TSTP Solution File: GEO169+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:09:46 EDT 2023
% Result : Theorem 4.32s 1.17s
% Output : CNFRefutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 49
% Syntax : Number of formulae : 765 ( 125 unt; 0 def)
% Number of atoms : 2294 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 2728 (1199 ~;1494 |; 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 : 482 ( 3 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(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(f47,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& line_equal(X0,X1) )
=> line_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(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(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(f76,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f77,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(flattening,[],[f76]) ).
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(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(f130,plain,
! [X2,X0,X1] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
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_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_95,plain,
( ~ line_equal(X0,X1)
| ~ line_equal(X1,X2)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
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_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_125,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_99,c_50]) ).
cnf(c_126,plain,
( ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(renaming,[status(thm)],[c_125]) ).
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(ab,X0_14)
| ~ incident(ac,X0_14)
| ~ incident(bc,X0_14) ),
inference(subtyping,[status(esa)],[c_222]) ).
cnf(c_456,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(subtyping,[status(esa)],[c_124]) ).
cnf(c_457,plain,
( ~ incident(c1,X0_14)
| ~ incident(b1,X0_14)
| ~ incident(a1,X0_14) ),
inference(subtyping,[status(esa)],[c_121]) ).
cnf(c_458,plain,
( ~ incident(c2,X0_14)
| ~ incident(b2,X0_14)
| ~ incident(a2,X0_14) ),
inference(subtyping,[status(esa)],[c_118]) ).
cnf(c_465,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(X1_13,X0_14)
| ~ incident(X1_13,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_98]) ).
cnf(c_466,plain,
( ~ incident(X0_13,X0_14)
| ~ line_equal(X0_14,X1_14)
| incident(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_97]) ).
cnf(c_467,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(X1_13,X0_13)
| incident(X1_13,X0_14) ),
inference(subtyping,[status(esa)],[c_96]) ).
cnf(c_468,plain,
( ~ line_equal(X0_14,X1_14)
| ~ line_equal(X2_14,X0_14)
| line_equal(X2_14,X1_14) ),
inference(subtyping,[status(esa)],[c_95]) ).
cnf(c_469,plain,
( ~ line_equal(X0_14,X1_14)
| line_equal(X1_14,X0_14) ),
inference(subtyping,[status(esa)],[c_94]) ).
cnf(c_470,plain,
( ~ incident(X0_13,X0_14)
| line_equal(X0_14,X0_14) ),
inference(subtyping,[status(esa)],[c_93]) ).
cnf(c_472,plain,
( ~ point_equal(X0_13,X1_13)
| point_equal(X1_13,X0_13) ),
inference(subtyping,[status(esa)],[c_91]) ).
cnf(c_474,plain,
incident(ab,a2b2),
inference(subtyping,[status(esa)],[c_81]) ).
cnf(c_475,plain,
incident(ab,a1b1),
inference(subtyping,[status(esa)],[c_80]) ).
cnf(c_476,plain,
incident(ac,a2c2),
inference(subtyping,[status(esa)],[c_79]) ).
cnf(c_477,plain,
incident(ac,a1c1),
inference(subtyping,[status(esa)],[c_78]) ).
cnf(c_478,plain,
incident(bc,b2c2),
inference(subtyping,[status(esa)],[c_77]) ).
cnf(c_479,plain,
incident(bc,b1c1),
inference(subtyping,[status(esa)],[c_76]) ).
cnf(c_480,plain,
incident(c2,oc),
inference(subtyping,[status(esa)],[c_75]) ).
cnf(c_481,plain,
incident(c1,oc),
inference(subtyping,[status(esa)],[c_74]) ).
cnf(c_482,plain,
incident(b2,ob),
inference(subtyping,[status(esa)],[c_73]) ).
cnf(c_483,plain,
incident(b1,ob),
inference(subtyping,[status(esa)],[c_72]) ).
cnf(c_484,plain,
incident(a2,oa),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_485,plain,
incident(a1,oa),
inference(subtyping,[status(esa)],[c_70]) ).
cnf(c_486,plain,
incident(o,oc),
inference(subtyping,[status(esa)],[c_69]) ).
cnf(c_487,plain,
incident(o,ob),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_488,plain,
incident(o,oa),
inference(subtyping,[status(esa)],[c_67]) ).
cnf(c_489,plain,
incident(b2,b2c2),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_490,plain,
incident(c2,b2c2),
inference(subtyping,[status(esa)],[c_65]) ).
cnf(c_491,plain,
incident(b1,b1c1),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_492,plain,
incident(c1,b1c1),
inference(subtyping,[status(esa)],[c_63]) ).
cnf(c_493,plain,
incident(c2,a2c2),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_494,plain,
incident(a2,a2c2),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_495,plain,
incident(c1,a1c1),
inference(subtyping,[status(esa)],[c_60]) ).
cnf(c_496,plain,
incident(a1,a1c1),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_497,plain,
incident(b2,a2b2),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_498,plain,
incident(a2,a2b2),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_499,plain,
incident(b1,a1b1),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_500,plain,
incident(a1,a1b1),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_501,plain,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_502,plain,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_503,plain,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_507,plain,
( ~ incident(c1,a1b1)
| ~ incident(b1,a1b1)
| ~ incident(a1,a1b1) ),
inference(instantiation,[status(thm)],[c_457]) ).
cnf(c_508,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1b1)
| ~ incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_458]) ).
cnf(c_510,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(c1,X0_14)
| incident(c1,X1_14) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_511,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(a2,X0_14)
| incident(a2,X1_14) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_514,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(c1,X0_13)
| incident(c1,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_515,plain,
( ~ incident(a1,a1b1)
| ~ point_equal(c1,a1)
| incident(c1,a1b1) ),
inference(instantiation,[status(thm)],[c_514]) ).
cnf(c_523,plain,
( ~ incident(a1,X0_14)
| ~ incident(a1,X1_14)
| ~ incident(a2,X0_14)
| ~ incident(a2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_525,plain,
( ~ point_equal(a1,a2)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_527,plain,
( ~ incident(b1,X0_14)
| ~ incident(b1,X1_14)
| ~ incident(b2,X0_14)
| ~ incident(b2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_529,plain,
( ~ point_equal(b1,b2)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_532,plain,
( ~ incident(c1,X0_14)
| ~ incident(c1,X1_14)
| ~ incident(c2,X0_14)
| ~ incident(c2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_534,plain,
( ~ point_equal(c1,c2)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_542,plain,
( ~ line_equal(a2c2,a1c1)
| line_equal(a1c1,a2c2) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_544,plain,
( ~ line_equal(a2b2,a1b1)
| line_equal(a1b1,a2b2) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_550,plain,
( ~ incident(c2,a2c2)
| ~ incident(b2,a2c2)
| ~ incident(a2,a2c2) ),
inference(instantiation,[status(thm)],[c_458]) ).
cnf(c_551,plain,
( ~ incident(c1,a1c1)
| ~ incident(b1,a1c1)
| ~ incident(a1,a1c1) ),
inference(instantiation,[status(thm)],[c_457]) ).
cnf(c_552,plain,
( ~ incident(c2,a2b2)
| ~ incident(b2,a2b2)
| ~ incident(a2,a2b2) ),
inference(instantiation,[status(thm)],[c_458]) ).
cnf(c_560,plain,
( ~ line_equal(a1c1,X0_14)
| ~ incident(c1,a1c1)
| incident(c1,X0_14) ),
inference(instantiation,[status(thm)],[c_510]) ).
cnf(c_561,plain,
( ~ incident(c1,a1c1)
| ~ line_equal(a1c1,a1b1)
| incident(c1,a1b1) ),
inference(instantiation,[status(thm)],[c_560]) ).
cnf(c_564,plain,
( ~ line_equal(oc,X0_14)
| ~ incident(c1,oc)
| incident(c1,X0_14) ),
inference(instantiation,[status(thm)],[c_510]) ).
cnf(c_565,plain,
( ~ incident(c1,oc)
| ~ line_equal(oc,a1b1)
| incident(c1,a1b1) ),
inference(instantiation,[status(thm)],[c_564]) ).
cnf(c_574,plain,
( ~ line_equal(oa,X0_14)
| ~ incident(a2,oa)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_511]) ).
cnf(c_575,plain,
( ~ incident(a2,oa)
| ~ line_equal(oa,a1b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_584,plain,
( ~ point_equal(X0_13,c1)
| point_equal(c1,X0_13) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_585,plain,
( ~ point_equal(a1,c1)
| point_equal(c1,a1) ),
inference(instantiation,[status(thm)],[c_584]) ).
cnf(c_602,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,a1c1)
| ~ incident(a2,a2c2)
| ~ incident(a2,a1c1)
| line_equal(a1c1,a2c2)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_604,plain,
( ~ incident(a1,X0_14)
| ~ incident(a2,X0_14)
| ~ incident(a1,a1c1)
| ~ incident(a2,a1c1)
| line_equal(X0_14,a1c1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_605,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,a1c1)
| ~ incident(a2,a1b1)
| ~ incident(a2,a1c1)
| line_equal(a1b1,a1c1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_604]) ).
cnf(c_610,plain,
( ~ incident(b1,b2c2)
| ~ incident(b1,b1c1)
| ~ incident(b2,b2c2)
| ~ incident(b2,b1c1)
| line_equal(b1c1,b2c2)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_620,plain,
( ~ incident(c1,a2c2)
| ~ incident(c1,a1c1)
| ~ incident(c2,a2c2)
| ~ incident(c2,a1c1)
| line_equal(a1c1,a2c2)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_532]) ).
cnf(c_646,plain,
( ~ line_equal(X0_14,a1c1)
| line_equal(a1c1,X0_14) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_647,plain,
( ~ line_equal(a1b1,a1c1)
| line_equal(a1c1,a1b1) ),
inference(instantiation,[status(thm)],[c_646]) ).
cnf(c_679,plain,
( ~ incident(a1,a2b2)
| ~ incident(a1,a1b1)
| ~ incident(a2,a2b2)
| ~ incident(a2,a1b1)
| line_equal(a2b2,a1b1)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_688,plain,
( ~ incident(X0_13,b1c1)
| ~ point_equal(ac,X0_13)
| incident(ac,b1c1) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_692,plain,
( ~ incident(X0_13,oc)
| ~ point_equal(a1,X0_13)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_693,plain,
( ~ incident(b2,X0_14)
| ~ line_equal(X0_14,oa)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_700,plain,
( ~ incident(b2,X0_14)
| ~ line_equal(X0_14,a2c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_701,plain,
( ~ incident(b2,a1b1)
| ~ line_equal(a1b1,a2c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_702,plain,
( ~ incident(X0_13,a2c2)
| ~ point_equal(b2,X0_13)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_706,plain,
( ~ incident(X0_13,a1c1)
| ~ point_equal(b1,X0_13)
| incident(b1,a1c1) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_707,plain,
( ~ incident(a1,a1c1)
| ~ point_equal(b1,a1)
| incident(b1,a1c1) ),
inference(instantiation,[status(thm)],[c_706]) ).
cnf(c_708,plain,
( ~ incident(c2,X0_14)
| ~ line_equal(X0_14,a2b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_709,plain,
( ~ incident(X0_13,a2b2)
| ~ point_equal(c2,X0_13)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_713,plain,
( ~ incident(X0_13,b1c1)
| ~ point_equal(b2,X0_13)
| incident(b2,b1c1) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_728,plain,
( ~ line_equal(X0_14,b2c2)
| line_equal(b2c2,X0_14) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_729,plain,
( ~ line_equal(a1b1,b2c2)
| line_equal(b2c2,a1b1) ),
inference(instantiation,[status(thm)],[c_728]) ).
cnf(c_750,plain,
( ~ line_equal(X0_14,oc)
| line_equal(oc,X0_14) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_751,plain,
( ~ line_equal(a1b1,oc)
| line_equal(oc,a1b1) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_802,plain,
( ~ line_equal(X0_14,a2c2)
| line_equal(a2c2,X0_14) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_803,plain,
( ~ line_equal(a1b1,a2c2)
| line_equal(a2c2,a1b1) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_807,plain,
( ~ incident(a1,X0_14)
| ~ incident(a2,X0_14)
| ~ incident(a1,oa)
| ~ incident(a2,oa)
| line_equal(oa,X0_14)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_808,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_807]) ).
cnf(c_915,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(b2,X0_13)
| incident(b2,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_916,plain,
( ~ incident(a1,a1b1)
| ~ point_equal(b2,a1)
| incident(b2,a1b1) ),
inference(instantiation,[status(thm)],[c_915]) ).
cnf(c_918,plain,
( ~ point_equal(b2,X0_13)
| point_equal(X0_13,b2) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_919,plain,
( ~ point_equal(b2,a1)
| point_equal(a1,b2) ),
inference(instantiation,[status(thm)],[c_918]) ).
cnf(c_930,plain,
( ~ incident(c2,X0_14)
| ~ line_equal(X0_14,a1c1)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_952,plain,
( ~ line_equal(a2c2,X0_14)
| incident(a2,X0_14) ),
inference(superposition,[status(thm)],[c_494,c_466]) ).
cnf(c_953,plain,
( ~ line_equal(a2c2,X0_14)
| incident(c2,X0_14) ),
inference(superposition,[status(thm)],[c_493,c_466]) ).
cnf(c_956,plain,
( ~ line_equal(b2c2,X0_14)
| incident(c2,X0_14) ),
inference(superposition,[status(thm)],[c_490,c_466]) ).
cnf(c_957,plain,
( ~ line_equal(b2c2,X0_14)
| incident(b2,X0_14) ),
inference(superposition,[status(thm)],[c_489,c_466]) ).
cnf(c_958,plain,
( ~ line_equal(oa,X0_14)
| incident(o,X0_14) ),
inference(superposition,[status(thm)],[c_488,c_466]) ).
