%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO167+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 01:20:03 PM UTC 2026
% Result : Theorem 200.89s 39.23s
% Output : CNFRefutation 200.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 24
% Syntax : Number of formulae : 1122 ( 164 unt; 0 def)
% Number of atoms : 3594 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 4556 (2084 ~;2418 |; 34 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 974 ( 1 sgn 963 !; 11 ?; 721 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( colinear(d,e,f,m)
& colinear(a,b,c,l) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption1) ).
fof(f2,axiom,
( colinear(c,e,g,o)
& colinear(b,f,g,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption2) ).
fof(f3,axiom,
( colinear(a,e,h,q)
& colinear(b,d,h,p) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption3) ).
fof(f4,axiom,
( colinear(a,f,i,s)
& colinear(c,d,i,r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption4) ).
fof(f5,axiom,
( line_equal(n,o)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal1) ).
fof(f6,axiom,
( line_equal(p,q)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal2) ).
fof(f7,axiom,
( line_equal(s,r)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal3) ).
fof(f8,axiom,
! [X0] :
( ( incident(i,X0)
& incident(h,X0)
& incident(g,X0)
& line_equal(X0,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal4) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(f12,axiom,
! [X0,X1] :
( incident(X0,X1)
=> point_equal(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(f13,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( point_equal(X1,X2)
& point_equal(X0,X1) )
=> point_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(f15,axiom,
! [X0,X1] :
( incident(X0,X1)
=> line_equal(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(f16,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& line_equal(X0,X1) )
=> line_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( colinear(X0,X5,X8,X16)
& colinear(X2,X3,X8,X15)
& colinear(X0,X4,X7,X14)
& colinear(X1,X3,X7,X13)
& colinear(X2,X4,X6,X12)
& colinear(X1,X5,X6,X11)
& colinear(X3,X4,X5,X10)
& colinear(X0,X1,X2,X9) )
=> ( incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pappus1) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( incident(X3,X1)
& incident(X3,X0)
& incident(X2,X1)
& incident(X2,X0) )
=> ( line_equal(X0,X1)
| point_equal(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
fof(f22,axiom,
! [X0,X1] :
( ( point_equal(X1,X1)
& point_equal(X0,X0) )
=> ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',line) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X1)
& line_equal(X2,X2) )
=> ? [X0] :
( incident(X0,X2)
& incident(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',point) ).
fof(f24,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f25,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X1,X2] :
( ( line_equal(X1,X1)
& line_equal(X2,X2) )
=> ? [X3] :
( incident(X3,X2)
& incident(X3,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f27,plain,
~ goal,
inference(flattening,[],[f25]) ).
fof(f28,plain,
( ~ line_equal(n,o)
| goal ),
inference(ennf_transformation,[],[f5]) ).
fof(f29,plain,
( ~ line_equal(p,q)
| goal ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
( ~ line_equal(s,r)
| goal ),
inference(ennf_transformation,[],[f7]) ).
fof(f31,plain,
! [X0] :
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0)
| goal ),
inference(ennf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0] :
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0)
| goal ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
! [X0,X1] :
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ point_equal(X1,X2)
| ~ point_equal(X0,X1)
| point_equal(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ point_equal(X1,X2)
| ~ point_equal(X0,X1)
| point_equal(X0,X2) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f41,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ line_equal(X1,X2)
| ~ line_equal(X0,X1)
| line_equal(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ line_equal(X1,X2)
| ~ line_equal(X0,X1)
| line_equal(X0,X2) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ incident(X1,X2)
| ~ point_equal(X0,X1)
| incident(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ incident(X1,X2)
| ~ point_equal(X0,X1)
| incident(X0,X2) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ line_equal(X1,X2)
| ~ incident(X0,X1)
| incident(X0,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ line_equal(X1,X2)
| ~ incident(X0,X1)
| incident(X0,X2) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9)
| incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17) ),
inference(ennf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9)
| incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0)
| line_equal(X0,X1)
| point_equal(X2,X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0)
| line_equal(X0,X1)
| point_equal(X2,X3) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X1,X2] :
( ~ line_equal(X1,X1)
| ~ line_equal(X2,X2)
| ? [X3] :
( incident(X3,X2)
& incident(X3,X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f55,plain,
! [X1,X2] :
( ~ line_equal(X1,X1)
| ~ line_equal(X2,X2)
| ? [X3] :
( incident(X3,X2)
& incident(X3,X1) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9)
| incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| colinear(X6,X7,X8,sK0(X6,X7,X8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X17,sK0(X6,X7,X8))],[f49]) ).
fof(f57,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| ( incident(X1,sK1(X0,X1))
& incident(X0,sK1(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f53]) ).
fof(f58,plain,
! [X0,X1] :
( ~ line_equal(X0,X0)
| ~ line_equal(X1,X1)
| ? [X2] :
( incident(X2,X1)
& incident(X2,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f59,plain,
! [X0,X1] :
( ~ line_equal(X0,X0)
| ~ line_equal(X1,X1)
| ( incident(sK2(X0,X1),X1)
& incident(sK2(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f58]) ).
fof(f60,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f2]) ).
fof(f63,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
( ~ line_equal(n,o)
| goal ),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
( ~ line_equal(p,q)
| goal ),
inference(cnf_transformation,[],[f29]) ).
fof(f70,plain,
( ~ line_equal(s,r)
| goal ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
! [X0] :
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0)
| goal ),
inference(cnf_transformation,[],[f32]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
! [X0,X1] :
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ point_equal(X1,X2)
| ~ point_equal(X0,X1)
| point_equal(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f78,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| ~ line_equal(X0,X1)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ incident(X1,X2)
| ~ point_equal(X0,X1)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| ~ incident(X0,X1)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f83,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9)
| incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| colinear(X6,X7,X8,sK0(X6,X7,X8)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0)
| line_equal(X0,X1)
| point_equal(X2,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f85,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| incident(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
! [X0,X1] :
( ~ point_equal(X1,X1)
| ~ point_equal(X0,X0)
| incident(X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f87,plain,
! [X0,X1] :
( ~ line_equal(X0,X0)
| ~ line_equal(X1,X1)
| incident(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f88,plain,
! [X0,X1] :
( ~ line_equal(X0,X0)
| ~ line_equal(X1,X1)
| incident(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f89,plain,
~ goal,
inference(cnf_transformation,[],[f27]) ).
tcf(c_49,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f61]) ).
tcf(c_50,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f60]) ).
tcf(c_51,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f63]) ).
tcf(c_52,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f62]) ).
tcf(c_53,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f65]) ).
tcf(c_54,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f64]) ).
tcf(c_55,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f67]) ).
tcf(c_56,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f66]) ).
tcf(c_57,plain,
( goal
| ~ line_equal(n,o) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_58,plain,
( goal
| ~ line_equal(p,q) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_59,plain,
( goal
| ~ line_equal(s,r) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_60,plain,
! [X0: $i] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident(X2,X1)
| ~ point_equal(X2,X0)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident(X2,X1)
| ~ incident(X2,X0)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( incident(X10,X3)
| incident(X7,X3)
| incident(X4,X3)
| incident(X2,X11)
| incident(X1,X11)
| incident(X0,X11)
| colinear(X13,X5,X8,sK0(X13,X5,X8))
| ~ colinear(X10,X4,X7,X11)
| ~ colinear(X2,X10,X8,X15)
| ~ colinear(X2,X4,X13,X16)
| ~ colinear(X1,X10,X5,X12)
| ~ colinear(X1,X7,X13,X14)
| ~ colinear(X0,X7,X8,X9)
| ~ colinear(X0,X4,X5,X6)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( point_equal(X3,X0)
| line_equal(X1,X2)
| ~ incident(X3,X2)
| ~ incident(X3,X1)
| ~ incident(X0,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( incident(X0,sK1(X0,X1))
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( incident(X1,sK1(X0,X1))
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( incident(sK2(X0,X1),X0)
| ~ line_equal(X1,X1)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( incident(sK2(X0,X1),X1)
| ~ line_equal(X1,X1)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_78,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f89]) ).
tcf(c_91,plain,
! [X0: $i] :
( ~ line_equal(X0,X0)
| ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_78,c_60]) ).
tcf(c_92,plain,
! [X0: $i] :
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_94,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_92]) ).
tcf(c_98,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,X1_iProver_line_equal_1),X1_iProver_line_equal_1)
| ~ line_equal(X1_iProver_line_equal_1,X1_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_99,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,X1_iProver_line_equal_1),X0_iProver_line_equal_1)
| ~ line_equal(X1_iProver_line_equal_1,X1_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_100,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X1_iProver_incident_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1))
| ~ point_equal(X1_iProver_incident_1,X1_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_101,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1))
| ~ point_equal(X1_iProver_incident_1,X1_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_102,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,X1_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1)
| ~ incident(X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X1_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_103,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_incident_1: iProver_incident_1,X4_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_incident_1: iProver_incident_1,X5_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_incident_1: iProver_incident_1,X6_iProver_line_equal_1: iProver_line_equal_1,X6_iProver_incident_1: iProver_incident_1,X7_iProver_line_equal_1: iProver_line_equal_1,X7_iProver_incident_1: iProver_incident_1,X8_iProver_incident_1: iProver_incident_1] :
( incident(X8_iProver_incident_1,X0_iProver_line_equal_1)
| incident(X5_iProver_incident_1,X0_iProver_line_equal_1)
| incident(X3_iProver_incident_1,X0_iProver_line_equal_1)
| incident(X2_iProver_incident_1,X7_iProver_line_equal_1)
| incident(X1_iProver_incident_1,X7_iProver_line_equal_1)
| incident(X0_iProver_incident_1,X7_iProver_line_equal_1)
| colinear(X7_iProver_incident_1,X4_iProver_incident_1,X6_iProver_incident_1,sK0(X7_iProver_incident_1,X4_iProver_incident_1,X6_iProver_incident_1))
| ~ colinear(X8_iProver_incident_1,X3_iProver_incident_1,X5_iProver_incident_1,X7_iProver_line_equal_1)
| ~ colinear(X2_iProver_incident_1,X8_iProver_incident_1,X6_iProver_incident_1,X6_iProver_line_equal_1)
| ~ colinear(X2_iProver_incident_1,X3_iProver_incident_1,X7_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(X1_iProver_incident_1,X8_iProver_incident_1,X4_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(X1_iProver_incident_1,X5_iProver_incident_1,X7_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X5_iProver_incident_1,X6_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_104,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(X0_iProver_incident_1,X1_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_105,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X1_iProver_incident_1,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_106,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,X2_iProver_line_equal_1)
| ~ line_equal(X1_iProver_line_equal_1,X2_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_107,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X1_iProver_line_equal_1,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_108,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_109,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,X2_iProver_incident_1)
| ~ point_equal(X1_iProver_incident_1,X2_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,X1_iProver_incident_1) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_110,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X1_iProver_incident_1,X0_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,X1_iProver_incident_1) ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_111,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_112,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X2_iProver_incident_1,X0_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_113,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_114,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_115,plain,
colinear(a,f,i,s),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_116,plain,
colinear(c,d,i,r),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_117,plain,
colinear(a,e,h,q),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_118,plain,
colinear(b,d,h,p),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_119,plain,
colinear(c,e,g,o),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_120,plain,
colinear(b,f,g,n),
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_121,plain,
colinear(d,e,f,m),
inference(subtyping,[status(esa)],[c_50]) ).
tcf(c_122,plain,
colinear(a,b,c,l),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_130,plain,
( incident(c,l)
| ~ colinear(a,b,c,l) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_131,plain,
( incident(f,m)
| ~ colinear(d,e,f,m) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_132,plain,
( incident(g,n)
| ~ colinear(b,f,g,n) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_133,plain,
( incident(g,o)
| ~ colinear(c,e,g,o) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_134,plain,
( incident(h,p)
| ~ colinear(b,d,h,p) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_135,plain,
( incident(h,q)
| ~ colinear(a,e,h,q) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_136,plain,
( incident(i,r)
| ~ colinear(c,d,i,r) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_137,plain,
( incident(i,s)
| ~ colinear(a,f,i,s) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_138,plain,
( incident(b,l)
| ~ colinear(a,b,c,l) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_139,plain,
( incident(e,m)
| ~ colinear(d,e,f,m) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_140,plain,
( incident(f,n)
| ~ colinear(b,f,g,n) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_141,plain,
( incident(e,o)
| ~ colinear(c,e,g,o) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_142,plain,
( incident(d,p)
| ~ colinear(b,d,h,p) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_143,plain,
( incident(e,q)
| ~ colinear(a,e,h,q) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_144,plain,
( incident(d,r)
| ~ colinear(c,d,i,r) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_145,plain,
( incident(f,s)
| ~ colinear(a,f,i,s) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_152,plain,
( incident(a,l)
| ~ colinear(a,b,c,l) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_153,plain,
( incident(d,m)
| ~ colinear(d,e,f,m) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_154,plain,
( incident(b,n)
| ~ colinear(b,f,g,n) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_155,plain,
( incident(c,o)
| ~ colinear(c,e,g,o) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_156,plain,
( incident(b,p)
| ~ colinear(b,d,h,p) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_157,plain,
( incident(a,q)
| ~ colinear(a,e,h,q) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_158,plain,
( incident(c,r)
| ~ colinear(c,d,i,r) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_159,plain,
( incident(a,s)
| ~ colinear(a,f,i,s) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_194,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_108]) ).
tcf(c_195,plain,
( ~ incident(i,n)
| ~ incident(h,n)
| ~ incident(g,n) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_208,plain,
incident(c,l),
inference(resolution,[status(thm)],[c_112,c_122]) ).
tcf(c_209,plain,
incident(f,m),
inference(resolution,[status(thm)],[c_112,c_121]) ).
tcf(c_210,plain,
incident(g,n),
inference(resolution,[status(thm)],[c_112,c_120]) ).
tcf(c_211,plain,
incident(g,o),
inference(resolution,[status(thm)],[c_112,c_119]) ).
tcf(c_212,plain,
incident(h,p),
inference(resolution,[status(thm)],[c_112,c_118]) ).
tcf(c_213,plain,
incident(h,q),
inference(resolution,[status(thm)],[c_112,c_117]) ).
tcf(c_214,plain,
incident(i,r),
inference(resolution,[status(thm)],[c_112,c_116]) ).
tcf(c_215,plain,
incident(i,s),
inference(resolution,[status(thm)],[c_112,c_115]) ).
tcf(c_220,plain,
incident(b,l),
inference(resolution,[status(thm)],[c_113,c_122]) ).
tcf(c_221,plain,
incident(e,m),
inference(resolution,[status(thm)],[c_113,c_121]) ).
tcf(c_223,plain,
incident(e,o),
inference(resolution,[status(thm)],[c_113,c_119]) ).
tcf(c_224,plain,
incident(d,p),
inference(resolution,[status(thm)],[c_113,c_118]) ).
tcf(c_225,plain,
incident(e,q),
inference(resolution,[status(thm)],[c_113,c_117]) ).
tcf(c_226,plain,
incident(d,r),
inference(resolution,[status(thm)],[c_113,c_116]) ).
tcf(c_227,plain,
incident(f,s),
inference(resolution,[status(thm)],[c_113,c_115]) ).
tcf(c_228,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_incident_1: iProver_incident_1,X4_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_incident_1: iProver_incident_1,X5_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_incident_1: iProver_incident_1,X6_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| incident(b,X0_iProver_line_equal_1)
| incident(a,X0_iProver_line_equal_1)
| incident(X2_iProver_incident_1,l)
| incident(X1_iProver_incident_1,l)
| incident(X0_iProver_incident_1,l)
| colinear(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1,sK0(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1))
| ~ colinear(c,X1_iProver_incident_1,X5_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,X0_iProver_incident_1,X4_iProver_incident_1,X6_iProver_line_equal_1)
| ~ colinear(b,X2_iProver_incident_1,X5_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,X0_iProver_incident_1,X3_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(a,X2_iProver_incident_1,X4_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,X1_iProver_incident_1,X3_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_122,c_103]) ).
tcf(c_462,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(c,l)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_464,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| ~ incident(c,l)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_465,plain,
( point_equal(c,c)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_467,plain,
( incident(c,n)
| ~ incident(c,l)
| ~ line_equal(l,n) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_468,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,f)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(f,m)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_470,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,X0_iProver_line_equal_1)
| ~ incident(f,m)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_472,plain,
( line_equal(m,m)
| ~ incident(f,m) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_473,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,g)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(g,n)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,n)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_474,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,X0_iProver_line_equal_1)
| ~ incident(g,n)
| ~ line_equal(n,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_475,plain,
( point_equal(g,g)
| ~ incident(g,n) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_477,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,g)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(g,o)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_479,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,X0_iProver_line_equal_1)
| ~ incident(g,o)
| ~ line_equal(o,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_484,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ incident(h,p)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_485,plain,
( point_equal(h,h)
| ~ incident(h,p) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_486,plain,
( line_equal(p,p)
| ~ incident(h,p) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_487,plain,
( incident(h,n)
| ~ incident(h,p)
| ~ line_equal(p,n) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_488,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,h)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(h,q)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_490,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ incident(h,q)
| ~ line_equal(q,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_492,plain,
( line_equal(q,q)
| ~ incident(h,q) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_495,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(i,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_497,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ incident(i,r)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_498,plain,
( point_equal(i,i)
| ~ incident(i,r) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_502,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(i,s)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_504,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ incident(i,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_508,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,b)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(b,l)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_509,plain,
( point_equal(a,b)
| line_equal(n,l)
| ~ incident(b,n)
| ~ incident(b,l)
| ~ incident(a,n)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_510,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ incident(b,l)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_511,plain,
( point_equal(b,b)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_514,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(e,m)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_516,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(e,X0_iProver_line_equal_1)
| ~ incident(e,m)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_519,plain,
( incident(e,n)
| ~ incident(e,m)
| ~ line_equal(m,n) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_520,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,f)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(f,n)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,n)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_521,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,X0_iProver_line_equal_1)
| ~ incident(f,n)
| ~ line_equal(n,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_524,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(e,o)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_530,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(d,p)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_532,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ incident(d,p)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_536,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(e,q)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_542,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(d,r)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_548,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,f)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(f,s)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_550,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,X0_iProver_line_equal_1)
| ~ incident(f,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_554,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,X0_iProver_line_equal_1)
| ~ incident(a,l)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_558,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(d,m)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_560,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ incident(d,m)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_564,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,b)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(b,n)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,n)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_565,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ incident(b,n)
| ~ line_equal(n,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_568,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(c,o)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_570,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| ~ incident(c,o)
| ~ line_equal(o,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_574,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,b)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(b,p)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_576,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ incident(b,p)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_581,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,X0_iProver_line_equal_1)
| ~ incident(a,q)
| ~ line_equal(q,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_585,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(c,r)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_587,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| ~ incident(c,r)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_592,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,X0_iProver_line_equal_1)
| ~ incident(a,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_595,plain,
( incident(a,n)
| ~ incident(a,s)
| ~ line_equal(s,n) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_598,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,c))
| ~ point_equal(c,c)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_624,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,h))
| ~ point_equal(h,h)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_625,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(h,sK1(X0_iProver_incident_1,h))
| ~ point_equal(h,h)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_636,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,i))
| ~ point_equal(i,i)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_648,plain,
( line_equal(n,o)
| ~ line_equal(o,n) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_649,plain,
( line_equal(p,q)
| ~ line_equal(q,p) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_650,plain,
( line_equal(s,r)
| ~ line_equal(r,s) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_651,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(n,o)
| ~ line_equal(n,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,o) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_652,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(p,q)
| ~ line_equal(p,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,q) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_654,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(s,r)
| ~ line_equal(s,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,r) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_656,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,b))
| ~ point_equal(b,b)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_702,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,n)
| ~ incident(g,n)
| ~ point_equal(X0_iProver_incident_1,g) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_704,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,l)
| ~ incident(c,l)
| ~ point_equal(X0_iProver_incident_1,c) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_706,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,m)
| ~ incident(f,m)
| ~ point_equal(X0_iProver_incident_1,f) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_710,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,p)
| ~ incident(h,p)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_712,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,q)
| ~ incident(h,q)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_716,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,s)
| ~ incident(i,s)
| ~ point_equal(X0_iProver_incident_1,i) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_718,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,l)
| ~ incident(b,l)
| ~ point_equal(X0_iProver_incident_1,b) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_720,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,m)
| ~ incident(e,m)
| ~ point_equal(X0_iProver_incident_1,e) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_722,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,n)
| ~ incident(f,n)
| ~ point_equal(X0_iProver_incident_1,f) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_723,plain,
( incident(a,n)
| ~ point_equal(a,f)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_722]) ).
