TSTP Solution File: GEO168+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:09:46 EDT 2023
% Result : Theorem 55.30s 8.27s
% Output : CNFRefutation 56.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 636 ( 108 unt; 0 def)
% Number of atoms : 1833 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 2191 ( 994 ~;1150 |; 26 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 592 ( 23 sgn; 212 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( colinear(d,e,f,m)
& colinear(a,b,c,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption1) ).
fof(f2,axiom,
( colinear(c,e,g,o)
& colinear(b,f,g,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption2) ).
fof(f3,axiom,
( colinear(a,e,h,q)
& colinear(b,d,h,p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption3) ).
fof(f4,axiom,
( colinear(a,f,i,s)
& colinear(c,d,i,r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption4) ).
fof(f5,axiom,
( incident(a,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalam) ).
fof(f6,axiom,
( incident(b,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalbm) ).
fof(f7,axiom,
( incident(c,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalcm) ).
fof(f8,axiom,
( incident(d,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goaldl) ).
fof(f9,axiom,
( incident(e,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalel) ).
fof(f10,axiom,
( incident(f,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalfl) ).
fof(f11,axiom,
! [X0] :
( ( incident(i,X0)
& incident(h,X0)
& incident(g,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal4) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(f15,axiom,
! [X0,X1] :
( incident(X0,X1)
=> point_equal(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(f16,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f19,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f20,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& line_equal(X0,X1) )
=> line_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( colinear(X0,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) )
=> ( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pappus1) ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(f25,axiom,
! [X0,X1] :
( ( point_equal(X1,X1)
& point_equal(X0,X0) )
=> ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
fof(f27,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f28,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f27]) ).
fof(f30,plain,
~ goal,
inference(flattening,[],[f28]) ).
fof(f31,plain,
( goal
| ~ incident(a,m) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
( goal
| ~ incident(b,m) ),
inference(ennf_transformation,[],[f6]) ).
fof(f33,plain,
( goal
| ~ incident(c,m) ),
inference(ennf_transformation,[],[f7]) ).
fof(f34,plain,
( goal
| ~ incident(d,l) ),
inference(ennf_transformation,[],[f8]) ).
fof(f35,plain,
( goal
| ~ incident(e,l) ),
inference(ennf_transformation,[],[f9]) ).
fof(f36,plain,
( goal
| ~ incident(f,l) ),
inference(ennf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f42,plain,
! [X0,X1] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f48,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ 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) ),
inference(ennf_transformation,[],[f23]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ 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) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X6,X7,X8] :
( ? [X17] : colinear(X6,X7,X8,X17)
=> colinear(X6,X7,X8,sK0(X6,X7,X8)) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| colinear(X6,X7,X8,sK0(X6,X7,X8))
| ~ 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f55,f62]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
=> ( incident(X1,sK1(X0,X1))
& incident(X0,sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1] :
( ( incident(X1,sK1(X0,X1))
& incident(X0,sK1(X0,X1)) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f59,f64]) ).
fof(f69,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
( goal
| ~ incident(a,m) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
( goal
| ~ incident(b,m) ),
inference(cnf_transformation,[],[f32]) ).
fof(f79,plain,
( goal
| ~ incident(c,m) ),
inference(cnf_transformation,[],[f33]) ).
fof(f80,plain,
( goal
| ~ incident(d,l) ),
inference(cnf_transformation,[],[f34]) ).
fof(f81,plain,
( goal
| ~ incident(e,l) ),
inference(cnf_transformation,[],[f35]) ).
fof(f82,plain,
( goal
| ~ incident(f,l) ),
inference(cnf_transformation,[],[f36]) ).
fof(f83,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f87,plain,
! [X0,X1] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f88,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f91,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f92,plain,
! [X2,X0,X1] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f93,plain,
! [X2,X0,X1] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f94,plain,
! [X2,X0,X1] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f95,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X7,X4,X15,X5,X12,X13] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| colinear(X6,X7,X8,sK0(X6,X7,X8))
| ~ 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) ),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f97,plain,
! [X0,X1] :
( incident(X0,sK1(X0,X1))
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f98,plain,
! [X0,X1] :
( incident(X1,sK1(X0,X1))
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f101,plain,
~ goal,
inference(cnf_transformation,[],[f30]) ).
cnf(c_49,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f70]) ).
cnf(c_50,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f69]) ).
cnf(c_51,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f72]) ).
cnf(c_52,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f71]) ).
cnf(c_53,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f74]) ).
cnf(c_54,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f73]) ).
cnf(c_55,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f76]) ).
cnf(c_56,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f75]) ).
cnf(c_57,plain,
( ~ incident(a,m)
| goal ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_58,plain,
( ~ incident(b,m)
| goal ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_59,plain,
( ~ incident(c,m)
| goal ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_60,plain,
( ~ incident(d,l)
| goal ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_61,plain,
( ~ incident(e,l)
| goal ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_62,plain,
( ~ incident(f,l)
| goal ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_63,plain,
( ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0)
| goal ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_64,plain,
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_65,plain,
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_66,plain,
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_67,plain,
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_68,plain,
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_71,plain,
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_72,plain,
( ~ line_equal(X0,X1)
| ~ line_equal(X1,X2)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_73,plain,
( ~ incident(X0,X1)
| ~ point_equal(X2,X0)
| incident(X2,X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_74,plain,
( ~ incident(X0,X1)
| ~ line_equal(X1,X2)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_75,plain,
( ~ colinear(X0,X1,X2,X3)
| ~ colinear(X0,X4,X5,X6)
| ~ colinear(X0,X7,X8,X9)
| ~ colinear(X1,X4,X13,X14)
| ~ colinear(X1,X10,X8,X12)
| ~ colinear(X2,X7,X13,X16)
| ~ colinear(X2,X10,X5,X15)
| ~ colinear(X10,X7,X4,X11)
| colinear(X13,X8,X5,sK0(X13,X8,X5))
| line_equal(X12,X9)
| line_equal(X14,X16)
| line_equal(X15,X6) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_76,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(X3,X1)
| ~ incident(X3,X2)
| point_equal(X3,X0)
| line_equal(X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_77,plain,
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_78,plain,
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_81,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f101]) ).
cnf(c_101,plain,
( ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_81,c_63]) ).
cnf(c_102,plain,
( ~ incident(g,X0)
| ~ incident(h,X0)
| ~ incident(i,X0) ),
inference(renaming,[status(thm)],[c_101]) ).
cnf(c_104,plain,
( ~ incident(g,X0_14)
| ~ incident(h,X0_14)
| ~ incident(i,X0_14) ),
inference(subtyping,[status(esa)],[c_102]) ).
cnf(c_113,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(X1_13,X1_13)
| incident(X0_13,sK1(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_78]) ).
cnf(c_114,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(X1_13,X1_13)
| incident(X1_13,sK1(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_77]) ).
cnf(c_115,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(X1_13,X0_14)
| ~ incident(X1_13,X1_14)
| point_equal(X0_13,X1_13)
| line_equal(X0_14,X1_14) ),
inference(subtyping,[status(esa)],[c_76]) ).
cnf(c_116,plain,
( ~ colinear(X0_13,X1_13,X2_13,X0_14)
| ~ colinear(X0_13,X3_13,X4_13,X1_14)
| ~ colinear(X0_13,X5_13,X6_13,X2_14)
| ~ colinear(X1_13,X3_13,X7_13,X3_14)
| ~ colinear(X1_13,X8_13,X6_13,X4_14)
| ~ colinear(X2_13,X5_13,X7_13,X5_14)
| ~ colinear(X2_13,X8_13,X4_13,X6_14)
| ~ colinear(X8_13,X5_13,X3_13,X7_14)
| colinear(X7_13,X6_13,X4_13,sK0(X7_13,X6_13,X4_13))
| line_equal(X3_14,X5_14)
| line_equal(X4_14,X2_14)
| line_equal(X6_14,X1_14) ),
inference(subtyping,[status(esa)],[c_75]) ).
cnf(c_117,plain,
( ~ incident(X0_13,X0_14)
| ~ line_equal(X0_14,X1_14)
| incident(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_74]) ).
cnf(c_118,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(X1_13,X0_13)
| incident(X1_13,X0_14) ),
inference(subtyping,[status(esa)],[c_73]) ).
cnf(c_119,plain,
( ~ line_equal(X0_14,X1_14)
| ~ line_equal(X2_14,X0_14)
| line_equal(X2_14,X1_14) ),
inference(subtyping,[status(esa)],[c_72]) ).
cnf(c_120,plain,
( ~ line_equal(X0_14,X1_14)
| line_equal(X1_14,X0_14) ),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_123,plain,
( ~ point_equal(X0_13,X1_13)
| point_equal(X1_13,X0_13) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_124,plain,
( ~ incident(X0_13,X0_14)
| point_equal(X0_13,X0_13) ),
inference(subtyping,[status(esa)],[c_67]) ).
cnf(c_125,plain,
( ~ colinear(X0_13,X1_13,X2_13,X0_14)
| incident(X2_13,X0_14) ),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_126,plain,
( ~ colinear(X0_13,X1_13,X2_13,X0_14)
| incident(X1_13,X0_14) ),
inference(subtyping,[status(esa)],[c_65]) ).
cnf(c_127,plain,
( ~ colinear(X0_13,X1_13,X2_13,X0_14)
| incident(X0_13,X0_14) ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_128,plain,
colinear(c,d,i,r),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_129,plain,
colinear(a,f,i,s),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_130,plain,
colinear(b,d,h,p),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_131,plain,
colinear(a,e,h,q),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_132,plain,
colinear(b,f,g,n),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_133,plain,
colinear(c,e,g,o),
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_134,plain,
colinear(a,b,c,l),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_135,plain,
colinear(d,e,f,m),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_137,plain,
( ~ incident(a,l)
| point_equal(a,a) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_144,plain,
( ~ colinear(d,e,f,m)
| incident(f,m) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_145,plain,
( ~ colinear(a,b,c,l)
| incident(c,l) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_146,plain,
( ~ colinear(c,e,g,o)
| incident(g,o) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_147,plain,
( ~ colinear(b,f,g,n)
| incident(g,n) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_148,plain,
( ~ colinear(a,e,h,q)
| incident(h,q) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_149,plain,
( ~ colinear(b,d,h,p)
| incident(h,p) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_150,plain,
( ~ colinear(a,f,i,s)
| incident(i,s) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_151,plain,
( ~ colinear(c,d,i,r)
| incident(i,r) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_152,plain,
( ~ colinear(d,e,f,m)
| incident(e,m) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_153,plain,
( ~ colinear(a,b,c,l)
| incident(b,l) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_154,plain,
( ~ colinear(c,e,g,o)
| incident(e,o) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_155,plain,
( ~ colinear(b,f,g,n)
| incident(f,n) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_156,plain,
( ~ colinear(a,e,h,q)
| incident(e,q) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_157,plain,
( ~ colinear(b,d,h,p)
| incident(d,p) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_158,plain,
( ~ colinear(a,f,i,s)
| incident(f,s) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_159,plain,
( ~ colinear(c,d,i,r)
| incident(d,r) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_160,plain,
( ~ colinear(d,e,f,m)
| incident(d,m) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_161,plain,
( ~ colinear(a,b,c,l)
| incident(a,l) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_162,plain,
( ~ colinear(c,e,g,o)
| incident(c,o) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_163,plain,
( ~ colinear(b,f,g,n)
| incident(b,n) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_164,plain,
( ~ colinear(a,e,h,q)
| incident(a,q) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_165,plain,
( ~ colinear(b,d,h,p)
| incident(b,p) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_166,plain,
( ~ colinear(a,f,i,s)
| incident(a,s) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_167,plain,
( ~ colinear(c,d,i,r)
| incident(c,r) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_176,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(f,X0_14)
| ~ incident(f,m)
| point_equal(X0_13,f)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_179,plain,
( ~ incident(g,s)
| ~ incident(h,s)
| ~ incident(i,s) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_181,plain,
( ~ incident(a,X0_14)
| ~ line_equal(X0_14,m)
| incident(a,m) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_183,plain,
( ~ incident(b,X0_14)
| ~ line_equal(X0_14,m)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_185,plain,
( ~ incident(c,X0_14)
| ~ line_equal(X0_14,m)
| incident(c,m) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_187,plain,
( ~ incident(d,X0_14)
| ~ line_equal(X0_14,l)
| incident(d,l) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_188,plain,
( ~ incident(e,X0_14)
| ~ line_equal(X0_14,l)
| incident(e,l) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_189,plain,
( ~ incident(f,X0_14)
| ~ line_equal(X0_14,l)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_190,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(i,X0_14)
| incident(i,X1_14) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_191,plain,
( ~ incident(X0_13,m)
| ~ point_equal(a,X0_13)
| incident(a,m) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_192,plain,
( ~ incident(X0_13,m)
| ~ point_equal(b,X0_13)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_196,plain,
( ~ incident(X0_13,l)
| ~ point_equal(e,X0_13)
| incident(e,l) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_197,plain,
( ~ incident(a,l)
| ~ point_equal(e,a)
| incident(e,l) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_198,plain,
( ~ incident(X0_13,l)
| ~ point_equal(f,X0_13)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_199,plain,
( ~ incident(a,l)
| ~ point_equal(f,a)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_200,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(i,X0_13)
| incident(i,X0_14) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_201,plain,
( ~ incident(a,l)
| ~ point_equal(i,a)
| incident(i,l) ),
inference(instantiation,[status(thm)],[c_200]) ).
