%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO120+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 : n008.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 7.59s 2.05s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 176 ( 24 unt; 9 def)
% Number of atoms : 611 ( 69 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 720 ( 285 ~; 314 |; 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 : 293 ( 0 sgn 270 !; 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(f20,axiom,
! [X0,X1] :
( finish_point(X0,X1)
<=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_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] :
( finish_point(X1,X0)
=> end_point(X1,underlying_curve(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_6_2) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( finish_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] :
( finish_point(X0,X1)
=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X2,X0) ) ) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f34,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f40,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f41,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f40]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2] :
( end_point(X2,X0)
& X1 != X2 )
| ~ end_point(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f54,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X2,X0)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ finish_point(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X2,X0)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ finish_point(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( incident_o(X1,X0)
& incident_o(X2,X0) )
| ~ ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f60,plain,
? [X0,X1] :
( ~ end_point(X1,underlying_curve(X0))
& finish_point(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,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,[],[f34]) ).
fof(f62,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,[],[f61]) ).
fof(f63,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))],[f62]) ).
fof(f72,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(f73,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,[],[f72]) ).
fof(f79,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X1] : end_point(X1,X0)
| ~ open(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X2] : end_point(X2,X0)
| ~ open(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,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))],[f80]) ).
fof(f84,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))],[f47]) ).
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
& ? [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(f90,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,[],[f89]) ).
fof(f91,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,[],[f90]) ).
fof(f92,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))],[f91]) ).
fof(f93,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(f94,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,[],[f93]) ).
fof(f95,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(f96,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))],[f95]) ).
fof(f97,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(f98,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,[],[f97]) ).
fof(f99,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))],[f98]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f107,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))],[f106]) ).
fof(f108,plain,
( ~ end_point(sK23,underlying_curve(sK22))
& finish_point(sK23,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f60]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f110,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f111,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f128,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f137,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f139,plain,
! [X0,X1] :
( ~ part_of(X1,X0)
| open(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f145,plain,
! [X0,X1] :
( sK10(X0,X1) != X1
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f146,plain,
! [X0,X1] :
( end_point(sK10(X0,X1),X0)
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f156,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,[],[f92]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| ordered_by(X0,X2,X1)
| ordered_by(X0,X2,X3) ),
inference(cnf_transformation,[],[f94]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X3,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f166,plain,
! [X0,X1] :
( ~ finish_point(X0,X1)
| incident_o(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f169,plain,
! [X2,X0] :
( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f171,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f96]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f175,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,[],[f99]) ).
fof(f176,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,[],[f99]) ).
fof(f183,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_o(X3,X1)
| underlying_curve(X1) != X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f184,plain,
! [X3,X0,X1] :
( incident_o(X3,X1)
| ~ incident_c(X3,X0)
| underlying_curve(X1) != X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f187,plain,
finish_point(sK23,sK22),
inference(cnf_transformation,[],[f108]) ).
fof(f188,plain,
~ end_point(sK23,underlying_curve(sK22)),
inference(cnf_transformation,[],[f108]) ).
fof(f193,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f155]) ).
fof(f194,plain,
! [X3,X1] :
( ~ incident_c(X3,underlying_curve(X1))
| incident_o(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f195,plain,
! [X3,X1] :
( incident_c(X3,underlying_curve(X1))
| ~ incident_o(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f196,definition,
sF24 = underlying_curve(sK22),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f197,plain,
underlying_curve(sK22) = sF24,
inference(reorient_equations,[],[f196]) ).
fof(f198,plain,
~ end_point(sK23,sF24),
inference(definition_folding,[],[f188,f197]) ).
fof(f199,plain,
! [X0] :
( ~ incident_c(X0,sF24)
| incident_o(X0,sK22) ),
inference(superposition,[],[f194,f197]) ).
fof(f200,plain,
incident_o(sK23,sK22),
inference(resolution,[],[f166,f187]) ).
fof(f202,plain,
! [X0] :
( ~ incident_o(X0,sK22)
| incident_c(X0,sF24) ),
inference(superposition,[],[f195,f197]) ).
fof(f203,plain,
incident_c(sK23,sF24),
inference(resolution,[],[f200,f202]) ).
fof(f205,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f193,f172]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f205,f161]) ).