tcf(c_724,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,o)
| ~ incident(e,o)
| ~ point_equal(X0_iProver_incident_1,e) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_725,plain,
( incident(a,o)
| ~ point_equal(a,e)
| ~ incident(e,o) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_726,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,p)
| ~ incident(d,p)
| ~ point_equal(X0_iProver_incident_1,d) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_727,plain,
( incident(a,p)
| ~ point_equal(a,d)
| ~ incident(d,p) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_728,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,q)
| ~ incident(e,q)
| ~ point_equal(X0_iProver_incident_1,e) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_730,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,r)
| ~ incident(d,r)
| ~ point_equal(X0_iProver_incident_1,d) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_732,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,s)
| ~ incident(f,s)
| ~ point_equal(X0_iProver_incident_1,f) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_734,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,l)
| ~ incident(a,l)
| ~ point_equal(X0_iProver_incident_1,a) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_735,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,m)
| ~ incident(d,m)
| ~ point_equal(X0_iProver_incident_1,d) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_737,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,n)
| ~ incident(b,n)
| ~ point_equal(X0_iProver_incident_1,b) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_738,plain,
( incident(a,n)
| ~ point_equal(a,b)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,o)
| ~ incident(c,o)
| ~ point_equal(X0_iProver_incident_1,c) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_741,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,p)
| ~ incident(b,p)
| ~ point_equal(X0_iProver_incident_1,b) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_742,plain,
( incident(a,p)
| ~ point_equal(a,b)
| ~ incident(b,p) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_743,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,q)
| ~ incident(a,q)
| ~ point_equal(X0_iProver_incident_1,a) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_744,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,r)
| ~ incident(c,r)
| ~ point_equal(X0_iProver_incident_1,c) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_745,plain,
( incident(a,r)
| ~ point_equal(a,c)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_746,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,s)
| ~ incident(a,s)
| ~ point_equal(X0_iProver_incident_1,a) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_752,plain,
incident(d,m),
inference(resolution,[status(thm)],[c_114,c_121]) ).
tcf(c_753,plain,
incident(b,n),
inference(resolution,[status(thm)],[c_114,c_120]) ).
tcf(c_754,plain,
incident(c,o),
inference(resolution,[status(thm)],[c_114,c_119]) ).
tcf(c_755,plain,
incident(b,p),
inference(resolution,[status(thm)],[c_114,c_118]) ).
tcf(c_756,plain,
incident(a,q),
inference(resolution,[status(thm)],[c_114,c_117]) ).
tcf(c_757,plain,
incident(c,r),
inference(resolution,[status(thm)],[c_114,c_116]) ).
tcf(c_760,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,l) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_761,plain,
( line_equal(l,n)
| ~ line_equal(n,l) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_764,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(m,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,m) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_765,plain,
( line_equal(m,n)
| ~ line_equal(n,m) ),
inference(instantiation,[status(thm)],[c_764]) ).
tcf(c_768,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X0_iProver_incident_1,g)
| ~ incident(g,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_769,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,X1_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_773,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(o,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,o) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_776,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(p,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,p) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_777,plain,
( line_equal(p,n)
| ~ line_equal(n,p) ),
inference(instantiation,[status(thm)],[c_776]) ).
tcf(c_784,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(r,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,r) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_788,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(s,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,s) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_789,plain,
( line_equal(s,n)
| ~ line_equal(n,s) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_798,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X0_iProver_incident_1,f)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_799,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,X1_iProver_line_equal_1)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_852,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X0_iProver_incident_1,b)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_893,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,f)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(g,m)
| ~ incident(f,m)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_894,plain,
( incident(g,m)
| ~ incident(g,n)
| ~ line_equal(n,m) ),
inference(instantiation,[status(thm)],[c_474]) ).
tcf(c_895,plain,
( point_equal(g,f)
| line_equal(n,m)
| ~ incident(g,n)
| ~ incident(g,m)
| ~ incident(f,n)
| ~ incident(f,m) ),
inference(instantiation,[status(thm)],[c_893]) ).
tcf(c_902,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(e,f)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(f,m)
| ~ incident(e,m)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(e,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_903,plain,
( point_equal(e,f)
| line_equal(n,m)
| ~ incident(f,n)
| ~ incident(f,m)
| ~ incident(e,n)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_904,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(d,f)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(f,m)
| ~ incident(d,m)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(d,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_905,plain,
( point_equal(d,f)
| line_equal(n,m)
| ~ incident(f,n)
| ~ incident(f,m)
| ~ incident(d,n)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_904]) ).
tcf(c_907,plain,
( incident(b,m)
| ~ incident(b,n)
| ~ line_equal(n,m) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_940,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(f,g)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(g,n)
| ~ incident(f,n)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_473]) ).
tcf(c_951,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(e,g)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(g,o)
| ~ incident(e,o)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(e,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_953,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(c,g)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(g,o)
| ~ incident(c,o)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(c,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_962,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(p,q)
| point_equal(X0_iProver_incident_1,h)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(instantiation,[status(thm)],[c_488]) ).
tcf(c_966,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,r)
| point_equal(X0_iProver_incident_1,i)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_972,plain,
point_equal(g,g),
inference(resolution,[status(thm)],[c_111,c_210]) ).
tcf(c_976,plain,
point_equal(h,h),
inference(resolution,[status(thm)],[c_111,c_212]) ).
tcf(c_978,plain,
point_equal(i,i),
inference(resolution,[status(thm)],[c_111,c_214]) ).
tcf(c_987,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(r,s)
| point_equal(X0_iProver_incident_1,i)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_990,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,b)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(g,l)
| ~ incident(b,l)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_998,plain,
( point_equal(h,b)
| line_equal(p,l)
| ~ incident(h,p)
| ~ incident(h,l)
| ~ incident(b,p)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_1006,plain,
( point_equal(d,b)
| line_equal(p,l)
| ~ incident(d,p)
| ~ incident(d,l)
| ~ incident(b,p)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_1015,plain,
( point_equal(a,b)
| line_equal(q,l)
| ~ incident(b,q)
| ~ incident(b,l)
| ~ incident(a,q)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_1016,plain,
( point_equal(c,b)
| line_equal(r,l)
| ~ incident(c,r)
| ~ incident(c,l)
| ~ incident(b,r)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_1063,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(o,m)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,o)
| ~ incident(e,m)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_1105,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,f)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(g,n)
| ~ incident(f,n)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_520]) ).
tcf(c_1107,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(b,f)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(f,n)
| ~ incident(b,n)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_520]) ).
tcf(c_1119,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,X0_iProver_line_equal_1)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_209]) ).
tcf(c_1121,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_212]) ).
tcf(c_1123,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ line_equal(q,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_213]) ).
tcf(c_1125,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_214]) ).
tcf(c_1127,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_215]) ).
tcf(c_1130,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(e,X0_iProver_line_equal_1)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_221]) ).
tcf(c_1139,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_226]) ).
tcf(c_1144,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_752]) ).
tcf(c_1149,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_755]) ).
tcf(c_1152,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_104,c_757]) ).
tcf(c_1156,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,o)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,o)
| ~ incident(e,m)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_1159,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,o)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,q)
| ~ incident(e,o)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,o) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_1164,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,p)
| point_equal(X0_iProver_incident_1,d)
| ~ incident(d,p)
| ~ incident(d,m)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_1166,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,q)
| ~ incident(e,m)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_1167,plain,
( point_equal(a,e)
| line_equal(m,q)
| ~ incident(e,q)
| ~ incident(e,m)
| ~ incident(a,q)
| ~ incident(a,m) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_1168,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(o,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,q)
| ~ incident(e,o)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,o) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_1171,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(p,r)
| point_equal(X0_iProver_incident_1,d)
| ~ incident(d,r)
| ~ incident(d,p)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,p) ),
inference(instantiation,[status(thm)],[c_542]) ).
tcf(c_1174,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,r)
| point_equal(X0_iProver_incident_1,d)
| ~ incident(d,r)
| ~ incident(d,m)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_542]) ).
tcf(c_1175,plain,
( point_equal(a,d)
| line_equal(m,r)
| ~ incident(d,r)
| ~ incident(d,m)
| ~ incident(a,r)
| ~ incident(a,m) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_1186,plain,
( point_equal(i,f)
| line_equal(r,s)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(f,s)
| ~ incident(f,r) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_1196,plain,
( point_equal(a,f)
| line_equal(l,s)
| ~ incident(f,s)
| ~ incident(f,l)
| ~ incident(a,s)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_1201,plain,
( point_equal(a,f)
| line_equal(q,s)
| ~ incident(f,s)
| ~ incident(f,q)
| ~ incident(a,s)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_1202,plain,
( point_equal(c,f)
| line_equal(r,s)
| ~ incident(f,s)
| ~ incident(f,r)
| ~ incident(c,s)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_1218,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(p,m)
| point_equal(X0_iProver_incident_1,d)
| ~ incident(d,p)
| ~ incident(d,m)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,m) ),
inference(instantiation,[status(thm)],[c_558]) ).
tcf(c_1227,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,b)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(g,n)
| ~ incident(b,n)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_1228,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(f,b)
| line_equal(X0_iProver_line_equal_1,n)
| ~ incident(f,n)
| ~ incident(b,n)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_1256,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X2_iProver_incident_1,sK1(X1_iProver_incident_1,X0_iProver_incident_1))
| ~ point_equal(X2_iProver_incident_1,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,sK1(X1_iProver_incident_1,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_1286,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,o)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,o)
| ~ incident(c,l)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1289,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(r,o)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,r)
| ~ incident(c,o)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,o) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1292,plain,
( incident(g,p)
| ~ incident(g,n)
| ~ line_equal(n,p) ),
inference(instantiation,[status(thm)],[c_474]) ).
tcf(c_1299,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(p,X0_iProver_line_equal_1),p)
| ~ line_equal(p,p)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_1302,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(h,b)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(h,p)
| ~ incident(b,p)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_574]) ).
tcf(c_1304,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(d,b)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(d,p)
| ~ incident(b,p)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_574]) ).
tcf(c_1305,plain,
( point_equal(d,b)
| line_equal(n,p)
| ~ incident(d,p)
| ~ incident(d,n)
| ~ incident(b,p)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_1304]) ).
tcf(c_1308,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(f,b)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(f,p)
| ~ incident(b,p)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_574]) ).
tcf(c_1310,plain,
( point_equal(f,b)
| line_equal(n,p)
| ~ incident(f,p)
| ~ incident(f,n)
| ~ incident(b,p)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_1313,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,r)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,r)
| ~ incident(c,l)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_1360,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X2_iProver_incident_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1))
| ~ point_equal(X2_iProver_incident_1,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_1490,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(g,X0_iProver_incident_1))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(resolution,[status(thm)],[c_100,c_972]) ).
tcf(c_1581,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,h))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(resolution,[status(thm)],[c_101,c_976]) ).
tcf(c_1583,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,i))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(resolution,[status(thm)],[c_101,c_978]) ).
tcf(c_1593,plain,
( incident(h,l)
| ~ incident(h,q)
| ~ line_equal(q,l) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_1595,plain,
( incident(f,l)
| ~ incident(f,s)
| ~ line_equal(s,l) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_1598,plain,
( incident(b,s)
| ~ incident(b,l)
| ~ line_equal(l,s) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_1599,plain,
( incident(c,s)
| ~ incident(c,l)
| ~ line_equal(l,s) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_1611,plain,
( incident(h,s)
| ~ incident(h,q)
| ~ line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_1626,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_208]) ).
tcf(c_1632,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,h)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_212]) ).
tcf(c_1636,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_214]) ).
tcf(c_1638,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_215]) ).
tcf(c_1640,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,b)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_220]) ).
tcf(c_1642,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_221]) ).
tcf(c_1647,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_224]) ).
tcf(c_1649,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_225]) ).
tcf(c_1651,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_226]) ).
tcf(c_1653,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,f)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_227]) ).
tcf(c_1659,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_102,c_754]) ).
tcf(c_1669,plain,
( incident(f,l)
| ~ incident(f,n)
| ~ line_equal(n,l) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_1709,plain,
( incident(i,l)
| ~ point_equal(i,c)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_1710,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,s)
| point_equal(X0_iProver_incident_1,i)
| ~ incident(i,s)
| ~ incident(i,l)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_1714,plain,
( point_equal(a,i)
| line_equal(l,s)
| ~ incident(i,s)
| ~ incident(i,l)
| ~ incident(a,s)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_1710]) ).
tcf(c_1723,plain,
( incident(f,l)
| ~ point_equal(f,c)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_1766,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,q)
| ~ incident(X1_iProver_incident_1,q)
| ~ point_equal(X0_iProver_incident_1,X1_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_1770,plain,
( incident(c,q)
| ~ point_equal(c,h)
| ~ incident(h,q) ),
inference(instantiation,[status(thm)],[c_712]) ).
tcf(c_1773,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,l)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,q)
| ~ incident(c,l)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_1774,plain,
( point_equal(a,c)
| line_equal(q,l)
| ~ incident(c,q)
| ~ incident(c,l)
| ~ incident(a,q)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_1773]) ).
tcf(c_1780,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(r,s)
| point_equal(X0_iProver_incident_1,f)
| ~ incident(f,s)
| ~ incident(f,r)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_1788,plain,
( point_equal(a,f)
| line_equal(r,s)
| ~ incident(f,s)
| ~ incident(f,r)
| ~ incident(a,s)
| ~ incident(a,r) ),
inference(instantiation,[status(thm)],[c_1780]) ).
tcf(c_1800,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_1803,plain,
( incident(c,s)
| ~ point_equal(c,i)
| ~ incident(i,s) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_1804,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,r)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,s)
| ~ incident(c,r)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_1809,plain,
( point_equal(a,c)
| line_equal(s,r)
| ~ incident(c,s)
| ~ incident(c,r)
| ~ incident(a,s)
| ~ incident(a,r) ),
inference(instantiation,[status(thm)],[c_1804]) ).
tcf(c_1837,plain,
( incident(f,l)
| ~ point_equal(f,b)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_1854,plain,
( incident(c,m)
| ~ point_equal(c,e)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_1861,plain,
( incident(i,n)
| ~ point_equal(i,f)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_722]) ).
tcf(c_1867,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(n,o)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(c,o)
| ~ incident(c,n)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,n) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1909,plain,
( incident(f,r)
| ~ incident(f,m)
| ~ line_equal(m,r) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_1910,plain,
( incident(h,r)
| ~ incident(h,p)
| ~ line_equal(p,r) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_1963,plain,
( incident(f,q)
| ~ point_equal(f,e)
| ~ incident(e,q) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_1972,plain,
( incident(h,r)
| ~ point_equal(h,d)
| ~ incident(d,r) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_1973,plain,
( incident(f,r)
| ~ point_equal(f,d)
| ~ incident(d,r) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_1992,plain,
( incident(c,s)
| ~ point_equal(c,f)
| ~ incident(f,s) ),
inference(instantiation,[status(thm)],[c_732]) ).
tcf(c_2002,plain,
( incident(f,l)
| ~ point_equal(f,a)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_734]) ).
tcf(c_2040,plain,
( incident(f,q)
| ~ point_equal(f,a)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_2047,plain,
( incident(f,r)
| ~ point_equal(f,c)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_2056,plain,
( incident(h,s)
| ~ point_equal(h,a)
| ~ incident(a,s) ),
inference(instantiation,[status(thm)],[c_746]) ).
tcf(c_2058,plain,
( incident(c,s)
| ~ point_equal(c,a)
| ~ incident(a,s) ),
inference(instantiation,[status(thm)],[c_746]) ).
tcf(c_2100,plain,
( line_equal(l,m)
| ~ line_equal(m,l) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_2103,plain,
( line_equal(m,q)
| ~ line_equal(q,m) ),
inference(instantiation,[status(thm)],[c_764]) ).
tcf(c_2104,plain,
( line_equal(p,q)
| ~ line_equal(p,m)
| ~ line_equal(m,q) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_2116,plain,
( line_equal(l,p)
| ~ line_equal(p,l) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_2121,plain,
( line_equal(p,r)
| ~ line_equal(r,p) ),
inference(instantiation,[status(thm)],[c_776]) ).
tcf(c_2151,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2178,plain,
( incident(e,s)
| ~ point_equal(e,f)
| ~ incident(f,s) ),
inference(instantiation,[status(thm)],[c_732]) ).
tcf(c_2307,plain,
( incident(b,m)
| ~ incident(b,l)
| ~ line_equal(l,m) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_2308,plain,
( incident(c,m)
| ~ incident(c,l)
| ~ line_equal(l,m) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_2310,plain,
( incident(c,m)
| ~ incident(c,o)
| ~ line_equal(o,m) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_2312,plain,
( incident(g,m)
| ~ incident(g,o)
| ~ line_equal(o,m) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_2318,plain,
( incident(c,m)
| ~ incident(c,r)
| ~ line_equal(r,m) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_2324,plain,
( incident(i,m)
| ~ incident(i,s)
| ~ line_equal(s,m) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_2381,plain,
incident(c,l),
inference(superposition,[status(thm)],[c_122,c_112]) ).
tcf(c_2382,plain,
incident(f,m),
inference(superposition,[status(thm)],[c_121,c_112]) ).
tcf(c_2383,plain,
incident(g,n),
inference(superposition,[status(thm)],[c_120,c_112]) ).
tcf(c_2384,plain,
incident(g,o),
inference(superposition,[status(thm)],[c_119,c_112]) ).
tcf(c_2385,plain,
incident(h,p),
inference(superposition,[status(thm)],[c_118,c_112]) ).
tcf(c_2386,plain,
incident(h,q),
inference(superposition,[status(thm)],[c_117,c_112]) ).
tcf(c_2387,plain,
incident(i,r),
inference(superposition,[status(thm)],[c_116,c_112]) ).
tcf(c_2388,plain,
incident(i,s),
inference(superposition,[status(thm)],[c_115,c_112]) ).
tcf(c_2426,plain,
( point_equal(f,g)
| line_equal(s,n)
| ~ incident(g,s)
| ~ incident(g,n)
| ~ incident(f,s)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_940]) ).
tcf(c_2438,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2381,c_102]) ).
tcf(c_2502,plain,
( incident(c,m)
| ~ point_equal(c,d)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_2503,plain,
( incident(c,m)
| ~ point_equal(c,f)
| ~ incident(f,m) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_2506,plain,
( incident(c,n)
| ~ point_equal(c,b)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_737]) ).
tcf(c_2507,plain,
( incident(c,n)
| ~ point_equal(c,g)
| ~ incident(g,n) ),
inference(instantiation,[status(thm)],[c_702]) ).
tcf(c_2511,plain,
( incident(c,p)
| ~ point_equal(c,b)
| ~ incident(b,p) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_2512,plain,
( incident(c,p)
| ~ point_equal(c,d)
| ~ incident(d,p) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_2516,plain,
( incident(c,q)
| ~ point_equal(c,e)
| ~ incident(e,q) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_2533,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(f,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2382,c_102]) ).
tcf(c_2536,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,m)
| ~ point_equal(X0_iProver_incident_1,f) ),
inference(superposition,[status(thm)],[c_2382,c_105]) ).
tcf(c_2540,plain,
( incident(a,m)
| ~ point_equal(a,f) ),
inference(instantiation,[status(thm)],[c_2536]) ).
tcf(c_2563,plain,
( incident(g,l)
| ~ point_equal(g,c)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_2579,plain,
( point_equal(g,f)
| line_equal(o,n)
| ~ incident(g,o)
| ~ incident(g,n)
| ~ incident(f,o)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_2670,plain,
( incident(g,s)
| ~ point_equal(g,f)
| ~ incident(f,s) ),
inference(instantiation,[status(thm)],[c_732]) ).
tcf(c_2687,plain,
( point_equal(g,b)
| line_equal(o,n)
| ~ incident(g,o)
| ~ incident(g,n)
| ~ incident(b,o)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_2722,plain,
( incident(a,p)
| ~ incident(a,l)
| ~ line_equal(l,p) ),
inference(instantiation,[status(thm)],[c_554]) ).
tcf(c_2781,plain,
( point_equal(h,b)
| line_equal(q,p)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(b,q)
| ~ incident(b,p) ),
inference(instantiation,[status(thm)],[c_1302]) ).
tcf(c_2866,plain,
incident(e,m),
inference(superposition,[status(thm)],[c_121,c_113]) ).
tcf(c_2867,plain,
incident(f,n),
inference(superposition,[status(thm)],[c_120,c_113]) ).
tcf(c_2868,plain,
incident(e,o),
inference(superposition,[status(thm)],[c_119,c_113]) ).
tcf(c_2869,plain,
incident(d,p),
inference(superposition,[status(thm)],[c_118,c_113]) ).
tcf(c_2871,plain,
incident(d,r),
inference(superposition,[status(thm)],[c_116,c_113]) ).
tcf(c_2872,plain,
incident(f,s),
inference(superposition,[status(thm)],[c_115,c_113]) ).