cnf(c_959,plain,
( ~ line_equal(ob,X0_14)
| incident(o,X0_14) ),
inference(superposition,[status(thm)],[c_487,c_466]) ).
cnf(c_961,plain,
( ~ line_equal(oa,X0_14)
| incident(a1,X0_14) ),
inference(superposition,[status(thm)],[c_485,c_466]) ).
cnf(c_962,plain,
( ~ line_equal(oa,X0_14)
| incident(a2,X0_14) ),
inference(superposition,[status(thm)],[c_484,c_466]) ).
cnf(c_964,plain,
( ~ line_equal(ob,X0_14)
| incident(b2,X0_14) ),
inference(superposition,[status(thm)],[c_482,c_466]) ).
cnf(c_968,plain,
( ~ line_equal(b2c2,X0_14)
| incident(bc,X0_14) ),
inference(superposition,[status(thm)],[c_478,c_466]) ).
cnf(c_975,plain,
( ~ line_equal(b2c2,a1b1)
| incident(bc,a1b1) ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_979,plain,
( ~ line_equal(ob,a1b1)
| incident(b2,a1b1) ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_980,plain,
( ~ line_equal(oa,a1b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_962]) ).
cnf(c_982,plain,
( ~ line_equal(ob,a1b1)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_983,plain,
( ~ line_equal(oa,a1b1)
| incident(o,a1b1) ),
inference(instantiation,[status(thm)],[c_958]) ).
cnf(c_984,plain,
( ~ line_equal(b2c2,a1b1)
| incident(b2,a1b1) ),
inference(instantiation,[status(thm)],[c_957]) ).
cnf(c_985,plain,
( ~ line_equal(b2c2,a1b1)
| incident(c2,a1b1) ),
inference(instantiation,[status(thm)],[c_956]) ).
cnf(c_987,plain,
( ~ line_equal(a2c2,a1b1)
| incident(c2,a1b1) ),
inference(instantiation,[status(thm)],[c_953]) ).
cnf(c_988,plain,
( ~ line_equal(a2c2,a1b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_952]) ).
cnf(c_994,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(c2,X0_14)
| ~ incident(c2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(X0_13,c2) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_995,plain,
( ~ point_equal(c2,X0_13)
| point_equal(X0_13,c2) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_996,plain,
( ~ point_equal(c2,a1)
| point_equal(a1,c2) ),
inference(instantiation,[status(thm)],[c_995]) ).
cnf(c_1045,plain,
( ~ incident(X0_13,a2b2)
| ~ point_equal(b1,X0_13)
| incident(b1,a2b2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_1084,plain,
( ~ point_equal(X0_13,b1)
| point_equal(b1,X0_13) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_1085,plain,
( ~ point_equal(a1,b1)
| point_equal(b1,a1) ),
inference(instantiation,[status(thm)],[c_1084]) ).
cnf(c_1103,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(ac,X0_13)
| incident(ac,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_1104,plain,
( ~ incident(a1,a1b1)
| ~ point_equal(ac,a1)
| incident(ac,a1b1) ),
inference(instantiation,[status(thm)],[c_1103]) ).
cnf(c_1115,plain,
( ~ incident(c1,b1c1)
| ~ point_equal(ac,c1)
| incident(ac,b1c1) ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_1122,plain,
( ~ incident(a1,X0_14)
| ~ incident(a2,X0_14)
| ~ incident(a1,oc)
| ~ incident(a2,oc)
| line_equal(X0_14,oc)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_1132,plain,
( ~ incident(c2,oc)
| ~ point_equal(a1,c2)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_1135,plain,
( ~ incident(b2,a2b2)
| ~ line_equal(a2b2,oa)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_693]) ).
cnf(c_1156,plain,
( ~ incident(b2,a2b2)
| ~ line_equal(a2b2,a2c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1157,plain,
( ~ incident(b2,b2c2)
| ~ line_equal(b2c2,a2c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1158,plain,
( ~ incident(b2,ob)
| ~ line_equal(ob,a2c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_700]) ).
cnf(c_1162,plain,
( ~ incident(a2,a2c2)
| ~ point_equal(b2,a2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_702]) ).
cnf(c_1163,plain,
( ~ incident(c2,a2c2)
| ~ point_equal(b2,c2)
| incident(b2,a2c2) ),
inference(instantiation,[status(thm)],[c_702]) ).
cnf(c_1165,plain,
( ~ incident(X0_13,X0_14)
| ~ line_equal(X0_14,a2c2)
| incident(X0_13,a2c2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_1166,plain,
( ~ incident(a1,a1b1)
| ~ line_equal(a1b1,a2c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_1165]) ).
cnf(c_1178,plain,
( ~ incident(c2,a2c2)
| ~ line_equal(a2c2,a2b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_1179,plain,
( ~ incident(c2,b2c2)
| ~ line_equal(b2c2,a2b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_1180,plain,
( ~ incident(c2,oc)
| ~ line_equal(oc,a2b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_1183,plain,
( ~ incident(a2,a2b2)
| ~ point_equal(c2,a2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_709]) ).
cnf(c_1184,plain,
( ~ incident(b2,a2b2)
| ~ point_equal(c2,b2)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_709]) ).
cnf(c_1194,plain,
( ~ incident(c1,b1c1)
| ~ point_equal(b2,c1)
| incident(b2,b1c1) ),
inference(instantiation,[status(thm)],[c_713]) ).
cnf(c_1205,plain,
( ~ point_equal(X0_13,b2)
| incident(X0_13,a2b2) ),
inference(superposition,[status(thm)],[c_497,c_467]) ).
cnf(c_1209,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,a2c2) ),
inference(superposition,[status(thm)],[c_493,c_467]) ).
cnf(c_1213,plain,
( ~ point_equal(X0_13,b2)
| incident(X0_13,b2c2) ),
inference(superposition,[status(thm)],[c_489,c_467]) ).
cnf(c_1215,plain,
( ~ point_equal(X0_13,o)
| incident(X0_13,ob) ),
inference(superposition,[status(thm)],[c_487,c_467]) ).
cnf(c_1216,plain,
( ~ point_equal(X0_13,o)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_486,c_467]) ).
cnf(c_1222,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_480,c_467]) ).
cnf(c_1233,plain,
( ~ point_equal(a1,c2)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_1222]) ).
cnf(c_1237,plain,
( ~ point_equal(a1,o)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_1238,plain,
( ~ point_equal(a1,o)
| incident(a1,ob) ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_1239,plain,
( ~ point_equal(a1,b2)
| incident(a1,b2c2) ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_1243,plain,
( ~ point_equal(a1,c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_1209]) ).
cnf(c_1245,plain,
( ~ point_equal(a1,b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_1205]) ).
cnf(c_1359,plain,
( ~ line_equal(a2c2,X0_14)
| line_equal(X0_14,a2c2) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_1360,plain,
( ~ line_equal(a2c2,a1b1)
| line_equal(a1b1,a2c2) ),
inference(instantiation,[status(thm)],[c_1359]) ).
cnf(c_1657,plain,
( ~ incident(c2,b2c2)
| ~ line_equal(b2c2,a1c1)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_930]) ).
cnf(c_1658,plain,
( ~ incident(c2,oc)
| ~ line_equal(oc,a1c1)
| incident(c2,a1c1) ),
inference(instantiation,[status(thm)],[c_930]) ).
cnf(c_1738,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(c2,X0_14)
| ~ incident(c2,b2c2)
| line_equal(X0_14,b2c2)
| point_equal(X0_13,c2) ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_1739,plain,
( ~ incident(a1,b2c2)
| ~ incident(a1,a1b1)
| ~ incident(c2,b2c2)
| ~ incident(c2,a1b1)
| line_equal(a1b1,b2c2)
| point_equal(a1,c2) ),
inference(instantiation,[status(thm)],[c_1738]) ).
cnf(c_1740,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oc)
| ~ incident(c2,X0_14)
| ~ incident(c2,oc)
| line_equal(X0_14,oc)
| point_equal(X0_13,c2) ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_1741,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oc)
| ~ incident(c2,a1b1)
| ~ incident(c2,oc)
| line_equal(a1b1,oc)
| point_equal(a1,c2) ),
inference(instantiation,[status(thm)],[c_1740]) ).
cnf(c_1776,plain,
( ~ incident(a2,a2b2)
| ~ point_equal(b1,a2)
| incident(b1,a2b2) ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1960,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(b2,X0_14)
| line_equal(X0_14,a1c1)
| point_equal(b2,X0_13)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_465]) ).
cnf(c_1962,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(a1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(a1,X0_13) ),
inference(superposition,[status(thm)],[c_500,c_465]) ).
cnf(c_1963,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(b1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(b1,X0_13) ),
inference(superposition,[status(thm)],[c_499,c_465]) ).
cnf(c_1964,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(a2,X0_14)
| line_equal(X0_14,a2b2)
| point_equal(a2,X0_13) ),
inference(superposition,[status(thm)],[c_498,c_465]) ).
cnf(c_2012,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,a1c1)
| ~ incident(b2,a1b1)
| incident(a1,b2c2)
| line_equal(a1b1,a1c1)
| point_equal(b2,a1) ),
inference(instantiation,[status(thm)],[c_1960]) ).
cnf(c_2121,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(a2,X0_14)
| incident(a2,X1_14) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2124,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(a2,X0_13)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2135,plain,
( ~ incident(c1,X0_14)
| ~ incident(c1,X1_14)
| ~ incident(c2,X0_14)
| ~ incident(c2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2138,plain,
( ~ line_equal(X0_14,b2c2)
| ~ line_equal(b1c1,X0_14)
| line_equal(b1c1,b2c2) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_2164,plain,
( ~ line_equal(a2c2,X0_14)
| ~ incident(a2,a2c2)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_2121]) ).
cnf(c_2165,plain,
( ~ line_equal(oa,X0_14)
| ~ incident(a2,oa)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_2121]) ).
cnf(c_2176,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(a2,X0_14)
| ~ incident(a2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(a2,X0_13) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2181,plain,
( ~ line_equal(X0_14,X1_14)
| ~ line_equal(X1_14,a1c1)
| line_equal(X0_14,a1c1) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_2185,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(b2,X0_14)
| ~ incident(b2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(b2,X0_13) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2186,plain,
( ~ point_equal(X0_13,b2)
| point_equal(b2,X0_13) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_2203,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(b1,X0_14)
| ~ incident(b1,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(X0_13,b1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2211,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(c1,X0_14)
| ~ incident(c1,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(X0_13,c1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2218,plain,
( ~ line_equal(X0_14,X1_14)
| ~ line_equal(X1_14,b2c2)
| line_equal(X0_14,b2c2) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_2219,plain,
( ~ line_equal(b2c2,X0_14)
| line_equal(X0_14,b2c2) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_2236,plain,
( ~ incident(b1,X0_14)
| ~ incident(b1,X1_14)
| ~ incident(b2,X0_14)
| ~ incident(b2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(b1,b2) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2261,plain,
( ~ incident(a1,X0_14)
| ~ line_equal(X0_14,oc)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2264,plain,
( ~ incident(X0_13,oa)
| ~ point_equal(b2,X0_13)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2269,plain,
( ~ incident(b1,X0_14)
| ~ line_equal(X0_14,a1c1)
| incident(b1,a1c1) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2272,plain,
( ~ incident(X0_13,a2b2)
| ~ point_equal(c2,X0_13)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2286,plain,
( ~ line_equal(X0_14,b2c2)
| line_equal(b2c2,X0_14) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_2330,plain,
( ~ line_equal(X0_14,X1_14)
| ~ line_equal(oa,X0_14)
| line_equal(oa,X1_14) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_2359,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(a2,X0_14)
| ~ incident(a2,a2b2)
| line_equal(X0_14,a2b2)
| point_equal(a2,X0_13) ),
inference(instantiation,[status(thm)],[c_2176]) ).
cnf(c_2360,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,X0_14)
| ~ incident(a2,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(a2,X0_13) ),
inference(instantiation,[status(thm)],[c_2176]) ).
cnf(c_2364,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(a2,X0_14)
| ~ incident(a2,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(X0_13,a2) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2388,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(b2,X0_14)
| ~ incident(b2,a2b2)
| line_equal(X0_14,a2b2)
| point_equal(b2,X0_13) ),
inference(instantiation,[status(thm)],[c_2185]) ).
cnf(c_2389,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(b2,X0_14)
| ~ incident(b2,b2c2)
| line_equal(X0_14,b2c2)
| point_equal(b2,X0_13) ),
inference(instantiation,[status(thm)],[c_2185]) ).
cnf(c_2390,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,ob)
| ~ incident(b2,X0_14)
| ~ incident(b2,ob)
| line_equal(X0_14,ob)
| point_equal(b2,X0_13) ),
inference(instantiation,[status(thm)],[c_2185]) ).
cnf(c_2392,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(b2,X0_13)
| incident(b2,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2422,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(b1,X0_14)
| ~ incident(b1,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(X0_13,b1) ),
inference(instantiation,[status(thm)],[c_2203]) ).
cnf(c_2434,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(b1,X0_14)
| ~ incident(b1,a2c2)
| line_equal(a2c2,X0_14)
| point_equal(X0_13,b1) ),
inference(instantiation,[status(thm)],[c_2203]) ).
cnf(c_2435,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,a1b1)
| ~ incident(a1,a2c2)
| ~ incident(a1,a1b1)
| line_equal(a2c2,a1b1)
| point_equal(a1,b1) ),
inference(instantiation,[status(thm)],[c_2434]) ).
