%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO119+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:51:36 AM UTC 2026
% Result : Theorem 3.81s 1.59s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 173 ( 24 unt; 9 def)
% Number of atoms : 597 ( 69 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 702 ( 278 ~; 303 |; 90 &)
% ( 22 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 9 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 296 ( 0 sgn 273 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
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(f4,axiom,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( incident_c(X0,X1)
& ~ end_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn) ).
fof(f8,axiom,
! [X0,X1] :
( ( part_of(X1,X0)
& X1 != X0 )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f13,axiom,
! [X0,X1] :
( end_point(X1,X0)
=> ? [X2] :
( end_point(X2,X0)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( between_o(X0,X1,X2,X3)
<=> ( ( ordered_by(X0,X1,X2)
& ordered_by(X0,X2,X3) )
| ( ordered_by(X0,X3,X2)
& ordered_by(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn) ).
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/theBenchmark.p',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/theBenchmark.p',o1) ).
fof(f22,axiom,
! [X0] :
? [X1] :
( open(X1)
& ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( between_o(X3,X0,X1,X2)
<=> ? [X4] :
( ! [X0] :
( incident_o(X0,X3)
<=> incident_c(X0,X4) )
& between_c(X4,X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3) ).
fof(f27,axiom,
! [X0,X1] :
( X0 = underlying_curve(X1)
<=> ! [X2] :
( incident_o(X2,X1)
<=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn) ).
fof(f28,conjecture,
! [X0,X1] :
( start_point(X1,X0)
=> end_point(X1,underlying_curve(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_6_1) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( start_point(X1,X0)
=> end_point(X1,underlying_curve(X0)) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( between_o(X3,X0,X1,X2)
<=> ? [X4] :
( ! [X5] :
( incident_o(X5,X3)
<=> incident_c(X5,X4) )
& between_c(X4,X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
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(f33,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f40,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f39]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( end_point(X2,X0)
& X1 != X2 )
| ~ end_point(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
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] :
( ~ end_point(X1,underlying_curve(X0))
& start_point(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f58,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,[],[f33]) ).
fof(f59,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,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f59]) ).
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(f81,plain,
! [X0,X1] :
( ( end_point(sK10(X0,X1),X0)
& sK10(X0,X1) != X1 )
| ~ end_point(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f46]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X5] :
( part_of(X5,X0)
& end_point(X1,X5)
& end_point(X3,X5)
& inner_point(X2,X5) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& part_of(sK13(X0,X1,X2,X3),X0)
& end_point(X1,sK13(X0,X1,X2,X3))
& end_point(X3,sK13(X0,X1,X2,X3))
& inner_point(X2,sK13(X0,X1,X2,X3)) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X5,sK13(X0,X1,X2,X3))],[f88]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3) )
& ( ~ ordered_by(X0,X3,X2)
| ~ ordered_by(X0,X2,X1) ) ) )
& ( ( ordered_by(X0,X1,X2)
& ordered_by(X0,X2,X3) )
| ( ordered_by(X0,X3,X2)
& ordered_by(X0,X2,X1) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3) )
& ( ~ ordered_by(X0,X3,X2)
| ~ ordered_by(X0,X2,X1) ) ) )
& ( ( ordered_by(X0,X1,X2)
& ordered_by(X0,X2,X3) )
| ( ordered_by(X0,X3,X2)
& ordered_by(X0,X2,X1) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(flattening,[],[f90]) ).
