TSTP Solution File: GEO169+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Fri May 3 02:16:36 EDT 2024
% Result : Theorem 6.85s 1.70s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 49
% Syntax : Number of formulae : 604 ( 91 unt; 0 def)
% Number of atoms : 2046 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 2605 (1163 ~;1407 |; 17 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 362 ( 1 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( incident(ab,X0)
& incident(ac,X0)
& incident(bc,X0)
& line_equal(X0,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
fof(f2,axiom,
( ( incident(c1,a2b2)
& incident(b1,a2c2)
& incident(a1,b2c2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1in2) ).
fof(f3,axiom,
( ( incident(c2,a1b1)
& incident(b2,a1c1)
& incident(a2,b1c1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2in1) ).
fof(f4,axiom,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_a) ).
fof(f5,axiom,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_b) ).
fof(f6,axiom,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_c) ).
fof(f7,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1b1) ).
fof(f8,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1a1) ).
fof(f9,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2b2) ).
fof(f10,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2a2) ).
fof(f11,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1c1) ).
fof(f12,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1a1) ).
fof(f13,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2c2) ).
fof(f14,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2a2) ).
fof(f15,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1b1) ).
fof(f16,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1c1) ).
fof(f17,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2b2) ).
fof(f18,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2c2) ).
fof(f19,axiom,
incident(o,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooa) ).
fof(f20,axiom,
incident(o,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ioob) ).
fof(f21,axiom,
incident(o,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooc) ).
fof(f22,axiom,
incident(a1,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1oa) ).
fof(f23,axiom,
incident(a2,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2oa) ).
fof(f24,axiom,
incident(b1,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1ob) ).
fof(f25,axiom,
incident(b2,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2ob) ).
fof(f26,axiom,
incident(c1,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1oc) ).
fof(f27,axiom,
incident(c2,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2oc) ).
fof(f28,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc1) ).
fof(f29,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc2) ).
fof(f30,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac1) ).
fof(f31,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac2) ).
fof(f32,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab1) ).
fof(f33,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab2) ).
fof(f34,axiom,
! [X0] :
( ( incident(c1,X0)
& incident(b1,X0)
& incident(a1,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle1) ).
fof(f35,axiom,
! [X0] :
( ( incident(c2,X0)
& incident(b2,X0)
& incident(a2,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle2) ).
fof(f36,axiom,
( point_equal(a2,a1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notaa) ).
fof(f37,axiom,
( point_equal(b2,b1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbb) ).
fof(f38,axiom,
( point_equal(c2,c1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notcc) ).
fof(f39,axiom,
( line_equal(b1c1,b2c2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbc) ).
fof(f40,axiom,
( line_equal(a1c1,a2c2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notac) ).
fof(f41,axiom,
( line_equal(a1b1,a2b2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notab) ).
fof(f43,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( point_equal(X1,X2)
& point_equal(X0,X1) )
=> point_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(f45,axiom,
! [X0,X1] :
( incident(X0,X1)
=> line_equal(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(f46,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
fof(f49,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( incident(X1,X3)
& incident(X1,X2)
& incident(X0,X3)
& incident(X0,X2) )
=> ( line_equal(X2,X3)
| point_equal(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
fof(f51,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f52,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f51]) ).
fof(f53,plain,
~ goal,
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f55,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f57,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f59,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f63,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f65,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f66,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f67,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f68,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f69,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f71,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f72,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f73,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f75,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f79,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f81,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( line_equal(X2,X3)
| point_equal(X0,X1)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( line_equal(X2,X3)
| point_equal(X0,X1)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f87,plain,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f88,plain,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f90,plain,
incident(a1,a1b1),
inference(cnf_transformation,[],[f7]) ).
fof(f91,plain,
incident(b1,a1b1),
inference(cnf_transformation,[],[f8]) ).
fof(f92,plain,
incident(a2,a2b2),
inference(cnf_transformation,[],[f9]) ).
fof(f93,plain,
incident(b2,a2b2),
inference(cnf_transformation,[],[f10]) ).
fof(f94,plain,
incident(a1,a1c1),
inference(cnf_transformation,[],[f11]) ).
fof(f95,plain,
incident(c1,a1c1),
inference(cnf_transformation,[],[f12]) ).
fof(f96,plain,
incident(a2,a2c2),
inference(cnf_transformation,[],[f13]) ).
fof(f97,plain,
incident(c2,a2c2),
inference(cnf_transformation,[],[f14]) ).
fof(f98,plain,
incident(c1,b1c1),
inference(cnf_transformation,[],[f15]) ).
fof(f99,plain,
incident(b1,b1c1),
inference(cnf_transformation,[],[f16]) ).
fof(f100,plain,
incident(c2,b2c2),
inference(cnf_transformation,[],[f17]) ).
fof(f101,plain,
incident(b2,b2c2),
inference(cnf_transformation,[],[f18]) ).
fof(f102,plain,
incident(o,oa),
inference(cnf_transformation,[],[f19]) ).
fof(f103,plain,
incident(o,ob),
inference(cnf_transformation,[],[f20]) ).
fof(f104,plain,
incident(o,oc),
inference(cnf_transformation,[],[f21]) ).
fof(f105,plain,
incident(a1,oa),
inference(cnf_transformation,[],[f22]) ).
fof(f106,plain,
incident(a2,oa),
inference(cnf_transformation,[],[f23]) ).
fof(f107,plain,
incident(b1,ob),
inference(cnf_transformation,[],[f24]) ).
fof(f108,plain,
incident(b2,ob),
inference(cnf_transformation,[],[f25]) ).
fof(f109,plain,
incident(c1,oc),
inference(cnf_transformation,[],[f26]) ).
fof(f110,plain,
incident(c2,oc),
inference(cnf_transformation,[],[f27]) ).
fof(f111,plain,
incident(bc,b1c1),
inference(cnf_transformation,[],[f28]) ).
fof(f112,plain,
incident(bc,b2c2),
inference(cnf_transformation,[],[f29]) ).
fof(f113,plain,
incident(ac,a1c1),
inference(cnf_transformation,[],[f30]) ).
fof(f114,plain,
incident(ac,a2c2),
inference(cnf_transformation,[],[f31]) ).
fof(f115,plain,
incident(ab,a1b1),
inference(cnf_transformation,[],[f32]) ).
fof(f116,plain,
incident(ab,a2b2),
inference(cnf_transformation,[],[f33]) ).
fof(f117,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f118,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f119,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f120,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f122,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f123,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f124,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f126,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
! [X2,X0,X1] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f128,plain,
! [X0,X1] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f131,plain,
! [X2,X0,X1] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f132,plain,
! [X2,X0,X1] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( line_equal(X2,X3)
| point_equal(X0,X1)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
~ goal,
inference(cnf_transformation,[],[f53]) ).
cnf(c_49,plain,
( ~ line_equal(X0,X0)
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| goal ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_50,plain,
( ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2)
| goal ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_51,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| goal ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_52,plain,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_53,plain,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_54,plain,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_55,plain,
incident(a1,a1b1),
inference(cnf_transformation,[],[f90]) ).
cnf(c_56,plain,
incident(b1,a1b1),
inference(cnf_transformation,[],[f91]) ).
cnf(c_57,plain,
incident(a2,a2b2),
inference(cnf_transformation,[],[f92]) ).
cnf(c_58,plain,
incident(b2,a2b2),
inference(cnf_transformation,[],[f93]) ).
cnf(c_59,plain,
incident(a1,a1c1),
inference(cnf_transformation,[],[f94]) ).
cnf(c_60,plain,
incident(c1,a1c1),
inference(cnf_transformation,[],[f95]) ).
cnf(c_61,plain,
incident(a2,a2c2),
inference(cnf_transformation,[],[f96]) ).
cnf(c_62,plain,
incident(c2,a2c2),
inference(cnf_transformation,[],[f97]) ).
cnf(c_63,plain,
incident(c1,b1c1),
inference(cnf_transformation,[],[f98]) ).
cnf(c_64,plain,
incident(b1,b1c1),
inference(cnf_transformation,[],[f99]) ).
cnf(c_65,plain,
incident(c2,b2c2),
inference(cnf_transformation,[],[f100]) ).
cnf(c_66,plain,
incident(b2,b2c2),
inference(cnf_transformation,[],[f101]) ).
cnf(c_67,plain,
incident(o,oa),
inference(cnf_transformation,[],[f102]) ).
cnf(c_68,plain,
incident(o,ob),
inference(cnf_transformation,[],[f103]) ).
cnf(c_69,plain,
incident(o,oc),
inference(cnf_transformation,[],[f104]) ).
cnf(c_70,plain,
incident(a1,oa),
inference(cnf_transformation,[],[f105]) ).
cnf(c_71,plain,
incident(a2,oa),
inference(cnf_transformation,[],[f106]) ).
cnf(c_72,plain,
incident(b1,ob),
inference(cnf_transformation,[],[f107]) ).
cnf(c_73,plain,
incident(b2,ob),
inference(cnf_transformation,[],[f108]) ).
cnf(c_74,plain,
incident(c1,oc),
inference(cnf_transformation,[],[f109]) ).
cnf(c_75,plain,
incident(c2,oc),
inference(cnf_transformation,[],[f110]) ).
cnf(c_76,plain,
incident(bc,b1c1),
inference(cnf_transformation,[],[f111]) ).
cnf(c_77,plain,
incident(bc,b2c2),
inference(cnf_transformation,[],[f112]) ).
cnf(c_78,plain,
incident(ac,a1c1),
inference(cnf_transformation,[],[f113]) ).
cnf(c_79,plain,
incident(ac,a2c2),
inference(cnf_transformation,[],[f114]) ).
cnf(c_80,plain,
incident(ab,a1b1),
inference(cnf_transformation,[],[f115]) ).
cnf(c_81,plain,
incident(ab,a2b2),
inference(cnf_transformation,[],[f116]) ).
cnf(c_82,plain,
( ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0)
| goal ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_83,plain,
( ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0)
| goal ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_84,plain,
( ~ point_equal(a2,a1)
| goal ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_85,plain,
( ~ point_equal(b2,b1)
| goal ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_86,plain,
( ~ point_equal(c2,c1)
| goal ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_87,plain,
( ~ line_equal(b1c1,b2c2)
| goal ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_88,plain,
( ~ line_equal(a1c1,a2c2)
| goal ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_89,plain,
( ~ line_equal(a1b1,a2b2)
| goal ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_91,plain,
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_92,plain,
( ~ point_equal(X0,X1)
| ~ point_equal(X1,X2)
| point_equal(X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_93,plain,
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_94,plain,
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_96,plain,
( ~ incident(X0,X1)
| ~ point_equal(X2,X0)
| incident(X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_97,plain,
( ~ incident(X0,X1)
| ~ line_equal(X1,X2)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_98,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(X3,X1)
| ~ incident(X3,X2)
| line_equal(X1,X2)
| point_equal(X0,X3) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_99,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f134]) ).
cnf(c_105,plain,
~ line_equal(a1b1,a2b2),
inference(global_subsumption_just,[status(thm)],[c_89,c_99,c_89]) ).
cnf(c_107,plain,
~ line_equal(a1c1,a2c2),
inference(global_subsumption_just,[status(thm)],[c_88,c_99,c_88]) ).
cnf(c_117,plain,
( ~ incident(a2,X0)
| ~ incident(b2,X0)
| ~ incident(c2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_99,c_83]) ).
cnf(c_118,plain,
( ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(renaming,[status(thm)],[c_117]) ).