cnf(c_206,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(i,i)
| incident(i,sK1(X0_13,i)) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_208,plain,
( ~ point_equal(a,a)
| ~ point_equal(i,i)
| incident(i,sK1(a,i)) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_211,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X1_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(X1_13,m)
| point_equal(X0_13,X1_13)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_237,plain,
( ~ incident(h,X0_14)
| ~ line_equal(X0_14,s)
| incident(h,s) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_239,plain,
( ~ incident(X0_13,s)
| ~ point_equal(h,X0_13)
| incident(h,s) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_240,plain,
( ~ incident(a,s)
| ~ point_equal(h,a)
| incident(h,s) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_241,plain,
( ~ incident(h,X0_14)
| ~ line_equal(X0_14,r)
| incident(h,r) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_267,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(d,X0_13)
| incident(d,X0_14) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_268,plain,
( ~ incident(d,p)
| ~ line_equal(p,l)
| incident(d,l) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_269,plain,
( ~ incident(d,r)
| ~ line_equal(r,l)
| incident(d,l) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_279,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(e,X0_14)
| incident(e,X1_14) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_280,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(e,X0_13)
| incident(e,X0_14) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_282,plain,
( ~ incident(e,o)
| ~ line_equal(o,l)
| incident(e,l) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_283,plain,
( ~ incident(e,q)
| ~ line_equal(q,l)
| incident(e,l) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_292,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(f,X0_14)
| incident(f,X1_14) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_295,plain,
( ~ incident(f,n)
| ~ line_equal(n,l)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_296,plain,
( ~ incident(f,s)
| ~ line_equal(s,l)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_308,plain,
( ~ incident(e,m)
| ~ point_equal(a,e)
| incident(a,m) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_363,plain,
( ~ line_equal(s,X0_14)
| ~ incident(i,s)
| incident(i,X0_14) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_372,plain,
( ~ point_equal(X0_13,i)
| point_equal(i,X0_13) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_373,plain,
( ~ point_equal(a,i)
| point_equal(i,a) ),
inference(instantiation,[status(thm)],[c_372]) ).
cnf(c_384,plain,
( ~ incident(X0_13,m)
| ~ incident(X0_13,n)
| ~ incident(f,m)
| ~ incident(f,n)
| point_equal(X0_13,f)
| line_equal(n,m) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_385,plain,
( ~ incident(X0_13,m)
| ~ incident(X0_13,s)
| ~ incident(f,m)
| ~ incident(f,s)
| point_equal(X0_13,f)
| line_equal(s,m) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_418,plain,
incident(f,m),
inference(resolution,[status(thm)],[c_125,c_135]) ).
cnf(c_419,plain,
incident(c,l),
inference(resolution,[status(thm)],[c_125,c_134]) ).
cnf(c_420,plain,
incident(g,o),
inference(resolution,[status(thm)],[c_125,c_133]) ).
cnf(c_421,plain,
incident(g,n),
inference(resolution,[status(thm)],[c_125,c_132]) ).
cnf(c_422,plain,
incident(h,q),
inference(resolution,[status(thm)],[c_125,c_131]) ).
cnf(c_423,plain,
incident(h,p),
inference(resolution,[status(thm)],[c_125,c_130]) ).
cnf(c_424,plain,
incident(i,s),
inference(resolution,[status(thm)],[c_125,c_129]) ).
cnf(c_425,plain,
incident(i,r),
inference(resolution,[status(thm)],[c_125,c_128]) ).
cnf(c_430,plain,
incident(e,m),
inference(resolution,[status(thm)],[c_126,c_135]) ).
cnf(c_431,plain,
incident(b,l),
inference(resolution,[status(thm)],[c_126,c_134]) ).
cnf(c_432,plain,
incident(e,o),
inference(resolution,[status(thm)],[c_126,c_133]) ).
cnf(c_433,plain,
incident(f,n),
inference(resolution,[status(thm)],[c_126,c_132]) ).
cnf(c_434,plain,
incident(e,q),
inference(resolution,[status(thm)],[c_126,c_131]) ).
cnf(c_435,plain,
incident(d,p),
inference(resolution,[status(thm)],[c_126,c_130]) ).
cnf(c_436,plain,
incident(f,s),
inference(resolution,[status(thm)],[c_126,c_129]) ).
cnf(c_437,plain,
incident(d,r),
inference(resolution,[status(thm)],[c_126,c_128]) ).
cnf(c_493,plain,
point_equal(g,g),
inference(resolution,[status(thm)],[c_124,c_420]) ).
cnf(c_495,plain,
point_equal(h,h),
inference(resolution,[status(thm)],[c_124,c_422]) ).
cnf(c_497,plain,
point_equal(i,i),
inference(resolution,[status(thm)],[c_124,c_424]) ).
cnf(c_510,plain,
incident(d,m),
inference(resolution,[status(thm)],[c_127,c_135]) ).
cnf(c_511,plain,
incident(a,l),
inference(resolution,[status(thm)],[c_127,c_134]) ).
cnf(c_512,plain,
incident(c,o),
inference(resolution,[status(thm)],[c_127,c_133]) ).
cnf(c_513,plain,
incident(b,n),
inference(resolution,[status(thm)],[c_127,c_132]) ).
cnf(c_514,plain,
incident(a,q),
inference(resolution,[status(thm)],[c_127,c_131]) ).
cnf(c_515,plain,
incident(b,p),
inference(resolution,[status(thm)],[c_127,c_130]) ).
cnf(c_516,plain,
incident(a,s),
inference(resolution,[status(thm)],[c_127,c_129]) ).
cnf(c_517,plain,
incident(c,r),
inference(resolution,[status(thm)],[c_127,c_128]) ).
cnf(c_549,plain,
( ~ incident(X0_13,l)
| ~ incident(X0_13,r)
| ~ incident(X1_13,l)
| ~ incident(X1_13,r)
| point_equal(X0_13,X1_13)
| line_equal(r,l) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_744,plain,
( ~ incident(g,s)
| ~ incident(h,s) ),
inference(resolution,[status(thm)],[c_104,c_424]) ).
cnf(c_748,plain,
( ~ line_equal(l,q)
| line_equal(q,l) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_829,plain,
( ~ point_equal(X0_13,X0_13)
| incident(X0_13,sK1(X0_13,i)) ),
inference(resolution,[status(thm)],[c_113,c_497]) ).
cnf(c_830,plain,
( ~ point_equal(a,a)
| incident(a,sK1(a,i)) ),
inference(instantiation,[status(thm)],[c_829]) ).
cnf(c_841,plain,
( ~ point_equal(X0_13,X0_13)
| incident(X0_13,sK1(X0_13,h)) ),
inference(resolution,[status(thm)],[c_113,c_495]) ).
cnf(c_890,plain,
( ~ point_equal(X0_13,X0_13)
| incident(X0_13,sK1(h,X0_13)) ),
inference(resolution,[status(thm)],[c_114,c_495]) ).
cnf(c_894,plain,
( ~ line_equal(l,s)
| line_equal(s,l) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_915,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,l)
| ~ incident(a,X0_14)
| point_equal(X0_13,a)
| line_equal(X0_14,l) ),
inference(resolution,[status(thm)],[c_115,c_511]) ).
cnf(c_916,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(f,X0_14)
| point_equal(X0_13,f)
| line_equal(X0_14,m) ),
inference(resolution,[status(thm)],[c_115,c_418]) ).
cnf(c_917,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,l)
| ~ incident(c,X0_14)
| point_equal(X0_13,c)
| line_equal(X0_14,l) ),
inference(resolution,[status(thm)],[c_115,c_419]) ).
cnf(c_918,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,o)
| ~ incident(g,X0_14)
| point_equal(X0_13,g)
| line_equal(X0_14,o) ),
inference(resolution,[status(thm)],[c_115,c_420]) ).
cnf(c_920,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,n)
| ~ incident(g,X0_14)
| point_equal(X0_13,g)
| line_equal(X0_14,n) ),
inference(resolution,[status(thm)],[c_115,c_421]) ).
cnf(c_922,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(h,X0_14)
| point_equal(X0_13,h)
| line_equal(X0_14,q) ),
inference(resolution,[status(thm)],[c_115,c_422]) ).
cnf(c_923,plain,
( ~ incident(a,l)
| ~ incident(a,q)
| ~ incident(h,l)
| point_equal(a,h)
| line_equal(l,q) ),
inference(instantiation,[status(thm)],[c_922]) ).
cnf(c_924,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,p)
| ~ incident(h,X0_14)
| point_equal(X0_13,h)
| line_equal(X0_14,p) ),
inference(resolution,[status(thm)],[c_115,c_423]) ).
cnf(c_926,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,s)
| ~ incident(i,X0_14)
| point_equal(X0_13,i)
| line_equal(X0_14,s) ),
inference(resolution,[status(thm)],[c_115,c_424]) ).
cnf(c_927,plain,
( ~ incident(a,l)
| ~ incident(a,s)
| ~ incident(i,l)
| point_equal(a,i)
| line_equal(l,s) ),
inference(instantiation,[status(thm)],[c_926]) ).
cnf(c_928,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,r)
| ~ incident(i,X0_14)
| point_equal(X0_13,i)
| line_equal(X0_14,r) ),
inference(resolution,[status(thm)],[c_115,c_425]) ).
cnf(c_931,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,l)
| ~ incident(b,X0_14)
| point_equal(X0_13,b)
| line_equal(X0_14,l) ),
inference(resolution,[status(thm)],[c_115,c_431]) ).
cnf(c_932,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,o)
| ~ incident(e,X0_14)
| point_equal(X0_13,e)
| line_equal(X0_14,o) ),
inference(resolution,[status(thm)],[c_115,c_432]) ).
cnf(c_933,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,n)
| ~ incident(f,X0_14)
| point_equal(X0_13,f)
| line_equal(X0_14,n) ),
inference(resolution,[status(thm)],[c_115,c_433]) ).
cnf(c_934,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(e,X0_14)
| point_equal(X0_13,e)
| line_equal(X0_14,q) ),
inference(resolution,[status(thm)],[c_115,c_434]) ).
cnf(c_935,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,p)
| ~ incident(d,X0_14)
| point_equal(X0_13,d)
| line_equal(X0_14,p) ),
inference(resolution,[status(thm)],[c_115,c_435]) ).
cnf(c_936,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,s)
| ~ incident(f,X0_14)
| point_equal(X0_13,f)
| line_equal(X0_14,s) ),
inference(resolution,[status(thm)],[c_115,c_436]) ).
cnf(c_937,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,r)
| ~ incident(d,X0_14)
| point_equal(X0_13,d)
| line_equal(X0_14,r) ),
inference(resolution,[status(thm)],[c_115,c_437]) ).
cnf(c_938,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(d,X0_14)
| point_equal(X0_13,d)
| line_equal(X0_14,m) ),
inference(resolution,[status(thm)],[c_115,c_510]) ).
cnf(c_939,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,o)
| ~ incident(c,X0_14)
| point_equal(X0_13,c)
| line_equal(X0_14,o) ),
inference(resolution,[status(thm)],[c_115,c_512]) ).
cnf(c_943,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(a,X0_14)
| point_equal(X0_13,a)
| line_equal(X0_14,q) ),
inference(resolution,[status(thm)],[c_115,c_514]) ).
cnf(c_944,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,p)
| ~ incident(b,X0_14)
| point_equal(X0_13,b)
| line_equal(X0_14,p) ),
inference(resolution,[status(thm)],[c_115,c_515]) ).
cnf(c_946,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,s)
| ~ incident(a,X0_14)
| point_equal(X0_13,a)
| line_equal(X0_14,s) ),
inference(resolution,[status(thm)],[c_115,c_516]) ).
