TSTP Solution File: GEO169+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : 600s
% DateTime : Sat Jul 16 06:14:24 EDT 2022
% Result : Theorem 137.31s 137.54s
% Output : Refutation 137.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 47
% Syntax : Number of clauses : 255 ( 66 unt; 169 nHn; 255 RR)
% Number of literals : 630 ( 0 equ; 81 neg)
% Maximal clause size : 6 ( 2 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 : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ line_equal(X,X)
| ~ incident(bc,X)
| ~ incident(ac,X)
| ~ incident(ab,X)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
cnf(2,axiom,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1in2) ).
cnf(3,axiom,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2in1) ).
cnf(4,axiom,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_a) ).
cnf(5,axiom,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_b) ).
cnf(6,axiom,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_c) ).
cnf(7,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1b1) ).
cnf(8,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1a1) ).
cnf(9,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2b2) ).
cnf(10,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2a2) ).
cnf(11,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1c1) ).
cnf(12,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1a1) ).
cnf(13,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2c2) ).
cnf(14,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2a2) ).
cnf(15,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1b1) ).
cnf(16,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1c1) ).
cnf(17,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2b2) ).
cnf(18,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2c2) ).
cnf(19,axiom,
incident(o,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooa) ).
cnf(20,axiom,
incident(o,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ioob) ).
cnf(21,axiom,
incident(o,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooc) ).
cnf(22,axiom,
incident(a1,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1oa) ).
cnf(23,axiom,
incident(a2,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2oa) ).
cnf(24,axiom,
incident(b1,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1ob) ).
cnf(25,axiom,
incident(b2,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2ob) ).
cnf(26,axiom,
incident(c1,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1oc) ).
cnf(27,axiom,
incident(c2,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2oc) ).
cnf(28,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc1) ).
cnf(29,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc2) ).
cnf(30,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac1) ).
cnf(31,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac2) ).
cnf(32,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab1) ).
cnf(33,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab2) ).
cnf(34,axiom,
( ~ incident(a1,X)
| ~ incident(b1,X)
| ~ incident(c1,X)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle1) ).
cnf(35,axiom,
( ~ incident(a2,X)
| ~ incident(b2,X)
| ~ incident(c2,X)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle2) ).
cnf(36,axiom,
( ~ point_equal(a2,a1)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notaa) ).
cnf(37,axiom,
( ~ point_equal(b2,b1)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbb) ).
cnf(38,axiom,
( ~ point_equal(c2,c1)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notcc) ).
cnf(39,axiom,
( ~ line_equal(b1c1,b2c2)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbc) ).
cnf(40,axiom,
( ~ line_equal(a1c1,a2c2)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notac) ).
cnf(41,axiom,
( ~ line_equal(a1b1,a2b2)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notab) ).
cnf(44,axiom,
( ~ incident(X,Y)
| line_equal(Y,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
cnf(45,axiom,
( ~ line_equal(X,Y)
| ~ line_equal(Y,Z)
| line_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
cnf(46,axiom,
( ~ point_equal(X,Y)
| ~ incident(Y,Z)
| incident(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
cnf(47,axiom,
( ~ incident(X,Y)
| ~ line_equal(Y,Z)
| incident(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
cnf(48,axiom,
( ~ incident(X,Y)
| ~ incident(X,Z)
| ~ incident(U,Y)
| ~ incident(U,Z)
| point_equal(X,U)
| line_equal(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
cnf(49,negated_conjecture,
~ goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
cnf(50,plain,
( ~ line_equal(X,X)
| ~ incident(bc,X)
| ~ incident(ac,X)
| ~ incident(ab,X) ),
inference('REWRITE',[status(thm)],[1,49]) ).
cnf(51,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference('REWRITE',[status(thm)],[2,49]) ).
cnf(52,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference('REWRITE',[status(thm)],[3,49]) ).
cnf(53,plain,
( ~ incident(a1,X)
| ~ incident(b1,X)
| ~ incident(c1,X) ),
inference('REWRITE',[status(thm)],[34,49]) ).
cnf(54,plain,
( ~ incident(a2,X)
| ~ incident(b2,X)
| ~ incident(c2,X) ),
inference('REWRITE',[status(thm)],[35,49]) ).
cnf(55,plain,
~ point_equal(a2,a1),
inference('REWRITE',[status(thm)],[36,49]) ).