cnf(c_2439,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,X1_14)
| ~ incident(b1,X0_14)
| ~ incident(b1,X1_14)
| line_equal(X0_14,X1_14)
| point_equal(b1,X0_13) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_2449,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(c1,X0_14)
| ~ incident(c1,a1c1)
| line_equal(X0_14,a1c1)
| point_equal(X0_13,c1) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_2450,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b1c1)
| ~ incident(c1,X0_14)
| ~ incident(c1,b1c1)
| line_equal(X0_14,b1c1)
| point_equal(X0_13,c1) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_2464,plain,
( ~ incident(b1,X0_14)
| ~ line_equal(X0_14,b2c2)
| incident(b1,b2c2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2486,plain,
( ~ incident(a1,X0_14)
| ~ line_equal(X0_14,a2c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2506,plain,
( ~ incident(a1,X0_14)
| ~ line_equal(X0_14,a2b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2535,plain,
( ~ incident(b1,X0_14)
| ~ incident(b2,X0_14)
| ~ incident(b1,ob)
| ~ incident(b2,ob)
| line_equal(X0_14,ob)
| point_equal(b1,b2) ),
inference(instantiation,[status(thm)],[c_2236]) ).
cnf(c_2558,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(ac,X0_14)
| incident(ac,X1_14) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2573,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,b1c1)
| incident(X0_13,b1c1) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2575,plain,
( ~ incident(c1,X0_14)
| ~ incident(c2,X0_14)
| ~ incident(c1,oc)
| ~ incident(c2,oc)
| line_equal(X0_14,oc)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_2135]) ).
cnf(c_2586,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,oc)
| incident(X0_13,oc) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2621,plain,
( ~ incident(X0_13,X0_14)
| ~ line_equal(X0_14,a2c2)
| incident(X0_13,a2c2) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2622,plain,
( ~ point_equal(X0_13,X1_13)
| ~ incident(X1_13,a2c2)
| incident(X0_13,a2c2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2638,plain,
( ~ line_equal(X0_14,X1_14)
| ~ incident(c2,X0_14)
| incident(c2,X1_14) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_2639,plain,
( ~ incident(X0_13,X0_14)
| ~ point_equal(c2,X0_13)
| incident(c2,X0_14) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_2885,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,a2b2)
| ~ incident(a2,a2c2)
| point_equal(a2,X0_13)
| line_equal(a2b2,a2c2) ),
inference(instantiation,[status(thm)],[c_2360]) ).
cnf(c_2898,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,X0_14)
| ~ incident(a2,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(X0_13,a2) ),
inference(instantiation,[status(thm)],[c_2364]) ).
cnf(c_2913,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,b2c2)
| ~ incident(b2,a2b2)
| ~ incident(b2,b2c2)
| point_equal(b2,X0_13)
| line_equal(b2c2,a2b2) ),
inference(instantiation,[status(thm)],[c_2388]) ).
cnf(c_2923,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,ob)
| ~ incident(b2,b2c2)
| ~ incident(b2,ob)
| point_equal(b2,X0_13)
| line_equal(b2c2,ob) ),
inference(instantiation,[status(thm)],[c_2390]) ).
cnf(c_2978,plain,
( ~ incident(b1,X0_14)
| ~ incident(c2,X0_14)
| ~ incident(b1,a2c2)
| ~ incident(c2,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(c2,b1) ),
inference(instantiation,[status(thm)],[c_2422]) ).
cnf(c_2997,plain,
( ~ incident(b1,X0_14)
| ~ incident(c2,X0_14)
| ~ incident(b1,a2c2)
| ~ incident(c2,a2c2)
| line_equal(a2c2,X0_14)
| point_equal(c2,b1) ),
inference(instantiation,[status(thm)],[c_2434]) ).
cnf(c_3015,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(b1,X0_14)
| ~ incident(b1,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(b1,X0_13) ),
inference(instantiation,[status(thm)],[c_2439]) ).
cnf(c_3022,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(b1,X0_14)
| ~ incident(b1,a2c2)
| line_equal(a2c2,X0_14)
| point_equal(b1,X0_13) ),
inference(instantiation,[status(thm)],[c_2439]) ).
cnf(c_3052,plain,
( ~ incident(X0_13,a1c1)
| ~ incident(X0_13,oc)
| ~ incident(c1,a1c1)
| ~ incident(c1,oc)
| point_equal(X0_13,c1)
| line_equal(oc,a1c1) ),
inference(instantiation,[status(thm)],[c_2449]) ).
cnf(c_3329,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(a1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(X0_13,a1) ),
inference(resolution,[status(thm)],[c_465,c_500]) ).
cnf(c_3330,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(b1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(X0_13,b1) ),
inference(resolution,[status(thm)],[c_465,c_499]) ).
cnf(c_3331,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(a2,X0_14)
| line_equal(X0_14,a2b2)
| point_equal(X0_13,a2) ),
inference(resolution,[status(thm)],[c_465,c_498]) ).
cnf(c_3336,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(c1,X0_14)
| line_equal(X0_14,a1c1)
| point_equal(X0_13,c1) ),
inference(resolution,[status(thm)],[c_465,c_495]) ).
cnf(c_3338,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,X0_14)
| line_equal(X0_14,a2c2)
| point_equal(X0_13,a2) ),
inference(resolution,[status(thm)],[c_465,c_494]) ).
cnf(c_3348,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(b2,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(X0_13,b2) ),
inference(resolution,[status(thm)],[c_465,c_489]) ).
cnf(c_3349,plain,
( ~ incident(a1,b2c2)
| ~ incident(a1,a1b1)
| ~ incident(b2,a1b1)
| line_equal(a1b1,b2c2)
| point_equal(a1,b2) ),
inference(instantiation,[status(thm)],[c_3348]) ).
cnf(c_3354,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oc)
| ~ incident(o,X0_14)
| line_equal(X0_14,oc)
| point_equal(X0_13,o) ),
inference(resolution,[status(thm)],[c_465,c_486]) ).
cnf(c_3355,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oc)
| ~ incident(o,a1b1)
| line_equal(a1b1,oc)
| point_equal(a1,o) ),
inference(instantiation,[status(thm)],[c_3354]) ).
cnf(c_3365,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oc)
| ~ incident(c2,X0_14)
| line_equal(X0_14,oc)
| point_equal(X0_13,c2) ),
inference(resolution,[status(thm)],[c_465,c_480]) ).
cnf(c_3366,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,oc)
| ~ incident(c2,a1b1)
| line_equal(a1b1,oc)
| point_equal(a1,c2) ),
inference(instantiation,[status(thm)],[c_3365]) ).
cnf(c_3389,plain,
( ~ point_equal(X0_13,b1)
| ~ incident(b1,b1c1)
| incident(X0_13,b1c1) ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_3395,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_2575]) ).
cnf(c_3544,plain,
( ~ point_equal(o,a1)
| point_equal(a1,o) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_3760,plain,
( ~ incident(ac,a1b1)
| ~ incident(bc,a1b1) ),
inference(superposition,[status(thm)],[c_475,c_454]) ).
cnf(c_3761,plain,
( ~ incident(ac,a2b2)
| ~ incident(bc,a2b2) ),
inference(superposition,[status(thm)],[c_474,c_454]) ).
cnf(c_3768,plain,
( ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_456]) ).
cnf(c_3782,plain,
( ~ incident(a2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_3768]) ).
cnf(c_3838,plain,
( ~ incident(b2,a1b1)
| ~ incident(a2,a1b1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_458]) ).
cnf(c_3873,plain,
( ~ incident(a2,a1b1)
| ~ incident(b2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_3838,c_99,c_60,c_59,c_57,c_56,c_55,c_89,c_84,c_507,c_508,c_544,c_561,c_647,c_679,c_729,c_919,c_985,c_1245,c_2012,c_3349]) ).
cnf(c_3874,plain,
( ~ incident(b2,a1b1)
| ~ incident(a2,a1b1) ),
inference(renaming,[status(thm)],[c_3873]) ).
cnf(c_3879,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a1c1)
| point_equal(a1,X0_13)
| line_equal(a1c1,a1b1) ),
inference(superposition,[status(thm)],[c_496,c_1962]) ).
cnf(c_3880,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,oa)
| point_equal(a1,X0_13)
| line_equal(oa,a1b1) ),
inference(superposition,[status(thm)],[c_485,c_1962]) ).
cnf(c_3882,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,b1c1)
| ~ incident(c1,a2b2)
| ~ incident(c1,b1c1)
| point_equal(X0_13,c1)
| line_equal(a2b2,b1c1) ),
inference(instantiation,[status(thm)],[c_2450]) ).
cnf(c_3894,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(c1,X0_14)
| ~ incident(c1,a2b2)
| line_equal(X0_14,a2b2)
| point_equal(X0_13,c1) ),
inference(instantiation,[status(thm)],[c_2211]) ).
cnf(c_3905,plain,
( point_equal(a1,X0_13)
| ~ incident(X0_13,a1c1)
| ~ incident(X0_13,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_3879,c_60,c_56,c_55,c_507,c_561,c_3879]) ).
cnf(c_3906,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a1c1)
| point_equal(a1,X0_13) ),
inference(renaming,[status(thm)],[c_3905]) ).
cnf(c_3907,plain,
( ~ incident(b2,a1b1)
| incident(a1,b2c2)
| point_equal(a1,b2) ),
inference(superposition,[status(thm)],[c_503,c_3906]) ).
cnf(c_3913,plain,
( incident(a1,b2c2)
| ~ incident(b2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_3907,c_1239,c_3907]) ).
cnf(c_3914,plain,
( ~ incident(b2,a1b1)
| incident(a1,b2c2) ),
inference(renaming,[status(thm)],[c_3913]) ).
cnf(c_3915,plain,
( ~ incident(o,a1b1)
| line_equal(oa,a1b1)
| point_equal(a1,o) ),
inference(superposition,[status(thm)],[c_488,c_3880]) ).
cnf(c_3917,plain,
( ~ incident(a2,a1b1)
| line_equal(oa,a1b1)
| point_equal(a1,a2) ),
inference(superposition,[status(thm)],[c_484,c_3880]) ).
cnf(c_3936,plain,
( line_equal(oa,a1b1)
| ~ incident(a2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_3917,c_99,c_71,c_70,c_55,c_84,c_808]) ).
cnf(c_3937,plain,
( ~ incident(a2,a1b1)
| line_equal(oa,a1b1) ),
inference(renaming,[status(thm)],[c_3936]) ).
cnf(c_3940,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,ob)
| point_equal(b1,X0_13)
| line_equal(ob,a1b1) ),
inference(superposition,[status(thm)],[c_483,c_1963]) ).
cnf(c_3941,plain,
( ~ incident(a1,a1b1)
| ~ incident(a1,ob)
| line_equal(ob,a1b1)
| point_equal(b1,a1) ),
inference(instantiation,[status(thm)],[c_3940]) ).
cnf(c_3964,plain,
( ~ point_equal(a2,b2)
| point_equal(b2,a2) ),
inference(instantiation,[status(thm)],[c_2186]) ).
cnf(c_3975,plain,
( ~ incident(o,a1b1)
| line_equal(ob,a1b1)
| point_equal(b1,o) ),
inference(superposition,[status(thm)],[c_487,c_3940]) ).
cnf(c_3977,plain,
( ~ incident(b2,a1b1)
| line_equal(ob,a1b1)
| point_equal(b1,b2) ),
inference(superposition,[status(thm)],[c_482,c_3940]) ).
cnf(c_4002,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a2c2)
| point_equal(a2,X0_13)
| line_equal(a2c2,a2b2) ),
inference(superposition,[status(thm)],[c_494,c_1964]) ).
cnf(c_4003,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,oa)
| point_equal(a2,X0_13)
| line_equal(oa,a2b2) ),
inference(superposition,[status(thm)],[c_484,c_1964]) ).
cnf(c_4016,plain,
( ~ incident(X0_13,oc)
| ~ point_equal(b2,X0_13)
| incident(b2,oc) ),
inference(instantiation,[status(thm)],[c_2392]) ).
cnf(c_4039,plain,
( point_equal(a2,X0_13)
| ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_4002,c_62,c_58,c_57,c_552,c_1178,c_4002]) ).
cnf(c_4040,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a2c2)
| point_equal(a2,X0_13) ),
inference(renaming,[status(thm)],[c_4039]) ).
cnf(c_4044,plain,
( ~ incident(ab,a2c2)
| point_equal(a2,ab) ),
inference(superposition,[status(thm)],[c_474,c_4040]) ).
cnf(c_4058,plain,
( ~ incident(b2,oa)
| line_equal(oa,a2b2)
| point_equal(a2,b2) ),
inference(superposition,[status(thm)],[c_497,c_4003]) ).
cnf(c_4111,plain,
( ~ incident(ab,X0_14)
| ~ point_equal(a2,ab)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_2124]) ).
cnf(c_4112,plain,
( ~ incident(ab,a1b1)
| ~ point_equal(a2,ab)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_4111]) ).
cnf(c_4128,plain,
( ~ incident(X0_13,oc)
| ~ point_equal(b1,X0_13)
| incident(b1,oc) ),
inference(instantiation,[status(thm)],[c_2586]) ).
cnf(c_4151,plain,
( ~ incident(b1,oc)
| ~ line_equal(oc,a1c1)
| incident(b1,a1c1) ),
inference(instantiation,[status(thm)],[c_2269]) ).
cnf(c_4157,plain,
( ~ line_equal(X0_14,oc)
| ~ line_equal(oc,a1c1)
| line_equal(X0_14,a1c1) ),
inference(instantiation,[status(thm)],[c_2181]) ).
cnf(c_4171,plain,
( ~ incident(a1,a1c1)
| ~ line_equal(a1c1,oc)
| incident(a1,oc) ),
inference(instantiation,[status(thm)],[c_2261]) ).
cnf(c_4177,plain,
( ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_456]) ).