cnf(c_957,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(h,h)
| incident(h,sK1(h,X0_13)) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_961,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(h,h)
| incident(h,sK1(X0_13,h)) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_963,plain,
( ~ point_equal(a,a)
| ~ point_equal(h,h)
| incident(h,sK1(a,h)) ),
inference(instantiation,[status(thm)],[c_961]) ).
cnf(c_964,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(h,X0_14)
| incident(h,X1_14) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_965,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(h,X0_13)
| incident(h,X0_14) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_966,plain,
( ~ incident(a,l)
| ~ point_equal(h,a)
| incident(h,l) ),
inference(instantiation,[status(thm)],[c_965]) ).
cnf(c_967,plain,
( ~ incident(h,q)
| ~ line_equal(q,s)
| incident(h,s) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_970,plain,
( ~ point_equal(X0_13,h)
| point_equal(h,X0_13) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_971,plain,
( ~ point_equal(a,h)
| point_equal(h,a) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_980,plain,
( ~ incident(h,p)
| ~ line_equal(p,r)
| incident(h,r) ),
inference(instantiation,[status(thm)],[c_241]) ).
cnf(c_1192,plain,
( ~ point_equal(f,X0_13)
| point_equal(X0_13,f) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_1199,plain,
( ~ line_equal(X0_14,s)
| line_equal(s,X0_14) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_1265,plain,
( ~ line_equal(X0_14,r)
| line_equal(r,X0_14) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_1275,plain,
( ~ point_equal(i,X0_13)
| point_equal(X0_13,i) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_1276,plain,
( ~ point_equal(i,a)
| point_equal(a,i) ),
inference(instantiation,[status(thm)],[c_1275]) ).
cnf(c_1320,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,n)
| incident(X0_13,n) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_1355,plain,
( ~ incident(d,m)
| ~ incident(d,s)
| ~ incident(f,m)
| ~ incident(f,s)
| point_equal(d,f)
| line_equal(s,m) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1371,plain,
( ~ line_equal(q,X0_14)
| ~ incident(e,q)
| incident(e,X0_14) ),
inference(instantiation,[status(thm)],[c_279]) ).
cnf(c_1410,plain,
( ~ line_equal(s,X0_14)
| ~ incident(f,s)
| incident(f,X0_14) ),
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_1468,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(e,X0_14)
| ~ incident(e,m)
| point_equal(X0_13,e)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_211]) ).
cnf(c_1469,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(d,X0_14)
| ~ incident(d,m)
| point_equal(X0_13,d)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_211]) ).
cnf(c_1835,plain,
( ~ incident(X0_13,q)
| ~ incident(X0_13,s)
| ~ incident(X1_13,q)
| ~ incident(X1_13,s)
| point_equal(X0_13,X1_13)
| line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_2122,plain,
( ~ incident(f,X0_14)
| ~ point_equal(e,f)
| incident(e,X0_14) ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_2127,plain,
( ~ incident(f,X0_14)
| ~ point_equal(d,f)
| incident(d,X0_14) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_2561,plain,
( ~ incident(a,q)
| ~ incident(h,l)
| point_equal(h,a)
| line_equal(q,l) ),
inference(resolution,[status(thm)],[c_915,c_422]) ).
cnf(c_2575,plain,
( ~ incident(a,n)
| ~ incident(b,l)
| point_equal(b,a)
| line_equal(n,l) ),
inference(resolution,[status(thm)],[c_915,c_513]) ).
cnf(c_2577,plain,
( ~ incident(a,p)
| ~ incident(b,l)
| point_equal(b,a)
| line_equal(p,l) ),
inference(resolution,[status(thm)],[c_915,c_515]) ).
cnf(c_2579,plain,
( ~ incident(a,r)
| ~ incident(c,l)
| point_equal(c,a)
| line_equal(r,l) ),
inference(resolution,[status(thm)],[c_915,c_517]) ).
cnf(c_2947,plain,
( ~ incident(g,sK1(h,i))
| ~ incident(h,sK1(h,i))
| ~ point_equal(i,i) ),
inference(resolution,[status(thm)],[c_890,c_104]) ).
cnf(c_3115,plain,
( ~ point_equal(h,h)
| ~ point_equal(i,i)
| incident(h,sK1(h,i)) ),
inference(instantiation,[status(thm)],[c_957]) ).
cnf(c_3192,plain,
( ~ line_equal(q,X0_14)
| ~ incident(h,q)
| incident(h,X0_14) ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_3304,plain,
( ~ incident(e,m)
| ~ incident(f,o)
| point_equal(e,f)
| line_equal(o,m) ),
inference(resolution,[status(thm)],[c_916,c_432]) ).
cnf(c_3307,plain,
( ~ incident(d,m)
| ~ incident(f,p)
| point_equal(d,f)
| line_equal(p,m) ),
inference(resolution,[status(thm)],[c_916,c_435]) ).
cnf(c_3309,plain,
( ~ incident(d,m)
| ~ incident(f,r)
| point_equal(d,f)
| line_equal(r,m) ),
inference(resolution,[status(thm)],[c_916,c_437]) ).
cnf(c_3363,plain,
incident(f,m),
inference(superposition,[status(thm)],[c_135,c_125]) ).
cnf(c_3365,plain,
incident(g,o),
inference(superposition,[status(thm)],[c_133,c_125]) ).
cnf(c_3368,plain,
incident(h,p),
inference(superposition,[status(thm)],[c_130,c_125]) ).
cnf(c_3369,plain,
incident(i,s),
inference(superposition,[status(thm)],[c_129,c_125]) ).
cnf(c_3370,plain,
incident(i,r),
inference(superposition,[status(thm)],[c_128,c_125]) ).
cnf(c_3383,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(f,X0_14)
| point_equal(f,X0_13)
| line_equal(X0_14,m) ),
inference(superposition,[status(thm)],[c_3363,c_115]) ).
cnf(c_3443,plain,
( ~ incident(h,o)
| ~ incident(i,o) ),
inference(superposition,[status(thm)],[c_3365,c_104]) ).
cnf(c_3557,plain,
( ~ incident(c,q)
| ~ incident(h,l)
| point_equal(h,c)
| line_equal(q,l) ),
inference(resolution,[status(thm)],[c_917,c_422]) ).
cnf(c_3560,plain,
( ~ incident(c,r)
| ~ incident(i,l)
| point_equal(i,c)
| line_equal(r,l) ),
inference(resolution,[status(thm)],[c_917,c_425]) ).
cnf(c_3571,plain,
( ~ incident(b,l)
| ~ incident(c,n)
| point_equal(b,c)
| line_equal(n,l) ),
inference(resolution,[status(thm)],[c_917,c_513]) ).
cnf(c_3574,plain,
( ~ incident(a,l)
| ~ incident(c,s)
| point_equal(a,c)
| line_equal(s,l) ),
inference(resolution,[status(thm)],[c_917,c_516]) ).
cnf(c_3690,plain,
( ~ point_equal(X0_13,h)
| incident(X0_13,p) ),
inference(superposition,[status(thm)],[c_3368,c_118]) ).
cnf(c_3695,plain,
( ~ point_equal(a,h)
| incident(a,p) ),
inference(instantiation,[status(thm)],[c_3690]) ).
cnf(c_3730,plain,
( ~ line_equal(s,X0_14)
| incident(i,X0_14) ),
inference(superposition,[status(thm)],[c_3369,c_117]) ).
cnf(c_3778,plain,
( ~ point_equal(X0_13,i)
| incident(X0_13,r) ),
inference(superposition,[status(thm)],[c_3370,c_118]) ).
cnf(c_3779,plain,
( ~ line_equal(r,X0_14)
| incident(i,X0_14) ),
inference(superposition,[status(thm)],[c_3370,c_117]) ).
cnf(c_3783,plain,
( ~ point_equal(a,i)
| incident(a,r) ),
inference(instantiation,[status(thm)],[c_3778]) ).
cnf(c_3950,plain,
( ~ incident(X0_13,X0_14)
| ~ line_equal(X0_14,p)
| incident(X0_13,p) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_3952,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,p)
| incident(X0_13,p) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_3975,plain,
( ~ incident(g,s)
| ~ incident(i,o)
| point_equal(i,g)
| line_equal(s,o) ),
inference(resolution,[status(thm)],[c_918,c_424]) ).
cnf(c_3988,plain,
( ~ incident(a,o)
| ~ incident(g,q)
| point_equal(a,g)
| line_equal(q,o) ),
inference(resolution,[status(thm)],[c_918,c_514]) ).
cnf(c_4068,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,r)
| incident(X0_13,r) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_4072,plain,
( ~ incident(X0_13,l)
| ~ incident(X0_13,r)
| ~ incident(c,l)
| ~ incident(c,r)
| point_equal(X0_13,c)
| line_equal(r,l) ),
inference(instantiation,[status(thm)],[c_549]) ).
cnf(c_4073,plain,
( ~ incident(a,l)
| ~ incident(a,r)
| ~ incident(c,l)
| ~ incident(c,r)
| point_equal(a,c)
| line_equal(r,l) ),
inference(instantiation,[status(thm)],[c_4072]) ).
cnf(c_4095,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,o)
| incident(X0_13,o) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_4338,plain,
( ~ incident(X0_13,m)
| ~ incident(X0_13,q)
| ~ incident(e,m)
| ~ incident(e,q)
| point_equal(X0_13,e)
| line_equal(q,m) ),
inference(instantiation,[status(thm)],[c_1468]) ).
cnf(c_4347,plain,
( ~ incident(X0_13,m)
| ~ incident(X0_13,p)
| ~ incident(d,m)
| ~ incident(d,p)
| point_equal(X0_13,d)
| line_equal(p,m) ),
inference(instantiation,[status(thm)],[c_1469]) ).
cnf(c_4353,plain,
incident(b,l),
inference(superposition,[status(thm)],[c_134,c_126]) ).
cnf(c_4354,plain,
incident(e,o),
inference(superposition,[status(thm)],[c_133,c_126]) ).
cnf(c_4355,plain,
incident(f,n),
inference(superposition,[status(thm)],[c_132,c_126]) ).
cnf(c_4356,plain,
incident(e,q),
inference(superposition,[status(thm)],[c_131,c_126]) ).
cnf(c_4357,plain,
incident(d,p),
inference(superposition,[status(thm)],[c_130,c_126]) ).
cnf(c_4358,plain,
incident(f,s),
inference(superposition,[status(thm)],[c_129,c_126]) ).
cnf(c_4359,plain,
incident(d,r),
inference(superposition,[status(thm)],[c_128,c_126]) ).
cnf(c_4814,plain,
( ~ incident(a,n)
| ~ incident(g,q)
| point_equal(a,g)
| line_equal(q,n) ),
inference(resolution,[status(thm)],[c_920,c_514]) ).
cnf(c_5194,plain,
( ~ incident(b,q)
| ~ incident(h,p)
| point_equal(b,h)
| line_equal(p,q) ),
inference(resolution,[status(thm)],[c_922,c_515]) ).
cnf(c_5244,plain,
( ~ incident(h,sK1(X0_13,h))
| ~ point_equal(X0_13,X0_13)
| ~ incident(X0_13,q)
| line_equal(sK1(X0_13,h),q)
| point_equal(X0_13,h) ),
inference(resolution,[status(thm)],[c_922,c_841]) ).
cnf(c_5245,plain,
( ~ incident(h,sK1(a,h))
| ~ incident(a,q)
| ~ point_equal(a,a)
| line_equal(sK1(a,h),q)
| point_equal(a,h) ),
inference(instantiation,[status(thm)],[c_5244]) ).
cnf(c_5611,plain,
( ~ incident(X0_13,sK1(h,i))
| ~ point_equal(g,X0_13)
| incident(g,sK1(h,i)) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_5658,plain,
( ~ incident(g,X0_14)
| ~ line_equal(X0_14,s)
| incident(g,s) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_5823,plain,
incident(d,m),
inference(superposition,[status(thm)],[c_135,c_127]) ).
cnf(c_5825,plain,
incident(c,o),
inference(superposition,[status(thm)],[c_133,c_127]) ).
cnf(c_5826,plain,
incident(b,n),
inference(superposition,[status(thm)],[c_132,c_127]) ).
cnf(c_5827,plain,
incident(a,q),
inference(superposition,[status(thm)],[c_131,c_127]) ).
cnf(c_5828,plain,
incident(b,p),
inference(superposition,[status(thm)],[c_130,c_127]) ).
cnf(c_5829,plain,
incident(a,s),
inference(superposition,[status(thm)],[c_129,c_127]) ).
cnf(c_5830,plain,
incident(c,r),
inference(superposition,[status(thm)],[c_128,c_127]) ).
cnf(c_5893,plain,
( ~ point_equal(X0_13,b)
| incident(X0_13,l) ),
inference(superposition,[status(thm)],[c_4353,c_118]) ).