cnf(56,plain,
~ point_equal(b2,b1),
inference('REWRITE',[status(thm)],[37,49]) ).
cnf(57,plain,
~ point_equal(c2,c1),
inference('REWRITE',[status(thm)],[38,49]) ).
cnf(58,plain,
~ line_equal(b1c1,b2c2),
inference('REWRITE',[status(thm)],[39,49]) ).
cnf(59,plain,
~ line_equal(a1c1,a2c2),
inference('REWRITE',[status(thm)],[40,49]) ).
cnf(60,plain,
~ line_equal(a1b1,a2b2),
inference('REWRITE',[status(thm)],[41,49]) ).
cnf(72,plain,
line_equal(ob,ob),
inference('HYPERRESOLVE',[status(thm)],[44,20]) ).
cnf(73,plain,
line_equal(oa,oa),
inference('HYPERRESOLVE',[status(thm)],[44,19]) ).
cnf(78,plain,
line_equal(a2c2,a2c2),
inference('HYPERRESOLVE',[status(thm)],[44,13]) ).
cnf(80,plain,
~ incident(a1,b1c1),
inference('UR-RESOLVE',[status(thm)],[53,16,15]) ).
cnf(81,plain,
~ incident(c1,a1b1),
inference('UR-RESOLVE',[status(thm)],[53,7,8]) ).
cnf(82,plain,
~ incident(b1,a1c1),
inference('UR-RESOLVE',[status(thm)],[53,11,12]) ).
cnf(83,plain,
~ incident(a2,b2c2),
inference('UR-RESOLVE',[status(thm)],[54,18,17]) ).
cnf(84,plain,
~ incident(c2,a2b2),
inference('UR-RESOLVE',[status(thm)],[54,9,10]) ).
cnf(85,plain,
~ incident(b2,a2c2),
inference('UR-RESOLVE',[status(thm)],[54,13,14]) ).
cnf(86,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| point_equal(c2,a1)
| line_equal(a1b1,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[48,5,17,7,4]) ).
cnf(88,plain,
~ line_equal(a1c1,b1c1),
inference('UR-RESOLVE',[status(thm)],[47,80,11]) ).
cnf(89,plain,
~ line_equal(oa,b1c1),
inference('UR-RESOLVE',[status(thm)],[47,80,22]) ).
cnf(91,plain,
~ point_equal(a1,b1),
inference('UR-RESOLVE',[status(thm)],[46,80,16]) ).
cnf(92,plain,
~ point_equal(a1,bc),
inference('UR-RESOLVE',[status(thm)],[46,80,28]) ).
cnf(93,plain,
~ line_equal(a1c1,a1b1),
inference('UR-RESOLVE',[status(thm)],[47,81,12]) ).
cnf(94,plain,
~ line_equal(oc,a1b1),
inference('UR-RESOLVE',[status(thm)],[47,81,26]) ).
cnf(95,plain,
~ point_equal(c1,b1),
inference('UR-RESOLVE',[status(thm)],[46,81,8]) ).
cnf(97,plain,
~ line_equal(ob,a1c1),
inference('UR-RESOLVE',[status(thm)],[47,82,24]) ).
cnf(101,plain,
~ line_equal(oa,b2c2),
inference('UR-RESOLVE',[status(thm)],[47,83,23]) ).
cnf(102,plain,
~ point_equal(a2,c2),
inference('UR-RESOLVE',[status(thm)],[46,83,17]) ).
cnf(103,plain,
~ point_equal(a2,b2),
inference('UR-RESOLVE',[status(thm)],[46,83,18]) ).
cnf(105,plain,
~ line_equal(a2c2,a2b2),
inference('UR-RESOLVE',[status(thm)],[47,84,14]) ).
cnf(106,plain,
~ line_equal(oc,a2b2),
inference('UR-RESOLVE',[status(thm)],[47,84,27]) ).
cnf(107,plain,
~ point_equal(c2,b2),
inference('UR-RESOLVE',[status(thm)],[46,84,10]) ).
cnf(108,plain,
~ point_equal(c2,ab),
inference('UR-RESOLVE',[status(thm)],[46,84,33]) ).
cnf(109,plain,
~ line_equal(ob,a2c2),
inference('UR-RESOLVE',[status(thm)],[47,85,25]) ).
