%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:53:39 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 104 ( 19 unt; 7 def)
% Number of atoms : 335 ( 13 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 380 ( 149 ~; 148 |; 61 &)
% ( 16 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 114 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( ( part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) )
=> ( part_of(X2,X3)
| part_of(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(f4,axiom,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( incident_c(X0,X1)
& ~ end_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(f10,axiom,
! [X0] :
? [X1] : inner_point(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(f19,axiom,
! [X0,X1] :
( start_point(X0,X1)
<=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',start_point_defn) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ( incident_o(X1,X0)
& incident_o(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',o1) ).
fof(f22,axiom,
! [X0] :
? [X1] :
( open(X1)
& ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',o2) ).
fof(f24,axiom,
! [X0] :
? [X1] : start_point(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+2.ax',o4) ).
fof(f28,conjecture,
! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( start_point(X0,X1)
=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(flattening,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ start_point(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f52,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ start_point(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( incident_o(X1,X0)
& incident_o(X2,X0) )
| ~ ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f57,plain,
? [X0,X1] :
( incident_o(X1,X0)
<~> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK2(X0,X1),sK3(X0,X1))
& ~ part_of(sK3(X0,X1),sK2(X0,X1))
& part_of(sK2(X0,X1),X1)
& part_of(sK3(X0,X1),X1)
& incident_c(X0,sK2(X0,X1))
& incident_c(X0,sK3(X0,X1)) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f70,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X1] : end_point(X1,X0)
| ~ open(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f77,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X2] : end_point(X2,X0)
| ~ open(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( end_point(sK6(X0),X0)
| ~ open(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f77]) ).
fof(f79,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f10]) ).
fof(f92,plain,
! [X0] :
? [X1] :
( open(X1)
& ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X1)
| ~ incident_o(X2,X0) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0] :
( open(sK14(X0))
& ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) )
& ( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f92]) ).
fof(f97,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f24]) ).
fof(f105,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X1,X2)
& ~ ordered_by(X0,X2,X1) )
| ~ incident_o(X1,X0) )
& ( ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) )
| incident_o(X1,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f106,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X1,X2)
& ~ ordered_by(X0,X2,X1) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X1,X3)
| ordered_by(X0,X3,X1) )
| incident_o(X1,X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
( ( ! [X2] :
( ~ ordered_by(sK22,sK23,X2)
& ~ ordered_by(sK22,X2,sK23) )
| ~ incident_o(sK23,sK22) )
& ( ordered_by(sK22,sK23,sK24)
| ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X3,sK24)],[f106]) ).
fof(f118,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f125,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f126,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f136,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f79]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f167,plain,
! [X2,X0] :
( ~ incident_c(X2,sK14(X0))
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f174,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f97]) ).
fof(f184,plain,
( ordered_by(sK22,sK23,sK24)
| ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f185,plain,
! [X2] :
( ~ ordered_by(sK22,X2,sK23)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
! [X2] :
( ~ ordered_by(sK22,sK23,X2)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f195,definition,
( spl25_1
<=> incident_o(sK23,sK22) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f196,plain,
( ~ incident_o(sK23,sK22)
| spl25_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( incident_o(sK23,sK22)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl25_2
<=> ordered_by(sK22,sK24,sK23) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f201,plain,
( ordered_by(sK22,sK24,sK23)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl25_3
<=> ordered_by(sK22,sK23,sK24) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f205,plain,
( ordered_by(sK22,sK23,sK24)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl25_1
| spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f184,f203,f199,f195]) ).
fof(f208,definition,
( spl25_4
<=> ! [X2] : ~ ordered_by(sK22,X2,sK23) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f209,plain,
( ! [X2] : ~ ordered_by(sK22,X2,sK23)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( ~ spl25_1
| spl25_4 ),
inference(avatar_split_clause,[],[f185,f208,f195]) ).
fof(f212,definition,
( spl25_5
<=> ! [X2] : ~ ordered_by(sK22,sK23,X2) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f213,plain,
( ! [X2] : ~ ordered_by(sK22,sK23,X2)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( ~ spl25_1
| spl25_5 ),
inference(avatar_split_clause,[],[f186,f212,f195]) ).
fof(f215,plain,
! [X0] : ~ end_point(sK7(X0),X0),
inference(resolution,[],[f125,f140]) ).
fof(f216,plain,
! [X0] : incident_c(sK7(X0),X0),
inference(resolution,[],[f126,f140]) ).
fof(f219,plain,
! [X0] :
( incident_c(sK6(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f136,f118]) ).
fof(f222,plain,
( incident_o(sK23,sK22)
| ~ spl25_2 ),
inference(resolution,[],[f164,f201]) ).
fof(f225,plain,
( spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f222,f199,f195]) ).
fof(f229,plain,
! [X0] : incident_o(sK7(sK14(X0)),X0),
inference(resolution,[],[f167,f216]) ).
fof(f231,plain,
! [X0] :
( incident_o(sK6(sK14(X0)),X0)
| ~ open(sK14(X0)) ),
inference(resolution,[],[f167,f219]) ).
fof(f232,plain,
! [X0] : incident_o(sK6(sK14(X0)),X0),
inference(forward_subsumption_resolution,[],[f231,f168]) ).