cnf(c_5932,plain,
( ~ incident(f,s)
| ~ point_equal(e,f)
| incident(e,s) ),
inference(instantiation,[status(thm)],[c_2122]) ).
cnf(c_5955,plain,
( ~ incident(f,n)
| ~ point_equal(d,f)
| incident(d,n) ),
inference(instantiation,[status(thm)],[c_2127]) ).
cnf(c_5956,plain,
( ~ incident(f,s)
| ~ point_equal(d,f)
| incident(d,s) ),
inference(instantiation,[status(thm)],[c_2127]) ).
cnf(c_6011,plain,
( ~ point_equal(X0_13,e)
| incident(X0_13,o) ),
inference(superposition,[status(thm)],[c_4354,c_118]) ).
cnf(c_6060,plain,
( ~ line_equal(n,X0_14)
| incident(f,X0_14) ),
inference(superposition,[status(thm)],[c_4355,c_117]) ).
cnf(c_6162,plain,
( ~ incident(f,m)
| ~ point_equal(b,f)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_6164,plain,
( ~ incident(d,m)
| ~ point_equal(b,d)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_6212,plain,
( ~ incident(b,l)
| ~ point_equal(f,b)
| incident(f,l) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_6254,plain,
( ~ point_equal(X0_13,d)
| incident(X0_13,p) ),
inference(superposition,[status(thm)],[c_4357,c_118]) ).
cnf(c_6255,plain,
( ~ line_equal(p,X0_14)
| incident(d,X0_14) ),
inference(superposition,[status(thm)],[c_4357,c_117]) ).
cnf(c_6359,plain,
( ~ point_equal(X0_13,f)
| incident(X0_13,s) ),
inference(superposition,[status(thm)],[c_4358,c_118]) ).
cnf(c_6360,plain,
( ~ line_equal(s,X0_14)
| incident(f,X0_14) ),
inference(superposition,[status(thm)],[c_4358,c_117]) ).
cnf(c_6437,plain,
( ~ line_equal(r,X0_14)
| incident(d,X0_14) ),
inference(superposition,[status(thm)],[c_4359,c_117]) ).
cnf(c_6482,plain,
( ~ incident(g,p)
| ~ incident(h,o)
| point_equal(g,h)
| line_equal(o,p) ),
inference(resolution,[status(thm)],[c_924,c_420]) ).
cnf(c_6668,plain,
( ~ incident(h,q)
| ~ line_equal(q,o)
| incident(h,o) ),
inference(instantiation,[status(thm)],[c_3192]) ).
cnf(c_6686,plain,
( ~ point_equal(X0_13,d)
| incident(X0_13,m) ),
inference(superposition,[status(thm)],[c_5823,c_118]) ).
cnf(c_6794,plain,
( ~ point_equal(X0_13,c)
| incident(X0_13,o) ),
inference(superposition,[status(thm)],[c_5825,c_118]) ).
cnf(c_6795,plain,
( ~ line_equal(o,X0_14)
| incident(c,X0_14) ),
inference(superposition,[status(thm)],[c_5825,c_117]) ).
cnf(c_6798,plain,
( ~ point_equal(a,c)
| incident(a,o) ),
inference(instantiation,[status(thm)],[c_6794]) ).
cnf(c_6819,plain,
( ~ incident(b,n)
| ~ line_equal(n,m)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_6829,plain,
( ~ point_equal(X0_13,b)
| incident(X0_13,n) ),
inference(superposition,[status(thm)],[c_5826,c_118]) ).
cnf(c_6833,plain,
( ~ point_equal(a,b)
| incident(a,n) ),
inference(instantiation,[status(thm)],[c_6829]) ).
cnf(c_6964,plain,
( ~ line_equal(q,X0_14)
| incident(a,X0_14) ),
inference(superposition,[status(thm)],[c_5827,c_117]) ).
cnf(c_7023,plain,
( ~ incident(X0_13,l)
| ~ point_equal(g,X0_13)
| incident(g,l) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_7024,plain,
( ~ incident(a,l)
| ~ point_equal(g,a)
| incident(g,l) ),
inference(instantiation,[status(thm)],[c_7023]) ).
cnf(c_7043,plain,
( ~ incident(X0_13,q)
| ~ point_equal(b,X0_13)
| incident(b,q) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_7044,plain,
( ~ incident(a,q)
| ~ point_equal(b,a)
| incident(b,q) ),
inference(instantiation,[status(thm)],[c_7043]) ).
cnf(c_7076,plain,
( ~ point_equal(X0_13,b)
| incident(X0_13,p) ),
inference(superposition,[status(thm)],[c_5828,c_118]) ).
cnf(c_7077,plain,
( ~ line_equal(p,X0_14)
| incident(b,X0_14) ),
inference(superposition,[status(thm)],[c_5828,c_117]) ).
cnf(c_7158,plain,
( ~ incident(e,s)
| ~ incident(i,q)
| point_equal(e,i)
| line_equal(q,s) ),
inference(resolution,[status(thm)],[c_926,c_434]) ).
cnf(c_7163,plain,
( ~ incident(c,s)
| ~ incident(i,o)
| point_equal(c,i)
| line_equal(o,s) ),
inference(resolution,[status(thm)],[c_926,c_512]) ).
cnf(c_7204,plain,
( ~ incident(i,sK1(X0_13,i))
| ~ point_equal(X0_13,X0_13)
| ~ incident(X0_13,s)
| line_equal(sK1(X0_13,i),s)
| point_equal(X0_13,i) ),
inference(resolution,[status(thm)],[c_926,c_829]) ).
cnf(c_7205,plain,
( ~ incident(i,sK1(a,i))
| ~ incident(a,s)
| ~ point_equal(a,a)
| line_equal(sK1(a,i),s)
| point_equal(a,i) ),
inference(instantiation,[status(thm)],[c_7204]) ).
cnf(c_7326,plain,
( ~ incident(X0_13,s)
| ~ point_equal(b,X0_13)
| incident(b,s) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_7327,plain,
( ~ incident(a,s)
| ~ point_equal(b,a)
| incident(b,s) ),
inference(instantiation,[status(thm)],[c_7326]) ).
cnf(c_7330,plain,
( ~ incident(X0_13,s)
| ~ point_equal(c,X0_13)
| incident(c,s) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_7331,plain,
( ~ incident(a,s)
| ~ point_equal(c,a)
| incident(c,s) ),
inference(instantiation,[status(thm)],[c_7330]) ).
cnf(c_7368,plain,
( ~ line_equal(s,X0_14)
| incident(a,X0_14) ),
inference(superposition,[status(thm)],[c_5829,c_117]) ).
cnf(c_7441,plain,
( ~ point_equal(X0_13,c)
| incident(X0_13,r) ),
inference(superposition,[status(thm)],[c_5830,c_118]) ).
cnf(c_7442,plain,
( ~ line_equal(r,X0_14)
| incident(c,X0_14) ),
inference(superposition,[status(thm)],[c_5830,c_117]) ).
cnf(c_7445,plain,
( ~ point_equal(a,c)
| incident(a,r) ),
inference(instantiation,[status(thm)],[c_7441]) ).
cnf(c_7490,plain,
( ~ incident(d,m)
| ~ incident(d,q)
| ~ incident(e,m)
| ~ incident(e,q)
| point_equal(d,e)
| line_equal(q,m) ),
inference(instantiation,[status(thm)],[c_4338]) ).
cnf(c_7519,plain,
( ~ incident(d,m)
| ~ incident(d,p)
| ~ incident(e,m)
| ~ incident(e,p)
| point_equal(e,d)
| line_equal(p,m) ),
inference(instantiation,[status(thm)],[c_4347]) ).
cnf(c_7974,plain,
( ~ incident(h,r)
| ~ incident(i,q)
| point_equal(h,i)
| line_equal(q,r) ),
inference(resolution,[status(thm)],[c_928,c_422]) ).
cnf(c_7989,plain,
( ~ incident(a,r)
| ~ incident(i,q)
| point_equal(a,i)
| line_equal(q,r) ),
inference(resolution,[status(thm)],[c_928,c_514]) ).
cnf(c_8781,plain,
( ~ incident(i,X0_14)
| ~ line_equal(X0_14,p)
| incident(i,p) ),
inference(instantiation,[status(thm)],[c_3950]) ).
cnf(c_8783,plain,
( ~ incident(g,p)
| ~ incident(h,p)
| ~ incident(i,p) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_8786,plain,
( ~ incident(f,X0_14)
| ~ line_equal(X0_14,p)
| incident(f,p) ),
inference(instantiation,[status(thm)],[c_3950]) ).
cnf(c_8796,plain,
( ~ incident(e,X0_14)
| ~ line_equal(X0_14,p)
| incident(e,p) ),
inference(instantiation,[status(thm)],[c_3950]) ).
cnf(c_8813,plain,
( ~ incident(b,o)
| ~ incident(g,l)
| point_equal(g,b)
| line_equal(o,l) ),
inference(resolution,[status(thm)],[c_931,c_420]) ).
cnf(c_8814,plain,
( ~ incident(b,n)
| ~ incident(g,l)
| point_equal(g,b)
| line_equal(n,l) ),
inference(resolution,[status(thm)],[c_931,c_421]) ).
cnf(c_8828,plain,
( ~ incident(b,o)
| ~ incident(c,l)
| point_equal(c,b)
| line_equal(o,l) ),
inference(resolution,[status(thm)],[c_931,c_512]) ).
cnf(c_8830,plain,
( ~ incident(a,l)
| ~ incident(b,q)
| point_equal(a,b)
| line_equal(q,l) ),
inference(resolution,[status(thm)],[c_931,c_514]) ).
cnf(c_8927,plain,
( ~ point_equal(X0_13,d)
| ~ incident(d,r)
| incident(X0_13,r) ),
inference(instantiation,[status(thm)],[c_4068]) ).
cnf(c_8964,plain,
( ~ point_equal(X0_13,e)
| ~ incident(e,o)
| incident(X0_13,o) ),
inference(instantiation,[status(thm)],[c_4095]) ).
cnf(c_9192,plain,
( ~ incident(X0_13,q)
| ~ incident(X0_13,s)
| ~ incident(i,q)
| ~ incident(i,s)
| point_equal(i,X0_13)
| line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_1835]) ).
cnf(c_9193,plain,
( ~ incident(a,q)
| ~ incident(a,s)
| ~ incident(i,q)
| ~ incident(i,s)
| point_equal(i,a)
| line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_9192]) ).
cnf(c_9554,plain,
( ~ incident(f,s)
| ~ incident(i,m)
| point_equal(f,i)
| line_equal(s,m) ),
inference(superposition,[status(thm)],[c_3369,c_3383]) ).
cnf(c_9560,plain,
( ~ incident(e,m)
| ~ incident(f,q)
| point_equal(f,e)
| line_equal(q,m) ),
inference(superposition,[status(thm)],[c_4356,c_3383]) ).
cnf(c_9561,plain,
( ~ incident(d,m)
| ~ incident(f,p)
| point_equal(f,d)
| line_equal(p,m) ),
inference(superposition,[status(thm)],[c_4357,c_3383]) ).
cnf(c_9599,plain,
( ~ incident(f,q)
| point_equal(f,e)
| line_equal(q,m) ),
inference(global_subsumption_just,[status(thm)],[c_9560,c_49,c_152,c_9560]) ).
cnf(c_9619,plain,
( ~ incident(i,m)
| point_equal(f,i)
| line_equal(s,m) ),
inference(global_subsumption_just,[status(thm)],[c_9554,c_55,c_158,c_9554]) ).
cnf(c_10260,plain,
( ~ incident(X0_13,p)
| ~ point_equal(f,X0_13)
| incident(f,p) ),
inference(instantiation,[status(thm)],[c_3952]) ).
cnf(c_10277,plain,
( ~ incident(X0_13,n)
| ~ point_equal(e,X0_13)
| incident(e,n) ),
inference(instantiation,[status(thm)],[c_1320]) ).
cnf(c_10426,plain,
( ~ incident(e,q)
| ~ incident(a,o)
| point_equal(a,e)
| line_equal(q,o) ),
inference(resolution,[status(thm)],[c_932,c_514]) ).
cnf(c_10428,plain,
( ~ incident(e,s)
| ~ incident(a,o)
| point_equal(a,e)
| line_equal(s,o) ),
inference(resolution,[status(thm)],[c_932,c_516]) ).
cnf(c_10736,plain,
( ~ incident(f,o)
| ~ incident(g,n)
| point_equal(g,f)
| line_equal(o,n) ),
inference(resolution,[status(thm)],[c_933,c_420]) ).