cnf(c_4178,plain,
( ~ incident(a2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_4177]) ).
cnf(c_4179,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_501,c_4178]) ).
cnf(c_4198,plain,
line_equal(oa,oa),
inference(superposition,[status(thm)],[c_485,c_470]) ).
cnf(c_4286,plain,
( ~ point_equal(X0_13,a1)
| incident(X0_13,a1c1) ),
inference(superposition,[status(thm)],[c_496,c_467]) ).
cnf(c_4289,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,a2c2) ),
inference(superposition,[status(thm)],[c_493,c_467]) ).
cnf(c_4297,plain,
( ~ point_equal(X0_13,a1)
| incident(X0_13,oa) ),
inference(superposition,[status(thm)],[c_485,c_467]) ).
cnf(c_4302,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_480,c_467]) ).
cnf(c_4340,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(c2,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(c2,X0_13)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_465]) ).
cnf(c_4344,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(b1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(b1,X0_13) ),
inference(superposition,[status(thm)],[c_499,c_465]) ).
cnf(c_4346,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(b2,X0_14)
| line_equal(X0_14,a2b2)
| point_equal(b2,X0_13) ),
inference(superposition,[status(thm)],[c_497,c_465]) ).
cnf(c_4347,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(a1,X0_14)
| line_equal(X0_14,a1c1)
| point_equal(a1,X0_13) ),
inference(superposition,[status(thm)],[c_496,c_465]) ).
cnf(c_4348,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(c1,X0_14)
| line_equal(X0_14,a1c1)
| point_equal(c1,X0_13) ),
inference(superposition,[status(thm)],[c_495,c_465]) ).
cnf(c_4349,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,X0_14)
| line_equal(X0_14,a2c2)
| point_equal(a2,X0_13) ),
inference(superposition,[status(thm)],[c_494,c_465]) ).
cnf(c_4350,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(c2,X0_14)
| line_equal(X0_14,a2c2)
| point_equal(c2,X0_13) ),
inference(superposition,[status(thm)],[c_493,c_465]) ).
cnf(c_4353,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(c2,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(c2,X0_13) ),
inference(superposition,[status(thm)],[c_490,c_465]) ).
cnf(c_4354,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(b2,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(b2,X0_13) ),
inference(superposition,[status(thm)],[c_489,c_465]) ).
cnf(c_4357,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oc)
| ~ incident(o,X0_14)
| line_equal(X0_14,oc)
| point_equal(o,X0_13) ),
inference(superposition,[status(thm)],[c_486,c_465]) ).
cnf(c_4358,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oa)
| ~ incident(a1,X0_14)
| line_equal(X0_14,oa)
| point_equal(a1,X0_13) ),
inference(superposition,[status(thm)],[c_485,c_465]) ).
cnf(c_4359,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oa)
| ~ incident(a2,X0_14)
| line_equal(X0_14,oa)
| point_equal(a2,X0_13) ),
inference(superposition,[status(thm)],[c_484,c_465]) ).
cnf(c_4365,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(bc,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(bc,X0_13) ),
inference(superposition,[status(thm)],[c_478,c_465]) ).
cnf(c_4366,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1c1)
| ~ incident(ac,X0_14)
| line_equal(X0_14,a1c1)
| point_equal(ac,X0_13) ),
inference(superposition,[status(thm)],[c_477,c_465]) ).
cnf(c_4369,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(ab,X0_14)
| line_equal(X0_14,a2b2)
| point_equal(ab,X0_13) ),
inference(superposition,[status(thm)],[c_474,c_465]) ).
cnf(c_4371,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a1c1)
| point_equal(a1,X0_13)
| line_equal(a1b1,a1c1) ),
inference(superposition,[status(thm)],[c_500,c_4347]) ).
cnf(c_4376,plain,
( ~ incident(X0_13,a1c1)
| ~ incident(X0_13,oc)
| point_equal(c1,X0_13)
| line_equal(oc,a1c1) ),
inference(superposition,[status(thm)],[c_481,c_4348]) ).
cnf(c_4377,plain,
( ~ incident(a1,a1c1)
| ~ incident(a1,oc)
| line_equal(oc,a1c1)
| point_equal(c1,a1) ),
inference(instantiation,[status(thm)],[c_4376]) ).
cnf(c_4381,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,oa)
| point_equal(a2,X0_13)
| line_equal(oa,a2c2) ),
inference(superposition,[status(thm)],[c_484,c_4349]) ).
cnf(c_4382,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,oa)
| line_equal(oa,a2c2)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_4381]) ).
cnf(c_4383,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a1b1)
| point_equal(c2,X0_13)
| incident(b1,a2c2)
| line_equal(a1b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_4350]) ).
cnf(c_4385,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,b2c2)
| point_equal(c2,X0_13)
| line_equal(b2c2,a2c2) ),
inference(superposition,[status(thm)],[c_490,c_4350]) ).
cnf(c_4386,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,oc)
| point_equal(c2,X0_13)
| line_equal(oc,a2c2) ),
inference(superposition,[status(thm)],[c_480,c_4350]) ).
cnf(c_4388,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,b2c2)
| line_equal(b2c2,a2c2)
| point_equal(c2,a1) ),
inference(instantiation,[status(thm)],[c_4385]) ).
cnf(c_4389,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,a1b1)
| incident(b1,a2c2)
| line_equal(a1b1,a2c2)
| point_equal(c2,a1) ),
inference(instantiation,[status(thm)],[c_4383]) ).
cnf(c_4411,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,oc)
| point_equal(c2,X0_13)
| line_equal(oc,b2c2) ),
inference(superposition,[status(thm)],[c_480,c_4353]) ).
cnf(c_4415,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,a1c1)
| point_equal(b2,X0_13)
| incident(a1,b2c2)
| line_equal(a1c1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_4354]) ).
cnf(c_4488,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,oc)
| ~ incident(a2,a2b2)
| ~ incident(a2,oc)
| point_equal(a2,X0_13)
| line_equal(oc,a2b2) ),
inference(instantiation,[status(thm)],[c_2359]) ).
cnf(c_4489,plain,
( ~ incident(a1,a2b2)
| ~ incident(a1,oc)
| ~ incident(a2,a2b2)
| ~ incident(a2,oc)
| line_equal(oc,a2b2)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_4488]) ).
cnf(c_4496,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| incident(c1,a2b2) ),
inference(resolution,[status(thm)],[c_456,c_501]) ).
cnf(c_4638,plain,
( ~ incident(c1,X0_14)
| ~ incident(b2,X0_14)
| ~ incident(c1,a2b2)
| ~ incident(b2,a2b2)
| line_equal(X0_14,a2b2)
| point_equal(b2,c1) ),
inference(instantiation,[status(thm)],[c_2388]) ).
cnf(c_4666,plain,
( ~ incident(c2,X0_14)
| ~ incident(b2,X0_14)
| ~ incident(c2,b2c2)
| ~ incident(b2,b2c2)
| line_equal(X0_14,b2c2)
| point_equal(b2,c2) ),
inference(instantiation,[status(thm)],[c_2389]) ).
cnf(c_4667,plain,
( ~ incident(c2,b2c2)
| ~ incident(c2,a1b1)
| ~ incident(b2,b2c2)
| ~ incident(b2,a1b1)
| line_equal(a1b1,b2c2)
| point_equal(b2,c2) ),
inference(instantiation,[status(thm)],[c_4666]) ).
cnf(c_4697,plain,
( ~ incident(b1,b1c1)
| ~ incident(b1,ob)
| ~ incident(b2,b1c1)
| ~ incident(b2,ob)
| line_equal(b1c1,ob)
| point_equal(b1,b2) ),
inference(instantiation,[status(thm)],[c_2535]) ).
cnf(c_4736,plain,
( ~ incident(b1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a2,a2b2)
| ~ incident(a2,a2c2)
| line_equal(a2b2,a2c2)
| point_equal(a2,b1) ),
inference(instantiation,[status(thm)],[c_2885]) ).
cnf(c_4764,plain,
( ~ incident(a1,a2c2)
| ~ incident(c2,a1b1)
| line_equal(a2c2,a1b1)
| point_equal(c2,a1) ),
inference(resolution,[status(thm)],[c_3329,c_493]) ).
cnf(c_4767,plain,
( ~ incident(a1,b2c2)
| ~ incident(c2,a1b1)
| line_equal(b2c2,a1b1)
| point_equal(c2,a1) ),
inference(resolution,[status(thm)],[c_3329,c_490]) ).
cnf(c_4844,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,oa)
| ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| point_equal(X0_13,a2)
| line_equal(oa,a2c2) ),
inference(instantiation,[status(thm)],[c_2898]) ).
cnf(c_4869,plain,
( ~ incident(b1,a2b2)
| ~ incident(b1,b2c2)
| ~ incident(b2,a2b2)
| ~ incident(b2,b2c2)
| line_equal(b2c2,a2b2)
| point_equal(b2,b1) ),
inference(instantiation,[status(thm)],[c_2913]) ).
cnf(c_4902,plain,
( ~ incident(a1,oc)
| ~ incident(o,oa)
| line_equal(oa,oc)
| point_equal(o,a1) ),
inference(superposition,[status(thm)],[c_485,c_4357]) ).
cnf(c_5029,plain,
( ~ incident(X0_13,a2c2)
| ~ point_equal(c1,X0_13)
| incident(c1,a2c2) ),
inference(instantiation,[status(thm)],[c_2622]) ).
cnf(c_5130,plain,
( ~ line_equal(X0_14,b2c2)
| ~ line_equal(a2c2,X0_14)
| line_equal(a2c2,b2c2) ),
inference(instantiation,[status(thm)],[c_2218]) ).
cnf(c_5131,plain,
( ~ line_equal(a2c2,a1b1)
| ~ line_equal(a1b1,b2c2)
| line_equal(a2c2,b2c2) ),
inference(instantiation,[status(thm)],[c_5130]) ).
cnf(c_5140,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,oa)
| point_equal(a1,X0_13)
| line_equal(a1b1,oa) ),
inference(superposition,[status(thm)],[c_500,c_4358]) ).
cnf(c_5196,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,oa)
| point_equal(a2,X0_13)
| line_equal(a2b2,oa) ),
inference(superposition,[status(thm)],[c_498,c_4359]) ).
cnf(c_5200,plain,
( ~ incident(a1,a2b2)
| ~ incident(a1,oa)
| line_equal(a2b2,oa)
| point_equal(a2,a1) ),
inference(instantiation,[status(thm)],[c_5196]) ).
cnf(c_5219,plain,
( ~ line_equal(b1c1,ob)
| ~ line_equal(ob,b2c2)
| line_equal(b1c1,b2c2) ),
inference(instantiation,[status(thm)],[c_2138]) ).
cnf(c_5221,plain,
( ~ line_equal(a1c1,b2c2)
| line_equal(b2c2,a1c1) ),
inference(instantiation,[status(thm)],[c_2286]) ).
cnf(c_5223,plain,
( ~ line_equal(a2c2,b2c2)
| line_equal(b2c2,a2c2) ),
inference(instantiation,[status(thm)],[c_2286]) ).
cnf(c_5294,plain,
( ~ incident(c2,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(resolution,[status(thm)],[c_4496,c_503]) ).
cnf(c_5399,plain,
( ~ incident(b1,oc)
| ~ incident(c2,a1b1)
| line_equal(oc,a1b1)
| point_equal(c2,b1) ),
inference(resolution,[status(thm)],[c_3330,c_480]) ).
cnf(c_5511,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,b1c1)
| point_equal(bc,X0_13)
| line_equal(b1c1,b2c2) ),
inference(superposition,[status(thm)],[c_479,c_4365]) ).
cnf(c_5536,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a1c1)
| point_equal(ac,X0_13)
| line_equal(a2c2,a1c1) ),
inference(superposition,[status(thm)],[c_476,c_4366]) ).
cnf(c_5537,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,a1c1)
| line_equal(a2c2,a1c1)
| point_equal(ac,a1) ),
inference(instantiation,[status(thm)],[c_5536]) ).
cnf(c_5705,plain,
( ~ incident(b2,X0_14)
| ~ incident(o,X0_14)
| ~ incident(b2,ob)
| ~ incident(o,ob)
| line_equal(X0_14,ob)
| point_equal(b2,o) ),
inference(instantiation,[status(thm)],[c_2390]) ).
cnf(c_5805,plain,
( ~ line_equal(b2c2,ob)
| line_equal(ob,b2c2) ),
inference(instantiation,[status(thm)],[c_2219]) ).
cnf(c_5878,plain,
( ~ incident(c1,a1c1)
| ~ incident(c1,oc)
| ~ incident(c2,a1c1)
| ~ incident(c2,oc)
| line_equal(a1c1,oc)
| point_equal(c2,c1) ),
inference(instantiation,[status(thm)],[c_2575]) ).
cnf(c_5883,plain,
( ~ incident(b2,a1b1)
| ~ incident(a2,a1b1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_458]) ).
cnf(c_5888,plain,
( ~ incident(c2,X0_14)
| ~ line_equal(X0_14,oa)
| incident(c2,oa) ),
inference(instantiation,[status(thm)],[c_2638]) ).
cnf(c_5889,plain,
( ~ incident(c2,a1b1)
| ~ line_equal(a1b1,oa)
| incident(c2,oa) ),
inference(instantiation,[status(thm)],[c_5888]) ).
cnf(c_5903,plain,
( ~ incident(ab,a2c2)
| ~ incident(ac,a2c2)
| ~ incident(bc,a2c2) ),
inference(instantiation,[status(thm)],[c_454]) ).