tcf(c_2944,plain,
( point_equal(e,f)
| line_equal(l,m)
| ~ incident(f,m)
| ~ incident(f,l)
| ~ incident(e,m)
| ~ incident(e,l) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_2948,plain,
( point_equal(f,b)
| line_equal(l,n)
| ~ incident(f,n)
| ~ incident(f,l)
| ~ incident(b,n)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_1228]) ).
tcf(c_2949,plain,
( point_equal(g,b)
| line_equal(l,n)
| ~ incident(g,n)
| ~ incident(g,l)
| ~ incident(b,n)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_2960,plain,
incident(a,l),
inference(superposition,[status(thm)],[c_122,c_114]) ).
tcf(c_2961,plain,
incident(d,m),
inference(superposition,[status(thm)],[c_121,c_114]) ).
tcf(c_2962,plain,
incident(b,n),
inference(superposition,[status(thm)],[c_120,c_114]) ).
tcf(c_2963,plain,
incident(c,o),
inference(superposition,[status(thm)],[c_119,c_114]) ).
tcf(c_2964,plain,
incident(b,p),
inference(superposition,[status(thm)],[c_118,c_114]) ).
tcf(c_2965,plain,
incident(a,q),
inference(superposition,[status(thm)],[c_117,c_114]) ).
tcf(c_2966,plain,
incident(c,r),
inference(superposition,[status(thm)],[c_116,c_114]) ).
tcf(c_2967,plain,
incident(a,s),
inference(superposition,[status(thm)],[c_115,c_114]) ).
tcf(c_2978,plain,
( line_equal(r,m)
| ~ line_equal(m,r) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_2985,plain,
line_equal(n,n),
inference(superposition,[status(thm)],[c_2383,c_108]) ).
tcf(c_3021,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,s)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,s) ),
inference(instantiation,[status(thm)],[c_769]) ).
tcf(c_3030,plain,
( point_equal(e,f)
| line_equal(o,m)
| ~ incident(f,o)
| ~ incident(f,m)
| ~ incident(e,o)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_3047,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(g,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2384,c_102]) ).
tcf(c_3049,plain,
line_equal(o,o),
inference(superposition,[status(thm)],[c_2384,c_108]) ).
tcf(c_3057,plain,
( point_equal(g,a)
| line_equal(n,o)
| ~ incident(g,n)
| ~ incident(a,o)
| ~ incident(a,n) ),
inference(instantiation,[status(thm)],[c_3047]) ).
tcf(c_3080,plain,
( line_equal(r,p)
| ~ line_equal(p,r) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_3110,plain,
line_equal(p,p),
inference(superposition,[status(thm)],[c_2385,c_108]) ).
tcf(c_3111,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,p)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(superposition,[status(thm)],[c_2385,c_105]) ).
tcf(c_3115,plain,
( incident(a,p)
| ~ point_equal(a,h) ),
inference(instantiation,[status(thm)],[c_3111]) ).
tcf(c_3139,plain,
( point_equal(d,f)
| line_equal(r,m)
| ~ incident(f,r)
| ~ incident(f,m)
| ~ incident(d,r)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_904]) ).
tcf(c_3163,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_194,c_1125]) ).
tcf(c_3164,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_194,c_1127]) ).
tcf(c_3167,plain,
( ~ incident(h,r)
| ~ incident(g,r) ),
inference(resolution,[status(thm)],[c_194,c_214]) ).
tcf(c_3168,plain,
( ~ incident(h,s)
| ~ incident(g,s) ),
inference(resolution,[status(thm)],[c_194,c_215]) ).
tcf(c_3180,plain,
( point_equal(f,b)
| line_equal(s,n)
| ~ incident(f,s)
| ~ incident(f,n)
| ~ incident(b,s)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_1228]) ).
tcf(c_3183,plain,
( point_equal(g,f)
| line_equal(s,n)
| ~ incident(g,s)
| ~ incident(g,n)
| ~ incident(f,s)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_3195,plain,
line_equal(q,q),
inference(superposition,[status(thm)],[c_2386,c_108]) ).
tcf(c_3196,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,q)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(superposition,[status(thm)],[c_2386,c_105]) ).
tcf(c_3245,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ point_equal(i,f)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_3315,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,r)
| ~ point_equal(X0_iProver_incident_1,i) ),
inference(superposition,[status(thm)],[c_2387,c_105]) ).
tcf(c_3319,plain,
( incident(a,r)
| ~ point_equal(a,i) ),
inference(instantiation,[status(thm)],[c_3315]) ).
tcf(c_3417,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,s)
| ~ point_equal(X0_iProver_incident_1,i) ),
inference(superposition,[status(thm)],[c_2388,c_105]) ).
tcf(c_3771,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,m)
| ~ point_equal(X0_iProver_incident_1,e) ),
inference(superposition,[status(thm)],[c_2866,c_105]) ).
tcf(c_3775,plain,
( incident(a,m)
| ~ point_equal(a,e) ),
inference(instantiation,[status(thm)],[c_3771]) ).
tcf(c_3819,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,n)
| ~ point_equal(X0_iProver_incident_1,f) ),
inference(superposition,[status(thm)],[c_2867,c_105]) ).
tcf(c_3823,plain,
( incident(a,n)
| ~ point_equal(a,f) ),
inference(instantiation,[status(thm)],[c_3819]) ).
tcf(c_3927,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,p)
| ~ point_equal(X0_iProver_incident_1,d) ),
inference(superposition,[status(thm)],[c_2869,c_105]) ).
tcf(c_3931,plain,
( incident(a,p)
| ~ point_equal(a,d) ),
inference(instantiation,[status(thm)],[c_3927]) ).
tcf(c_4009,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,r)
| ~ point_equal(X0_iProver_incident_1,d) ),
inference(superposition,[status(thm)],[c_2871,c_105]) ).
tcf(c_4052,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(f,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2872,c_102]) ).
tcf(c_4061,plain,
( point_equal(f,a)
| line_equal(n,s)
| ~ incident(f,n)
| ~ incident(a,s)
| ~ incident(a,n) ),
inference(instantiation,[status(thm)],[c_4052]) ).
tcf(c_4115,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,l)
| ~ point_equal(X0_iProver_incident_1,a) ),
inference(superposition,[status(thm)],[c_2960,c_105]) ).
tcf(c_4217,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ line_equal(m,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2961,c_104]) ).
tcf(c_4379,plain,
( point_equal(f,c)
| line_equal(l,o)
| ~ incident(f,o)
| ~ incident(f,l)
| ~ incident(c,o)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_1286]) ).
tcf(c_4397,plain,
( ~ incident(g,r)
| ~ line_equal(p,r) ),
inference(resolution,[status(thm)],[c_3167,c_1121]) ).
tcf(c_4436,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,h)
| ~ point_equal(i,X0_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_4437,plain,
( point_equal(i,h)
| ~ point_equal(i,a)
| ~ point_equal(a,h) ),
inference(instantiation,[status(thm)],[c_4436]) ).
tcf(c_4453,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,o)
| ~ point_equal(X0_iProver_incident_1,c) ),
inference(superposition,[status(thm)],[c_2963,c_105]) ).
tcf(c_4457,plain,
( incident(a,o)
| ~ point_equal(a,c) ),
inference(instantiation,[status(thm)],[c_4453]) ).
tcf(c_4475,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(b,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2964,c_102]) ).
tcf(c_4479,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2964,c_104]) ).
tcf(c_4485,plain,
( point_equal(b,a)
| line_equal(n,p)
| ~ incident(b,n)
| ~ incident(a,p)
| ~ incident(a,n) ),
inference(instantiation,[status(thm)],[c_4475]) ).
tcf(c_4504,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,X0_iProver_line_equal_1)
| ~ line_equal(q,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2965,c_104]) ).
tcf(c_4529,plain,
( incident(i,p)
| ~ point_equal(i,d)
| ~ incident(d,p) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_4543,plain,
( point_equal(c,h)
| line_equal(p,q)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(c,q)
| ~ incident(c,p) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_4567,plain,
( incident(i,q)
| ~ point_equal(i,a)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_4632,plain,
( point_equal(h,i)
| ~ point_equal(i,h) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4640,plain,
( point_equal(h,i)
| line_equal(s,r)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(h,s)
| ~ incident(h,r) ),
inference(instantiation,[status(thm)],[c_966]) ).
tcf(c_4664,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,r)
| ~ point_equal(X0_iProver_incident_1,c) ),
inference(superposition,[status(thm)],[c_2966,c_105]) ).
tcf(c_4665,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_2966,c_104]) ).
tcf(c_4668,plain,
( incident(a,r)
| ~ point_equal(a,c) ),
inference(instantiation,[status(thm)],[c_4664]) ).
tcf(c_4697,plain,
( point_equal(c,i)
| line_equal(s,r)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(c,s)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_966]) ).
tcf(c_4714,plain,
( ~ incident(i,n)
| ~ incident(h,n)
| ~ incident(g,n) ),
inference(superposition,[status(thm)],[c_2985,c_94]) ).
tcf(c_4722,plain,
( ~ incident(i,n)
| ~ incident(h,n) ),
inference(global_subsumption_just,[status(thm)],[c_4714,c_51,c_132,c_195]) ).
tcf(c_4749,plain,
( ~ incident(i,o)
| ~ incident(h,o)
| ~ incident(g,o) ),
inference(superposition,[status(thm)],[c_3049,c_94]) ).
tcf(c_4784,plain,
( ~ incident(i,p)
| ~ incident(h,p)
| ~ incident(g,p) ),
inference(superposition,[status(thm)],[c_3110,c_94]) ).
tcf(c_4792,plain,
( ~ incident(i,p)
| ~ incident(g,p) ),
inference(global_subsumption_just,[status(thm)],[c_4784,c_53,c_134,c_4784]) ).
tcf(c_4942,plain,
( point_equal(c,e)
| ~ point_equal(e,c) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4953,plain,
( point_equal(c,e)
| line_equal(o,q)
| ~ incident(e,q)
| ~ incident(e,o)
| ~ incident(c,q)
| ~ incident(c,o) ),
inference(instantiation,[status(thm)],[c_1168]) ).
tcf(c_4955,plain,
( point_equal(c,e)
| line_equal(q,o)
| ~ incident(e,q)
| ~ incident(e,o)
| ~ incident(c,q)
| ~ incident(c,o) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_4956,plain,
( point_equal(c,e)
| line_equal(m,o)
| ~ incident(e,o)
| ~ incident(e,m)
| ~ incident(c,o)
| ~ incident(c,m) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_4958,plain,
( point_equal(c,e)
| line_equal(o,m)
| ~ incident(e,o)
| ~ incident(e,m)
| ~ incident(c,o)
| ~ incident(c,m) ),
inference(instantiation,[status(thm)],[c_1063]) ).
tcf(c_4992,plain,
( ~ incident(i,q)
| ~ incident(h,q)
| ~ incident(g,q) ),
inference(superposition,[status(thm)],[c_3195,c_94]) ).
tcf(c_5000,plain,
( ~ incident(i,q)
| ~ incident(g,q) ),
inference(global_subsumption_just,[status(thm)],[c_4992,c_54,c_135,c_4992]) ).
tcf(c_5013,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_5014,plain,
( incident(h,n)
| ~ point_equal(h,a)
| ~ incident(a,n) ),
inference(instantiation,[status(thm)],[c_5013]) ).
tcf(c_5015,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ point_equal(h,b)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_5020,plain,
( incident(h,n)
| ~ point_equal(h,b)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_5015]) ).
tcf(c_5096,plain,
( incident(f,o)
| ~ point_equal(f,g)
| ~ incident(g,o) ),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_5097,plain,
( incident(f,o)
| ~ incident(f,m)
| ~ line_equal(m,o) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_5123,plain,
( point_equal(f,e)
| ~ point_equal(e,f) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5197,plain,
( point_equal(h,d)
| ~ point_equal(d,h) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5205,plain,
( point_equal(f,d)
| ~ point_equal(d,f) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5236,plain,
( point_equal(b,f)
| line_equal(p,n)
| ~ incident(f,p)
| ~ incident(f,n)
| ~ incident(b,p)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_5291,plain,
( point_equal(f,a)
| ~ point_equal(a,f) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5303,plain,
( point_equal(h,c)
| ~ point_equal(c,h) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5309,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,l)
| incident(e,l)
| incident(d,l)
| incident(c,m)
| incident(b,m)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_121,c_228]) ).
tcf(c_5365,plain,
( point_equal(h,a)
| ~ point_equal(a,h) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5523,plain,
( incident(g,m)
| ~ point_equal(g,f)
| ~ incident(f,m) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_5581,plain,
( incident(g,q)
| ~ point_equal(g,a)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_5582,plain,
( incident(g,q)
| ~ point_equal(g,e)
| ~ incident(e,q) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_5617,plain,
( incident(g,r)
| ~ point_equal(g,f)
| ~ incident(f,r) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_5635,plain,
( incident(i,q)
| ~ incident(i,s)
| ~ line_equal(s,q) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_5654,plain,
( ~ incident(g,s)
| ~ line_equal(q,s) ),
inference(resolution,[status(thm)],[c_3168,c_1123]) ).
tcf(c_5659,plain,
( incident(b,o)
| ~ point_equal(b,f)
| ~ incident(f,o) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_5661,plain,
( incident(b,o)
| ~ incident(b,l)
| ~ line_equal(l,o) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_5675,plain,
( point_equal(c,d)
| ~ point_equal(d,c) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5711,plain,
( point_equal(c,b)
| ~ point_equal(b,c) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5752,plain,
( point_equal(c,a)
| ~ point_equal(a,c) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5909,plain,
( incident(b,q)
| ~ point_equal(b,f)
| ~ incident(f,q) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_5911,plain,
( incident(b,q)
| ~ incident(b,l)
| ~ line_equal(l,q) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_5914,plain,
( incident(b,q)
| ~ point_equal(b,a)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_5916,plain,
( incident(b,q)
| ~ point_equal(b,h)
| ~ incident(h,q) ),
inference(instantiation,[status(thm)],[c_712]) ).
tcf(c_5934,plain,
( incident(d,q)
| ~ point_equal(d,e)
| ~ incident(e,q) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_5935,plain,
( incident(d,q)
| ~ point_equal(d,h)
| ~ incident(h,q) ),
inference(instantiation,[status(thm)],[c_712]) ).
tcf(c_5940,plain,
( incident(d,l)
| ~ point_equal(d,b)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_6058,plain,
( point_equal(f,b)
| line_equal(m,n)
| ~ incident(f,n)
| ~ incident(f,m)
| ~ incident(b,n)
| ~ incident(b,m) ),
inference(instantiation,[status(thm)],[c_1228]) ).
tcf(c_6060,plain,
( point_equal(b,f)
| line_equal(m,n)
| ~ incident(f,n)
| ~ incident(f,m)
| ~ incident(b,n)
| ~ incident(b,m) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_6074,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,o)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,o) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_6446,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| ~ point_equal(c,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_6447,plain,
( point_equal(a,c)
| ~ point_equal(c,a) ),
inference(instantiation,[status(thm)],[c_6446]) ).
tcf(c_6462,plain,
( incident(g,p)
| ~ point_equal(g,b)
| ~ incident(b,p) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_6463,plain,
( incident(f,p)
| ~ point_equal(f,b)
| ~ incident(b,p) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_6479,plain,
( incident(e,l)
| ~ point_equal(e,a)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_734]) ).
tcf(c_6541,plain,
( line_equal(n,o)
| ~ line_equal(n,l)
| ~ line_equal(l,o) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_6542,plain,
( line_equal(l,q)
| ~ line_equal(q,l) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_6544,plain,
( line_equal(p,q)
| ~ line_equal(p,l)
| ~ line_equal(l,q) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_6545,plain,
( line_equal(l,r)
| ~ line_equal(r,l) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_6743,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(X0_iProver_incident_1,l)
| ~ line_equal(r,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_1626,c_1152]) ).
tcf(c_6839,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ point_equal(d,b)
| ~ incident(b,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_6840,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ point_equal(d,f)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_6843,plain,
( incident(d,n)
| ~ point_equal(d,f)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_6840]) ).
tcf(c_6844,plain,
( incident(d,n)
| ~ point_equal(d,b)
| ~ incident(b,n) ),
inference(instantiation,[status(thm)],[c_6839]) ).
tcf(c_7184,plain,
( incident(i,p)
| ~ point_equal(i,f)
| ~ incident(f,p) ),
inference(instantiation,[status(thm)],[c_3245]) ).
tcf(c_7185,plain,
( incident(i,q)
| ~ point_equal(i,f)
| ~ incident(f,q) ),
inference(instantiation,[status(thm)],[c_3245]) ).
tcf(c_7335,plain,
( incident(a,r)
| ~ incident(a,l)
| ~ line_equal(l,r) ),
inference(instantiation,[status(thm)],[c_554]) ).
tcf(c_7434,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,p)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,p) ),
inference(instantiation,[status(thm)],[c_769]) ).
tcf(c_7479,plain,
( point_equal(d,h)
| line_equal(p,q)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(d,q)
| ~ incident(d,p) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_7495,plain,
( point_equal(g,h)
| line_equal(p,q)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(g,q)
| ~ incident(g,p) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_7498,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(p,q)
| point_equal(sK2(p,X0_iProver_line_equal_1),h)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(sK2(p,X0_iProver_line_equal_1),q)
| ~ incident(sK2(p,X0_iProver_line_equal_1),p) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_7604,plain,
( point_equal(g,e)
| line_equal(o,m)
| ~ incident(g,o)
| ~ incident(g,m)
| ~ incident(e,o)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_1063]) ).
tcf(c_7671,plain,
( incident(b,m)
| ~ incident(b,p)
| ~ line_equal(p,m) ),
inference(instantiation,[status(thm)],[c_576]) ).
tcf(c_7740,plain,
( ~ point_equal(i,i)
| ~ incident(h,sK1(g,i))
| ~ incident(g,sK1(g,i)) ),
inference(resolution,[status(thm)],[c_1490,c_194]) ).
tcf(c_7763,plain,
( point_equal(g,e)
| line_equal(q,o)
| ~ incident(g,q)
| ~ incident(g,o)
| ~ incident(e,q)
| ~ incident(e,o) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_7928,plain,
( point_equal(b,d)
| line_equal(m,p)
| ~ incident(d,p)
| ~ incident(d,m)
| ~ incident(b,p)
| ~ incident(b,m) ),
inference(instantiation,[status(thm)],[c_1164]) ).
tcf(c_8093,plain,
( point_equal(c,d)
| line_equal(p,r)
| ~ incident(d,r)
| ~ incident(d,p)
| ~ incident(c,r)
| ~ incident(c,p) ),
inference(instantiation,[status(thm)],[c_1171]) ).
tcf(c_8133,plain,
( point_equal(i,d)
| line_equal(m,r)
| ~ incident(i,r)
| ~ incident(i,m)
| ~ incident(d,r)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_8135,plain,
( point_equal(c,d)
| line_equal(m,r)
| ~ incident(d,r)
| ~ incident(d,m)
| ~ incident(c,r)
| ~ incident(c,m) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_8215,plain,
( point_equal(f,d)
| line_equal(p,m)
| ~ incident(f,p)
| ~ incident(f,m)
| ~ incident(d,p)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_1218]) ).
tcf(c_8216,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,p)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,p) ),
inference(instantiation,[status(thm)],[c_799]) ).
tcf(c_8339,plain,
( point_equal(d,c)
| line_equal(r,o)
| ~ incident(d,r)
| ~ incident(d,o)
| ~ incident(c,r)
| ~ incident(c,o) ),
inference(instantiation,[status(thm)],[c_1289]) ).
tcf(c_8433,plain,
( point_equal(d,c)
| line_equal(l,r)
| ~ incident(d,r)
| ~ incident(d,l)
| ~ incident(c,r)
| ~ incident(c,l) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_8649,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,i) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_8650,plain,
( point_equal(i,a)
| ~ point_equal(a,i) ),
inference(instantiation,[status(thm)],[c_8649]) ).
tcf(c_8990,plain,
( incident(c,q)
| ~ incident(c,l)
| ~ line_equal(l,q) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_9116,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,p)
| point_equal(X0_iProver_incident_1,h)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(resolution,[status(thm)],[c_1632,c_213]) ).
tcf(c_9117,plain,
( point_equal(a,h)
| line_equal(q,p)
| ~ incident(a,q)
| ~ incident(a,p) ),
inference(instantiation,[status(thm)],[c_9116]) ).
tcf(c_9153,plain,
( point_equal(i,c)
| line_equal(s,r)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(c,s)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_1804]) ).
tcf(c_9600,plain,
( point_equal(g,c)
| line_equal(n,o)
| ~ incident(g,o)
| ~ incident(g,n)
| ~ incident(c,o)
| ~ incident(c,n) ),
inference(instantiation,[status(thm)],[c_1867]) ).
tcf(c_9644,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,r)
| point_equal(X0_iProver_incident_1,i)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(resolution,[status(thm)],[c_1636,c_215]) ).