cnf(111,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| line_equal(a1b1,b2c2)
| incident(c2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,86,11]) ).
cnf(112,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| line_equal(a1b1,b2c2)
| incident(c2,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,86,22]) ).
cnf(115,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(c2,a1c1)
| incident(b1,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,111,8]) ).
cnf(119,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(c2,oa)
| incident(b1,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,112,8]) ).
cnf(133,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| line_equal(a1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,115,27,12,26]),57]) ).
cnf(143,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| line_equal(oa,a2c2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,119,14,23,13]),102]) ).
cnf(164,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| incident(o,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,133,21]) ).
cnf(183,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,143,19]) ).
cnf(219,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| point_equal(c2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,183,164,14,115]),59]) ).
cnf(249,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| incident(c2,ob) ),
inference('HYPERRESOLVE',[status(thm)],[46,219,20]) ).
cnf(285,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2)
| line_equal(b2c2,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,249,17,25,18]),107]) ).
cnf(312,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(b1,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,285,24]) ).
cnf(313,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| line_equal(a1b1,b2c2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,312,8,4,7]),91]) ).
cnf(314,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| point_equal(b1,bc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,312,16,29,28]),58]) ).
cnf(315,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| line_equal(b2c2,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,312,24,18,25]),56]) ).
cnf(316,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(ab,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,313,32]) ).
cnf(319,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(bc,ob) ),
inference('HYPERRESOLVE',[status(thm)],[46,314,24]) ).
cnf(320,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| line_equal(ob,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[45,315,313]) ).
cnf(323,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,315,20]) ).
cnf(324,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(ab,ob) ),
inference('HYPERRESOLVE',[status(thm)],[47,316,315]) ).
cnf(327,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(o,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[47,320,20]) ).
cnf(330,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| point_equal(a1,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,323,19,4,22]),101]) ).
cnf(336,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| point_equal(c2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,327,21,5,27]),94]) ).
cnf(338,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(o,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,330,11]) ).
cnf(340,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[46,336,14]) ).
cnf(345,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| point_equal(ac,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,340,338,31,30]),59]) ).
cnf(349,plain,
( incident(b1,a2c2)
| incident(b2,a1c1)
| incident(ac,ob) ),
inference('HYPERRESOLVE',[status(thm)],[46,345,20]) ).
cnf(353,plain,
( incident(b1,a2c2)
| incident(b2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[50,349,72,319,324]) ).
cnf(354,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| point_equal(b2,c1)
| line_equal(a1c1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[48,353,10,12,6]) ).
cnf(355,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| line_equal(a1c1,a2b2)
| incident(b2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,354,15]) ).
cnf(356,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| line_equal(a1c1,a2b2)
| incident(b2,oc) ),
inference('HYPERRESOLVE',[status(thm)],[46,354,26]) ).
cnf(359,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(b2,b1c1)
| incident(a1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,355,11]) ).
cnf(361,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(b2,b1c1)
| incident(a2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,355,9]) ).
cnf(363,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(b2,oc)
| incident(a1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,356,11]) ).
cnf(365,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(b2,oc)
| incident(a2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,356,9]) ).
cnf(377,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| line_equal(b1c1,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,359,25,16,24]),56]) ).
cnf(382,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| point_equal(b2,bc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,361,18,28,29]),58]) ).
cnf(383,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| line_equal(b1c1,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,361,25,16,24]),56]) ).
cnf(387,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| line_equal(b2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,363,18,27,17]),107]) ).
cnf(391,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| line_equal(b2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,365,18,27,17]),107]) ).
cnf(407,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,377,20]) ).
cnf(413,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| incident(bc,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,382,353]) ).
cnf(417,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,383,20]) ).
cnf(423,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,387,21]) ).
cnf(425,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,391,21]) ).
cnf(446,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| point_equal(b2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,423,407,18,359]),58]) ).
cnf(459,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| point_equal(bc,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,425,417,29,28]),58]) ).
cnf(467,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| incident(b2,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,446,19]) ).
cnf(480,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| incident(bc,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,459,19]) ).
cnf(488,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2)
| line_equal(oa,a2b2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,467,10,23,9]),103]) ).
cnf(498,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1)
| line_equal(a1c1,oa) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,480,413,22,11]),92]) ).
cnf(503,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,488,22]) ).
