%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO168+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:51:45 AM UTC 2026
% Result : Theorem 17.69s 3.38s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 82
% Syntax : Number of formulae : 616 ( 103 unt; 60 def)
% Number of atoms : 1600 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1798 ( 814 ~; 884 |; 23 &)
% ( 60 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 66 ( 65 usr; 62 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 369 ( 0 sgn 363 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( colinear(a,b,c,l)
& colinear(d,e,f,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption1) ).
fof(f2,axiom,
( colinear(b,f,g,n)
& colinear(c,e,g,o) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption2) ).
fof(f3,axiom,
( colinear(b,d,h,p)
& colinear(a,e,h,q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption3) ).
fof(f4,axiom,
( colinear(c,d,i,r)
& colinear(a,f,i,s) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption4) ).
fof(f5,axiom,
( incident(a,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalam) ).
fof(f6,axiom,
( incident(b,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalbm) ).
fof(f7,axiom,
( incident(c,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalcm) ).
fof(f8,axiom,
( incident(d,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goaldl) ).
fof(f9,axiom,
( incident(e,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalel) ).
fof(f11,axiom,
! [X0] :
( ( incident(g,X0)
& incident(h,X0)
& incident(i,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal4) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(f15,axiom,
! [X0,X1] :
( incident(X0,X1)
=> point_equal(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(f16,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f19,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( point_equal(X0,X1)
& incident(X1,X2) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( incident(X0,X1)
& line_equal(X1,X2) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( colinear(X0,X1,X2,X9)
& colinear(X3,X4,X5,X10)
& colinear(X1,X5,X6,X11)
& colinear(X2,X4,X6,X12)
& colinear(X1,X3,X7,X13)
& colinear(X0,X4,X7,X14)
& colinear(X2,X3,X8,X15)
& colinear(X0,X5,X8,X16) )
=> ( ? [X17] : colinear(X6,X7,X8,X17)
| line_equal(X11,X12)
| line_equal(X13,X14)
| line_equal(X15,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pappus1) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( incident(X2,X0)
& incident(X2,X1)
& incident(X3,X0)
& incident(X3,X1) )
=> ( point_equal(X2,X3)
| line_equal(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(f25,axiom,
! [X0,X1] :
( ( point_equal(X0,X0)
& point_equal(X1,X1) )
=> ? [X2] :
( incident(X0,X2)
& incident(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
fof(f27,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f28,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f30,plain,
~ goal,
inference(flattening,[],[f28]) ).
fof(f31,plain,
( goal
| ~ incident(a,m) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
( goal
| ~ incident(b,m) ),
inference(ennf_transformation,[],[f6]) ).
fof(f33,plain,
( goal
| ~ incident(c,m) ),
inference(ennf_transformation,[],[f7]) ).
fof(f34,plain,
( goal
| ~ incident(d,l) ),
inference(ennf_transformation,[],[f8]) ).
fof(f35,plain,
( goal
| ~ incident(e,l) ),
inference(ennf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] :
( goal
| ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] :
( goal
| ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f42,plain,
! [X0,X1] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f50,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ point_equal(X0,X1)
| ~ incident(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ point_equal(X0,X1)
| ~ incident(X1,X2) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X0,X1)
| ~ line_equal(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X0,X1)
| ~ line_equal(X1,X2) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ? [X17] : colinear(X6,X7,X8,X17)
| line_equal(X11,X12)
| line_equal(X13,X14)
| line_equal(X15,X16)
| ~ colinear(X0,X1,X2,X9)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X5,X8,X16) ),
inference(ennf_transformation,[],[f23]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ? [X17] : colinear(X6,X7,X8,X17)
| line_equal(X11,X12)
| line_equal(X13,X14)
| line_equal(X15,X16)
| ~ colinear(X0,X1,X2,X9)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X5,X8,X16) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( point_equal(X2,X3)
| line_equal(X0,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| ~ incident(X3,X0)
| ~ incident(X3,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( point_equal(X2,X3)
| line_equal(X0,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| ~ incident(X3,X0)
| ~ incident(X3,X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( incident(X0,X2)
& incident(X1,X2) )
| ~ point_equal(X0,X0)
| ~ point_equal(X1,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2] :
( incident(X0,X2)
& incident(X1,X2) )
| ~ point_equal(X0,X0)
| ~ point_equal(X1,X1) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( colinear(X6,X7,X8,sK0(X6,X7,X8))
| line_equal(X11,X12)
| line_equal(X13,X14)
| line_equal(X15,X16)
| ~ colinear(X0,X1,X2,X9)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X5,X8,X16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X17,sK0(X6,X7,X8))],[f55]) ).
fof(f63,plain,
! [X0,X1] :
( ( incident(X0,sK1(X0,X1))
& incident(X1,sK1(X0,X1)) )
| ~ point_equal(X0,X0)
| ~ point_equal(X1,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f59]) ).
fof(f66,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
( goal
| ~ incident(a,m) ),
inference(cnf_transformation,[],[f31]) ).
fof(f75,plain,
( goal
| ~ incident(b,m) ),
inference(cnf_transformation,[],[f32]) ).
fof(f76,plain,
( goal
| ~ incident(c,m) ),
inference(cnf_transformation,[],[f33]) ).
fof(f77,plain,
( goal
| ~ incident(d,l) ),
inference(cnf_transformation,[],[f34]) ).
fof(f78,plain,
( goal
| ~ incident(e,l) ),
inference(cnf_transformation,[],[f35]) ).
fof(f80,plain,
! [X0] :
( goal
| ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f85,plain,
! [X0,X1] :
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| incident(X0,X2)
| ~ incident(X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| ~ incident(X0,X1)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f92,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X7,X15,X5,X12,X13] :
( ~ colinear(X3,X4,X5,X10)
| line_equal(X11,X12)
| line_equal(X13,X14)
| line_equal(X15,X16)
| ~ colinear(X0,X1,X2,X9)
| colinear(X6,X7,X8,sK0(X6,X7,X8))
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X5,X8,X16) ),
inference(cnf_transformation,[],[f62]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ incident(X3,X1)
| line_equal(X0,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| ~ incident(X3,X0)
| point_equal(X2,X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| incident(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| incident(X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f98,plain,
~ goal,
inference(cnf_transformation,[],[f30]) ).
fof(f99,plain,
! [X0] :
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(forward_subsumption_resolution,[],[f80,f98]) ).
fof(f101,plain,
~ incident(e,l),
inference(forward_subsumption_resolution,[],[f78,f98]) ).
fof(f102,plain,
~ incident(d,l),
inference(forward_subsumption_resolution,[],[f77,f98]) ).
fof(f103,plain,
~ incident(c,m),
inference(forward_subsumption_resolution,[],[f76,f98]) ).
fof(f104,plain,
~ incident(b,m),
inference(forward_subsumption_resolution,[],[f75,f98]) ).
fof(f105,plain,
~ incident(a,m),
inference(forward_subsumption_resolution,[],[f74,f98]) ).
fof(f106,plain,
incident(h,q),
inference(resolution,[],[f70,f83]) ).
fof(f107,plain,
incident(e,q),
inference(resolution,[],[f70,f82]) ).
fof(f108,plain,
incident(a,q),
inference(resolution,[],[f70,f81]) ).
fof(f109,plain,
incident(i,s),
inference(resolution,[],[f72,f83]) ).
fof(f110,plain,
incident(f,s),
inference(resolution,[],[f72,f82]) ).
fof(f111,plain,
incident(a,s),
inference(resolution,[],[f72,f81]) ).
fof(f112,plain,
( ~ incident(h,s)
| ~ incident(g,s) ),
inference(resolution,[],[f109,f99]) ).
fof(f114,definition,
( spl3_1
<=> incident(g,s) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f115,plain,
( incident(g,s)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( ~ incident(g,s)
| spl3_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl3_2
<=> incident(h,s) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f119,plain,
( incident(h,s)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( ~ incident(h,s)
| spl3_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f112,f118,f114]) ).
fof(f122,plain,
incident(h,p),
inference(resolution,[],[f71,f83]) ).
fof(f123,plain,
incident(d,p),
inference(resolution,[],[f71,f82]) ).
fof(f124,plain,
incident(b,p),
inference(resolution,[],[f71,f81]) ).
fof(f125,plain,
incident(g,o),
inference(resolution,[],[f68,f83]) ).
fof(f126,plain,
incident(e,o),
inference(resolution,[],[f68,f82]) ).
fof(f127,plain,
incident(c,o),
inference(resolution,[],[f68,f81]) ).
fof(f128,plain,
incident(i,r),
inference(resolution,[],[f73,f83]) ).
fof(f129,plain,
incident(d,r),
inference(resolution,[],[f73,f82]) ).
fof(f130,plain,
incident(c,r),
inference(resolution,[],[f73,f81]) ).
fof(f133,definition,
( spl3_3
<=> incident(g,r) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f134,plain,
( incident(g,r)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( ~ incident(g,r)
| spl3_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f137,definition,
( spl3_4
<=> incident(h,r) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f138,plain,
( incident(h,r)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f139,plain,
( ~ incident(h,r)
| spl3_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f141,plain,
incident(g,n),
inference(resolution,[],[f69,f83]) ).
fof(f142,plain,
incident(f,n),
inference(resolution,[],[f69,f82]) ).
fof(f143,plain,
incident(b,n),
inference(resolution,[],[f69,f81]) ).
fof(f147,plain,
point_equal(g,g),
inference(resolution,[],[f84,f125]) ).
fof(f153,plain,
point_equal(h,h),
inference(resolution,[],[f84,f106]) ).
fof(f159,plain,
point_equal(i,i),
inference(resolution,[],[f84,f109]) ).
fof(f162,plain,
incident(c,l),
inference(resolution,[],[f67,f83]) ).
fof(f163,plain,
incident(b,l),
inference(resolution,[],[f67,f82]) ).
fof(f164,plain,
incident(a,l),
inference(resolution,[],[f67,f81]) ).
fof(f189,plain,
incident(f,m),
inference(resolution,[],[f66,f83]) ).
fof(f190,plain,
incident(e,m),
inference(resolution,[],[f66,f82]) ).
fof(f191,plain,
incident(d,m),
inference(resolution,[],[f66,f81]) ).
fof(f204,plain,
! [X0,X1] :
( ~ incident(b,X0)
| ~ incident(X1,X0)
| ~ incident(X1,l)
| line_equal(X0,l)
| point_equal(X1,b) ),
inference(resolution,[],[f93,f163]) ).
fof(f205,plain,
! [X0,X1] :
( ~ incident(c,X0)
| ~ incident(X1,X0)
| ~ incident(X1,l)
| line_equal(X0,l)
| point_equal(X1,c) ),
inference(resolution,[],[f93,f162]) ).
fof(f206,plain,
! [X0,X1] :
( ~ incident(e,X0)
| ~ incident(X1,X0)
| ~ incident(X1,m)
| line_equal(X0,m)
| point_equal(X1,e) ),
inference(resolution,[],[f93,f190]) ).