cnf(c_120,plain,
( ~ incident(a1,X0)
| ~ incident(b1,X0)
| ~ incident(c1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_99,c_82]) ).
cnf(c_121,plain,
( ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(renaming,[status(thm)],[c_120]) ).
cnf(c_123,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_99,c_51]) ).
cnf(c_124,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(renaming,[status(thm)],[c_123]) ).
cnf(c_127,plain,
( ~ incident(bc,X0)
| ~ incident(ac,X0)
| ~ incident(ab,X0)
| ~ line_equal(X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_99,c_49]) ).
cnf(c_128,plain,
( ~ line_equal(X0,X0)
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_222,plain,
( ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_93]) ).
cnf(c_454,plain,
( ~ incident(c2,a2b2)
| ~ incident(b2,a2b2)
| ~ incident(a2,a2b2) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_455,plain,
( ~ incident(c2,b2c2)
| ~ incident(b2,b2c2)
| ~ incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_457,plain,
( ~ incident(c1,a1c1)
| ~ incident(b1,a1c1)
| ~ incident(a1,a1c1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_458,plain,
( ~ incident(c1,b1c1)
| ~ incident(b1,b1c1)
| ~ incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_460,plain,
( ~ incident(ab,b1c1)
| ~ incident(ac,b1c1)
| ~ incident(bc,b1c1) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_461,plain,
( ~ incident(ab,b2c2)
| ~ incident(ac,b2c2)
| ~ incident(bc,b2c2) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_527,plain,
( ~ point_equal(a1,a2)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_532,plain,
( ~ point_equal(X0,a1)
| ~ incident(a1,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_535,plain,
( ~ point_equal(X0,a1)
| ~ incident(a1,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_536,plain,
( ~ point_equal(X0,b1)
| ~ incident(b1,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_537,plain,
( ~ point_equal(X0,a2)
| ~ incident(a2,a2b2)
| incident(X0,a2b2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_539,plain,
( ~ point_equal(X0,b2)
| ~ incident(b2,a2b2)
| incident(X0,a2b2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_541,plain,
( ~ point_equal(X0,a1)
| ~ incident(a1,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_542,plain,
( ~ point_equal(X0,c1)
| ~ incident(c1,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_543,plain,
( ~ point_equal(X0,a2)
| ~ incident(a2,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_545,plain,
( ~ point_equal(X0,c2)
| ~ incident(c2,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_546,plain,
( ~ incident(c2,a2c2)
| ~ point_equal(a1,c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_545]) ).
cnf(c_547,plain,
( ~ point_equal(X0,c1)
| ~ incident(c1,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_548,plain,
( ~ incident(c1,b1c1)
| ~ point_equal(a1,c1)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_549,plain,
( ~ point_equal(X0,b1)
| ~ incident(b1,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_550,plain,
( ~ incident(b1,b1c1)
| ~ point_equal(a1,b1)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_549]) ).
cnf(c_551,plain,
( ~ point_equal(X0,c2)
| ~ incident(c2,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_553,plain,
( ~ point_equal(X0,b2)
| ~ incident(b2,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_555,plain,
( ~ point_equal(X0,o)
| ~ incident(o,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_556,plain,
( ~ point_equal(X0,o)
| ~ incident(o,ob)
| incident(X0,ob) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_558,plain,
( ~ point_equal(X0,o)
| ~ incident(o,oc)
| incident(X0,oc) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_559,plain,
( ~ incident(o,oc)
| ~ point_equal(a1,o)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_558]) ).
cnf(c_561,plain,
( ~ point_equal(X0,a2)
| ~ incident(a2,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_574,plain,
( ~ point_equal(X0,ac)
| ~ incident(ac,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_580,plain,
( ~ incident(a1,X0)
| ~ incident(a1,X1)
| ~ incident(a2,X0)
| ~ incident(a2,X1)
| line_equal(X0,X1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_581,plain,
( ~ incident(b1,X0)
| ~ incident(b1,X1)
| ~ incident(b2,X0)
| ~ incident(b2,X1)
| line_equal(X0,X1)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_583,plain,
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(c2,X0)
| ~ incident(c2,X1)
| line_equal(X0,X1)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_688,plain,
( ~ point_equal(X0,a2)
| point_equal(a2,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_690,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(a2,X1)
| ~ incident(a2,X2)
| line_equal(X1,X2)
| point_equal(a2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_695,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b2,X1)
| ~ incident(b2,X2)
| line_equal(X1,X2)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_697,plain,
( ~ point_equal(X0,c2)
| point_equal(c2,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_698,plain,
( ~ point_equal(a1,c2)
| point_equal(c2,a1) ),
inference(instantiation,[status(thm)],[c_697]) ).
cnf(c_700,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(c2,X1)
| ~ incident(c2,X2)
| line_equal(X1,X2)
| point_equal(c2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_702,plain,
( ~ point_equal(b1,X0)
| point_equal(X0,b1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_703,plain,
( ~ point_equal(b1,a1)
| point_equal(a1,b1) ),
inference(instantiation,[status(thm)],[c_702]) ).
cnf(c_705,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b1,X1)
| ~ incident(b1,X2)
| line_equal(X1,X2)
| point_equal(X0,b1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_711,plain,
( ~ point_equal(X0,X1)
| ~ incident(X1,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_718,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(a2,X1)
| ~ incident(a2,X2)
| line_equal(X1,X2)
| point_equal(X0,a2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_722,plain,
( ~ incident(a1,a1b1)
| ~ point_equal(c1,a1)
| incident(c1,a1b1) ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_723,plain,
( ~ incident(c1,a1b1)
| ~ incident(b1,a1b1)
| ~ incident(a1,a1b1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_726,plain,
( ~ point_equal(X0,X1)
| ~ incident(X1,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_744,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b2,X1)
| ~ incident(b2,X2)
| line_equal(X1,X2)
| point_equal(X0,b2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_758,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(c1,X1)
| ~ incident(c1,X2)
| line_equal(X1,X2)
| point_equal(X0,c1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_767,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(c2,X1)
| ~ incident(c2,X2)
| line_equal(X1,X2)
| point_equal(X0,c2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_788,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(o,X1)
| ~ incident(o,X2)
| line_equal(X1,X2)
| point_equal(X0,o) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_804,plain,
( ~ point_equal(X0,X1)
| ~ incident(X1,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_844,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(ac,X1)
| ~ incident(ac,X2)
| line_equal(X1,X2)
| point_equal(X0,ac) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_853,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(ab,X1)
| ~ incident(ab,X2)
| line_equal(X1,X2)
| point_equal(X0,ab) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_865,plain,
( ~ incident(a1,X0)
| ~ incident(a2,X0)
| ~ incident(a1,oa)
| ~ incident(a2,oa)
| line_equal(X0,oa)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_580]) ).
cnf(c_869,plain,
( ~ incident(a1,X0)
| ~ incident(a2,X0)
| ~ incident(a1,a1b1)
| ~ incident(a2,a1b1)
| line_equal(X0,a1b1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_580]) ).
cnf(c_870,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(a2,b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_876,plain,
( ~ incident(b1,X0)
| ~ incident(b2,X0)
| ~ incident(b1,a2b2)
| ~ incident(b2,a2b2)
| line_equal(X0,a2b2)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_581]) ).
cnf(c_880,plain,
( ~ incident(b1,X0)
| ~ incident(b2,X0)
| ~ incident(b1,ob)
| ~ incident(b2,ob)
| line_equal(X0,ob)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_581]) ).
cnf(c_889,plain,
( ~ incident(a2,oa)
| ~ point_equal(b2,a2)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_896,plain,
( ~ incident(c1,X0)
| ~ incident(c2,X0)
| ~ incident(c1,oc)
| ~ incident(c2,oc)
| line_equal(X0,oc)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_583]) ).
cnf(c_904,plain,
( ~ incident(a1,a1c1)
| ~ point_equal(c2,a1)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_541]) ).
cnf(c_1000,plain,
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(a1,X0)
| ~ incident(a1,X1)
| line_equal(X0,X1)
| point_equal(c1,a1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1012,plain,
( ~ incident(ac,X0)
| ~ incident(ac,X1)
| ~ incident(a1,X0)
| ~ incident(a1,X1)
| line_equal(X0,X1)
| point_equal(ac,a1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1016,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(bc,b1)
| incident(bc,a1b1) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_1021,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(c1,b1)
| incident(c1,a1b1) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_1046,plain,
( ~ incident(a2,oa)
| ~ point_equal(b1,a2)
| incident(b1,oa) ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_1081,plain,
( ~ point_equal(X0,b1)
| point_equal(b1,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1083,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b1,X1)
| ~ incident(b1,X2)
| line_equal(X1,X2)
| point_equal(b1,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1125,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(o,X1)
| ~ incident(o,X2)
| line_equal(X1,X2)
| point_equal(o,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1129,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(bc,X1)
| ~ incident(bc,X2)
| line_equal(X1,X2)
| point_equal(bc,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1133,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(ac,X1)
| ~ incident(ac,X2)
| line_equal(X1,X2)
| point_equal(ac,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1138,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(ab,X1)
| ~ incident(ab,X2)
| line_equal(X1,X2)
| point_equal(ab,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_1340,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,oa)
| ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| line_equal(a2c2,oa)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_865]) ).
cnf(c_1364,plain,
( ~ incident(b1,b2c2)
| ~ incident(b1,ob)
| ~ incident(b2,b2c2)
| ~ incident(b2,ob)
| line_equal(b2c2,ob)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_880]) ).
cnf(c_1378,plain,
( ~ incident(c1,a2c2)
| ~ incident(c1,oc)
| ~ incident(c2,a2c2)
| ~ incident(c2,oc)
| line_equal(a2c2,oc)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_1410,plain,
( ~ incident(X0,b2c2)
| ~ point_equal(a2,X0)
| incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_711]) ).
cnf(c_1434,plain,
( ~ incident(b1,a1b1)
| ~ incident(b1,ob)
| ~ incident(b2,a1b1)
| ~ incident(b2,ob)
| line_equal(a1b1,ob)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_880]) ).
cnf(c_1528,plain,
( ~ incident(a1,a1c1)
| ~ incident(a1,oa)
| ~ incident(a2,a1c1)
| ~ incident(a2,oa)
| line_equal(a1c1,oa)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_865]) ).
cnf(c_1557,plain,
( ~ incident(X0,oa)
| ~ point_equal(c2,X0)
| incident(c2,oa) ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_1643,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b1c1)
| ~ incident(a2,X1)
| ~ incident(a2,b1c1)
| line_equal(X1,b1c1)
| point_equal(a2,X0) ),
inference(instantiation,[status(thm)],[c_690]) ).
cnf(c_1645,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2c2)
| ~ incident(a2,X1)
| ~ incident(a2,a2c2)
| line_equal(X1,a2c2)
| point_equal(a2,X0) ),
inference(instantiation,[status(thm)],[c_690]) ).
cnf(c_1646,plain,
( ~ incident(X0,X1)
| ~ incident(X0,oa)
| ~ incident(a2,X1)
| ~ incident(a2,oa)
| line_equal(X1,oa)
| point_equal(a2,X0) ),
inference(instantiation,[status(thm)],[c_690]) ).