fof(f208,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ incident_o(X1,X2)
| ~ finish_point(X0,X2)
| ~ ordered_by(X2,X0,X1) ),
inference(resolution,[],[f165,f207]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ ordered_by(X2,X0,X1)
| ~ finish_point(X0,X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f208,f167]) ).
fof(f216,plain,
! [X0] :
( incident_o(sK0(X0,sF24),sK22)
| part_of(sF24,X0) ),
inference(resolution,[],[f110,f199]) ).
fof(f219,plain,
( inner_point(sK23,sF24)
| end_point(sK23,sF24) ),
inference(resolution,[],[f128,f203]) ).
fof(f221,plain,
inner_point(sK23,sF24),
inference(forward_subsumption_resolution,[],[f219,f198]) ).
fof(f223,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,[],[f221,f156]) ).
fof(f235,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f111,f110]) ).
fof(f237,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f264,definition,
( spl25_2
<=> open(sF24) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f265,plain,
( open(sF24)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ open(sF24)
| spl25_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f286,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,[],[f175,f223]) ).
fof(f291,plain,
! [X0,X1] :
( ~ incident_o(sK0(sK14(X0),X1),X0)
| part_of(X1,sK14(X0)) ),
inference(resolution,[],[f169,f111]) ).
fof(f393,definition,
( spl25_7
<=> end_point(sK6(sF24),sF24) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f394,plain,
( ~ end_point(sK6(sF24),sF24)
| spl25_7 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f395,plain,
( end_point(sK6(sF24),sF24)
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f444,plain,
( part_of(sF24,sK14(sK22))
| part_of(sF24,sK14(sK22)) ),
inference(resolution,[],[f291,f216]) ).
fof(f449,plain,
part_of(sF24,sK14(sK22)),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f600,plain,
( open(sF24)
| sF24 = sK14(sK22) ),
inference(resolution,[],[f139,f449]) ).
fof(f602,plain,
( sF24 = sK14(sK22)
| spl25_2 ),
inference(forward_subsumption_resolution,[],[f600,f266]) ).
fof(f612,plain,
( open(sF24)
| spl25_2 ),
inference(superposition,[],[f171,f602]) ).
fof(f622,plain,
( $false
| spl25_2 ),
inference(forward_subsumption_resolution,[],[f612,f266]) ).
fof(f623,plain,
spl25_2,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f699,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,[],[f286,f202]) ).
fof(f714,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,[],[f699,f109]) ).
fof(f719,definition,
( spl25_14
<=> ! [X2,X1] :
( between_o(sK22,X1,sK23,X2)
| X1 = X2
| ~ end_point(X2,sF24)
| ~ end_point(X1,sF24) ) ),
introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).
fof(f720,plain,
( ! [X2,X1] :
( between_o(sK22,X1,sK23,X2)
| X1 = X2
| ~ end_point(X2,sF24)
| ~ end_point(X1,sF24) )
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f723,definition,
( spl25_15
<=> ! [X0] :
( incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).
fof(f724,plain,
( ! [X0] :
( incident_c(sK15(sK22,X0),X0)
| ~ part_of(sF24,X0) )
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f725,plain,
( spl25_15
| spl25_14 ),
inference(avatar_split_clause,[],[f714,f719,f723]) ).
fof(f730,plain,
( ! [X0,X1] :
( ordered_by(sK22,sK23,X1)
| ordered_by(sK22,sK23,X0)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 )
| ~ spl25_14 ),
inference(resolution,[],[f720,f157]) ).
fof(f864,plain,
( ~ open(sF24)
| spl25_7 ),
inference(resolution,[],[f394,f137]) ).
fof(f865,plain,
( $false
| ~ spl25_2
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f864,f265]) ).
fof(f866,plain,
( ~ spl25_2
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f951,definition,
( spl25_22
<=> ordered_by(sK22,sK23,sK6(sF24)) ),
introduced(definition,[new_symbols(definition,[spl25_22])],[avatar_definition]) ).
fof(f952,plain,
( ~ ordered_by(sK22,sK23,sK6(sF24))
| spl25_22 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f953,plain,
( ordered_by(sK22,sK23,sK6(sF24))
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f964,plain,
( ~ part_of(sF24,sF24)
| incident_o(sK15(sK22,sF24),sK22)
| ~ spl25_15 ),
inference(resolution,[],[f724,f199]) ).