cnf(504,plain,
( incident(b1,a2c2)
| incident(a1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[52,503,353,5]) ).
cnf(505,plain,
( incident(a1,a2b2)
| incident(b2,a1c1)
| incident(a2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[51,504,4,6]) ).
cnf(506,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| point_equal(b2,c1)
| line_equal(a1c1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[48,505,10,12,6]) ).
cnf(512,plain,
( incident(b1,a2c2)
| incident(a2,b1c1)
| incident(a2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,498,23]) ).
cnf(513,plain,
( incident(b1,a2c2)
| incident(a2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[52,512,353,5]) ).
cnf(514,plain,
( incident(a2,a1c1)
| incident(b2,a1c1)
| incident(a2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[51,513,4,6]) ).
cnf(515,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| point_equal(b2,c1)
| line_equal(a1c1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[48,514,10,12,6]) ).
cnf(529,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| line_equal(a1c1,a2b2)
| incident(b2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,506,15]) ).
cnf(533,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| line_equal(a1c1,a2b2)
| incident(b2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,515,15]) ).
cnf(545,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| incident(b2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,529,11]) ).
cnf(546,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| point_equal(b2,c1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,545,505,15,12]),88]) ).
cnf(548,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| line_equal(b1c1,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,545,25,16,24]),56]) ).
cnf(549,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| incident(b2,oc) ),
inference('HYPERRESOLVE',[status(thm)],[46,546,26]) ).
cnf(556,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,548,20]) ).
cnf(558,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| line_equal(b2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,549,18,27,17]),107]) ).
cnf(563,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(b2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,533,9]) ).
cnf(564,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| point_equal(b2,c1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,563,514,15,12]),88]) ).
cnf(565,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| point_equal(b2,bc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,563,18,28,29]),58]) ).
cnf(566,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| line_equal(b1c1,ob) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,563,25,16,24]),56]) ).
cnf(567,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(b2,oc) ),
inference('HYPERRESOLVE',[status(thm)],[46,564,26]) ).
cnf(570,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(bc,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,565,514]) ).
cnf(574,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,566,20]) ).
cnf(576,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| line_equal(b2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,567,18,27,17]),107]) ).
cnf(583,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,558,21]) ).
cnf(586,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,576,21]) ).
cnf(626,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| point_equal(b2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,583,556,18,545]),58]) ).
cnf(633,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| point_equal(bc,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,586,574,29,28]),58]) ).
cnf(641,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| incident(b2,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,626,19]) ).
cnf(649,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| incident(bc,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,633,19]) ).
cnf(664,plain,
( incident(a1,a2b2)
| incident(a2,b1c1)
| line_equal(oa,a2b2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,641,10,23,9]),103]) ).
cnf(670,plain,
( incident(a2,a1c1)
| incident(a2,b1c1)
| line_equal(a1c1,oa) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,649,570,22,11]),92]) ).
cnf(681,plain,
( incident(a1,a2b2)
| incident(a2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,664,22]) ).
cnf(682,plain,
( incident(a1,a2b2)
| point_equal(a2,b1)
| line_equal(b1c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[48,681,13,16,504]) ).
cnf(684,plain,
( incident(a2,a1c1)
| incident(a2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,670,23]) ).
cnf(685,plain,
( incident(a2,a1c1)
| point_equal(a2,b1)
| line_equal(b1c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[48,684,13,16,513]) ).
cnf(700,plain,
( incident(a1,a2b2)
| line_equal(b1c1,a2c2)
| incident(a2,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,682,8]) ).
cnf(702,plain,
( incident(a1,a2b2)
| line_equal(b1c1,a2c2)
| incident(b1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,682,9]) ).
cnf(704,plain,
( incident(a2,a1c1)
| line_equal(b1c1,a2c2)
| incident(a2,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,685,8]) ).
cnf(706,plain,
( incident(a2,a1c1)
| line_equal(b1c1,a2c2)
| incident(b1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,685,9]) ).
cnf(714,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| incident(c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,700,15]) ).
cnf(716,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| incident(c2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,700,14]) ).
cnf(722,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| incident(c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,702,15]) ).
cnf(724,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| incident(c2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,702,14]) ).
cnf(730,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| incident(c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,704,15]) ).
cnf(732,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| incident(c2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,704,14]) ).
cnf(738,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| incident(c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,706,15]) ).