cnf(c_1658,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2b2)
| ~ incident(b2,X1)
| ~ incident(b2,a2b2)
| line_equal(X1,a2b2)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_1660,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(b2,X1)
| ~ incident(b2,b2c2)
| line_equal(X1,b2c2)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_1678,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(c2,X1)
| ~ incident(c2,b2c2)
| line_equal(X1,b2c2)
| point_equal(c2,X0) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1696,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(b1,X1)
| ~ incident(b1,a1b1)
| line_equal(X1,a1b1)
| point_equal(X0,b1) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_1698,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b1c1)
| ~ incident(b1,X1)
| ~ incident(b1,b1c1)
| line_equal(X1,b1c1)
| point_equal(X0,b1) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_1700,plain,
( ~ incident(X0,X1)
| ~ incident(X0,ob)
| ~ incident(b1,X1)
| ~ incident(b1,ob)
| line_equal(X1,ob)
| point_equal(X0,b1) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_1713,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b1c1)
| ~ incident(a2,X1)
| ~ incident(a2,b1c1)
| line_equal(X1,b1c1)
| point_equal(X0,a2) ),
inference(instantiation,[status(thm)],[c_718]) ).
cnf(c_1715,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2c2)
| ~ incident(a2,X1)
| ~ incident(a2,a2c2)
| line_equal(X1,a2c2)
| point_equal(X0,a2) ),
inference(instantiation,[status(thm)],[c_718]) ).
cnf(c_1849,plain,
( ~ point_equal(X0,a1)
| incident(X0,a1c1) ),
inference(superposition,[status(thm)],[c_59,c_96]) ).
cnf(c_1852,plain,
( ~ point_equal(X0,c2)
| incident(X0,a2c2) ),
inference(superposition,[status(thm)],[c_62,c_96]) ).
cnf(c_1858,plain,
( ~ point_equal(X0,o)
| incident(X0,ob) ),
inference(superposition,[status(thm)],[c_68,c_96]) ).
cnf(c_1865,plain,
( ~ point_equal(X0,c2)
| incident(X0,oc) ),
inference(superposition,[status(thm)],[c_75,c_96]) ).
cnf(c_1944,plain,
( ~ point_equal(a1,o)
| incident(a1,ob) ),
inference(instantiation,[status(thm)],[c_1858]) ).
cnf(c_2053,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2b2)
| ~ incident(b2,X1)
| ~ incident(b2,a2b2)
| line_equal(X1,a2b2)
| point_equal(X0,b2) ),
inference(instantiation,[status(thm)],[c_744]) ).
cnf(c_2071,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1c1)
| ~ incident(c1,X1)
| ~ incident(c1,a1c1)
| line_equal(X1,a1c1)
| point_equal(X0,c1) ),
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_2075,plain,
( ~ incident(X0,X1)
| ~ incident(X0,oc)
| ~ incident(c1,X1)
| ~ incident(c1,oc)
| line_equal(X1,oc)
| point_equal(X0,c1) ),
inference(instantiation,[status(thm)],[c_758]) ).
cnf(c_2092,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(c2,X1)
| ~ incident(c2,b2c2)
| line_equal(X1,b2c2)
| point_equal(X0,c2) ),
inference(instantiation,[status(thm)],[c_767]) ).
cnf(c_2094,plain,
( ~ incident(X0,X1)
| ~ incident(X0,oc)
| ~ incident(c2,X1)
| ~ incident(c2,oc)
| line_equal(X1,oc)
| point_equal(X0,c2) ),
inference(instantiation,[status(thm)],[c_767]) ).
cnf(c_2110,plain,
( ~ incident(X0,X1)
| ~ incident(X0,ob)
| ~ incident(o,X1)
| ~ incident(o,ob)
| line_equal(X1,ob)
| point_equal(X0,o) ),
inference(instantiation,[status(thm)],[c_788]) ).
cnf(c_2116,plain,
( ~ incident(a1,b2c2)
| ~ point_equal(o,a1)
| incident(o,b2c2) ),
inference(instantiation,[status(thm)],[c_532]) ).
cnf(c_2118,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(o,X1)
| ~ incident(o,a1b1)
| line_equal(X1,a1b1)
| point_equal(X0,o) ),
inference(instantiation,[status(thm)],[c_788]) ).
cnf(c_2119,plain,
( ~ incident(X0,a1b1)
| ~ point_equal(o,X0)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_726]) ).
cnf(c_2120,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(o,b1)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_2146,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2c2)
| ~ incident(ac,X1)
| ~ incident(ac,a2c2)
| line_equal(X1,a2c2)
| point_equal(X0,ac) ),
inference(instantiation,[status(thm)],[c_844]) ).
cnf(c_2154,plain,
( ~ incident(a1,a1b1)
| ~ point_equal(ac,a1)
| incident(ac,a1b1) ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_2162,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(ab,X1)
| ~ incident(ab,a1b1)
| line_equal(X1,a1b1)
| point_equal(X0,ab) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_2227,plain,
( ~ incident(X0,a1b1)
| ~ line_equal(a1b1,ob)
| incident(X0,ob) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_2230,plain,
( ~ incident(a1,a1b1)
| ~ line_equal(a1b1,ob)
| incident(a1,ob) ),
inference(instantiation,[status(thm)],[c_2227]) ).
cnf(c_2231,plain,
( ~ line_equal(a1b1,oa)
| line_equal(oa,a1b1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_2238,plain,
( ~ incident(X0,a1c1)
| ~ line_equal(a1c1,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_2242,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,oc)
| incident(X0,oc) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_2245,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,oc)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_2242]) ).
cnf(c_2247,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,ob)
| incident(X0,ob) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_2250,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,ob)
| incident(a1,ob) ),
inference(instantiation,[status(thm)],[c_2247]) ).
cnf(c_2544,plain,
( ~ incident(c1,X0)
| ~ incident(a1,X0)
| ~ incident(c1,a1c1)
| ~ incident(a1,a1c1)
| line_equal(X0,a1c1)
| point_equal(c1,a1) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_2562,plain,
( ~ incident(ac,X0)
| ~ incident(a1,X0)
| ~ incident(ac,a1c1)
| ~ incident(a1,a1c1)
| line_equal(X0,a1c1)
| point_equal(ac,a1) ),
inference(instantiation,[status(thm)],[c_1012]) ).
cnf(c_2609,plain,
( ~ incident(b1,X0)
| ~ incident(a2,X0)
| ~ incident(b1,b1c1)
| ~ incident(a2,b1c1)
| line_equal(X0,b1c1)
| point_equal(a2,b1) ),
inference(instantiation,[status(thm)],[c_1643]) ).
cnf(c_2620,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(b1,X1)
| ~ incident(b1,a1b1)
| line_equal(X1,a1b1)
| point_equal(b1,X0) ),
inference(instantiation,[status(thm)],[c_1083]) ).
cnf(c_2654,plain,
( ~ incident(c2,X0)
| ~ incident(a2,X0)
| ~ incident(c2,a2c2)
| ~ incident(a2,a2c2)
| line_equal(X0,a2c2)
| point_equal(a2,c2) ),
inference(instantiation,[status(thm)],[c_1645]) ).
cnf(c_2660,plain,
( ~ incident(X0,a2c2)
| ~ incident(X0,oa)
| ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| point_equal(a2,X0)
| line_equal(a2c2,oa) ),
inference(instantiation,[status(thm)],[c_1646]) ).
cnf(c_2673,plain,
( ~ incident(b2,X0)
| ~ incident(a2,X0)
| ~ incident(b2,a2b2)
| ~ incident(a2,a2b2)
| line_equal(X0,a2b2)
| point_equal(b2,a2) ),
inference(instantiation,[status(thm)],[c_1658]) ).
cnf(c_2678,plain,
( ~ incident(X0,a2b2)
| ~ incident(X0,b2c2)
| ~ incident(b2,a2b2)
| ~ incident(b2,b2c2)
| point_equal(b2,X0)
| line_equal(a2b2,b2c2) ),
inference(instantiation,[status(thm)],[c_1660]) ).
cnf(c_2709,plain,
( ~ incident(X0,b2c2)
| ~ incident(X0,oc)
| ~ incident(c2,b2c2)
| ~ incident(c2,oc)
| point_equal(c2,X0)
| line_equal(oc,b2c2) ),
inference(instantiation,[status(thm)],[c_1678]) ).
cnf(c_2737,plain,
( ~ incident(X0,a1b1)
| ~ incident(X0,ob)
| ~ incident(b1,a1b1)
| ~ incident(b1,ob)
| point_equal(X0,b1)
| line_equal(ob,a1b1) ),
inference(instantiation,[status(thm)],[c_1696]) ).
cnf(c_2751,plain,
( ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(c1,b1c1)
| ~ incident(b1,b1c1)
| line_equal(X0,b1c1)
| point_equal(c1,b1) ),
inference(instantiation,[status(thm)],[c_1698]) ).
cnf(c_2756,plain,
( ~ incident(b1,X0)
| ~ incident(o,X0)
| ~ incident(b1,ob)
| ~ incident(o,ob)
| line_equal(X0,ob)
| point_equal(o,b1) ),
inference(instantiation,[status(thm)],[c_1700]) ).
cnf(c_2763,plain,
( ~ incident(b1,X0)
| ~ incident(a2,X0)
| ~ incident(b1,b1c1)
| ~ incident(a2,b1c1)
| line_equal(X0,b1c1)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_1713]) ).
cnf(c_2771,plain,
( ~ incident(b1,X0)
| ~ incident(a2,X0)
| ~ incident(b1,a2c2)
| ~ incident(a2,a2c2)
| line_equal(X0,a2c2)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_1715]) ).
cnf(c_2794,plain,
( ~ incident(ab,X0)
| ~ incident(b2,X0)
| ~ incident(ab,a2b2)
| ~ incident(b2,a2b2)
| line_equal(X0,a2b2)
| point_equal(ab,b2) ),
inference(instantiation,[status(thm)],[c_2053]) ).
cnf(c_2837,plain,
( ~ line_equal(b2c2,X0)
| incident(b2,X0) ),
inference(superposition,[status(thm)],[c_66,c_97]) ).
cnf(c_2839,plain,
( ~ line_equal(ob,X0)
| incident(o,X0) ),
inference(superposition,[status(thm)],[c_68,c_97]) ).
cnf(c_2844,plain,
( ~ line_equal(ob,X0)
| incident(b2,X0) ),
inference(superposition,[status(thm)],[c_73,c_97]) ).
cnf(c_2848,plain,
( ~ line_equal(b2c2,X0)
| incident(bc,X0) ),
inference(superposition,[status(thm)],[c_77,c_97]) ).
cnf(c_3048,plain,
( ~ incident(X0,a1c1)
| ~ incident(X0,oc)
| ~ incident(c1,a1c1)
| ~ incident(c1,oc)
| point_equal(X0,c1)
| line_equal(oc,a1c1) ),
inference(instantiation,[status(thm)],[c_2071]) ).
cnf(c_3049,plain,
( ~ incident(c1,a1c1)
| ~ incident(c1,oc)
| ~ incident(a1,a1c1)
| ~ incident(a1,oc)
| line_equal(oc,a1c1)
| point_equal(a1,c1) ),
inference(instantiation,[status(thm)],[c_3048]) ).
cnf(c_3068,plain,
( ~ incident(c1,X0)
| ~ incident(o,X0)
| ~ incident(c1,oc)
| ~ incident(o,oc)
| line_equal(X0,oc)
| point_equal(o,c1) ),
inference(instantiation,[status(thm)],[c_2075]) ).
cnf(c_3084,plain,
( ~ incident(X0,b2c2)
| ~ incident(X0,oc)
| ~ incident(c2,b2c2)
| ~ incident(c2,oc)
| point_equal(X0,c2)
| line_equal(oc,b2c2) ),
inference(instantiation,[status(thm)],[c_2092]) ).