fof(f965,plain,
( incident_o(sK15(sK22,sF24),sK22)
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f964,f237]) ).
fof(f968,plain,
( incident_c(sK15(sK22,sF24),sF24)
| ~ spl25_15 ),
inference(resolution,[],[f965,f202]) ).
fof(f983,plain,
( ~ finish_point(sK23,sK22)
| sK23 = sK6(sF24)
| ~ spl25_22 ),
inference(resolution,[],[f953,f209]) ).
fof(f986,plain,
( sK23 = sK6(sF24)
| ~ spl25_22 ),
inference(forward_subsumption_resolution,[],[f983,f187]) ).
fof(f988,definition,
( spl25_26
<=> sK23 = sK6(sF24) ),
introduced(definition,[new_symbols(definition,[spl25_26])],[avatar_definition]) ).
fof(f990,plain,
( sK23 = sK6(sF24)
| ~ spl25_26 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f996,plain,
( spl25_26
| ~ spl25_22 ),
inference(avatar_split_clause,[],[f986,f951,f988]) ).
fof(f1048,plain,
( ! [X0] :
( ordered_by(sK22,sK23,X0)
| ~ end_point(sK6(sF24),sF24)
| ~ end_point(X0,sF24)
| sK6(sF24) = X0 )
| ~ spl25_14
| spl25_22 ),
inference(resolution,[],[f730,f952]) ).
fof(f1061,plain,
( ! [X0] :
( ordered_by(sK22,sK23,X0)
| ~ end_point(X0,sF24)
| sK6(sF24) = X0 )
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(forward_subsumption_resolution,[],[f1048,f395]) ).
fof(f1071,plain,
( ! [X0] :
( ~ end_point(X0,sF24)
| sK6(sF24) = X0
| ~ finish_point(sK23,sK22)
| sK23 = X0 )
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(resolution,[],[f1061,f209]) ).
fof(f1075,plain,
( ! [X0] :
( ~ end_point(X0,sF24)
| sK6(sF24) = X0
| sK23 = X0 )
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(forward_subsumption_resolution,[],[f1071,f187]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( ~ incident_c(sK15(sK22,sF24),sF24)
| between_o(sK22,X0,X1,X2)
| ~ between_c(sF24,X0,X1,X2) )
| ~ spl25_15 ),
inference(resolution,[],[f965,f176]) ).
fof(f1109,plain,
( ! [X2,X0,X1] :
( ~ between_c(sF24,X0,X1,X2)
| between_o(sK22,X0,X1,X2) )
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f1106,f968]) ).
fof(f1110,plain,
( ! [X0,X1] :
( between_o(sK22,X0,sK23,X1)
| ~ part_of(sF24,sF24)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 )
| ~ spl25_15 ),
inference(resolution,[],[f1109,f223]) ).
fof(f1113,plain,
( ! [X0,X1] :
( between_o(sK22,X0,sK23,X1)
| ~ end_point(X0,sF24)
| ~ end_point(X1,sF24)
| X0 = X1 )
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f1110,f237]) ).
fof(f1114,plain,
( spl25_14
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f1113,f723,f719]) ).
fof(f1123,plain,
( end_point(sK23,sF24)
| ~ open(sF24)
| ~ spl25_26 ),
inference(superposition,[],[f137,f990]) ).
fof(f1124,plain,
( ~ open(sF24)
| ~ spl25_26 ),
inference(forward_subsumption_resolution,[],[f1123,f198]) ).
fof(f1129,plain,
( $false
| ~ spl25_2
| ~ spl25_26 ),
inference(forward_subsumption_resolution,[],[f1124,f265]) ).
fof(f1130,plain,
( ~ spl25_2
| ~ spl25_26 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1296,plain,
( ! [X0] :
( ~ end_point(X0,sF24)
| sK23 = sK10(sF24,X0)
| sK6(sF24) = sK10(sF24,X0) )
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(resolution,[],[f1075,f146]) ).
fof(f1301,plain,
( sK23 = sK10(sF24,sK6(sF24))
| sK6(sF24) = sK10(sF24,sK6(sF24))
| ~ open(sF24)
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(resolution,[],[f1296,f137]) ).
