TSTP Solution File: GEO169+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.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 05:07:45 EDT 2022
% Result : Theorem 3.71s 3.92s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 74
% Syntax : Number of formulae : 308 ( 178 unt; 23 typ; 0 def)
% Number of atoms : 1526 ( 405 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1923 ( 258 ~; 355 |; 36 &;1234 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 22 con; 0-2 aty)
% Number of variables : 299 ( 0 ^ 299 !; 0 ?; 299 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a1b1,type,
a1b1: $i ).
thf(tp_a1c1,type,
a1c1: $i ).
thf(tp_a2,type,
a2: $i ).
thf(tp_a2b2,type,
a2b2: $i ).
thf(tp_a2c2,type,
a2c2: $i ).
thf(tp_ab,type,
ab: $i ).
thf(tp_ac,type,
ac: $i ).
thf(tp_b1,type,
b1: $i ).
thf(tp_b1c1,type,
b1c1: $i ).
thf(tp_b2,type,
b2: $i ).
thf(tp_b2c2,type,
b2c2: $i ).
thf(tp_bc,type,
bc: $i ).
thf(tp_c1,type,
c1: $i ).
thf(tp_c2,type,
c2: $i ).
thf(tp_goal,type,
goal: $o ).
thf(tp_incident,type,
incident: $i > $i > $o ).
thf(tp_line_equal,type,
line_equal: $i > $i > $o ).
thf(tp_o,type,
o: $i ).
thf(tp_oa,type,
oa: $i ).
thf(tp_ob,type,
ob: $i ).
thf(tp_oc,type,
oc: $i ).
thf(tp_point_equal,type,
point_equal: $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( incident @ A @ C )
& ( incident @ A @ D )
& ( incident @ B @ C )
& ( incident @ B @ D ) )
=> ( ( point_equal @ A @ B )
| ( line_equal @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( line_equal @ B @ C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( line_equal @ A @ B )
& ( line_equal @ B @ C ) )
=> ( line_equal @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( line_equal @ A @ B )
=> ( line_equal @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line_equal @ B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( point_equal @ B @ C ) )
=> ( point_equal @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( point_equal @ A @ B )
=> ( point_equal @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point_equal @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
thf(10,axiom,
( ( line_equal @ a1b1 @ a2b2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notab) ).
thf(11,axiom,
( ( line_equal @ a1c1 @ a2c2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notac) ).
thf(12,axiom,
( ( line_equal @ b1c1 @ b2c2 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbc) ).
thf(13,axiom,
( ( point_equal @ c2 @ c1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notcc) ).
thf(14,axiom,
( ( point_equal @ b2 @ b1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbb) ).
thf(15,axiom,
( ( point_equal @ a2 @ a1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notaa) ).
thf(16,axiom,
! [A: $i] :
( ( ( incident @ a2 @ A )
& ( incident @ b2 @ A )
& ( incident @ c2 @ A ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle2) ).
thf(17,axiom,
! [A: $i] :
( ( ( incident @ a1 @ A )
& ( incident @ b1 @ A )
& ( incident @ c1 @ A ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle1) ).
thf(18,axiom,
incident @ ab @ a2b2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab2) ).
thf(19,axiom,
incident @ ab @ a1b1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab1) ).
thf(20,axiom,
incident @ ac @ a2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac2) ).
thf(21,axiom,
incident @ ac @ a1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac1) ).
thf(22,axiom,
incident @ bc @ b2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc2) ).
thf(23,axiom,
incident @ bc @ b1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc1) ).
thf(24,axiom,
incident @ c2 @ oc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2oc) ).
thf(25,axiom,
incident @ c1 @ oc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1oc) ).
thf(26,axiom,
incident @ b2 @ ob,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2ob) ).
thf(27,axiom,
incident @ b1 @ ob,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1ob) ).
thf(28,axiom,
incident @ a2 @ oa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2oa) ).
thf(29,axiom,
incident @ a1 @ oa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1oa) ).
thf(30,axiom,
incident @ o @ oc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooc) ).
thf(31,axiom,
incident @ o @ ob,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ioob) ).
thf(32,axiom,
incident @ o @ oa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooa) ).
thf(33,axiom,
incident @ b2 @ b2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2c2) ).
thf(34,axiom,
incident @ c2 @ b2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2b2) ).