cnf(c_3085,plain,
( ~ incident(a1,b2c2)
| ~ incident(a1,oc)
| ~ incident(c2,b2c2)
| ~ incident(c2,oc)
| line_equal(oc,b2c2)
| point_equal(a1,c2) ),
inference(instantiation,[status(thm)],[c_3084]) ).
cnf(c_3098,plain,
( ~ incident(X0,X1)
| ~ incident(X0,oa)
| ~ incident(o,X1)
| ~ incident(o,oa)
| line_equal(X1,oa)
| point_equal(o,X0) ),
inference(instantiation,[status(thm)],[c_1125]) ).
cnf(c_3116,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(bc,X1)
| ~ incident(bc,b2c2)
| line_equal(X1,b2c2)
| point_equal(bc,X0) ),
inference(instantiation,[status(thm)],[c_1129]) ).
cnf(c_3129,plain,
( ~ incident(c2,X0)
| ~ incident(o,X0)
| ~ incident(c2,oc)
| ~ incident(o,oc)
| line_equal(X0,oc)
| point_equal(o,c2) ),
inference(instantiation,[status(thm)],[c_2094]) ).
cnf(c_3150,plain,
( ~ incident(b1,X0)
| ~ incident(o,X0)
| ~ incident(b1,ob)
| ~ incident(o,ob)
| line_equal(X0,ob)
| point_equal(b1,o) ),
inference(instantiation,[status(thm)],[c_2110]) ).
cnf(c_3200,plain,
( ~ incident(ac,X0)
| ~ incident(b1,X0)
| ~ incident(ac,a2c2)
| ~ incident(b1,a2c2)
| line_equal(X0,a2c2)
| point_equal(b1,ac) ),
inference(instantiation,[status(thm)],[c_2146]) ).
cnf(c_3212,plain,
( ~ incident(X0,a2b2)
| ~ incident(X0,a1b1)
| ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| point_equal(X0,ab)
| line_equal(a2b2,a1b1) ),
inference(instantiation,[status(thm)],[c_2162]) ).
cnf(c_3235,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1c1)
| ~ incident(ac,X1)
| ~ incident(ac,a1c1)
| line_equal(X1,a1c1)
| point_equal(ac,X0) ),
inference(instantiation,[status(thm)],[c_1133]) ).
cnf(c_3249,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(ab,X1)
| ~ incident(ab,a1b1)
| line_equal(X1,a1b1)
| point_equal(ab,X0) ),
inference(instantiation,[status(thm)],[c_1138]) ).
cnf(c_3548,plain,
( ~ incident(ac,a2c2)
| ~ incident(ac,a1c1)
| ~ incident(a1,a2c2)
| ~ incident(a1,a1c1)
| line_equal(a2c2,a1c1)
| point_equal(ac,a1) ),
inference(instantiation,[status(thm)],[c_2562]) ).
cnf(c_3593,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,b1c1)
| ~ incident(a2,a2c2)
| ~ incident(a2,b1c1)
| line_equal(a2c2,b1c1)
| point_equal(a2,b1) ),
inference(instantiation,[status(thm)],[c_2609]) ).
cnf(c_3665,plain,
( ~ incident(c2,a2c2)
| ~ incident(c2,oc)
| ~ incident(a2,a2c2)
| ~ incident(a2,oc)
| line_equal(oc,a2c2)
| point_equal(a2,c2) ),
inference(instantiation,[status(thm)],[c_2654]) ).
cnf(c_3705,plain,
( ~ incident(b2,a2b2)
| ~ incident(b2,ob)
| ~ incident(a2,a2b2)
| ~ incident(a2,ob)
| line_equal(ob,a2b2)
| point_equal(b2,a2) ),
inference(instantiation,[status(thm)],[c_2673]) ).
cnf(c_3799,plain,
( ~ incident(X0,a2c2)
| ~ incident(X0,a1b1)
| ~ incident(b1,a2c2)
| ~ incident(b1,a1b1)
| point_equal(b1,X0)
| line_equal(a2c2,a1b1) ),
inference(instantiation,[status(thm)],[c_2620]) ).
cnf(c_3800,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,a1b1)
| ~ incident(a1,a2c2)
| ~ incident(a1,a1b1)
| line_equal(a2c2,a1b1)
| point_equal(b1,a1) ),
inference(instantiation,[status(thm)],[c_3799]) ).
cnf(c_3821,plain,
( ~ incident(c2,b2c2)
| ~ incident(c2,oc)
| ~ incident(o,b2c2)
| ~ incident(o,oc)
| line_equal(oc,b2c2)
| point_equal(c2,o) ),
inference(instantiation,[status(thm)],[c_2709]) ).
cnf(c_3860,plain,
( ~ incident(b1,a1b1)
| ~ incident(b1,ob)
| ~ incident(o,a1b1)
| ~ incident(o,ob)
| line_equal(ob,a1b1)
| point_equal(o,b1) ),
inference(instantiation,[status(thm)],[c_2737]) ).
cnf(c_3865,plain,
( ~ incident(c1,b1c1)
| ~ incident(c1,oc)
| ~ incident(b1,b1c1)
| ~ incident(b1,oc)
| line_equal(oc,b1c1)
| point_equal(c1,b1) ),
inference(instantiation,[status(thm)],[c_2751]) ).
cnf(c_3892,plain,
( ~ incident(b1,oa)
| ~ incident(b1,ob)
| ~ incident(o,oa)
| ~ incident(o,ob)
| line_equal(oa,ob)
| point_equal(o,b1) ),
inference(instantiation,[status(thm)],[c_2756]) ).
cnf(c_3923,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,b1c1)
| ~ incident(a2,a2c2)
| ~ incident(a2,b1c1)
| line_equal(a2c2,b1c1)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_2763]) ).
cnf(c_3963,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,b1c1)
| ~ incident(a2,a2c2)
| ~ incident(a2,b1c1)
| line_equal(b1c1,a2c2)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_2771]) ).
cnf(c_4006,plain,
( ~ incident(b2,b2c2)
| ~ point_equal(ab,b2)
| incident(ab,b2c2) ),
inference(instantiation,[status(thm)],[c_553]) ).
cnf(c_4028,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(c2,X1)
| line_equal(a1b1,X1)
| point_equal(c2,X0)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_53,c_98]) ).
cnf(c_4031,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(a1,X1)
| line_equal(a1b1,X1)
| point_equal(a1,X0) ),
inference(superposition,[status(thm)],[c_55,c_98]) ).
cnf(c_4032,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1b1)
| ~ incident(b1,X1)
| line_equal(a1b1,X1)
| point_equal(b1,X0) ),
inference(superposition,[status(thm)],[c_56,c_98]) ).
cnf(c_4033,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2b2)
| ~ incident(a2,X1)
| line_equal(a2b2,X1)
| point_equal(a2,X0) ),
inference(superposition,[status(thm)],[c_57,c_98]) ).
cnf(c_4034,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a2b2)
| ~ incident(b2,X1)
| line_equal(a2b2,X1)
| point_equal(b2,X0) ),
inference(superposition,[status(thm)],[c_58,c_98]) ).
cnf(c_4035,plain,
( ~ incident(X0,X1)
| ~ incident(X0,a1c1)
| ~ incident(a1,X1)
| line_equal(a1c1,X1)
| point_equal(a1,X0) ),
inference(superposition,[status(thm)],[c_59,c_98]) ).
cnf(c_4442,plain,
( ~ incident(b2,b2c2)
| ~ point_equal(o,b2)
| incident(o,b2c2) ),
inference(instantiation,[status(thm)],[c_553]) ).
cnf(c_4443,plain,
( ~ incident(b2,a2b2)
| ~ point_equal(o,b2)
| incident(o,a2b2) ),
inference(instantiation,[status(thm)],[c_539]) ).
cnf(c_4492,plain,
( ~ incident(c1,b1c1)
| ~ point_equal(o,c1)
| incident(o,b1c1) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_4493,plain,
( ~ incident(c1,a1c1)
| ~ point_equal(o,c1)
| incident(o,a1c1) ),
inference(instantiation,[status(thm)],[c_542]) ).
cnf(c_4516,plain,
( ~ incident(c2,b2c2)
| ~ point_equal(ac,c2)
| incident(ac,b2c2) ),
inference(instantiation,[status(thm)],[c_551]) ).
cnf(c_4541,plain,
( ~ incident(c2,a1b1)
| ~ point_equal(o,c2)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_2119]) ).
cnf(c_4552,plain,
( ~ incident(o,oc)
| ~ point_equal(b1,o)
| incident(b1,oc) ),
inference(instantiation,[status(thm)],[c_558]) ).
cnf(c_4554,plain,
( ~ incident(o,oa)
| ~ point_equal(b1,o)
| incident(b1,oa) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_4610,plain,
( ~ incident(ac,a1c1)
| ~ point_equal(b1,ac)
| incident(b1,a1c1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_4619,plain,
( ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| ~ incident(a2,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(a2,ab) ),
inference(instantiation,[status(thm)],[c_3212]) ).
cnf(c_4645,plain,
( ~ incident(X0,oa)
| ~ incident(X0,ob)
| ~ incident(o,oa)
| ~ incident(o,ob)
| point_equal(o,X0)
| line_equal(ob,oa) ),
inference(instantiation,[status(thm)],[c_3098]) ).
cnf(c_4646,plain,
( ~ incident(a1,oa)
| ~ incident(a1,ob)
| ~ incident(o,oa)
| ~ incident(o,ob)
| line_equal(ob,oa)
| point_equal(o,a1) ),
inference(instantiation,[status(thm)],[c_4645]) ).
cnf(c_4670,plain,
( ~ incident(X0,b2c2)
| ~ incident(X0,b1c1)
| ~ incident(bc,b2c2)
| ~ incident(bc,b1c1)
| point_equal(bc,X0)
| line_equal(b1c1,b2c2) ),
inference(instantiation,[status(thm)],[c_3116]) ).
cnf(c_4685,plain,
( ~ incident(X0,a2c2)
| ~ incident(X0,a1c1)
| ~ incident(ac,a2c2)
| ~ incident(ac,a1c1)
| point_equal(ac,X0)
| line_equal(a2c2,a1c1) ),
inference(instantiation,[status(thm)],[c_3235]) ).
cnf(c_4703,plain,
( ~ incident(X0,a2b2)
| ~ incident(X0,a1b1)
| ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| point_equal(ab,X0)
| line_equal(a2b2,a1b1) ),
inference(instantiation,[status(thm)],[c_3249]) ).
cnf(c_4725,plain,
( ~ incident(X0,ob)
| ~ line_equal(ob,a2b2)
| incident(X0,a2b2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_4728,plain,
( ~ incident(a1,ob)
| ~ line_equal(ob,a2b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_4725]) ).
cnf(c_4759,plain,
( ~ incident(X0,oc)
| ~ line_equal(oc,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_4762,plain,
( ~ incident(a1,oc)
| ~ line_equal(oc,b1c1)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_4759]) ).
cnf(c_4898,plain,
( ~ incident(b2,a2c2)
| ~ incident(a2,a2c2) ),
inference(superposition,[status(thm)],[c_62,c_118]) ).
cnf(c_4904,plain,
~ incident(b2,a2c2),
inference(forward_subsumption_resolution,[status(thm)],[c_4898,c_61]) ).
cnf(c_4937,plain,
( ~ line_equal(b1c1,oc)
| line_equal(oc,b1c1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_4955,plain,
( ~ incident(X0,a2c2)
| ~ line_equal(a2c2,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_4958,plain,
( ~ incident(a1,a2c2)
| ~ line_equal(a2c2,b1c1)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_4955]) ).
