%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO137+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 : n010.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 09:51:39 AM UTC 2026
% Result : Theorem 6.87s 2.30s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 34
% Syntax : Number of formulae : 382 ( 30 unt; 25 def)
% Number of atoms : 1265 ( 124 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1488 ( 605 ~; 752 |; 83 &)
% ( 39 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 26 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 418 ( 0 sgn 385 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f24,axiom,
! [X0] :
? [X1] : start_point(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4) ).
fof(f26,axiom,
! [X0,X1] :
( ! [X2,X3] :
( ordered_by(X0,X2,X3)
<=> ordered_by(X1,X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6) ).
fof(f28,conjecture,
! [X0,X1] :
( ( ! [X2] :
( incident_o(X2,X0)
<=> incident_o(X2,X1) )
& ? [X2,X3] :
( ordered_by(X0,X2,X3)
& ordered_by(X1,X2,X3) ) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_20) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( ( ! [X2] :
( incident_o(X2,X0)
<=> incident_o(X2,X1) )
& ? [X2,X3] :
( ordered_by(X0,X2,X3)
& ordered_by(X1,X2,X3) ) )
=> X0 = X1 ),
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] :
( ( ! [X2] :
( incident_o(X2,X0)
<=> incident_o(X2,X1) )
& ? [X3,X4] :
( ordered_by(X0,X3,X4)
& ordered_by(X1,X3,X4) ) )
=> X0 = X1 ),
inference(rectify,[],[f29]) ).
fof(f32,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(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(ennf_transformation,[],[f32]) ).
fof(f53,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,[],[f52]) ).
fof(f54,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] :
( X0 = X1
| ? [X2,X3] :
( ordered_by(X0,X2,X3)
<~> ordered_by(X1,X2,X3) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f58,plain,
? [X0,X1] :
( X0 != X1
& ! [X2] :
( incident_o(X2,X0)
<=> incident_o(X2,X1) )
& ? [X3,X4] :
( ordered_by(X0,X3,X4)
& ordered_by(X1,X3,X4) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f59,plain,
? [X0,X1] :
( X0 != X1
& ! [X2] :
( incident_o(X2,X0)
<=> incident_o(X2,X1) )
& ? [X3,X4] :
( ordered_by(X0,X3,X4)
& ordered_by(X1,X3,X4) ) ),
inference(flattening,[],[f58]) ).
fof(f71,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(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(flattening,[],[f71]) ).
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
& ? [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(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(flattening,[],[f88]) ).
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
& ? [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,[],[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
& 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))],[f90]) ).
fof(f92,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(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(flattening,[],[f92]) ).
fof(f96,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(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) ) )
& ( ? [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,[],[f96]) ).
fof(f98,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))],[f97]) ).
fof(f99,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f24]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ? [X2,X3] :
( ( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X0,X2,X3) )
& ( ordered_by(X1,X2,X3)
| ordered_by(X0,X2,X3) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ ordered_by(X1,sK19(X0,X1),sK20(X0,X1))
| ~ ordered_by(X0,sK19(X0,X1),sK20(X0,X1)) )
& ( ordered_by(X1,sK19(X0,X1),sK20(X0,X1))
| ordered_by(X0,sK19(X0,X1),sK20(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X2,sK19(X0,X1)),skolemize(X3,sK20(X0,X1))],[f102]) ).
fof(f107,plain,
? [X0,X1] :
( X0 != X1
& ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_o(X2,X1) )
& ( incident_o(X2,X1)
| ~ incident_o(X2,X0) ) )
& ? [X3,X4] :
( ordered_by(X0,X3,X4)
& ordered_by(X1,X3,X4) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f108,plain,
( sK22 != sK23
& ! [X2] :
( ( incident_o(X2,sK22)
| ~ incident_o(X2,sK23) )
& ( incident_o(X2,sK23)
| ~ incident_o(X2,sK22) ) )
& ordered_by(sK22,sK24,sK25)
& ordered_by(sK23,sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X3,sK24),skolemize(X4,sK25)],[f107]) ).
fof(f126,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( inner_point(X2,sK13(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( end_point(X1,sK13(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f91]) ).
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,[],[f93]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| ordered_by(X0,X3,X2)
| ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
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,[],[f93]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3) ),
inference(cnf_transformation,[],[f93]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X7] :
( incident_c(X7,sK16(X0,X1,X2,X3))
| ~ incident_o(X7,X3)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X7] :
( ~ incident_c(X7,sK16(X0,X1,X2,X3))
| incident_o(X7,X3)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f173,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,[],[f98]) ).
fof(f174,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,[],[f98]) ).
fof(f175,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f99]) ).
fof(f179,plain,
! [X0,X1] :
( ordered_by(X1,sK19(X0,X1),sK20(X0,X1))
| ordered_by(X0,sK19(X0,X1),sK20(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f180,plain,
! [X0,X1] :
( ~ ordered_by(X1,sK19(X0,X1),sK20(X0,X1))
| X0 = X1
| ~ ordered_by(X0,sK19(X0,X1),sK20(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f185,plain,
ordered_by(sK23,sK24,sK25),
inference(cnf_transformation,[],[f108]) ).
fof(f186,plain,
ordered_by(sK22,sK24,sK25),
inference(cnf_transformation,[],[f108]) ).
fof(f187,plain,
! [X2] :
( ~ incident_o(X2,sK22)
| incident_o(X2,sK23) ),
inference(cnf_transformation,[],[f108]) ).
fof(f188,plain,
! [X2] :
( ~ incident_o(X2,sK23)
| incident_o(X2,sK22) ),
inference(cnf_transformation,[],[f108]) ).
fof(f189,plain,
sK22 != sK23,
inference(cnf_transformation,[],[f108]) ).
fof(f194,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f155]) ).
fof(f197,plain,
incident_o(sK24,sK22),
inference(resolution,[],[f166,f186]) ).
fof(f198,plain,
incident_o(sK24,sK23),
inference(resolution,[],[f166,f185]) ).
fof(f205,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f194,f170]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f205,f161]) ).
fof(f208,plain,
~ ordered_by(sK22,sK25,sK24),
inference(resolution,[],[f207,f186]) ).
fof(f209,plain,
~ ordered_by(sK23,sK25,sK24),
inference(resolution,[],[f207,f185]) ).
fof(f210,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ incident_o(X1,X2)
| ~ start_point(X0,X2)
| ~ ordered_by(X2,X1,X0) ),
inference(resolution,[],[f163,f207]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ ordered_by(X2,X1,X0)
| ~ start_point(X0,X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f210,f166]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( incident_c(sK15(X0,sK16(X1,X2,X3,X4)),sK16(X1,X2,X3,X4))
| incident_o(sK15(X0,sK16(X1,X2,X3,X4)),X0)
| between_o(X0,X1,X2,X3)
| ~ between_o(X4,X1,X2,X3) ),
inference(resolution,[],[f173,f170]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ end_point(X2,sK13(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[],[f151,f126]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4] :
( incident_o(sK15(X0,sK16(X1,X2,X3,X4)),X4)
| ~ between_o(X4,X1,X2,X3)
| incident_o(sK15(X0,sK16(X1,X2,X3,X4)),X0)
| between_o(X0,X1,X2,X3)
| ~ between_o(X4,X1,X2,X3) ),
inference(resolution,[],[f172,f254]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4] :
( incident_o(sK15(X0,sK16(X1,X2,X3,X4)),X4)
| incident_o(sK15(X0,sK16(X1,X2,X3,X4)),X0)
| ~ between_o(X4,X1,X2,X3)
| between_o(X0,X1,X2,X3) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( incident_o(sK15(X0,sK16(X1,X2,X3,sK22)),sK23)
| incident_o(sK15(X0,sK16(X1,X2,X3,sK22)),X0)
| between_o(X0,X1,X2,X3)
| ~ between_o(sK22,X1,X2,X3) ),
inference(resolution,[],[f330,f187]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( incident_o(sK15(X0,sK16(X1,X2,X3,sK23)),sK22)
| incident_o(sK15(X0,sK16(X1,X2,X3,sK23)),X0)
| between_o(X0,X1,X2,X3)
| ~ between_o(sK23,X1,X2,X3) ),
inference(resolution,[],[f330,f188]) ).
fof(f339,plain,
! [X2,X0,X1] :
( incident_o(sK15(sK23,sK16(X0,X1,X2,sK22)),sK23)
| between_o(sK23,X0,X1,X2)
| ~ between_o(sK22,X0,X1,X2) ),
inference(factoring,[],[f333]) ).
fof(f342,plain,
! [X2,X0,X1] :
( incident_o(sK15(sK22,sK16(X0,X1,X2,sK23)),sK22)
| between_o(sK22,X0,X1,X2)
| ~ between_o(sK23,X0,X1,X2) ),
inference(factoring,[],[f334]) ).