fof(f1304,plain,
( sK23 = sK10(sF24,sK6(sF24))
| sK6(sF24) = sK10(sF24,sK6(sF24))
| ~ spl25_2
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(forward_subsumption_resolution,[],[f1301,f265]) ).
fof(f1306,definition,
( spl25_41
<=> sK6(sF24) = sK10(sF24,sK6(sF24)) ),
introduced(definition,[new_symbols(definition,[spl25_41])],[avatar_definition]) ).
fof(f1308,plain,
( sK6(sF24) = sK10(sF24,sK6(sF24))
| ~ spl25_41 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1310,definition,
( spl25_42
<=> sK23 = sK10(sF24,sK6(sF24)) ),
introduced(definition,[new_symbols(definition,[spl25_42])],[avatar_definition]) ).
fof(f1312,plain,
( sK23 = sK10(sF24,sK6(sF24))
| ~ spl25_42 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1314,plain,
( spl25_41
| spl25_42
| ~ spl25_2
| ~ spl25_7
| ~ spl25_14
| spl25_22 ),
inference(avatar_split_clause,[],[f1304,f951,f719,f393,f264,f1310,f1306]) ).
fof(f1316,plain,
( sK6(sF24) != sK6(sF24)
| ~ end_point(sK6(sF24),sF24)
| ~ spl25_41 ),
inference(superposition,[],[f145,f1308]) ).
fof(f1319,plain,
( ~ end_point(sK6(sF24),sF24)
| ~ spl25_41 ),
inference(trivial_inequality_removal,[],[f1316]) ).
fof(f1320,plain,
( $false
| ~ spl25_7
| ~ spl25_41 ),
inference(forward_subsumption_resolution,[],[f1319,f395]) ).
fof(f1321,plain,
( ~ spl25_7
| ~ spl25_41 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1324,plain,
( end_point(sK23,sF24)
| ~ end_point(sK6(sF24),sF24)
| ~ spl25_42 ),
inference(superposition,[],[f146,f1312]) ).
fof(f1326,plain,
( ~ end_point(sK6(sF24),sF24)
| ~ spl25_42 ),
inference(forward_subsumption_resolution,[],[f1324,f198]) ).
fof(f1327,plain,
( $false
| ~ spl25_7
| ~ spl25_42 ),
inference(forward_subsumption_resolution,[],[f1326,f395]) ).
fof(f1328,plain,
( ~ spl25_7
| ~ spl25_42 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
cnf(s10,plain,
spl25_2,
inference(sat_conversion,[],[f623]) ).
cnf(s14,plain,
( spl25_14
| spl25_15 ),
inference(sat_conversion,[],[f725]) ).
cnf(s20,plain,
( ~ spl25_2
| spl25_7 ),
inference(sat_conversion,[],[f866]) ).
cnf(s32,plain,
( ~ spl25_22
| spl25_26 ),
inference(sat_conversion,[],[f996]) ).
cnf(s36,plain,
( spl25_14
| ~ spl25_15 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s41,plain,
( ~ spl25_2
| ~ spl25_26 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s51,plain,
( ~ spl25_2
| ~ spl25_7
| ~ spl25_14
| spl25_22
| spl25_41
| spl25_42 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s52,plain,
( ~ spl25_7
| ~ spl25_41 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s53,plain,
( ~ spl25_7
| ~ spl25_42 ),
inference(sat_conversion,[],[f1328]) ).
cnf(s54,plain,
~ spl25_26,
inference(rat,[],[s41,s10]) ).
cnf(s55,plain,
spl25_7,
inference(rat,[],[s20,s10]) ).
cnf(s56,plain,
~ spl25_22,
inference(rat,[],[s32,s54]) ).
cnf(s57,plain,
~ spl25_42,
inference(rat,[],[s53,s55]) ).
cnf(s58,plain,
~ spl25_41,
inference(rat,[],[s52,s55]) ).
cnf(s59,plain,
~ spl25_14,
inference(rat,[],[s51,s57,s58,s56,s10,s55]) ).
cnf(s63,plain,
~ spl25_15,
inference(rat,[],[s36,s59]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s14,s63,s59]) ).
fof(f1329,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO120+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:06:55 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 7.59/2.05 % (884514)Detected formulas, will run a generic FOF schedule.