cnf(c_5154,plain,
( ~ incident(b1,oc)
| ~ incident(a1,oc) ),
inference(superposition,[status(thm)],[c_74,c_121]) ).
cnf(c_5580,plain,
( ~ incident(c1,oa)
| ~ incident(c1,oc)
| ~ incident(o,oa)
| ~ incident(o,oc)
| line_equal(oa,oc)
| point_equal(o,c1) ),
inference(instantiation,[status(thm)],[c_3068]) ).
cnf(c_5687,plain,
( ~ incident(c2,oa)
| ~ incident(c2,oc)
| ~ incident(o,oa)
| ~ incident(o,oc)
| line_equal(oa,oc)
| point_equal(o,c2) ),
inference(instantiation,[status(thm)],[c_3129]) ).
cnf(c_6083,plain,
( ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_53,c_124]) ).
cnf(c_6374,plain,
( ~ incident(a2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_52,c_6083]) ).
cnf(c_6397,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_54,c_6374]) ).
cnf(c_6413,plain,
( ~ incident(b2,oa)
| ~ incident(b2,ob)
| ~ incident(o,oa)
| ~ incident(o,ob)
| line_equal(ob,oa)
| point_equal(o,b2) ),
inference(instantiation,[status(thm)],[c_4645]) ).
cnf(c_6419,plain,
( ~ incident(bc,b2c2)
| ~ incident(bc,b1c1)
| ~ incident(b1,b2c2)
| ~ incident(b1,b1c1)
| line_equal(b1c1,b2c2)
| point_equal(bc,b1) ),
inference(instantiation,[status(thm)],[c_4670]) ).
cnf(c_6474,plain,
( ~ incident(ac,a2c2)
| ~ incident(ac,a1c1)
| ~ incident(a2,a2c2)
| ~ incident(a2,a1c1)
| line_equal(a2c2,a1c1)
| point_equal(ac,a2) ),
inference(instantiation,[status(thm)],[c_4685]) ).
cnf(c_6475,plain,
( ~ incident(ac,a2c2)
| ~ incident(ac,a1c1)
| ~ incident(c2,a2c2)
| ~ incident(c2,a1c1)
| line_equal(a2c2,a1c1)
| point_equal(ac,c2) ),
inference(instantiation,[status(thm)],[c_4685]) ).
cnf(c_6477,plain,
( ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| ~ incident(a2,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(ab,a2) ),
inference(instantiation,[status(thm)],[c_4703]) ).
cnf(c_6478,plain,
( ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| ~ incident(b2,a2b2)
| ~ incident(b2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(ab,b2) ),
inference(instantiation,[status(thm)],[c_4703]) ).
cnf(c_6554,plain,
( ~ line_equal(a1b1,a2c2)
| line_equal(a2c2,a1b1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_6569,plain,
( ~ incident(X0,a1b1)
| ~ line_equal(a1b1,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_6572,plain,
( ~ incident(a1,a1b1)
| ~ line_equal(a1b1,b1c1)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_6569]) ).
cnf(c_6579,plain,
( ~ incident(ac,a1b1)
| ~ incident(bc,a1b1) ),
inference(superposition,[status(thm)],[c_80,c_222]) ).
cnf(c_6580,plain,
( ~ incident(ac,a2b2)
| ~ incident(bc,a2b2) ),
inference(superposition,[status(thm)],[c_81,c_222]) ).
cnf(c_6697,plain,
( ~ incident(X0,a1b1)
| ~ line_equal(a1b1,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_6700,plain,
( ~ incident(a1,a1b1)
| ~ line_equal(a1b1,b2c2)
| incident(a1,b2c2) ),
inference(instantiation,[status(thm)],[c_6697]) ).
cnf(c_6769,plain,
( ~ incident(a1,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a1b1,a2b2)
| point_equal(a1,a2) ),
inference(superposition,[status(thm)],[c_57,c_4031]) ).
cnf(c_6777,plain,
( ~ incident(a1,b2c2)
| ~ incident(c2,a1b1)
| line_equal(a1b1,b2c2)
| point_equal(a1,c2) ),
inference(superposition,[status(thm)],[c_65,c_4031]) ).
cnf(c_6779,plain,
( ~ incident(a1,oa)
| ~ incident(o,a1b1)
| line_equal(a1b1,oa)
| point_equal(a1,o) ),
inference(superposition,[status(thm)],[c_67,c_4031]) ).
cnf(c_6784,plain,
( ~ incident(b1,a1b1)
| ~ incident(a1,ob)
| line_equal(a1b1,ob)
| point_equal(a1,b1) ),
inference(superposition,[status(thm)],[c_72,c_4031]) ).
cnf(c_6821,plain,
( ~ incident(a1,ob)
| line_equal(a1b1,ob)
| point_equal(a1,b1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6784,c_56]) ).
cnf(c_6837,plain,
( ~ incident(o,a1b1)
| line_equal(a1b1,oa)
| point_equal(a1,o) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6779,c_70]) ).
cnf(c_6865,plain,
( ~ incident(a1,a2b2)
| ~ incident(a2,a1b1)
| point_equal(a1,a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6769,c_105]) ).
cnf(c_7066,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7071,plain,
( ~ incident(ab,b2c2)
| ~ point_equal(a2,ab)
| incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_7083,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oa)
| ~ incident(a2,a1b1)
| ~ incident(a2,oa)
| line_equal(oa,a1b1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_869]) ).
cnf(c_7123,plain,
( ~ incident(c2,a2c2)
| ~ incident(c2,oa)
| ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| line_equal(oa,a2c2)
| point_equal(a2,c2) ),
inference(instantiation,[status(thm)],[c_2654]) ).
cnf(c_7283,plain,
( ~ line_equal(ob,oa)
| line_equal(oa,ob) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_7284,plain,
( ~ incident(X0,ob)
| ~ line_equal(ob,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7288,plain,
( ~ point_equal(b1,a2)
| point_equal(a2,b1) ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_7304,plain,
( ~ incident(X0,a1b1)
| ~ incident(X0,oa)
| ~ incident(b1,a1b1)
| ~ incident(b1,oa)
| point_equal(X0,b1)
| line_equal(oa,a1b1) ),
inference(instantiation,[status(thm)],[c_1696]) ).
cnf(c_7305,plain,
( ~ incident(b1,a1b1)
| ~ incident(b1,oa)
| ~ incident(a1,a1b1)
| ~ incident(a1,oa)
| line_equal(oa,a1b1)
| point_equal(a1,b1) ),
inference(instantiation,[status(thm)],[c_7304]) ).
cnf(c_7323,plain,
( ~ incident(a2,a2c2)
| ~ point_equal(ab,a2)
| incident(ab,a2c2) ),
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_7344,plain,
( ~ incident(a1,a1b1)
| ~ incident(c2,b2c2)
| incident(c1,a2b2)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| point_equal(c2,a1) ),
inference(superposition,[status(thm)],[c_6397,c_4028]) ).
cnf(c_7359,plain,
( ~ incident(c2,b2c2)
| ~ incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| point_equal(c2,b2) ),
inference(superposition,[status(thm)],[c_66,c_4028]) ).
cnf(c_7372,plain,
( ~ incident(ac,a1b1)
| ~ incident(c2,a2c2)
| incident(b1,a2c2)
| line_equal(a1b1,a2c2)
| point_equal(c2,ac) ),
inference(superposition,[status(thm)],[c_79,c_4028]) ).
cnf(c_7379,plain,
( ~ incident(ac,a1b1)
| incident(b1,a2c2)
| line_equal(a1b1,a2c2)
| point_equal(c2,ac) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7372,c_62]) ).
cnf(c_7438,plain,
( ~ incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| point_equal(c2,b2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7359,c_65]) ).
cnf(c_7490,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| point_equal(c2,a1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7344,c_65,c_55]) ).
cnf(c_7673,plain,
( ~ incident(X0,b1c1)
| ~ line_equal(b1c1,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7730,plain,
( ~ line_equal(a2b2,oa)
| line_equal(oa,a2b2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_7759,plain,
( ~ point_equal(o,b1)
| point_equal(b1,o) ),
inference(instantiation,[status(thm)],[c_1081]) ).
cnf(c_7774,plain,
( ~ incident(X0,a1b1)
| ~ incident(X0,oa)
| ~ incident(o,a1b1)
| ~ incident(o,oa)
| point_equal(o,X0)
| line_equal(a1b1,oa) ),
inference(instantiation,[status(thm)],[c_3098]) ).
cnf(c_7776,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oa)
| ~ incident(o,a1b1)
| ~ incident(o,oa)
| line_equal(a1b1,oa)
| point_equal(o,a1) ),
inference(instantiation,[status(thm)],[c_7774]) ).
cnf(c_7789,plain,
( ~ incident(X0,ob)
| ~ line_equal(ob,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7821,plain,
( ~ incident(X0,oc)
| ~ line_equal(oc,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7908,plain,
( ~ incident(X0,a1b1)
| ~ incident(X0,oa)
| ~ incident(o,a1b1)
| ~ incident(o,oa)
| point_equal(X0,o)
| line_equal(oa,a1b1) ),
inference(instantiation,[status(thm)],[c_2118]) ).
cnf(c_7909,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oa)
| ~ incident(o,a1b1)
| ~ incident(o,oa)
| line_equal(oa,a1b1)
| point_equal(a1,o) ),
inference(instantiation,[status(thm)],[c_7908]) ).
cnf(c_7981,plain,
( ~ incident(c2,oc)
| ~ line_equal(oc,b1c1)
| incident(c2,b1c1) ),
inference(instantiation,[status(thm)],[c_4759]) ).
cnf(c_8145,plain,
( line_equal(a1b1,ob)
| ~ incident(a1,ob) ),
inference(global_subsumption_just,[status(thm)],[c_6821,c_64,c_63,c_458,c_550,c_6821]) ).
cnf(c_8146,plain,
( ~ incident(a1,ob)
| line_equal(a1b1,ob) ),
inference(renaming,[status(thm)],[c_8145]) ).
cnf(c_8201,plain,
( ~ incident(a2,a1b1)
| ~ incident(a1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_6865,c_99,c_84,c_527,c_6865]) ).
cnf(c_8202,plain,
( ~ incident(a1,a2b2)
| ~ incident(a2,a1b1) ),
inference(renaming,[status(thm)],[c_8201]) ).
cnf(c_8222,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| point_equal(a1,c2) ),
inference(superposition,[status(thm)],[c_7490,c_91]) ).
cnf(c_8225,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,a1c1)
| line_equal(a1b1,b2c2) ),
inference(superposition,[status(thm)],[c_7490,c_1849]) ).
cnf(c_8287,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc)
| line_equal(a1b1,b2c2) ),
inference(superposition,[status(thm)],[c_8222,c_1865]) ).
cnf(c_8289,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2)
| line_equal(a1b1,b2c2) ),
inference(superposition,[status(thm)],[c_8222,c_1852]) ).
cnf(c_8814,plain,
( ~ incident(ab,a2b2)
| ~ incident(ab,a1b1)
| ~ incident(b1,a2b2)
| ~ incident(b1,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(ab,b1) ),
inference(instantiation,[status(thm)],[c_4703]) ).
cnf(c_8847,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,a1c1)
| line_equal(b2c2,a1b1) ),
inference(superposition,[status(thm)],[c_8225,c_94]) ).
cnf(c_9013,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc)
| line_equal(b2c2,a1b1) ),
inference(superposition,[status(thm)],[c_8287,c_94]) ).
cnf(c_9076,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(superposition,[status(thm)],[c_8289,c_94]) ).