fof(f344,plain,
! [X2,X0,X1] :
( incident_o(sK15(sK22,sK16(X0,X1,X2,sK23)),sK23)
| ~ between_o(sK23,X0,X1,X2)
| between_o(sK22,X0,X1,X2) ),
inference(resolution,[],[f342,f187]) ).
fof(f345,plain,
! [X2,X0,X1] :
( incident_o(sK15(sK23,sK16(X0,X1,X2,sK22)),sK22)
| ~ between_o(sK22,X0,X1,X2)
| between_o(sK23,X0,X1,X2) ),
inference(resolution,[],[f339,f188]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ incident_c(sK15(sK22,sK16(X0,X1,X2,sK23)),sK16(X0,X1,X2,sK23))
| between_o(sK22,X3,X4,X5)
| ~ between_c(sK16(X0,X1,X2,sK23),X3,X4,X5)
| between_o(sK22,X0,X1,X2)
| ~ between_o(sK23,X0,X1,X2) ),
inference(resolution,[],[f174,f342]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ incident_c(sK15(sK23,sK16(X0,X1,X2,sK22)),sK16(X0,X1,X2,sK22))
| between_o(sK23,X3,X4,X5)
| ~ between_c(sK16(X0,X1,X2,sK22),X3,X4,X5)
| between_o(sK23,X0,X1,X2)
| ~ between_o(sK22,X0,X1,X2) ),
inference(resolution,[],[f174,f339]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sK22,X0,X1,X2)
| ~ between_c(sK16(X3,X4,X5,sK23),X0,X1,X2)
| between_o(sK22,X3,X4,X5)
| ~ between_o(sK23,X3,X4,X5)
| ~ incident_o(sK15(sK22,sK16(X3,X4,X5,sK23)),sK23)
| ~ between_o(sK23,X3,X4,X5) ),
inference(resolution,[],[f451,f171]) ).
fof(f459,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sK22,X0,X1,X2)
| ~ between_c(sK16(X3,X4,X5,sK23),X0,X1,X2)
| between_o(sK22,X3,X4,X5)
| ~ between_o(sK23,X3,X4,X5)
| ~ incident_o(sK15(sK22,sK16(X3,X4,X5,sK23)),sK23) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_c(sK16(X3,X4,X5,sK23),X0,X1,X2)
| between_o(sK22,X0,X1,X2)
| between_o(sK22,X3,X4,X5)
| ~ between_o(sK23,X3,X4,X5) ),
inference(forward_subsumption_resolution,[],[f459,f344]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sK23,X0,X1,X2)
| ~ between_c(sK16(X3,X4,X5,sK22),X0,X1,X2)
| between_o(sK23,X3,X4,X5)
| ~ between_o(sK22,X3,X4,X5)
| ~ incident_o(sK15(sK23,sK16(X3,X4,X5,sK22)),sK22)
| ~ between_o(sK22,X3,X4,X5) ),
inference(resolution,[],[f452,f171]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sK23,X0,X1,X2)
| ~ between_c(sK16(X3,X4,X5,sK22),X0,X1,X2)
| between_o(sK23,X3,X4,X5)
| ~ between_o(sK22,X3,X4,X5)
| ~ incident_o(sK15(sK23,sK16(X3,X4,X5,sK22)),sK22) ),
inference(duplicate_literal_removal,[],[f467]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_c(sK16(X3,X4,X5,sK22),X0,X1,X2)
| between_o(sK23,X0,X1,X2)
| between_o(sK23,X3,X4,X5)
| ~ between_o(sK22,X3,X4,X5) ),
inference(forward_subsumption_resolution,[],[f468,f345]) ).
fof(f473,plain,
! [X2,X0,X1] :
( between_o(sK22,X0,X1,X2)
| between_o(sK22,X0,X1,X2)
| ~ between_o(sK23,X0,X1,X2)
| ~ between_o(sK23,X0,X1,X2) ),
inference(resolution,[],[f463,f170]) ).
fof(f477,plain,
! [X2,X0,X1] :
( ~ between_o(sK23,X0,X1,X2)
| between_o(sK22,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f478,plain,
! [X2,X0,X1] :
( between_o(sK22,X0,X1,X2)
| ~ ordered_by(sK23,X0,X1)
| ~ ordered_by(sK23,X1,X2) ),
inference(resolution,[],[f477,f162]) ).
fof(f479,plain,
! [X2,X0,X1] :
( between_o(sK22,X0,X1,X2)
| ~ ordered_by(sK23,X2,X1)
| ~ ordered_by(sK23,X1,X0) ),
inference(resolution,[],[f477,f161]) ).
fof(f484,plain,
! [X2,X0,X1] :
( between_o(sK23,X0,X1,X2)
| between_o(sK23,X0,X1,X2)
| ~ between_o(sK22,X0,X1,X2)
| ~ between_o(sK22,X0,X1,X2) ),
inference(resolution,[],[f472,f170]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ between_o(sK22,X0,X1,X2)
| between_o(sK23,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f484]) ).
fof(f492,plain,
! [X2,X0,X1] :
( between_o(sK23,X0,X1,X2)
| ~ ordered_by(sK22,X2,X1)
| ~ ordered_by(sK22,X1,X0) ),
inference(resolution,[],[f488,f161]) ).
fof(f540,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK23,X2,X0)
| ordered_by(sK22,X0,X2)
| ordered_by(sK22,X0,X1)
| ~ ordered_by(sK23,X0,X1) ),
inference(resolution,[],[f157,f479]) ).
fof(f542,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK22,X2,X0)
| ordered_by(sK23,X0,X2)
| ordered_by(sK23,X0,X1)
| ~ ordered_by(sK22,X0,X1) ),
inference(resolution,[],[f157,f492]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK23,X1,X2)
| ordered_by(sK22,X2,X1)
| ~ ordered_by(sK23,X0,X1)
| ordered_by(sK22,X0,X1) ),
inference(resolution,[],[f160,f479]) ).
fof(f548,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK22,X1,X2)
| ordered_by(sK23,X2,X1)
| ~ ordered_by(sK22,X0,X1)
| ordered_by(sK23,X0,X1) ),
inference(resolution,[],[f160,f492]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ between_c(X0,X1,X1,X2)
| ~ between_c(X0,X1,X1,X2) ),
inference(resolution,[],[f267,f153]) ).
fof(f551,plain,
! [X2,X0,X1] : ~ between_c(X0,X1,X1,X2),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f553,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X1,X2),
inference(resolution,[],[f551,f170]) ).
fof(f565,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X1,X1) ),
inference(resolution,[],[f553,f162]) ).
fof(f567,plain,
! [X0,X1] :
( ~ ordered_by(sK23,X0,X1)
| ~ ordered_by(sK23,X0,X0) ),
inference(resolution,[],[f553,f478]) ).
fof(f589,plain,
~ ordered_by(sK23,sK24,sK24),
inference(resolution,[],[f565,f185]) ).
fof(f731,plain,
! [X2,X0,X1] :
( ordered_by(sK22,X0,X1)
| ordered_by(sK22,X0,X2)
| ~ ordered_by(sK23,X0,X2)
| X0 = X1
| ~ incident_o(X0,sK23)
| ~ start_point(X1,sK23) ),
inference(resolution,[],[f540,f163]) ).
fof(f736,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK23,X0,X2)
| ordered_by(sK22,X0,X2)
| ordered_by(sK22,X0,X1)
| X0 = X1
| ~ start_point(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f731,f166]) ).
fof(f739,plain,
! [X0,X1] :
( ordered_by(sK22,sK19(X0,sK23),sK20(X0,sK23))
| ordered_by(X0,sK19(X0,sK23),sK20(X0,sK23))
| ordered_by(sK22,sK19(X0,sK23),X1)
| ~ start_point(X1,sK23)
| sK19(X0,sK23) = X1
| sK23 = X0 ),
inference(resolution,[],[f736,f179]) ).
fof(f762,plain,
! [X0] :
( ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| ordered_by(sK22,sK19(sK22,sK23),X0)
| ~ start_point(X0,sK23)
| sK19(sK22,sK23) = X0
| sK22 = sK23 ),
inference(factoring,[],[f739]) ).
fof(f768,plain,
! [X0] :
( ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| ordered_by(sK22,sK19(sK22,sK23),X0)
| ~ start_point(X0,sK23)
| sK19(sK22,sK23) = X0 ),
inference(forward_subsumption_resolution,[],[f762,f189]) ).
fof(f776,definition,
( spl26_4
<=> ! [X0] :
( ordered_by(sK22,sK19(sK22,sK23),X0)
| sK19(sK22,sK23) = X0
| ~ start_point(X0,sK23) ) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f777,plain,
( ! [X0] :
( ordered_by(sK22,sK19(sK22,sK23),X0)
| sK19(sK22,sK23) = X0
| ~ start_point(X0,sK23) )
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f779,definition,
( spl26_5
<=> ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f780,plain,
( ~ ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| spl26_5 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f781,plain,
( ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( spl26_4
| spl26_5 ),
inference(avatar_split_clause,[],[f768,f779,f776]) ).