fof(f207,plain,
! [X0,X1] :
( ~ incident(d,X0)
| ~ incident(X1,X0)
| ~ incident(X1,m)
| line_equal(X0,m)
| point_equal(X1,d) ),
inference(resolution,[],[f93,f191]) ).
fof(f209,plain,
! [X0,X1] :
( ~ incident(g,X0)
| ~ incident(X1,X0)
| ~ incident(X1,n)
| line_equal(X0,n)
| point_equal(X1,g) ),
inference(resolution,[],[f93,f141]) ).
fof(f210,plain,
! [X0,X1] :
( ~ incident(b,X0)
| ~ incident(X1,X0)
| ~ incident(X1,n)
| line_equal(X0,n)
| point_equal(X1,b) ),
inference(resolution,[],[f93,f143]) ).
fof(f213,plain,
! [X0,X1] :
( ~ incident(e,X0)
| ~ incident(X1,X0)
| ~ incident(X1,o)
| line_equal(X0,o)
| point_equal(X1,e) ),
inference(resolution,[],[f93,f126]) ).
fof(f214,plain,
! [X0,X1] :
( ~ incident(c,X0)
| ~ incident(X1,X0)
| ~ incident(X1,o)
| line_equal(X0,o)
| point_equal(X1,c) ),
inference(resolution,[],[f93,f127]) ).
fof(f221,plain,
! [X0,X1] :
( ~ incident(i,X0)
| ~ incident(X1,X0)
| ~ incident(X1,r)
| line_equal(X0,r)
| point_equal(X1,i) ),
inference(resolution,[],[f93,f128]) ).
fof(f222,plain,
! [X0,X1] :
( ~ incident(d,X0)
| ~ incident(X1,X0)
| ~ incident(X1,r)
| line_equal(X0,r)
| point_equal(X1,d) ),
inference(resolution,[],[f93,f129]) ).
fof(f225,plain,
! [X0,X1] :
( ~ incident(a,X0)
| ~ incident(X1,X0)
| ~ incident(X1,s)
| line_equal(X0,s)
| point_equal(X1,a) ),
inference(resolution,[],[f93,f111]) ).
fof(f226,plain,
! [X0,X1] :
( ~ incident(f,X0)
| ~ incident(X1,X0)
| ~ incident(X1,s)
| line_equal(X0,s)
| point_equal(X1,f) ),
inference(resolution,[],[f93,f110]) ).
fof(f371,plain,
! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,m)
| line_equal(o,m)
| point_equal(X0,e) ),
inference(resolution,[],[f206,f126]) ).
fof(f372,plain,
! [X0] :
( ~ incident(X0,q)
| ~ incident(X0,m)
| line_equal(q,m)
| point_equal(X0,e) ),
inference(resolution,[],[f206,f107]) ).
fof(f375,definition,
( spl3_17
<=> line_equal(q,m) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f377,plain,
( line_equal(q,m)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl3_18
<=> ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,m) ) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f380,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,m) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f372,f379,f375]) ).
fof(f383,definition,
( spl3_19
<=> line_equal(o,m) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f385,plain,
( line_equal(o,m)
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,definition,
( spl3_20
<=> ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,e)
| ~ incident(X0,m) ) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f388,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,e)
| ~ incident(X0,m) )
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( spl3_19
| spl3_20 ),
inference(avatar_split_clause,[],[f371,f387,f383]) ).
fof(f390,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,m) )
| ~ spl3_19 ),
inference(resolution,[],[f385,f91]) ).
fof(f393,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,m) )
| ~ spl3_17 ),
inference(resolution,[],[f377,f91]) ).
fof(f414,plain,
( incident(c,m)
| ~ spl3_19 ),
inference(resolution,[],[f390,f127]) ).
fof(f416,plain,
( $false
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f414,f103]) ).
fof(f417,plain,
~ spl3_19,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f419,plain,
( incident(a,m)
| ~ spl3_17 ),
inference(resolution,[],[f393,f108]) ).
fof(f422,plain,
( $false
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f419,f105]) ).
fof(f423,plain,
~ spl3_17,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f533,plain,
! [X0] :
( ~ incident(X0,r)
| ~ incident(X0,m)
| line_equal(r,m)
| point_equal(X0,d) ),
inference(resolution,[],[f207,f129]) ).
fof(f536,definition,
( spl3_31
<=> line_equal(r,m) ),
introduced(definition,[new_symbols(definition,[spl3_31])],[avatar_definition]) ).
fof(f538,plain,
( line_equal(r,m)
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f540,definition,
( spl3_32
<=> ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,m) ) ),
introduced(definition,[new_symbols(definition,[spl3_32])],[avatar_definition]) ).
fof(f541,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,m) )
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f542,plain,
( spl3_31
| spl3_32 ),
inference(avatar_split_clause,[],[f533,f540,f536]) ).
fof(f554,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,m) )
| ~ spl3_31 ),
inference(resolution,[],[f538,f91]) ).
fof(f583,plain,
( incident(c,m)
| ~ spl3_31 ),
inference(resolution,[],[f554,f130]) ).
fof(f585,plain,
( $false
| ~ spl3_31 ),
inference(forward_subsumption_resolution,[],[f583,f103]) ).
fof(f586,plain,
~ spl3_31,
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f602,plain,
! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,l)
| line_equal(o,l)
| point_equal(X0,c) ),
inference(resolution,[],[f205,f127]) ).
fof(f603,plain,
! [X0] :
( ~ incident(X0,r)
| ~ incident(X0,l)
| line_equal(r,l)
| point_equal(X0,c) ),
inference(resolution,[],[f205,f130]) ).
fof(f606,definition,
( spl3_35
<=> line_equal(r,l) ),
introduced(definition,[new_symbols(definition,[spl3_35])],[avatar_definition]) ).
fof(f608,plain,
( line_equal(r,l)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f610,definition,
( spl3_36
<=> ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,l) ) ),
introduced(definition,[new_symbols(definition,[spl3_36])],[avatar_definition]) ).
fof(f611,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,l) )
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
( spl3_35
| spl3_36 ),
inference(avatar_split_clause,[],[f603,f610,f606]) ).
fof(f614,definition,
( spl3_37
<=> line_equal(o,l) ),
introduced(definition,[new_symbols(definition,[spl3_37])],[avatar_definition]) ).
fof(f616,plain,
( line_equal(o,l)
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f618,definition,
( spl3_38
<=> ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,c)
| ~ incident(X0,l) ) ),
introduced(definition,[new_symbols(definition,[spl3_38])],[avatar_definition]) ).
fof(f619,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,c)
| ~ incident(X0,l) )
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f620,plain,
( spl3_37
| spl3_38 ),
inference(avatar_split_clause,[],[f602,f618,f614]) ).
fof(f621,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,l) )
| ~ spl3_37 ),
inference(resolution,[],[f616,f91]) ).
fof(f624,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,l) )
| ~ spl3_35 ),
inference(resolution,[],[f608,f91]) ).
fof(f644,plain,
( incident(d,l)
| ~ spl3_35 ),
inference(resolution,[],[f624,f129]) ).
fof(f648,plain,
( $false
| ~ spl3_35 ),
inference(forward_subsumption_resolution,[],[f644,f102]) ).
fof(f649,plain,
~ spl3_35,
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f653,plain,
( incident(e,l)
| ~ spl3_37 ),
inference(resolution,[],[f621,f126]) ).
fof(f657,plain,
( $false
| ~ spl3_37 ),
inference(forward_subsumption_resolution,[],[f653,f101]) ).
fof(f658,plain,
~ spl3_37,
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f698,plain,
! [X0] :
( ~ incident(X0,p)
| ~ incident(X0,l)
| line_equal(p,l)
| point_equal(X0,b) ),
inference(resolution,[],[f204,f124]) ).
fof(f701,definition,
( spl3_45
<=> line_equal(p,l) ),
introduced(definition,[new_symbols(definition,[spl3_45])],[avatar_definition]) ).
fof(f703,plain,
( line_equal(p,l)
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f705,definition,
( spl3_46
<=> ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,l) ) ),
introduced(definition,[new_symbols(definition,[spl3_46])],[avatar_definition]) ).
fof(f706,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,l) )
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( spl3_45
| spl3_46 ),
inference(avatar_split_clause,[],[f698,f705,f701]) ).
fof(f719,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,l) )
| ~ spl3_45 ),
inference(resolution,[],[f703,f91]) ).
fof(f740,plain,
( incident(d,l)
| ~ spl3_45 ),
inference(resolution,[],[f719,f123]) ).
fof(f743,plain,
( $false
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f740,f102]) ).
fof(f744,plain,
~ spl3_45,
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f785,plain,
! [X0] :
( ~ incident(X0,n)
| ~ incident(X0,s)
| line_equal(n,s)
| point_equal(X0,f) ),
inference(resolution,[],[f226,f142]) ).
fof(f789,definition,
( spl3_53
<=> line_equal(n,s) ),
introduced(definition,[new_symbols(definition,[spl3_53])],[avatar_definition]) ).
fof(f791,plain,
( line_equal(n,s)
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f793,definition,
( spl3_54
<=> ! [X0] :
( ~ incident(X0,n)
| point_equal(X0,f)
| ~ incident(X0,s) ) ),
introduced(definition,[new_symbols(definition,[spl3_54])],[avatar_definition]) ).
fof(f794,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,f)
| ~ incident(X0,n) )
| ~ spl3_54 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f795,plain,
( spl3_53
| spl3_54 ),
inference(avatar_split_clause,[],[f785,f793,f789]) ).
fof(f796,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,s) )
| ~ spl3_53 ),
inference(resolution,[],[f791,f91]) ).
fof(f799,plain,
( incident(g,s)
| ~ spl3_53 ),
inference(resolution,[],[f796,f141]) ).
fof(f804,plain,
( $false
| spl3_1
| ~ spl3_53 ),
inference(forward_subsumption_resolution,[],[f799,f116]) ).
fof(f805,plain,
( spl3_1
| ~ spl3_53 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f864,plain,
! [X0] :
( ~ incident(X0,q)
| ~ incident(X0,s)
| line_equal(q,s)
| point_equal(X0,a) ),
inference(resolution,[],[f225,f108]) ).
fof(f868,definition,
( spl3_55
<=> line_equal(q,s) ),
introduced(definition,[new_symbols(definition,[spl3_55])],[avatar_definition]) ).
fof(f870,plain,
( line_equal(q,s)
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl3_56
<=> ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,a)
| ~ incident(X0,s) ) ),
introduced(definition,[new_symbols(definition,[spl3_56])],[avatar_definition]) ).
fof(f873,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,q) )
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( spl3_55
| spl3_56 ),
inference(avatar_split_clause,[],[f864,f872,f868]) ).
fof(f883,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,s) )
| ~ spl3_55 ),
inference(resolution,[],[f870,f91]) ).
fof(f886,plain,
( incident(h,s)
| ~ spl3_55 ),
inference(resolution,[],[f883,f106]) ).