cnf(c_9452,plain,
( ~ incident(b1,a2b2)
| ~ incident(b1,ob)
| ~ incident(b2,a2b2)
| ~ incident(b2,ob)
| line_equal(ob,a2b2)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_876]) ).
cnf(c_9504,plain,
( ~ point_equal(X0,o)
| ~ incident(o,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_9507,plain,
( ~ incident(o,b1c1)
| ~ point_equal(a1,o)
| incident(a1,b1c1) ),
inference(instantiation,[status(thm)],[c_9504]) ).
cnf(c_9538,plain,
( ~ incident(b1,b1c1)
| ~ incident(b1,ob)
| ~ incident(o,b1c1)
| ~ incident(o,ob)
| line_equal(b1c1,ob)
| point_equal(b1,o) ),
inference(instantiation,[status(thm)],[c_3150]) ).
cnf(c_9540,plain,
( ~ incident(c1,b1c1)
| ~ incident(c1,oc)
| ~ incident(o,b1c1)
| ~ incident(o,oc)
| line_equal(b1c1,oc)
| point_equal(o,c1) ),
inference(instantiation,[status(thm)],[c_3068]) ).
cnf(c_9561,plain,
( ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| ~ incident(o,a2c2)
| ~ incident(o,oa)
| line_equal(a2c2,oa)
| point_equal(a2,o) ),
inference(instantiation,[status(thm)],[c_2660]) ).
cnf(c_9719,plain,
( ~ line_equal(a2c2,oc)
| line_equal(oc,a2c2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_9739,plain,
( ~ incident(o,b2c2)
| ~ point_equal(a2,o)
| incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_9745,plain,
( ~ incident(o,ob)
| ~ point_equal(a2,o)
| incident(a2,ob) ),
inference(instantiation,[status(thm)],[c_556]) ).
cnf(c_9853,plain,
( ~ incident(c1,b1c1)
| ~ incident(c1,oc)
| ~ incident(c2,b1c1)
| ~ incident(c2,oc)
| line_equal(b1c1,oc)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_9859,plain,
( ~ incident(bc,b2c2)
| ~ incident(bc,b1c1)
| ~ incident(c2,b2c2)
| ~ incident(c2,b1c1)
| line_equal(b1c1,b2c2)
| point_equal(bc,c2) ),
inference(instantiation,[status(thm)],[c_4670]) ).
cnf(c_9903,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,a1c1)
| incident(b2,a1b1) ),
inference(superposition,[status(thm)],[c_8847,c_2837]) ).
cnf(c_9957,plain,
( incident(bc,a1b1)
| incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc) ),
inference(superposition,[status(thm)],[c_9013,c_2848]) ).
cnf(c_9958,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc)
| incident(b2,a1b1) ),
inference(superposition,[status(thm)],[c_9013,c_2837]) ).
cnf(c_10067,plain,
( incident(bc,a1b1)
| incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2) ),
inference(superposition,[status(thm)],[c_9076,c_2848]) ).
cnf(c_10068,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2)
| incident(b2,a1b1) ),
inference(superposition,[status(thm)],[c_9076,c_2837]) ).
cnf(c_10164,plain,
( ~ point_equal(X0,bc)
| ~ incident(bc,oc)
| incident(X0,oc) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_10394,plain,
( ~ incident(X0,a2c2)
| ~ line_equal(a2c2,a1b1)
| incident(X0,a1b1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_10467,plain,
( ~ incident(b1,ob)
| ~ line_equal(ob,a2b2)
| incident(b1,a2b2) ),
inference(instantiation,[status(thm)],[c_4725]) ).
cnf(c_10474,plain,
( ~ incident(c2,a2c2)
| ~ line_equal(a2c2,b1c1)
| incident(c2,b1c1) ),
inference(instantiation,[status(thm)],[c_4955]) ).
cnf(c_10475,plain,
( ~ incident(ac,a2c2)
| ~ line_equal(a2c2,b1c1)
| incident(ac,b1c1) ),
inference(instantiation,[status(thm)],[c_4955]) ).
cnf(c_10579,plain,
( ~ incident(ac,a2c2)
| ~ incident(ac,a1b1)
| ~ incident(b1,a2c2)
| ~ incident(b1,a1b1)
| line_equal(a1b1,a2c2)
| point_equal(b1,ac) ),
inference(instantiation,[status(thm)],[c_3200]) ).
cnf(c_10922,plain,
( ~ incident(c1,b1c1)
| ~ line_equal(b1c1,a2c2)
| incident(c1,a2c2) ),
inference(instantiation,[status(thm)],[c_7673]) ).
cnf(c_10952,plain,
( ~ incident(o,oc)
| ~ line_equal(oc,a2c2)
| incident(o,a2c2) ),
inference(instantiation,[status(thm)],[c_7821]) ).
cnf(c_10953,plain,
( ~ incident(c1,oc)
| ~ line_equal(oc,a2c2)
| incident(c1,a2c2) ),
inference(instantiation,[status(thm)],[c_7821]) ).
cnf(c_11127,plain,
( ~ incident(o,oa)
| ~ line_equal(oa,a1b1)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_7066]) ).
cnf(c_11616,plain,
( ~ line_equal(a2b2,a1b1)
| line_equal(a1b1,a2b2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_12201,plain,
( ~ line_equal(b1c1,ob)
| line_equal(ob,b1c1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_12819,plain,
( ~ incident(c2,a2c2)
| ~ point_equal(bc,c2)
| incident(bc,a2c2) ),
inference(instantiation,[status(thm)],[c_545]) ).
cnf(c_12927,plain,
( ~ incident(X0,b2c2)
| ~ line_equal(b2c2,ob)
| incident(X0,ob) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_12930,plain,
( ~ incident(a1,b2c2)
| ~ line_equal(b2c2,ob)
| incident(a1,ob) ),
inference(instantiation,[status(thm)],[c_12927]) ).
cnf(c_12963,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,a1c1)
| ~ incident(a1,a2b2)
| ~ incident(a1,a1c1)
| line_equal(a2b2,a1c1)
| point_equal(c1,a1) ),
inference(instantiation,[status(thm)],[c_2544]) ).
cnf(c_12979,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,b2c2)
| ~ incident(b2,a2b2)
| ~ incident(b2,b2c2)
| line_equal(a2b2,b2c2)
| point_equal(b2,c1) ),
inference(instantiation,[status(thm)],[c_2678]) ).
cnf(c_13085,plain,
( ~ incident(ac,a1b1)
| line_equal(a1b1,a2c2)
| point_equal(c2,ac) ),
inference(global_subsumption_just,[status(thm)],[c_7379,c_79,c_78,c_60,c_59,c_56,c_457,c_4610,c_7379,c_10579]) ).
cnf(c_13415,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_13418,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,a2c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_13415]) ).
cnf(c_13420,plain,
( ~ line_equal(a2c2,oa)
| line_equal(oa,a2c2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_13620,plain,
( ~ incident(o,oa)
| ~ point_equal(c2,o)
| incident(c2,oa) ),
inference(instantiation,[status(thm)],[c_1557]) ).
cnf(c_13728,plain,
( ~ incident(a2,oa)
| ~ line_equal(oa,a1b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_7066]) ).
cnf(c_14497,plain,
( ~ incident(b1,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a1b1,a2b2)
| point_equal(b1,a2) ),
inference(superposition,[status(thm)],[c_57,c_4032]) ).
cnf(c_14508,plain,
( ~ incident(b1,ob)
| ~ incident(o,a1b1)
| line_equal(a1b1,ob)
| point_equal(b1,o) ),
inference(superposition,[status(thm)],[c_68,c_4032]) ).
cnf(c_14513,plain,
( ~ incident(b1,ob)
| ~ incident(b2,a1b1)
| line_equal(a1b1,ob)
| point_equal(b1,b2) ),
inference(superposition,[status(thm)],[c_73,c_4032]) ).
cnf(c_14516,plain,
( ~ incident(bc,a1b1)
| ~ incident(b1,b1c1)
| line_equal(a1b1,b1c1)
| point_equal(b1,bc) ),
inference(superposition,[status(thm)],[c_76,c_4032]) ).
cnf(c_14549,plain,
( ~ incident(bc,a1b1)
| line_equal(a1b1,b1c1)
| point_equal(b1,bc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14516,c_64]) ).
cnf(c_14557,plain,
( ~ incident(b2,a1b1)
| line_equal(a1b1,ob)
| point_equal(b1,b2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14513,c_72]) ).
cnf(c_14569,plain,
( ~ incident(o,a1b1)
| line_equal(a1b1,ob)
| point_equal(b1,o) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14508,c_72]) ).
cnf(c_14597,plain,
( ~ incident(b1,a2b2)
| ~ incident(a2,a1b1)
| point_equal(b1,a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14497,c_105]) ).
cnf(c_15284,plain,
( ~ line_equal(a2c2,a1c1)
| line_equal(a1c1,a2c2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_15616,plain,
( ~ incident(ab,a2c2)
| ~ incident(ac,a2c2)
| ~ incident(bc,a2c2) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_15709,plain,
( ~ incident(bc,a1b1)
| point_equal(b1,bc) ),
inference(global_subsumption_just,[status(thm)],[c_14549,c_64,c_63,c_55,c_458,c_6572,c_14549]) ).
cnf(c_15715,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2)
| point_equal(b1,bc) ),
inference(superposition,[status(thm)],[c_10067,c_15709]) ).
cnf(c_15799,plain,
( ~ incident(b1,b1c1)
| ~ point_equal(ab,b1)
| incident(ab,b1c1) ),
inference(instantiation,[status(thm)],[c_549]) ).
cnf(c_15810,plain,
( line_equal(a1b1,ob)
| ~ incident(b2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_14557,c_99,c_73,c_72,c_56,c_85,c_1434]) ).
cnf(c_15811,plain,
( ~ incident(b2,a1b1)
| line_equal(a1b1,ob) ),
inference(renaming,[status(thm)],[c_15810]) ).
cnf(c_15816,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2)
| line_equal(a1b1,ob) ),
inference(superposition,[status(thm)],[c_10068,c_15811]) ).
cnf(c_15817,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc)
| line_equal(a1b1,ob) ),
inference(superposition,[status(thm)],[c_9958,c_15811]) ).
cnf(c_15818,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,a1c1)
| line_equal(a1b1,ob) ),
inference(superposition,[status(thm)],[c_9903,c_15811]) ).
cnf(c_15956,plain,
( ~ incident(bc,oc)
| ~ point_equal(b1,bc)
| incident(b1,oc) ),
inference(instantiation,[status(thm)],[c_10164]) ).
cnf(c_16094,plain,
( line_equal(a1b1,ob)
| ~ incident(o,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_14569,c_99,c_81,c_80,c_79,c_77,c_76,c_75,c_74,c_71,c_70,c_69,c_67,c_65,c_64,c_63,c_62,c_61,c_57,c_56,c_55,c_89,c_87,c_458,c_550,c_723,c_1021,c_1944,c_3865,c_4552,c_6477,c_6821,c_7323,c_7909,c_7981,c_9859,c_11616,c_12819,c_13728,c_14569,c_15616]) ).
cnf(c_16095,plain,
( ~ incident(o,a1b1)
| line_equal(a1b1,ob) ),
inference(renaming,[status(thm)],[c_16094]) ).
cnf(c_16303,plain,
( ~ incident(a2,a1b1)
| ~ incident(b1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_14597,c_99,c_73,c_72,c_71,c_70,c_67,c_58,c_55,c_85,c_84,c_2230,c_4728,c_7083,c_8202,c_9452,c_11127,c_16095]) ).