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(f94,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) )
| ~ between_c(X4,X0,X1,X2) ) )
& ( ? [X4] :
( ! [X5] :
( ( incident_o(X5,X3)
| ~ incident_c(X5,X4) )
& ( incident_c(X5,X4)
| ~ incident_o(X5,X3) ) )
& between_c(X4,X0,X1,X2) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) )
| ~ between_c(X4,X0,X1,X2) ) )
& ( ? [X6] :
( ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) )
& between_c(X6,X0,X1,X2) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ( ( ~ incident_c(sK15(X3,X4),X4)
| ~ incident_o(sK15(X3,X4),X3) )
& ( incident_c(sK15(X3,X4),X4)
| incident_o(sK15(X3,X4),X3) ) )
| ~ between_c(X4,X0,X1,X2) ) )
& ( ( ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK16(X0,X1,X2,X3)) )
& ( incident_c(X7,sK16(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) )
& between_c(sK16(X0,X1,X2,X3),X0,X1,X2) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X5,sK15(X3,X4)),skolemize(X6,sK16(X0,X1,X2,X3))],[f95]) ).
fof(f102,plain,
! [X0,X1] :
( ( X0 = underlying_curve(X1)
| ? [X2] :
( ( ~ incident_c(X2,X0)
| ~ incident_o(X2,X1) )
& ( incident_c(X2,X0)
| incident_o(X2,X1) ) ) )
& ( ! [X2] :
( ( incident_o(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X0)
| ~ incident_o(X2,X1) ) )
| underlying_curve(X1) != X0 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f103,plain,
! [X0,X1] :
( ( X0 = underlying_curve(X1)
| ? [X2] :
( ( ~ incident_c(X2,X0)
| ~ incident_o(X2,X1) )
& ( incident_c(X2,X0)
| incident_o(X2,X1) ) ) )
& ( ! [X3] :
( ( incident_o(X3,X1)
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X0)
| ~ incident_o(X3,X1) ) )
| underlying_curve(X1) != X0 ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( ( X0 = underlying_curve(X1)
| ( ( ~ incident_c(sK21(X0,X1),X0)
| ~ incident_o(sK21(X0,X1),X1) )
& ( incident_c(sK21(X0,X1),X0)
| incident_o(sK21(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( incident_o(X3,X1)
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X0)
| ~ incident_o(X3,X1) ) )
| underlying_curve(X1) != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X2,sK21(X0,X1))],[f103]) ).
fof(f105,plain,
( ~ end_point(sK23,underlying_curve(sK22))
& start_point(sK23,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f57]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f107,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f108,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f125,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f134,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f136,plain,
! [X0,X1] :
( ~ part_of(X1,X0)
| open(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f40]) ).
fof(f142,plain,
! [X0,X1] :
( sK10(X0,X1) != X1
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X0,X1] :
( end_point(sK10(X0,X1),X0)
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f153,plain,
! [X2,X3,X0,X1,X4] :
( ~ inner_point(X2,X4)
| X1 = X3
| ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| ordered_by(X0,X3,X2)
| ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X3,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f161,plain,
! [X0,X1] :
( ~ start_point(X0,X1)
| incident_o(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f164,plain,
! [X2,X0] :
( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f166,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] :
( ~ between_c(X4,X0,X1,X2)
| incident_c(sK15(X3,X4),X4)
| incident_o(sK15(X3,X4),X3)
| between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4] :
( ~ incident_o(sK15(X3,X4),X3)
| ~ incident_c(sK15(X3,X4),X4)
| between_o(X3,X0,X1,X2)
| ~ between_c(X4,X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f178,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_o(X3,X1)
| underlying_curve(X1) != X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f179,plain,
! [X3,X0,X1] :
( incident_o(X3,X1)
| ~ incident_c(X3,X0)
| underlying_curve(X1) != X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f182,plain,
start_point(sK23,sK22),
inference(cnf_transformation,[],[f105]) ).
fof(f183,plain,
~ end_point(sK23,underlying_curve(sK22)),
inference(cnf_transformation,[],[f105]) ).
fof(f188,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f152]) ).
fof(f189,plain,
! [X3,X1] :
( ~ incident_c(X3,underlying_curve(X1))
| incident_o(X3,X1) ),
inference(equality_resolution,[],[f179]) ).
fof(f190,plain,
! [X3,X1] :
( incident_c(X3,underlying_curve(X1))
| ~ incident_o(X3,X1) ),
inference(equality_resolution,[],[f178]) ).