cnf(c_10742,plain,
( ~ incident(e,n)
| ~ incident(f,m)
| point_equal(e,f)
| line_equal(m,n) ),
inference(resolution,[status(thm)],[c_933,c_430]) ).
cnf(c_11083,plain,
( ~ incident(e,s)
| ~ incident(i,q)
| point_equal(i,e)
| line_equal(s,q) ),
inference(resolution,[status(thm)],[c_934,c_424]) ).
cnf(c_11092,plain,
( ~ incident(d,q)
| ~ incident(e,r)
| point_equal(d,e)
| line_equal(r,q) ),
inference(resolution,[status(thm)],[c_934,c_437]) ).
cnf(c_11098,plain,
( ~ incident(e,s)
| ~ incident(a,q)
| point_equal(a,e)
| line_equal(s,q) ),
inference(resolution,[status(thm)],[c_934,c_516]) ).
cnf(c_11359,plain,
( ~ incident(a,s)
| ~ line_equal(s,m)
| incident(a,m) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_11512,plain,
( ~ incident(d,s)
| ~ incident(i,p)
| point_equal(i,d)
| line_equal(s,p) ),
inference(resolution,[status(thm)],[c_935,c_424]) ).
cnf(c_11514,plain,
( ~ incident(d,m)
| ~ incident(e,p)
| point_equal(e,d)
| line_equal(m,p) ),
inference(resolution,[status(thm)],[c_935,c_430]) ).
cnf(c_11528,plain,
( ~ incident(d,r)
| ~ incident(c,p)
| point_equal(c,d)
| line_equal(r,p) ),
inference(resolution,[status(thm)],[c_935,c_517]) ).
cnf(c_12422,plain,
( ~ incident(f,n)
| ~ incident(b,s)
| point_equal(b,f)
| line_equal(n,s) ),
inference(resolution,[status(thm)],[c_936,c_513]) ).
cnf(c_12768,plain,
( ~ colinear(X0_13,X1_13,X2_13,X0_14)
| ~ colinear(a,X1_13,X4_13,X2_14)
| ~ colinear(a,X2_13,X3_13,X1_14)
| ~ colinear(b,X0_13,X4_13,X4_14)
| ~ colinear(b,X2_13,X5_13,X3_14)
| ~ colinear(c,X0_13,X3_13,X6_14)
| ~ colinear(c,X1_13,X5_13,X5_14)
| colinear(X5_13,X4_13,X3_13,sK0(X5_13,X4_13,X3_13))
| line_equal(X3_14,X5_14)
| line_equal(X4_14,X2_14)
| line_equal(X6_14,X1_14) ),
inference(superposition,[status(thm)],[c_134,c_116]) ).
cnf(c_12911,plain,
( ~ incident(g,o)
| ~ line_equal(o,s)
| incident(g,s) ),
inference(instantiation,[status(thm)],[c_5658]) ).
cnf(c_12912,plain,
( ~ incident(g,n)
| ~ line_equal(n,s)
| incident(g,s) ),
inference(instantiation,[status(thm)],[c_5658]) ).
cnf(c_12915,plain,
( ~ incident(X0_13,p)
| ~ point_equal(g,X0_13)
| incident(g,p) ),
inference(instantiation,[status(thm)],[c_3952]) ).
cnf(c_12916,plain,
( ~ incident(g,X0_14)
| ~ line_equal(X0_14,p)
| incident(g,p) ),
inference(instantiation,[status(thm)],[c_3950]) ).
cnf(c_12924,plain,
( ~ incident(X0_13,q)
| ~ incident(X0_13,s)
| ~ incident(g,q)
| ~ incident(g,s)
| point_equal(g,X0_13)
| line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_1835]) ).
cnf(c_12942,plain,
( ~ incident(a,q)
| ~ incident(a,s)
| ~ incident(g,q)
| ~ incident(g,s)
| point_equal(g,a)
| line_equal(q,s) ),
inference(instantiation,[status(thm)],[c_12924]) ).
cnf(c_12944,plain,
( ~ point_equal(X0_13,g)
| point_equal(g,X0_13) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_12945,plain,
( ~ point_equal(a,g)
| point_equal(g,a) ),
inference(instantiation,[status(thm)],[c_12944]) ).
cnf(c_13413,plain,
( point_equal(b,a)
| ~ incident(a,n) ),
inference(global_subsumption_just,[status(thm)],[c_2575,c_81,c_62,c_52,c_50,c_153,c_155,c_295,c_2575]) ).
cnf(c_13414,plain,
( ~ incident(a,n)
| point_equal(b,a) ),
inference(renaming,[status(thm)],[c_13413]) ).
cnf(c_13450,plain,
( point_equal(b,a)
| ~ incident(a,p) ),
inference(global_subsumption_just,[status(thm)],[c_2577,c_81,c_60,c_54,c_50,c_153,c_157,c_268,c_2577]) ).
cnf(c_13451,plain,
( ~ incident(a,p)
| point_equal(b,a) ),
inference(renaming,[status(thm)],[c_13450]) ).
cnf(c_13488,plain,
( point_equal(c,a)
| ~ incident(a,r) ),
inference(global_subsumption_just,[status(thm)],[c_2579,c_81,c_60,c_56,c_50,c_145,c_159,c_269,c_2579]) ).
cnf(c_13489,plain,
( ~ incident(a,r)
| point_equal(c,a) ),
inference(renaming,[status(thm)],[c_13488]) ).
cnf(c_13613,plain,
( ~ incident(d,s)
| ~ incident(i,r)
| point_equal(i,d)
| line_equal(s,r) ),
inference(resolution,[status(thm)],[c_937,c_424]) ).
cnf(c_13627,plain,
( ~ incident(d,p)
| ~ incident(b,r)
| point_equal(b,d)
| line_equal(p,r) ),
inference(resolution,[status(thm)],[c_937,c_515]) ).
cnf(c_13628,plain,
( ~ incident(d,s)
| ~ incident(a,r)
| point_equal(a,d)
| line_equal(s,r) ),
inference(resolution,[status(thm)],[c_937,c_516]) ).
cnf(c_14306,plain,
( ~ incident(d,r)
| ~ incident(i,m)
| point_equal(i,d)
| line_equal(r,m) ),
inference(resolution,[status(thm)],[c_938,c_425]) ).
cnf(c_14313,plain,
( ~ incident(d,s)
| ~ incident(f,m)
| point_equal(f,d)
| line_equal(s,m) ),
inference(resolution,[status(thm)],[c_938,c_436]) ).
cnf(c_14956,plain,
incident(g,n),
inference(superposition,[status(thm)],[c_132,c_125]) ).
cnf(c_14957,plain,
incident(h,q),
inference(superposition,[status(thm)],[c_131,c_125]) ).
cnf(c_14959,plain,
incident(i,s),
inference(superposition,[status(thm)],[c_129,c_125]) ).
cnf(c_14960,plain,
incident(i,r),
inference(superposition,[status(thm)],[c_128,c_125]) ).
cnf(c_14999,plain,
( ~ incident(d,o)
| ~ incident(c,r)
| point_equal(d,c)
| line_equal(r,o) ),
inference(resolution,[status(thm)],[c_939,c_437]) ).
cnf(c_15097,plain,
( ~ point_equal(g,X0_13)
| point_equal(X0_13,g) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_15098,plain,
( ~ point_equal(g,a)
| point_equal(a,g) ),
inference(instantiation,[status(thm)],[c_15097]) ).
cnf(c_15223,plain,
( ~ incident(i,sK1(h,i))
| ~ point_equal(g,i)
| incident(g,sK1(h,i)) ),
inference(instantiation,[status(thm)],[c_5611]) ).
cnf(c_15224,plain,
( ~ point_equal(h,h)
| ~ point_equal(i,i)
| incident(i,sK1(h,i)) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_15227,plain,
( ~ incident(h,sK1(h,i))
| ~ point_equal(g,h)
| incident(g,sK1(h,i)) ),
inference(instantiation,[status(thm)],[c_5611]) ).
cnf(c_15514,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(h,X0_14)
| point_equal(h,X0_13)
| line_equal(X0_14,q) ),
inference(superposition,[status(thm)],[c_14957,c_115]) ).
cnf(c_16056,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,s)
| ~ incident(i,X0_14)
| point_equal(i,X0_13)
| line_equal(X0_14,s) ),
inference(superposition,[status(thm)],[c_14959,c_115]) ).
cnf(c_16057,plain,
point_equal(i,i),
inference(superposition,[status(thm)],[c_14959,c_124]) ).
cnf(c_16060,plain,
( ~ line_equal(s,X0_14)
| incident(i,X0_14) ),
inference(superposition,[status(thm)],[c_14959,c_117]) ).
cnf(c_16157,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,r)
| ~ incident(i,X0_14)
| point_equal(i,X0_13)
| line_equal(X0_14,r) ),
inference(superposition,[status(thm)],[c_14960,c_115]) ).
cnf(c_16612,plain,
( ~ point_equal(X0_13,X0_13)
| incident(X0_13,sK1(X0_13,i)) ),
inference(superposition,[status(thm)],[c_16057,c_113]) ).
cnf(c_16674,plain,
( ~ incident(a,o)
| ~ incident(g,q)
| point_equal(g,a)
| line_equal(o,q) ),
inference(resolution,[status(thm)],[c_943,c_420]) ).
cnf(c_16678,plain,
( ~ incident(a,s)
| ~ incident(i,q)
| point_equal(i,a)
| line_equal(s,q) ),
inference(resolution,[status(thm)],[c_943,c_424]) ).
cnf(c_16679,plain,
( ~ incident(a,r)
| ~ incident(i,q)
| point_equal(i,a)
| line_equal(r,q) ),
inference(resolution,[status(thm)],[c_943,c_425]) ).
cnf(c_16682,plain,
( ~ incident(e,q)
| ~ incident(a,o)
| point_equal(e,a)
| line_equal(o,q) ),
inference(resolution,[status(thm)],[c_943,c_432]) ).
cnf(c_16846,plain,
incident(f,n),
inference(superposition,[status(thm)],[c_132,c_126]) ).
cnf(c_16847,plain,
incident(e,q),
inference(superposition,[status(thm)],[c_131,c_126]) ).
cnf(c_16849,plain,
incident(f,s),
inference(superposition,[status(thm)],[c_129,c_126]) ).
cnf(c_16850,plain,
incident(d,r),
inference(superposition,[status(thm)],[c_128,c_126]) ).
cnf(c_17996,plain,
( ~ incident(i,r)
| ~ line_equal(r,p)
| incident(i,p) ),
inference(instantiation,[status(thm)],[c_8781]) ).
cnf(c_18010,plain,
( ~ incident(f,n)
| ~ line_equal(n,p)
| incident(f,p) ),
inference(instantiation,[status(thm)],[c_8786]) ).
cnf(c_18043,plain,
( ~ point_equal(X0_13,d)
| ~ incident(d,p)
| incident(X0_13,p) ),
inference(instantiation,[status(thm)],[c_3952]) ).
cnf(c_18064,plain,
( ~ incident(e,o)
| ~ line_equal(o,p)
| incident(e,p) ),
inference(instantiation,[status(thm)],[c_8796]) ).
cnf(c_18690,plain,
( ~ incident(f,p)
| ~ incident(b,n)
| point_equal(f,b)
| line_equal(n,p) ),
inference(resolution,[status(thm)],[c_944,c_433]) ).
cnf(c_19103,plain,
( ~ incident(d,p)
| ~ point_equal(f,d)
| incident(f,p) ),
inference(instantiation,[status(thm)],[c_10260]) ).
cnf(c_19179,plain,
( ~ incident(a,n)
| ~ incident(g,s)
| point_equal(g,a)
| line_equal(n,s) ),
inference(resolution,[status(thm)],[c_946,c_421]) ).
cnf(c_19186,plain,
( ~ incident(e,s)
| ~ incident(a,o)
| point_equal(e,a)
| line_equal(o,s) ),
inference(resolution,[status(thm)],[c_946,c_432]) ).
cnf(c_19187,plain,
( ~ incident(f,s)
| ~ incident(a,n)
| point_equal(f,a)
| line_equal(n,s) ),
inference(resolution,[status(thm)],[c_946,c_433]) ).
cnf(c_19188,plain,
( ~ incident(e,s)
| ~ incident(a,q)
| point_equal(e,a)
| line_equal(q,s) ),
inference(resolution,[status(thm)],[c_946,c_434]) ).
cnf(c_19361,plain,
incident(d,m),
inference(superposition,[status(thm)],[c_135,c_127]) ).
cnf(c_19362,plain,
incident(a,l),
inference(superposition,[status(thm)],[c_134,c_127]) ).