fof(f788,plain,
( ! [X0] :
( sK19(sK22,sK23) = X0
| ~ start_point(X0,sK23)
| ~ start_point(X0,sK22)
| sK19(sK22,sK23) = X0 )
| ~ spl26_4 ),
inference(resolution,[],[f777,f213]) ).
fof(f796,plain,
( ! [X0] :
( ~ start_point(X0,sK23)
| sK19(sK22,sK23) = X0
| ~ start_point(X0,sK22) )
| ~ spl26_4 ),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f806,definition,
( spl26_8
<=> ordered_by(sK22,sK19(sK22,sK23),sK19(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f808,plain,
( ~ ordered_by(sK22,sK19(sK22,sK23),sK19(sK22,sK23))
| spl26_8 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f812,plain,
( ~ ordered_by(sK22,sK19(sK22,sK23),sK19(sK22,sK23))
| ~ spl26_5 ),
inference(resolution,[],[f781,f565]) ).
fof(f813,plain,
( ~ start_point(sK20(sK22,sK23),sK22)
| sK19(sK22,sK23) = sK20(sK22,sK23)
| ~ spl26_5 ),
inference(resolution,[],[f781,f213]) ).
fof(f819,definition,
( spl26_9
<=> sK19(sK22,sK23) = sK20(sK22,sK23) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f820,plain,
( sK19(sK22,sK23) != sK20(sK22,sK23)
| spl26_9 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( sK19(sK22,sK23) = sK20(sK22,sK23)
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f823,definition,
( spl26_10
<=> start_point(sK20(sK22,sK23),sK22) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f825,plain,
( ~ start_point(sK20(sK22,sK23),sK22)
| spl26_10 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f826,plain,
( spl26_9
| ~ spl26_10
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f813,f779,f823,f819]) ).
fof(f827,plain,
( ~ spl26_8
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f812,f779,f806]) ).
fof(f831,plain,
( sK19(sK22,sK23) = sK20(sK22,sK23)
| ~ incident_o(sK20(sK22,sK23),sK22)
| ~ start_point(sK19(sK22,sK23),sK22)
| spl26_5 ),
inference(resolution,[],[f780,f163]) ).
fof(f833,definition,
( spl26_11
<=> start_point(sK19(sK22,sK23),sK22) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
fof(f835,plain,
( ~ start_point(sK19(sK22,sK23),sK22)
| spl26_11 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f837,definition,
( spl26_12
<=> incident_o(sK20(sK22,sK23),sK22) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f838,plain,
( incident_o(sK20(sK22,sK23),sK22)
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f839,plain,
( ~ incident_o(sK20(sK22,sK23),sK22)
| spl26_12 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f840,plain,
( ~ spl26_11
| ~ spl26_12
| spl26_9
| spl26_5 ),
inference(avatar_split_clause,[],[f831,f779,f819,f837,f833]) ).
fof(f868,plain,
( sK17(sK23) = sK19(sK22,sK23)
| ~ start_point(sK17(sK23),sK22)
| ~ spl26_4 ),
inference(resolution,[],[f796,f175]) ).
fof(f870,definition,
( spl26_14
<=> start_point(sK17(sK23),sK22) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f871,plain,
( start_point(sK17(sK23),sK22)
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f872,plain,
( ~ start_point(sK17(sK23),sK22)
| spl26_14 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f874,definition,
( spl26_15
<=> sK17(sK23) = sK19(sK22,sK23) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f875,plain,
( sK17(sK23) != sK19(sK22,sK23)
| spl26_15 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f876,plain,
( sK17(sK23) = sK19(sK22,sK23)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f877,plain,
( ~ spl26_14
| spl26_15
| ~ spl26_4 ),
inference(avatar_split_clause,[],[f868,f776,f874,f870]) ).
fof(f992,plain,
! [X0] :
( ordered_by(sK22,sK25,sK24)
| ~ ordered_by(sK23,X0,sK24)
| ordered_by(sK22,X0,sK24) ),
inference(resolution,[],[f546,f185]) ).
fof(f993,plain,
! [X0] :
( ~ ordered_by(sK23,X0,sK24)
| ordered_by(sK22,X0,sK24) ),
inference(forward_subsumption_resolution,[],[f992,f208]) ).
fof(f994,plain,
! [X0] :
( ordered_by(sK22,X0,sK24)
| sK24 = X0
| ~ incident_o(sK24,sK23)
| ~ start_point(X0,sK23) ),
inference(resolution,[],[f993,f163]) ).
fof(f995,plain,
! [X0] :
( ordered_by(sK22,X0,sK24)
| sK24 = X0
| ~ start_point(X0,sK23) ),
inference(forward_subsumption_resolution,[],[f994,f198]) ).
fof(f1003,plain,
! [X0] :
( sK24 = X0
| ~ start_point(X0,sK23)
| ~ start_point(sK24,sK22)
| sK24 = X0 ),
inference(resolution,[],[f995,f213]) ).
fof(f1011,plain,
! [X0] :
( sK24 = X0
| ~ start_point(X0,sK23)
| ~ start_point(sK24,sK22) ),
inference(duplicate_literal_removal,[],[f1003]) ).
fof(f1013,definition,
( spl26_20
<=> start_point(sK24,sK22) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f1014,plain,
( start_point(sK24,sK22)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1015,plain,
( ~ start_point(sK24,sK22)
| spl26_20 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1017,definition,
( spl26_21
<=> ! [X0] :
( sK24 = X0
| ~ start_point(X0,sK23) ) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
fof(f1018,plain,
( ! [X0] :
( ~ start_point(X0,sK23)
| sK24 = X0 )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1019,plain,
( ~ spl26_20
| spl26_21 ),
inference(avatar_split_clause,[],[f1011,f1017,f1013]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( ordered_by(sK23,X0,X1)
| ordered_by(sK23,X0,X2)
| ~ ordered_by(sK22,X0,X2)
| X0 = X1
| ~ incident_o(X0,sK22)
| ~ start_point(X1,sK22) ),
inference(resolution,[],[f542,f163]) ).
fof(f1150,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK22,X0,X2)
| ordered_by(sK23,X0,X2)
| ordered_by(sK23,X0,X1)
| X0 = X1
| ~ start_point(X1,sK22) ),
inference(forward_subsumption_resolution,[],[f1125,f166]) ).
fof(f1184,plain,
! [X0,X1] :
( ordered_by(sK23,sK19(sK22,X0),sK20(sK22,X0))
| ordered_by(X0,sK19(sK22,X0),sK20(sK22,X0))
| ordered_by(sK23,sK19(sK22,X0),X1)
| ~ start_point(X1,sK22)
| sK19(sK22,X0) = X1
| sK22 = X0 ),
inference(resolution,[],[f1150,f179]) ).
fof(f1204,definition,
( spl26_30
<=> ! [X1] :
( ordered_by(sK23,sK19(sK22,sK23),X1)
| ~ start_point(X1,sK22)
| sK19(sK22,sK23) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl26_30])],[avatar_definition]) ).
fof(f1205,plain,
( ! [X1] :
( ordered_by(sK23,sK19(sK22,sK23),X1)
| ~ start_point(X1,sK22)
| sK19(sK22,sK23) = X1 )
| ~ spl26_30 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1215,plain,
( ~ start_point(sK24,sK22)
| sK24 = sK19(sK22,sK23)
| ordered_by(sK22,sK19(sK22,sK23),sK24)
| ~ spl26_30 ),
inference(resolution,[],[f1205,f993]) ).
fof(f1432,definition,
( spl26_39
<=> ordered_by(sK23,sK17(sK22),sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_39])],[avatar_definition]) ).
fof(f1433,plain,
( ~ ordered_by(sK23,sK17(sK22),sK20(sK22,sK23))
| spl26_39 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1434,plain,
( ordered_by(sK23,sK17(sK22),sK20(sK22,sK23))
| ~ spl26_39 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1615,definition,
( spl26_43
<=> ordered_by(sK23,sK17(sK23),sK19(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_43])],[avatar_definition]) ).
fof(f1616,plain,
( ~ ordered_by(sK23,sK17(sK23),sK19(sK22,sK23))
| spl26_43 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1617,plain,
( ordered_by(sK23,sK17(sK23),sK19(sK22,sK23))
| ~ spl26_43 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1632,plain,
( ~ ordered_by(sK23,sK17(sK23),sK17(sK23))
| ~ spl26_43 ),
inference(resolution,[],[f1617,f567]) ).
fof(f1675,plain,
( ~ ordered_by(sK22,sK17(sK23),sK20(sK22,sK23))
| spl26_5
| ~ spl26_15 ),
inference(superposition,[],[f780,f876]) ).
fof(f1678,plain,
( ~ ordered_by(sK22,sK17(sK23),sK17(sK23))
| spl26_8
| ~ spl26_15 ),
inference(superposition,[],[f808,f876]) ).