cnf(c_16304,plain,
( ~ incident(b1,a2b2)
| ~ incident(a2,a1b1) ),
inference(renaming,[status(thm)],[c_16303]) ).
cnf(c_16567,plain,
( ~ incident(ab,a2b2)
| ~ incident(ab,ob)
| ~ incident(b2,a2b2)
| ~ incident(b2,ob)
| line_equal(ob,a2b2)
| point_equal(ab,b2) ),
inference(instantiation,[status(thm)],[c_2794]) ).
cnf(c_16695,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| line_equal(a1b1,ob) ),
inference(global_subsumption_just,[status(thm)],[c_15816,c_99,c_81,c_80,c_79,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_58,c_57,c_56,c_89,c_86,c_54,c_455,c_460,c_889,c_1046,c_1378,c_2120,c_2250,c_3705,c_3892,c_3923,c_3963,c_4442,c_6413,c_7283,c_8146,c_8814,c_9561,c_9719,c_9739,c_9745,c_10467,c_10475,c_10922,c_10952,c_11616,c_13418,c_13420,c_15799,c_15816,c_16095]) ).
cnf(c_16704,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| line_equal(ob,a1b1) ),
inference(superposition,[status(thm)],[c_16695,c_94]) ).
cnf(c_16766,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| incident(b2,a1b1) ),
inference(superposition,[status(thm)],[c_16704,c_2844]) ).
cnf(c_16768,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| incident(o,a1b1) ),
inference(superposition,[status(thm)],[c_16704,c_2839]) ).
cnf(c_17181,plain,
( ~ incident(ab,a1b1)
| ~ line_equal(a1b1,ob)
| incident(ab,ob) ),
inference(instantiation,[status(thm)],[c_2227]) ).
cnf(c_17552,plain,
( ~ incident(a2,oa)
| ~ incident(o,a2b2)
| line_equal(a2b2,oa)
| point_equal(a2,o) ),
inference(superposition,[status(thm)],[c_67,c_4033]) ).
cnf(c_17565,plain,
( ~ incident(ab,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(a2,ab) ),
inference(superposition,[status(thm)],[c_80,c_4033]) ).
cnf(c_17585,plain,
( ~ incident(a2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(a2,ab) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17565,c_81]) ).
cnf(c_17624,plain,
( ~ incident(o,a2b2)
| line_equal(a2b2,oa)
| point_equal(a2,o) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17552,c_71]) ).
cnf(c_17835,plain,
( ~ incident(X0,b2c2)
| ~ line_equal(b2c2,oc)
| incident(X0,oc) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_17846,plain,
( ~ line_equal(oc,b2c2)
| line_equal(b2c2,oc) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_17847,plain,
( ~ incident(X0,oc)
| ~ line_equal(oc,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_18383,plain,
( ~ incident(ac,a1b1)
| ~ point_equal(o,ac)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_2119]) ).
cnf(c_18413,plain,
~ incident(a2,a1b1),
inference(global_subsumption_just,[status(thm)],[c_17585,c_99,c_81,c_80,c_73,c_72,c_71,c_70,c_67,c_66,c_65,c_58,c_57,c_55,c_89,c_84,c_455,c_4006,c_4619,c_7071,c_7083,c_10467,c_11127,c_11616,c_16095,c_16304,c_16567,c_17181]) ).
cnf(c_18460,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| line_equal(a1b1,oa)
| point_equal(a1,o) ),
inference(superposition,[status(thm)],[c_16768,c_6837]) ).
cnf(c_18581,plain,
( incident(a1,oc)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_15817,c_99,c_81,c_80,c_79,c_78,c_73,c_72,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_61,c_59,c_58,c_57,c_56,c_55,c_89,c_88,c_84,c_54,c_455,c_458,c_559,c_870,c_2154,c_2231,c_3548,c_3923,c_4006,c_4619,c_4958,c_6579,c_7071,c_7083,c_7288,c_9957,c_10467,c_11127,c_11616,c_13728,c_15284,c_16095,c_16304,c_16567,c_17181,c_18460]) ).
cnf(c_18582,plain,
( incident(c1,a2b2)
| incident(a1,oc) ),
inference(renaming,[status(thm)],[c_18581]) ).
cnf(c_18713,plain,
( incident(c1,a2b2)
| incident(c2,a1c1)
| line_equal(a1b1,ob) ),
inference(global_subsumption_just,[status(thm)],[c_15818,c_99,c_75,c_74,c_64,c_63,c_62,c_61,c_56,c_86,c_54,c_458,c_870,c_3593,c_4762,c_4937,c_9853,c_10474,c_15818,c_18413,c_18582]) ).
cnf(c_18722,plain,
( incident(c1,a2b2)
| incident(c2,a1c1)
| line_equal(ob,a1b1) ),
inference(superposition,[status(thm)],[c_18713,c_94]) ).
cnf(c_18786,plain,
( incident(c1,a2b2)
| incident(c2,a1c1)
| incident(o,a1b1) ),
inference(superposition,[status(thm)],[c_18722,c_2839]) ).
cnf(c_18940,plain,
( ~ incident(ac,a1c1)
| ~ point_equal(c2,ac)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_19331,plain,
( ~ incident(b2,ob)
| ~ line_equal(ob,a1b1)
| incident(b2,a1b1) ),
inference(instantiation,[status(thm)],[c_7789]) ).
cnf(c_19519,plain,
( ~ incident(a2,a2b2)
| ~ point_equal(ac,a2)
| incident(ac,a2b2) ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_19680,plain,
( ~ incident(c1,a2b2)
| ~ incident(b2,a1c1)
| line_equal(a2b2,a1c1)
| point_equal(b2,c1) ),
inference(superposition,[status(thm)],[c_60,c_4034]) ).
cnf(c_19691,plain,
( ~ incident(b2,oa)
| ~ incident(a2,a2b2)
| line_equal(a2b2,oa)
| point_equal(b2,a2) ),
inference(superposition,[status(thm)],[c_71,c_4034]) ).
cnf(c_19700,plain,
( ~ incident(ab,a2b2)
| ~ incident(b2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(b2,ab) ),
inference(superposition,[status(thm)],[c_80,c_4034]) ).
cnf(c_19720,plain,
( ~ incident(b2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(b2,ab) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19700,c_81]) ).
cnf(c_19743,plain,
( ~ incident(b2,oa)
| line_equal(a2b2,oa)
| point_equal(b2,a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19691,c_57]) ).
cnf(c_20477,plain,
( ~ incident(a2,a2c2)
| ~ line_equal(a2c2,a1b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_10394]) ).
cnf(c_20540,plain,
( ~ incident(b1,ob)
| ~ line_equal(ob,oa)
| incident(b1,oa) ),
inference(instantiation,[status(thm)],[c_7284]) ).
cnf(c_21921,plain,
( ~ incident(b2,a1c1)
| ~ line_equal(a1c1,oa)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_2238]) ).
cnf(c_21947,plain,
( ~ incident(c1,a1c1)
| ~ line_equal(a1c1,oa)
| incident(c1,oa) ),
inference(instantiation,[status(thm)],[c_2238]) ).
cnf(c_22084,plain,
( ~ incident(bc,b2c2)
| ~ line_equal(b2c2,oc)
| incident(bc,oc) ),
inference(instantiation,[status(thm)],[c_17835]) ).
cnf(c_22191,plain,
( ~ incident(b2,a1b1)
| point_equal(b2,ab) ),
inference(global_subsumption_just,[status(thm)],[c_19720,c_99,c_89,c_11616,c_19720]) ).
cnf(c_22198,plain,
( incident(c1,a2b2)
| incident(a1,a2c2)
| point_equal(b2,ab) ),
inference(superposition,[status(thm)],[c_16766,c_22191]) ).
cnf(c_22241,plain,
( line_equal(a2b2,oa)
| ~ incident(b2,oa) ),
inference(global_subsumption_just,[status(thm)],[c_19743,c_99,c_81,c_80,c_73,c_72,c_71,c_70,c_68,c_67,c_66,c_65,c_64,c_63,c_58,c_57,c_56,c_55,c_89,c_84,c_455,c_458,c_550,c_4006,c_4443,c_4442,c_4619,c_6413,c_7071,c_7083,c_7305,c_9739,c_10467,c_11127,c_11616,c_13728,c_16095,c_16304,c_16567,c_17181,c_17624,c_20540]) ).
cnf(c_22242,plain,
( ~ incident(b2,oa)
| line_equal(a2b2,oa) ),
inference(renaming,[status(thm)],[c_22241]) ).
cnf(c_22253,plain,
( incident(c2,a1c1)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_18786,c_99,c_79,c_78,c_77,c_75,c_74,c_65,c_64,c_63,c_62,c_61,c_59,c_56,c_55,c_88,c_86,c_54,c_458,c_698,c_870,c_904,c_2154,c_3085,c_3548,c_3593,c_4762,c_4937,c_5154,c_6374,c_6554,c_9853,c_10474,c_13085,c_15284,c_15715,c_15956,c_17846,c_18413,c_18582,c_18940,c_20477,c_22084]) ).
cnf(c_22254,plain,
( incident(c1,a2b2)
| incident(c2,a1c1) ),
inference(renaming,[status(thm)],[c_22253]) ).
cnf(c_22343,plain,
( incident(a1,a2c2)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_22198,c_99,c_81,c_80,c_79,c_78,c_77,c_66,c_65,c_62,c_58,c_89,c_88,c_461,c_4006,c_4516,c_6475,c_6478,c_11616,c_15284,c_16766,c_22254]) ).
cnf(c_22344,plain,
( incident(c1,a2b2)
| incident(a1,a2c2) ),
inference(renaming,[status(thm)],[c_22343]) ).
cnf(c_22571,plain,
( ~ incident(a1,oa)
| ~ incident(o,a1c1)
| line_equal(a1c1,oa)
| point_equal(a1,o) ),
inference(superposition,[status(thm)],[c_67,c_4035]) ).
cnf(c_22575,plain,
( ~ incident(a1,oa)
| ~ incident(a2,a1c1)
| line_equal(a1c1,oa)
| point_equal(a1,a2) ),
inference(superposition,[status(thm)],[c_71,c_4035]) ).
cnf(c_22583,plain,
( ~ incident(ac,a1c1)
| ~ incident(a1,a2c2)
| line_equal(a1c1,a2c2)
| point_equal(a1,ac) ),
inference(superposition,[status(thm)],[c_79,c_4035]) ).
cnf(c_22601,plain,
( ~ incident(a1,a2c2)
| point_equal(a1,ac) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22583,c_107,c_78]) ).
cnf(c_22620,plain,
( ~ incident(a2,a1c1)
| line_equal(a1c1,oa)
| point_equal(a1,a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22575,c_70]) ).
cnf(c_22632,plain,
( ~ incident(o,a1c1)
| line_equal(a1c1,oa)
| point_equal(a1,o) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22571,c_70]) ).
cnf(c_22885,plain,
( line_equal(a1c1,oa)
| ~ incident(a2,a1c1) ),
inference(global_subsumption_just,[status(thm)],[c_22620,c_99,c_71,c_70,c_59,c_84,c_1528]) ).
cnf(c_22886,plain,
( ~ incident(a2,a1c1)
| line_equal(a1c1,oa) ),
inference(renaming,[status(thm)],[c_22885]) ).
cnf(c_23316,plain,
( ~ incident(c1,oc)
| ~ line_equal(oc,b2c2)
| incident(c1,b2c2) ),
inference(instantiation,[status(thm)],[c_17847]) ).