cnf(c_19365,plain,
incident(a,q),
inference(superposition,[status(thm)],[c_131,c_127]) ).
cnf(c_19366,plain,
incident(b,p),
inference(superposition,[status(thm)],[c_130,c_127]) ).
cnf(c_19368,plain,
incident(c,r),
inference(superposition,[status(thm)],[c_128,c_127]) ).
cnf(c_19453,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,n)
| ~ incident(f,X0_14)
| point_equal(f,X0_13)
| line_equal(X0_14,n) ),
inference(superposition,[status(thm)],[c_16846,c_115]) ).
cnf(c_19468,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(e,X0_14)
| point_equal(e,X0_13)
| line_equal(X0_14,q) ),
inference(superposition,[status(thm)],[c_16847,c_115]) ).
cnf(c_19509,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,s)
| ~ incident(f,X0_14)
| point_equal(f,X0_13)
| line_equal(X0_14,s) ),
inference(superposition,[status(thm)],[c_16849,c_115]) ).
cnf(c_19668,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,r)
| ~ incident(d,X0_14)
| point_equal(d,X0_13)
| line_equal(X0_14,r) ),
inference(superposition,[status(thm)],[c_16850,c_115]) ).
cnf(c_19694,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(d,X0_14)
| point_equal(d,X0_13)
| line_equal(X0_14,m) ),
inference(superposition,[status(thm)],[c_19361,c_115]) ).
cnf(c_19720,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,l)
| ~ incident(a,X0_14)
| point_equal(a,X0_13)
| line_equal(X0_14,l) ),
inference(superposition,[status(thm)],[c_19362,c_115]) ).
cnf(c_19721,plain,
point_equal(a,a),
inference(superposition,[status(thm)],[c_19362,c_124]) ).
cnf(c_19834,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,q)
| ~ incident(a,X0_14)
| point_equal(a,X0_13)
| line_equal(X0_14,q) ),
inference(superposition,[status(thm)],[c_19365,c_115]) ).
cnf(c_19849,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,p)
| ~ incident(b,X0_14)
| point_equal(b,X0_13)
| line_equal(X0_14,p) ),
inference(superposition,[status(thm)],[c_19366,c_115]) ).
cnf(c_20027,plain,
( ~ point_equal(X0_13,X0_13)
| incident(X0_13,sK1(a,X0_13)) ),
inference(superposition,[status(thm)],[c_19721,c_114]) ).
cnf(c_20219,plain,
( ~ colinear(a,e,X0_13,X0_14)
| ~ colinear(a,f,X1_13,X1_14)
| ~ colinear(b,d,X0_13,X2_14)
| ~ colinear(b,f,X2_13,X3_14)
| ~ colinear(c,d,X1_13,X4_14)
| ~ colinear(c,e,X2_13,X5_14)
| colinear(X2_13,X0_13,X1_13,sK0(X2_13,X0_13,X1_13))
| line_equal(X2_14,X0_14)
| line_equal(X3_14,X5_14)
| line_equal(X4_14,X1_14) ),
inference(superposition,[status(thm)],[c_135,c_12768]) ).
cnf(c_20493,plain,
~ incident(h,l),
inference(global_subsumption_just,[status(thm)],[c_3557,c_81,c_61,c_58,c_55,c_53,c_52,c_50,c_49,c_144,c_147,c_155,c_156,c_161,c_164,c_166,c_240,c_283,c_744,c_748,c_923,c_2561,c_3695,c_6162,c_7327,c_12422,c_12912,c_13451]) ).
cnf(c_20510,plain,
( ~ incident(e,o)
| ~ point_equal(f,e)
| incident(f,o) ),
inference(instantiation,[status(thm)],[c_8964]) ).
cnf(c_20530,plain,
( ~ incident(e,m)
| ~ incident(e,n)
| ~ incident(f,m)
| ~ incident(f,n)
| point_equal(e,f)
| line_equal(n,m) ),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_20533,plain,
( point_equal(b,c)
| ~ incident(c,n) ),
inference(global_subsumption_just,[status(thm)],[c_3571,c_81,c_62,c_52,c_50,c_153,c_155,c_295,c_3571]) ).
cnf(c_20534,plain,
( ~ incident(c,n)
| point_equal(b,c) ),
inference(renaming,[status(thm)],[c_20533]) ).
cnf(c_20603,plain,
( ~ incident(e,q)
| ~ line_equal(q,s)
| incident(e,s) ),
inference(instantiation,[status(thm)],[c_1371]) ).
cnf(c_20658,plain,
( point_equal(a,c)
| ~ incident(c,s) ),
inference(global_subsumption_just,[status(thm)],[c_3574,c_81,c_62,c_55,c_50,c_158,c_161,c_296,c_3574]) ).
cnf(c_20659,plain,
( ~ incident(c,s)
| point_equal(a,c) ),
inference(renaming,[status(thm)],[c_20658]) ).
cnf(c_21958,plain,
( ~ incident(a,o)
| line_equal(q,o) ),
inference(global_subsumption_just,[status(thm)],[c_3988,c_81,c_57,c_53,c_49,c_152,c_156,c_308,c_10426]) ).
cnf(c_24432,plain,
( point_equal(a,g)
| ~ incident(g,q)
| ~ incident(a,n) ),
inference(global_subsumption_just,[status(thm)],[c_4814,c_81,c_62,c_55,c_53,c_52,c_50,c_147,c_148,c_150,c_158,c_161,c_164,c_166,c_179,c_199,c_967,c_12912,c_12942,c_15098,c_19187]) ).
cnf(c_24433,plain,
( ~ incident(a,n)
| ~ incident(g,q)
| point_equal(a,g) ),
inference(renaming,[status(thm)],[c_24432]) ).
cnf(c_26469,plain,
( ~ incident(b,p)
| ~ line_equal(p,m)
| incident(b,m) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_26710,plain,
( ~ incident(a,q)
| ~ line_equal(q,m)
| incident(a,m) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_27464,plain,
( ~ incident(e,s)
| line_equal(q,s) ),
inference(global_subsumption_just,[status(thm)],[c_7158,c_81,c_61,c_53,c_50,c_161,c_164,c_197,c_19188]) ).
cnf(c_27727,plain,
( ~ incident(c,s)
| ~ incident(i,o) ),
inference(global_subsumption_just,[status(thm)],[c_7163,c_81,c_57,c_53,c_49,c_148,c_152,c_156,c_308,c_3443,c_6668,c_6798,c_10426,c_20659]) ).
cnf(c_29070,plain,
( ~ point_equal(f,d)
| point_equal(d,f) ),
inference(instantiation,[status(thm)],[c_1192]) ).
cnf(c_29075,plain,
( ~ incident(d,r)
| ~ point_equal(f,d)
| incident(f,r) ),
inference(instantiation,[status(thm)],[c_8927]) ).
cnf(c_29094,plain,
( ~ incident(d,n)
| ~ point_equal(e,d)
| incident(e,n) ),
inference(instantiation,[status(thm)],[c_10277]) ).
cnf(c_29786,plain,
( point_equal(a,i)
| ~ incident(i,q)
| ~ incident(a,r) ),
inference(global_subsumption_just,[status(thm)],[c_7989,c_81,c_61,c_60,c_56,c_55,c_53,c_51,c_50,c_145,c_146,c_148,c_150,c_156,c_159,c_161,c_164,c_166,c_167,c_197,c_269,c_744,c_967,c_1276,c_4073,c_6798,c_9193,c_12911,c_19186,c_20603]) ).
cnf(c_29787,plain,
( ~ incident(a,r)
| ~ incident(i,q)
| point_equal(a,i) ),
inference(renaming,[status(thm)],[c_29786]) ).
cnf(c_30691,plain,
( ~ incident(b,p)
| ~ point_equal(g,b)
| incident(g,p) ),
inference(instantiation,[status(thm)],[c_12915]) ).
cnf(c_30727,plain,
( ~ incident(g,n)
| ~ line_equal(n,p)
| incident(g,p) ),
inference(instantiation,[status(thm)],[c_12916]) ).
cnf(c_31190,plain,
( point_equal(g,b)
| ~ incident(g,l) ),
inference(global_subsumption_just,[status(thm)],[c_8813,c_81,c_62,c_52,c_155,c_163,c_295,c_8814]) ).
cnf(c_31191,plain,
( ~ incident(g,l)
| point_equal(g,b) ),
inference(renaming,[status(thm)],[c_31190]) ).
cnf(c_31435,plain,
( point_equal(c,b)
| ~ incident(b,o) ),
inference(global_subsumption_just,[status(thm)],[c_8828,c_81,c_61,c_51,c_50,c_145,c_154,c_282,c_8828]) ).
cnf(c_31436,plain,
( ~ incident(b,o)
| point_equal(c,b) ),
inference(renaming,[status(thm)],[c_31435]) ).
cnf(c_31466,plain,
( point_equal(a,b)
| ~ incident(b,q) ),
inference(global_subsumption_just,[status(thm)],[c_8830,c_81,c_61,c_53,c_50,c_156,c_161,c_283,c_8830]) ).
cnf(c_31467,plain,
( ~ incident(b,q)
| point_equal(a,b) ),
inference(renaming,[status(thm)],[c_31466]) ).
cnf(c_32730,plain,
( ~ incident(e,s)
| ~ incident(a,o) ),
inference(global_subsumption_just,[status(thm)],[c_10428,c_81,c_61,c_53,c_51,c_50,c_146,c_148,c_161,c_197,c_744,c_967,c_12911,c_19186,c_27464]) ).
cnf(c_32908,plain,
( ~ incident(f,o)
| point_equal(g,f)
| line_equal(o,n) ),
inference(global_subsumption_just,[status(thm)],[c_10736,c_52,c_147,c_10736]) ).
cnf(c_33342,plain,
( point_equal(e,f)
| ~ incident(e,n) ),
inference(global_subsumption_just,[status(thm)],[c_10742,c_81,c_58,c_52,c_49,c_144,c_152,c_155,c_163,c_6819,c_20530]) ).
cnf(c_33343,plain,
( ~ incident(e,n)
| point_equal(e,f) ),
inference(renaming,[status(thm)],[c_33342]) ).
cnf(c_34244,plain,
( ~ incident(e,s)
| line_equal(s,q) ),
inference(global_subsumption_just,[status(thm)],[c_11083,c_81,c_57,c_53,c_49,c_152,c_164,c_308,c_11098]) ).
cnf(c_34327,plain,
( point_equal(d,e)
| ~ incident(d,q) ),
inference(global_subsumption_just,[status(thm)],[c_11092,c_81,c_57,c_53,c_49,c_152,c_156,c_160,c_164,c_7490,c_26710]) ).
cnf(c_34328,plain,
( ~ incident(d,q)
| point_equal(d,e) ),
inference(renaming,[status(thm)],[c_34327]) ).
cnf(c_34988,plain,
( ~ incident(d,s)
| ~ incident(i,p) ),
inference(global_subsumption_just,[status(thm)],[c_11512,c_81,c_62,c_57,c_55,c_54,c_52,c_50,c_49,c_144,c_147,c_149,c_153,c_157,c_163,c_166,c_6212,c_8783,c_11359,c_14313,c_18690,c_19103,c_30727]) ).
cnf(c_35144,plain,
( point_equal(e,d)
| ~ incident(e,p) ),
inference(global_subsumption_just,[status(thm)],[c_11514,c_81,c_58,c_54,c_49,c_152,c_157,c_160,c_165,c_7519,c_26469]) ).
cnf(c_35145,plain,
( ~ incident(e,p)
| point_equal(e,d) ),
inference(renaming,[status(thm)],[c_35144]) ).
cnf(c_36474,plain,
( ~ incident(h,sK1(g,i))
| ~ incident(i,sK1(g,i))
| ~ point_equal(g,g) ),
inference(superposition,[status(thm)],[c_16612,c_104]) ).
cnf(c_36494,plain,
( ~ incident(i,sK1(g,i))
| ~ incident(h,sK1(g,i)) ),
inference(global_subsumption_just,[status(thm)],[c_36474,c_493,c_36474]) ).
cnf(c_36495,plain,
( ~ incident(h,sK1(g,i))
| ~ incident(i,sK1(g,i)) ),
inference(renaming,[status(thm)],[c_36494]) ).
cnf(c_36695,plain,
( ~ incident(d,s)
| point_equal(i,d)
| line_equal(s,r) ),
inference(global_subsumption_just,[status(thm)],[c_13613,c_56,c_151,c_13613]) ).