fof(f1680,plain,
( ~ start_point(sK17(sK23),sK22)
| spl26_11
| ~ spl26_15 ),
inference(superposition,[],[f835,f876]) ).
fof(f1685,plain,
( ~ ordered_by(sK23,sK17(sK23),sK17(sK23))
| ~ spl26_15
| spl26_43 ),
inference(superposition,[],[f1616,f876]) ).
fof(f1694,plain,
( ordered_by(sK23,sK17(sK23),sK20(sK22,sK23))
| ordered_by(sK22,sK17(sK23),sK20(sK22,sK23))
| sK22 = sK23
| ~ spl26_15 ),
inference(superposition,[],[f179,f876]) ).
fof(f1700,plain,
( ordered_by(sK23,sK17(sK23),sK20(sK22,sK23))
| ordered_by(sK22,sK17(sK23),sK20(sK22,sK23))
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1694,f189]) ).
fof(f1704,plain,
( ordered_by(sK23,sK17(sK23),sK20(sK22,sK23))
| spl26_5
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1700,f1675]) ).
fof(f1708,definition,
( spl26_50
<=> ordered_by(sK23,sK17(sK23),sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_50])],[avatar_definition]) ).
fof(f1710,plain,
( ordered_by(sK23,sK17(sK23),sK20(sK22,sK23))
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1716,plain,
( spl26_50
| spl26_5
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f1704,f874,f779,f1708]) ).
fof(f1725,plain,
( incident_o(sK20(sK22,sK23),sK23)
| ~ spl26_50 ),
inference(resolution,[],[f1710,f165]) ).
fof(f1731,plain,
( incident_o(sK20(sK22,sK23),sK22)
| ~ spl26_50 ),
inference(resolution,[],[f1725,f188]) ).
fof(f1732,plain,
( spl26_12
| ~ spl26_50 ),
inference(avatar_split_clause,[],[f1731,f1708,f837]) ).
fof(f1733,plain,
( incident_o(sK20(sK22,sK23),sK23)
| ~ spl26_12 ),
inference(resolution,[],[f838,f187]) ).
fof(f1796,definition,
( spl26_58
<=> sK17(sK23) = sK20(sK22,sK23) ),
introduced(definition,[new_symbols(definition,[spl26_58])],[avatar_definition]) ).
fof(f1798,plain,
( sK17(sK23) = sK20(sK22,sK23)
| ~ spl26_58 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1902,plain,
! [X0] :
( ordered_by(sK23,sK19(sK22,sK23),sK20(sK22,sK23))
| ordered_by(sK23,sK19(sK22,sK23),X0)
| ~ start_point(X0,sK22)
| sK19(sK22,sK23) = X0
| sK22 = sK23 ),
inference(factoring,[],[f1184]) ).
fof(f2039,plain,
! [X0] :
( ordered_by(sK23,sK25,sK24)
| ~ ordered_by(sK22,X0,sK24)
| ordered_by(sK23,X0,sK24) ),
inference(resolution,[],[f548,f186]) ).
fof(f2040,plain,
! [X0] :
( ~ ordered_by(sK22,X0,sK24)
| ordered_by(sK23,X0,sK24) ),
inference(forward_subsumption_resolution,[],[f2039,f209]) ).
fof(f2056,plain,
! [X0] :
( ordered_by(sK23,X0,sK24)
| sK24 = X0
| ~ incident_o(sK24,sK22)
| ~ start_point(X0,sK22) ),
inference(resolution,[],[f2040,f163]) ).
fof(f2060,plain,
! [X0] :
( ordered_by(sK23,X0,sK24)
| sK24 = X0
| ~ start_point(X0,sK22) ),
inference(forward_subsumption_resolution,[],[f2056,f197]) ).
fof(f2067,plain,
! [X0,X1] :
( sK24 = X0
| ~ start_point(X0,sK22)
| ordered_by(sK22,sK24,X0)
| ~ ordered_by(sK23,X1,X0)
| ordered_by(sK22,X1,X0) ),
inference(resolution,[],[f2060,f546]) ).
fof(f2080,plain,
! [X0] :
( ~ start_point(X0,sK22)
| sK24 = X0
| incident_o(X0,sK23) ),
inference(resolution,[],[f2060,f166]) ).
fof(f2087,definition,
( spl26_59
<=> start_point(sK24,sK23) ),
introduced(definition,[new_symbols(definition,[spl26_59])],[avatar_definition]) ).
fof(f2088,plain,
( start_point(sK24,sK23)
| ~ spl26_59 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2089,plain,
( ~ start_point(sK24,sK23)
| spl26_59 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2095,plain,
! [X0,X1] :
( ~ ordered_by(sK23,X1,X0)
| ~ start_point(X0,sK22)
| sK24 = X0
| ordered_by(sK22,X1,X0) ),
inference(forward_subsumption_resolution,[],[f2067,f213]) ).
fof(f2244,plain,
! [X0,X1] :
( ~ start_point(X0,sK22)
| sK24 = X0
| ordered_by(sK22,X1,X0)
| X0 = X1
| ~ incident_o(X0,sK23)
| ~ start_point(X1,sK23) ),
inference(resolution,[],[f2095,f163]) ).
fof(f2264,plain,
( ! [X0] :
( ~ start_point(X0,sK22)
| sK24 = X0
| ordered_by(sK22,sK19(sK22,sK23),X0)
| ~ start_point(X0,sK22)
| sK19(sK22,sK23) = X0 )
| ~ spl26_30 ),
inference(resolution,[],[f2095,f1205]) ).
fof(f2268,plain,
( ! [X0] :
( ~ start_point(X0,sK22)
| sK24 = X0
| ordered_by(sK22,sK19(sK22,sK23),X0)
| sK19(sK22,sK23) = X0 )
| ~ spl26_30 ),
inference(duplicate_literal_removal,[],[f2264]) ).
fof(f2279,plain,
( ! [X0] :
( ~ start_point(X0,sK22)
| sK24 = X0
| sK19(sK22,sK23) = X0 )
| ~ spl26_30 ),
inference(forward_subsumption_resolution,[],[f2268,f213]) ).
fof(f2282,plain,
! [X0,X1] :
( ~ start_point(X0,sK22)
| sK24 = X0
| X0 = X1
| ~ incident_o(X0,sK23)
| ~ start_point(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f2244,f213]) ).
fof(f2286,plain,
! [X0,X1] :
( ~ start_point(X1,sK23)
| sK24 = X0
| X0 = X1
| ~ start_point(X0,sK22) ),
inference(forward_subsumption_resolution,[],[f2282,f2080]) ).
fof(f2287,plain,
! [X0] :
( ~ start_point(X0,sK22)
| sK17(sK23) = X0
| sK24 = X0 ),
inference(resolution,[],[f2286,f175]) ).
fof(f2290,definition,
( spl26_64
<=> sK24 = sK17(sK22) ),
introduced(definition,[new_symbols(definition,[spl26_64])],[avatar_definition]) ).
fof(f2291,plain,
( sK24 != sK17(sK22)
| spl26_64 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2292,plain,
( sK24 = sK17(sK22)
| ~ spl26_64 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2294,definition,
( spl26_65
<=> sK17(sK22) = sK17(sK23) ),
introduced(definition,[new_symbols(definition,[spl26_65])],[avatar_definition]) ).
fof(f2295,plain,
( sK17(sK22) != sK17(sK23)
| spl26_65 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f2296,plain,
( sK17(sK22) = sK17(sK23)
| ~ spl26_65 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f2300,plain,
( start_point(sK24,sK22)
| ~ spl26_64 ),
inference(superposition,[],[f175,f2292]) ).
fof(f2301,plain,
( $false
| spl26_20
| ~ spl26_64 ),
inference(forward_subsumption_resolution,[],[f2300,f1015]) ).
fof(f2302,plain,
( spl26_20
| ~ spl26_64 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2304,plain,
( ~ start_point(sK17(sK22),sK22)
| spl26_14
| ~ spl26_65 ),
inference(superposition,[],[f872,f2296]) ).
fof(f2314,plain,
( start_point(sK17(sK22),sK23)
| ~ spl26_65 ),
inference(superposition,[],[f175,f2296]) ).
fof(f2318,plain,
( $false
| spl26_14
| ~ spl26_65 ),
inference(forward_subsumption_resolution,[],[f2304,f175]) ).
fof(f2319,plain,
( spl26_14
| ~ spl26_65 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2328,plain,
( $false
| spl26_11
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1680,f871]) ).
fof(f2329,plain,
( spl26_11
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f2328]) ).
fof(f2412,plain,
( sK17(sK23) = sK20(sK22,sK23)
| ~ spl26_9
| ~ spl26_15 ),
inference(forward_demodulation,[],[f821,f876]) ).
fof(f2420,plain,
( spl26_58
| ~ spl26_9
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2412,f874,f819,f1796]) ).
fof(f2569,definition,
( spl26_83
<=> start_point(sK17(sK22),sK23) ),
introduced(definition,[new_symbols(definition,[spl26_83])],[avatar_definition]) ).