fof(f191,definition,
sF24 = underlying_curve(sK22),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f192,plain,
underlying_curve(sK22) = sF24,
inference(reorient_equations,[],[f191]) ).
fof(f193,plain,
~ end_point(sK23,sF24),
inference(definition_folding,[],[f183,f192]) ).
fof(f194,plain,
! [X0] :
( ~ incident_c(X0,sF24)
| incident_o(X0,sK22) ),
inference(superposition,[],[f189,f192]) ).
fof(f195,plain,
incident_o(sK23,sK22),
inference(resolution,[],[f161,f182]) ).
fof(f197,plain,
! [X0] :
( ~ incident_o(X0,sK22)
| incident_c(X0,sF24) ),
inference(superposition,[],[f190,f192]) ).
fof(f198,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f188,f167]) ).
fof(f199,plain,
incident_c(sK23,sF24),
inference(resolution,[],[f195,f197]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f158,f198]) ).
fof(f203,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ incident_o(X1,X2)
| ~ start_point(X0,X2)
| ~ ordered_by(X2,X1,X0) ),
inference(resolution,[],[f160,f201]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ ordered_by(X2,X1,X0)
| ~ start_point(X0,X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f203,f163]) ).
fof(f206,plain,
( inner_point(sK23,sF24)
| end_point(sK23,sF24) ),
inference(resolution,[],[f125,f199]) ).
fof(f207,plain,
inner_point(sK23,sF24),
inference(forward_subsumption_resolution,[],[f206,f193]) ).
fof(f223,plain,
! [X0] :
( incident_o(sK0(X0,sF24),sK22)
| part_of(sF24,X0) ),
inference(resolution,[],[f107,f194]) ).
fof(f226,plain,
! [X2,X0,X1] :
( between_c(X2,X0,sK23,X1)
| ~ part_of(sF24,X2)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 ),
inference(resolution,[],[f153,f207]) ).
fof(f237,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f108,f107]) ).
fof(f239,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( incident_o(sK15(X0,X1),X0)
| between_o(X0,X2,sK23,X3)
| incident_c(sK15(X0,X1),X1)
| ~ part_of(sF24,X1)
| ~ end_point(X2,sF24)
| ~ end_point(X3,sF24)
| X2 = X3 ),
inference(resolution,[],[f170,f226]) ).
fof(f283,definition,
( spl25_2
<=> open(sF24) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f284,plain,
( open(sF24)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ open(sF24)
| spl25_2 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f300,plain,
! [X2,X0,X1] :
( between_o(sK22,X1,sK23,X2)
| incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0)
| ~ end_point(X1,sF24)
| ~ end_point(X2,sF24)
| X1 = X2
| incident_c(sK15(sK22,X0),sF24) ),
inference(resolution,[],[f272,f197]) ).
fof(f306,plain,
! [X2,X0,X1] :
( between_o(sK22,X1,sK23,X2)
| incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0)
| ~ end_point(X1,sF24)
| ~ end_point(X2,sF24)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f300,f106]) ).
fof(f308,definition,
( spl25_5
<=> ! [X0] :
( incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f309,plain,
( ! [X0] :
( incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0) )
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,definition,
( spl25_6
<=> ! [X2,X1] :
( between_o(sK22,X1,sK23,X2)
| X1 = X2
| ~ end_point(X2,sF24)
| ~ end_point(X1,sF24) ) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f312,plain,
( ! [X2,X1] :
( between_o(sK22,X1,sK23,X2)
| X1 = X2
| ~ end_point(X2,sF24)
| ~ end_point(X1,sF24) )
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( spl25_5
| spl25_6 ),
inference(avatar_split_clause,[],[f306,f311,f308]) ).
fof(f317,plain,
( ~ part_of(sF24,sF24)
| incident_o(sK15(sK22,sF24),sK22)
| ~ spl25_5 ),
inference(resolution,[],[f309,f194]) ).