cnf(c_37513,plain,
( ~ incident(d,s)
| ~ incident(a,r) ),
inference(global_subsumption_just,[status(thm)],[c_13628,c_81,c_62,c_60,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49,c_144,c_145,c_147,c_148,c_153,c_154,c_155,c_157,c_158,c_159,c_160,c_161,c_163,c_166,c_167,c_269,c_495,c_497,c_1355,c_2947,c_3115,c_4073,c_5932,c_5955,c_6212,c_6482,c_6668,c_6798,c_11359,c_14313,c_15227,c_18064,c_18690,c_19103,c_21958,c_29094,c_30727,c_32730,c_33343,c_35145]) ).
cnf(c_39222,plain,
( ~ incident(d,o)
| point_equal(d,c)
| line_equal(r,o) ),
inference(global_subsumption_just,[status(thm)],[c_14999,c_56,c_167,c_14999]) ).
cnf(c_40095,plain,
( ~ incident(a,o)
| line_equal(o,q) ),
inference(global_subsumption_just,[status(thm)],[c_16674,c_81,c_61,c_53,c_50,c_156,c_161,c_197,c_16682]) ).
cnf(c_41076,plain,
( point_equal(i,a)
| ~ incident(i,q)
| ~ incident(a,r) ),
inference(global_subsumption_just,[status(thm)],[c_16679,c_373,c_29787]) ).
cnf(c_41077,plain,
( ~ incident(a,r)
| ~ incident(i,q)
| point_equal(i,a) ),
inference(renaming,[status(thm)],[c_41076]) ).
cnf(c_41326,plain,
( ~ incident(c,r)
| ~ line_equal(r,m)
| incident(c,m) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_42044,plain,
( ~ incident(a,n)
| line_equal(n,s) ),
inference(global_subsumption_just,[status(thm)],[c_19179,c_81,c_62,c_55,c_50,c_158,c_161,c_199,c_19187]) ).
cnf(c_47511,plain,
( ~ colinear(a,e,X0_13,X0_14)
| ~ colinear(a,f,X1_13,X1_14)
| ~ colinear(b,d,X0_13,X2_14)
| ~ colinear(c,d,X1_13,X3_14)
| ~ colinear(c,e,g,X4_14)
| colinear(g,X0_13,X1_13,sK0(g,X0_13,X1_13))
| line_equal(X2_14,X0_14)
| line_equal(X3_14,X1_14)
| line_equal(n,X4_14) ),
inference(superposition,[status(thm)],[c_132,c_20219]) ).
cnf(c_48141,plain,
( ~ incident(c,o)
| ~ line_equal(o,m)
| incident(c,m) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_53098,plain,
( ~ incident(g,q)
| ~ incident(h,q)
| ~ incident(i,q) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_53120,plain,
( ~ incident(i,p)
| ~ point_equal(f,i)
| incident(f,p) ),
inference(instantiation,[status(thm)],[c_10260]) ).
cnf(c_53136,plain,
( ~ incident(d,p)
| ~ point_equal(i,d)
| incident(i,p) ),
inference(instantiation,[status(thm)],[c_18043]) ).
cnf(c_53642,plain,
( ~ incident(f,s)
| ~ line_equal(s,q)
| incident(f,q) ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_53644,plain,
( ~ incident(i,s)
| ~ line_equal(s,q)
| incident(i,q) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_58366,plain,
( ~ point_equal(b,X0_13)
| point_equal(X0_13,b) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_58406,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(i,X0_14)
| incident(i,X1_14) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_58454,plain,
( ~ point_equal(X0_13,X0_13)
| ~ point_equal(i,i)
| incident(i,sK1(X0_13,i)) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_58566,plain,
( ~ point_equal(g,f)
| incident(g,s) ),
inference(instantiation,[status(thm)],[c_6359]) ).
cnf(c_58569,plain,
( ~ incident(g,X0_14)
| ~ line_equal(X0_14,q)
| incident(g,q) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_58604,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X1_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(X1_13,m)
| point_equal(X0_13,X1_13)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_58648,plain,
( ~ point_equal(X0_13,c)
| point_equal(c,X0_13) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_58830,plain,
( ~ incident(X0_13,sK1(X1_13,i))
| ~ point_equal(h,X0_13)
| incident(h,sK1(X1_13,i)) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_58964,plain,
( ~ line_equal(s,r)
| incident(a,r) ),
inference(instantiation,[status(thm)],[c_7368]) ).
cnf(c_58965,plain,
( ~ line_equal(q,r)
| incident(a,r) ),
inference(instantiation,[status(thm)],[c_6964]) ).
cnf(c_59046,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,o)
| incident(X0_13,o) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_59053,plain,
( ~ line_equal(s,o)
| incident(a,o) ),
inference(instantiation,[status(thm)],[c_7368]) ).
cnf(c_59081,plain,
( ~ line_equal(o,n)
| incident(c,n) ),
inference(instantiation,[status(thm)],[c_6795]) ).
cnf(c_59125,plain,
( ~ incident(f,r)
| ~ incident(c,s)
| point_equal(f,c)
| line_equal(r,s) ),
inference(superposition,[status(thm)],[c_19368,c_19509]) ).
cnf(c_59158,plain,
~ incident(f,r),
inference(global_subsumption_just,[status(thm)],[c_59125,c_81,c_59,c_56,c_55,c_54,c_49,c_157,c_158,c_160,c_167,c_3309,c_5956,c_34988,c_36695,c_37513,c_41326,c_53136,c_58964]) ).
cnf(c_59783,plain,
( ~ point_equal(X0_13,g)
| point_equal(g,X0_13) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_60398,plain,
( ~ line_equal(r,s)
| incident(c,s) ),
inference(instantiation,[status(thm)],[c_7442]) ).
cnf(c_60739,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,m)
| ~ incident(d,X0_14)
| ~ incident(d,m)
| point_equal(X0_13,d)
| line_equal(X0_14,m) ),
inference(instantiation,[status(thm)],[c_58604]) ).
cnf(c_60986,plain,
( ~ line_equal(p,q)
| incident(b,q) ),
inference(instantiation,[status(thm)],[c_7077]) ).
cnf(c_63032,plain,
( ~ incident(g,s)
| ~ line_equal(s,q)
| incident(g,q) ),
inference(instantiation,[status(thm)],[c_58569]) ).
cnf(c_63630,plain,
( ~ point_equal(b,c)
| incident(b,r) ),
inference(instantiation,[status(thm)],[c_7441]) ).
cnf(c_63664,plain,
( ~ point_equal(c,b)
| incident(c,p) ),
inference(instantiation,[status(thm)],[c_7076]) ).
cnf(c_63890,plain,
( ~ incident(g,o)
| ~ line_equal(o,q)
| incident(g,q) ),
inference(instantiation,[status(thm)],[c_58569]) ).
cnf(c_63941,plain,
( ~ point_equal(i,d)
| incident(i,p) ),
inference(instantiation,[status(thm)],[c_6254]) ).
cnf(c_63949,plain,
( ~ point_equal(i,g)
| point_equal(g,i) ),
inference(instantiation,[status(thm)],[c_59783]) ).
cnf(c_64093,plain,
( ~ point_equal(d,c)
| point_equal(c,d) ),
inference(instantiation,[status(thm)],[c_58648]) ).
cnf(c_64098,plain,
( ~ point_equal(c,d)
| incident(c,m) ),
inference(instantiation,[status(thm)],[c_6686]) ).
cnf(c_64171,plain,
( ~ incident(i,X0_14)
| ~ line_equal(X0_14,m)
| incident(i,m) ),
inference(instantiation,[status(thm)],[c_58406]) ).
cnf(c_64444,plain,
( ~ incident(i,sK1(X0_13,i))
| ~ point_equal(h,i)
| incident(h,sK1(X0_13,i)) ),
inference(instantiation,[status(thm)],[c_58830]) ).
cnf(c_66049,plain,
( ~ incident(X0_13,o)
| ~ point_equal(b,X0_13)
| incident(b,o) ),
inference(instantiation,[status(thm)],[c_59046]) ).
cnf(c_66662,plain,
( ~ incident(d,r)
| ~ incident(i,m)
| point_equal(d,i)
| line_equal(r,m) ),
inference(superposition,[status(thm)],[c_14960,c_19694]) ).
cnf(c_66743,plain,
~ incident(i,m),
inference(global_subsumption_just,[status(thm)],[c_66662,c_81,c_59,c_58,c_57,c_56,c_55,c_54,c_49,c_157,c_158,c_159,c_160,c_165,c_166,c_167,c_3307,c_5956,c_9619,c_11359,c_14306,c_26469,c_34988,c_36695,c_37513,c_41326,c_53120,c_53136,c_58964,c_63941]) ).
cnf(c_67673,plain,
( ~ incident(d,X0_14)
| ~ incident(f,X0_14)
| ~ incident(d,m)
| ~ incident(f,m)
| line_equal(X0_14,m)
| point_equal(f,d) ),
inference(instantiation,[status(thm)],[c_60739]) ).
cnf(c_68998,plain,
( ~ point_equal(i,c)
| incident(i,o) ),
inference(instantiation,[status(thm)],[c_6794]) ).
cnf(c_69506,plain,
( ~ incident(a,r)
| ~ incident(i,l)
| point_equal(a,i)
| line_equal(r,l) ),
inference(superposition,[status(thm)],[c_14960,c_19720]) ).
cnf(c_69593,plain,
~ incident(i,l),
inference(global_subsumption_just,[status(thm)],[c_69506,c_81,c_62,c_60,c_56,c_55,c_50,c_158,c_159,c_161,c_166,c_167,c_269,c_296,c_894,c_927,c_3560,c_3783,c_7331,c_13489,c_27727,c_68998]) ).
cnf(c_71527,plain,
( ~ incident(i,sK1(g,i))
| ~ point_equal(h,i)
| incident(h,sK1(g,i)) ),
inference(instantiation,[status(thm)],[c_64444]) ).
cnf(c_72517,plain,
( ~ incident(g,o)
| ~ point_equal(b,g)
| incident(b,o) ),
inference(instantiation,[status(thm)],[c_66049]) ).
cnf(c_78605,plain,
( ~ incident(a,r)
| ~ incident(i,q)
| point_equal(a,i)
| line_equal(r,q) ),
inference(superposition,[status(thm)],[c_14960,c_19834]) ).
cnf(c_78693,plain,
( ~ incident(a,r)
| ~ incident(i,q) ),
inference(global_subsumption_just,[status(thm)],[c_78605,c_81,c_62,c_60,c_56,c_55,c_50,c_158,c_159,c_161,c_166,c_167,c_201,c_269,c_296,c_894,c_927,c_3560,c_3783,c_7331,c_13489,c_27727,c_41077,c_68998]) ).
cnf(c_79729,plain,
( ~ point_equal(g,g)
| ~ point_equal(i,i)
| incident(i,sK1(g,i)) ),
inference(instantiation,[status(thm)],[c_58454]) ).
cnf(c_81250,plain,
( ~ incident(b,n)
| ~ incident(g,p)
| point_equal(b,g)
| line_equal(n,p) ),
inference(superposition,[status(thm)],[c_14956,c_19849]) ).
cnf(c_81352,plain,
~ incident(g,p),
inference(global_subsumption_just,[status(thm)],[c_81250,c_81,c_59,c_58,c_56,c_54,c_52,c_51,c_49,c_146,c_149,c_151,c_155,c_159,c_160,c_163,c_165,c_8783,c_9561,c_11528,c_17996,c_18010,c_26469,c_29075,c_31436,c_59158,c_63664,c_64098,c_72517,c_81250]) ).
cnf(c_84364,plain,
( ~ incident(X0_13,sK1(a,h))
| ~ incident(X0_13,q)
| ~ point_equal(h,h)
| line_equal(sK1(a,h),q)
| point_equal(h,X0_13) ),
inference(superposition,[status(thm)],[c_20027,c_15514]) ).
cnf(c_84365,plain,
( ~ incident(X0_13,sK1(a,i))
| ~ incident(X0_13,r)
| ~ point_equal(i,i)
| line_equal(sK1(a,i),r)
| point_equal(i,X0_13) ),
inference(superposition,[status(thm)],[c_20027,c_16157]) ).
cnf(c_84366,plain,
( ~ incident(X0_13,sK1(a,i))
| ~ incident(X0_13,s)
| ~ point_equal(i,i)
| line_equal(sK1(a,i),s)
| point_equal(i,X0_13) ),
inference(superposition,[status(thm)],[c_20027,c_16056]) ).
cnf(c_84505,plain,
line_equal(sK1(a,i),s),
inference(global_subsumption_just,[status(thm)],[c_84366,c_55,c_50,c_137,c_161,c_166,c_201,c_208,c_373,c_497,c_7205,c_69593]) ).