tcf(c_9645,plain,
( point_equal(a,i)
| line_equal(s,r)
| ~ incident(a,s)
| ~ incident(a,r) ),
inference(instantiation,[status(thm)],[c_9644]) ).
tcf(c_10078,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(r,s)
| point_equal(X0_iProver_incident_1,i)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(resolution,[status(thm)],[c_1638,c_214]) ).
tcf(c_10079,plain,
( point_equal(a,i)
| line_equal(r,s)
| ~ incident(a,s)
| ~ incident(a,r) ),
inference(instantiation,[status(thm)],[c_10078]) ).
tcf(c_10192,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(g,q)
| ~ point_equal(g,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q) ),
inference(instantiation,[status(thm)],[c_1766]) ).
tcf(c_10193,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(c,q)
| ~ point_equal(c,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q) ),
inference(instantiation,[status(thm)],[c_1766]) ).
tcf(c_10307,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(n,l)
| point_equal(X0_iProver_incident_1,b)
| ~ incident(X0_iProver_incident_1,n)
| ~ incident(X0_iProver_incident_1,l) ),
inference(resolution,[status(thm)],[c_1640,c_753]) ).
tcf(c_10308,plain,
( point_equal(a,b)
| line_equal(n,l)
| ~ incident(a,n)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_10307]) ).
tcf(c_10313,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,b)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(X0_iProver_incident_1,l)
| ~ line_equal(p,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_1640,c_1149]) ).
tcf(c_10333,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ incident(h,s)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_1800]) ).
tcf(c_10452,plain,
( incident(g,l)
| ~ incident(g,o)
| ~ line_equal(o,l) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_10458,plain,
( incident(d,l)
| ~ incident(d,p)
| ~ line_equal(p,l) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_10459,plain,
( incident(h,l)
| ~ incident(h,p)
| ~ line_equal(p,l) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_10476,plain,
( incident(i,l)
| ~ incident(i,r)
| ~ line_equal(r,l) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_10490,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(c,f)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(f,m)
| ~ incident(c,m)
| ~ incident(f,X0_iProver_line_equal_1)
| ~ incident(c,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_10496,plain,
( point_equal(c,f)
| line_equal(n,m)
| ~ incident(f,n)
| ~ incident(f,m)
| ~ incident(c,n)
| ~ incident(c,m) ),
inference(instantiation,[status(thm)],[c_10490]) ).
tcf(c_10797,plain,
( incident(h,sK1(i,h))
| ~ point_equal(i,i)
| ~ point_equal(h,h) ),
inference(instantiation,[status(thm)],[c_625]) ).
tcf(c_11025,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,e)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(g,o)
| ~ incident(e,o)
| ~ incident(g,X0_iProver_line_equal_1)
| ~ incident(e,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_11026,plain,
( point_equal(g,e)
| line_equal(n,o)
| ~ incident(g,o)
| ~ incident(g,n)
| ~ incident(e,o)
| ~ incident(e,n) ),
inference(instantiation,[status(thm)],[c_11025]) ).
tcf(c_11112,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(e,X0_iProver_line_equal_1)
| ~ point_equal(e,f)
| ~ incident(f,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_11113,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(e,X0_iProver_line_equal_1)
| ~ point_equal(e,g)
| ~ incident(g,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_11114,plain,
( incident(e,n)
| ~ point_equal(e,g)
| ~ incident(g,n) ),
inference(instantiation,[status(thm)],[c_11113]) ).
tcf(c_11115,plain,
( incident(e,n)
| ~ point_equal(e,f)
| ~ incident(f,n) ),
inference(instantiation,[status(thm)],[c_11112]) ).
tcf(c_11132,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,s)
| ~ incident(e,q)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,q) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_11137,plain,
( point_equal(a,e)
| line_equal(s,q)
| ~ incident(e,s)
| ~ incident(e,q)
| ~ incident(a,s)
| ~ incident(a,q) ),
inference(instantiation,[status(thm)],[c_11132]) ).
tcf(c_11510,plain,
( ~ point_equal(i,i)
| ~ incident(h,sK1(i,h))
| ~ incident(g,sK1(i,h)) ),
inference(resolution,[status(thm)],[c_1581,c_194]) ).
tcf(c_11523,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(sK1(c,h),l)
| ~ point_equal(c,c)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,sK1(c,h)) ),
inference(resolution,[status(thm)],[c_1581,c_1626]) ).
tcf(c_11524,plain,
( point_equal(a,c)
| line_equal(sK1(c,h),l)
| ~ point_equal(c,c)
| ~ incident(a,l)
| ~ incident(a,sK1(c,h)) ),
inference(instantiation,[status(thm)],[c_11523]) ).
tcf(c_11609,plain,
( point_equal(c,e)
| line_equal(o,l)
| ~ incident(e,l)
| ~ incident(c,o) ),
inference(superposition,[status(thm)],[c_2868,c_2438]) ).
tcf(c_11610,plain,
( point_equal(c,d)
| line_equal(p,l)
| ~ incident(d,l)
| ~ incident(c,p) ),
inference(superposition,[status(thm)],[c_2869,c_2438]) ).
tcf(c_11612,plain,
( point_equal(c,d)
| line_equal(r,l)
| ~ incident(d,l)
| ~ incident(c,r) ),
inference(superposition,[status(thm)],[c_2871,c_2438]) ).
tcf(c_11615,plain,
( point_equal(c,d)
| line_equal(m,l)
| ~ incident(d,l)
| ~ incident(c,m) ),
inference(superposition,[status(thm)],[c_2961,c_2438]) ).
tcf(c_11616,plain,
( point_equal(c,b)
| line_equal(n,l)
| ~ incident(c,n)
| ~ incident(b,l) ),
inference(superposition,[status(thm)],[c_2962,c_2438]) ).
tcf(c_11618,plain,
( point_equal(c,b)
| line_equal(p,l)
| ~ incident(c,p)
| ~ incident(b,l) ),
inference(superposition,[status(thm)],[c_2964,c_2438]) ).
tcf(c_11619,plain,
( point_equal(c,a)
| line_equal(q,l)
| ~ incident(c,q)
| ~ incident(a,l) ),
inference(superposition,[status(thm)],[c_2965,c_2438]) ).
tcf(c_11631,plain,
( point_equal(c,a)
| line_equal(q,l)
| ~ incident(c,q) ),
inference(global_subsumption_just,[status(thm)],[c_11619,c_49,c_152,c_11619]) ).
tcf(c_11636,plain,
( point_equal(c,b)
| line_equal(p,l)
| ~ incident(c,p) ),
inference(global_subsumption_just,[status(thm)],[c_11618,c_49,c_138,c_11618]) ).
tcf(c_11648,plain,
( point_equal(c,d)
| ~ incident(c,m)
| ~ incident(d,l) ),
inference(global_subsumption_just,[status(thm)],[c_11615,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_143,c_144,c_145,c_152,c_153,c_154,c_156,c_157,c_158,c_159,c_519,c_649,c_650,c_1186,c_1788,c_1861,c_1909,c_2040,c_2100,c_2307,c_2781,c_4567,c_4722,c_4992,c_5020,c_5291,c_5582,c_5675,c_5909,c_6060,c_7335,c_8135,c_8433,c_8650,c_10079,c_11026,c_11615]) ).
tcf(c_11649,plain,
( point_equal(c,d)
| ~ incident(d,l)
| ~ incident(c,m) ),
inference(renaming,[status(thm)],[c_11648]) ).
tcf(c_11669,plain,
( point_equal(c,d)
| line_equal(p,l)
| ~ incident(d,l) ),
inference(global_subsumption_just,[status(thm)],[c_11610,c_78,c_59,c_58,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_649,c_650,c_894,c_905,c_1006,c_1175,c_1186,c_1788,c_1861,c_1973,c_2310,c_2318,c_2540,c_2978,c_3823,c_3931,c_4567,c_4722,c_4992,c_5014,c_5205,c_5365,c_5582,c_5675,c_6844,c_7335,c_7604,c_8433,c_8650,c_9117,c_10079,c_11649]) ).
tcf(c_12027,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,c)
| line_equal(sK1(c,i),l)
| ~ point_equal(c,c)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,sK1(c,i)) ),
inference(resolution,[status(thm)],[c_1583,c_1626]) ).
tcf(c_12028,plain,
( point_equal(a,c)
| line_equal(sK1(c,i),l)
| ~ point_equal(c,c)
| ~ incident(a,l)
| ~ incident(a,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_12027]) ).
tcf(c_12555,plain,
( point_equal(f,c)
| line_equal(o,m)
| ~ incident(f,o)
| ~ incident(c,m) ),
inference(superposition,[status(thm)],[c_2963,c_2533]) ).
tcf(c_12556,plain,
( point_equal(f,b)
| line_equal(p,m)
| ~ incident(f,p)
| ~ incident(b,m) ),
inference(superposition,[status(thm)],[c_2964,c_2533]) ).
tcf(c_12558,plain,
( point_equal(f,c)
| line_equal(r,m)
| ~ incident(f,r)
| ~ incident(c,m) ),
inference(superposition,[status(thm)],[c_2966,c_2533]) ).
tcf(c_12559,plain,
( point_equal(f,a)
| line_equal(s,m)
| ~ incident(f,s)
| ~ incident(a,m) ),
inference(superposition,[status(thm)],[c_2967,c_2533]) ).
tcf(c_12567,plain,
( point_equal(f,c)
| line_equal(r,m)
| ~ incident(f,r) ),
inference(global_subsumption_just,[status(thm)],[c_12558,c_78,c_59,c_58,c_56,c_55,c_54,c_53,c_51,c_50,c_49,c_130,c_131,c_134,c_135,c_136,c_137,c_138,c_140,c_142,c_144,c_145,c_152,c_153,c_154,c_156,c_157,c_158,c_159,c_487,c_649,c_650,c_777,c_1186,c_1305,c_1788,c_1861,c_2116,c_2502,c_2722,c_2781,c_3139,c_3823,c_4485,c_4722,c_5020,c_5675,c_5914,c_5940,c_6843,c_7335,c_8433,c_11669,c_12558]) ).
tcf(c_12576,plain,
( ~ incident(f,p)
| line_equal(p,m) ),
inference(global_subsumption_just,[status(thm)],[c_12556,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_487,c_648,c_649,c_650,c_745,c_1186,c_1196,c_1202,c_1292,c_1310,c_1599,c_1774,c_1788,c_1837,c_1861,c_1973,c_2040,c_2503,c_2516,c_2687,c_2781,c_4722,c_4792,c_4956,c_5020,c_5097,c_5236,c_5291,c_5659,c_5909,c_5911,c_6462,c_6542,c_7184,c_8215]) ).
tcf(c_12577,plain,
( line_equal(p,m)
| ~ incident(f,p) ),
inference(renaming,[status(thm)],[c_12576]) ).
tcf(c_12580,plain,
( ~ incident(f,o)
| line_equal(o,m) ),
inference(global_subsumption_just,[status(thm)],[c_12555,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_143,c_145,c_152,c_154,c_155,c_156,c_157,c_158,c_159,c_509,c_648,c_649,c_650,c_742,c_1186,c_1201,c_1963,c_2002,c_2047,c_2056,c_2579,c_2670,c_3030,c_3168,c_3823,c_4379,c_4992,c_5123,c_5291,c_5365,c_5523,c_5582,c_5654,c_6541,c_7185,c_7604,c_9117]) ).
tcf(c_12581,plain,
( line_equal(o,m)
| ~ incident(f,o) ),
inference(renaming,[status(thm)],[c_12580]) ).
tcf(c_12683,plain,
( incident(i,o)
| ~ point_equal(i,c)
| ~ incident(c,o) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_12883,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(h,X0_iProver_incident_1)
| ~ point_equal(X0_iProver_incident_1,h) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_13185,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,m)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,m) ),
inference(resolution,[status(thm)],[c_1642,c_225]) ).
tcf(c_13186,plain,
( point_equal(a,e)
| line_equal(q,m)
| ~ incident(a,q)
| ~ incident(a,m) ),
inference(instantiation,[status(thm)],[c_13185]) ).
tcf(c_13239,plain,
( incident(sK2(p,q),p)
| ~ line_equal(q,q)
| ~ line_equal(p,p) ),
inference(instantiation,[status(thm)],[c_1299]) ).
tcf(c_13875,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_incident_1: iProver_incident_1,X4_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_incident_1: iProver_incident_1,X5_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_incident_1: iProver_incident_1,X6_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| incident(b,X0_iProver_line_equal_1)
| incident(a,X0_iProver_line_equal_1)
| incident(X2_iProver_incident_1,l)
| incident(X1_iProver_incident_1,l)
| incident(X0_iProver_incident_1,l)
| colinear(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1,sK0(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1))
| ~ colinear(c,X1_iProver_incident_1,X5_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,X0_iProver_incident_1,X4_iProver_incident_1,X6_iProver_line_equal_1)
| ~ colinear(b,X2_iProver_incident_1,X5_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,X0_iProver_incident_1,X3_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(a,X2_iProver_incident_1,X4_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,X1_iProver_incident_1,X3_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_122,c_103]) ).
tcf(c_14764,plain,
( incident(d,q)
| ~ incident(d,m)
| ~ line_equal(m,q) ),
inference(instantiation,[status(thm)],[c_560]) ).
tcf(c_14883,plain,
( incident(i,sK1(i,c))
| ~ point_equal(i,i)
| ~ point_equal(c,c) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_14892,plain,
( incident(i,sK1(i,h))
| ~ point_equal(i,i)
| ~ point_equal(h,h) ),
inference(instantiation,[status(thm)],[c_624]) ).
tcf(c_14935,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(X0_iProver_incident_1,p)
| ~ line_equal(m,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_1647,c_1144]) ).
tcf(c_15123,plain,
( incident(g,m)
| ~ point_equal(g,e)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_15174,plain,
( incident(e,p)
| ~ point_equal(e,h)
| ~ incident(h,p) ),
inference(instantiation,[status(thm)],[c_710]) ).
tcf(c_15181,plain,
( incident(h,o)
| ~ point_equal(h,e)
| ~ incident(e,o) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_15195,plain,
( incident(d,o)
| ~ point_equal(d,e)
| ~ incident(e,o) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_15220,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,m) ),
inference(resolution,[status(thm)],[c_1649,c_221]) ).
tcf(c_15222,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(o,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,o) ),
inference(resolution,[status(thm)],[c_1649,c_223]) ).
tcf(c_15223,plain,
( point_equal(a,e)
| line_equal(o,q)
| ~ incident(a,q)
| ~ incident(a,o) ),
inference(instantiation,[status(thm)],[c_15222]) ).
tcf(c_15225,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,e)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(X0_iProver_incident_1,q)
| ~ line_equal(m,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_1649,c_1130]) ).
tcf(c_15392,plain,
( incident(b,r)
| ~ point_equal(b,d)
| ~ incident(d,r) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_15394,plain,
( incident(e,r)
| ~ point_equal(e,d)
| ~ incident(d,r) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_15473,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,q)
| point_equal(X0_iProver_incident_1,h)
| ~ incident(h,q)
| ~ incident(h,l)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_488]) ).
tcf(c_15479,plain,
( point_equal(a,h)
| line_equal(l,q)
| ~ incident(h,q)
| ~ incident(h,l)
| ~ incident(a,q)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_15473]) ).
tcf(c_15556,plain,
( incident(h,o)
| ~ point_equal(h,c)
| ~ incident(c,o) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_15714,plain,
( incident(g,r)
| ~ point_equal(g,c)
| ~ incident(c,r) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_16094,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(h,o)
| ~ point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,o) ),
inference(instantiation,[status(thm)],[c_5013]) ).
tcf(c_16095,plain,
( incident(h,o)
| ~ point_equal(h,a)
| ~ incident(a,o) ),
inference(instantiation,[status(thm)],[c_16094]) ).
tcf(c_16168,plain,
incident(c,l),
inference(superposition,[status(thm)],[c_122,c_112]) ).
tcf(c_16172,plain,
incident(h,p),
inference(superposition,[status(thm)],[c_118,c_112]) ).
tcf(c_16173,plain,
incident(h,q),
inference(superposition,[status(thm)],[c_117,c_112]) ).
tcf(c_16174,plain,
incident(i,r),
inference(superposition,[status(thm)],[c_116,c_112]) ).
tcf(c_16175,plain,
incident(i,s),
inference(superposition,[status(thm)],[c_115,c_112]) ).
tcf(c_16183,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_16168,c_102]) ).
tcf(c_16184,plain,
point_equal(c,c),
inference(superposition,[status(thm)],[c_16168,c_111]) ).
tcf(c_16245,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,r)
| point_equal(X0_iProver_incident_1,d)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,m) ),
inference(resolution,[status(thm)],[c_1651,c_752]) ).
tcf(c_16246,plain,
( point_equal(a,d)
| line_equal(m,r)
| ~ incident(a,r)
| ~ incident(a,m) ),
inference(instantiation,[status(thm)],[c_16245]) ).
tcf(c_16311,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,q)
| point_equal(X0_iProver_incident_1,e)
| ~ incident(e,q)
| ~ incident(e,l)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,l) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_16312,plain,
( point_equal(a,e)
| line_equal(l,q)
| ~ incident(e,q)
| ~ incident(e,l)
| ~ incident(a,q)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_16311]) ).
tcf(c_16584,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(h,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_16172,c_102]) ).
tcf(c_16585,plain,
point_equal(h,h),
inference(superposition,[status(thm)],[c_16172,c_111]) ).
tcf(c_16605,plain,
line_equal(q,q),
inference(superposition,[status(thm)],[c_16173,c_108]) ).
tcf(c_16622,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_16174,c_102]) ).
tcf(c_16623,plain,
point_equal(i,i),
inference(superposition,[status(thm)],[c_16174,c_111]) ).
tcf(c_16671,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,f)
| line_equal(X0_iProver_line_equal_1,s)
| ~ incident(X0_iProver_incident_1,s)
| ~ line_equal(m,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_1653,c_1119]) ).
tcf(c_16839,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(c,X0_iProver_incident_1))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_16184,c_100]) ).
tcf(c_17200,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,h))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_16585,c_101]) ).
tcf(c_17363,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,q),X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_16605,c_99]) ).
tcf(c_17402,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,i))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_16623,c_101]) ).
tcf(c_17485,plain,
( point_equal(e,a)
| ~ point_equal(a,e) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_17625,plain,
incident(b,l),
inference(superposition,[status(thm)],[c_122,c_113]) ).
tcf(c_17626,plain,
incident(e,m),
inference(superposition,[status(thm)],[c_121,c_113]) ).
tcf(c_17628,plain,
incident(e,o),
inference(superposition,[status(thm)],[c_119,c_113]) ).
tcf(c_17629,plain,
incident(d,p),
inference(superposition,[status(thm)],[c_118,c_113]) ).
tcf(c_17630,plain,
incident(e,q),
inference(superposition,[status(thm)],[c_117,c_113]) ).
tcf(c_17631,plain,
incident(d,r),
inference(superposition,[status(thm)],[c_116,c_113]) ).
tcf(c_17632,plain,
incident(f,s),
inference(superposition,[status(thm)],[c_115,c_113]) ).
tcf(c_17663,plain,
incident(a,l),
inference(superposition,[status(thm)],[c_122,c_114]) ).
tcf(c_17664,plain,
incident(d,m),
inference(superposition,[status(thm)],[c_121,c_114]) ).
tcf(c_17665,plain,
incident(b,n),
inference(superposition,[status(thm)],[c_120,c_114]) ).
tcf(c_17668,plain,
incident(a,q),
inference(superposition,[status(thm)],[c_117,c_114]) ).
tcf(c_17669,plain,
incident(c,r),
inference(superposition,[status(thm)],[c_116,c_114]) ).
tcf(c_17670,plain,
incident(a,s),
inference(superposition,[status(thm)],[c_115,c_114]) ).
tcf(c_17722,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(b,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17625,c_102]) ).
tcf(c_17723,plain,
point_equal(b,b),
inference(superposition,[status(thm)],[c_17625,c_111]) ).
tcf(c_17793,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(e,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17626,c_102]) ).
tcf(c_18080,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(e,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,o)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17628,c_102]) ).
tcf(c_18117,plain,
( incident(g,q)
| ~ incident(g,o)
| ~ line_equal(o,q) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_18137,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(d,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17629,c_102]) ).
tcf(c_18157,plain,
( line_equal(o,q)
| ~ line_equal(q,o) ),
inference(instantiation,[status(thm)],[c_773]) ).
tcf(c_18162,plain,
( incident(a,o)
| ~ incident(a,q)
| ~ line_equal(q,o) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_18238,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(e,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17630,c_102]) ).
tcf(c_18300,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(d,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17631,c_102]) ).
tcf(c_18396,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(a,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(a,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17663,c_102]) ).
tcf(c_18720,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(a,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(a,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17668,c_102]) ).