cnf(740,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| incident(c2,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,706,14]) ).
cnf(755,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| line_equal(a2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,714,26,14,27]),57]) ).
cnf(757,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| line_equal(b1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,716,27,15,26]),57]) ).
cnf(775,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| line_equal(a2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,722,26,14,27]),57]) ).
cnf(777,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| line_equal(b1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,724,27,15,26]),57]) ).
cnf(787,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| line_equal(a2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,730,26,14,27]),57]) ).
cnf(789,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| line_equal(b1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,732,27,15,26]),57]) ).
cnf(807,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| line_equal(a2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,738,26,14,27]),57]) ).
cnf(809,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| line_equal(b1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,740,27,15,26]),57]) ).
cnf(854,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,755,21]) ).
cnf(855,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,757,21]) ).
cnf(868,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,775,21]) ).
cnf(869,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,777,21]) ).
cnf(882,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,787,21]) ).
cnf(883,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,789,21]) ).
cnf(896,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| incident(o,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[47,807,21]) ).
cnf(897,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,809,21]) ).
cnf(973,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| point_equal(o,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,854,20,504,24]),109]) ).
cnf(974,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| point_equal(a2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,855,19,681,23]),89]) ).
cnf(986,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| point_equal(o,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,868,20,504,24]),109]) ).
cnf(987,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| point_equal(a2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,869,19,681,23]),89]) ).
cnf(1015,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| point_equal(o,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,882,20,513,24]),109]) ).
cnf(1016,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| point_equal(a2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,883,19,684,23]),89]) ).
cnf(1028,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| point_equal(o,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,896,20,513,24]),109]) ).
cnf(1029,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| point_equal(a2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,897,19,684,23]),89]) ).
cnf(1110,plain,
( incident(a1,a2b2)
| incident(a2,a1b1)
| incident(o,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,973,8]) ).
cnf(1118,plain,
( incident(a1,a2b2)
| incident(b1,a2b2)
| incident(o,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,987,9]) ).
cnf(1124,plain,
( incident(a2,a1c1)
| incident(a2,a1b1)
| incident(o,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,1015,8]) ).
cnf(1132,plain,
( incident(a2,a1c1)
| incident(b1,a2b2)
| incident(o,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1029,9]) ).
cnf(1222,plain,
( incident(a1,a2b2)
| incident(a2,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,1110,974]) ).
cnf(1223,plain,
( incident(a2,a1b1)
| point_equal(ab,a1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1222,7,33,32]),60]) ).
cnf(1224,plain,
( incident(a2,a1b1)
| line_equal(oa,a2b2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1222,22,9,23]),55]) ).
cnf(1229,plain,
( incident(a2,a1b1)
| incident(ab,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,1223,22]) ).
cnf(1231,plain,
( incident(a2,a1b1)
| incident(o,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,1224,19]) ).
cnf(1252,plain,
( incident(a1,a2b2)
| incident(b1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1118,986]) ).
cnf(1253,plain,
( incident(a1,a2b2)
| point_equal(a2,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1252,504,9,13]),105]) ).
cnf(1254,plain,
( incident(a1,a2b2)
| point_equal(ab,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1252,8,33,32]),60]) ).
cnf(1255,plain,
( incident(a1,a2b2)
| line_equal(ob,a2b2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1252,24,10,25]),56]) ).
cnf(1261,plain,
( incident(a1,a2b2)
| incident(b1,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,1253,23]) ).
cnf(1262,plain,
( incident(a1,a2b2)
| incident(ab,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1254,504]) ).
cnf(1266,plain,
( incident(a1,a2b2)
| incident(o,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,1255,20]) ).
cnf(1269,plain,
( incident(a1,a2b2)
| line_equal(oa,a1b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1261,8,22,7]),91]) ).
cnf(1301,plain,
( incident(a2,a1c1)
| incident(a2,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[46,1124,1016]) ).
cnf(1302,plain,
( incident(a2,a1b1)
| line_equal(a1c1,a2b2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1301,9,11,1222]),55]) ).
cnf(1303,plain,
( incident(a2,a1b1)
| point_equal(a2,ac) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1301,13,30,31]),59]) ).
cnf(1306,plain,
( incident(a2,a1b1)
| incident(c1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[47,1302,12]) ).
cnf(1308,plain,
( incident(a2,a1b1)
| incident(b2,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,1302,10]) ).