fof(f318,plain,
( incident_o(sK15(sK22,sF24),sK22)
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f317,f239]) ).
fof(f319,plain,
( incident_c(sK15(sK22,sF24),sF24)
| ~ spl25_5 ),
inference(resolution,[],[f318,f197]) ).
fof(f345,plain,
! [X0,X1] :
( ~ incident_o(sK0(sK14(X0),X1),X0)
| part_of(X1,sK14(X0)) ),
inference(resolution,[],[f164,f108]) ).
fof(f353,plain,
( ! [X0,X1] :
( ordered_by(sK22,X1,sK23)
| ordered_by(sK22,X0,sK23)
| X0 = X1
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24) )
| ~ spl25_6 ),
inference(resolution,[],[f157,f312]) ).
fof(f395,definition,
( spl25_9
<=> end_point(sK6(sF24),sF24) ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f396,plain,
( ~ end_point(sK6(sF24),sF24)
| spl25_9 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( end_point(sK6(sF24),sF24)
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f533,plain,
( part_of(sF24,sK14(sK22))
| part_of(sF24,sK14(sK22)) ),
inference(resolution,[],[f345,f223]) ).
fof(f538,plain,
part_of(sF24,sK14(sK22)),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f645,plain,
( open(sF24)
| sF24 = sK14(sK22) ),
inference(resolution,[],[f136,f538]) ).
fof(f648,plain,
( sF24 = sK14(sK22)
| spl25_2 ),
inference(forward_subsumption_resolution,[],[f645,f285]) ).
fof(f660,plain,
( open(sF24)
| spl25_2 ),
inference(superposition,[],[f166,f648]) ).
fof(f672,plain,
( $false
| spl25_2 ),
inference(forward_subsumption_resolution,[],[f660,f285]) ).
fof(f673,plain,
spl25_2,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f755,plain,
( ! [X0,X1] :
( ordered_by(sK22,X1,sK23)
| X0 = X1
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| ~ start_point(sK23,sK22)
| sK23 = X0 )
| ~ spl25_6 ),
inference(resolution,[],[f353,f204]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ end_point(X1,sF24)
| X0 = X1
| ~ end_point(X0,sF24)
| ordered_by(sK22,X1,sK23)
| sK23 = X0 )
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f755,f182]) ).
fof(f944,plain,
( ~ open(sF24)
| spl25_9 ),
inference(resolution,[],[f396,f134]) ).
fof(f945,plain,
( $false
| ~ spl25_2
| spl25_9 ),
inference(forward_subsumption_resolution,[],[f944,f284]) ).
fof(f946,plain,
( ~ spl25_2
| spl25_9 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f1019,plain,
( ! [X0] :
( sK6(sF24) = X0
| ~ end_point(X0,sF24)
| ordered_by(sK22,sK6(sF24),sK23)
| sK23 = X0 )
| ~ spl25_6
| ~ spl25_9 ),
inference(resolution,[],[f760,f397]) ).
fof(f1026,definition,
( spl25_21
<=> ordered_by(sK22,sK6(sF24),sK23) ),
introduced(definition,[new_symbols(definition,[spl25_21])],[avatar_definition]) ).
fof(f1028,plain,
( ordered_by(sK22,sK6(sF24),sK23)
| ~ spl25_21 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1030,definition,
( spl25_22
<=> ! [X0] :
( sK6(sF24) = X0
| sK23 = X0
| ~ end_point(X0,sF24) ) ),
introduced(definition,[new_symbols(definition,[spl25_22])],[avatar_definition]) ).
fof(f1031,plain,
( ! [X0] :
( ~ end_point(X0,sF24)
| sK23 = X0
| sK6(sF24) = X0 )
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( spl25_21
| spl25_22
| ~ spl25_6
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f1019,f395,f311,f1030,f1026]) ).