tcf(c_18767,plain,
( incident(h,m)
| ~ incident(h,p)
| ~ line_equal(p,m) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_18770,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_17669,c_102]) ).
tcf(c_19010,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,b))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_17723,c_101]) ).
tcf(c_19561,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,l)
| incident(e,l)
| incident(d,l)
| incident(c,m)
| incident(b,m)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_121,c_13875]) ).
tcf(c_19827,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,o)
| point_equal(X0_iProver_incident_1,c)
| ~ incident(X0_iProver_incident_1,o)
| ~ incident(X0_iProver_incident_1,l) ),
inference(resolution,[status(thm)],[c_1659,c_208]) ).
tcf(c_19828,plain,
( point_equal(a,c)
| line_equal(l,o)
| ~ incident(a,o)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_19827]) ).
tcf(c_20057,plain,
( incident(g,sK1(i,h))
| ~ point_equal(g,h)
| ~ incident(h,sK1(i,h)) ),
inference(instantiation,[status(thm)],[c_1256]) ).
tcf(c_20058,plain,
( incident(g,sK1(i,h))
| ~ point_equal(g,i)
| ~ incident(i,sK1(i,h)) ),
inference(instantiation,[status(thm)],[c_1360]) ).
tcf(c_20920,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(g,i)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(i,r)
| ~ incident(g,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_21236,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,q),q)
| ~ line_equal(q,q)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_21962,plain,
( incident(g,p)
| ~ incident(g,m)
| ~ line_equal(m,p) ),
inference(instantiation,[status(thm)],[c_7434]) ).
tcf(c_22493,plain,
( incident(g,q)
| ~ point_equal(g,c)
| ~ incident(c,q) ),
inference(instantiation,[status(thm)],[c_10192]) ).
tcf(c_22512,plain,
( incident(c,q)
| ~ point_equal(c,i)
| ~ incident(i,q) ),
inference(instantiation,[status(thm)],[c_10193]) ).
tcf(c_24012,plain,
( point_equal(e,g)
| line_equal(q,o)
| ~ incident(g,q)
| ~ incident(g,o)
| ~ incident(e,q)
| ~ incident(e,o) ),
inference(instantiation,[status(thm)],[c_951]) ).
tcf(c_24140,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(resolution,[status(thm)],[c_3163,c_1121]) ).
tcf(c_24145,plain,
( ~ incident(g,q)
| ~ line_equal(r,q) ),
inference(resolution,[status(thm)],[c_3163,c_213]) ).
tcf(c_24182,plain,
( point_equal(g,i)
| line_equal(r,s)
| ~ incident(i,s)
| ~ incident(i,r)
| ~ incident(g,s)
| ~ incident(g,r) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_24209,plain,
( point_equal(g,b)
| line_equal(r,l)
| ~ incident(g,r)
| ~ incident(g,l)
| ~ incident(b,r)
| ~ incident(b,l) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_24245,plain,
( point_equal(d,e)
| line_equal(o,m)
| ~ incident(e,o)
| ~ incident(e,m)
| ~ incident(d,o)
| ~ incident(d,m) ),
inference(instantiation,[status(thm)],[c_1063]) ).
tcf(c_24325,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ line_equal(s,X0_iProver_line_equal_1)
| ~ incident(g,X0_iProver_line_equal_1) ),
inference(global_subsumption_just,[status(thm)],[c_3164,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_136,c_138,c_140,c_142,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_467,c_485,c_498,c_595,c_649,c_654,c_742,c_761,c_1127,c_1909,c_2056,c_2116,c_2151,c_2310,c_2426,c_2506,c_2512,c_2722,c_3021,c_3164,c_3183,c_5096,c_5365,c_5617,c_8135,c_9117,c_9600,c_10308,c_10333,c_10797,c_11510,c_11618,c_12581,c_14892,c_15714,c_20058,c_20920]) ).
tcf(c_24326,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(s,X0_iProver_line_equal_1) ),
inference(renaming,[status(thm)],[c_24325]) ).
tcf(c_24327,plain,
( ~ incident(g,n)
| ~ line_equal(s,n) ),
inference(instantiation,[status(thm)],[c_24326]) ).
tcf(c_24428,plain,
( point_equal(h,e)
| line_equal(m,q)
| ~ incident(h,q)
| ~ incident(h,m)
| ~ incident(e,q)
| ~ incident(e,m) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_24521,plain,
~ incident(g,q),
inference(global_subsumption_just,[status(thm)],[c_24145,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_485,c_498,c_648,c_725,c_745,c_903,c_907,c_1016,c_2178,c_2506,c_2563,c_2687,c_4567,c_5000,c_5635,c_5661,c_6462,c_6545,c_7335,c_7495,c_7763,c_7928,c_8650,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_15123,c_15392,c_15714,c_18162,c_19828,c_20057,c_21962,c_24012,c_24209]) ).
tcf(c_24653,plain,
( point_equal(c,e)
| line_equal(q,l)
| ~ incident(e,l)
| ~ incident(c,q) ),
inference(superposition,[status(thm)],[c_17630,c_16183]) ).
tcf(c_24655,plain,
( point_equal(c,f)
| line_equal(s,l)
| ~ incident(f,l)
| ~ incident(c,s) ),
inference(superposition,[status(thm)],[c_17632,c_16183]) ).
tcf(c_24657,plain,
( point_equal(c,d)
| line_equal(m,l)
| ~ incident(d,l)
| ~ incident(c,m) ),
inference(superposition,[status(thm)],[c_17664,c_16183]) ).
tcf(c_24658,plain,
( point_equal(c,b)
| line_equal(n,l)
| ~ incident(c,n)
| ~ incident(b,l) ),
inference(superposition,[status(thm)],[c_17665,c_16183]) ).
tcf(c_24661,plain,
( point_equal(c,a)
| line_equal(q,l)
| ~ incident(c,q)
| ~ incident(a,l) ),
inference(superposition,[status(thm)],[c_17668,c_16183]) ).
tcf(c_24663,plain,
( point_equal(c,a)
| line_equal(s,l)
| ~ incident(c,s)
| ~ incident(a,l) ),
inference(superposition,[status(thm)],[c_17670,c_16183]) ).
tcf(c_24666,plain,
( point_equal(c,a)
| ~ incident(c,s) ),
inference(global_subsumption_just,[status(thm)],[c_24663,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428]) ).
tcf(c_24668,plain,
~ incident(c,s),
inference(global_subsumption_just,[status(thm)],[c_24666,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_485,c_498,c_648,c_649,c_650,c_723,c_725,c_727,c_745,c_903,c_907,c_1016,c_1788,c_1909,c_2178,c_2506,c_2563,c_2687,c_3057,c_3775,c_4457,c_4567,c_4668,c_4749,c_5000,c_5365,c_5581,c_5635,c_5661,c_6447,c_6462,c_6545,c_7335,c_7495,c_7763,c_7928,c_8650,c_9117,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12683,c_15123,c_15223,c_15392,c_15714,c_16095,c_16246,c_18117,c_18162,c_19828,c_20057,c_21962,c_24012,c_24209,c_24666]) ).
tcf(c_24672,plain,
~ incident(c,q),
inference(global_subsumption_just,[status(thm)],[c_24661,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_485,c_498,c_648,c_650,c_725,c_745,c_903,c_907,c_998,c_1016,c_1186,c_1593,c_1854,c_1861,c_1909,c_2058,c_2178,c_2506,c_2512,c_2563,c_2687,c_4567,c_4955,c_5000,c_5020,c_5635,c_5661,c_6462,c_6542,c_6544,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_11631,c_11636,c_15123,c_15392,c_15714,c_18117,c_18157,c_18162,c_19828,c_20057,c_21962,c_22493,c_24012,c_24209,c_24668]) ).
tcf(c_24680,plain,
~ incident(c,n),
inference(global_subsumption_just,[status(thm)],[c_24658,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_903,c_907,c_1016,c_1196,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_1972,c_1992,c_2058,c_2103,c_2104,c_2178,c_2502,c_2506,c_2512,c_2511,c_2540,c_2563,c_2687,c_3057,c_3167,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5197,c_5303,c_5582,c_5581,c_5635,c_5661,c_5752,c_6462,c_6463,c_6541,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_9153,c_9600,c_9645,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11616,c_12577,c_12683,c_13186,c_14764,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428]) ).
tcf(c_24682,plain,
~ incident(c,m),
inference(global_subsumption_just,[status(thm)],[c_24657,c_78,c_59,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_157,c_158,c_159,c_485,c_498,c_519,c_650,c_765,c_895,c_1909,c_2056,c_2312,c_2506,c_2512,c_2516,c_2670,c_3168,c_4958,c_5365,c_5582,c_5617,c_8135,c_8990,c_10459,c_10797,c_11026,c_11510,c_11618,c_14892,c_15479,c_20058,c_24182,c_24521,c_24672,c_24680]) ).
tcf(c_24686,plain,
~ incident(f,l),
inference(global_subsumption_just,[status(thm)],[c_24655,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428]) ).
tcf(c_24692,plain,
~ incident(e,l),
inference(global_subsumption_just,[status(thm)],[c_24653,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2002,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2318,c_2324,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2949,c_2948,c_2978,c_3057,c_3167,c_3168,c_3180,c_3319,c_3775,c_4397,c_4457,c_4529,c_4543,c_4567,c_4697,c_4749,c_4784,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8133,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10452,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_11609,c_12559,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_16312,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428]) ).
tcf(c_24727,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,l)
| incident(e,l)
| incident(d,l)
| incident(b,m)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_19561,c_24682]) ).
tcf(c_24751,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,l)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| incident(a,m) ),
inference(global_subsumption_just,[status(thm)],[c_24727,c_78,c_57,c_54,c_52,c_51,c_50,c_49,c_131,c_132,c_133,c_138,c_139,c_140,c_141,c_143,c_154,c_519,c_1837,c_5309,c_5582,c_6058,c_11026,c_24521,c_24682,c_24686,c_24692]) ).
tcf(c_24752,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,l)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(renaming,[status(thm)],[c_24751]) ).
tcf(c_26685,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,p)
| point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(superposition,[status(thm)],[c_16173,c_16584]) ).
tcf(c_26689,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,q)
| point_equal(h,X0_iProver_incident_1) ),
inference(global_subsumption_just,[status(thm)],[c_26685,c_78,c_58,c_649,c_9116,c_12883]) ).
tcf(c_26690,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(renaming,[status(thm)],[c_26689]) ).
tcf(c_26772,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,r)
| point_equal(i,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(superposition,[status(thm)],[c_16175,c_16622]) ).
tcf(c_26776,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,s)
| point_equal(i,X0_iProver_incident_1) ),
inference(global_subsumption_just,[status(thm)],[c_26772,c_78,c_59,c_650,c_8649,c_10078]) ).
tcf(c_26777,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(renaming,[status(thm)],[c_26776]) ).
tcf(c_26905,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X1_iProver_incident_1,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,sK1(c,X1_iProver_incident_1))
| ~ point_equal(X1_iProver_incident_1,X1_iProver_incident_1)
| ~ incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,sK1(c,X1_iProver_incident_1)) ),
inference(superposition,[status(thm)],[c_16839,c_102]) ).
tcf(c_26911,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1)
| ~ line_equal(sK1(c,X0_iProver_incident_1),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_16839,c_104]) ).
tcf(c_26987,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X1_iProver_incident_1,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,sK1(c,X1_iProver_incident_1))
| ~ incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,sK1(c,X1_iProver_incident_1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26905,c_111]) ).
tcf(c_28745,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(m,q)
| point_equal(e,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,m) ),
inference(resolution,[status(thm)],[c_15220,c_110]) ).
tcf(c_28746,plain,
( point_equal(e,a)
| line_equal(m,q)
| ~ incident(a,q)
| ~ incident(a,m) ),
inference(instantiation,[status(thm)],[c_28745]) ).
tcf(c_29950,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ point_equal(h,d)
| ~ incident(d,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_5013]) ).
tcf(c_30620,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( ~ incident(g,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(global_subsumption_just,[status(thm)],[c_24140,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_953,c_998,c_1016,c_1139,c_1152,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2312,c_2310,c_2502,c_2507,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_3057,c_3163,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_5934,c_6074,c_6462,c_6463,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24245,c_24327,c_24428,c_29950]) ).
tcf(c_30654,plain,
~ line_equal(r,o),
inference(resolution,[status(thm)],[c_30620,c_211]) ).
tcf(c_31897,plain,
( incident(c,sK1(c,h))
| ~ point_equal(h,h)
| ~ point_equal(c,c) ),
inference(instantiation,[status(thm)],[c_624]) ).
tcf(c_31900,plain,
( incident(c,sK1(c,i))
| ~ point_equal(i,i)
| ~ point_equal(c,c) ),
inference(instantiation,[status(thm)],[c_636]) ).
tcf(c_31903,plain,
( incident(c,sK1(c,b))
| ~ point_equal(c,c)
| ~ point_equal(b,b) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_34842,plain,
( incident(sK2(p,q),q)
| ~ line_equal(q,q)
| ~ line_equal(p,p) ),
inference(instantiation,[status(thm)],[c_21236]) ).
tcf(c_34843,plain,
( line_equal(p,q)
| point_equal(sK2(p,q),h)
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(sK2(p,q),q)
| ~ incident(sK2(p,q),p) ),
inference(instantiation,[status(thm)],[c_7498]) ).
tcf(c_35336,plain,
( point_equal(b,c)
| line_equal(p,l)
| ~ incident(b,l)
| ~ line_equal(r,p) ),
inference(resolution,[status(thm)],[c_6743,c_755]) ).
tcf(c_35838,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,h),sK1(X0_iProver_incident_1,h))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_17200,c_108]) ).
tcf(c_36125,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(q,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,q) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_36178,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ line_equal(q,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_36183,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,s)
| ~ incident(X1_iProver_incident_1,s)
| ~ point_equal(X0_iProver_incident_1,X1_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_36186,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(s,r)
| ~ line_equal(s,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,r) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_36195,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,h)
| ~ point_equal(X1_iProver_incident_1,h)
| ~ point_equal(X0_iProver_incident_1,X1_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_36331,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(i,sK1(X0_iProver_incident_1,i))
| ~ point_equal(i,i)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_36344,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( line_equal(p,q)
| point_equal(X0_iProver_incident_1,X1_iProver_incident_1)
| ~ incident(X1_iProver_incident_1,q)
| ~ incident(X1_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_36349,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( line_equal(r,X0_iProver_line_equal_1)
| point_equal(X0_iProver_incident_1,X1_iProver_incident_1)
| ~ incident(X1_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_36350,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( line_equal(s,X0_iProver_line_equal_1)
| point_equal(X0_iProver_incident_1,X1_iProver_incident_1)
| ~ incident(X1_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X1_iProver_incident_1,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_36431,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ incident(d,r)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_36526,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,r)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_36925,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(h,s)
| ~ point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,s) ),
inference(instantiation,[status(thm)],[c_36183]) ).
tcf(c_37064,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( line_equal(p,q)
| point_equal(X0_iProver_incident_1,sK2(p,X0_iProver_line_equal_1))
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(sK2(p,X0_iProver_line_equal_1),q)
| ~ incident(sK2(p,X0_iProver_line_equal_1),p) ),
inference(instantiation,[status(thm)],[c_36344]) ).
tcf(c_37306,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(r,X0_iProver_line_equal_1)
| ~ incident(i,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_36349]) ).
tcf(c_37324,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(s,X0_iProver_line_equal_1)
| ~ incident(i,s)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_36350]) ).
tcf(c_37339,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(i,a)
| line_equal(s,X0_iProver_line_equal_1)
| ~ incident(i,s)
| ~ incident(a,s)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(a,X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_36350]) ).
tcf(c_38365,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1] :
( line_equal(X1_iProver_line_equal_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1))
| ~ line_equal(X1_iProver_line_equal_1,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_38599,plain,
( point_equal(i,a)
| line_equal(s,l)
| ~ incident(i,s)
| ~ incident(i,l)
| ~ incident(a,s)
| ~ incident(a,l) ),
inference(instantiation,[status(thm)],[c_37339]) ).
tcf(c_38757,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(p,q)
| point_equal(X0_iProver_incident_1,sK2(p,q))
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(sK2(p,q),q)
| ~ incident(sK2(p,q),p) ),
inference(instantiation,[status(thm)],[c_37064]) ).
tcf(c_39008,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(c,sK1(X0_iProver_incident_1,c))
| ~ point_equal(c,c)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_39088,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,i),sK1(X0_iProver_incident_1,i))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_17402,c_108]) ).
tcf(c_39301,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(r,sK1(X1_iProver_incident_1,i))
| ~ incident(i,r)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(i,sK1(X1_iProver_incident_1,i))
| ~ incident(X0_iProver_incident_1,sK1(X1_iProver_incident_1,i)) ),
inference(instantiation,[status(thm)],[c_37306]) ).
tcf(c_39305,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(r,sK1(i,X1_iProver_incident_1))
| ~ incident(i,r)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(i,sK1(i,X1_iProver_incident_1))
| ~ incident(X0_iProver_incident_1,sK1(i,X1_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_37306]) ).
tcf(c_39551,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(s,sK1(X1_iProver_incident_1,i))
| ~ incident(i,s)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(i,sK1(X1_iProver_incident_1,i))
| ~ incident(X0_iProver_incident_1,sK1(X1_iProver_incident_1,i)) ),
inference(instantiation,[status(thm)],[c_37324]) ).
tcf(c_40230,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,X1_iProver_line_equal_1),s)
| ~ incident(X0_iProver_incident_1,s)
| ~ point_equal(sK2(X0_iProver_line_equal_1,X1_iProver_line_equal_1),X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_36183]) ).
tcf(c_40240,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(g,sK1(g,X0_iProver_incident_1))
| ~ point_equal(g,g)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_42103,plain,
( line_equal(p,q)
| point_equal(h,sK2(p,q))
| ~ incident(h,q)
| ~ incident(h,p)
| ~ incident(sK2(p,q),q)
| ~ incident(sK2(p,q),p) ),
inference(instantiation,[status(thm)],[c_38757]) ).
tcf(c_43567,plain,
( point_equal(e,d)
| line_equal(p,m)
| ~ incident(e,p)
| ~ incident(d,m) ),
inference(superposition,[status(thm)],[c_17629,c_17793]) ).
tcf(c_43635,plain,
( point_equal(e,d)
| ~ incident(e,p) ),
inference(global_subsumption_just,[status(thm)],[c_43567,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1837,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6058,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7671,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_43567]) ).
tcf(c_44297,plain,
( incident(i,sK1(g,i))
| ~ point_equal(i,i)
| ~ point_equal(g,g) ),
inference(instantiation,[status(thm)],[c_36331]) ).
tcf(c_44763,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( incident(X1_iProver_incident_1,sK1(X0_iProver_incident_1,h))
| ~ incident(X1_iProver_incident_1,q)
| ~ line_equal(q,sK1(X0_iProver_incident_1,h)) ),
inference(instantiation,[status(thm)],[c_36178]) ).
tcf(c_44808,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,i)
| line_equal(r,sK1(X0_iProver_incident_1,i))
| ~ incident(i,r)
| ~ incident(c,r)
| ~ incident(i,sK1(X0_iProver_incident_1,i))
| ~ incident(c,sK1(X0_iProver_incident_1,i)) ),
inference(instantiation,[status(thm)],[c_39301]) ).
tcf(c_44839,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,i)
| line_equal(r,sK1(i,X0_iProver_incident_1))
| ~ incident(i,r)
| ~ incident(c,r)
| ~ incident(i,sK1(i,X0_iProver_incident_1))
| ~ incident(c,sK1(i,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_39305]) ).
tcf(c_48623,plain,
( point_equal(c,b)
| line_equal(r,l)
| ~ incident(c,l)
| ~ line_equal(p,r) ),
inference(resolution,[status(thm)],[c_10313,c_757]) ).
tcf(c_49157,plain,
( incident(h,s)
| ~ point_equal(h,sK2(p,q))
| ~ incident(sK2(p,q),s) ),
inference(instantiation,[status(thm)],[c_36925]) ).
tcf(c_49259,plain,
( point_equal(e,c)
| line_equal(r,o)
| ~ incident(e,r)
| ~ incident(c,o) ),
inference(superposition,[status(thm)],[c_17669,c_18080]) ).
tcf(c_52201,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,sK1(X0_iProver_incident_1,h))
| ~ line_equal(sK1(X0_iProver_incident_1,h),q) ),
inference(instantiation,[status(thm)],[c_36125]) ).
tcf(c_55267,plain,
( point_equal(c,i)
| line_equal(r,sK1(c,i))
| ~ incident(i,r)
| ~ incident(c,r)
| ~ incident(i,sK1(c,i))
| ~ incident(c,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_44808]) ).
tcf(c_55279,plain,
( point_equal(c,i)
| line_equal(r,sK1(i,c))
| ~ incident(i,r)
| ~ incident(c,r)
| ~ incident(i,sK1(i,c))
| ~ incident(c,sK1(i,c)) ),
inference(instantiation,[status(thm)],[c_44839]) ).