fof(f891,plain,
( $false
| spl3_2
| ~ spl3_55 ),
inference(forward_subsumption_resolution,[],[f886,f120]) ).
fof(f892,plain,
( spl3_2
| ~ spl3_55 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f898,plain,
( point_equal(a,f)
| ~ incident(a,n)
| ~ spl3_54 ),
inference(resolution,[],[f794,f111]) ).
fof(f909,definition,
( spl3_60
<=> incident(h,n) ),
introduced(definition,[new_symbols(definition,[spl3_60])],[avatar_definition]) ).
fof(f910,plain,
( incident(h,n)
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f911,plain,
( ~ incident(h,n)
| spl3_60 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f918,definition,
( spl3_62
<=> incident(a,n) ),
introduced(definition,[new_symbols(definition,[spl3_62])],[avatar_definition]) ).
fof(f920,plain,
( ~ incident(a,n)
| spl3_62 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f922,definition,
( spl3_63
<=> point_equal(a,f) ),
introduced(definition,[new_symbols(definition,[spl3_63])],[avatar_definition]) ).
fof(f923,plain,
( ~ point_equal(a,f)
| spl3_63 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f924,plain,
( point_equal(a,f)
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f925,plain,
( ~ spl3_62
| spl3_63
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f898,f793,f922,f918]) ).
fof(f962,definition,
( spl3_64
<=> line_equal(o,s) ),
introduced(definition,[new_symbols(definition,[spl3_64])],[avatar_definition]) ).
fof(f964,plain,
( line_equal(o,s)
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f970,plain,
( point_equal(f,a)
| ~ incident(f,q)
| ~ spl3_56 ),
inference(resolution,[],[f873,f110]) ).
fof(f982,definition,
( spl3_67
<=> incident(f,q) ),
introduced(definition,[new_symbols(definition,[spl3_67])],[avatar_definition]) ).
fof(f984,plain,
( ~ incident(f,q)
| spl3_67 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f986,definition,
( spl3_68
<=> point_equal(f,a) ),
introduced(definition,[new_symbols(definition,[spl3_68])],[avatar_definition]) ).
fof(f987,plain,
( ~ point_equal(f,a)
| spl3_68 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f988,plain,
( point_equal(f,a)
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f989,plain,
( ~ spl3_67
| spl3_68
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f970,f872,f986,f982]) ).
fof(f1002,plain,
! [X0] :
( ~ incident(X0,q)
| ~ incident(X0,o)
| line_equal(q,o)
| point_equal(X0,e) ),
inference(resolution,[],[f213,f107]) ).
fof(f1005,definition,
( spl3_70
<=> line_equal(q,o) ),
introduced(definition,[new_symbols(definition,[spl3_70])],[avatar_definition]) ).
fof(f1007,plain,
( line_equal(q,o)
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1009,definition,
( spl3_71
<=> ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,o) ) ),
introduced(definition,[new_symbols(definition,[spl3_71])],[avatar_definition]) ).
fof(f1010,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,o) )
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1011,plain,
( spl3_70
| spl3_71 ),
inference(avatar_split_clause,[],[f1002,f1009,f1005]) ).
fof(f1012,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,o) )
| ~ spl3_70 ),
inference(resolution,[],[f1007,f91]) ).
fof(f1017,plain,
( incident(h,o)
| ~ spl3_70 ),
inference(resolution,[],[f1012,f106]) ).
fof(f1081,definition,
( spl3_74
<=> line_equal(r,s) ),
introduced(definition,[new_symbols(definition,[spl3_74])],[avatar_definition]) ).
fof(f1082,plain,
( ~ line_equal(r,s)
| spl3_74 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( line_equal(r,s)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1088,plain,
( point_equal(a,e)
| ~ incident(a,o)
| ~ spl3_71 ),
inference(resolution,[],[f1010,f108]) ).
fof(f1093,definition,
( spl3_76
<=> incident(h,o) ),
introduced(definition,[new_symbols(definition,[spl3_76])],[avatar_definition]) ).
fof(f1094,plain,
( incident(h,o)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1098,definition,
( spl3_77
<=> incident(a,o) ),
introduced(definition,[new_symbols(definition,[spl3_77])],[avatar_definition]) ).
fof(f1099,plain,
( incident(a,o)
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1100,plain,
( ~ incident(a,o)
| spl3_77 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1102,definition,
( spl3_78
<=> point_equal(a,e) ),
introduced(definition,[new_symbols(definition,[spl3_78])],[avatar_definition]) ).
fof(f1104,plain,
( point_equal(a,e)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1105,plain,
( ~ spl3_77
| spl3_78
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f1088,f1009,f1102,f1098]) ).
fof(f1108,plain,
! [X0] :
( ~ incident(X0,p)
| ~ incident(X0,n)
| line_equal(p,n)
| point_equal(X0,b) ),
inference(resolution,[],[f210,f124]) ).
fof(f1111,definition,
( spl3_79
<=> line_equal(p,n) ),
introduced(definition,[new_symbols(definition,[spl3_79])],[avatar_definition]) ).
fof(f1113,plain,
( line_equal(p,n)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1115,definition,
( spl3_80
<=> ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,n) ) ),
introduced(definition,[new_symbols(definition,[spl3_80])],[avatar_definition]) ).
fof(f1116,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,n) )
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1117,plain,
( spl3_79
| spl3_80 ),
inference(avatar_split_clause,[],[f1108,f1115,f1111]) ).
fof(f1118,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,n) )
| ~ spl3_79 ),
inference(resolution,[],[f1113,f91]) ).
fof(f1120,plain,
( line_equal(n,p)
| ~ spl3_79 ),
inference(resolution,[],[f1113,f88]) ).
fof(f1123,plain,
( incident(h,n)
| ~ spl3_79 ),
inference(resolution,[],[f1118,f122]) ).
fof(f1126,plain,
( $false
| spl3_60
| ~ spl3_79 ),
inference(forward_subsumption_resolution,[],[f1123,f911]) ).
fof(f1127,plain,
( spl3_60
| ~ spl3_79 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1133,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,p) )
| ~ spl3_79 ),
inference(resolution,[],[f1120,f91]) ).
fof(f1137,plain,
( incident(f,p)
| ~ spl3_79 ),
inference(resolution,[],[f1133,f142]) ).
fof(f1189,plain,
( point_equal(d,b)
| ~ incident(d,n)
| ~ spl3_80 ),
inference(resolution,[],[f1116,f123]) ).
fof(f1195,definition,
( spl3_85
<=> incident(d,n) ),
introduced(definition,[new_symbols(definition,[spl3_85])],[avatar_definition]) ).
fof(f1197,plain,
( ~ incident(d,n)
| spl3_85 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1199,definition,
( spl3_86
<=> point_equal(d,b) ),
introduced(definition,[new_symbols(definition,[spl3_86])],[avatar_definition]) ).
fof(f1200,plain,
( ~ point_equal(d,b)
| spl3_86 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1201,plain,
( point_equal(d,b)
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1202,plain,
( ~ spl3_85
| spl3_86
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f1189,f1115,f1199,f1195]) ).
fof(f1457,definition,
( spl3_92
<=> line_equal(r,o) ),
introduced(definition,[new_symbols(definition,[spl3_92])],[avatar_definition]) ).
fof(f1459,plain,
( line_equal(r,o)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1476,definition,
( spl3_94
<=> line_equal(n,o) ),
introduced(definition,[new_symbols(definition,[spl3_94])],[avatar_definition]) ).
fof(f1477,plain,
( ~ line_equal(n,o)
| spl3_94 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1478,plain,
( line_equal(n,o)
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1511,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,o) )
| ~ spl3_94 ),
inference(resolution,[],[f1478,f91]) ).
fof(f1606,plain,
( line_equal(o,r)
| ~ spl3_92 ),
inference(resolution,[],[f1459,f88]) ).
fof(f1883,plain,
! [X0] :
( ~ incident(X0,r)
| ~ incident(X0,o)
| line_equal(r,o)
| point_equal(X0,c) ),
inference(resolution,[],[f214,f130]) ).
fof(f1921,definition,
( spl3_128
<=> ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,o) ) ),
introduced(definition,[new_symbols(definition,[spl3_128])],[avatar_definition]) ).
fof(f1922,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,o) )
| ~ spl3_128 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f1923,plain,
( spl3_92
| spl3_128 ),
inference(avatar_split_clause,[],[f1883,f1921,f1457]) ).
fof(f1926,definition,
( spl3_129
<=> incident(f,o) ),
introduced(definition,[new_symbols(definition,[spl3_129])],[avatar_definition]) ).
fof(f1927,plain,
( incident(f,o)
| ~ spl3_129 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f1930,definition,
( spl3_130
<=> point_equal(f,e) ),
introduced(definition,[new_symbols(definition,[spl3_130])],[avatar_definition]) ).
fof(f1931,plain,
( ~ point_equal(f,e)
| spl3_130 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1932,plain,
( point_equal(f,e)
| ~ spl3_130 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1949,plain,
( point_equal(f,e)
| ~ incident(f,m)
| ~ spl3_20
| ~ spl3_129 ),
inference(resolution,[],[f1927,f388]) ).
fof(f1956,plain,
( point_equal(a,f)
| ~ spl3_68 ),
inference(resolution,[],[f988,f85]) ).
fof(f1957,plain,
( $false
| spl3_63
| ~ spl3_68 ),
inference(forward_subsumption_resolution,[],[f1956,f923]) ).
fof(f1958,plain,
( spl3_63
| ~ spl3_68 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1959,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(a,X0) )
| ~ spl3_63 ),
inference(resolution,[],[f924,f90]) ).
fof(f1985,plain,
( point_equal(e,f)
| ~ spl3_130 ),
inference(resolution,[],[f1932,f85]) ).
fof(f2020,plain,
( incident(a,m)
| ~ spl3_63 ),
inference(resolution,[],[f1959,f189]) ).
fof(f2031,plain,
( $false
| ~ spl3_63 ),
inference(forward_subsumption_resolution,[],[f2020,f105]) ).
fof(f2032,plain,
~ spl3_63,
inference(avatar_contradiction_clause,[],[f2031]) ).
fof(f2063,definition,
( spl3_132
<=> incident(d,q) ),
introduced(definition,[new_symbols(definition,[spl3_132])],[avatar_definition]) ).
fof(f2064,plain,
( incident(d,q)
| ~ spl3_132 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2065,plain,
( ~ incident(d,q)
| spl3_132 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2083,plain,
( point_equal(d,e)
| ~ incident(d,m)
| ~ spl3_18
| ~ spl3_132 ),
inference(resolution,[],[f2064,f380]) ).
fof(f2093,plain,
( point_equal(d,c)
| ~ incident(d,o)
| ~ spl3_128 ),
inference(resolution,[],[f1922,f129]) ).
fof(f2160,definition,
( spl3_134
<=> incident(d,o) ),
introduced(definition,[new_symbols(definition,[spl3_134])],[avatar_definition]) ).