cnf(c_5928,plain,
( ~ incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_5883,c_99,c_75,c_74,c_71,c_66,c_65,c_62,c_61,c_59,c_56,c_55,c_88,c_85,c_53,c_507,c_529,c_542,c_550,c_565,c_575,c_729,c_751,c_975,c_982,c_1104,c_1163,c_1237,c_1243,c_1741,c_3760,c_3874,c_3915,c_3977,c_4667,c_5537]) ).
cnf(c_5942,plain,
( point_equal(a1,X0_13)
| ~ incident(X0_13,a1c1)
| ~ incident(X0_13,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_4371,c_60,c_56,c_55,c_507,c_561,c_3879]) ).
cnf(c_5943,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a1c1)
| point_equal(a1,X0_13) ),
inference(renaming,[status(thm)],[c_5942]) ).
cnf(c_5944,plain,
( ~ incident(b2,a1b1)
| incident(a1,b2c2)
| point_equal(a1,b2) ),
inference(superposition,[status(thm)],[c_503,c_5943]) ).
cnf(c_5958,plain,
( ~ incident(b2,a1b1)
| point_equal(a1,b2) ),
inference(global_subsumption_just,[status(thm)],[c_5944,c_99,c_74,c_71,c_62,c_61,c_60,c_59,c_56,c_55,c_85,c_507,c_529,c_550,c_551,c_565,c_575,c_701,c_707,c_729,c_751,c_982,c_985,c_1085,c_1237,c_1243,c_1360,c_2435,c_3349,c_3366,c_3874,c_3914,c_3915,c_3977,c_5928]) ).
cnf(c_6036,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a1b1)
| point_equal(ab,X0_13)
| line_equal(a1b1,a2b2) ),
inference(superposition,[status(thm)],[c_475,c_4369]) ).
cnf(c_6041,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,a1b1)
| point_equal(c2,X0_13)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(superposition,[status(thm)],[c_490,c_4340]) ).
cnf(c_6044,plain,
( ~ incident(a1,b2c2)
| ~ incident(a1,a1b1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1)
| point_equal(c2,a1) ),
inference(instantiation,[status(thm)],[c_6041]) ).
cnf(c_6052,plain,
( ~ incident(a2,oa)
| ~ line_equal(oa,oc)
| incident(a2,oc) ),
inference(instantiation,[status(thm)],[c_2165]) ).
cnf(c_6055,plain,
( ~ incident(a2,oa)
| ~ line_equal(oa,ob)
| incident(a2,ob) ),
inference(instantiation,[status(thm)],[c_2165]) ).
cnf(c_6093,plain,
( ~ incident(c1,a2b2)
| ~ incident(a2,oc)
| line_equal(oc,a2b2)
| point_equal(c1,a2) ),
inference(resolution,[status(thm)],[c_3331,c_481]) ).
cnf(c_6263,plain,
( ~ incident(a2,X0_14)
| ~ line_equal(X0_14,b1c1)
| incident(a2,b1c1) ),
inference(instantiation,[status(thm)],[c_2121]) ).
cnf(c_6268,plain,
( ~ incident(a2,X0_14)
| ~ line_equal(X0_14,a1c1)
| incident(a2,a1c1) ),
inference(instantiation,[status(thm)],[c_2121]) ).
cnf(c_6334,plain,
( ~ incident(a1,a2c2)
| line_equal(oa,a2c2)
| point_equal(a2,a1) ),
inference(superposition,[status(thm)],[c_485,c_4381]) ).
cnf(c_6404,plain,
( ~ incident(c2,X0_14)
| ~ incident(a2,X0_14)
| ~ incident(c2,a2c2)
| ~ incident(a2,a2c2)
| line_equal(X0_14,a2c2)
| point_equal(c2,a2) ),
inference(instantiation,[status(thm)],[c_2898]) ).
cnf(c_6405,plain,
( ~ incident(c2,a2c2)
| ~ incident(c2,a1b1)
| ~ incident(a2,a2c2)
| ~ incident(a2,a1b1)
| line_equal(a1b1,a2c2)
| point_equal(c2,a2) ),
inference(instantiation,[status(thm)],[c_6404]) ).
cnf(c_6426,plain,
( line_equal(oa,a2c2)
| ~ incident(a1,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_6334,c_99,c_70,c_84,c_4382]) ).
cnf(c_6427,plain,
( ~ incident(a1,a2c2)
| line_equal(oa,a2c2) ),
inference(renaming,[status(thm)],[c_6426]) ).
cnf(c_6428,plain,
( point_equal(c2,X0_13)
| ~ incident(X0_13,b2c2)
| ~ incident(X0_13,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_4385,c_66,c_62,c_61,c_550,c_1157,c_4385]) ).
cnf(c_6429,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,b2c2)
| point_equal(c2,X0_13) ),
inference(renaming,[status(thm)],[c_6428]) ).
cnf(c_6431,plain,
( ~ incident(a1,a2c2)
| incident(c1,a2b2)
| incident(b1,a2c2)
| point_equal(c2,a1) ),
inference(superposition,[status(thm)],[c_4179,c_6429]) ).
cnf(c_6435,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| point_equal(c2,a1) ),
inference(global_subsumption_just,[status(thm)],[c_6431,c_54,c_53,c_984,c_3782,c_4767,c_5928]) ).
cnf(c_6438,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| point_equal(a1,c2) ),
inference(superposition,[status(thm)],[c_6435,c_472]) ).
cnf(c_6440,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(superposition,[status(thm)],[c_6435,c_4297]) ).
cnf(c_6441,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(c2,a1c1) ),
inference(superposition,[status(thm)],[c_6435,c_4286]) ).
cnf(c_6479,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,oc) ),
inference(superposition,[status(thm)],[c_6438,c_4302]) ).
cnf(c_6481,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,a2c2) ),
inference(superposition,[status(thm)],[c_6438,c_4289]) ).
cnf(c_6516,plain,
( ~ line_equal(oa,X0_14)
| incident(c2,X0_14)
| incident(c1,a2b2)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_6440,c_466]) ).
cnf(c_6530,plain,
( ~ incident(a2,a2c2)
| ~ line_equal(a2c2,oc)
| incident(a2,oc) ),
inference(instantiation,[status(thm)],[c_2164]) ).
cnf(c_6603,plain,
( ~ incident(b2,b2c2)
| ~ incident(b2,ob)
| ~ incident(o,b2c2)
| ~ incident(o,ob)
| line_equal(b2c2,ob)
| point_equal(b2,o) ),
inference(instantiation,[status(thm)],[c_2923]) ).
cnf(c_6760,plain,
( ~ incident(ac,X0_14)
| ~ line_equal(X0_14,a2b2)
| incident(ac,a2b2) ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_6765,plain,
( ~ incident(ac,X0_14)
| ~ line_equal(X0_14,oc)
| incident(ac,oc) ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_6801,plain,
( ~ incident(c2,oc)
| incident(c1,a2b2)
| incident(b1,a2c2)
| line_equal(oc,a1c1)
| point_equal(c1,c2) ),
inference(superposition,[status(thm)],[c_6441,c_4376]) ).
cnf(c_6898,plain,
( ~ incident(b1,X0_14)
| ~ line_equal(X0_14,a2c2)
| incident(b1,a2c2) ),
inference(instantiation,[status(thm)],[c_2621]) ).
cnf(c_6899,plain,
( ~ incident(b1,a1b1)
| ~ line_equal(a1b1,a2c2)
| incident(b1,a2c2) ),
inference(instantiation,[status(thm)],[c_6898]) ).
cnf(c_6950,plain,
( ~ line_equal(oa,X0_14)
| incident(c1,a2b2)
| incident(b1,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_6516,c_99,c_75,c_71,c_67,c_61,c_60,c_59,c_55,c_88,c_86,c_84,c_534,c_551,c_602,c_707,c_979,c_962,c_961,c_1122,c_1238,c_3544,c_3941,c_4157,c_4902,c_5928,c_6052,c_6268,c_6481,c_6479,c_6801]) ).
cnf(c_6953,plain,
( incident(c1,a2b2)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_4198,c_6950]) ).
cnf(c_6962,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a1b1)
| point_equal(b1,X0_13)
| incident(c1,a2b2)
| line_equal(a2c2,a1b1) ),
inference(superposition,[status(thm)],[c_6953,c_4344]) ).
cnf(c_7015,plain,
( ~ incident(b1,X0_14)
| ~ point_equal(a2,b1)
| incident(a2,X0_14) ),
inference(instantiation,[status(thm)],[c_2124]) ).
cnf(c_7016,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(a2,b1)
| incident(a2,a1b1) ),
inference(instantiation,[status(thm)],[c_7015]) ).
cnf(c_7024,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,b2c2)
| ~ incident(c2,a2c2)
| ~ incident(c2,b2c2)
| line_equal(b2c2,a2c2)
| point_equal(c2,b1) ),
inference(instantiation,[status(thm)],[c_2978]) ).
cnf(c_7048,plain,
( ~ incident(c1,a2c2)
| line_equal(oc,a2c2)
| point_equal(c2,c1) ),
inference(superposition,[status(thm)],[c_481,c_4386]) ).
cnf(c_7079,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,oc)
| ~ incident(c2,a2c2)
| ~ incident(c2,oc)
| line_equal(a2c2,oc)
| point_equal(c2,b1) ),
inference(instantiation,[status(thm)],[c_2997]) ).
cnf(c_7240,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,ob)
| ~ incident(b1,a2c2)
| ~ incident(b1,ob)
| point_equal(b1,X0_13)
| line_equal(ob,a2c2) ),
inference(instantiation,[status(thm)],[c_3015]) ).
cnf(c_7241,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,ob)
| ~ incident(a1,a2c2)
| ~ incident(a1,ob)
| line_equal(ob,a2c2)
| point_equal(b1,a1) ),
inference(instantiation,[status(thm)],[c_7240]) ).
cnf(c_7290,plain,
( ~ incident(b2,oc)
| line_equal(oc,b2c2)
| point_equal(c2,b2) ),
inference(superposition,[status(thm)],[c_489,c_4411]) ).
cnf(c_7339,plain,
( line_equal(oc,b2c2)
| ~ incident(b2,oc) ),
inference(global_subsumption_just,[status(thm)],[c_7290,c_58,c_57,c_552,c_1184,c_7290]) ).
cnf(c_7340,plain,
( ~ incident(b2,oc)
| line_equal(oc,b2c2) ),
inference(renaming,[status(thm)],[c_7339]) ).
cnf(c_7408,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,ob)
| point_equal(b2,X0_13)
| line_equal(ob,a2b2) ),
inference(superposition,[status(thm)],[c_482,c_4346]) ).
cnf(c_7416,plain,
( ~ incident(a2,ob)
| line_equal(ob,a2b2)
| point_equal(b2,a2) ),
inference(superposition,[status(thm)],[c_498,c_7408]) ).
cnf(c_7437,plain,
( ~ incident(ac,a1c1)
| ~ incident(ac,oc)
| ~ incident(c1,a1c1)
| ~ incident(c1,oc)
| line_equal(oc,a1c1)
| point_equal(ac,c1) ),
inference(instantiation,[status(thm)],[c_3052]) ).
cnf(c_7444,plain,
( ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_456]) ).
cnf(c_7445,plain,
( ~ incident(a2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_7444]) ).
cnf(c_7446,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(superposition,[status(thm)],[c_501,c_7445]) ).
cnf(c_7529,plain,
( ~ line_equal(a2c2,X0_14)
| incident(c2,X0_14) ),
inference(superposition,[status(thm)],[c_493,c_466]) ).
cnf(c_7530,plain,
( ~ line_equal(b1c1,X0_14)
| incident(c1,X0_14) ),
inference(superposition,[status(thm)],[c_492,c_466]) ).
cnf(c_7531,plain,
( ~ line_equal(b1c1,X0_14)
| incident(b1,X0_14) ),
inference(superposition,[status(thm)],[c_491,c_466]) ).
cnf(c_7534,plain,
( ~ line_equal(oa,X0_14)
| incident(o,X0_14) ),
inference(superposition,[status(thm)],[c_488,c_466]) ).
cnf(c_7536,plain,
( ~ line_equal(oc,X0_14)
| incident(o,X0_14) ),
inference(superposition,[status(thm)],[c_486,c_466]) ).
cnf(c_7539,plain,
( ~ line_equal(ob,X0_14)
| incident(b1,X0_14) ),
inference(superposition,[status(thm)],[c_483,c_466]) ).
cnf(c_7551,plain,
( ~ point_equal(X0_13,a2)
| incident(X0_13,b1c1)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_501,c_467]) ).
cnf(c_7553,plain,
( ~ point_equal(X0_13,b1)
| incident(X0_13,a1b1) ),
inference(superposition,[status(thm)],[c_499,c_467]) ).
cnf(c_7555,plain,
( ~ point_equal(X0_13,b2)
| incident(X0_13,a2b2) ),
inference(superposition,[status(thm)],[c_497,c_467]) ).
cnf(c_7558,plain,
( ~ point_equal(X0_13,a2)
| incident(X0_13,a2c2) ),
inference(superposition,[status(thm)],[c_494,c_467]) ).
cnf(c_7559,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,a2c2) ),
inference(superposition,[status(thm)],[c_493,c_467]) ).
cnf(c_7560,plain,
( ~ point_equal(X0_13,c1)
| incident(X0_13,b1c1) ),
inference(superposition,[status(thm)],[c_492,c_467]) ).
cnf(c_7561,plain,
( ~ point_equal(X0_13,b1)
| incident(X0_13,b1c1) ),
inference(superposition,[status(thm)],[c_491,c_467]) ).
cnf(c_7565,plain,
( ~ point_equal(X0_13,o)
| incident(X0_13,ob) ),
inference(superposition,[status(thm)],[c_487,c_467]) ).
cnf(c_7566,plain,
( ~ point_equal(X0_13,o)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_486,c_467]) ).