fof(f1058,plain,
( ! [X2,X0,X1] :
( ~ incident_c(sK15(sK22,sF24),sF24)
| between_o(sK22,X0,X1,X2)
| ~ between_c(sF24,X0,X1,X2) )
| ~ spl25_5 ),
inference(resolution,[],[f318,f171]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( ~ between_c(sF24,X0,X1,X2)
| between_o(sK22,X0,X1,X2) )
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f1058,f319]) ).
fof(f1062,plain,
( ! [X0,X1] :
( between_o(sK22,X0,sK23,X1)
| ~ part_of(sF24,sF24)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 )
| ~ spl25_5 ),
inference(resolution,[],[f1061,f226]) ).
fof(f1070,plain,
( ~ start_point(sK23,sK22)
| sK23 = sK6(sF24)
| ~ spl25_21 ),
inference(resolution,[],[f1028,f204]) ).
fof(f1072,plain,
( sK23 = sK6(sF24)
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f1070,f182]) ).
fof(f1080,plain,
( end_point(sK23,sF24)
| ~ open(sF24)
| ~ spl25_21 ),
inference(superposition,[],[f134,f1072]) ).
fof(f1081,plain,
( ~ open(sF24)
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f1080,f193]) ).
fof(f1088,plain,
( $false
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f1081,f284]) ).
fof(f1089,plain,
( ~ spl25_2
| ~ spl25_21 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1115,plain,
( ! [X0,X1] :
( between_o(sK22,X0,sK23,X1)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 )
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f1062,f239]) ).
fof(f1116,plain,
( spl25_6
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f1115,f308,f311]) ).
fof(f1137,plain,
( ! [X0] :
( ~ end_point(X0,sF24)
| sK10(sF24,X0) = sK6(sF24)
| sK23 = sK10(sF24,X0) )
| ~ spl25_22 ),
inference(resolution,[],[f1031,f143]) ).
fof(f1154,plain,
( sK6(sF24) = sK10(sF24,sK6(sF24))
| sK23 = sK10(sF24,sK6(sF24))
| ~ spl25_9
| ~ spl25_22 ),
inference(resolution,[],[f1137,f397]) ).
fof(f1161,definition,
( spl25_27
<=> sK23 = sK10(sF24,sK6(sF24)) ),
introduced(definition,[new_symbols(definition,[spl25_27])],[avatar_definition]) ).
fof(f1163,plain,
( sK23 = sK10(sF24,sK6(sF24))
| ~ spl25_27 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1165,definition,
( spl25_28
<=> sK6(sF24) = sK10(sF24,sK6(sF24)) ),
introduced(definition,[new_symbols(definition,[spl25_28])],[avatar_definition]) ).
fof(f1167,plain,
( sK6(sF24) = sK10(sF24,sK6(sF24))
| ~ spl25_28 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1168,plain,
( spl25_27
| spl25_28
| ~ spl25_9
| ~ spl25_22 ),
inference(avatar_split_clause,[],[f1154,f1030,f395,f1165,f1161]) ).
fof(f1172,plain,
( end_point(sK23,sF24)
| ~ end_point(sK6(sF24),sF24)
| ~ spl25_27 ),
inference(superposition,[],[f143,f1163]) ).
fof(f1174,plain,
( ~ end_point(sK6(sF24),sF24)
| ~ spl25_27 ),
inference(forward_subsumption_resolution,[],[f1172,f193]) ).
fof(f1176,plain,
( $false
| ~ spl25_9
| ~ spl25_27 ),
inference(forward_subsumption_resolution,[],[f1174,f397]) ).
fof(f1177,plain,
( ~ spl25_9
| ~ spl25_27 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1179,plain,
( sK6(sF24) != sK6(sF24)
| ~ end_point(sK6(sF24),sF24)
| ~ spl25_28 ),
inference(superposition,[],[f142,f1167]) ).
fof(f1182,plain,
( ~ end_point(sK6(sF24),sF24)
| ~ spl25_28 ),
inference(trivial_inequality_removal,[],[f1179]) ).