fof(f2162,plain,
( ~ incident(d,o)
| spl3_134 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2164,definition,
( spl3_135
<=> point_equal(d,c) ),
introduced(definition,[new_symbols(definition,[spl3_135])],[avatar_definition]) ).
fof(f2166,plain,
( point_equal(d,c)
| ~ spl3_135 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2167,plain,
( ~ spl3_134
| spl3_135
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f2093,f1921,f2164,f2160]) ).
fof(f2171,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(e,X0) )
| ~ spl3_130 ),
inference(resolution,[],[f1985,f90]) ).
fof(f2178,plain,
( incident(e,s)
| ~ spl3_130 ),
inference(resolution,[],[f2171,f110]) ).
fof(f2181,plain,
( point_equal(e,a)
| ~ incident(e,q)
| ~ spl3_56
| ~ spl3_130 ),
inference(resolution,[],[f2178,f873]) ).
fof(f2188,plain,
( point_equal(e,a)
| ~ spl3_56
| ~ spl3_130 ),
inference(forward_subsumption_resolution,[],[f2181,f107]) ).
fof(f2192,plain,
( point_equal(a,e)
| ~ spl3_56
| ~ spl3_130 ),
inference(resolution,[],[f2188,f85]) ).
fof(f2193,plain,
( spl3_78
| ~ spl3_56
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f2192,f1930,f872,f1102]) ).
fof(f2206,plain,
( incident(b,o)
| ~ spl3_94 ),
inference(resolution,[],[f1511,f143]) ).
fof(f2208,plain,
( incident(f,o)
| ~ spl3_94 ),
inference(resolution,[],[f1511,f142]) ).
fof(f2243,definition,
( spl3_137
<=> ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,p) ) ),
introduced(definition,[new_symbols(definition,[spl3_137])],[avatar_definition]) ).
fof(f2244,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,p) )
| ~ spl3_137 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2267,definition,
( spl3_141
<=> point_equal(c,d) ),
introduced(definition,[new_symbols(definition,[spl3_141])],[avatar_definition]) ).
fof(f2269,plain,
( point_equal(c,d)
| ~ spl3_141 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2277,plain,
! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,n)
| line_equal(o,n)
| point_equal(X0,g) ),
inference(resolution,[],[f209,f125]) ).
fof(f2281,definition,
( spl3_143
<=> line_equal(o,n) ),
introduced(definition,[new_symbols(definition,[spl3_143])],[avatar_definition]) ).
fof(f2283,plain,
( line_equal(o,n)
| ~ spl3_143 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f2285,definition,
( spl3_144
<=> ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,g)
| ~ incident(X0,n) ) ),
introduced(definition,[new_symbols(definition,[spl3_144])],[avatar_definition]) ).
fof(f2286,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,g)
| ~ incident(X0,n) )
| ~ spl3_144 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2287,plain,
( spl3_143
| spl3_144 ),
inference(avatar_split_clause,[],[f2277,f2285,f2281]) ).
fof(f2291,plain,
( line_equal(n,o)
| ~ spl3_143 ),
inference(resolution,[],[f2283,f88]) ).
fof(f2292,plain,
( $false
| spl3_94
| ~ spl3_143 ),
inference(forward_subsumption_resolution,[],[f2291,f1477]) ).
fof(f2293,plain,
( spl3_94
| ~ spl3_143 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2334,plain,
! [X0] :
( ~ incident(X0,p)
| ~ incident(X0,r)
| line_equal(p,r)
| point_equal(X0,d) ),
inference(resolution,[],[f222,f123]) ).
fof(f2339,definition,
( spl3_151
<=> line_equal(s,r) ),
introduced(definition,[new_symbols(definition,[spl3_151])],[avatar_definition]) ).
fof(f2340,plain,
( ~ line_equal(s,r)
| spl3_151 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2341,plain,
( line_equal(s,r)
| ~ spl3_151 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2382,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,r) )
| ~ spl3_151 ),
inference(resolution,[],[f2341,f91]) ).
fof(f2403,definition,
( spl3_156
<=> line_equal(p,q) ),
introduced(definition,[new_symbols(definition,[spl3_156])],[avatar_definition]) ).
fof(f2404,plain,
( ~ line_equal(p,q)
| spl3_156 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2405,plain,
( line_equal(p,q)
| ~ spl3_156 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2418,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,q) )
| ~ spl3_156 ),
inference(resolution,[],[f2405,f91]) ).
fof(f2420,plain,
( line_equal(q,p)
| ~ spl3_156 ),
inference(resolution,[],[f2405,f88]) ).
fof(f2422,plain,
( incident(d,q)
| ~ spl3_156 ),
inference(resolution,[],[f2418,f123]) ).
fof(f2423,plain,
( incident(f,q)
| ~ spl3_79
| ~ spl3_156 ),
inference(resolution,[],[f2418,f1137]) ).
fof(f2430,plain,
( $false
| spl3_67
| ~ spl3_79
| ~ spl3_156 ),
inference(forward_subsumption_resolution,[],[f2423,f984]) ).
fof(f2431,plain,
( spl3_67
| ~ spl3_79
| ~ spl3_156 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2432,plain,
( $false
| spl3_132
| ~ spl3_156 ),
inference(forward_subsumption_resolution,[],[f2422,f2065]) ).
fof(f2433,plain,
( spl3_132
| ~ spl3_156 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2451,definition,
( spl3_162
<=> incident(a,p) ),
introduced(definition,[new_symbols(definition,[spl3_162])],[avatar_definition]) ).
fof(f2452,plain,
( incident(a,p)
| ~ spl3_162 ),
inference(avatar_component_clause,[],[f2451]) ).
fof(f2453,plain,
( ~ incident(a,p)
| spl3_162 ),
inference(avatar_component_clause,[],[f2451]) ).
fof(f2549,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ colinear(X8,e,X10,X1)
| line_equal(X2,X3)
| line_equal(X4,X5)
| ~ colinear(X6,X7,X8,X9)
| colinear(X10,X11,X12,sK0(X10,X11,X12))
| ~ colinear(X7,f,X10,X0)
| line_equal(X0,X1)
| ~ colinear(X7,d,X11,X2)
| ~ colinear(X6,e,X11,X3)
| ~ colinear(X8,d,X12,X4)
| ~ colinear(X6,f,X12,X5) ),
inference(resolution,[],[f92,f66]) ).
fof(f2551,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ colinear(c,d,X8,X2)
| line_equal(X2,X3)
| ~ colinear(X4,X5,c,X6)
| colinear(g,X7,X8,sK0(g,X7,X8))
| ~ colinear(X5,f,g,X9)
| line_equal(X9,o)
| ~ colinear(X5,d,X7,X0)
| ~ colinear(X4,e,X7,X1)
| line_equal(X0,X1)
| ~ colinear(X4,f,X8,X3) ),
inference(resolution,[],[f2549,f68]) ).
fof(f2563,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ colinear(X2,f,g,X5)
| ~ colinear(X1,X2,c,X3)
| colinear(g,X4,i,sK0(g,X4,i))
| line_equal(r,X0)
| line_equal(X5,o)
| ~ colinear(X2,d,X4,X6)
| ~ colinear(X1,e,X4,X7)
| line_equal(X6,X7)
| ~ colinear(X1,f,i,X0) ),
inference(resolution,[],[f2551,f73]) ).
fof(f2573,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(h,sK1(X0,h)) ),
inference(resolution,[],[f153,f94]) ).
fof(f2574,plain,
! [X0] :
( incident(X0,sK1(X0,h))
| ~ point_equal(X0,X0) ),
inference(resolution,[],[f153,f95]) ).
fof(f2578,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(g,sK1(X0,g)) ),
inference(resolution,[],[f147,f94]) ).
fof(f2579,plain,
! [X0] :
( incident(X0,sK1(X0,g))
| ~ point_equal(X0,X0) ),
inference(resolution,[],[f147,f95]) ).
fof(f2581,plain,
! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,r)
| line_equal(s,r)
| point_equal(X0,i) ),
inference(resolution,[],[f221,f109]) ).
fof(f2583,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ colinear(X0,b,c,X1)
| colinear(g,X2,i,sK0(g,X2,i))
| line_equal(r,X3)
| line_equal(n,o)
| ~ colinear(b,d,X2,X4)
| ~ colinear(X0,e,X2,X5)
| line_equal(X4,X5)
| ~ colinear(X0,f,i,X3) ),
inference(resolution,[],[f2563,f69]) ).
fof(f2584,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ colinear(b,d,X2,X4)
| colinear(g,X2,i,sK0(g,X2,i))
| line_equal(r,X3)
| ~ colinear(X0,b,c,X1)
| ~ colinear(X0,e,X2,X5)
| line_equal(X4,X5)
| ~ colinear(X0,f,i,X3) )
| spl3_94 ),
inference(forward_subsumption_resolution,[],[f2583,f1477]) ).
fof(f2600,plain,
( incident(a,r)
| ~ spl3_151 ),
inference(resolution,[],[f2382,f111]) ).
fof(f2602,plain,
( incident(f,r)
| ~ spl3_151 ),
inference(resolution,[],[f2382,f110]) ).
fof(f2614,plain,
( point_equal(a,c)
| ~ incident(a,l)
| ~ spl3_36
| ~ spl3_151 ),
inference(resolution,[],[f2600,f611]) ).
fof(f2619,plain,
( point_equal(a,c)
| ~ spl3_36
| ~ spl3_151 ),
inference(forward_subsumption_resolution,[],[f2614,f164]) ).
fof(f2629,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(a,X0) )
| ~ spl3_36
| ~ spl3_151 ),
inference(resolution,[],[f2619,f90]) ).
fof(f2633,plain,
( incident(a,o)
| ~ spl3_36
| ~ spl3_151 ),
inference(resolution,[],[f2629,f127]) ).
fof(f2635,plain,
( $false
| ~ spl3_36
| spl3_77
| ~ spl3_151 ),
inference(forward_subsumption_resolution,[],[f2633,f1100]) ).
fof(f2636,plain,
( ~ spl3_36
| spl3_77
| ~ spl3_151 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2683,plain,
( ! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,s)
| line_equal(o,s)
| point_equal(X0,a) )
| ~ spl3_77 ),
inference(resolution,[],[f1099,f225]) ).
fof(f2693,definition,
( spl3_186
<=> ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,a)
| ~ incident(X0,s) ) ),
introduced(definition,[new_symbols(definition,[spl3_186])],[avatar_definition]) ).
fof(f2694,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,o) )
| ~ spl3_186 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f2695,plain,
( spl3_64
| spl3_186
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f2683,f1098,f2693,f962]) ).
fof(f2718,plain,
( point_equal(e,a)
| ~ spl3_78 ),
inference(resolution,[],[f1104,f85]) ).
fof(f2719,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(e,X0) )
| ~ spl3_78 ),
inference(resolution,[],[f2718,f90]) ).
fof(f2722,plain,
( incident(e,l)
| ~ spl3_78 ),
inference(resolution,[],[f2719,f164]) ).