% 7.59/2.05 % (884523)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=451930225:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.59/2.05 % (884523)Instruction limit reached!
% 7.59/2.05 % (884523)------------------------------
% 7.59/2.05 % (884523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884523)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884523)Termination reason: Instruction limit
% 7.59/2.05 % (884523)Termination phase: Saturation
% 7.59/2.05 % (884523)Time elapsed: 0.027 s
% 7.59/2.05 % (884523)Peak memory usage: 88 MB
% 7.59/2.05 % (884523)Instructions burned: 122 (million)
% 7.59/2.05 % (884524)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2821486740:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.59/2.05 % (884519)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=4257180392:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.59/2.05 % (884522)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2518289199:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.59/2.05 % (884520)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=3108773117:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.59/2.05 % (884521)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=3113294791:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.59/2.05 % (884522)Refutation not found, incomplete strategy
% 7.59/2.05 % (884522)------------------------------
% 7.59/2.05 % (884522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884522)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884522)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.05 % (884522)Time elapsed: 0.001 s
% 7.59/2.05 % (884522)Peak memory usage: 88 MB
% 7.59/2.05 % (884525)dis-21_1_sil=8000:lcm=predicate:random_seed=1589701305: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)
% 7.59/2.05 % (884525)Instruction limit reached!
% 7.59/2.05 % (884525)------------------------------
% 7.59/2.05 % (884525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884525)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884525)Termination reason: Instruction limit
% 7.59/2.05 % (884525)Termination phase: Saturation
% 7.59/2.05 % (884525)Time elapsed: 0.077 s
% 7.59/2.05 % (884525)Peak memory usage: 89 MB
% 7.59/2.05 % (884525)Instructions burned: 129 (million)
% 7.59/2.05 % (884527)lrs+10_1_sil=8000:sp=occurrence:random_seed=3197452530:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.59/2.05 % (884524)Instruction limit reached!
% 7.59/2.05 % (884524)------------------------------
% 7.59/2.05 % (884524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884524)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884524)Termination reason: Instruction limit
% 7.59/2.05 % (884524)Termination phase: Saturation
% 7.59/2.05 % (884524)Time elapsed: 0.113 s
% 7.59/2.05 % (884524)Peak memory usage: 90 MB
% 7.59/2.05 % (884524)Instructions burned: 159 (million)
% 7.59/2.05 % (884527)Instruction limit reached!
% 7.59/2.05 % (884527)------------------------------
% 7.59/2.05 % (884527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884527)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884527)Termination reason: Instruction limit
% 7.59/2.05 % (884527)Termination phase: Saturation
% 7.59/2.05 % (884527)Time elapsed: 0.105 s
% 7.59/2.05 % (884527)Peak memory usage: 90 MB
% 7.59/2.05 % (884527)Instructions burned: 286 (million)
% 7.59/2.05 % (884534)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2277849346:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.59/2.05 % (884534)Refutation not found, incomplete strategy
% 7.59/2.05 % (884534)------------------------------
% 7.59/2.05 % (884534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884534)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884534)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.05 % (884534)Time elapsed: 0.002 s
% 7.59/2.05 % (884534)Peak memory usage: 88 MB
% 7.59/2.05 % (884534)Instructions burned: 1 (million)
% 7.59/2.05 % (884522)------------------------------
% 7.59/2.05 % (884522)------------------------------
% 7.59/2.05 % (884536)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3856924359:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.59/2.05 % (884536)Refutation not found, incomplete strategy
% 7.59/2.05 % (884536)------------------------------
% 7.59/2.05 % (884536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884536)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884536)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.05 % (884536)Time elapsed: 0.003 s
% 7.59/2.05 % (884536)Peak memory usage: 88 MB
% 7.59/2.05 % (884536)Instructions burned: 2 (million)
% 7.59/2.05 % (884537)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=2216198633:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.59/2.05 % (884537)Instruction limit reached!