fof(f2570,plain,
( start_point(sK17(sK22),sK23)
| ~ spl26_83 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2571,plain,
( ~ start_point(sK17(sK22),sK23)
| spl26_83 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2579,plain,
( ordered_by(sK23,sK17(sK23),sK17(sK23))
| ~ spl26_50
| ~ spl26_58 ),
inference(superposition,[],[f1710,f1798]) ).
fof(f2600,plain,
( ordered_by(sK22,sK19(sK22,sK23),sK17(sK23))
| ordered_by(sK23,sK19(sK22,sK23),sK17(sK23))
| sK22 = sK23
| ~ spl26_58 ),
inference(superposition,[],[f179,f1798]) ).
fof(f2610,plain,
( ordered_by(sK22,sK19(sK22,sK23),sK17(sK23))
| ordered_by(sK23,sK19(sK22,sK23),sK17(sK23))
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2600,f189]) ).
fof(f2618,plain,
( $false
| ~ spl26_15
| spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2579,f1685]) ).
fof(f2619,plain,
( ~ spl26_15
| spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(avatar_contradiction_clause,[],[f2618]) ).
fof(f2624,plain,
( ordered_by(sK22,sK17(sK23),sK17(sK23))
| ordered_by(sK23,sK19(sK22,sK23),sK17(sK23))
| ~ spl26_15
| ~ spl26_58 ),
inference(forward_demodulation,[],[f2610,f876]) ).
fof(f2630,plain,
( ordered_by(sK23,sK19(sK22,sK23),sK17(sK23))
| spl26_8
| ~ spl26_15
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2624,f1678]) ).
fof(f2635,plain,
( ordered_by(sK23,sK17(sK23),sK17(sK23))
| spl26_8
| ~ spl26_15
| ~ spl26_58 ),
inference(forward_demodulation,[],[f2630,f876]) ).
fof(f2641,plain,
( $false
| spl26_8
| ~ spl26_15
| spl26_43
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2635,f1685]) ).
fof(f2642,plain,
( spl26_8
| ~ spl26_15
| spl26_43
| ~ spl26_58 ),
inference(avatar_contradiction_clause,[],[f2641]) ).
fof(f2659,definition,
( spl26_85
<=> ordered_by(sK22,sK17(sK22),sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_85])],[avatar_definition]) ).
fof(f2660,plain,
( ~ ordered_by(sK22,sK17(sK22),sK20(sK22,sK23))
| spl26_85 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f2661,plain,
( ordered_by(sK22,sK17(sK22),sK20(sK22,sK23))
| ~ spl26_85 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f2821,plain,
( sK24 = sK17(sK22)
| sK17(sK22) = sK19(sK22,sK23)
| ~ spl26_30 ),
inference(resolution,[],[f2279,f175]) ).
fof(f2822,plain,
( sK17(sK22) = sK19(sK22,sK23)
| ~ spl26_30
| spl26_64 ),
inference(forward_subsumption_resolution,[],[f2821,f2291]) ).
fof(f2931,plain,
( sK24 = sK19(sK22,sK23)
| ordered_by(sK22,sK19(sK22,sK23),sK24)
| ~ spl26_20
| ~ spl26_30 ),
inference(forward_subsumption_resolution,[],[f1215,f1014]) ).
fof(f2934,definition,
( spl26_90
<=> ordered_by(sK22,sK19(sK22,sK23),sK24) ),
introduced(definition,[new_symbols(definition,[spl26_90])],[avatar_definition]) ).
fof(f2935,plain,
( ~ ordered_by(sK22,sK19(sK22,sK23),sK24)
| spl26_90 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2936,plain,
( ordered_by(sK22,sK19(sK22,sK23),sK24)
| ~ spl26_90 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2938,definition,
( spl26_91
<=> sK24 = sK19(sK22,sK23) ),
introduced(definition,[new_symbols(definition,[spl26_91])],[avatar_definition]) ).
fof(f2940,plain,
( sK24 = sK19(sK22,sK23)
| ~ spl26_91 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f2941,plain,
( spl26_90
| spl26_91
| ~ spl26_20
| ~ spl26_30 ),
inference(avatar_split_clause,[],[f2931,f1204,f1013,f2938,f2934]) ).
fof(f2943,plain,
( sK24 = sK17(sK23)
| ~ spl26_21 ),
inference(resolution,[],[f1018,f175]) ).
fof(f2952,plain,
( ~ start_point(sK24,sK22)
| sK24 = sK19(sK22,sK23)
| ~ spl26_90 ),
inference(resolution,[],[f2936,f213]) ).
fof(f2956,plain,
( sK24 = sK19(sK22,sK23)
| ~ spl26_20
| ~ spl26_90 ),
inference(forward_subsumption_resolution,[],[f2952,f1014]) ).
fof(f2963,plain,
( spl26_91
| ~ spl26_20
| ~ spl26_90 ),
inference(avatar_split_clause,[],[f2956,f2934,f1013,f2938]) ).
fof(f3033,definition,
( spl26_93
<=> ordered_by(sK23,sK24,sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_93])],[avatar_definition]) ).
fof(f3034,plain,
( ~ ordered_by(sK23,sK24,sK20(sK22,sK23))
| spl26_93 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f3035,plain,
( ordered_by(sK23,sK24,sK20(sK22,sK23))
| ~ spl26_93 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f3049,plain,
! [X0] :
( ordered_by(sK23,sK19(sK22,sK23),sK20(sK22,sK23))
| ordered_by(sK23,sK19(sK22,sK23),X0)
| ~ start_point(X0,sK22)
| sK19(sK22,sK23) = X0 ),
inference(forward_subsumption_resolution,[],[f1902,f189]) ).
fof(f3051,definition,
( spl26_95
<=> ordered_by(sK23,sK19(sK22,sK23),sK20(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl26_95])],[avatar_definition]) ).
fof(f3052,plain,
( ~ ordered_by(sK23,sK19(sK22,sK23),sK20(sK22,sK23))
| spl26_95 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f3053,plain,
( ordered_by(sK23,sK19(sK22,sK23),sK20(sK22,sK23))
| ~ spl26_95 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f3054,plain,
( spl26_30
| spl26_95 ),
inference(avatar_split_clause,[],[f3049,f3051,f1204]) ).
fof(f3096,plain,
( ordered_by(sK23,sK24,sK20(sK22,sK23))
| spl26_5
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1704,f2943]) ).
fof(f3108,plain,
( spl26_93
| spl26_5
| ~ spl26_15
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f3096,f1017,f874,f779,f3033]) ).
fof(f3120,plain,
( sK24 != sK19(sK22,sK23)
| spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f875,f2943]) ).
fof(f3135,plain,
( incident_o(sK20(sK22,sK23),sK22)
| ~ spl26_5 ),
inference(resolution,[],[f781,f165]) ).
fof(f3150,plain,
( start_point(sK24,sK23)
| ~ spl26_21 ),
inference(superposition,[],[f175,f2943]) ).
fof(f3151,plain,
( $false
| ~ spl26_21
| spl26_59 ),
inference(forward_subsumption_resolution,[],[f3150,f2089]) ).
fof(f3152,plain,
( ~ spl26_21
| spl26_59 ),
inference(avatar_contradiction_clause,[],[f3151]) ).
fof(f3163,plain,
( sK24 = sK20(sK22,sK23)
| ~ incident_o(sK20(sK22,sK23),sK23)
| ~ start_point(sK24,sK23)
| spl26_93 ),
inference(resolution,[],[f3034,f163]) ).
fof(f3164,plain,
( sK24 = sK20(sK22,sK23)
| ~ start_point(sK24,sK23)
| ~ spl26_12
| spl26_93 ),
inference(forward_subsumption_resolution,[],[f3163,f1733]) ).
fof(f3165,plain,
( sK24 = sK20(sK22,sK23)
| ~ spl26_12
| ~ spl26_59
| spl26_93 ),
inference(forward_subsumption_resolution,[],[f3164,f2088]) ).
fof(f3166,plain,
( ordered_by(sK22,sK19(sK22,sK23),sK24)
| ~ spl26_5
| ~ spl26_12
| ~ spl26_59
| spl26_93 ),
inference(superposition,[],[f781,f3165]) ).
fof(f3168,plain,
( ~ start_point(sK24,sK22)
| spl26_10
| ~ spl26_12
| ~ spl26_59
| spl26_93 ),
inference(superposition,[],[f825,f3165]) ).
fof(f3229,plain,
( $false
| spl26_10
| ~ spl26_12
| ~ spl26_20
| ~ spl26_59
| spl26_93 ),
inference(forward_subsumption_resolution,[],[f3168,f1014]) ).
fof(f3230,plain,
( spl26_10
| ~ spl26_12
| ~ spl26_20
| ~ spl26_59
| spl26_93 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3231,plain,
( $false
| ~ spl26_5
| ~ spl26_12
| ~ spl26_59
| spl26_90
| spl26_93 ),
inference(forward_subsumption_resolution,[],[f3166,f2935]) ).