thf(35,axiom,
incident @ b1 @ b1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1c1) ).
thf(36,axiom,
incident @ c1 @ b1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1b1) ).
thf(37,axiom,
incident @ c2 @ a2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2a2) ).
thf(38,axiom,
incident @ a2 @ a2c2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2c2) ).
thf(39,axiom,
incident @ c1 @ a1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1a1) ).
thf(40,axiom,
incident @ a1 @ a1c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1c1) ).
thf(41,axiom,
incident @ b2 @ a2b2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2a2) ).
thf(42,axiom,
incident @ a2 @ a2b2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2b2) ).
thf(43,axiom,
incident @ b1 @ a1b1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1a1) ).
thf(44,axiom,
incident @ a1 @ a1b1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1b1) ).
thf(45,axiom,
( ( incident @ c1 @ a2b2 )
| ( incident @ a2 @ b1c1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_c) ).
thf(46,axiom,
( ( incident @ b1 @ a2c2 )
| ( incident @ c2 @ a1b1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_b) ).
thf(47,axiom,
( ( incident @ a1 @ b2c2 )
| ( incident @ b2 @ a1c1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_a) ).
thf(48,axiom,
( ( ( incident @ a2 @ b1c1 )
& ( incident @ b2 @ a1c1 )
& ( incident @ c2 @ a1b1 ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2in1) ).
thf(49,axiom,
( ( ( incident @ a1 @ b2c2 )
& ( incident @ b1 @ a2c2 )
& ( incident @ c1 @ a2b2 ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1in2) ).
thf(50,axiom,
! [A: $i] :
( ( ( line_equal @ A @ A )
& ( incident @ bc @ A )
& ( incident @ ac @ A )
& ( incident @ ab @ A ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).
thf(51,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(52,negated_conjecture,
goal = $false,
inference(negate_conjecture,[status(cth)],[51]) ).
thf(53,plain,
goal = $false,
inference(unfold_def,[status(thm)],[52]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( incident @ A @ C )
& ( incident @ A @ D )
& ( incident @ B @ C )
& ( incident @ B @ D ) )
=> ( ( point_equal @ A @ B )
| ( line_equal @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( line_equal @ B @ C ) )
=> ( incident @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( line_equal @ A @ B )
& ( line_equal @ B @ C ) )
=> ( line_equal @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ( line_equal @ A @ B )
=> ( line_equal @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line_equal @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( point_equal @ B @ C ) )
=> ( point_equal @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( point_equal @ A @ B )
=> ( point_equal @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point_equal @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(63,plain,
( ( ( line_equal @ a1b1 @ a2b2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(64,plain,
( ( ( line_equal @ a1c1 @ a2c2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(65,plain,
( ( ( line_equal @ b1c1 @ b2c2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(66,plain,
( ( ( point_equal @ c2 @ c1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(67,plain,
( ( ( point_equal @ b2 @ b1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(68,plain,
( ( ( point_equal @ a2 @ a1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(69,plain,
( ( ! [A: $i] :
( ( ( incident @ a2 @ A )
& ( incident @ b2 @ A )
& ( incident @ c2 @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(70,plain,
( ( ! [A: $i] :
( ( ( incident @ a1 @ A )
& ( incident @ b1 @ A )
& ( incident @ c1 @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(71,plain,
( ( incident @ ab @ a2b2 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(72,plain,
( ( incident @ ab @ a1b1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(73,plain,
( ( incident @ ac @ a2c2 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(74,plain,
( ( incident @ ac @ a1c1 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(75,plain,
( ( incident @ bc @ b2c2 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(76,plain,
( ( incident @ bc @ b1c1 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(77,plain,
( ( incident @ c2 @ oc )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(78,plain,
( ( incident @ c1 @ oc )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(79,plain,
( ( incident @ b2 @ ob )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(80,plain,
( ( incident @ b1 @ ob )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(81,plain,
( ( incident @ a2 @ oa )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(82,plain,
( ( incident @ a1 @ oa )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(83,plain,
( ( incident @ o @ oc )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(84,plain,
( ( incident @ o @ ob )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(85,plain,
