114,f139]) ).
fof(f114,plain,
( ~ incident_c(sK7,sK4)
| sK6 = sK7
| sK5 = sK6
| sK5 = sK7
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( sK5 = sK7
| sK6 = sK7
| sK5 = sK6
| ~ incident_c(sK7,sK4)
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4) )
& between_c(sK4,sK5,sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f38,f67]) ).
fof(f67,plain,
( ? [X0,X1,X2,X3] :
( ( X1 = X3
| X2 = X3
| X1 = X2
| ~ incident_c(X3,X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0) )
& between_c(X0,X1,X2,X3) )
=> ( ( sK5 = sK7
| sK6 = sK7
| sK5 = sK6
| ~ incident_c(sK7,sK4)
| ~ incident_c(sK6,sK4)
| ~ incident_c(sK5,sK4) )
& between_c(sK4,sK5,sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( ( X1 = X3
| X2 = X3
| X1 = X2
| ~ incident_c(X3,X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0) )
& between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> ( X1 != X3
& X2 != X3
& X1 != X2
& incident_c(X3,X0)
& incident_c(X2,X0)
& incident_c(X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> ( X2 != X6
& X4 != X6
& X2 != X4
& incident_c(X6,X0)
& incident_c(X4,X0)
& incident_c(X2,X0) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> ( X2 != X6
& X4 != X6
& X2 != X4
& incident_c(X6,X0)
& incident_c(X4,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).
fof(f735,plain,
( ~ between_c(sK4,sK5,sK6,sK6)
| sK5 = sK7
| sK5 = sK6 ),
inference(resolution,[],[f732,f167]) ).
fof(f732,plain,
( ~ sP3(sK6,sK6,sK5,sK4)
| sK5 = sK6
| sK5 = sK7 ),
inference(resolution,[],[f726,f164]) ).
fof(f726,plain,
( ~ end_point(sK6,sK21(sK6,sK6,sK5,sK4))
| sK5 = sK7
| sK5 = sK6 ),
inference(superposition,[],[f231,f724]) ).
fof(f231,plain,
~ end_point(sK6,sK21(sK6,sK7,sK5,sK4)),
inference(resolution,[],[f230,f113]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X3,X2,X0,X1)
| ~ end_point(X0,sK21(X0,X1,X2,X3)) ),
inference(resolution,[],[f229,f167]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ end_point(X0,sK21(X0,X1,X2,X3)) ),
inference(resolution,[],[f165,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f113,plain,
between_c(sK4,sK5,sK6,sK7),
inference(cnf_transformation,[],[f68]) ).
fof(f806,plain,
~ between_c(sK4,sK5,sK5,sK7),
inference(resolution,[],[f803,f167]) ).
fof(f803,plain,
~ sP3(sK5,sK7,sK5,sK4),
inference(resolution,[],[f757,f163]) ).
fof(f757,plain,
~ end_point(sK5,sK21(sK5,sK7,sK5,sK4)),
inference(backward_demodulation,[],[f231,f754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 22:07:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (30082)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (30086)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.35 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (30085)WARNING: value z3 for option sas not known
% 0.14/0.36 % (30083)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (30084)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (30085)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)
% 0.14/0.36 % (30087)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)
% 0.14/0.36 % (30088)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)
% 0.14/0.36 % (30089)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)
% 0.18/0.37 TRYING [4]
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.39 TRYING [5]
% 0.18/0.41 % (30088)First to succeed.
% 0.18/0.41 % (30088)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30082"
% 0.18/0.41 % (30088)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41 % (30088)------------------------------
% 0.18/0.41 % (30088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.41 % (30088)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (30088)Memory used [KB]: 1481
% 0.18/0.41 % (30088)Time elapsed: 0.052 s
% 0.18/0.41 % (30088)Instructions burned: 87 (million)
% 0.18/0.41 % (30082)Success in time 0.067 s
%------------------------------------------------------------------------------