fof(f1183,plain,
( $false
| ~ spl25_9
| ~ spl25_28 ),
inference(forward_subsumption_resolution,[],[f1182,f397]) ).
fof(f1184,plain,
( ~ spl25_9
| ~ spl25_28 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
cnf(s3,plain,
( spl25_5
| spl25_6 ),
inference(sat_conversion,[],[f313]) ).
cnf(s10,plain,
spl25_2,
inference(sat_conversion,[],[f673]) ).
cnf(s18,plain,
( ~ spl25_2
| spl25_9 ),
inference(sat_conversion,[],[f946]) ).
cnf(s22,plain,
( ~ spl25_6
| ~ spl25_9
| spl25_21
| spl25_22 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s29,plain,
( ~ spl25_2
| ~ spl25_21 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s31,plain,
( ~ spl25_5
| spl25_6 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s32,plain,
( ~ spl25_9
| ~ spl25_22
| spl25_27
| spl25_28 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s34,plain,
( ~ spl25_9
| ~ spl25_27 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s35,plain,
( ~ spl25_9
| ~ spl25_28 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s36,plain,
~ spl25_21,
inference(rat,[],[s29,s10]) ).
cnf(s37,plain,
spl25_9,
inference(rat,[],[s18,s10]) ).
cnf(s38,plain,
~ spl25_28,
inference(rat,[],[s35,s37]) ).
cnf(s39,plain,
~ spl25_27,
inference(rat,[],[s34,s37]) ).
cnf(s40,plain,
~ spl25_22,
inference(rat,[],[s32,s38,s39,s37]) ).
cnf(s41,plain,
~ spl25_6,
inference(rat,[],[s22,s40,s36,s37]) ).
cnf(s43,plain,
~ spl25_5,
inference(rat,[],[s31,s41]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s3,s41,s43]) ).
fof(f1185,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO119+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:07:23 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.59 % (1979460)Detected formulas, will run a generic FOF schedule.
% 3.81/1.59 % (1979465)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3846843824:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.81/1.59 % (1979466)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=538219117:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.81/1.59 % (1979468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2226515867:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.81/1.59 % (1979471)dis-21_1_sil=8000:lcm=predicate:random_seed=4154273351:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.81/1.59 % (1979467)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1246496007:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.81/1.59 % (1979469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=985702362:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.81/1.59 % (1979470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1111962074:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.81/1.59 % (1979468)Refutation not found, incomplete strategy
% 3.81/1.59 % (1979468)------------------------------
% 3.81/1.59 % (1979468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979468)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979468)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.59 % (1979468)Time elapsed: 0.001 s
% 3.81/1.59 % (1979468)Peak memory usage: 88 MB
% 3.81/1.59 % (1979469)Instruction limit reached!
% 3.81/1.59 % (1979469)------------------------------
% 3.81/1.59 % (1979469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979469)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979469)Termination reason: Instruction limit
% 3.81/1.59 % (1979469)Termination phase: Saturation
% 3.81/1.59 % (1979469)Time elapsed: 0.050 s
% 3.81/1.59 % (1979469)Peak memory usage: 87 MB
% 3.81/1.59 % (1979469)Instructions burned: 121 (million)
% 3.81/1.59 % (1979471)Instruction limit reached!
% 3.81/1.59 % (1979471)------------------------------
% 3.81/1.59 % (1979471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979471)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979471)Termination reason: Instruction limit
% 3.81/1.59 % (1979471)Termination phase: Saturation
% 3.81/1.59 % (1979471)Time elapsed: 0.077 s
% 3.81/1.59 % (1979471)Peak memory usage: 89 MB
% 3.81/1.59 % (1979471)Instructions burned: 129 (million)
% 3.81/1.59 % (1979470)Instruction limit reached!