cnf(1309,plain,
( incident(a2,a1b1)
| incident(o,a1c1) ),
inference('HYPERRESOLVE',[status(thm)],[47,1302,1231]) ).
cnf(1310,plain,
( incident(a2,a1b1)
| incident(ac,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,1303,23]) ).
cnf(1312,plain,
( incident(a2,a1b1)
| point_equal(c1,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1306,26,1231,21]),106]) ).
cnf(1316,plain,
( incident(a2,a1c1)
| incident(b1,a2b2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1132,1028]) ).
cnf(1318,plain,
( incident(a2,a1c1)
| point_equal(ab,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1316,8,33,32]),60]) ).
cnf(1326,plain,
( incident(a2,a1c1)
| incident(ab,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1318,513]) ).
cnf(1367,plain,
( incident(a1,a2b2)
| incident(o,a1b1) ),
inference('HYPERRESOLVE',[status(thm)],[47,1269,19]) ).
cnf(1368,plain,
( incident(a2,a1b1)
| point_equal(b2,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1309,20,1308,25]),97]) ).
cnf(1370,plain,
( incident(a2,a1b1)
| incident(o,b1c1) ),
inference('HYPERRESOLVE',[status(thm)],[46,1312,15]) ).
cnf(1394,plain,
( incident(a1,a2b2)
| point_equal(o,b1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1367,1266,8,1252]),60]) ).
cnf(1395,plain,
( incident(a1,a2b2)
| point_equal(o,ab) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1367,1266,32,33]),60]) ).
cnf(1397,plain,
( incident(a2,a1b1)
| incident(o,b2c2) ),
inference('HYPERRESOLVE',[status(thm)],[46,1368,18]) ).
cnf(1503,plain,
( incident(a1,a2b2)
| incident(b1,oc) ),
inference('HYPERRESOLVE',[status(thm)],[46,1394,21]) ).
cnf(1505,plain,
( incident(a1,a2b2)
| incident(ab,oc) ),
inference('HYPERRESOLVE',[status(thm)],[46,1395,21]) ).
cnf(1508,plain,
( incident(a2,a1b1)
| point_equal(bc,o) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1397,1370,29,28]),58]) ).
cnf(1535,plain,
( incident(a1,a2b2)
| line_equal(b1c1,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1503,16,26,15]),95]) ).
cnf(1536,plain,
( incident(a1,a2b2)
| line_equal(a2c2,oc) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,1505,1262,27,14]),108]) ).
cnf(1539,plain,
( incident(a2,a1b1)
| incident(bc,oa) ),
inference('HYPERRESOLVE',[status(thm)],[46,1508,19]) ).
cnf(1559,plain,
( incident(a1,a2b2)
| line_equal(b1c1,a2c2) ),
inference('HYPERRESOLVE',[status(thm)],[45,1536,1535]) ).
cnf(1562,plain,
incident(a2,a1b1),
inference('HYPERRESOLVE',[status(thm)],[50,1539,73,1310,1229]) ).
cnf(1563,plain,
~ incident(a2,a1c1),
inference('UR-RESOLVE',[status(thm)],[48,1562,7,11,55,93]) ).
cnf(1574,plain,
incident(ab,a2c2),
inference('REWRITE',[status(thm)],[1326,1563]) ).
cnf(1593,plain,
~ incident(a1,a2b2),
inference('UR-RESOLVE',[status(thm)],[48,1562,9,7,55,60]) ).
cnf(1596,plain,
line_equal(b1c1,a2c2),
inference('REWRITE',[status(thm)],[1559,1593]) ).
cnf(1623,plain,
~ incident(bc,a2c2),
inference('UR-RESOLVE',[status(thm)],[50,1574,78,31]) ).
cnf(1632,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[47,1623,28]),1596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 15:39:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:39:18
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T15:39:18
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|point_equal| ?X ?Y)) (|point_equal| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|line_equal| ?X ?Y)) (|line_equal| ?Y ?X)).
% 0.19/0.48 ; Declaring line_equal to be commutative.
% 137.31/137.54 ; Declaring point_equal to be commutative.
% 137.31/137.54
% 137.31/137.54 #||
% 137.31/137.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.31/137.54 % SZS output start Refutation
% See solution above
% 137.31/137.57 ||#
% 137.31/137.57
% 137.31/137.57 ; Summary of computation:
% 137.31/137.57 ; 2947870 formulas have been input or derived (from 986 formulas).