cnf(c_24020,plain,
( ~ point_equal(X0,b2)
| ~ incident(b2,a2b2)
| incident(X0,a2b2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_24022,plain,
( ~ point_equal(X0,c1)
| ~ incident(c1,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_24024,plain,
( ~ point_equal(X0,c2)
| ~ incident(c2,a2c2)
| incident(X0,a2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_24025,plain,
( ~ point_equal(X0,c1)
| ~ incident(c1,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_24027,plain,
( ~ point_equal(X0,c2)
| ~ incident(c2,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_24045,plain,
( ~ incident(b1,X0)
| ~ incident(b1,X1)
| ~ incident(b2,X0)
| ~ incident(b2,X1)
| line_equal(X0,X1)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_24046,plain,
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(c2,X0)
| ~ incident(c2,X1)
| line_equal(X0,X1)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_24152,plain,
( ~ point_equal(X0,X1)
| ~ point_equal(b2,X0)
| point_equal(b2,X1) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_24153,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b2,X1)
| ~ incident(b2,X2)
| line_equal(X1,X2)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_24169,plain,
( ~ incident(X0,X1)
| ~ incident(X0,X2)
| ~ incident(b2,X1)
| ~ incident(b2,X2)
| line_equal(X1,X2)
| point_equal(X0,b2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_24274,plain,
( ~ point_equal(X0,X1)
| ~ point_equal(X1,ac)
| point_equal(X0,ac) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_24299,plain,
( ~ incident(b1,X0)
| ~ incident(b2,X0)
| ~ incident(b1,ob)
| ~ incident(b2,ob)
| line_equal(X0,ob)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_24045]) ).
cnf(c_24310,plain,
( ~ incident(c1,X0)
| ~ incident(c2,X0)
| ~ incident(c1,a1c1)
| ~ incident(c2,a1c1)
| line_equal(X0,a1c1)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_24046]) ).
cnf(c_24597,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(b2,X1)
| ~ incident(b2,b2c2)
| line_equal(X1,b2c2)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_24153]) ).
cnf(c_24642,plain,
( ~ incident(X0,X1)
| ~ incident(X0,b2c2)
| ~ incident(b2,X1)
| ~ incident(b2,b2c2)
| line_equal(X1,b2c2)
| point_equal(X0,b2) ),
inference(instantiation,[status(thm)],[c_24169]) ).
cnf(c_24994,plain,
( ~ incident(bc,X0)
| ~ incident(b2,X0)
| ~ incident(bc,b2c2)
| ~ incident(b2,b2c2)
| line_equal(X0,b2c2)
| point_equal(b2,bc) ),
inference(instantiation,[status(thm)],[c_24597]) ).
cnf(c_25094,plain,
( ~ incident(bc,X0)
| ~ incident(b2,X0)
| ~ incident(bc,b2c2)
| ~ incident(b2,b2c2)
| line_equal(X0,b2c2)
| point_equal(bc,b2) ),
inference(instantiation,[status(thm)],[c_24642]) ).
cnf(c_25609,plain,
( ~ incident(bc,b2c2)
| ~ incident(bc,b1c1)
| ~ incident(b2,b2c2)
| ~ incident(b2,b1c1)
| line_equal(b1c1,b2c2)
| point_equal(b2,bc) ),
inference(instantiation,[status(thm)],[c_24994]) ).
cnf(c_25826,plain,
( ~ incident(bc,b2c2)
| ~ incident(bc,b1c1)
| ~ incident(b2,b2c2)
| ~ incident(b2,b1c1)
| line_equal(b1c1,b2c2)
| point_equal(bc,b2) ),
inference(instantiation,[status(thm)],[c_25094]) ).
cnf(c_26176,plain,
( ~ incident(X0,a2b2)
| ~ line_equal(a2b2,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_26745,plain,
( ~ incident(X0,a2b2)
| ~ line_equal(a2b2,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_26793,plain,
( ~ incident(c1,b1c1)
| ~ point_equal(b2,c1)
| incident(b2,b1c1) ),
inference(instantiation,[status(thm)],[c_24025]) ).
cnf(c_26794,plain,
( ~ incident(c1,a1c1)
| ~ point_equal(b2,c1)
| incident(b2,a1c1) ),
inference(instantiation,[status(thm)],[c_24022]) ).
cnf(c_27220,plain,
( ~ incident(b1,b1c1)
| ~ incident(b1,ob)
| ~ incident(b2,b1c1)
| ~ incident(b2,ob)
| line_equal(b1c1,ob)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_24299]) ).
cnf(c_27248,plain,
( ~ point_equal(bc,X0)
| ~ point_equal(b2,bc)
| point_equal(b2,X0) ),
inference(instantiation,[status(thm)],[c_24152]) ).
cnf(c_27260,plain,
( ~ incident(b2,a2b2)
| ~ point_equal(bc,b2)
| incident(bc,a2b2) ),
inference(instantiation,[status(thm)],[c_24020]) ).
cnf(c_27341,plain,
( ~ incident(X0,ob)
| ~ line_equal(ob,b1c1)
| incident(X0,b1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_27541,plain,
( ~ incident(a2,a2b2)
| ~ line_equal(a2b2,b2c2)
| incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_26176]) ).
cnf(c_28436,plain,
( ~ incident(o,ob)
| ~ line_equal(ob,b1c1)
| incident(o,b1c1) ),
inference(instantiation,[status(thm)],[c_27341]) ).
cnf(c_28438,plain,
( ~ incident(b2,ob)
| ~ line_equal(ob,b1c1)
| incident(b2,b1c1) ),
inference(instantiation,[status(thm)],[c_27341]) ).
cnf(c_28915,plain,
( ~ incident(X0,a1b1)
| ~ line_equal(a1b1,b2c2)
| incident(X0,b2c2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_29303,plain,
( ~ incident(b1,a1b1)
| ~ line_equal(a1b1,b2c2)
| incident(b1,b2c2) ),
inference(instantiation,[status(thm)],[c_28915]) ).
cnf(c_29571,plain,
( ~ incident(c2,a2c2)
| ~ point_equal(b2,c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_24024]) ).
cnf(c_29609,plain,
( ~ incident(X0,a2c2)
| ~ line_equal(a2c2,oa)
| incident(X0,oa) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_29696,plain,
( ~ incident(c2,b2c2)
| ~ point_equal(a2,c2)
| incident(a2,b2c2) ),
inference(instantiation,[status(thm)],[c_24027]) ).
cnf(c_29960,plain,
( ~ incident(X0,oc)
| ~ line_equal(oc,a1c1)
| incident(X0,a1c1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_30084,plain,
( ~ incident(b2,a2b2)
| ~ point_equal(c2,b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_24020]) ).
cnf(c_30257,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,oc)
| incident(X0,oc) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_30528,plain,
( ~ point_equal(bc,c2)
| ~ point_equal(b2,bc)
| point_equal(b2,c2) ),
inference(instantiation,[status(thm)],[c_27248]) ).
cnf(c_31882,plain,
( ~ incident(c1,a2c2)
| ~ incident(c1,a1c1)
| ~ incident(c2,a2c2)
| ~ incident(c2,a1c1)
| line_equal(a2c2,a1c1)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_24310]) ).
cnf(c_32407,plain,
( ~ point_equal(X0,ac)
| ~ point_equal(o,X0)
| point_equal(o,ac) ),
inference(instantiation,[status(thm)],[c_24274]) ).
cnf(c_32410,plain,
( ~ point_equal(a1,ac)
| ~ point_equal(o,a1)
| point_equal(o,ac) ),
inference(instantiation,[status(thm)],[c_32407]) ).
cnf(c_34243,plain,
( ~ incident(a2,oa)
| ~ line_equal(oa,oc)
| incident(a2,oc) ),
inference(instantiation,[status(thm)],[c_30257]) ).
cnf(c_35057,plain,
( ~ incident(c2,oc)
| ~ line_equal(oc,a1c1)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_29960]) ).
cnf(c_35063,plain,
( ~ incident(c2,a2c2)
| ~ line_equal(a2c2,oa)
| incident(c2,oa) ),
inference(instantiation,[status(thm)],[c_29609]) ).
cnf(c_36069,plain,
( ~ incident(a2,a2b2)
| ~ line_equal(a2b2,a1c1)
| incident(a2,a1c1) ),
inference(instantiation,[status(thm)],[c_26745]) ).
cnf(c_36495,plain,
( ~ incident(X0,oa)
| ~ line_equal(oa,a2b2)
| incident(X0,a2b2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_36498,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,a2b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_36495]) ).
cnf(c_36829,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36498,c_36069,c_35063,c_35057,c_34243,c_32410,c_31882,c_30528,c_30084,c_29696,c_29571,c_29303,c_28438,c_28436,c_27541,c_27260,c_27220,c_26793,c_26794,c_25826,c_25609,c_23316,c_22886,c_22632,c_22601,c_22344,c_22242,c_21947,c_21921,c_20540,c_20477,c_19680,c_19519,c_19331,c_18413,c_18383,c_15284,c_13728,c_13620,c_13418,c_12979,c_12963,c_12930,c_12201,c_10953,c_9859,c_9538,c_9540,c_9507,c_7981,c_7776,c_7759,c_7730,c_7438,c_7305,c_7123,c_6777,c_6700,c_6579,c_6580,c_6474,c_6419,c_5687,c_5580,c_4937,c_4904,c_4646,c_4554,c_4541,c_4492,c_4493,c_3860,c_3821,c_3800,c_3665,c_3548,c_3049,c_2245,c_2231,c_2154,c_2116,c_1364,c_1340,c_1016,c_723,c_722,c_703,c_550,c_548,c_546,c_458,c_455,c_454,c_50,c_52,c_53,c_84,c_85,c_86,c_87,c_88,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73,c_74,c_75,c_76,c_77,c_78,c_79,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 01:44:28 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.85/1.70 % SZS status Started for theBenchmark.p
% 6.85/1.70 % SZS status Theorem for theBenchmark.p
% 6.85/1.70
% 6.85/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.85/1.70
% 6.85/1.70 ------ iProver source info
% 6.85/1.70
% 6.85/1.70 git: date: 2024-05-02 19:28:25 +0000
% 6.85/1.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.85/1.70 git: non_committed_changes: false
% 6.85/1.70
% 6.85/1.70 ------ Parsing...
% 6.85/1.70 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 6.85/1.70
% 6.85/1.70 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 6.85/1.70 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.85/1.70 ------ Proving...
% 6.85/1.70 ------ Problem Properties
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70 clauses 50
% 6.85/1.70 conjectures 0
% 6.85/1.70 EPR 50
% 6.85/1.70 Horn 46
% 6.85/1.70 unary 33
% 6.85/1.70 binary 7
% 6.85/1.70 lits 80
% 6.85/1.70 lits eq 0
% 6.85/1.70 fd_pure 0
% 6.85/1.70 fd_pseudo 0
% 6.85/1.70 fd_cond 0
% 6.85/1.70 fd_pseudo_cond 0
% 6.85/1.70 AC symbols 0
% 6.85/1.70
% 6.85/1.70 ------ Schedule EPR non Horn non eq is on
% 6.85/1.70
% 6.85/1.70 ------ no conjectures: strip conj schedule
% 6.85/1.70
% 6.85/1.70 ------ no equalities: superposition off
% 6.85/1.70
% 6.85/1.70 ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70 ------
% 6.85/1.70 Current options:
% 6.85/1.70 ------
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70 ------ Proving...
% 6.85/1.70
% 6.85/1.70
% 6.85/1.70 % SZS status Theorem for theBenchmark.p
% 6.85/1.70
% 6.85/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.85/1.71
% 6.85/1.71
%------------------------------------------------------------------------------