% 7.59/2.05 % (884537)------------------------------
% 7.59/2.05 % (884537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884537)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884537)Termination reason: Instruction limit
% 7.59/2.05 % (884537)Termination phase: Saturation
% 7.59/2.05 % (884537)Time elapsed: 0.075 s
% 7.59/2.05 % (884537)Peak memory usage: 90 MB
% 7.59/2.05 % (884537)Instructions burned: 249 (million)
% 7.59/2.05 % (884540)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=456451771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.59/2.05 % (884540)Refutation not found, incomplete strategy
% 7.59/2.05 % (884540)------------------------------
% 7.59/2.05 % (884540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884540)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884540)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.05 % (884540)Time elapsed: 0.003 s
% 7.59/2.05 % (884540)Peak memory usage: 88 MB
% 7.59/2.05 % (884540)Instructions burned: 3 (million)
% 7.59/2.05 % (884534)------------------------------
% 7.59/2.05 % (884534)------------------------------
% 7.59/2.05 % (884542)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3039620274:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.59/2.05 % (884536)------------------------------
% 7.59/2.05 % (884536)------------------------------
% 7.59/2.05 % (884544)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2858927232:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.59/2.05 % (884544)Instruction limit reached!
% 7.59/2.05 % (884544)------------------------------
% 7.59/2.05 % (884544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884544)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884544)Termination reason: Instruction limit
% 7.59/2.05 % (884544)Termination phase: Saturation
% 7.59/2.05 % (884544)Time elapsed: 0.052 s
% 7.59/2.05 % (884544)Peak memory usage: 88 MB
% 7.59/2.05 % (884544)Instructions burned: 114 (million)
% 7.59/2.05 % (884540)------------------------------
% 7.59/2.05 % (884540)------------------------------
% 7.59/2.05 % (884546)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2218372954:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.59/2.05 % (884546)Instruction limit reached!
% 7.59/2.05 % (884546)------------------------------
% 7.59/2.05 % (884546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884546)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884546)Termination reason: Instruction limit
% 7.59/2.05 % (884546)Termination phase: Saturation
% 7.59/2.05 % (884546)Time elapsed: 0.065 s
% 7.59/2.05 % (884546)Peak memory usage: 89 MB
% 7.59/2.05 % (884546)Instructions burned: 128 (million)
% 7.59/2.05 % (884550)lrs+10_1_sil=8000:sp=occurrence:random_seed=3085493012:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.59/2.05 % (884548)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2283331932:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.59/2.05 % (884519)First to succeed.
% 7.59/2.05 % (884519)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-884514"
% 7.59/2.05 % (884548)Instruction limit reached!
% 7.59/2.05 % (884548)------------------------------
% 7.59/2.05 % (884548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884548)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884548)Termination reason: Instruction limit
% 7.59/2.05 % (884548)Termination phase: Saturation
% 7.59/2.05 % (884548)Time elapsed: 0.060 s
% 7.59/2.05 % (884548)Peak memory usage: 88 MB
% 7.59/2.05 % (884548)Instructions burned: 114 (million)
% 7.59/2.05 % (884551)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2934382641:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.59/2.05 % (884551)Refutation not found, incomplete strategy
% 7.59/2.05 % (884551)------------------------------
% 7.59/2.05 % (884551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.05 % (884551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.05 % (884551)CaDiCaL version: 2.1.3
% 7.59/2.05 % (884551)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.05 % (884551)Time elapsed: 0.001 s
% 7.59/2.05 % (884551)Peak memory usage: 88 MB
% 7.59/2.05 % (884554)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1290308983:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.59/2.05 % (884519)Refutation found. Thanks to Tanya!
% 7.59/2.05 % SZS status Theorem for theBenchmark
% 7.59/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.15 % (884519)------------------------------
% 9.01/2.15 % (884519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.15 % (884519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.15 % (884519)CaDiCaL version: 2.1.3
% 9.01/2.15 % (884519)Termination reason: Refutation
% 9.01/2.15 % (884519)Time elapsed: 0.791 s
% 9.01/2.15 % (884519)Peak memory usage: 130 MB
% 9.01/2.15 % (884519)Instructions burned: 1155 (million)
% 9.01/2.15 % (884519)------------------------------
% 9.01/2.15 % (884519)------------------------------
% 9.01/2.15 % (884514)Success in time 1.206 s
% 9.01/2.15 % Vampire exiting
%------------------------------------------------------------------------------