fof(f2727,plain,
( $false
| ~ spl3_78 ),
inference(forward_subsumption_resolution,[],[f2722,f101]) ).
fof(f2728,plain,
~ spl3_78,
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2729,plain,
( spl3_76
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1017,f1005,f1093]) ).
fof(f2732,plain,
( point_equal(h,g)
| ~ incident(h,n)
| ~ spl3_76
| ~ spl3_144 ),
inference(resolution,[],[f1094,f2286]) ).
fof(f2738,plain,
( point_equal(h,g)
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(forward_subsumption_resolution,[],[f2732,f910]) ).
fof(f2769,plain,
( point_equal(g,h)
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(resolution,[],[f2738,f85]) ).
fof(f2842,plain,
( point_equal(f,a)
| ~ incident(f,o)
| ~ spl3_186 ),
inference(resolution,[],[f2694,f110]) ).
fof(f2862,definition,
( spl3_194
<=> incident(b,o) ),
introduced(definition,[new_symbols(definition,[spl3_194])],[avatar_definition]) ).
fof(f2863,plain,
( incident(b,o)
| ~ spl3_194 ),
inference(avatar_component_clause,[],[f2862]) ).
fof(f2888,plain,
( ! [X0] :
( ~ incident(h,X0)
| incident(g,X0) )
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(resolution,[],[f2769,f90]) ).
fof(f2922,plain,
( ! [X2,X3,X0,X1] :
( colinear(g,h,i,sK0(g,h,i))
| line_equal(r,X0)
| ~ colinear(X1,b,c,X2)
| ~ colinear(X1,e,h,X3)
| line_equal(p,X3)
| ~ colinear(X1,f,i,X0) )
| spl3_94 ),
inference(resolution,[],[f2584,f71]) ).
fof(f2924,definition,
( spl3_200
<=> ! [X0,X3,X2,X1] :
( line_equal(r,X0)
| ~ colinear(X1,b,c,X2)
| ~ colinear(X1,f,i,X0)
| line_equal(p,X3)
| ~ colinear(X1,e,h,X3) ) ),
introduced(definition,[new_symbols(definition,[spl3_200])],[avatar_definition]) ).
fof(f2925,plain,
( ! [X2,X3,X0,X1] :
( ~ colinear(X1,f,i,X0)
| ~ colinear(X1,b,c,X2)
| line_equal(r,X0)
| line_equal(p,X3)
| ~ colinear(X1,e,h,X3) )
| ~ spl3_200 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f2927,definition,
( spl3_201
<=> colinear(g,h,i,sK0(g,h,i)) ),
introduced(definition,[new_symbols(definition,[spl3_201])],[avatar_definition]) ).
fof(f2929,plain,
( colinear(g,h,i,sK0(g,h,i))
| ~ spl3_201 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f2930,plain,
( spl3_200
| spl3_201
| spl3_94 ),
inference(avatar_split_clause,[],[f2922,f1476,f2927,f2924]) ).
fof(f2932,plain,
( incident(i,sK0(g,h,i))
| ~ spl3_201 ),
inference(resolution,[],[f2929,f83]) ).
fof(f2933,plain,
( incident(h,sK0(g,h,i))
| ~ spl3_201 ),
inference(resolution,[],[f2929,f82]) ).
fof(f2934,plain,
( incident(g,sK0(g,h,i))
| ~ spl3_201 ),
inference(resolution,[],[f2929,f81]) ).
fof(f3004,plain,
( ! [X0,X1] :
( ~ colinear(a,b,c,X0)
| line_equal(r,s)
| line_equal(p,X1)
| ~ colinear(a,e,h,X1) )
| ~ spl3_200 ),
inference(resolution,[],[f2925,f72]) ).
fof(f3009,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,s) )
| ~ spl3_64 ),
inference(resolution,[],[f964,f91]) ).
fof(f3015,plain,
( incident(g,s)
| ~ spl3_64 ),
inference(resolution,[],[f3009,f125]) ).
fof(f3023,plain,
( $false
| spl3_1
| ~ spl3_64 ),
inference(forward_subsumption_resolution,[],[f3015,f116]) ).
fof(f3024,plain,
( spl3_1
| ~ spl3_64 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3601,plain,
incident(h,sK1(i,h)),
inference(resolution,[],[f2573,f159]) ).
fof(f3610,plain,
incident(g,sK1(i,g)),
inference(resolution,[],[f2578,f159]) ).
fof(f5811,plain,
( ~ point_equal(i,i)
| ~ incident(h,sK1(i,h))
| ~ incident(g,sK1(i,h)) ),
inference(resolution,[],[f2574,f99]) ).
fof(f5812,plain,
( ~ point_equal(i,i)
| ~ incident(h,sK1(i,h))
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(forward_subsumption_resolution,[],[f5811,f2888]) ).
fof(f5843,plain,
( ~ incident(h,sK1(i,h))
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(forward_subsumption_resolution,[],[f5812,f159]) ).
fof(f6036,plain,
( $false
| ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(forward_subsumption_resolution,[],[f5843,f3601]) ).
fof(f6037,plain,
( ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(avatar_contradiction_clause,[],[f6036]) ).
fof(f6043,plain,
( spl3_129
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f2208,f1476,f1926]) ).
fof(f6044,plain,
( ~ incident(f,m)
| ~ spl3_20
| ~ spl3_129
| spl3_130 ),
inference(forward_subsumption_resolution,[],[f1949,f1931]) ).
fof(f6046,plain,
( ~ incident(f,o)
| spl3_68
| ~ spl3_186 ),
inference(forward_subsumption_resolution,[],[f2842,f987]) ).
fof(f6073,plain,
( ~ incident(h,sK1(i,h))
| ~ incident(g,sK1(i,h)) ),
inference(forward_subsumption_resolution,[],[f5811,f159]) ).
fof(f6074,plain,
( $false
| ~ spl3_20
| ~ spl3_129
| spl3_130 ),
inference(forward_subsumption_resolution,[],[f6044,f189]) ).
fof(f6075,plain,
( ~ spl3_20
| ~ spl3_129
| spl3_130 ),
inference(avatar_contradiction_clause,[],[f6074]) ).
fof(f6076,plain,
( $false
| spl3_68
| ~ spl3_129
| ~ spl3_186 ),
inference(forward_subsumption_resolution,[],[f6046,f1927]) ).
fof(f6077,plain,
( spl3_68
| ~ spl3_129
| ~ spl3_186 ),
inference(avatar_contradiction_clause,[],[f6076]) ).
fof(f6142,plain,
~ incident(g,sK1(i,h)),
inference(forward_subsumption_resolution,[],[f6073,f3601]) ).
fof(f6162,definition,
( spl3_747
<=> line_equal(o,r) ),
introduced(definition,[new_symbols(definition,[spl3_747])],[avatar_definition]) ).
fof(f6164,plain,
( line_equal(o,r)
| ~ spl3_747 ),
inference(avatar_component_clause,[],[f6162]) ).
fof(f6171,plain,
( point_equal(c,d)
| ~ spl3_135 ),
inference(resolution,[],[f2166,f85]) ).
fof(f6172,plain,
( spl3_141
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f6171,f2164,f2267]) ).
fof(f6173,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(c,X0) )
| ~ spl3_141 ),
inference(resolution,[],[f2269,f90]) ).
fof(f6178,plain,
( point_equal(b,d)
| ~ spl3_86 ),
inference(resolution,[],[f1201,f85]) ).
fof(f6184,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(b,X0) )
| ~ spl3_86 ),
inference(resolution,[],[f6178,f90]) ).
fof(f6187,plain,
( incident(b,m)
| ~ spl3_86 ),
inference(resolution,[],[f6184,f191]) ).
fof(f6205,plain,
( $false
| ~ spl3_86 ),
inference(forward_subsumption_resolution,[],[f6187,f104]) ).
fof(f6206,plain,
~ spl3_86,
inference(avatar_contradiction_clause,[],[f6205]) ).
fof(f6248,plain,
( incident(c,m)
| ~ spl3_141 ),
inference(resolution,[],[f6173,f191]) ).
fof(f6268,plain,
( $false
| ~ spl3_141 ),
inference(forward_subsumption_resolution,[],[f6248,f103]) ).
fof(f6269,plain,
~ spl3_141,
inference(avatar_contradiction_clause,[],[f6268]) ).
fof(f6280,plain,
( point_equal(f,d)
| ~ incident(f,m)
| ~ spl3_32
| ~ spl3_151 ),
inference(resolution,[],[f2602,f541]) ).
fof(f6284,plain,
( point_equal(f,d)
| ~ spl3_32
| ~ spl3_151 ),
inference(forward_subsumption_resolution,[],[f6280,f189]) ).
fof(f6290,definition,
( spl3_753
<=> point_equal(f,d) ),
introduced(definition,[new_symbols(definition,[spl3_753])],[avatar_definition]) ).
fof(f6292,plain,
( point_equal(f,d)
| ~ spl3_753 ),
inference(avatar_component_clause,[],[f6290]) ).
fof(f6296,plain,
( spl3_753
| ~ spl3_32
| ~ spl3_151 ),
inference(avatar_split_clause,[],[f6284,f2339,f540,f6290]) ).
fof(f6300,plain,
( point_equal(d,f)
| ~ spl3_753 ),
inference(resolution,[],[f6292,f85]) ).
fof(f6301,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(d,X0) )
| ~ spl3_753 ),
inference(resolution,[],[f6300,f90]) ).
fof(f6305,plain,
( incident(d,n)
| ~ spl3_753 ),
inference(resolution,[],[f6301,f142]) ).
fof(f6323,plain,
( $false
| spl3_85
| ~ spl3_753 ),
inference(forward_subsumption_resolution,[],[f6305,f1197]) ).
fof(f6324,plain,
( spl3_85
| ~ spl3_753 ),
inference(avatar_contradiction_clause,[],[f6323]) ).
fof(f6325,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,r)
| point_equal(X0,i) )
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f2581,f2340]) ).
fof(f6532,plain,
( ~ point_equal(i,i)
| ~ incident(h,sK1(i,g))
| ~ incident(g,sK1(i,g)) ),
inference(resolution,[],[f2579,f99]) ).
fof(f6533,plain,
( ~ incident(h,sK1(i,g))
| ~ incident(g,sK1(i,g)) ),
inference(forward_subsumption_resolution,[],[f6532,f159]) ).
fof(f6559,plain,
~ incident(h,sK1(i,g)),
inference(forward_subsumption_resolution,[],[f6533,f3610]) ).
fof(f6894,plain,
( line_equal(s,r)
| ~ spl3_74 ),
inference(resolution,[],[f1083,f88]) ).
fof(f6895,plain,
( $false
| ~ spl3_74
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f6894,f2340]) ).
fof(f6896,plain,
( ~ spl3_74
| spl3_151 ),
inference(avatar_contradiction_clause,[],[f6895]) ).