fof(f3232,plain,
( ~ spl26_5
| ~ spl26_12
| ~ spl26_59
| spl26_90
| spl26_93 ),
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3565,plain,
( ordered_by(sK23,sK24,sK19(sK22,sK23))
| ~ spl26_21
| ~ spl26_43 ),
inference(superposition,[],[f1617,f2943]) ).
fof(f3680,plain,
( sK17(sK22) = sK17(sK23)
| sK24 = sK17(sK22) ),
inference(resolution,[],[f2287,f175]) ).
fof(f3682,plain,
( sK17(sK22) = sK20(sK22,sK23)
| ~ incident_o(sK20(sK22,sK23),sK22)
| ~ start_point(sK17(sK22),sK22)
| spl26_85 ),
inference(resolution,[],[f2660,f163]) ).
fof(f3686,plain,
( sK17(sK22) = sK20(sK22,sK23)
| ~ start_point(sK17(sK22),sK22)
| ~ spl26_12
| spl26_85 ),
inference(forward_subsumption_resolution,[],[f3682,f838]) ).
fof(f3687,plain,
( sK17(sK22) = sK20(sK22,sK23)
| ~ spl26_12
| spl26_85 ),
inference(forward_subsumption_resolution,[],[f3686,f175]) ).
fof(f3688,plain,
( sK24 = sK20(sK22,sK23)
| ~ spl26_12
| ~ spl26_64
| spl26_85 ),
inference(forward_demodulation,[],[f3687,f2292]) ).
fof(f3701,plain,
( ordered_by(sK23,sK24,sK24)
| ~ spl26_12
| ~ spl26_64
| spl26_85
| ~ spl26_93 ),
inference(superposition,[],[f3035,f3688]) ).
fof(f3755,plain,
( $false
| ~ spl26_12
| ~ spl26_64
| spl26_85
| ~ spl26_93 ),
inference(forward_subsumption_resolution,[],[f3701,f589]) ).
fof(f3756,plain,
( ~ spl26_12
| ~ spl26_64
| spl26_85
| ~ spl26_93 ),
inference(avatar_contradiction_clause,[],[f3755]) ).
fof(f3800,plain,
( ordered_by(sK22,sK24,sK20(sK22,sK23))
| ~ spl26_64
| ~ spl26_85 ),
inference(forward_demodulation,[],[f2661,f2292]) ).
fof(f3918,plain,
( ~ start_point(sK24,sK22)
| spl26_14
| ~ spl26_21 ),
inference(superposition,[],[f872,f2943]) ).
fof(f3919,plain,
( $false
| spl26_14
| ~ spl26_20
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f3918,f1014]) ).
fof(f3920,plain,
( spl26_14
| ~ spl26_20
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f3919]) ).
fof(f4750,plain,
( sK22 = sK23
| ~ ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| ~ spl26_95 ),
inference(resolution,[],[f180,f3053]) ).
fof(f4772,plain,
( ~ ordered_by(sK22,sK19(sK22,sK23),sK20(sK22,sK23))
| ~ spl26_95 ),
inference(forward_subsumption_resolution,[],[f4750,f189]) ).
fof(f4776,plain,
( $false
| ~ spl26_5
| ~ spl26_95 ),
inference(forward_subsumption_resolution,[],[f4772,f781]) ).
fof(f4777,plain,
( ~ spl26_5
| ~ spl26_95 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4788,plain,
( ~ ordered_by(sK22,sK24,sK20(sK22,sK23))
| spl26_5
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1675,f2943]) ).
fof(f4804,plain,
( $false
| spl26_8
| ~ spl26_15
| ~ spl26_43
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2635,f1632]) ).
fof(f4805,plain,
( spl26_8
| ~ spl26_15
| ~ spl26_43
| ~ spl26_58 ),
inference(avatar_contradiction_clause,[],[f4804]) ).
fof(f4812,plain,
( $false
| ~ spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(forward_subsumption_resolution,[],[f2579,f1632]) ).
fof(f4813,plain,
( ~ spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(avatar_contradiction_clause,[],[f4812]) ).
fof(f4838,plain,
( $false
| spl26_5
| ~ spl26_15
| ~ spl26_21
| ~ spl26_64
| ~ spl26_85 ),
inference(forward_subsumption_resolution,[],[f4788,f3800]) ).
fof(f4839,plain,
( spl26_5
| ~ spl26_15
| ~ spl26_21
| ~ spl26_64
| ~ spl26_85 ),
inference(avatar_contradiction_clause,[],[f4838]) ).
fof(f4916,plain,
( ~ ordered_by(sK23,sK24,sK20(sK22,sK23))
| ~ spl26_91
| spl26_95 ),
inference(forward_demodulation,[],[f3052,f2940]) ).
fof(f4919,plain,
( ordered_by(sK23,sK24,sK24)
| ~ spl26_21
| ~ spl26_43
| ~ spl26_91 ),
inference(forward_demodulation,[],[f3565,f2940]) ).
fof(f4944,plain,
( $false
| ~ spl26_91
| ~ spl26_93
| spl26_95 ),
inference(forward_subsumption_resolution,[],[f4916,f3035]) ).
fof(f4945,plain,
( ~ spl26_91
| ~ spl26_93
| spl26_95 ),
inference(avatar_contradiction_clause,[],[f4944]) ).
fof(f4947,plain,
( $false
| ~ spl26_21
| ~ spl26_43
| ~ spl26_91 ),
inference(forward_subsumption_resolution,[],[f4919,f589]) ).
fof(f4948,plain,
( ~ spl26_21
| ~ spl26_43
| ~ spl26_91 ),
inference(avatar_contradiction_clause,[],[f4947]) ).
fof(f5016,plain,
( $false
| ~ spl26_5
| spl26_12 ),
inference(forward_subsumption_resolution,[],[f3135,f839]) ).
fof(f5017,plain,
( ~ spl26_5
| spl26_12 ),
inference(avatar_contradiction_clause,[],[f5016]) ).
fof(f5027,plain,
( ~ spl26_91
| spl26_15
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f3120,f1017,f874,f2938]) ).
fof(f5045,plain,
( sK17(sK22) != sK20(sK22,sK23)
| spl26_9
| ~ spl26_30
| spl26_64 ),
inference(forward_demodulation,[],[f820,f2822]) ).
fof(f5051,plain,
( ~ ordered_by(sK23,sK17(sK22),sK20(sK22,sK23))
| ~ spl26_30
| spl26_64
| spl26_95 ),
inference(forward_demodulation,[],[f3052,f2822]) ).
fof(f5065,plain,
( sK17(sK22) = sK17(sK23)
| spl26_64 ),
inference(forward_subsumption_resolution,[],[f3680,f2291]) ).
fof(f5115,plain,
( $false
| ~ spl26_30
| ~ spl26_39
| spl26_64
| spl26_95 ),
inference(forward_subsumption_resolution,[],[f5051,f1434]) ).
fof(f5116,plain,
( ~ spl26_30
| ~ spl26_39
| spl26_64
| spl26_95 ),
inference(avatar_contradiction_clause,[],[f5115]) ).
fof(f5119,plain,
( sK24 = sK17(sK22)
| ~ spl26_21
| spl26_64 ),
inference(forward_demodulation,[],[f5065,f2943]) ).
fof(f5138,plain,
( $false
| ~ spl26_21
| spl26_64 ),
inference(forward_subsumption_resolution,[],[f5119,f2291]) ).
fof(f5139,plain,
( ~ spl26_21
| spl26_64 ),
inference(avatar_contradiction_clause,[],[f5138]) ).
fof(f5165,plain,
( sK17(sK22) != sK17(sK23)
| spl26_15
| ~ spl26_30
| spl26_64 ),
inference(forward_demodulation,[],[f875,f2822]) ).
fof(f5171,plain,
( $false
| spl26_64
| spl26_65 ),
inference(forward_subsumption_resolution,[],[f5065,f2295]) ).
fof(f5172,plain,
( spl26_64
| spl26_65 ),
inference(avatar_contradiction_clause,[],[f5171]) ).
fof(f5188,plain,
( $false
| spl26_15
| ~ spl26_30
| spl26_64
| ~ spl26_65 ),
inference(forward_subsumption_resolution,[],[f5165,f2296]) ).
fof(f5189,plain,
( spl26_15
| ~ spl26_30
| spl26_64
| ~ spl26_65 ),
inference(avatar_contradiction_clause,[],[f5188]) ).
fof(f5526,plain,
( $false
| ~ spl26_65
| spl26_83 ),
inference(forward_subsumption_resolution,[],[f2314,f2571]) ).
fof(f5527,plain,
( ~ spl26_65
| spl26_83 ),
inference(avatar_contradiction_clause,[],[f5526]) ).