tcf(c_55280,plain,
( incident(c,sK1(i,c))
| ~ point_equal(i,i)
| ~ point_equal(c,c) ),
inference(instantiation,[status(thm)],[c_39008]) ).
tcf(c_55840,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ line_equal(m,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p) ),
inference(global_subsumption_just,[status(thm)],[c_14935,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_487,c_498,c_519,c_530,c_648,c_649,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1119,c_1144,c_1167,c_1186,c_1196,c_1202,c_1292,c_1310,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1774,c_1788,c_1809,c_1837,c_1854,c_1861,c_1909,c_1972,c_1973,c_1992,c_2040,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2503,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2781,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4722,c_4749,c_4792,c_4958,c_4956,c_4955,c_4953,c_5000,c_5020,c_5097,c_5197,c_5236,c_5291,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5659,c_5661,c_5752,c_5909,c_5911,c_6058,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7184,c_7335,c_7479,c_7495,c_7671,c_7763,c_7928,c_8093,c_8135,c_8215,c_8216,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428]) ).
tcf(c_55841,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,d)
| ~ incident(X0_iProver_incident_1,p)
| ~ line_equal(m,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(renaming,[status(thm)],[c_55840]) ).
tcf(c_55927,plain,
( point_equal(d,e)
| line_equal(m,q)
| ~ incident(d,q)
| ~ line_equal(m,m) ),
inference(resolution,[status(thm)],[c_15225,c_752]) ).
tcf(c_56733,plain,
( point_equal(e,d)
| line_equal(m,q)
| ~ incident(e,m)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_17664,c_18238]) ).
tcf(c_56782,plain,
( ~ incident(d,q)
| line_equal(m,q) ),
inference(global_subsumption_just,[status(thm)],[c_56733,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_472,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5675,c_5752,c_6462,c_6463,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8339,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15195,c_15392,c_15479,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_30654,c_55927]) ).
tcf(c_56783,plain,
( line_equal(m,q)
| ~ incident(d,q) ),
inference(renaming,[status(thm)],[c_56782]) ).
tcf(c_58214,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(e,sK1(X0_iProver_incident_1,h))
| ~ incident(e,q)
| ~ line_equal(q,sK1(X0_iProver_incident_1,h)) ),
inference(instantiation,[status(thm)],[c_44763]) ).
tcf(c_58895,plain,
( point_equal(d,h)
| line_equal(p,r)
| ~ incident(h,r)
| ~ incident(d,p) ),
inference(superposition,[status(thm)],[c_16172,c_18300]) ).
tcf(c_59529,plain,
( incident(sK2(p,q),s)
| ~ incident(h,s)
| ~ point_equal(sK2(p,q),h) ),
inference(instantiation,[status(thm)],[c_40230]) ).
tcf(c_59534,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,h)
| ~ point_equal(sK2(p,q),h)
| ~ point_equal(X0_iProver_incident_1,sK2(p,q)) ),
inference(instantiation,[status(thm)],[c_36195]) ).
tcf(c_63133,plain,
( point_equal(a,f)
| line_equal(q,s)
| ~ incident(a,s)
| ~ line_equal(m,q) ),
inference(resolution,[status(thm)],[c_16671,c_756]) ).
tcf(c_63879,plain,
( incident(i,sK1(c,i))
| ~ point_equal(i,i)
| ~ point_equal(c,c) ),
inference(instantiation,[status(thm)],[c_36331]) ).
tcf(c_63952,plain,
( line_equal(sK1(i,c),r)
| ~ line_equal(r,sK1(i,c)) ),
inference(instantiation,[status(thm)],[c_36526]) ).
tcf(c_63964,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,sK1(i,c))
| ~ line_equal(X0_iProver_line_equal_1,r)
| ~ line_equal(r,sK1(i,c)) ),
inference(instantiation,[status(thm)],[c_38365]) ).
tcf(c_64058,plain,
( point_equal(a,h)
| line_equal(q,l)
| ~ incident(h,l)
| ~ incident(a,q) ),
inference(superposition,[status(thm)],[c_16173,c_18396]) ).
tcf(c_64148,plain,
( point_equal(a,h)
| ~ incident(h,l) ),
inference(global_subsumption_just,[status(thm)],[c_64058,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_998,c_1016,c_1186,c_1593,c_1598,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_2058,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4955,c_4953,c_5000,c_5020,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6542,c_6544,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_11631,c_11636,c_12577,c_12683,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_21962,c_22493,c_22512,c_24012,c_24209,c_24327,c_24428]) ).
tcf(c_68856,plain,
( incident(g,sK1(g,i))
| ~ point_equal(i,i)
| ~ point_equal(g,g) ),
inference(instantiation,[status(thm)],[c_40240]) ).
tcf(c_71030,plain,
( incident(e,sK1(c,h))
| ~ incident(e,q)
| ~ line_equal(q,sK1(c,h)) ),
inference(instantiation,[status(thm)],[c_58214]) ).
tcf(c_76255,plain,
( point_equal(a,e)
| line_equal(m,q)
| ~ incident(e,q)
| ~ incident(a,m) ),
inference(superposition,[status(thm)],[c_17626,c_18720]) ).
tcf(c_76330,plain,
( ~ incident(a,m)
| line_equal(m,q) ),
inference(global_subsumption_just,[status(thm)],[c_76255,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2002,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2318,c_2324,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2949,c_2948,c_2978,c_3057,c_3167,c_3168,c_3180,c_3319,c_3775,c_4397,c_4457,c_4529,c_4543,c_4567,c_4697,c_4749,c_4784,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8133,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10452,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_11609,c_12559,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_16312,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_28746]) ).
tcf(c_76331,plain,
( line_equal(m,q)
| ~ incident(a,m) ),
inference(renaming,[status(thm)],[c_76330]) ).
tcf(c_81635,plain,
( line_equal(sK1(c,i),r)
| ~ line_equal(r,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_36526]) ).
tcf(c_81637,plain,
( incident(d,sK1(c,i))
| ~ incident(d,r)
| ~ line_equal(r,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_36431]) ).
tcf(c_81660,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(X0_iProver_incident_1,i)
| line_equal(s,sK1(c,i))
| ~ incident(i,s)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(i,sK1(c,i))
| ~ incident(X0_iProver_incident_1,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_39551]) ).
tcf(c_81661,plain,
( point_equal(a,i)
| line_equal(s,sK1(c,i))
| ~ incident(i,s)
| ~ incident(a,s)
| ~ incident(i,sK1(c,i))
| ~ incident(a,sK1(c,i)) ),
inference(instantiation,[status(thm)],[c_81660]) ).
tcf(c_86343,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,b),sK1(X0_iProver_incident_1,b))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_19010,c_108]) ).
tcf(c_90346,plain,
( line_equal(q,sK1(c,h))
| ~ line_equal(sK1(c,h),q) ),
inference(instantiation,[status(thm)],[c_52201]) ).
tcf(c_98516,plain,
( line_equal(s,r)
| ~ line_equal(s,sK1(c,i))
| ~ line_equal(sK1(c,i),r) ),
inference(instantiation,[status(thm)],[c_36186]) ).
tcf(c_102689,plain,
( point_equal(b,h)
| ~ point_equal(b,sK2(p,q))
| ~ point_equal(sK2(p,q),h) ),
inference(instantiation,[status(thm)],[c_59534]) ).
tcf(c_107577,plain,
( point_equal(h,sK2(p,q))
| ~ line_equal(p,p)
| ~ incident(sK2(p,q),q) ),
inference(superposition,[status(thm)],[c_17363,c_26690]) ).
tcf(c_107604,plain,
point_equal(h,sK2(p,q)),
inference(global_subsumption_just,[status(thm)],[c_107577,c_78,c_58,c_54,c_53,c_134,c_135,c_486,c_492,c_13239,c_34842,c_42103]) ).
tcf(c_108088,plain,
point_equal(sK2(p,q),h),
inference(superposition,[status(thm)],[c_107604,c_110]) ).
tcf(c_108988,plain,
incident(sK2(p,q),q),
inference(superposition,[status(thm)],[c_108088,c_3196]) ).
tcf(c_108989,plain,
incident(sK2(p,q),p),
inference(superposition,[status(thm)],[c_108088,c_3111]) ).
tcf(c_109432,plain,
( line_equal(q,p)
| point_equal(d,sK2(p,q))
| ~ incident(d,q)
| ~ incident(sK2(p,q),p) ),
inference(superposition,[status(thm)],[c_108988,c_18137]) ).
tcf(c_109465,plain,
( ~ incident(d,q)
| point_equal(d,sK2(p,q)) ),
inference(global_subsumption_just,[status(thm)],[c_109432,c_78,c_58,c_54,c_53,c_134,c_135,c_486,c_492,c_649,c_13239,c_109432]) ).
tcf(c_109466,plain,
( point_equal(d,sK2(p,q))
| ~ incident(d,q) ),
inference(renaming,[status(thm)],[c_109465]) ).
tcf(c_110121,plain,
( line_equal(p,q)
| point_equal(a,sK2(p,q))
| ~ incident(a,p)
| ~ incident(sK2(p,q),q) ),
inference(superposition,[status(thm)],[c_108989,c_18720]) ).
tcf(c_110134,plain,
( line_equal(p,l)
| point_equal(b,sK2(p,q))
| ~ incident(b,p)
| ~ incident(sK2(p,q),l) ),
inference(superposition,[status(thm)],[c_108989,c_17722]) ).
tcf(c_110154,plain,
( line_equal(p,l)
| ~ incident(sK2(p,q),l) ),
inference(global_subsumption_just,[status(thm)],[c_110134,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_486,c_485,c_492,c_498,c_519,c_648,c_650,c_723,c_725,c_738,c_745,c_765,c_789,c_895,c_903,c_907,c_998,c_1015,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2002,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4061,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_5916,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_13239,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_34842,c_34843,c_102689,c_110134]) ).
tcf(c_110190,plain,
( ~ incident(a,p)
| point_equal(a,sK2(p,q)) ),
inference(global_subsumption_just,[status(thm)],[c_110121,c_78,c_58,c_54,c_53,c_134,c_135,c_486,c_492,c_34842,c_110121]) ).
tcf(c_110191,plain,
( point_equal(a,sK2(p,q))
| ~ incident(a,p) ),
inference(renaming,[status(thm)],[c_110190]) ).
tcf(c_114071,plain,
( point_equal(sK2(p,q),d)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_109466,c_110]) ).
tcf(c_114218,plain,
( point_equal(sK2(p,q),a)
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_110191,c_110]) ).
tcf(c_115700,plain,
( incident(i,sK1(c,i))
| ~ point_equal(i,i)
| ~ point_equal(c,c) ),
inference(superposition,[status(thm)],[c_39088,c_26911]) ).
tcf(c_115701,plain,
( incident(h,sK1(c,h))
| ~ point_equal(h,h)
| ~ point_equal(c,c) ),
inference(superposition,[status(thm)],[c_35838,c_26911]) ).
tcf(c_115706,plain,
( incident(b,sK1(c,b))
| ~ point_equal(c,c)
| ~ point_equal(b,b) ),
inference(superposition,[status(thm)],[c_86343,c_26911]) ).
tcf(c_115712,plain,
incident(b,sK1(c,b)),
inference(global_subsumption_just,[status(thm)],[c_115706,c_49,c_130,c_138,c_465,c_511,c_115706]) ).
tcf(c_115718,plain,
incident(h,sK1(c,h)),
inference(global_subsumption_just,[status(thm)],[c_115701,c_53,c_49,c_130,c_134,c_465,c_485,c_115701]) ).
tcf(c_115720,plain,
incident(i,sK1(c,i)),
inference(global_subsumption_just,[status(thm)],[c_115700,c_55,c_49,c_130,c_136,c_465,c_498,c_63879]) ).
tcf(c_116742,plain,
( incident(sK2(p,q),r)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_114071,c_4009]) ).
tcf(c_116803,plain,
( incident(sK2(p,q),l)
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_114218,c_4115]) ).
tcf(c_117932,plain,
( point_equal(c,b)
| line_equal(sK1(c,b),l)
| ~ incident(b,l)
| ~ incident(c,sK1(c,b)) ),
inference(superposition,[status(thm)],[c_115712,c_16183]) ).
tcf(c_117939,plain,
line_equal(sK1(c,b),l),
inference(global_subsumption_just,[status(thm)],[c_117932,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_511,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_903,c_907,c_1016,c_1196,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_1972,c_1992,c_2058,c_2103,c_2104,c_2178,c_2502,c_2506,c_2512,c_2511,c_2540,c_2563,c_2687,c_3057,c_3167,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5197,c_5303,c_5582,c_5581,c_5635,c_5661,c_5752,c_6462,c_6463,c_6541,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_9153,c_9600,c_9645,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11616,c_12577,c_12683,c_13186,c_14764,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31903,c_117932]) ).
tcf(c_118783,plain,
( point_equal(c,h)
| line_equal(sK1(c,h),r)
| ~ incident(h,r)
| ~ incident(c,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_115718,c_18770]) ).
tcf(c_118784,plain,
( point_equal(a,h)
| line_equal(sK1(c,h),q)
| ~ incident(h,q)
| ~ incident(a,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_115718,c_18720]) ).
tcf(c_118792,plain,
( point_equal(e,h)
| line_equal(sK1(c,h),q)
| ~ incident(h,q)
| ~ incident(e,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_115718,c_18238]) ).
tcf(c_118799,plain,
( point_equal(c,h)
| line_equal(sK1(c,h),l)
| ~ incident(h,l)
| ~ incident(c,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_115718,c_16183]) ).
tcf(c_118807,plain,
( ~ incident(h,l)
| line_equal(sK1(c,h),l) ),
inference(global_subsumption_just,[status(thm)],[c_118799,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_998,c_1016,c_1186,c_1593,c_1598,c_1709,c_1714,c_1770,c_1788,c_1809,c_1854,c_1861,c_1909,c_2058,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4955,c_4953,c_5000,c_5020,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6542,c_6544,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_11631,c_11636,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_21962,c_22493,c_22512,c_24012,c_24209,c_24327,c_24428,c_31897,c_118799]) ).
tcf(c_118808,plain,
( line_equal(sK1(c,h),l)
| ~ incident(h,l) ),
inference(renaming,[status(thm)],[c_118807]) ).
tcf(c_118858,plain,
( point_equal(a,h)
| line_equal(sK1(c,h),q)
| ~ incident(a,sK1(c,h)) ),
inference(global_subsumption_just,[status(thm)],[c_118784,c_54,c_135,c_118784]) ).
tcf(c_118863,plain,
( ~ incident(h,r)
| line_equal(sK1(c,h),r) ),
inference(global_subsumption_just,[status(thm)],[c_118783,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_998,c_1016,c_1186,c_1593,c_1598,c_1709,c_1714,c_1770,c_1788,c_1809,c_1854,c_1861,c_1909,c_2058,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4955,c_4953,c_5000,c_5020,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6542,c_6544,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_11631,c_11636,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_21962,c_22493,c_22512,c_24012,c_24209,c_24327,c_24428,c_31897,c_118783]) ).
tcf(c_118864,plain,
( line_equal(sK1(c,h),r)
| ~ incident(h,r) ),
inference(renaming,[status(thm)],[c_118863]) ).
tcf(c_118962,plain,
( line_equal(sK1(c,i),sK1(i,c))
| ~ line_equal(r,sK1(i,c))
| ~ line_equal(sK1(c,i),r) ),
inference(instantiation,[status(thm)],[c_63964]) ).
tcf(c_119164,plain,
( point_equal(a,i)
| line_equal(sK1(c,i),q)
| ~ incident(i,q)
| ~ incident(a,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_115720,c_18720]) ).
tcf(c_119229,plain,
( point_equal(a,i)
| ~ incident(a,sK1(c,i)) ),
inference(global_subsumption_just,[status(thm)],[c_119164,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1803,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31900,c_55267,c_63879,c_81635,c_81661,c_98516]) ).
tcf(c_120628,plain,
( line_equal(r,l)
| point_equal(c,sK2(p,q))
| ~ incident(d,q)
| ~ incident(c,r)
| ~ incident(sK2(p,q),l) ),
inference(superposition,[status(thm)],[c_116742,c_16183]) ).
tcf(c_120633,plain,
( point_equal(i,sK2(p,q))
| ~ incident(d,q)
| ~ incident(sK2(p,q),s) ),
inference(superposition,[status(thm)],[c_116742,c_26777]) ).
tcf(c_120648,plain,
( point_equal(i,sK2(p,q))
| ~ incident(d,q) ),
inference(global_subsumption_just,[status(thm)],[c_120633,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_486,c_485,c_492,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1611,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2002,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5291,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_13239,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_34842,c_34843,c_56783,c_59529,c_63133,c_120633]) ).
tcf(c_120652,plain,
( line_equal(r,l)
| ~ incident(sK2(p,q),l) ),
inference(global_subsumption_just,[status(thm)],[c_120628,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10458,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_11612,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_110154]) ).
tcf(c_125249,plain,
line_equal(l,sK1(c,b)),
inference(superposition,[status(thm)],[c_117939,c_107]) ).
tcf(c_129044,plain,
( line_equal(r,sK1(c,h))
| ~ incident(h,r) ),
inference(superposition,[status(thm)],[c_118864,c_107]) ).
tcf(c_131697,plain,
( line_equal(r,l)
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_116803,c_120652]) ).
tcf(c_140427,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_incident_1: iProver_incident_1,X4_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_incident_1: iProver_incident_1,X5_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_incident_1: iProver_incident_1,X6_iProver_line_equal_1: iProver_line_equal_1] :
( incident(c,X0_iProver_line_equal_1)
| incident(b,X0_iProver_line_equal_1)
| incident(a,X0_iProver_line_equal_1)
| incident(X2_iProver_incident_1,l)
| incident(X1_iProver_incident_1,l)
| incident(X0_iProver_incident_1,l)
| colinear(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1,sK0(X5_iProver_incident_1,X3_iProver_incident_1,X4_iProver_incident_1))
| ~ colinear(c,X1_iProver_incident_1,X5_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,X0_iProver_incident_1,X4_iProver_incident_1,X6_iProver_line_equal_1)
| ~ colinear(b,X2_iProver_incident_1,X5_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,X0_iProver_incident_1,X3_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(a,X2_iProver_incident_1,X4_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,X1_iProver_incident_1,X3_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(X0_iProver_incident_1,X1_iProver_incident_1,X2_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_122,c_103]) ).
tcf(c_142764,plain,
incident(c,l),
inference(superposition,[status(thm)],[c_122,c_112]) ).
tcf(c_142768,plain,
incident(h,p),
inference(superposition,[status(thm)],[c_118,c_112]) ).
tcf(c_142769,plain,
incident(h,q),
inference(superposition,[status(thm)],[c_117,c_112]) ).
tcf(c_142770,plain,
incident(i,r),
inference(superposition,[status(thm)],[c_116,c_112]) ).
tcf(c_142771,plain,
incident(i,s),
inference(superposition,[status(thm)],[c_115,c_112]) ).
tcf(c_142793,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(c,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(c,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_142764,c_102]) ).
tcf(c_142794,plain,
point_equal(c,c),
inference(superposition,[status(thm)],[c_142764,c_111]) ).
tcf(c_143240,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(h,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(h,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_142768,c_102]) ).
tcf(c_143241,plain,
point_equal(h,h),
inference(superposition,[status(thm)],[c_142768,c_111]) ).
tcf(c_143244,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ line_equal(p,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_142768,c_104]) ).
tcf(c_143261,plain,
line_equal(q,q),
inference(superposition,[status(thm)],[c_142769,c_108]) ).
tcf(c_143278,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_142770,c_102]) ).
tcf(c_143282,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_142770,c_104]) ).
tcf(c_143638,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(c,X0_iProver_incident_1))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_142794,c_100]) ).
tcf(c_143639,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,c))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_142794,c_101]) ).
tcf(c_143964,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,h))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_143241,c_101]) ).
tcf(c_144042,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(sK2(X0_iProver_line_equal_1,q),X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_143261,c_99]) ).
tcf(c_144232,plain,
incident(b,l),
inference(superposition,[status(thm)],[c_122,c_113]) ).
tcf(c_144233,plain,
incident(e,m),
inference(superposition,[status(thm)],[c_121,c_113]) ).
tcf(c_144236,plain,
incident(d,p),
inference(superposition,[status(thm)],[c_118,c_113]) ).
tcf(c_144238,plain,
incident(d,r),
inference(superposition,[status(thm)],[c_116,c_113]) ).
tcf(c_144254,plain,
incident(a,l),
inference(superposition,[status(thm)],[c_122,c_114]) ).
tcf(c_144259,plain,
incident(a,q),
inference(superposition,[status(thm)],[c_117,c_114]) ).