% 137.31/137.57 ; 1632 ( 0%) were retained. Of these,
% 137.31/137.57 ; 1467 (90%) were simplified or subsumed later,
% 137.31/137.57 ; 165 (10%) are still being kept.
% 137.31/137.57 ;
% 137.31/137.57 ; Run time in seconds excluding printing time:
% 137.31/137.57 ; 0.006 0% Read assertion file (1 call)
% 137.31/137.57 ; 0.001 0% Assert (51 calls)
% 137.31/137.57 ; 4.774 3% Process new row (1,934,767 calls)
% 137.31/137.57 ; 39.968 29% Resolution (1,970 calls)
% 137.31/137.57 ; 0.006 0% Paramodulation (985 calls)
% 137.31/137.57 ; 0.003 0% Factoring (850 calls)
% 137.31/137.57 ; 0.471 0% Condensing (300,208 calls)
% 137.31/137.57 ; 49.546 36% Forward subsumption (300,208 calls)
% 137.31/137.57 ; 0.085 0% Backward subsumption (1,480 calls)
% 137.31/137.57 ; 4.350 3% Clause clause subsumption (2,159,394 calls)
% 137.31/137.57 ; 32.707 24% Forward simplification (1,780,534 calls)
% 137.31/137.57 ; 0.007 0% Backward simplification (1,632 calls)
% 137.31/137.57 ; 0.020 0% Ordering (5,842 calls)
% 137.31/137.57 ; 0.000 0% Sortal reasoning (32 calls)
% 137.31/137.57 ; 0.000 0% Purity testing (1 call)
% 137.31/137.57 ; 5.094 4% Other
% 137.31/137.57 ; 137.038 Total
% 137.31/137.57 ; 137.102 Real time
% 137.31/137.57 ;
% 137.31/137.57 ; Term-hash-array has 210 terms in all.
% 137.31/137.57 ; Feature-vector-row-index has 13 entries (493 at peak, 1,480 added, 1,467 deleted).
% 137.31/137.57 ; Feature-vector-row-index has 42 nodes (1,658 at peak, 5,080 added, 5,038 deleted).
% 137.31/137.57 ; Retrieved 18,009,126 possibly forward subsuming rows in 300,208 calls.
% 137.31/137.57 ; Retrieved 3,275 possibly backward subsumed rows in 1,480 calls.
% 137.31/137.57 ; Path-index has 198 entries (198 at peak, 501 added, 303 deleted).
% 137.31/137.57 ; Path-index has 68 nodes (68 at peak, 80 added, 12 deleted).
% 137.31/137.57 ; Trie-index has 198 entries (198 at peak, 501 added, 303 deleted).
% 137.31/137.57 ; Trie-index has 222 nodes (222 at peak, 530 added, 308 deleted).
% 137.31/137.57 ; Retrieved 2,288,670 generalization terms in 12,610,770 calls.
% 137.31/137.57 ; Retrieved 163 instance terms in 151 calls.
% 137.31/137.57 ; Retrieved 1,469,055 unifiable terms in 657,869 calls.
% 137.31/137.57 ;
% 137.31/137.57 ; The agenda of rows to process has 7 entries:
% 137.31/137.57 ; 7 with value 55
% 137.31/137.57 ; The agenda of rows to give has 30 entries:
% 137.31/137.57 ; 4 with value (4 54) 5 with value (4 57) 5 with value (4 59)
% 137.31/137.57 ; 5 with value (4 55) 3 with value (4 58) 6 with value (4 60)
% 137.31/137.57 ; 2 with value (4 56)
% 137.31/137.57 Evaluation took:
% 137.31/137.57 137.102 seconds of real time
% 137.31/137.57 127.40002 seconds of user run time
% 137.31/137.57 9.660555 seconds of system run time
% 137.31/137.57 [Run times include 8.038 seconds GC run time.]
% 137.31/137.57 0 calls to %EVAL
% 137.31/137.57 0 page faults and
% 137.31/137.57 16,959,711,792 bytes consed.
% 137.31/137.57 :PROOF-FOUND
% 137.31/137.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:41:35
% 137.31/137.57 :PROOF-FOUND
% 137.31/137.57 *
%------------------------------------------------------------------------------