fof(f5641,plain,
( sK17(sK22) = sK20(sK22,sK23)
| ~ incident_o(sK20(sK22,sK23),sK23)
| ~ start_point(sK17(sK22),sK23)
| spl26_39 ),
inference(resolution,[],[f1433,f163]) ).
fof(f5642,plain,
( ~ incident_o(sK20(sK22,sK23),sK23)
| ~ start_point(sK17(sK22),sK23)
| spl26_9
| ~ spl26_30
| spl26_39
| spl26_64 ),
inference(forward_subsumption_resolution,[],[f5641,f5045]) ).
fof(f5643,plain,
( ~ start_point(sK17(sK22),sK23)
| spl26_9
| ~ spl26_12
| ~ spl26_30
| spl26_39
| spl26_64 ),
inference(forward_subsumption_resolution,[],[f5642,f1733]) ).
fof(f5644,plain,
( $false
| spl26_9
| ~ spl26_12
| ~ spl26_30
| spl26_39
| spl26_64
| ~ spl26_83 ),
inference(forward_subsumption_resolution,[],[f5643,f2570]) ).
fof(f5645,plain,
( spl26_9
| ~ spl26_12
| ~ spl26_30
| spl26_39
| spl26_64
| ~ spl26_83 ),
inference(avatar_contradiction_clause,[],[f5644]) ).
cnf(s3,plain,
( spl26_4
| spl26_5 ),
inference(sat_conversion,[],[f782]) ).
cnf(s8,plain,
( ~ spl26_5
| spl26_9
| ~ spl26_10 ),
inference(sat_conversion,[],[f826]) ).
cnf(s9,plain,
( ~ spl26_5
| ~ spl26_8 ),
inference(sat_conversion,[],[f827]) ).
cnf(s12,plain,
( spl26_5
| spl26_9
| ~ spl26_11
| ~ spl26_12 ),
inference(sat_conversion,[],[f840]) ).
cnf(s14,plain,
( ~ spl26_4
| ~ spl26_14
| spl26_15 ),
inference(sat_conversion,[],[f877]) ).
cnf(s17,plain,
( ~ spl26_20
| spl26_21 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s42,plain,
( spl26_5
| ~ spl26_15
| spl26_50 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s45,plain,
( spl26_12
| ~ spl26_50 ),
inference(sat_conversion,[],[f1732]) ).
cnf(s56,plain,
( spl26_20
| ~ spl26_64 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s59,plain,
( spl26_14
| ~ spl26_65 ),
inference(sat_conversion,[],[f2319]) ).
cnf(s62,plain,
( spl26_11
| ~ spl26_14
| ~ spl26_15 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s84,plain,
( ~ spl26_9
| ~ spl26_15
| spl26_58 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s91,plain,
( ~ spl26_15
| spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(sat_conversion,[],[f2619]) ).
cnf(s94,plain,
( spl26_8
| ~ spl26_15
| spl26_43
| ~ spl26_58 ),
inference(sat_conversion,[],[f2642]) ).
cnf(s112,plain,
( ~ spl26_20
| ~ spl26_30
| spl26_90
| spl26_91 ),
inference(sat_conversion,[],[f2941]) ).
cnf(s114,plain,
( ~ spl26_20
| ~ spl26_90
| spl26_91 ),
inference(sat_conversion,[],[f2963]) ).
cnf(s124,plain,
( spl26_30
| spl26_95 ),
inference(sat_conversion,[],[f3054]) ).
cnf(s129,plain,
( spl26_5
| ~ spl26_15
| ~ spl26_21
| spl26_93 ),
inference(sat_conversion,[],[f3108]) ).
cnf(s139,plain,
( ~ spl26_21
| spl26_59 ),
inference(sat_conversion,[],[f3152]) ).
cnf(s143,plain,
( spl26_10
| ~ spl26_12
| ~ spl26_20
| ~ spl26_59
| spl26_93 ),
inference(sat_conversion,[],[f3230]) ).
cnf(s144,plain,
( ~ spl26_5
| ~ spl26_12
| ~ spl26_59
| spl26_90
| spl26_93 ),
inference(sat_conversion,[],[f3232]) ).
cnf(s191,plain,
( ~ spl26_12
| ~ spl26_64
| spl26_85
| ~ spl26_93 ),
inference(sat_conversion,[],[f3756]) ).
cnf(s210,plain,
( spl26_14
| ~ spl26_20
| ~ spl26_21 ),
inference(sat_conversion,[],[f3920]) ).
cnf(s230,plain,
( ~ spl26_5
| ~ spl26_95 ),
inference(sat_conversion,[],[f4777]) ).
cnf(s236,plain,
( spl26_8
| ~ spl26_15
| ~ spl26_43
| ~ spl26_58 ),
inference(sat_conversion,[],[f4805]) ).
cnf(s239,plain,
( ~ spl26_43
| ~ spl26_50
| ~ spl26_58 ),
inference(sat_conversion,[],[f4813]) ).
cnf(s243,plain,
( spl26_5
| ~ spl26_15
| ~ spl26_21
| ~ spl26_64
| ~ spl26_85 ),
inference(sat_conversion,[],[f4839]) ).
cnf(s251,plain,
( ~ spl26_91
| ~ spl26_93
| spl26_95 ),
inference(sat_conversion,[],[f4945]) ).
cnf(s252,plain,
( ~ spl26_21
| ~ spl26_43
| ~ spl26_91 ),
inference(sat_conversion,[],[f4948]) ).
cnf(s264,plain,
( ~ spl26_5
| spl26_12 ),
inference(sat_conversion,[],[f5017]) ).
cnf(s266,plain,
( spl26_15
| ~ spl26_21
| ~ spl26_91 ),
inference(sat_conversion,[],[f5027]) ).
cnf(s280,plain,
( ~ spl26_30
| ~ spl26_39
| spl26_64
| spl26_95 ),
inference(sat_conversion,[],[f5116]) ).
cnf(s285,plain,
( ~ spl26_21
| spl26_64 ),
inference(sat_conversion,[],[f5139]) ).
cnf(s288,plain,
( spl26_64
| spl26_65 ),
inference(sat_conversion,[],[f5172]) ).
cnf(s294,plain,
( spl26_15
| ~ spl26_30
| spl26_64
| ~ spl26_65 ),
inference(sat_conversion,[],[f5189]) ).
cnf(s319,plain,
( ~ spl26_65
| spl26_83 ),
inference(sat_conversion,[],[f5527]) ).
cnf(s339,plain,
( spl26_9
| ~ spl26_12
| ~ spl26_30
| spl26_39
| spl26_64
| ~ spl26_83 ),
inference(sat_conversion,[],[f5645]) ).
cnf(s341,plain,
( ~ spl26_20
| spl26_10
| ~ spl26_5 ),
inference(rat,[],[s112,s114,s251,s143,s139,s17,s264,s124,s230]) ).
cnf(s342,plain,
( spl26_9
| ~ spl26_5 ),
inference(rat,[],[s339,s319,s280,s288,s56,s341,s8,s264,s124,s230]) ).
cnf(s343,plain,
( spl26_90
| ~ spl26_20
| ~ spl26_5 ),
inference(rat,[],[s251,s144,s112,s264,s124,s230,s139,s17]) ).
cnf(s344,plain,
( ~ spl26_20
| ~ spl26_5 ),
inference(rat,[],[s94,s84,s252,s266,s114,s343,s17,s9,s342]) ).
cnf(s345,plain,
( ~ spl26_58
| ~ spl26_15
| spl26_8 ),
inference(rat,[],[s236,s94]) ).
cnf(s346,plain,
~ spl26_5,
inference(rat,[],[s345,s84,s294,s288,s56,s344,s342,s124,s9,s230]) ).
cnf(s349,plain,
spl26_4,
inference(rat,[],[s3,s346]) ).
cnf(s350,plain,
( ~ spl26_15
| ~ spl26_21
| ~ spl26_64 ),
inference(rat,[],[s45,s191,s42,s129,s243,s346]) ).
cnf(s351,plain,
~ spl26_20,
inference(rat,[],[s350,s14,s210,s285,s17,s349]) ).
cnf(s352,plain,
~ spl26_64,
inference(rat,[],[s56,s351]) ).
cnf(s353,plain,
spl26_65,
inference(rat,[],[s288,s352]) ).
cnf(s357,plain,
spl26_14,
inference(rat,[],[s59,s353]) ).
cnf(s361,plain,
spl26_15,
inference(rat,[],[s14,s349,s357]) ).
cnf(s362,plain,
spl26_11,
inference(rat,[],[s62,s357,s361]) ).
cnf(s363,plain,
spl26_50,
inference(rat,[],[s42,s346,s361]) ).
cnf(s365,plain,
spl26_12,
inference(rat,[],[s45,s363]) ).
cnf(s367,plain,
spl26_9,
inference(rat,[],[s12,s362,s346,s365]) ).
cnf(s368,plain,
spl26_58,
inference(rat,[],[s84,s361,s367]) ).
cnf(s370,plain,
~ spl26_43,
inference(rat,[],[s239,s363,s368]) ).
cnf(s372,plain,
$false,
inference(rat,[],[s91,s361,s363,s368,s370]) ).
fof(f5646,plain,
$false,
inference(avatar_sat_refutation,[],[s372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO137+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.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 07:12:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.87/2.30 % (600215)Detected formulas, will run a generic FOF schedule.