tcf(c_144591,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(b,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(b,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144232,c_102]) ).
tcf(c_144592,plain,
point_equal(b,b),
inference(superposition,[status(thm)],[c_144232,c_111]) ).
tcf(c_144595,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(b,X0_iProver_line_equal_1)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144232,c_104]) ).
tcf(c_144610,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(e,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,m)
| ~ incident(e,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,m)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144233,c_102]) ).
tcf(c_144923,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(d,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,p)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144236,c_102]) ).
tcf(c_145104,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(d,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,r)
| ~ incident(d,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144238,c_102]) ).
tcf(c_145108,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144238,c_104]) ).
tcf(c_145260,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(a,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,l)
| ~ incident(a,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,l)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144254,c_102]) ).
tcf(c_145264,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,X0_iProver_line_equal_1)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144254,c_104]) ).
tcf(c_145740,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( point_equal(a,X0_iProver_incident_1)
| line_equal(X0_iProver_line_equal_1,q)
| ~ incident(a,X0_iProver_line_equal_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_144259,c_102]) ).
tcf(c_145950,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(X0_iProver_incident_1,b))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_144592,c_101]) ).
tcf(c_146318,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(f,l)
| incident(e,l)
| incident(d,l)
| incident(c,m)
| incident(b,m)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_121,c_140427]) ).
tcf(c_146339,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_incident_1: iProver_incident_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1,X5_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,l)
| incident(a,m)
| colinear(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1,sK0(X2_iProver_incident_1,X0_iProver_incident_1,X1_iProver_incident_1))
| ~ colinear(c,e,X2_iProver_incident_1,X5_iProver_line_equal_1)
| ~ colinear(c,d,X1_iProver_incident_1,X4_iProver_line_equal_1)
| ~ colinear(b,f,X2_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(a,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,e,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(global_subsumption_just,[status(thm)],[c_146318,c_24752]) ).
tcf(c_150135,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(q,p)
| point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(superposition,[status(thm)],[c_142769,c_143240]) ).
tcf(c_150138,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( ~ incident(X0_iProver_incident_1,p)
| ~ incident(X0_iProver_incident_1,q)
| point_equal(h,X0_iProver_incident_1) ),
inference(global_subsumption_just,[status(thm)],[c_150135,c_78,c_58,c_649,c_9116,c_12883]) ).
tcf(c_150139,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(h,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,q)
| ~ incident(X0_iProver_incident_1,p) ),
inference(renaming,[status(thm)],[c_150138]) ).
tcf(c_150294,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(s,r)
| point_equal(i,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(superposition,[status(thm)],[c_142771,c_143278]) ).
tcf(c_150297,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,s)
| point_equal(i,X0_iProver_incident_1) ),
inference(global_subsumption_just,[status(thm)],[c_150294,c_78,c_59,c_650,c_8649,c_10078]) ).
tcf(c_150298,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,s)
| ~ incident(X0_iProver_incident_1,r) ),
inference(renaming,[status(thm)],[c_150297]) ).
tcf(c_150356,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| line_equal(sK1(c,i),r)
| ~ point_equal(i,i)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_143638,c_143278]) ).
tcf(c_150363,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1)
| ~ line_equal(sK1(c,X0_iProver_incident_1),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_143638,c_104]) ).
tcf(c_150384,plain,
line_equal(sK1(c,i),r),
inference(global_subsumption_just,[status(thm)],[c_150356,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1803,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31900,c_55267,c_63879,c_81635]) ).
tcf(c_150782,plain,
line_equal(r,sK1(c,i)),
inference(superposition,[status(thm)],[c_150384,c_107]) ).
tcf(c_150783,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(sK1(c,i),X0_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_150384,c_106]) ).
tcf(c_150844,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(r,X0_iProver_line_equal_1)
| ~ line_equal(sK1(c,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_150782,c_106]) ).
tcf(c_150845,plain,
incident(i,sK1(c,i)),
inference(superposition,[status(thm)],[c_150782,c_143282]) ).
tcf(c_150846,plain,
incident(c,sK1(c,i)),
inference(superposition,[status(thm)],[c_150782,c_4665]) ).
tcf(c_151030,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(X0_iProver_incident_1,sK1(c,i))
| ~ point_equal(X0_iProver_incident_1,i) ),
inference(superposition,[status(thm)],[c_150845,c_105]) ).
tcf(c_151031,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ line_equal(sK1(c,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_150845,c_104]) ).
tcf(c_152087,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,sK1(c,i))
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_150783,c_107]) ).
tcf(c_152088,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(sK1(c,i),X1_iProver_line_equal_1)
| ~ line_equal(r,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_150783,c_106]) ).
tcf(c_152327,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( point_equal(i,X0_iProver_incident_1)
| line_equal(sK1(i,c),r)
| ~ point_equal(i,i)
| ~ incident(X0_iProver_incident_1,r)
| ~ incident(X0_iProver_incident_1,sK1(i,c)) ),
inference(superposition,[status(thm)],[c_143639,c_143278]) ).
tcf(c_152355,plain,
line_equal(sK1(i,c),r),
inference(global_subsumption_just,[status(thm)],[c_152327,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1803,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_14883,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_55279,c_55280,c_63952]) ).
tcf(c_152901,plain,
line_equal(r,sK1(i,c)),
inference(superposition,[status(thm)],[c_152355,c_107]) ).
tcf(c_159106,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X1_iProver_line_equal_1,X0_iProver_line_equal_1)
| ~ line_equal(r,X1_iProver_line_equal_1)
| ~ line_equal(sK1(c,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_152087,c_106]) ).
tcf(c_159109,plain,
( incident(d,sK1(c,i))
| ~ line_equal(r,m) ),
inference(superposition,[status(thm)],[c_152087,c_4217]) ).
tcf(c_159114,plain,
( incident(h,sK1(c,i))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_152087,c_143244]) ).
tcf(c_159115,plain,
( incident(b,sK1(c,i))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_152087,c_4479]) ).
tcf(c_159148,plain,
incident(d,sK1(c,i)),
inference(global_subsumption_just,[status(thm)],[c_159109,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1803,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31900,c_55267,c_63879,c_81637]) ).
tcf(c_159702,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(i,h)
| line_equal(X0_iProver_line_equal_1,sK1(c,i))
| ~ line_equal(r,p)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_159114,c_26987]) ).
tcf(c_159715,plain,
( point_equal(i,h)
| ~ line_equal(r,p) ),
inference(global_subsumption_just,[status(thm)],[c_159702,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1595,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2121,c_2178,c_2308,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4437,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5711,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10476,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_35336,c_38599,c_48623,c_64148]) ).
tcf(c_160310,plain,
( point_equal(c,b)
| line_equal(sK1(c,i),l)
| ~ incident(b,l)
| ~ line_equal(r,p)
| ~ incident(c,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_159115,c_142793]) ).
tcf(c_160333,plain,
( ~ line_equal(r,p)
| line_equal(sK1(c,i),l) ),
inference(global_subsumption_just,[status(thm)],[c_160310,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_903,c_907,c_1016,c_1196,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_1972,c_1992,c_2058,c_2103,c_2104,c_2178,c_2502,c_2506,c_2512,c_2511,c_2540,c_2563,c_2687,c_3057,c_3167,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5197,c_5303,c_5582,c_5581,c_5635,c_5661,c_5752,c_6462,c_6463,c_6541,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_9153,c_9600,c_9645,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11616,c_12577,c_12683,c_13186,c_14764,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31900,c_160310]) ).
tcf(c_160334,plain,
( line_equal(sK1(c,i),l)
| ~ line_equal(r,p) ),
inference(renaming,[status(thm)],[c_160333]) ).
tcf(c_160755,plain,
( point_equal(c,d)
| line_equal(sK1(c,i),l)
| ~ incident(d,l)
| ~ incident(c,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_159148,c_142793]) ).
tcf(c_160771,plain,
( ~ incident(d,l)
| line_equal(sK1(c,i),l) ),
inference(global_subsumption_just,[status(thm)],[c_160755,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_907,c_998,c_1016,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_1972,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2312,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6541,c_6542,c_6544,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_31900,c_160755]) ).
tcf(c_160772,plain,
( line_equal(sK1(c,i),l)
| ~ incident(d,l) ),
inference(renaming,[status(thm)],[c_160771]) ).
tcf(c_161329,plain,
( line_equal(l,sK1(c,i))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_160334,c_107]) ).
tcf(c_161330,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(sK1(c,i),X0_iProver_line_equal_1)
| ~ line_equal(r,p)
| ~ line_equal(l,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_160334,c_106]) ).
tcf(c_161433,plain,
( line_equal(l,sK1(c,i))
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_160772,c_107]) ).
tcf(c_161547,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(r,p)
| ~ line_equal(sK1(c,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_161329,c_106]) ).
tcf(c_162981,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,h),sK1(X0_iProver_incident_1,h))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_143964,c_108]) ).
tcf(c_164498,plain,
( line_equal(sK1(c,i),sK1(i,c))
| ~ line_equal(r,r) ),
inference(superposition,[status(thm)],[c_152901,c_152088]) ).
tcf(c_164521,plain,
line_equal(sK1(c,i),sK1(i,c)),
inference(global_subsumption_just,[status(thm)],[c_164498,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1803,c_1809,c_1854,c_1909,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12577,c_12683,c_14883,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_31900,c_55267,c_55279,c_55280,c_63879,c_81635,c_118962]) ).
tcf(c_165738,plain,
line_equal(sK1(i,c),sK1(c,i)),
inference(superposition,[status(thm)],[c_164521,c_107]) ).
tcf(c_165878,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(sK1(i,c),X0_iProver_line_equal_1)
| ~ line_equal(sK1(c,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_165738,c_106]) ).
tcf(c_168836,plain,
( point_equal(b,c)
| line_equal(sK1(c,i),l)
| ~ incident(c,l)
| ~ incident(b,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_150846,c_144591]) ).
tcf(c_168906,plain,
( ~ incident(b,sK1(c,i))
| line_equal(sK1(c,i),l) ),
inference(global_subsumption_just,[status(thm)],[c_168836,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_903,c_907,c_1016,c_1196,c_1599,c_1598,c_1669,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_1972,c_1992,c_2058,c_2103,c_2104,c_2178,c_2502,c_2506,c_2512,c_2511,c_2540,c_2563,c_2687,c_3057,c_3167,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5197,c_5303,c_5582,c_5581,c_5635,c_5661,c_5711,c_5752,c_6462,c_6463,c_6541,c_6545,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_9153,c_9600,c_9645,c_10496,c_10797,c_11026,c_11114,c_11137,c_11510,c_11616,c_12577,c_12683,c_13186,c_14764,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428,c_168836]) ).
tcf(c_168907,plain,
( line_equal(sK1(c,i),l)
| ~ incident(b,sK1(c,i)) ),
inference(renaming,[status(thm)],[c_168906]) ).
tcf(c_171163,plain,
( incident(b,sK1(c,i))
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_161433,c_144595]) ).
tcf(c_171168,plain,
( incident(b,sK1(c,i))
| ~ line_equal(r,l) ),
inference(superposition,[status(thm)],[c_152087,c_144595]) ).
tcf(c_181727,plain,
( point_equal(d,b)
| line_equal(sK1(c,i),p)
| ~ incident(b,p)
| ~ line_equal(r,l)
| ~ incident(d,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_171168,c_144923]) ).
tcf(c_181730,plain,
( point_equal(d,b)
| line_equal(sK1(c,i),p)
| ~ incident(d,l)
| ~ incident(b,p)
| ~ incident(d,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_171163,c_144923]) ).
tcf(c_181839,plain,
( ~ incident(d,l)
| line_equal(sK1(c,i),p) ),
inference(global_subsumption_just,[status(thm)],[c_181730,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_905,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1723,c_1788,c_1803,c_1809,c_1854,c_1861,c_1909,c_1972,c_1973,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2318,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5205,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_6844,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12567,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_31900,c_55267,c_63879,c_81637,c_181730]) ).
tcf(c_181840,plain,
( line_equal(sK1(c,i),p)
| ~ incident(d,l) ),
inference(renaming,[status(thm)],[c_181839]) ).
tcf(c_181851,plain,
( ~ line_equal(r,l)
| line_equal(sK1(c,i),p) ),
inference(global_subsumption_just,[status(thm)],[c_181727,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_467,c_485,c_498,c_519,c_648,c_650,c_723,c_725,c_745,c_765,c_895,c_903,c_905,c_907,c_998,c_1016,c_1167,c_1186,c_1196,c_1593,c_1599,c_1598,c_1669,c_1709,c_1714,c_1723,c_1788,c_1803,c_1809,c_1854,c_1861,c_1909,c_1972,c_1973,c_1992,c_2056,c_2058,c_2103,c_2104,c_2178,c_2308,c_2312,c_2318,c_2502,c_2506,c_2512,c_2511,c_2516,c_2540,c_2563,c_2670,c_2687,c_2944,c_2948,c_3057,c_3167,c_3168,c_3180,c_3319,c_4397,c_4457,c_4543,c_4567,c_4697,c_4749,c_4958,c_4955,c_4953,c_5000,c_5020,c_5197,c_5205,c_5303,c_5365,c_5582,c_5581,c_5617,c_5635,c_5661,c_5752,c_6462,c_6463,c_6479,c_6541,c_6542,c_6544,c_6545,c_6844,c_7335,c_7479,c_7495,c_7763,c_7928,c_8093,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10459,c_10496,c_10797,c_11026,c_11114,c_11115,c_11137,c_11510,c_11631,c_11618,c_11636,c_11616,c_12567,c_12577,c_12683,c_13186,c_14764,c_14892,c_15123,c_15181,c_15392,c_15479,c_15556,c_15714,c_17485,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_20058,c_21962,c_22493,c_22512,c_24012,c_24182,c_24209,c_24327,c_24428,c_31900,c_55267,c_63879,c_81637,c_181727]) ).
tcf(c_181852,plain,
( line_equal(sK1(c,i),p)
| ~ line_equal(r,l) ),
inference(renaming,[status(thm)],[c_181851]) ).
tcf(c_186010,plain,
( line_equal(p,sK1(c,i))
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_181840,c_107]) ).
tcf(c_186012,plain,
( line_equal(r,p)
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_181840,c_150844]) ).
tcf(c_186800,plain,
( line_equal(r,p)
| ~ line_equal(r,l) ),
inference(superposition,[status(thm)],[c_181852,c_150844]) ).
tcf(c_188073,plain,
( incident(h,sK1(c,i))
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_186010,c_143244]) ).
tcf(c_193100,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(i,h)
| line_equal(X0_iProver_line_equal_1,sK1(c,i))
| ~ incident(d,l)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_188073,c_26987]) ).
tcf(c_193113,plain,
( point_equal(i,h)
| ~ incident(d,l) ),
inference(global_subsumption_just,[status(thm)],[c_193100,c_159715,c_186012]) ).
tcf(c_197701,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(X0_iProver_line_equal_1,l)
| ~ line_equal(r,p)
| ~ line_equal(r,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_160334,c_159106]) ).
tcf(c_198240,plain,
! [X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_incident_1: iProver_incident_1] :
( incident(X2_iProver_incident_1,sK1(X1_iProver_incident_1,X0_iProver_incident_1))
| ~ point_equal(X2_iProver_incident_1,X0_iProver_incident_1)
| ~ incident(X0_iProver_incident_1,sK1(X1_iProver_incident_1,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_198257,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(a,sK1(c,X0_iProver_incident_1))
| ~ line_equal(q,sK1(c,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_4504]) ).
tcf(c_198870,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(l,X1_iProver_line_equal_1)
| ~ line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_198871,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,l) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_199251,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( incident(h,sK1(X0_iProver_incident_1,i))
| ~ point_equal(h,i)
| ~ incident(i,sK1(X0_iProver_incident_1,i)) ),
inference(instantiation,[status(thm)],[c_198240]) ).
tcf(c_199265,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,X1_iProver_incident_1),X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,sK1(X0_iProver_incident_1,X1_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_200469,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(c,X0_iProver_incident_1),X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,sK1(c,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_199265]) ).
tcf(c_200808,plain,
( incident(a,sK1(c,h))
| ~ line_equal(q,sK1(c,h)) ),
inference(instantiation,[status(thm)],[c_198257]) ).
tcf(c_202734,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(l,sK1(c,X0_iProver_incident_1))
| ~ line_equal(sK1(c,X0_iProver_incident_1),X0_iProver_line_equal_1) ),
inference(instantiation,[status(thm)],[c_198870]) ).
tcf(c_204882,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(c,X0_iProver_incident_1),l)
| ~ line_equal(l,sK1(c,X0_iProver_incident_1)) ),
inference(instantiation,[status(thm)],[c_200469]) ).
tcf(c_206118,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( line_equal(sK1(c,i),X1_iProver_line_equal_1)
| ~ line_equal(r,p)
| ~ line_equal(l,X0_iProver_line_equal_1)
| ~ line_equal(X0_iProver_line_equal_1,X1_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_161330,c_106]) ).
tcf(c_214086,plain,
( incident(a,sK1(c,i))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_161329,c_145264]) ).
tcf(c_215370,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(l,sK1(c,X0_iProver_incident_1))
| ~ line_equal(sK1(c,X0_iProver_incident_1),l) ),
inference(instantiation,[status(thm)],[c_198871]) ).
tcf(c_216651,plain,
( point_equal(d,a)
| line_equal(sK1(c,i),p)
| ~ incident(a,p)
| ~ line_equal(r,p)
| ~ incident(d,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_214086,c_144923]) ).
tcf(c_216690,plain,
( ~ incident(a,p)
| line_equal(sK1(c,i),p) ),
inference(global_subsumption_just,[status(thm)],[c_216651,c_131697,c_181852]) ).
tcf(c_216691,plain,
( line_equal(sK1(c,i),p)
| ~ incident(a,p) ),
inference(renaming,[status(thm)],[c_216690]) ).
tcf(c_223160,plain,
( line_equal(p,sK1(c,i))
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_216691,c_107]) ).
tcf(c_225288,plain,
( incident(b,sK1(c,i))
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_223160,c_4479]) ).
tcf(c_226737,plain,
( line_equal(sK1(c,i),l)
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_225288,c_168907]) ).
tcf(c_228474,plain,
( line_equal(l,sK1(c,i))
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_226737,c_107]) ).
tcf(c_229046,plain,
( incident(a,sK1(c,i))
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_228474,c_145264]) ).
tcf(c_230246,plain,
( point_equal(a,c)
| line_equal(sK1(c,i),l)
| ~ incident(c,l)
| ~ incident(a,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_150846,c_145260]) ).
tcf(c_230372,plain,
( ~ incident(a,sK1(c,i))
| line_equal(sK1(c,i),l) ),
inference(global_subsumption_just,[status(thm)],[c_230246,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_1016,c_1598,c_1709,c_1714,c_1788,c_1809,c_1854,c_1909,c_2058,c_2104,c_2178,c_2506,c_2512,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4953,c_5000,c_5303,c_5581,c_5635,c_5661,c_5752,c_6462,c_6463,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_12028,c_12577,c_12683,c_15123,c_15181,c_15392,c_15556,c_15714,c_18117,c_18162,c_18767,c_19828,c_20057,c_21962,c_22512,c_24012,c_24209,c_24327,c_24428]) ).
tcf(c_230373,plain,
( line_equal(sK1(c,i),l)
| ~ incident(a,sK1(c,i)) ),
inference(renaming,[status(thm)],[c_230372]) ).
tcf(c_233915,plain,
! [X0_iProver_incident_1: iProver_incident_1] :
( line_equal(sK1(X0_iProver_incident_1,b),sK1(X0_iProver_incident_1,b))
| ~ point_equal(X0_iProver_incident_1,X0_iProver_incident_1) ),
inference(superposition,[status(thm)],[c_145950,c_108]) ).
tcf(c_241911,plain,
( line_equal(l,q)
| ~ line_equal(l,sK1(c,h))
| ~ line_equal(sK1(c,h),q) ),
inference(instantiation,[status(thm)],[c_202734]) ).
tcf(c_253546,plain,
( point_equal(a,i)
| line_equal(sK1(c,i),q)
| ~ incident(i,q)
| ~ incident(a,sK1(c,i)) ),
inference(superposition,[status(thm)],[c_150845,c_145740]) ).
tcf(c_253636,plain,
( point_equal(a,i)
| ~ incident(a,sK1(c,i)) ),
inference(global_subsumption_just,[status(thm)],[c_253546,c_119229]) ).
tcf(c_261560,plain,
( line_equal(sK1(c,h),l)
| ~ line_equal(l,sK1(c,h)) ),
inference(instantiation,[status(thm)],[c_204882]) ).
tcf(c_261611,plain,
( point_equal(a,i)
| ~ incident(a,p) ),
inference(superposition,[status(thm)],[c_229046,c_253636]) ).