fof(f6897,plain,
( ! [X0,X1] :
( ~ colinear(a,b,c,X0)
| line_equal(p,X1)
| ~ colinear(a,e,h,X1) )
| spl3_74
| ~ spl3_200 ),
inference(forward_subsumption_resolution,[],[f3004,f1082]) ).
fof(f6899,definition,
( spl3_835
<=> ! [X1] :
( line_equal(p,X1)
| ~ colinear(a,e,h,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_835])],[avatar_definition]) ).
fof(f6900,plain,
( ! [X1] :
( ~ colinear(a,e,h,X1)
| line_equal(p,X1) )
| ~ spl3_835 ),
inference(avatar_component_clause,[],[f6899]) ).
fof(f6902,definition,
( spl3_836
<=> ! [X0] : ~ colinear(a,b,c,X0) ),
introduced(definition,[new_symbols(definition,[spl3_836])],[avatar_definition]) ).
fof(f6903,plain,
( ! [X0] : ~ colinear(a,b,c,X0)
| ~ spl3_836 ),
inference(avatar_component_clause,[],[f6902]) ).
fof(f6917,plain,
( ~ incident(h,sK0(g,h,i))
| ~ incident(g,sK0(g,h,i))
| ~ spl3_201 ),
inference(resolution,[],[f2932,f99]) ).
fof(f6921,plain,
( ~ incident(g,sK0(g,h,i))
| ~ spl3_201 ),
inference(forward_subsumption_resolution,[],[f6917,f2933]) ).
fof(f6922,plain,
( $false
| ~ spl3_201 ),
inference(forward_subsumption_resolution,[],[f6921,f2934]) ).
fof(f6923,plain,
~ spl3_201,
inference(avatar_contradiction_clause,[],[f6922]) ).
fof(f6925,plain,
( spl3_835
| spl3_836
| spl3_74
| ~ spl3_200 ),
inference(avatar_split_clause,[],[f6897,f2924,f1081,f6902,f6899]) ).
fof(f6927,plain,
( line_equal(p,q)
| ~ spl3_835 ),
inference(resolution,[],[f6900,f70]) ).
fof(f6928,plain,
( $false
| spl3_156
| ~ spl3_835 ),
inference(forward_subsumption_resolution,[],[f6927,f2404]) ).
fof(f6929,plain,
( spl3_156
| ~ spl3_835 ),
inference(avatar_contradiction_clause,[],[f6928]) ).
fof(f6930,plain,
( $false
| ~ spl3_836 ),
inference(resolution,[],[f6903,f67]) ).
fof(f6931,plain,
~ spl3_836,
inference(avatar_contradiction_clause,[],[f6930]) ).
fof(f6932,plain,
( point_equal(d,e)
| ~ spl3_18
| ~ spl3_132 ),
inference(forward_subsumption_resolution,[],[f2083,f191]) ).
fof(f6964,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,p) )
| ~ spl3_156 ),
inference(resolution,[],[f2420,f91]) ).
fof(f6967,plain,
( incident(a,p)
| ~ spl3_156 ),
inference(resolution,[],[f6964,f108]) ).
fof(f6983,plain,
( $false
| ~ spl3_156
| spl3_162 ),
inference(forward_subsumption_resolution,[],[f6967,f2453]) ).
fof(f6984,plain,
( ~ spl3_156
| spl3_162 ),
inference(avatar_contradiction_clause,[],[f6983]) ).
fof(f7002,plain,
( point_equal(a,b)
| ~ incident(a,l)
| ~ spl3_46
| ~ spl3_162 ),
inference(resolution,[],[f2452,f706]) ).
fof(f7007,plain,
( point_equal(a,b)
| ~ spl3_46
| ~ spl3_162 ),
inference(forward_subsumption_resolution,[],[f7002,f164]) ).
fof(f7026,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(a,X0) )
| ~ spl3_46
| ~ spl3_162 ),
inference(resolution,[],[f7007,f90]) ).
fof(f7030,plain,
( incident(a,n)
| ~ spl3_46
| ~ spl3_162 ),
inference(resolution,[],[f7026,f143]) ).
fof(f7049,plain,
( $false
| ~ spl3_46
| spl3_62
| ~ spl3_162 ),
inference(forward_subsumption_resolution,[],[f7030,f920]) ).
fof(f7050,plain,
( ~ spl3_46
| spl3_62
| ~ spl3_162 ),
inference(avatar_contradiction_clause,[],[f7049]) ).
fof(f7065,plain,
( ~ incident(g,r)
| point_equal(g,i)
| ~ spl3_1
| spl3_151 ),
inference(resolution,[],[f115,f6325]) ).
fof(f7245,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(d,X0) )
| ~ spl3_18
| ~ spl3_132 ),
inference(resolution,[],[f6932,f90]) ).
fof(f7249,plain,
( incident(d,o)
| ~ spl3_18
| ~ spl3_132 ),
inference(resolution,[],[f7245,f126]) ).
fof(f7269,plain,
( $false
| ~ spl3_18
| ~ spl3_132
| spl3_134 ),
inference(forward_subsumption_resolution,[],[f7249,f2162]) ).
fof(f7270,plain,
( ~ spl3_18
| ~ spl3_132
| spl3_134 ),
inference(avatar_contradiction_clause,[],[f7269]) ).
fof(f7271,plain,
( spl3_747
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f1606,f1457,f6162]) ).
fof(f7300,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,r) )
| ~ spl3_747 ),
inference(resolution,[],[f6164,f91]) ).
fof(f7382,plain,
( incident(g,r)
| ~ spl3_747 ),
inference(resolution,[],[f7300,f125]) ).
fof(f7395,plain,
( $false
| spl3_3
| ~ spl3_747 ),
inference(forward_subsumption_resolution,[],[f7382,f135]) ).
fof(f7396,plain,
( spl3_3
| ~ spl3_747 ),
inference(avatar_contradiction_clause,[],[f7395]) ).
fof(f7397,plain,
( point_equal(g,i)
| ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f7065,f134]) ).
fof(f7407,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(g,X0) )
| ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(resolution,[],[f7397,f90]) ).
fof(f7421,plain,
( incident(g,sK1(i,h))
| ~ point_equal(i,i)
| ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(resolution,[],[f7407,f2574]) ).
fof(f7424,plain,
( ~ point_equal(i,i)
| ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f7421,f6142]) ).
fof(f7432,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f7424,f159]) ).
fof(f7433,plain,
( ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(avatar_contradiction_clause,[],[f7432]) ).
fof(f7464,plain,
( spl3_194
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f2206,f1476,f2862]) ).
fof(f7486,plain,
( ~ incident(h,r)
| point_equal(h,i)
| ~ spl3_2
| spl3_151 ),
inference(resolution,[],[f119,f6325]) ).
fof(f7503,definition,
( spl3_843
<=> line_equal(p,r) ),
introduced(definition,[new_symbols(definition,[spl3_843])],[avatar_definition]) ).
fof(f7504,plain,
( ~ line_equal(p,r)
| spl3_843 ),
inference(avatar_component_clause,[],[f7503]) ).
fof(f7505,plain,
( line_equal(p,r)
| ~ spl3_843 ),
inference(avatar_component_clause,[],[f7503]) ).
fof(f7570,plain,
( point_equal(b,c)
| ~ incident(b,l)
| ~ spl3_38
| ~ spl3_194 ),
inference(resolution,[],[f2863,f619]) ).
fof(f7575,plain,
( point_equal(b,c)
| ~ spl3_38
| ~ spl3_194 ),
inference(forward_subsumption_resolution,[],[f7570,f163]) ).
fof(f7959,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(b,X0) )
| ~ spl3_38
| ~ spl3_194 ),
inference(resolution,[],[f7575,f90]) ).
fof(f7965,plain,
( incident(b,r)
| ~ spl3_38
| ~ spl3_194 ),
inference(resolution,[],[f7959,f130]) ).
fof(f8003,plain,
( point_equal(b,d)
| ~ incident(b,p)
| ~ spl3_38
| ~ spl3_137
| ~ spl3_194 ),
inference(resolution,[],[f7965,f2244]) ).
fof(f8010,plain,
( point_equal(b,d)
| ~ spl3_38
| ~ spl3_137
| ~ spl3_194 ),
inference(forward_subsumption_resolution,[],[f8003,f124]) ).
fof(f8016,plain,
( point_equal(d,b)
| ~ spl3_38
| ~ spl3_137
| ~ spl3_194 ),
inference(resolution,[],[f8010,f85]) ).
fof(f8017,plain,
( $false
| ~ spl3_38
| spl3_86
| ~ spl3_137
| ~ spl3_194 ),
inference(forward_subsumption_resolution,[],[f8016,f1200]) ).
fof(f8018,plain,
( ~ spl3_38
| spl3_86
| ~ spl3_137
| ~ spl3_194 ),
inference(avatar_contradiction_clause,[],[f8017]) ).
fof(f8023,plain,
( ! [X0] :
( ~ incident(X0,p)
| ~ incident(X0,r)
| point_equal(X0,d) )
| spl3_843 ),
inference(forward_subsumption_resolution,[],[f2334,f7504]) ).
fof(f8024,plain,
( spl3_137
| spl3_843 ),
inference(avatar_split_clause,[],[f8023,f7503,f2243]) ).
fof(f8060,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,r) )
| ~ spl3_843 ),
inference(resolution,[],[f7505,f91]) ).
fof(f8121,plain,
( incident(h,r)
| ~ spl3_843 ),
inference(resolution,[],[f8060,f122]) ).
fof(f8133,plain,
( $false
| spl3_4
| ~ spl3_843 ),
inference(forward_subsumption_resolution,[],[f8121,f139]) ).
fof(f8134,plain,
( spl3_4
| ~ spl3_843 ),
inference(avatar_contradiction_clause,[],[f8133]) ).
fof(f8135,plain,
( point_equal(h,i)
| ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f7486,f138]) ).
fof(f8146,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(h,X0) )
| ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(resolution,[],[f8135,f90]) ).
fof(f8159,plain,
( incident(h,sK1(i,g))
| ~ point_equal(i,i)
| ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(resolution,[],[f8146,f2579]) ).
fof(f8163,plain,
( ~ point_equal(i,i)
| ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f8159,f6559]) ).
fof(f8172,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(forward_subsumption_resolution,[],[f8163,f159]) ).
fof(f8173,plain,
( ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(avatar_contradiction_clause,[],[f8172]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( spl3_17
| spl3_18 ),
inference(sat_conversion,[],[f381]) ).
cnf(s12,plain,
( spl3_19
| spl3_20 ),
inference(sat_conversion,[],[f389]) ).
cnf(s13,plain,
~ spl3_19,
inference(sat_conversion,[],[f417]) ).
cnf(s14,plain,
~ spl3_17,
inference(sat_conversion,[],[f423]) ).
cnf(s23,plain,
( spl3_31
| spl3_32 ),
inference(sat_conversion,[],[f542]) ).
cnf(s27,plain,
~ spl3_31,
inference(sat_conversion,[],[f586]) ).
cnf(s29,plain,
( spl3_35
| spl3_36 ),
inference(sat_conversion,[],[f612]) ).