% 6.87/2.30 % (600222)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=1592840770:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.87/2.30 % (600220)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=4131921553:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.87/2.30 % (600224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2469024495:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.87/2.30 % (600226)dis-21_1_sil=8000:lcm=predicate:random_seed=2536534692: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)
% 6.87/2.30 % (600223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3281087228:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.87/2.30 % (600225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2590527382:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.87/2.30 % (600221)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=2748732336:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.87/2.30 % (600223)Refutation not found, incomplete strategy
% 6.87/2.30 % (600223)------------------------------
% 6.87/2.30 % (600223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600223)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600223)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600223)Time elapsed: 0.001 s
% 6.87/2.30 % (600223)Peak memory usage: 88 MB
% 6.87/2.30 % (600224)Refutation not found, incomplete strategy
% 6.87/2.30 % (600224)------------------------------
% 6.87/2.30 % (600224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600224)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600224)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600224)Time elapsed: 0.002 s
% 6.87/2.30 % (600224)Peak memory usage: 88 MB
% 6.87/2.30 % (600224)Instructions burned: 1 (million)
% 6.87/2.30 % (600226)Instruction limit reached!
% 6.87/2.30 % (600226)------------------------------
% 6.87/2.30 % (600226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600226)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600226)Termination reason: Instruction limit
% 6.87/2.30 % (600226)Termination phase: Saturation
% 6.87/2.30 % (600226)Time elapsed: 0.078 s
% 6.87/2.30 % (600226)Peak memory usage: 88 MB
% 6.87/2.30 % (600226)Instructions burned: 130 (million)
% 6.87/2.30 % (600225)Instruction limit reached!
% 6.87/2.30 % (600225)------------------------------
% 6.87/2.30 % (600225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600225)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600225)Termination reason: Instruction limit
% 6.87/2.30 % (600225)Termination phase: Saturation
% 6.87/2.30 % (600225)Time elapsed: 0.096 s
% 6.87/2.30 % (600225)Peak memory usage: 89 MB
% 6.87/2.30 % (600225)Instructions burned: 140 (million)
% 6.87/2.30 % (600223)------------------------------
% 6.87/2.30 % (600223)------------------------------
% 6.87/2.30 % (600224)------------------------------
% 6.87/2.30 % (600224)------------------------------
% 6.87/2.30 % (600235)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1503707469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.87/2.30 % (600234)lrs+10_1_sil=8000:sp=occurrence:random_seed=4233338846:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.87/2.30 % (600235)Refutation not found, incomplete strategy
% 6.87/2.30 % (600235)------------------------------
% 6.87/2.30 % (600235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600235)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600235)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600235)Time elapsed: 0.004 s
% 6.87/2.30 % (600235)Peak memory usage: 88 MB
% 6.87/2.30 % (600235)Instructions burned: 4 (million)
% 6.87/2.30 % (600222)Refutation not found, incomplete strategy
% 6.87/2.30 % (600222)------------------------------
% 6.87/2.30 % (600222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600234)Instruction limit reached!
% 6.87/2.30 % (600234)------------------------------
% 6.87/2.30 % (600234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600234)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600222)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600234)Termination reason: Instruction limit
% 6.87/2.30 % (600234)Termination phase: Saturation
% 6.87/2.30 % (600222)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600222)Time elapsed: 0.530 s
% 6.87/2.30 % (600234)Time elapsed: 0.249 s
% 6.87/2.30 % (600222)Peak memory usage: 128 MB
% 6.87/2.30 % (600234)Peak memory usage: 92 MB
% 6.87/2.30 % (600222)Instructions burned: 940 (million)
% 6.87/2.30 % (600234)Instructions burned: 392 (million)
% 6.87/2.30 % (600235)------------------------------
% 6.87/2.30 % (600235)------------------------------
% 6.87/2.30 % (600239)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=3859983055:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.87/2.30 % (600238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3292584403:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.87/2.30 % (600239)Instruction limit reached!
% 6.87/2.30 % (600239)------------------------------
% 6.87/2.30 % (600239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600239)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600239)Termination reason: Instruction limit
% 6.87/2.30 % (600239)Termination phase: Saturation
% 6.87/2.30 % (600239)Time elapsed: 0.075 s
% 6.87/2.30 % (600239)Peak memory usage: 90 MB
% 6.87/2.30 % (600239)Instructions burned: 250 (million)
% 6.87/2.30 % (600242)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=54795597:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.87/2.30 % (600243)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1770324235:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.87/2.30 % (600242)Refutation not found, incomplete strategy
% 6.87/2.30 % (600242)------------------------------
% 6.87/2.30 % (600242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600242)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600242)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600242)Time elapsed: 0.003 s
% 6.87/2.30 % (600242)Peak memory usage: 88 MB
% 6.87/2.30 % (600242)Instructions burned: 3 (million)
% 6.87/2.30 % (600222)------------------------------
% 6.87/2.30 % (600222)------------------------------
% 6.87/2.30 % (600238)Instruction limit reached!
% 6.87/2.30 % (600238)------------------------------
% 6.87/2.30 % (600238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600238)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600238)Termination reason: Instruction limit
% 6.87/2.30 % (600238)Termination phase: Saturation
% 6.87/2.30 % (600238)Time elapsed: 0.210 s
% 6.87/2.30 % (600238)Peak memory usage: 91 MB
% 6.87/2.30 % (600238)Instructions burned: 326 (million)
% 6.87/2.30 % (600244)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1872435061:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.87/2.30 % (600244)Refutation not found, incomplete strategy
% 6.87/2.30 % (600244)------------------------------
% 6.87/2.30 % (600244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600244)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600244)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600244)Time elapsed: 0.002 s
% 6.87/2.30 % (600244)Peak memory usage: 89 MB
% 6.87/2.30 % (600244)Instructions burned: 1 (million)
% 6.87/2.30 % (600247)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1229590092:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.87/2.30 % (600247)Instruction limit reached!
% 6.87/2.30 % (600247)------------------------------
% 6.87/2.30 % (600247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600247)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600247)Termination reason: Instruction limit
% 6.87/2.30 % (600247)Termination phase: Saturation
% 6.87/2.30 % (600247)Time elapsed: 0.037 s
% 6.87/2.30 % (600247)Peak memory usage: 89 MB
% 6.87/2.30 % (600247)Instructions burned: 129 (million)
% 6.87/2.30 % (600248)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2680695167:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.87/2.30 % (600242)------------------------------
% 6.87/2.30 % (600242)------------------------------
% 6.87/2.30 % (600248)Refutation not found, incomplete strategy
% 6.87/2.30 % (600248)------------------------------
% 6.87/2.30 % (600248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600248)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600248)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600248)Time elapsed: 0.029 s
% 6.87/2.30 % (600248)Peak memory usage: 89 MB
% 6.87/2.30 % (600248)Instructions burned: 49 (million)
% 6.87/2.30 % (600244)------------------------------
% 6.87/2.30 % (600244)------------------------------
% 6.87/2.30 % (600251)lrs+10_1_sil=8000:sp=occurrence:random_seed=4023661829:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 6.87/2.30 % (600220)First to succeed.
% 6.87/2.30 % (600220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-600215"
% 6.87/2.30 % (600253)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2300237872:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 6.87/2.30 % (600253)Refutation not found, incomplete strategy
% 6.87/2.30 % (600253)------------------------------
% 6.87/2.30 % (600253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.30 % (600253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.30 % (600253)CaDiCaL version: 2.1.3
% 6.87/2.30 % (600253)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.30 % (600253)Time elapsed: 0.002 s
% 6.87/2.30 % (600253)Peak memory usage: 88 MB
% 6.87/2.30 % (600248)------------------------------
% 6.87/2.30 % (600248)------------------------------
% 6.87/2.30 % (600254)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2265503164:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 6.87/2.30 % (600220)Refutation found. Thanks to Tanya!
% 6.87/2.30 % SZS status Theorem for theBenchmark
% 6.87/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.50 % (600220)------------------------------
% 0.16/2.50 % (600220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (600220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (600220)CaDiCaL version: 2.1.3
% 0.16/2.50 % (600220)Termination reason: Refutation
% 0.16/2.50 % (600220)Time elapsed: 1.023 s
% 0.16/2.50 % (600220)Peak memory usage: 133 MB
% 0.16/2.50 % (600220)Instructions burned: 1495 (million)
% 0.16/2.50 % (600220)------------------------------
% 0.16/2.50 % (600220)------------------------------
% 0.16/2.50 % (600215)Success in time 1.447 s
% 0.16/2.50 % Vampire exiting
%------------------------------------------------------------------------------