cnf(c_7569,plain,
( ~ point_equal(X0_13,b1)
| incident(X0_13,ob) ),
inference(superposition,[status(thm)],[c_483,c_467]) ).
cnf(c_7571,plain,
( ~ point_equal(X0_13,c1)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_481,c_467]) ).
cnf(c_7572,plain,
( ~ point_equal(X0_13,c2)
| incident(X0_13,oc) ),
inference(superposition,[status(thm)],[c_480,c_467]) ).
cnf(c_7613,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(a1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(a1,X0_13) ),
inference(superposition,[status(thm)],[c_500,c_465]) ).
cnf(c_7614,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(b1,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(b1,X0_13) ),
inference(superposition,[status(thm)],[c_499,c_465]) ).
cnf(c_7616,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2b2)
| ~ incident(b2,X0_14)
| line_equal(X0_14,a2b2)
| point_equal(b2,X0_13) ),
inference(superposition,[status(thm)],[c_497,c_465]) ).
cnf(c_7619,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(a2,X0_14)
| line_equal(X0_14,a2c2)
| point_equal(a2,X0_13) ),
inference(superposition,[status(thm)],[c_494,c_465]) ).
cnf(c_7621,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b1c1)
| ~ incident(c1,X0_14)
| line_equal(X0_14,b1c1)
| point_equal(c1,X0_13) ),
inference(superposition,[status(thm)],[c_492,c_465]) ).
cnf(c_7622,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b1c1)
| ~ incident(b1,X0_14)
| line_equal(X0_14,b1c1)
| point_equal(b1,X0_13) ),
inference(superposition,[status(thm)],[c_491,c_465]) ).
cnf(c_7623,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(c2,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(c2,X0_13) ),
inference(superposition,[status(thm)],[c_490,c_465]) ).
cnf(c_7624,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b2c2)
| ~ incident(b2,X0_14)
| line_equal(X0_14,b2c2)
| point_equal(b2,X0_13) ),
inference(superposition,[status(thm)],[c_489,c_465]) ).
cnf(c_7628,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,oa)
| ~ incident(a1,X0_14)
| line_equal(X0_14,oa)
| point_equal(a1,X0_13) ),
inference(superposition,[status(thm)],[c_485,c_465]) ).
cnf(c_7634,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,b1c1)
| ~ incident(bc,X0_14)
| line_equal(X0_14,b1c1)
| point_equal(bc,X0_13) ),
inference(superposition,[status(thm)],[c_479,c_465]) ).
cnf(c_7638,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a1b1)
| ~ incident(ab,X0_14)
| line_equal(X0_14,a1b1)
| point_equal(ab,X0_13) ),
inference(superposition,[status(thm)],[c_475,c_465]) ).
cnf(c_7693,plain,
( incident(b1,a2c2)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_7446,c_6953]) ).
cnf(c_7694,plain,
( incident(c1,a2b2)
| incident(b1,a2c2) ),
inference(renaming,[status(thm)],[c_7693]) ).
cnf(c_7695,plain,
( ~ incident(X0_13,X0_14)
| ~ incident(X0_13,a2c2)
| ~ incident(b1,X0_14)
| line_equal(X0_14,a2c2)
| point_equal(b1,X0_13)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_7694,c_465]) ).
cnf(c_7708,plain,
( ~ incident(b1,oc)
| ~ incident(a1,oc) ),
inference(superposition,[status(thm)],[c_481,c_457]) ).
cnf(c_7714,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a1b1)
| point_equal(b1,X0_13)
| incident(c1,a2b2)
| line_equal(a1b1,a2c2) ),
inference(superposition,[status(thm)],[c_499,c_7695]) ).
cnf(c_7715,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,b1c1)
| point_equal(b1,X0_13)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(superposition,[status(thm)],[c_491,c_7695]) ).
cnf(c_7720,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,b1c1)
| point_equal(bc,X0_13)
| line_equal(b2c2,b1c1) ),
inference(superposition,[status(thm)],[c_478,c_7634]) ).
cnf(c_7721,plain,
( point_equal(bc,X0_13)
| ~ incident(X0_13,b1c1)
| ~ incident(X0_13,b2c2) ),
inference(global_subsumption_just,[status(thm)],[c_7720,c_99,c_87,c_5511]) ).
cnf(c_7722,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,b1c1)
| point_equal(bc,X0_13) ),
inference(renaming,[status(thm)],[c_7721]) ).
cnf(c_7723,plain,
( ~ incident(c2,b1c1)
| point_equal(bc,c2) ),
inference(superposition,[status(thm)],[c_490,c_7722]) ).
cnf(c_7724,plain,
( ~ incident(b2,b1c1)
| point_equal(bc,b2) ),
inference(superposition,[status(thm)],[c_489,c_7722]) ).
cnf(c_7728,plain,
( ~ incident(b2,a1b1)
| ~ incident(a2,a1b1)
| incident(b1,a2c2) ),
inference(superposition,[status(thm)],[c_502,c_458]) ).
cnf(c_7734,plain,
( ~ incident(a2,a1b1)
| incident(b1,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_7728,c_62,c_61,c_58,c_57,c_56,c_53,c_552,c_1183,c_6405,c_6899]) ).
cnf(c_7736,plain,
( incident(c1,a2b2)
| point_equal(b1,X0_13)
| ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_7714,c_99,c_74,c_73,c_72,c_71,c_70,c_66,c_65,c_62,c_61,c_60,c_59,c_56,c_55,c_84,c_507,c_550,c_551,c_565,c_707,c_751,c_808,c_983,c_987,c_988,c_1157,c_1158,c_1166,c_1233,c_1238,c_1739,c_3355,c_5131,c_5223,c_5294,c_6953,c_6962,c_7241,c_7714]) ).
cnf(c_7737,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a1b1)
| point_equal(b1,X0_13)
| incident(c1,a2b2) ),
inference(renaming,[status(thm)],[c_7736]) ).
cnf(c_7738,plain,
( ~ incident(a1,a2c2)
| ~ incident(a1,a1b1)
| incident(c1,a2b2)
| point_equal(b1,a1) ),
inference(instantiation,[status(thm)],[c_7737]) ).
cnf(c_7748,plain,
( ~ incident(a2,a2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| point_equal(b1,a2) ),
inference(superposition,[status(thm)],[c_501,c_7715]) ).
cnf(c_7752,plain,
( incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| point_equal(b1,a2) ),
inference(global_subsumption_just,[status(thm)],[c_7748,c_61,c_7748]) ).
cnf(c_7755,plain,
( incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| point_equal(a2,b1) ),
inference(superposition,[status(thm)],[c_7752,c_472]) ).
cnf(c_7772,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a1b1)
| point_equal(ab,X0_13)
| line_equal(a2b2,a1b1) ),
inference(superposition,[status(thm)],[c_474,c_7638]) ).
cnf(c_7776,plain,
( incident(c1,a2b2)
| incident(a2,ob)
| line_equal(b1c1,a2c2) ),
inference(superposition,[status(thm)],[c_7755,c_7569]) ).
cnf(c_7778,plain,
( incident(c1,a2b2)
| incident(a2,a1b1)
| line_equal(b1c1,a2c2) ),
inference(superposition,[status(thm)],[c_7755,c_7553]) ).
cnf(c_7799,plain,
( incident(c1,a2b2)
| incident(c1,a2c2)
| incident(a2,ob) ),
inference(superposition,[status(thm)],[c_7776,c_7530]) ).
cnf(c_7801,plain,
( ~ line_equal(X0_14,b1c1)
| line_equal(X0_14,a2c2)
| incident(c1,a2b2)
| incident(a2,a1b1) ),
inference(superposition,[status(thm)],[c_7778,c_468]) ).
cnf(c_7802,plain,
( incident(c1,a2b2)
| incident(a2,a1b1)
| line_equal(a2c2,b1c1) ),
inference(superposition,[status(thm)],[c_7778,c_469]) ).
cnf(c_7806,plain,
( incident(c1,a2b2)
| incident(c1,a2c2)
| incident(a2,a1b1) ),
inference(superposition,[status(thm)],[c_7778,c_7530]) ).
cnf(c_7833,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| incident(a2,a1b1) ),
inference(superposition,[status(thm)],[c_7802,c_7529]) ).
cnf(c_7836,plain,
( point_equal(ab,X0_13)
| ~ incident(X0_13,a1b1)
| ~ incident(X0_13,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_7772,c_99,c_89,c_6036]) ).
cnf(c_7837,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a1b1)
| point_equal(ab,X0_13) ),
inference(renaming,[status(thm)],[c_7836]) ).
cnf(c_7839,plain,
( ~ incident(a2,a1b1)
| point_equal(ab,a2) ),
inference(superposition,[status(thm)],[c_498,c_7837]) ).
cnf(c_7840,plain,
( ~ incident(b2,a1b1)
| point_equal(ab,b2) ),
inference(superposition,[status(thm)],[c_497,c_7837]) ).
cnf(c_7846,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,oa)
| point_equal(a1,X0_13)
| line_equal(oa,a1b1) ),
inference(superposition,[status(thm)],[c_485,c_7613]) ).
cnf(c_7849,plain,
( ~ incident(a2,a1b1)
| line_equal(oa,a1b1)
| point_equal(a1,a2) ),
inference(superposition,[status(thm)],[c_484,c_7846]) ).
cnf(c_7850,plain,
~ incident(b2,a1b1),
inference(global_subsumption_just,[status(thm)],[c_7840,c_99,c_75,c_74,c_71,c_62,c_61,c_58,c_57,c_86,c_85,c_84,c_50,c_529,c_552,c_575,c_982,c_1180,c_1237,c_1245,c_3395,c_3874,c_3914,c_3915,c_3977,c_4489,c_5928,c_5958,c_6530,c_7806]) ).
cnf(c_7911,plain,
( line_equal(oa,a1b1)
| ~ incident(a2,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_7849,c_3937]) ).
cnf(c_7912,plain,
( ~ incident(a2,a1b1)
| line_equal(oa,a1b1) ),
inference(renaming,[status(thm)],[c_7911]) ).
cnf(c_7923,plain,
( ~ incident(X0_13,b1c1)
| ~ incident(X0_13,oc)
| point_equal(c1,X0_13)
| line_equal(oc,b1c1) ),
inference(superposition,[status(thm)],[c_481,c_7621]) ).
cnf(c_7956,plain,
( incident(c1,a2b2)
| incident(c1,a2c2)
| point_equal(ab,a2) ),
inference(superposition,[status(thm)],[c_7806,c_7839]) ).
cnf(c_8063,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| line_equal(oa,a1b1) ),
inference(superposition,[status(thm)],[c_7833,c_7912]) ).
cnf(c_8064,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| point_equal(ab,a2) ),
inference(superposition,[status(thm)],[c_7833,c_7839]) ).
cnf(c_8079,plain,
( incident(ab,a2c2)
| incident(c1,a2b2)
| incident(c1,a2c2) ),
inference(superposition,[status(thm)],[c_7956,c_7558]) ).
cnf(c_8097,plain,
( ~ incident(bc,oc)
| line_equal(oc,b1c1)
| point_equal(c1,bc) ),
inference(superposition,[status(thm)],[c_479,c_7923]) ).
cnf(c_8133,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| incident(o,a1b1) ),
inference(superposition,[status(thm)],[c_8063,c_7534]) ).
cnf(c_8136,plain,
( incident(ab,b1c1)
| incident(c1,a2b2)
| incident(c2,b1c1) ),
inference(superposition,[status(thm)],[c_8064,c_7551]) ).
cnf(c_8182,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,ob)
| point_equal(b1,X0_13)
| line_equal(ob,a1b1) ),
inference(superposition,[status(thm)],[c_483,c_7614]) ).
cnf(c_8198,plain,
( point_equal(b1,X0_13)
| ~ incident(X0_13,ob)
| ~ incident(X0_13,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_8182,c_979,c_3940,c_7850]) ).
cnf(c_8199,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,ob)
| point_equal(b1,X0_13) ),
inference(renaming,[status(thm)],[c_8198]) ).
cnf(c_8201,plain,
( ~ incident(o,a1b1)
| point_equal(b1,o) ),
inference(superposition,[status(thm)],[c_487,c_8199]) ).
cnf(c_8243,plain,
( ~ incident(ac,a2c2)
| ~ incident(bc,a2c2)
| incident(c1,a2b2)
| incident(c1,a2c2) ),
inference(superposition,[status(thm)],[c_8079,c_454]) ).
cnf(c_8343,plain,
( ~ line_equal(a2c2,X0_14)
| ~ line_equal(oa,a2c2)
| line_equal(oa,X0_14) ),
inference(instantiation,[status(thm)],[c_2330]) ).
cnf(c_8344,plain,
( ~ line_equal(a2c2,a1b1)
| ~ line_equal(oa,a2c2)
| line_equal(oa,a1b1) ),
inference(instantiation,[status(thm)],[c_8343]) ).
cnf(c_8413,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,a2c2)
| incident(a1,a2c2) ),
inference(instantiation,[status(thm)],[c_2486]) ).
cnf(c_8558,plain,
( ~ incident(b1,a2b2)
| ~ point_equal(c2,b1)
| incident(c2,a2b2) ),
inference(instantiation,[status(thm)],[c_2272]) ).
cnf(c_8559,plain,
( ~ incident(b1,X0_14)
| ~ point_equal(c2,b1)
| incident(c2,X0_14) ),
inference(instantiation,[status(thm)],[c_2639]) ).
cnf(c_8561,plain,
( ~ incident(b1,a1b1)
| ~ point_equal(c2,b1)
| incident(c2,a1b1) ),
inference(instantiation,[status(thm)],[c_8559]) ).