tcf(c_283012,plain,
( line_equal(l,sK1(c,h))
| ~ line_equal(sK1(c,h),l) ),
inference(instantiation,[status(thm)],[c_215370]) ).
tcf(c_287879,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1] :
( incident(d,l)
| incident(a,m)
| colinear(X1_iProver_incident_1,h,X0_iProver_incident_1,sK0(X1_iProver_incident_1,h,X0_iProver_incident_1))
| ~ colinear(b,d,h,X4_iProver_line_equal_1)
| ~ colinear(c,e,X1_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(c,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(b,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,f,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_117,c_146339]) ).
tcf(c_294026,plain,
( point_equal(h,sK2(p,q))
| ~ line_equal(p,p)
| ~ incident(sK2(p,q),q) ),
inference(superposition,[status(thm)],[c_144042,c_150139]) ).
tcf(c_294053,plain,
point_equal(h,sK2(p,q)),
inference(global_subsumption_just,[status(thm)],[c_294026,c_78,c_58,c_54,c_53,c_134,c_135,c_486,c_492,c_13239,c_34842,c_42103]) ).
tcf(c_294582,plain,
point_equal(sK2(p,q),h),
inference(superposition,[status(thm)],[c_294053,c_110]) ).
tcf(c_295471,plain,
incident(sK2(p,q),q),
inference(superposition,[status(thm)],[c_294582,c_3196]) ).
tcf(c_300239,plain,
( line_equal(q,p)
| point_equal(d,sK2(p,q))
| ~ incident(d,q)
| ~ incident(sK2(p,q),p) ),
inference(superposition,[status(thm)],[c_295471,c_144923]) ).
tcf(c_300271,plain,
( ~ incident(d,q)
| point_equal(d,sK2(p,q)) ),
inference(global_subsumption_just,[status(thm)],[c_300239,c_78,c_58,c_54,c_53,c_134,c_135,c_486,c_492,c_649,c_13239,c_109432]) ).
tcf(c_300272,plain,
( point_equal(d,sK2(p,q))
| ~ incident(d,q) ),
inference(renaming,[status(thm)],[c_300271]) ).
tcf(c_302944,plain,
( point_equal(sK2(p,q),d)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_300272,c_110]) ).
tcf(c_304274,plain,
( incident(h,sK1(c,h))
| ~ point_equal(h,h)
| ~ point_equal(c,c) ),
inference(superposition,[status(thm)],[c_162981,c_150363]) ).
tcf(c_304371,plain,
incident(h,sK1(c,h)),
inference(global_subsumption_just,[status(thm)],[c_304274,c_53,c_49,c_130,c_134,c_465,c_485,c_115701]) ).
tcf(c_309104,plain,
( incident(sK2(p,q),r)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_302944,c_4009]) ).
tcf(c_310098,plain,
( incident(b,sK1(c,b))
| ~ point_equal(c,c)
| ~ point_equal(b,b) ),
inference(superposition,[status(thm)],[c_233915,c_150363]) ).
tcf(c_310099,plain,
incident(b,sK1(c,b)),
inference(global_subsumption_just,[status(thm)],[c_310098,c_49,c_130,c_138,c_465,c_511,c_115706]) ).
tcf(c_311946,plain,
( point_equal(d,h)
| line_equal(sK1(c,h),r)
| ~ incident(h,r)
| ~ incident(d,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_304371,c_145104]) ).
tcf(c_311951,plain,
( point_equal(e,h)
| line_equal(sK1(c,h),m)
| ~ incident(h,m)
| ~ incident(e,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_304371,c_144610]) ).
tcf(c_311954,plain,
( point_equal(c,h)
| line_equal(sK1(c,h),l)
| ~ incident(h,l)
| ~ incident(c,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_304371,c_142793]) ).
tcf(c_311956,plain,
line_equal(sK1(c,h),sK1(c,h)),
inference(superposition,[status(thm)],[c_304371,c_108]) ).
tcf(c_311964,plain,
( ~ incident(h,l)
| line_equal(sK1(c,h),l) ),
inference(global_subsumption_just,[status(thm)],[c_311954,c_118808]) ).
tcf(c_311965,plain,
( line_equal(sK1(c,h),l)
| ~ incident(h,l) ),
inference(renaming,[status(thm)],[c_311964]) ).
tcf(c_311974,plain,
~ incident(e,sK1(c,h)),
inference(global_subsumption_just,[status(thm)],[c_311951,c_78,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_130,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_195,c_465,c_485,c_498,c_648,c_650,c_723,c_725,c_745,c_903,c_907,c_998,c_1016,c_1186,c_1593,c_1598,c_1709,c_1714,c_1788,c_1809,c_1854,c_1861,c_1909,c_2058,c_2104,c_2178,c_2506,c_2512,c_2516,c_2563,c_2687,c_3057,c_3180,c_3319,c_4457,c_4543,c_4567,c_4697,c_4749,c_4942,c_4955,c_4953,c_5000,c_5020,c_5303,c_5581,c_5635,c_5661,c_5752,c_6462,c_6463,c_6542,c_6544,c_6545,c_7335,c_7495,c_7763,c_7928,c_8135,c_8650,c_8990,c_9153,c_9600,c_9645,c_10797,c_11114,c_11137,c_11510,c_11524,c_11631,c_11636,c_12577,c_12683,c_15123,c_15174,c_15181,c_15392,c_15394,c_15556,c_15714,c_18117,c_18157,c_18162,c_18767,c_19828,c_20057,c_21962,c_22493,c_22512,c_24012,c_24209,c_24327,c_24428,c_30654,c_43635,c_49259,c_90346,c_118792,c_200808,c_241911,c_283012]) ).
tcf(c_311987,plain,
( ~ incident(h,r)
| line_equal(sK1(c,h),r) ),
inference(global_subsumption_just,[status(thm)],[c_311946,c_118864]) ).
tcf(c_311988,plain,
( line_equal(sK1(c,h),r)
| ~ incident(h,r) ),
inference(renaming,[status(thm)],[c_311987]) ).
tcf(c_315046,plain,
( point_equal(i,sK2(p,q))
| ~ incident(d,q)
| ~ incident(sK2(p,q),s) ),
inference(superposition,[status(thm)],[c_309104,c_150298]) ).
tcf(c_315060,plain,
( point_equal(i,sK2(p,q))
| ~ incident(d,q) ),
inference(global_subsumption_just,[status(thm)],[c_315046,c_120648]) ).
tcf(c_315861,plain,
line_equal(sK1(c,b),sK1(c,b)),
inference(superposition,[status(thm)],[c_310099,c_108]) ).
tcf(c_316967,plain,
( line_equal(sK1(c,i),l)
| ~ point_equal(a,i) ),
inference(superposition,[status(thm)],[c_151030,c_230373]) ).
tcf(c_319179,plain,
( line_equal(sK1(c,i),sK1(c,h))
| ~ line_equal(r,p)
| ~ line_equal(l,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_311956,c_206118]) ).
tcf(c_319183,plain,
( line_equal(sK1(c,i),sK1(c,h))
| ~ line_equal(r,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_311956,c_152088]) ).
tcf(c_319197,plain,
( line_equal(sK1(c,i),sK1(c,h))
| ~ line_equal(r,p) ),
inference(global_subsumption_just,[status(thm)],[c_319179,c_53,c_134,c_1910,c_2121,c_129044,c_319183]) ).
tcf(c_319691,plain,
( line_equal(l,sK1(c,h))
| ~ incident(h,l) ),
inference(superposition,[status(thm)],[c_311965,c_107]) ).
tcf(c_320497,plain,
( line_equal(r,sK1(c,h))
| ~ incident(h,r) ),
inference(superposition,[status(thm)],[c_311988,c_107]) ).
tcf(c_329244,plain,
( point_equal(sK2(p,q),i)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_315060,c_110]) ).
tcf(c_329650,plain,
( line_equal(sK1(c,i),sK1(c,b))
| ~ line_equal(r,p)
| ~ line_equal(l,sK1(c,b)) ),
inference(superposition,[status(thm)],[c_315861,c_206118]) ).
tcf(c_329668,plain,
( line_equal(sK1(c,i),sK1(c,b))
| ~ line_equal(r,p) ),
inference(global_subsumption_just,[status(thm)],[c_329650,c_125249,c_329650]) ).
tcf(c_330417,plain,
( line_equal(r,l)
| ~ point_equal(a,i) ),
inference(superposition,[status(thm)],[c_316967,c_150844]) ).
tcf(c_331953,plain,
( incident(i,sK1(c,h))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_319197,c_151031]) ).
tcf(c_331956,plain,
( line_equal(l,sK1(c,h))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_319197,c_161547]) ).
tcf(c_332510,plain,
( incident(a,sK1(c,h))
| ~ incident(h,l) ),
inference(superposition,[status(thm)],[c_319691,c_145264]) ).
tcf(c_333376,plain,
( line_equal(sK1(c,h),l)
| ~ incident(h,r)
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_320497,c_197701]) ).
tcf(c_333377,plain,
( incident(d,sK1(c,h))
| ~ incident(h,r) ),
inference(superposition,[status(thm)],[c_320497,c_145108]) ).
tcf(c_333378,plain,
( incident(i,sK1(c,h))
| ~ incident(h,r) ),
inference(superposition,[status(thm)],[c_320497,c_143282]) ).
tcf(c_333386,plain,
( line_equal(sK1(c,h),l)
| ~ line_equal(r,p) ),
inference(global_subsumption_just,[status(thm)],[c_333376,c_261560,c_331956]) ).
tcf(c_341332,plain,
( incident(sK2(p,q),s)
| ~ incident(d,q) ),
inference(superposition,[status(thm)],[c_329244,c_3417]) ).
tcf(c_341558,plain,
( line_equal(sK1(i,c),sK1(c,b))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_329668,c_165878]) ).
tcf(c_348534,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(h,i)
| line_equal(X0_iProver_line_equal_1,sK1(c,h))
| ~ line_equal(r,p)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_331953,c_26987]) ).
tcf(c_348547,plain,
( point_equal(h,i)
| ~ line_equal(r,p) ),
inference(global_subsumption_just,[status(thm)],[c_348534,c_4632,c_159715]) ).
tcf(c_355754,plain,
( point_equal(c,d)
| line_equal(sK1(c,h),l)
| ~ incident(h,r)
| ~ incident(d,l)
| ~ incident(c,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_333377,c_142793]) ).
tcf(c_355781,plain,
( ~ incident(d,l)
| line_equal(sK1(c,h),l) ),
inference(global_subsumption_just,[status(thm)],[c_355754,c_186012,c_333386]) ).
tcf(c_355782,plain,
( line_equal(sK1(c,h),l)
| ~ incident(d,l) ),
inference(renaming,[status(thm)],[c_355781]) ).
tcf(c_356863,plain,
( point_equal(a,i)
| line_equal(sK1(c,h),q)
| ~ incident(i,q)
| ~ incident(h,r)
| ~ incident(a,sK1(c,h)) ),
inference(superposition,[status(thm)],[c_333378,c_145740]) ).
tcf(c_356883,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( point_equal(h,i)
| line_equal(X0_iProver_line_equal_1,sK1(c,h))
| ~ incident(h,r)
| ~ incident(i,X0_iProver_line_equal_1)
| ~ incident(h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_333378,c_26987]) ).
tcf(c_356896,plain,
( point_equal(h,i)
| ~ incident(h,r) ),
inference(global_subsumption_just,[status(thm)],[c_356883,c_78,c_59,c_58,c_56,c_55,c_54,c_53,c_134,c_135,c_136,c_137,c_142,c_486,c_492,c_3080,c_4640,c_5935,c_13239,c_34842,c_42103,c_49157,c_58895,c_341332,c_348547]) ).
tcf(c_356930,plain,
( point_equal(a,i)
| ~ incident(a,sK1(c,h)) ),
inference(global_subsumption_just,[status(thm)],[c_356863,c_54,c_143,c_3115,c_71030,c_90346,c_118858,c_261611,c_311974]) ).
tcf(c_371486,plain,
( line_equal(sK1(c,b),sK1(i,c))
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_341558,c_107]) ).
tcf(c_418578,plain,
( incident(h,l)
| ~ point_equal(h,h)
| ~ incident(d,l) ),
inference(superposition,[status(thm)],[c_355782,c_150363]) ).
tcf(c_418581,plain,
( incident(h,l)
| ~ incident(d,l) ),
inference(global_subsumption_just,[status(thm)],[c_418578,c_53,c_134,c_485,c_418578]) ).
tcf(c_434263,plain,
( point_equal(h,d)
| ~ incident(h,p)
| ~ line_equal(m,q) ),
inference(resolution,[status(thm)],[c_55841,c_213]) ).
tcf(c_443291,plain,
( incident(h,sK1(g,i))
| ~ point_equal(h,i)
| ~ incident(i,sK1(g,i)) ),
inference(instantiation,[status(thm)],[c_199251]) ).
tcf(c_443375,plain,
( incident(b,sK1(i,c))
| ~ point_equal(b,b)
| ~ line_equal(r,p) ),
inference(superposition,[status(thm)],[c_371486,c_150363]) ).
tcf(c_443376,plain,
~ line_equal(r,p),
inference(global_subsumption_just,[status(thm)],[c_443375,c_55,c_51,c_132,c_136,c_475,c_498,c_7740,c_44297,c_68856,c_348547,c_443291]) ).
tcf(c_443381,plain,
~ line_equal(r,l),
inference(backward_subsumption_resolution,[status(thm)],[c_186800,c_443376]) ).
tcf(c_443396,plain,
~ point_equal(a,i),
inference(backward_subsumption_resolution,[status(thm)],[c_330417,c_443381]) ).
tcf(c_443409,plain,
~ incident(a,sK1(c,h)),
inference(backward_subsumption_resolution,[status(thm)],[c_356930,c_443396]) ).
tcf(c_443451,plain,
~ incident(h,l),
inference(backward_subsumption_resolution,[status(thm)],[c_332510,c_443409]) ).
tcf(c_443452,plain,
~ incident(d,l),
inference(backward_subsumption_resolution,[status(thm)],[c_418581,c_443451]) ).
tcf(c_443454,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1] :
( incident(a,m)
| colinear(X1_iProver_incident_1,h,X0_iProver_incident_1,sK0(X1_iProver_incident_1,h,X0_iProver_incident_1))
| ~ colinear(b,d,h,X4_iProver_line_equal_1)
| ~ colinear(c,e,X1_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(c,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(b,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,f,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_287879,c_443452]) ).
tcf(c_443458,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1] :
( ~ colinear(a,f,X0_iProver_incident_1,X0_iProver_line_equal_1)
| ~ colinear(b,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(c,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(c,e,X1_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(b,d,h,X4_iProver_line_equal_1)
| colinear(X1_iProver_incident_1,h,X0_iProver_incident_1,sK0(X1_iProver_incident_1,h,X0_iProver_incident_1)) ),
inference(global_subsumption_just,[status(thm)],[c_443454,c_55,c_53,c_51,c_132,c_134,c_136,c_144,c_475,c_498,c_1972,c_4632,c_7740,c_44297,c_68856,c_76331,c_193113,c_287879,c_356896,c_434263,c_443291]) ).
tcf(c_443459,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_incident_1: iProver_incident_1,X2_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_line_equal_1: iProver_line_equal_1,X4_iProver_line_equal_1: iProver_line_equal_1] :
( colinear(X1_iProver_incident_1,h,X0_iProver_incident_1,sK0(X1_iProver_incident_1,h,X0_iProver_incident_1))
| ~ colinear(b,d,h,X4_iProver_line_equal_1)
| ~ colinear(c,e,X1_iProver_incident_1,X3_iProver_line_equal_1)
| ~ colinear(c,d,X0_iProver_incident_1,X2_iProver_line_equal_1)
| ~ colinear(b,f,X1_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(a,f,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(renaming,[status(thm)],[c_443458]) ).
tcf(c_447347,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X0_iProver_incident_1: iProver_incident_1,X1_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_line_equal_1: iProver_line_equal_1,X3_iProver_line_equal_1: iProver_line_equal_1] :
( colinear(X0_iProver_incident_1,h,i,sK0(X0_iProver_incident_1,h,i))
| ~ colinear(c,d,i,X3_iProver_line_equal_1)
| ~ colinear(b,d,h,X2_iProver_line_equal_1)
| ~ colinear(c,e,X0_iProver_incident_1,X1_iProver_line_equal_1)
| ~ colinear(b,f,X0_iProver_incident_1,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_115,c_443459]) ).
tcf(c_456143,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1,X2_iProver_line_equal_1: iProver_line_equal_1] :
( colinear(g,h,i,sK0(g,h,i))
| ~ colinear(c,e,g,X2_iProver_line_equal_1)
| ~ colinear(c,d,i,X1_iProver_line_equal_1)
| ~ colinear(b,d,h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_120,c_447347]) ).
tcf(c_456266,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1,X1_iProver_line_equal_1: iProver_line_equal_1] :
( colinear(g,h,i,sK0(g,h,i))
| ~ colinear(c,e,g,X1_iProver_line_equal_1)
| ~ colinear(b,d,h,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_116,c_456143]) ).
tcf(c_458149,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( colinear(g,h,i,sK0(g,h,i))
| ~ colinear(c,e,g,X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_118,c_456266]) ).
tcf(c_458174,plain,
colinear(g,h,i,sK0(g,h,i)),
inference(superposition,[status(thm)],[c_119,c_458149]) ).
tcf(c_458183,plain,
incident(g,sK0(g,h,i)),
inference(superposition,[status(thm)],[c_458174,c_114]) ).
tcf(c_458184,plain,
incident(h,sK0(g,h,i)),
inference(superposition,[status(thm)],[c_458174,c_113]) ).
tcf(c_458185,plain,
incident(i,sK0(g,h,i)),
inference(superposition,[status(thm)],[c_458174,c_112]) ).
tcf(c_461437,plain,
line_equal(sK0(g,h,i),sK0(g,h,i)),
inference(superposition,[status(thm)],[c_458183,c_108]) ).
tcf(c_461439,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(g,X0_iProver_line_equal_1)
| ~ line_equal(sK0(g,h,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_458183,c_104]) ).
tcf(c_462452,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(h,X0_iProver_line_equal_1)
| ~ line_equal(sK0(g,h,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_458184,c_104]) ).
tcf(c_463611,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] :
( incident(i,X0_iProver_line_equal_1)
| ~ line_equal(sK0(g,h,i),X0_iProver_line_equal_1) ),
inference(superposition,[status(thm)],[c_458185,c_104]) ).
tcf(c_463613,plain,
! [X0_iProver_line_equal_1: iProver_line_equal_1] : ~ line_equal(sK0(g,h,i),X0_iProver_line_equal_1),
inference(global_subsumption_just,[status(thm)],[c_463611,c_194,c_461439,c_462452,c_463611]) ).
tcf(c_463677,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_461437,c_463613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO167+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 11:16:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 200.89/39.23 % SZS status Started for theBenchmark.p
% 200.89/39.23 % SZS status Theorem for theBenchmark.p
% 200.89/39.23
% 200.89/39.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 200.89/39.23
% 200.89/39.23 % ------ iProver source info
% 200.89/39.23
% 200.89/39.23 % git: date: 2026-07-19 20:42:38 +0200
% 200.89/39.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 200.89/39.23 % git: non_committed_changes: false
% 200.89/39.23
% 200.89/39.23 % ------ Parsing...
% 200.89/39.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 200.89/39.23
% 200.89/39.23 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e %
% 200.89/39.23
% 200.89/39.23 % ------ Preprocessing...
% 200.89/39.23 % ------ Proving...
% 200.89/39.23 % ------ Problem Properties
% 200.89/39.23
% 200.89/39.23 %
% 200.89/39.23 % clauses 29
% 200.89/39.23 % conjectures 0
% 200.89/39.23 % EPR 24
% 200.89/39.23 % Horn 27
% 200.89/39.23 % unary 11
% 200.89/39.23 % binary 7
% 200.89/39.23 % lits 74
% 200.89/39.23 % lits eq 0
% 200.89/39.23 % fd_pure 0
% 200.89/39.23 % fd_pseudo 0
% 200.89/39.23 % fd_cond 0
% 200.89/39.23 % fd_pseudo_cond 0
% 200.89/39.23 % AC symbols 0
% 200.89/39.23
% 200.89/39.23 % ------ Input Options Time Limit: Unbounded
% 200.89/39.23
% 200.89/39.23
% 200.89/39.23 % ------
% 200.89/39.23 % Current options:
% 200.89/39.23 % ------
% 200.89/39.23
% 200.89/39.23
% 200.89/39.23 %
% 200.89/39.23
% 200.89/39.23 % ------ Proving...
% 200.89/39.23 %
% 200.89/39.23
% 200.89/39.23 % SZS status Theorem for theBenchmark.p
% 200.89/39.23
% 200.89/39.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 200.89/39.26
% 200.89/39.26
%------------------------------------------------------------------------------