% 3.81/1.59 % (1979470)------------------------------
% 3.81/1.59 % (1979470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979470)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979470)Termination reason: Instruction limit
% 3.81/1.59 % (1979470)Termination phase: Saturation
% 3.81/1.59 % (1979470)Time elapsed: 0.093 s
% 3.81/1.59 % (1979470)Peak memory usage: 89 MB
% 3.81/1.59 % (1979470)Instructions burned: 139 (million)
% 3.81/1.59 % (1979479)lrs+10_1_sil=8000:sp=occurrence:random_seed=2069000566:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.81/1.59 % (1979480)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2949194283:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.81/1.59 % (1979480)Refutation not found, incomplete strategy
% 3.81/1.59 % (1979480)------------------------------
% 3.81/1.59 % (1979480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979480)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979480)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.59 % (1979480)Time elapsed: 0.002 s
% 3.81/1.59 % (1979480)Peak memory usage: 88 MB
% 3.81/1.59 % (1979480)Instructions burned: 1 (million)
% 3.81/1.59 % (1979468)------------------------------
% 3.81/1.59 % (1979468)------------------------------
% 3.81/1.59 % (1979481)lrs+1011_1_sil=32000:sp=occurrence:random_seed=217580402:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.81/1.59 % (1979481)Refutation not found, incomplete strategy
% 3.81/1.59 % (1979481)------------------------------
% 3.81/1.59 % (1979481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979481)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979481)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.59 % (1979481)Time elapsed: 0.003 s
% 3.81/1.59 % (1979481)Peak memory usage: 88 MB
% 3.81/1.59 % (1979481)Instructions burned: 3 (million)
% 3.81/1.59 % (1979479)Instruction limit reached!
% 3.81/1.59 % (1979479)------------------------------
% 3.81/1.59 % (1979479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979479)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979479)Termination reason: Instruction limit
% 3.81/1.59 % (1979479)Termination phase: Saturation
% 3.81/1.59 % (1979479)Time elapsed: 0.146 s
% 3.81/1.59 % (1979479)Peak memory usage: 89 MB
% 3.81/1.59 % (1979479)Instructions burned: 287 (million)
% 3.81/1.59 % (1979465)First to succeed.
% 3.81/1.59 % (1979465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1979460"
% 3.81/1.59 % (1979485)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2038877387:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.81/1.59 % (1979480)------------------------------
% 3.81/1.59 % (1979480)------------------------------
% 3.81/1.59 % (1979481)------------------------------
% 3.81/1.59 % (1979481)------------------------------
% 3.81/1.59 % (1979486)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3130391931:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.81/1.59 % (1979486)Refutation not found, incomplete strategy
% 3.81/1.59 % (1979486)------------------------------
% 3.81/1.59 % (1979486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.59 % (1979486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.59 % (1979486)CaDiCaL version: 2.1.3
% 3.81/1.59 % (1979486)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.59 % (1979486)Time elapsed: 0.003 s
% 3.81/1.59 % (1979486)Peak memory usage: 88 MB
% 3.81/1.59 % (1979486)Instructions burned: 3 (million)
% 3.81/1.59 % (1979465)Refutation found. Thanks to Tanya!
% 3.81/1.59 % SZS status Theorem for theBenchmark
% 3.81/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.67/1.79 % (1979465)------------------------------
% 5.67/1.79 % (1979465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.79 % (1979465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.79 % (1979465)CaDiCaL version: 2.1.3
% 5.67/1.79 % (1979465)Termination reason: Refutation
% 5.67/1.79 % (1979465)Time elapsed: 0.432 s
% 5.67/1.79 % (1979465)Peak memory usage: 131 MB
% 5.67/1.79 % (1979465)Instructions burned: 1126 (million)
% 5.67/1.79 % (1979465)------------------------------
% 5.67/1.79 % (1979465)------------------------------
% 5.67/1.79 % (1979460)Success in time 0.721 s
% 5.67/1.79 % Vampire exiting
%------------------------------------------------------------------------------