cnf(s30,plain,
( spl3_37
| spl3_38 ),
inference(sat_conversion,[],[f620]) ).
cnf(s31,plain,
~ spl3_35,
inference(sat_conversion,[],[f649]) ).
cnf(s33,plain,
~ spl3_37,
inference(sat_conversion,[],[f658]) ).
cnf(s37,plain,
( spl3_45
| spl3_46 ),
inference(sat_conversion,[],[f707]) ).
cnf(s39,plain,
~ spl3_45,
inference(sat_conversion,[],[f744]) ).
cnf(s45,plain,
( spl3_53
| spl3_54 ),
inference(sat_conversion,[],[f795]) ).
cnf(s46,plain,
( spl3_1
| ~ spl3_53 ),
inference(sat_conversion,[],[f805]) ).
cnf(s47,plain,
( spl3_55
| spl3_56 ),
inference(sat_conversion,[],[f874]) ).
cnf(s49,plain,
( spl3_2
| ~ spl3_55 ),
inference(sat_conversion,[],[f892]) ).
cnf(s52,plain,
( ~ spl3_54
| ~ spl3_62
| spl3_63 ),
inference(sat_conversion,[],[f925]) ).
cnf(s55,plain,
( ~ spl3_56
| ~ spl3_67
| spl3_68 ),
inference(sat_conversion,[],[f989]) ).
cnf(s58,plain,
( spl3_70
| spl3_71 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s62,plain,
( ~ spl3_71
| ~ spl3_77
| spl3_78 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s63,plain,
( spl3_79
| spl3_80 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s64,plain,
( spl3_60
| ~ spl3_79 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s68,plain,
( ~ spl3_80
| ~ spl3_85
| spl3_86 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s122,plain,
( spl3_92
| spl3_128 ),
inference(sat_conversion,[],[f1923]) ).
cnf(s126,plain,
( spl3_63
| ~ spl3_68 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s134,plain,
~ spl3_63,
inference(sat_conversion,[],[f2032]) ).
cnf(s150,plain,
( ~ spl3_128
| ~ spl3_134
| spl3_135 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s151,plain,
( ~ spl3_56
| spl3_78
| ~ spl3_130 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s161,plain,
( spl3_143
| spl3_144 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s162,plain,
( spl3_94
| ~ spl3_143 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s173,plain,
( spl3_67
| ~ spl3_79
| ~ spl3_156 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s174,plain,
( spl3_132
| ~ spl3_156 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s188,plain,
( ~ spl3_36
| spl3_77
| ~ spl3_151 ),
inference(sat_conversion,[],[f2636]) ).
cnf(s194,plain,
( spl3_64
| ~ spl3_77
| spl3_186 ),
inference(sat_conversion,[],[f2695]) ).
cnf(s196,plain,
~ spl3_78,
inference(sat_conversion,[],[f2728]) ).
cnf(s197,plain,
( ~ spl3_70
| spl3_76 ),
inference(sat_conversion,[],[f2729]) ).
cnf(s209,plain,
( spl3_94
| spl3_200
| spl3_201 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s219,plain,
( spl3_1
| ~ spl3_64 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s502,plain,
( ~ spl3_60
| ~ spl3_76
| ~ spl3_144 ),
inference(sat_conversion,[],[f6037]) ).
cnf(s506,plain,
( ~ spl3_94
| spl3_129 ),
inference(sat_conversion,[],[f6043]) ).
cnf(s509,plain,
( ~ spl3_20
| ~ spl3_129
| spl3_130 ),
inference(sat_conversion,[],[f6075]) ).
cnf(s510,plain,
( spl3_68
| ~ spl3_129
| ~ spl3_186 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s522,plain,
( ~ spl3_135
| spl3_141 ),
inference(sat_conversion,[],[f6172]) ).
cnf(s524,plain,
~ spl3_86,
inference(sat_conversion,[],[f6206]) ).
cnf(s530,plain,
~ spl3_141,
inference(sat_conversion,[],[f6269]) ).
cnf(s532,plain,
( ~ spl3_32
| ~ spl3_151
| spl3_753 ),
inference(sat_conversion,[],[f6296]) ).
cnf(s534,plain,
( spl3_85
| ~ spl3_753 ),
inference(sat_conversion,[],[f6324]) ).
cnf(s591,plain,
( ~ spl3_74
| spl3_151 ),
inference(sat_conversion,[],[f6896]) ).
cnf(s593,plain,
~ spl3_201,
inference(sat_conversion,[],[f6923]) ).
cnf(s594,plain,
( spl3_74
| ~ spl3_200
| spl3_835
| spl3_836 ),
inference(sat_conversion,[],[f6925]) ).
cnf(s595,plain,
( spl3_156
| ~ spl3_835 ),
inference(sat_conversion,[],[f6929]) ).
cnf(s596,plain,
~ spl3_836,
inference(sat_conversion,[],[f6931]) ).
cnf(s598,plain,
( ~ spl3_156
| spl3_162 ),
inference(sat_conversion,[],[f6984]) ).
cnf(s606,plain,
( ~ spl3_46
| spl3_62
| ~ spl3_162 ),
inference(sat_conversion,[],[f7050]) ).
cnf(s627,plain,
( ~ spl3_18
| ~ spl3_132
| spl3_134 ),
inference(sat_conversion,[],[f7270]) ).
cnf(s628,plain,
( ~ spl3_92
| spl3_747 ),
inference(sat_conversion,[],[f7271]) ).
cnf(s633,plain,
( spl3_3
| ~ spl3_747 ),
inference(sat_conversion,[],[f7396]) ).
cnf(s635,plain,
( ~ spl3_1
| ~ spl3_3
| spl3_151 ),
inference(sat_conversion,[],[f7433]) ).
cnf(s660,plain,
( ~ spl3_94
| spl3_194 ),
inference(sat_conversion,[],[f7464]) ).
cnf(s710,plain,
( ~ spl3_38
| spl3_86
| ~ spl3_137
| ~ spl3_194 ),
inference(sat_conversion,[],[f8018]) ).
cnf(s715,plain,
( spl3_137
| spl3_843 ),
inference(sat_conversion,[],[f8024]) ).
cnf(s716,plain,
( spl3_4
| ~ spl3_843 ),
inference(sat_conversion,[],[f8134]) ).
cnf(s718,plain,
( ~ spl3_2
| ~ spl3_4
| spl3_151 ),
inference(sat_conversion,[],[f8173]) ).
cnf(s725,plain,
( spl3_74
| ~ spl3_200
| spl3_835 ),
inference(rat,[],[s594,s596]) ).
cnf(s727,plain,
~ spl3_135,
inference(rat,[],[s522,s530]) ).
cnf(s731,plain,
( spl3_94
| spl3_200 ),
inference(rat,[],[s209,s593]) ).
cnf(s734,plain,
( ~ spl3_56
| ~ spl3_130 ),
inference(rat,[],[s151,s196]) ).
cnf(s735,plain,
( ~ spl3_128
| ~ spl3_134 ),
inference(rat,[],[s150,s727]) ).
cnf(s737,plain,
~ spl3_68,
inference(rat,[],[s126,s134]) ).
cnf(s738,plain,
( ~ spl3_80
| ~ spl3_85 ),
inference(rat,[],[s68,s524]) ).
cnf(s739,plain,
( ~ spl3_71
| ~ spl3_77 ),
inference(rat,[],[s62,s196]) ).
cnf(s740,plain,
( ~ spl3_56
| ~ spl3_67 ),
inference(rat,[],[s55,s737]) ).
cnf(s741,plain,
( ~ spl3_54
| ~ spl3_62 ),
inference(rat,[],[s52,s134]) ).
cnf(s743,plain,
spl3_46,
inference(rat,[],[s37,s39]) ).
cnf(s744,plain,
spl3_38,
inference(rat,[],[s30,s33]) ).
cnf(s745,plain,
spl3_36,
inference(rat,[],[s29,s31]) ).
cnf(s747,plain,
spl3_32,
inference(rat,[],[s23,s27]) ).
cnf(s750,plain,
spl3_20,
inference(rat,[],[s12,s13]) ).
cnf(s751,plain,
spl3_18,
inference(rat,[],[s11,s14]) ).
cnf(s754,plain,
( spl3_94
| spl3_835 ),
inference(rat,[],[s502,s64,s197,s63,s58,s738,s739,s534,s188,s532,s591,s161,s725,s162,s731,s745,s747]) ).
cnf(s755,plain,
spl3_1,
inference(rat,[],[s49,s718,s47,s188,s716,s734,s194,s715,s509,s510,s710,s506,s660,s754,s595,s598,s606,s741,s45,s46,s219,s745,s750,s737,s524,s744,s743]) ).
cnf(s756,plain,
~ spl3_2,
inference(rat,[],[s1,s755]) ).
cnf(s759,plain,
~ spl3_55,
inference(rat,[],[s49,s756]) ).
cnf(s762,plain,
spl3_56,
inference(rat,[],[s47,s759]) ).
cnf(s763,plain,
~ spl3_130,
inference(rat,[],[s734,s762]) ).
cnf(s764,plain,
~ spl3_67,
inference(rat,[],[s740,s762]) ).
cnf(s765,plain,
~ spl3_129,
inference(rat,[],[s509,s750,s763]) ).
cnf(s766,plain,
~ spl3_94,
inference(rat,[],[s506,s765]) ).
cnf(s769,plain,
spl3_835,
inference(rat,[],[s754,s766]) ).
cnf(s771,plain,
spl3_156,
inference(rat,[],[s595,s769]) ).
cnf(s780,plain,
spl3_132,
inference(rat,[],[s174,s771]) ).
cnf(s781,plain,
~ spl3_79,
inference(rat,[],[s173,s764,s771]) ).
cnf(s785,plain,
spl3_134,
inference(rat,[],[s627,s751,s780]) ).
cnf(s787,plain,
spl3_80,
inference(rat,[],[s63,s781]) ).
cnf(s789,plain,
~ spl3_128,
inference(rat,[],[s735,s785]) ).
cnf(s791,plain,
~ spl3_85,
inference(rat,[],[s738,s787]) ).
cnf(s794,plain,
spl3_92,
inference(rat,[],[s122,s789]) ).
cnf(s796,plain,
~ spl3_753,
inference(rat,[],[s534,s791]) ).
cnf(s806,plain,
spl3_747,
inference(rat,[],[s628,s794]) ).
cnf(s808,plain,
~ spl3_151,
inference(rat,[],[s532,s747,s796]) ).
cnf(s809,plain,
spl3_3,
inference(rat,[],[s633,s806]) ).
cnf(s818,plain,
$false,
inference(rat,[],[s635,s755,s808,s809]) ).
fof(f8183,plain,
$false,
inference(avatar_sat_refutation,[],[s818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO168+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:23:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.17/3.30 % (1313119)Detected formulas, will run a generic FOF schedule.
% 17.17/3.30 % (1313156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=899864910:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 17.17/3.30 % (1313156)Instruction limit reached!