cnf(c_8569,plain,
( ~ incident(b1,X0_14)
| ~ incident(a2,X0_14)
| ~ incident(b1,a2c2)
| ~ incident(a2,a2c2)
| line_equal(a2c2,X0_14)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_3022]) ).
cnf(c_8570,plain,
( ~ incident(b1,a2c2)
| ~ incident(b1,a1b1)
| ~ incident(a2,a2c2)
| ~ incident(a2,a1b1)
| line_equal(a2c2,a1b1)
| point_equal(b1,a2) ),
inference(instantiation,[status(thm)],[c_8569]) ).
cnf(c_8746,plain,
( ~ incident(b1,b1c1)
| ~ point_equal(c2,b1)
| incident(c2,b1c1) ),
inference(instantiation,[status(thm)],[c_3389]) ).
cnf(c_8899,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| point_equal(b1,o) ),
inference(superposition,[status(thm)],[c_8133,c_8201]) ).
cnf(c_8974,plain,
( ~ incident(c1,a2b2)
| ~ incident(b2,a1c1)
| line_equal(a2b2,a1c1)
| point_equal(b2,c1) ),
inference(resolution,[status(thm)],[c_3336,c_497]) ).
cnf(c_9173,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,b1c1)
| ~ incident(b1,a2b2)
| ~ incident(b1,b1c1)
| line_equal(a2b2,b1c1)
| point_equal(b1,c1) ),
inference(instantiation,[status(thm)],[c_3882]) ).
cnf(c_9244,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a1c1)
| ~ incident(c1,a2b2)
| ~ incident(c1,a1c1)
| point_equal(X0_13,c1)
| line_equal(a1c1,a2b2) ),
inference(instantiation,[status(thm)],[c_3894]) ).
cnf(c_9245,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,a1c1)
| ~ incident(a1,a2b2)
| ~ incident(a1,a1c1)
| line_equal(a1c1,a2b2)
| point_equal(a1,c1) ),
inference(instantiation,[status(thm)],[c_9244]) ).
cnf(c_9300,plain,
( ~ incident(ac,b1c1)
| ~ incident(bc,b1c1)
| incident(c1,a2b2)
| incident(c2,b1c1) ),
inference(superposition,[status(thm)],[c_8136,c_454]) ).
cnf(c_9380,plain,
( ~ incident(o,oc)
| ~ point_equal(b2,o)
| incident(b2,oc) ),
inference(instantiation,[status(thm)],[c_4016]) ).
cnf(c_9381,plain,
( ~ incident(c1,oc)
| ~ point_equal(b2,c1)
| incident(b2,oc) ),
inference(instantiation,[status(thm)],[c_4016]) ).
cnf(c_9436,plain,
( ~ incident(o,oc)
| ~ point_equal(b1,o)
| incident(b1,oc) ),
inference(instantiation,[status(thm)],[c_4128]) ).
cnf(c_9437,plain,
( ~ incident(c1,oc)
| ~ point_equal(b1,c1)
| incident(b1,oc) ),
inference(instantiation,[status(thm)],[c_4128]) ).
cnf(c_9606,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,a1c1)
| ~ incident(b2,a2b2)
| ~ incident(b2,a1c1)
| line_equal(a1c1,a2b2)
| point_equal(b2,c1) ),
inference(instantiation,[status(thm)],[c_4638]) ).
cnf(c_9608,plain,
( ~ incident(c1,a2b2)
| ~ incident(c1,oc)
| ~ incident(b2,a2b2)
| ~ incident(b2,oc)
| line_equal(oc,a2b2)
| point_equal(b2,c1) ),
inference(instantiation,[status(thm)],[c_4638]) ).
cnf(c_9642,plain,
( ~ incident(a1,a2c2)
| line_equal(a2c2,a1b1)
| point_equal(c2,a1) ),
inference(global_subsumption_just,[status(thm)],[c_4764,c_60,c_59,c_56,c_55,c_551,c_707,c_803,c_1085,c_2435,c_4389]) ).
cnf(c_9720,plain,
( ~ incident(b1,a2c2)
| ~ incident(a2,ob)
| line_equal(ob,a2c2)
| point_equal(b1,a2) ),
inference(resolution,[status(thm)],[c_3338,c_483]) ).
cnf(c_9850,plain,
( ~ incident(c2,a2c2)
| ~ incident(c2,oa)
| ~ incident(a2,a2c2)
| ~ incident(a2,oa)
| line_equal(oa,a2c2)
| point_equal(c2,a2) ),
inference(instantiation,[status(thm)],[c_4844]) ).
cnf(c_9865,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| point_equal(o,b1) ),
inference(superposition,[status(thm)],[c_8899,c_472]) ).
cnf(c_9867,plain,
( incident(c1,a2b2)
| incident(b1,oc)
| incident(c2,b1c1) ),
inference(superposition,[status(thm)],[c_8899,c_7566]) ).
cnf(c_9900,plain,
( ~ incident(a2,a2c2)
| ~ point_equal(c1,a2)
| incident(c1,a2c2) ),
inference(instantiation,[status(thm)],[c_5029]) ).
cnf(c_9971,plain,
( ~ incident(b1,oc)
| ~ line_equal(oc,b2c2)
| incident(b1,b2c2) ),
inference(instantiation,[status(thm)],[c_2464]) ).
cnf(c_9983,plain,
( incident(c1,a2b2)
| incident(c2,b1c1)
| incident(o,b1c1) ),
inference(superposition,[status(thm)],[c_9865,c_7561]) ).
cnf(c_10270,plain,
( ~ incident(b2,oa)
| ~ incident(b2,ob)
| ~ incident(o,oa)
| ~ incident(o,ob)
| line_equal(oa,ob)
| point_equal(b2,o) ),
inference(instantiation,[status(thm)],[c_5705]) ).
cnf(c_10310,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,ob)
| point_equal(b2,X0_13)
| line_equal(ob,a2b2) ),
inference(superposition,[status(thm)],[c_482,c_7616]) ).
cnf(c_10806,plain,
( ~ incident(a2,a2b2)
| ~ line_equal(a2b2,b1c1)
| incident(a2,b1c1) ),
inference(instantiation,[status(thm)],[c_6263]) ).
cnf(c_10816,plain,
( ~ incident(a2,a2b2)
| ~ line_equal(a2b2,a1c1)
| incident(a2,a1c1) ),
inference(instantiation,[status(thm)],[c_6268]) ).
cnf(c_10929,plain,
( ~ incident(a1,oa)
| ~ line_equal(oa,a2b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_2506]) ).
cnf(c_11144,plain,
( ~ incident(ac,a1c1)
| ~ line_equal(a1c1,a2b2)
| incident(ac,a2b2) ),
inference(instantiation,[status(thm)],[c_6760]) ).
cnf(c_11149,plain,
( ~ incident(ac,a2c2)
| ~ line_equal(a2c2,oc)
| incident(ac,oc) ),
inference(instantiation,[status(thm)],[c_6765]) ).
cnf(c_11156,plain,
( incident(c2,b1c1)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_9983,c_79,c_78,c_76,c_75,c_74,c_64,c_63,c_62,c_60,c_59,c_551,c_1115,c_4151,c_6953,c_7079,c_7437,c_8746,c_9300,c_9867,c_11149]) ).
cnf(c_11157,plain,
( incident(c1,a2b2)
| incident(c2,b1c1) ),
inference(renaming,[status(thm)],[c_11156]) ).
cnf(c_11164,plain,
( incident(c1,a2b2)
| point_equal(bc,c2) ),
inference(superposition,[status(thm)],[c_11157,c_7723]) ).
cnf(c_11166,plain,
( ~ incident(c2,oc)
| incident(c1,a2b2)
| line_equal(oc,b1c1)
| point_equal(c1,c2) ),
inference(superposition,[status(thm)],[c_11157,c_7923]) ).
cnf(c_11180,plain,
( incident(bc,oc)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_11164,c_7572]) ).
cnf(c_11182,plain,
( incident(bc,a2c2)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_11164,c_7559]) ).
cnf(c_11210,plain,
( ~ incident(a2,ob)
| line_equal(ob,a2b2)
| point_equal(b2,a2) ),
inference(superposition,[status(thm)],[c_498,c_10310]) ).
cnf(c_11214,plain,
( line_equal(ob,a2b2)
| ~ incident(a2,ob) ),
inference(global_subsumption_just,[status(thm)],[c_11210,c_62,c_61,c_550,c_1162,c_7416]) ).
cnf(c_11215,plain,
( ~ incident(a2,ob)
| line_equal(ob,a2b2) ),
inference(renaming,[status(thm)],[c_11214]) ).
cnf(c_11216,plain,
( incident(c1,a2b2)
| incident(c1,a2c2)
| line_equal(ob,a2b2) ),
inference(superposition,[status(thm)],[c_7799,c_11215]) ).
cnf(c_11224,plain,
( incident(c1,a2b2)
| line_equal(oc,b1c1)
| point_equal(c1,bc) ),
inference(superposition,[status(thm)],[c_11180,c_8097]) ).
cnf(c_11245,plain,
( incident(c1,a2c2)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_11216,c_79,c_8243,c_11182]) ).
cnf(c_11246,plain,
( incident(c1,a2b2)
| incident(c1,a2c2) ),
inference(renaming,[status(thm)],[c_11245]) ).
cnf(c_11324,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a2c2)
| point_equal(a2,X0_13)
| line_equal(a2b2,a2c2) ),
inference(superposition,[status(thm)],[c_498,c_7619]) ).
cnf(c_11326,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,oa)
| point_equal(a2,X0_13)
| line_equal(oa,a2c2) ),
inference(superposition,[status(thm)],[c_484,c_7619]) ).
cnf(c_11327,plain,
( line_equal(oc,b1c1)
| incident(c1,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_11224,c_99,c_75,c_86,c_534,c_11166]) ).
cnf(c_11328,plain,
( incident(c1,a2b2)
| line_equal(oc,b1c1) ),
inference(renaming,[status(thm)],[c_11327]) ).
cnf(c_11330,plain,
( incident(c1,a2b2)
| line_equal(b1c1,oc) ),
inference(superposition,[status(thm)],[c_11328,c_469]) ).
cnf(c_11335,plain,
( incident(c1,a2b2)
| incident(a2,a1b1)
| line_equal(oc,a2c2) ),
inference(superposition,[status(thm)],[c_11328,c_7801]) ).
cnf(c_11345,plain,
( incident(c1,a2b2)
| incident(b1,oc) ),
inference(superposition,[status(thm)],[c_11330,c_7531]) ).
cnf(c_11381,plain,
( ~ incident(a1,oc)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_11345,c_7708]) ).
cnf(c_11385,plain,
~ incident(a1,oc),
inference(global_subsumption_just,[status(thm)],[c_11381,c_99,c_75,c_71,c_67,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_86,c_507,c_515,c_551,c_552,c_620,c_707,c_979,c_1180,c_1238,c_1658,c_3544,c_3941,c_4377,c_4902,c_6052,c_6093,c_7850,c_9900,c_11381]) ).
cnf(c_11418,plain,
( point_equal(a2,X0_13)
| ~ incident(X0_13,a2c2)
| ~ incident(X0_13,a2b2) ),
inference(global_subsumption_just,[status(thm)],[c_11324,c_62,c_58,c_57,c_552,c_1178,c_4002]) ).
cnf(c_11419,plain,
( ~ incident(X0_13,a2b2)
| ~ incident(X0_13,a2c2)
| point_equal(a2,X0_13) ),
inference(renaming,[status(thm)],[c_11418]) ).
cnf(c_11422,plain,
( ~ incident(ab,a2c2)
| point_equal(a2,ab) ),
inference(superposition,[status(thm)],[c_474,c_11419]) ).
cnf(c_11423,plain,
~ incident(ab,a2c2),
inference(global_subsumption_just,[status(thm)],[c_11422,c_99,c_80,c_79,c_75,c_74,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_52,c_50,c_507,c_515,c_529,c_550,c_551,c_552,c_561,c_575,c_602,c_605,c_610,c_620,c_647,c_707,c_808,c_979,c_982,c_983,c_996,c_1132,c_1157,c_1166,c_1179,c_1180,c_1184,c_1194,c_1237,c_1238,c_1245,c_1360,c_1658,c_1776,c_3395,c_3544,c_3874,c_3914,c_3915,c_3941,c_3977,c_3975,c_4044,c_4112,c_4377,c_4388,c_4489,c_4869,c_4902,c_5903,c_5928,c_5958,c_6052,c_6093,c_6427,c_6530,c_7290,c_7340,c_7734,c_7738,c_7806,c_8344,c_8413,c_8570,c_8974,c_9381,c_9436,c_9642,c_9900,c_9971,c_10816,c_11182,c_11381]) ).
cnf(c_11429,plain,
( point_equal(a2,X0_13)
| ~ incident(X0_13,oa)
| ~ incident(X0_13,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_11326,c_99,c_75,c_74,c_71,c_70,c_69,c_67,c_66,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_52,c_50,c_507,c_515,c_529,c_550,c_551,c_552,c_575,c_602,c_610,c_620,c_707,c_979,c_982,c_983,c_996,c_1132,c_1157,c_1180,c_1184,c_1194,c_1237,c_1238,c_1245,c_1658,c_3395,c_3544,c_3874,c_3914,c_3915,c_3941,c_3977,c_3975,c_4377,c_4381,c_4388,c_4489,c_4902,c_5928,c_5958,c_6052,c_6093,c_6530,c_7290,c_7738,c_7806,c_8344,c_8413,c_8974,c_9381,c_9436,c_9642,c_9900,c_9971,c_10816,c_11381]) ).
cnf(c_11430,plain,
( ~ incident(X0_13,a2c2)
| ~ incident(X0_13,oa)
| point_equal(a2,X0_13) ),
inference(renaming,[status(thm)],[c_11429]) ).