cnf(c_84507,plain,
( ~ incident(a,sK1(a,i))
| ~ incident(a,r)
| ~ point_equal(i,i)
| line_equal(sK1(a,i),r)
| point_equal(i,a) ),
inference(instantiation,[status(thm)],[c_84365]) ).
cnf(c_84516,plain,
line_equal(sK1(a,h),q),
inference(global_subsumption_just,[status(thm)],[c_84364,c_53,c_50,c_137,c_161,c_164,c_495,c_963,c_966,c_971,c_5245,c_20493]) ).
cnf(c_86294,plain,
line_equal(s,sK1(a,i)),
inference(superposition,[status(thm)],[c_84505,c_120]) ).
cnf(c_86295,plain,
( ~ line_equal(X0_14,sK1(a,i))
| line_equal(X0_14,s) ),
inference(superposition,[status(thm)],[c_84505,c_119]) ).
cnf(c_86324,plain,
line_equal(q,sK1(a,h)),
inference(superposition,[status(thm)],[c_84516,c_120]) ).
cnf(c_86380,plain,
incident(i,sK1(a,i)),
inference(superposition,[status(thm)],[c_86294,c_16060]) ).
cnf(c_86381,plain,
incident(a,sK1(a,i)),
inference(superposition,[status(thm)],[c_86294,c_7368]) ).
cnf(c_86487,plain,
incident(a,sK1(a,h)),
inference(superposition,[status(thm)],[c_86324,c_6964]) ).
cnf(c_86525,plain,
( ~ incident(e,sK1(a,i))
| ~ incident(i,q)
| line_equal(sK1(a,i),q)
| point_equal(e,i) ),
inference(superposition,[status(thm)],[c_86380,c_19468]) ).
cnf(c_86558,plain,
~ incident(i,q),
inference(global_subsumption_just,[status(thm)],[c_86525,c_81,c_62,c_60,c_58,c_57,c_56,c_55,c_54,c_53,c_51,c_50,c_49,c_148,c_149,c_154,c_157,c_158,c_159,c_160,c_161,c_164,c_166,c_167,c_201,c_269,c_296,c_493,c_497,c_894,c_927,c_980,c_3560,c_3783,c_6164,c_7331,c_7974,c_9599,c_13489,c_13627,c_16678,c_20510,c_20534,c_26710,c_27727,c_32908,c_36495,c_53098,c_53642,c_58566,c_58965,c_59081,c_63032,c_63630,c_68998,c_71527,c_78693,c_79729]) ).
cnf(c_87127,plain,
( ~ incident(d,sK1(a,i))
| ~ incident(a,r)
| line_equal(sK1(a,i),r)
| point_equal(d,a) ),
inference(superposition,[status(thm)],[c_86381,c_19668]) ).
cnf(c_87176,plain,
( line_equal(sK1(a,i),r)
| ~ incident(a,r) ),
inference(global_subsumption_just,[status(thm)],[c_87127,c_50,c_137,c_161,c_201,c_497,c_830,c_69593,c_84507]) ).
cnf(c_87177,plain,
( ~ incident(a,r)
| line_equal(sK1(a,i),r) ),
inference(renaming,[status(thm)],[c_87176]) ).
cnf(c_87219,plain,
( ~ point_equal(h,b)
| incident(h,l) ),
inference(instantiation,[status(thm)],[c_5893]) ).
cnf(c_87306,plain,
( ~ point_equal(d,e)
| incident(d,o) ),
inference(instantiation,[status(thm)],[c_6011]) ).
cnf(c_87567,plain,
( ~ line_equal(r,o)
| incident(i,o) ),
inference(instantiation,[status(thm)],[c_3779]) ).
cnf(c_87577,plain,
( ~ line_equal(p,q)
| incident(d,q) ),
inference(instantiation,[status(thm)],[c_6255]) ).
cnf(c_88073,plain,
( ~ point_equal(b,h)
| point_equal(h,b) ),
inference(instantiation,[status(thm)],[c_58366]) ).
cnf(c_88335,plain,
( ~ incident(f,sK1(a,h))
| ~ incident(a,n)
| line_equal(sK1(a,h),n)
| point_equal(f,a) ),
inference(superposition,[status(thm)],[c_86487,c_19453]) ).
cnf(c_88363,plain,
~ incident(a,n),
inference(global_subsumption_just,[status(thm)],[c_88335,c_81,c_59,c_54,c_53,c_52,c_51,c_50,c_146,c_147,c_149,c_161,c_164,c_165,c_495,c_497,c_2947,c_3115,c_3975,c_5194,c_7024,c_7044,c_12912,c_12945,c_13414,c_15223,c_15224,c_20493,c_24433,c_30691,c_31191,c_34328,c_39222,c_40095,c_42044,c_59053,c_63890,c_63949,c_64093,c_64098,c_81352,c_87219,c_87306,c_87567,c_87577,c_88073]) ).
cnf(c_92103,plain,
( ~ incident(a,r)
| line_equal(r,sK1(a,i)) ),
inference(superposition,[status(thm)],[c_87177,c_120]) ).
cnf(c_92104,plain,
( ~ line_equal(X0_14,sK1(a,i))
| ~ incident(a,r)
| line_equal(X0_14,r) ),
inference(superposition,[status(thm)],[c_87177,c_119]) ).
cnf(c_92108,plain,
( ~ incident(a,r)
| ~ line_equal(X0_14,sK1(a,i)) ),
inference(global_subsumption_just,[status(thm)],[c_92104,c_55,c_54,c_49,c_144,c_157,c_158,c_160,c_1199,c_1265,c_3730,c_5956,c_6360,c_6437,c_29070,c_34988,c_36695,c_37513,c_53136,c_58964,c_64171,c_66743,c_67673,c_86295,c_92104]) ).
cnf(c_92109,plain,
( ~ line_equal(X0_14,sK1(a,i))
| ~ incident(a,r) ),
inference(renaming,[status(thm)],[c_92108]) ).
cnf(c_92797,plain,
( ~ line_equal(X0_14,r)
| ~ incident(a,r)
| line_equal(X0_14,sK1(a,i)) ),
inference(superposition,[status(thm)],[c_92103,c_119]) ).
cnf(c_92808,plain,
( ~ incident(a,r)
| ~ line_equal(X0_14,r) ),
inference(global_subsumption_just,[status(thm)],[c_92797,c_92109,c_92797]) ).
cnf(c_92809,plain,
( ~ line_equal(X0_14,r)
| ~ incident(a,r) ),
inference(renaming,[status(thm)],[c_92808]) ).
cnf(c_92819,plain,
~ incident(a,r),
inference(backward_subsumption_resolution,[status(thm)],[c_87177,c_92809]) ).
cnf(c_101927,plain,
( ~ colinear(a,f,X0_13,X0_14)
| ~ colinear(c,d,X0_13,X1_14)
| ~ colinear(a,e,h,X2_14)
| ~ colinear(c,e,g,X3_14)
| colinear(g,h,X0_13,sK0(g,h,X0_13))
| line_equal(X1_14,X0_14)
| line_equal(n,X3_14)
| line_equal(p,X2_14) ),
inference(superposition,[status(thm)],[c_130,c_47511]) ).
cnf(c_102044,plain,
( ~ colinear(a,e,h,X0_14)
| ~ colinear(c,d,i,X1_14)
| ~ colinear(c,e,g,X2_14)
| colinear(g,h,i,sK0(g,h,i))
| line_equal(X1_14,s)
| line_equal(n,X2_14)
| line_equal(p,X0_14) ),
inference(superposition,[status(thm)],[c_129,c_101927]) ).
cnf(c_105747,plain,
( ~ colinear(c,d,i,X0_14)
| ~ colinear(c,e,g,X1_14)
| colinear(g,h,i,sK0(g,h,i))
| line_equal(X0_14,s)
| line_equal(n,X1_14)
| line_equal(p,q) ),
inference(superposition,[status(thm)],[c_131,c_102044]) ).
cnf(c_105749,plain,
( line_equal(n,X1_14)
| line_equal(X0_14,s)
| colinear(g,h,i,sK0(g,h,i))
| ~ colinear(c,e,g,X1_14)
| ~ colinear(c,d,i,X0_14) ),
inference(global_subsumption_just,[status(thm)],[c_105747,c_6833,c_31467,c_60986,c_88363,c_105747]) ).
cnf(c_105750,plain,
( ~ colinear(c,d,i,X0_14)
| ~ colinear(c,e,g,X1_14)
| colinear(g,h,i,sK0(g,h,i))
| line_equal(X0_14,s)
| line_equal(n,X1_14) ),
inference(renaming,[status(thm)],[c_105749]) ).
cnf(c_105857,plain,
( ~ colinear(c,e,g,X0_14)
| colinear(g,h,i,sK0(g,h,i))
| line_equal(n,X0_14)
| line_equal(r,s) ),
inference(superposition,[status(thm)],[c_128,c_105750]) ).
cnf(c_105859,plain,
( line_equal(n,X0_14)
| colinear(g,h,i,sK0(g,h,i))
| ~ colinear(c,e,g,X0_14) ),
inference(global_subsumption_just,[status(thm)],[c_105857,c_7445,c_20659,c_60398,c_92819,c_105857]) ).
cnf(c_105860,plain,
( ~ colinear(c,e,g,X0_14)
| colinear(g,h,i,sK0(g,h,i))
| line_equal(n,X0_14) ),
inference(renaming,[status(thm)],[c_105859]) ).
cnf(c_105947,plain,
( colinear(g,h,i,sK0(g,h,i))
| line_equal(n,o) ),
inference(superposition,[status(thm)],[c_133,c_105860]) ).
cnf(c_106288,plain,
( incident(g,sK0(g,h,i))
| line_equal(n,o) ),
inference(superposition,[status(thm)],[c_105947,c_127]) ).
cnf(c_106292,plain,
( incident(h,sK0(g,h,i))
| line_equal(n,o) ),
inference(superposition,[status(thm)],[c_105947,c_126]) ).
cnf(c_106293,plain,
( incident(i,sK0(g,h,i))
| line_equal(n,o) ),
inference(superposition,[status(thm)],[c_105947,c_125]) ).
cnf(c_108461,plain,
( ~ incident(h,sK0(g,h,i))
| ~ incident(i,sK0(g,h,i))
| line_equal(n,o) ),
inference(superposition,[status(thm)],[c_106288,c_104]) ).
cnf(c_108497,plain,
line_equal(n,o),
inference(global_subsumption_just,[status(thm)],[c_108461,c_106293,c_106292,c_108461]) ).
cnf(c_109089,plain,
incident(f,o),
inference(superposition,[status(thm)],[c_108497,c_6060]) ).
cnf(c_109090,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_109089,c_86558,c_53644,c_48141,c_34244,c_5932,c_3304,c_162,c_158,c_152,c_150,c_49,c_51,c_55,c_59,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 18:55:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 55.30/8.27 % SZS status Started for theBenchmark.p
% 55.30/8.27 % SZS status Theorem for theBenchmark.p
% 55.30/8.27
% 55.30/8.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 55.30/8.27
% 55.30/8.27 ------ iProver source info
% 55.30/8.27
% 55.30/8.27 git: date: 2023-05-31 18:12:56 +0000
% 55.30/8.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 55.30/8.27 git: non_committed_changes: false
% 55.30/8.27 git: last_make_outside_of_git: false
% 55.30/8.27
% 55.30/8.27 ------ Parsing...
% 55.30/8.27 ------ Clausification by vclausify_rel & Parsing by iProver...
% 55.30/8.27
% 55.30/8.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.30/8.27
% 55.30/8.27 ------ Preprocessing...
% 55.30/8.27 ------ Proving...
% 55.30/8.27 ------ Problem Properties
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27 clauses 32
% 55.30/8.27 conjectures 0
% 55.30/8.27 EPR 27
% 55.30/8.27 Horn 30
% 55.30/8.27 unary 14
% 55.30/8.27 binary 7
% 55.30/8.27 lits 73
% 55.30/8.27 lits eq 0
% 55.30/8.27 fd_pure 0
% 55.30/8.27 fd_pseudo 0
% 55.30/8.27 fd_cond 0
% 55.30/8.27 fd_pseudo_cond 0
% 55.30/8.27 AC symbols 0
% 55.30/8.27
% 55.30/8.27 ------ Input Options Time Limit: Unbounded
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27 ------
% 55.30/8.27 Current options:
% 55.30/8.27 ------
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27 ------ Proving...
% 55.30/8.27
% 55.30/8.27
% 55.30/8.27 % SZS status Theorem for theBenchmark.p
% 55.30/8.27
% 55.30/8.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.00/8.28
% 56.00/8.29
%------------------------------------------------------------------------------