% 17.17/3.30 % (1313156)------------------------------
% 17.17/3.30 % (1313156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/3.30 % (1313156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/3.30 % (1313156)CaDiCaL version: 2.1.3
% 17.17/3.30 % (1313156)Termination reason: Instruction limit
% 17.17/3.30 % (1313156)Termination phase: Saturation
% 17.17/3.30 % (1313156)Time elapsed: 0.052 s
% 17.17/3.30 % (1313156)Peak memory usage: 89 MB
% 17.17/3.30 % (1313156)Instructions burned: 143 (million)
% 17.17/3.30 % (1313152)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=630900696:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 17.17/3.30 % (1313155)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1668089761:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 17.17/3.30 % (1313154)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1712929646:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 17.17/3.30 % (1313153)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=895274000:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 17.17/3.30 % (1313151)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=3411996302:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 17.17/3.30 % (1313155)Refutation not found, incomplete strategy
% 17.17/3.30 % (1313155)------------------------------
% 17.17/3.30 % (1313155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/3.30 % (1313154)Refutation not found, incomplete strategy
% 17.17/3.30 % (1313154)------------------------------
% 17.17/3.30 % (1313154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/3.30 % (1313155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/3.30 % (1313155)CaDiCaL version: 2.1.3
% 17.17/3.30 % (1313154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/3.30 % (1313154)CaDiCaL version: 2.1.3
% 17.17/3.30 % (1313155)Termination reason: Refutation not found, incomplete strategy
% 17.17/3.30 % (1313155)Time elapsed: 0.001 s
% 17.17/3.30 % (1313155)Peak memory usage: 86 MB
% 17.17/3.30 % (1313154)Termination reason: Refutation not found, incomplete strategy
% 17.17/3.30 % (1313154)Time elapsed: 0.001 s
% 17.17/3.30 % (1313154)Peak memory usage: 86 MB
% 17.17/3.30 % (1313157)dis-21_1_sil=8000:lcm=predicate:random_seed=228635791:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 17.17/3.30 % (1313157)Instruction limit reached!
% 17.17/3.30 % (1313157)------------------------------
% 17.17/3.30 % (1313157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/3.30 % (1313157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/3.30 % (1313157)CaDiCaL version: 2.1.3
% 17.17/3.30 % (1313157)Termination reason: Instruction limit
% 17.17/3.30 % (1313157)Termination phase: Saturation
% 17.17/3.30 % (1313157)Time elapsed: 0.107 s
% 17.17/3.30 % (1313157)Peak memory usage: 89 MB
% 17.17/3.30 % (1313157)Instructions burned: 130 (million)
% 17.17/3.30 % (1313162)lrs+10_1_sil=8000:sp=occurrence:random_seed=2494808889:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.17/3.30 % (1313162)Refutation not found, incomplete strategy
% 17.17/3.30 % (1313162)------------------------------
% 17.17/3.30 % (1313162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.17/3.30 % (1313162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/3.30 % (1313162)CaDiCaL version: 2.1.3
% 17.17/3.30 % (1313162)Termination reason: Refutation not found, incomplete strategy
% 17.17/3.30 % (1313162)Time elapsed: 0.002 s
% 17.17/3.30 % (1313162)Peak memory usage: 88 MB
% 17.17/3.30 % (1313162)Instructions burned: 1 (million)
% 17.17/3.30 % (1313155)------------------------------
% 17.17/3.30 % (1313155)------------------------------
% 17.17/3.30 % (1313154)------------------------------
% 17.69/3.37 % (1313154)------------------------------
% 17.69/3.37 % (1313162)------------------------------
% 17.69/3.37 % (1313162)------------------------------
% 17.69/3.37 % (1313172)lrs+10_1_sil=32000:urr=on:br=off:random_seed=95130413:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.69/3.37 % (1313172)Refutation not found, incomplete strategy
% 17.69/3.37 % (1313172)------------------------------
% 17.69/3.37 % (1313172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313172)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313172)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.37 % (1313172)Time elapsed: 0.001 s
% 17.69/3.37 % (1313172)Peak memory usage: 87 MB
% 17.69/3.37 % (1313176)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3083021717:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 17.69/3.37 % (1313176)Refutation not found, incomplete strategy
% 17.69/3.37 % (1313176)------------------------------
% 17.69/3.37 % (1313176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313176)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313176)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.37 % (1313176)Time elapsed: 0.001 s
% 17.69/3.37 % (1313176)Peak memory usage: 87 MB
% 17.69/3.37 % (1313179)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=117255260:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.69/3.37 % (1313179)Refutation not found, incomplete strategy
% 17.69/3.37 % (1313179)------------------------------
% 17.69/3.37 % (1313179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313179)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313179)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.37 % (1313179)Time elapsed: 0.001 s
% 17.69/3.37 % (1313179)Peak memory usage: 87 MB
% 17.69/3.37 % (1313177)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=736209189:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 17.69/3.37 % (1313172)------------------------------
% 17.69/3.37 % (1313172)------------------------------
% 17.69/3.37 % (1313177)Instruction limit reached!
% 17.69/3.37 % (1313177)------------------------------
% 17.69/3.37 % (1313177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313177)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313177)Termination reason: Instruction limit
% 17.69/3.37 % (1313177)Termination phase: Saturation
% 17.69/3.37 % (1313177)Time elapsed: 0.219 s
% 17.69/3.37 % (1313177)Peak memory usage: 90 MB
% 17.69/3.37 % (1313177)Instructions burned: 248 (million)
% 17.69/3.37 % (1313179)------------------------------
% 17.69/3.37 % (1313179)------------------------------
% 17.69/3.37 % (1313176)------------------------------
% 17.69/3.37 % (1313176)------------------------------
% 17.69/3.37 % (1313189)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2187160144:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 17.69/3.37 % (1313187)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1458958891:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 17.69/3.37 % (1313188)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1060557941:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 17.69/3.37 % (1313189)Instruction limit reached!
% 17.69/3.37 % (1313189)------------------------------
% 17.69/3.37 % (1313189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313189)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313189)Termination reason: Instruction limit
% 17.69/3.37 % (1313189)Termination phase: Saturation
% 17.69/3.37 % (1313189)Time elapsed: 0.060 s
% 17.69/3.37 % (1313189)Peak memory usage: 88 MB
% 17.69/3.37 % (1313189)Instructions burned: 129 (million)
% 17.69/3.37 % (1313188)Instruction limit reached!
% 17.69/3.37 % (1313188)------------------------------
% 17.69/3.37 % (1313188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313188)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313188)Termination reason: Instruction limit
% 17.69/3.37 % (1313188)Termination phase: Saturation
% 17.69/3.37 % (1313188)Time elapsed: 0.105 s
% 17.69/3.37 % (1313188)Peak memory usage: 88 MB
% 17.69/3.37 % (1313188)Instructions burned: 113 (million)
% 17.69/3.37 % (1313192)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2317757283:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 17.69/3.37 % (1313192)Refutation not found, incomplete strategy
% 17.69/3.37 % (1313192)------------------------------
% 17.69/3.37 % (1313192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313192)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313192)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.37 % (1313192)Time elapsed: 0.010 s
% 17.69/3.37 % (1313192)Peak memory usage: 88 MB
% 17.69/3.37 % (1313192)Instructions burned: 7 (million)
% 17.69/3.37 % (1313198)lrs+10_1_sil=8000:sp=occurrence:random_seed=1634846293:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 17.69/3.37 % (1313199)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2590893:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 17.69/3.37 % (1313199)Refutation not found, incomplete strategy
% 17.69/3.37 % (1313199)------------------------------
% 17.69/3.37 % (1313199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313199)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313199)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.37 % (1313199)Time elapsed: 0.003 s
% 17.69/3.37 % (1313199)Peak memory usage: 88 MB
% 17.69/3.37 % (1313199)Instructions burned: 1 (million)
% 17.69/3.37 % (1313192)------------------------------
% 17.69/3.37 % (1313192)------------------------------
% 17.69/3.37 % (1313198)Instruction limit reached!
% 17.69/3.37 % (1313198)------------------------------
% 17.69/3.37 % (1313198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.37 % (1313198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.37 % (1313198)CaDiCaL version: 2.1.3
% 17.69/3.37 % (1313198)Termination reason: Instruction limit
% 17.69/3.37 % (1313198)Termination phase: Saturation
% 17.69/3.37 % (1313198)Time elapsed: 0.483 s
% 17.69/3.37 % (1313198)Peak memory usage: 99 MB
% 17.69/3.37 % (1313198)Instructions burned: 908 (million)
% 17.69/3.37 % (1313151)First to succeed.
% 17.69/3.37 % (1313151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1313119"
% 17.69/3.37 % (1313199)------------------------------
% 17.69/3.37 % (1313199)------------------------------
% 17.69/3.37 % (1313205)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2717492736:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 17.69/3.37 % (1313206)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2559471127:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 17.69/3.37 % (1313206)Instruction limit reached!
% 17.69/3.38 % (1313206)------------------------------
% 17.69/3.38 % (1313206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.38 % (1313206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.38 % (1313206)CaDiCaL version: 2.1.3
% 17.69/3.38 % (1313206)Termination reason: Instruction limit
% 17.69/3.38 % (1313206)Termination phase: Saturation
% 17.69/3.38 % (1313206)Time elapsed: 0.061 s
% 17.69/3.38 % (1313206)Peak memory usage: 89 MB
% 17.69/3.38 % (1313206)Instructions burned: 134 (million)
% 17.69/3.38 % (1313207)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3739498302:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 17.69/3.38 % (1313207)Refutation not found, incomplete strategy
% 17.69/3.38 % (1313207)------------------------------
% 17.69/3.38 % (1313207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.38 % (1313207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.38 % (1313207)CaDiCaL version: 2.1.3
% 17.69/3.38 % (1313207)Termination reason: Refutation not found, incomplete strategy
% 17.69/3.38 % (1313207)Time elapsed: 0.003 s
% 17.69/3.38 % (1313207)Peak memory usage: 88 MB
% 17.69/3.38 % (1313207)Instructions burned: 1 (million)
% 17.69/3.38 % (1313151)Refutation found. Thanks to Tanya!
% 17.69/3.38 % SZS status Theorem for theBenchmark
% 17.69/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.61 % (1313151)------------------------------
% 0.17/3.61 % (1313151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.61 % (1313151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.61 % (1313151)CaDiCaL version: 2.1.3
% 0.17/3.61 % (1313151)Termination reason: Refutation
% 0.17/3.61 % (1313151)Time elapsed: 1.876 s
% 0.17/3.61 % (1313151)Peak memory usage: 137 MB
% 0.17/3.61 % (1313151)Instructions burned: 1656 (million)
% 0.17/3.61 % (1313151)------------------------------
% 0.17/3.61 % (1313151)------------------------------
% 0.17/3.61 % (1313119)Success in time 2.581 s
% 0.17/3.61 % Vampire exiting
%------------------------------------------------------------------------------