cnf(c_11432,plain,
( ~ incident(o,a2c2)
| point_equal(a2,o) ),
inference(superposition,[status(thm)],[c_488,c_11430]) ).
cnf(c_11443,plain,
( incident(c1,a2b2)
| line_equal(oc,a2c2) ),
inference(global_subsumption_just,[status(thm)],[c_11335,c_99,c_86,c_7048,c_11246]) ).
cnf(c_11450,plain,
( incident(c1,a2b2)
| incident(o,a2c2) ),
inference(superposition,[status(thm)],[c_11443,c_7536]) ).
cnf(c_11467,plain,
( incident(c1,a2b2)
| point_equal(a2,o) ),
inference(superposition,[status(thm)],[c_11450,c_11432]) ).
cnf(c_11482,plain,
( ~ incident(X0_13,b1c1)
| ~ incident(X0_13,ob)
| point_equal(b1,X0_13)
| line_equal(ob,b1c1) ),
inference(superposition,[status(thm)],[c_483,c_7622]) ).
cnf(c_11484,plain,
( ~ incident(a2,ob)
| incident(c1,a2b2)
| line_equal(ob,b1c1)
| point_equal(b1,a2) ),
inference(superposition,[status(thm)],[c_501,c_11482]) ).
cnf(c_11499,plain,
( incident(c1,a2b2)
| incident(a2,ob) ),
inference(superposition,[status(thm)],[c_11467,c_7565]) ).
cnf(c_11695,plain,
( ~ incident(a1,a1c1)
| ~ line_equal(a1c1,a2b2)
| incident(a1,a2b2) ),
inference(instantiation,[status(thm)],[c_2506]) ).
cnf(c_11724,plain,
( incident(c1,a2b2)
| point_equal(b1,a2) ),
inference(global_subsumption_just,[status(thm)],[c_11484,c_75,c_73,c_62,c_61,c_550,c_996,c_1132,c_1158,c_6435,c_9720,c_11385,c_11499]) ).
cnf(c_11727,plain,
( incident(c1,a2b2)
| point_equal(a2,b1) ),
inference(superposition,[status(thm)],[c_11724,c_472]) ).
cnf(c_11733,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,a1c1)
| point_equal(b2,X0_13)
| incident(a1,b2c2)
| line_equal(a1c1,b2c2) ),
inference(superposition,[status(thm)],[c_503,c_7624]) ).
cnf(c_11749,plain,
( incident(c1,a2b2)
| incident(a2,a1b1) ),
inference(superposition,[status(thm)],[c_11727,c_7553]) ).
cnf(c_11770,plain,
( incident(c1,a2b2)
| line_equal(oa,a1b1) ),
inference(superposition,[status(thm)],[c_11749,c_7912]) ).
cnf(c_11771,plain,
( incident(c1,a2b2)
| point_equal(ab,a2) ),
inference(superposition,[status(thm)],[c_11749,c_7839]) ).
cnf(c_11777,plain,
( incident(c1,a2b2)
| line_equal(a1b1,oa) ),
inference(superposition,[status(thm)],[c_11770,c_469]) ).
cnf(c_11785,plain,
( incident(ab,a2c2)
| incident(c1,a2b2) ),
inference(superposition,[status(thm)],[c_11771,c_7558]) ).
cnf(c_11787,plain,
incident(c1,a2b2),
inference(global_subsumption_just,[status(thm)],[c_11777,c_11423,c_11785]) ).
cnf(c_11793,plain,
( ~ incident(b1,a2b2)
| ~ incident(a1,a2b2) ),
inference(superposition,[status(thm)],[c_11787,c_457]) ).
cnf(c_11801,plain,
( ~ incident(c1,ob)
| line_equal(ob,a2b2)
| point_equal(b2,c1) ),
inference(superposition,[status(thm)],[c_11787,c_10310]) ).
cnf(c_11815,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,a1c1)
| point_equal(b2,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_11733,c_99,c_80,c_79,c_75,c_74,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_52,c_50,c_126,c_507,c_515,c_529,c_550,c_551,c_552,c_561,c_575,c_602,c_605,c_610,c_620,c_647,c_707,c_808,c_979,c_982,c_983,c_984,c_996,c_1132,c_1157,c_1166,c_1179,c_1180,c_1184,c_1194,c_1237,c_1238,c_1245,c_1360,c_1657,c_1658,c_1776,c_3395,c_3544,c_3874,c_3914,c_3915,c_3941,c_3977,c_3975,c_4044,c_4112,c_4171,c_4377,c_4382,c_4388,c_4415,c_4489,c_4869,c_4902,c_5221,c_5878,c_5903,c_5928,c_5958,c_6044,c_6052,c_6093,c_6530,c_7290,c_7340,c_7734,c_7738,c_7806,c_8344,c_8413,c_8570,c_8974,c_9381,c_9436,c_9642,c_9900,c_9971,c_10816,c_11182,c_11381,c_11785]) ).
cnf(c_11817,plain,
( ~ incident(a1,b2c2)
| ~ incident(a1,a1c1)
| point_equal(b2,a1) ),
inference(instantiation,[status(thm)],[c_11815]) ).
cnf(c_11827,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,oa)
| point_equal(a1,X0_13)
| line_equal(a1b1,oa) ),
inference(superposition,[status(thm)],[c_500,c_7628]) ).
cnf(c_11830,plain,
( point_equal(a1,X0_13)
| ~ incident(X0_13,oa)
| ~ incident(X0_13,a1b1) ),
inference(global_subsumption_just,[status(thm)],[c_11827,c_99,c_80,c_79,c_75,c_74,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_53,c_52,c_50,c_126,c_507,c_515,c_529,c_550,c_551,c_552,c_561,c_575,c_602,c_605,c_610,c_620,c_647,c_707,c_808,c_979,c_980,c_982,c_983,c_984,c_996,c_1132,c_1157,c_1166,c_1179,c_1180,c_1183,c_1184,c_1194,c_1237,c_1238,c_1245,c_1360,c_1658,c_1776,c_3395,c_3544,c_3874,c_3880,c_3914,c_3915,c_3941,c_3977,c_3975,c_4044,c_4112,c_4377,c_4382,c_4388,c_4489,c_4869,c_4902,c_5140,c_5889,c_5903,c_5928,c_5958,c_6044,c_6052,c_6093,c_6405,c_6530,c_6899,c_7024,c_7290,c_7340,c_7734,c_7738,c_7806,c_8344,c_8413,c_8561,c_8570,c_8974,c_9381,c_9436,c_9642,c_9850,c_9900,c_9971,c_10816,c_11182,c_11381,c_11785]) ).
cnf(c_11831,plain,
( ~ incident(X0_13,a1b1)
| ~ incident(X0_13,oa)
| point_equal(a1,X0_13) ),
inference(renaming,[status(thm)],[c_11830]) ).
cnf(c_11834,plain,
( ~ incident(a2,a1b1)
| point_equal(a1,a2) ),
inference(superposition,[status(thm)],[c_484,c_11831]) ).
cnf(c_11869,plain,
~ incident(b1,a2b2),
inference(global_subsumption_just,[status(thm)],[c_11793,c_99,c_74,c_64,c_63,c_62,c_61,c_59,c_58,c_57,c_56,c_55,c_84,c_53,c_52,c_507,c_525,c_550,c_552,c_565,c_916,c_1156,c_3768,c_4736,c_5399,c_7016,c_7850,c_8558,c_9173,c_9437,c_10806,c_11423,c_11785,c_11817,c_11834]) ).
cnf(c_12004,plain,
( line_equal(ob,a2b2)
| point_equal(b2,c1) ),
inference(global_subsumption_just,[status(thm)],[c_11801,c_99,c_80,c_79,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_52,c_50,c_126,c_507,c_515,c_529,c_550,c_551,c_552,c_561,c_575,c_602,c_605,c_610,c_620,c_647,c_707,c_808,c_979,c_982,c_983,c_984,c_996,c_1132,c_1135,c_1157,c_1162,c_1166,c_1179,c_1180,c_1184,c_1194,c_1237,c_1238,c_1245,c_1360,c_1658,c_1776,c_3395,c_3544,c_3874,c_3914,c_3915,c_3941,c_3977,c_3975,c_4044,c_4112,c_4377,c_4382,c_4388,c_4489,c_4869,c_4902,c_5200,c_5903,c_5928,c_5958,c_6044,c_6052,c_6055,c_6093,c_6530,c_7290,c_7340,c_7416,c_7734,c_7738,c_7806,c_8344,c_8413,c_8570,c_8974,c_9380,c_9381,c_9436,c_9606,c_9608,c_9642,c_9900,c_9971,c_10270,c_10816,c_11182,c_11381,c_11695,c_11785]) ).
cnf(c_12010,plain,
( incident(b2,oc)
| line_equal(ob,a2b2) ),
inference(superposition,[status(thm)],[c_12004,c_7571]) ).
cnf(c_12011,plain,
( incident(b2,b1c1)
| line_equal(ob,a2b2) ),
inference(superposition,[status(thm)],[c_12004,c_7560]) ).
cnf(c_12377,plain,
( incident(b1,a2b2)
| incident(b2,oc) ),
inference(superposition,[status(thm)],[c_12010,c_7539]) ).
cnf(c_12380,plain,
incident(b2,b1c1),
inference(global_subsumption_just,[status(thm)],[c_12011,c_99,c_80,c_79,c_75,c_74,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_88,c_87,c_86,c_85,c_84,c_53,c_52,c_50,c_126,c_507,c_515,c_525,c_529,c_550,c_551,c_552,c_561,c_565,c_575,c_602,c_605,c_610,c_620,c_647,c_707,c_808,c_979,c_982,c_983,c_984,c_996,c_1132,c_1156,c_1157,c_1166,c_1179,c_1180,c_1184,c_1194,c_1237,c_1238,c_1245,c_1360,c_1658,c_1776,c_3395,c_3544,c_3768,c_3874,c_3914,c_3915,c_3941,c_3977,c_3975,c_4044,c_4112,c_4377,c_4382,c_4388,c_4489,c_4736,c_4869,c_4902,c_5399,c_5903,c_5928,c_5958,c_6044,c_6052,c_6093,c_6530,c_7016,c_7290,c_7340,c_7734,c_7738,c_7806,c_8344,c_8413,c_8558,c_8570,c_8974,c_9173,c_9381,c_9436,c_9437,c_9608,c_9642,c_9900,c_9971,c_10806,c_10816,c_11182,c_11381,c_11785,c_11834,c_12377]) ).
cnf(c_12394,plain,
point_equal(bc,b2),
inference(superposition,[status(thm)],[c_12380,c_7724]) ).
cnf(c_12629,plain,
incident(bc,a2b2),
inference(superposition,[status(thm)],[c_12394,c_7555]) ).
cnf(c_14243,plain,
( ~ incident(X0_13,b2c2)
| ~ incident(X0_13,oc)
| point_equal(c2,X0_13)
| line_equal(oc,b2c2) ),
inference(superposition,[status(thm)],[c_480,c_7623]) ).
cnf(c_14383,plain,
line_equal(oc,b2c2),
inference(global_subsumption_just,[status(thm)],[c_14243,c_58,c_57,c_552,c_1184,c_7290,c_11869,c_12377]) ).
cnf(c_14391,plain,
incident(o,b2c2),
inference(superposition,[status(thm)],[c_14383,c_7536]) ).
cnf(c_15083,plain,
( ~ incident(o,oa)
| ~ point_equal(b2,o)
| incident(b2,oa) ),
inference(instantiation,[status(thm)],[c_2264]) ).
cnf(c_15088,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15083,c_14391,c_12629,c_12377,c_11869,c_11785,c_11423,c_11144,c_10929,c_9608,c_9245,c_6603,c_5805,c_5219,c_4697,c_4058,c_3964,c_3761,c_1194,c_1180,c_1162,c_585,c_552,c_550,c_529,c_515,c_507,c_85,c_87,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_66,c_67,c_68,c_70,c_72,c_73,c_74,c_75,c_78,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 23:49:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.32/1.17 % SZS status Started for theBenchmark.p
% 4.32/1.17 % SZS status Theorem for theBenchmark.p
% 4.32/1.17
% 4.32/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.32/1.17
% 4.32/1.17 ------ iProver source info
% 4.32/1.17
% 4.32/1.17 git: date: 2023-05-31 18:12:56 +0000
% 4.32/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.32/1.17 git: non_committed_changes: false
% 4.32/1.17 git: last_make_outside_of_git: false
% 4.32/1.17
% 4.32/1.17 ------ Parsing...
% 4.32/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.32/1.17
% 4.32/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 4.32/1.17
% 4.32/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.32/1.17 ------ Proving...
% 4.32/1.17 ------ Problem Properties
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17 clauses 50
% 4.32/1.17 conjectures 0
% 4.32/1.17 EPR 50
% 4.32/1.17 Horn 46
% 4.32/1.17 unary 33
% 4.32/1.17 binary 7
% 4.32/1.17 lits 80
% 4.32/1.17 lits eq 0
% 4.32/1.17 fd_pure 0
% 4.32/1.17 fd_pseudo 0
% 4.32/1.17 fd_cond 0
% 4.32/1.17 fd_pseudo_cond 0
% 4.32/1.17 AC symbols 0
% 4.32/1.17
% 4.32/1.17 ------ Input Options Time Limit: Unbounded
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17 ------
% 4.32/1.17 Current options:
% 4.32/1.17 ------
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17 ------ Proving...
% 4.32/1.17
% 4.32/1.17
% 4.32/1.17 % SZS status Theorem for theBenchmark.p
% 4.32/1.17
% 4.32/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.59/1.18
% 4.59/1.18
%------------------------------------------------------------------------------