fof(f382,plain,
( ! [X0] :
( sK23 = X0
| ~ incident_o(sK23,sK22)
| ~ start_point(X0,sK22) )
| ~ spl25_4 ),
inference(resolution,[],[f162,f209]) ).
fof(f383,plain,
( ! [X0] :
( sK23 = X0
| ~ incident_o(X0,sK22)
| ~ start_point(sK23,sK22) )
| ~ spl25_5 ),
inference(resolution,[],[f162,f213]) ).
fof(f385,definition,
( spl25_6
<=> start_point(sK23,sK22) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f389,definition,
( spl25_7
<=> ! [X0] :
( sK23 = X0
| ~ incident_o(X0,sK22) ) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0] :
( ~ incident_o(X0,sK22)
| sK23 = X0 )
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( ~ spl25_6
| spl25_7
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f383,f212,f389,f385]) ).
fof(f392,plain,
( ! [X0] :
( ~ start_point(X0,sK22)
| sK23 = X0 )
| ~ spl25_1
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f382,f197]) ).
fof(f394,plain,
( sK23 = sK17(sK22)
| ~ spl25_1
| ~ spl25_4 ),
inference(resolution,[],[f392,f174]) ).
fof(f401,plain,
( start_point(sK23,sK22)
| ~ spl25_1
| ~ spl25_4 ),
inference(superposition,[],[f174,f394]) ).
fof(f404,plain,
( spl25_6
| ~ spl25_1
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f401,f208,f195,f385]) ).
fof(f423,plain,
( sK23 = sK6(sK14(sK22))
| ~ spl25_7 ),
inference(resolution,[],[f390,f232]) ).
fof(f425,plain,
( sK23 = sK7(sK14(sK22))
| ~ spl25_7 ),
inference(resolution,[],[f390,f229]) ).
fof(f494,plain,
( end_point(sK23,sK14(sK22))
| ~ open(sK14(sK22))
| ~ spl25_7 ),
inference(superposition,[],[f136,f423]) ).
fof(f495,plain,
( end_point(sK23,sK14(sK22))
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f494,f168]) ).
fof(f525,plain,
( ~ end_point(sK23,sK14(sK22))
| ~ spl25_7 ),
inference(superposition,[],[f215,f425]) ).
fof(f527,plain,
( $false
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f525,f495]) ).
fof(f528,plain,
~ spl25_7,
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f535,plain,
( incident_o(sK23,sK22)
| ~ spl25_3 ),
inference(resolution,[],[f205,f165]) ).
fof(f537,plain,
( $false
| spl25_1
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f535,f196]) ).
fof(f538,plain,
( spl25_1
| ~ spl25_3 ),
inference(avatar_contradiction_clause,[],[f537]) ).
cnf(s1,plain,
( spl25_1
| spl25_2
| spl25_3 ),
inference(sat_conversion,[],[f206]) ).
cnf(s2,plain,
( ~ spl25_1
| spl25_4 ),
inference(sat_conversion,[],[f210]) ).
cnf(s3,plain,
( ~ spl25_1
| spl25_5 ),
inference(sat_conversion,[],[f214]) ).
cnf(s5,plain,
( spl25_1
| ~ spl25_2 ),
inference(sat_conversion,[],[f225]) ).
cnf(s7,plain,
( ~ spl25_5
| ~ spl25_6
| spl25_7 ),
inference(sat_conversion,[],[f391]) ).
cnf(s9,plain,
( ~ spl25_1
| ~ spl25_4
| spl25_6 ),
inference(sat_conversion,[],[f404]) ).
cnf(s14,plain,
~ spl25_7,
inference(sat_conversion,[],[f528]) ).
cnf(s17,plain,
( spl25_1
| ~ spl25_3 ),
inference(sat_conversion,[],[f538]) ).
cnf(s18,plain,
( ~ spl25_5
| ~ spl25_6 ),
inference(rat,[],[s7,s14]) ).
cnf(s19,plain,
spl25_1,
inference(rat,[],[s1,s5,s17]) ).
cnf(s20,plain,
spl25_5,
inference(rat,[],[s3,s19]) ).
cnf(s21,plain,
spl25_4,
inference(rat,[],[s2,s19]) ).
cnf(s23,plain,
~ spl25_6,
inference(rat,[],[s18,s20]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s9,s19,s23,s21]) ).
fof(f539,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:09:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 % (3060590)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3060598)dis+10_1_sil=32000:sp=arity:random_seed=1282834350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3060596)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3060595)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3764307825_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3060596)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3648188909:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3060597)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2200393459:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3060599)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=239771428:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3060598) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3060590-3060598"...
% 0.11/0.45 % (3060600)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1435500633:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3060601)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=194115140:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3060598)...printing done.
% 0.11/0.45 % (3060598)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3060598)------------------------------
% 0.11/0.46 % (3060598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3060598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3060598)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3060598)Termination reason: Refutation
% 0.11/0.46 % (3060598)Time elapsed: 0.008 s
% 0.11/0.46 % (3060598)Peak memory usage: 12 MB
% 0.11/0.46 % (3060598)Instructions burned: 18 (million)
% 0.11/0.46 % (3060590)Success in time 0.038 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------