( ( incident @ o @ oa )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(86,plain,
( ( incident @ b2 @ b2c2 )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(87,plain,
( ( incident @ c2 @ b2c2 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(88,plain,
( ( incident @ b1 @ b1c1 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(89,plain,
( ( incident @ c1 @ b1c1 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(90,plain,
( ( incident @ c2 @ a2c2 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(91,plain,
( ( incident @ a2 @ a2c2 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(92,plain,
( ( incident @ c1 @ a1c1 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(93,plain,
( ( incident @ a1 @ a1c1 )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(94,plain,
( ( incident @ b2 @ a2b2 )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(95,plain,
( ( incident @ a2 @ a2b2 )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(96,plain,
( ( incident @ b1 @ a1b1 )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(97,plain,
( ( incident @ a1 @ a1b1 )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(98,plain,
( ( ( incident @ c1 @ a2b2 )
| ( incident @ a2 @ b1c1 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(99,plain,
( ( ( incident @ b1 @ a2c2 )
| ( incident @ c2 @ a1b1 ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(100,plain,
( ( ( incident @ a1 @ b2c2 )
| ( incident @ b2 @ a1c1 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(101,plain,
( ( ( ( incident @ a2 @ b1c1 )
& ( incident @ b2 @ a1c1 )
& ( incident @ c2 @ a1b1 ) )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(102,plain,
( ( ( ( incident @ a1 @ b2c2 )
& ( incident @ b1 @ a2c2 )
& ( incident @ c1 @ a2b2 ) )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(103,plain,
( ( ! [A: $i] :
( ( ( line_equal @ A @ A )
& ( incident @ bc @ A )
& ( incident @ ac @ A )
& ( incident @ ab @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(104,plain,
( ( ~ goal )
= $true ),
inference(polarity_switch,[status(thm)],[53]) ).
thf(105,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( incident @ A @ C )
| ~ ( incident @ A @ D )
| ~ ( incident @ B @ C )
| ~ ( incident @ B @ D )
| ( line_equal @ C @ D )
| ( point_equal @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident @ A @ B )
| ~ ( line_equal @ B @ C )
| ( incident @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident @ B @ C )
| ~ ( point_equal @ A @ B )
| ( incident @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(108,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( line_equal @ A @ B )
| ~ ( line_equal @ B @ C )
| ( line_equal @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ~ ( line_equal @ A @ B )
| ( line_equal @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident @ A @ B )
| ( line_equal @ B @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( point_equal @ A @ B )
| ~ ( point_equal @ B @ C )
| ( point_equal @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point_equal @ A @ B )
| ( point_equal @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(113,plain,
( ( ! [A: $i] :
( ! [B: $i] :
~ ( incident @ A @ B )
| ( point_equal @ A @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(114,plain,
( ( ~ ( line_equal @ a1b1 @ a2b2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(115,plain,
( ( ~ ( line_equal @ a1c1 @ a2c2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(116,plain,
( ( ~ ( line_equal @ b1c1 @ b2c2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(117,plain,
( ( ~ ( point_equal @ c2 @ c1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(118,plain,
( ( ~ ( point_equal @ b2 @ b1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(119,plain,
( ( ~ ( point_equal @ a2 @ a1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(120,plain,
( ( ! [A: $i] :
( ~ ( incident @ a2 @ A )
| ~ ( incident @ b2 @ A )
| ~ ( incident @ c2 @ A ) )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(121,plain,
( ( ! [A: $i] :
( ~ ( incident @ a1 @ A )
| ~ ( incident @ b1 @ A )
| ~ ( incident @ c1 @ A ) )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(122,plain,
( ( ~ ( incident @ a2 @ b1c1 )
| ~ ( incident @ b2 @ a1c1 )
| ~ ( incident @ c2 @ a1b1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(123,plain,
( ( ~ ( incident @ a1 @ b2c2 )
| ~ ( incident @ b1 @ a2c2 )
| ~ ( incident @ c1 @ a2b2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(124,plain,
( ( ! [A: $i] :
( ~ ( incident @ bc @ A )
| ~ ( line_equal @ A @ A )
| ~ ( incident @ ac @ A )
| ~ ( incident @ ab @ A ) )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(125,plain,
( ( ! [A: $i] :
( ~ ( incident @ bc @ A )
| ~ ( line_equal @ A @ A )
| ~ ( incident @ ac @ A )
| ~ ( incident @ ab @ A ) )
| goal )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(126,plain,
( ( ~ ( incident @ a1 @ b2c2 )
| ~ ( incident @ b1 @ a2c2 )
| ~ ( incident @ c1 @ a2b2 )
| goal )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(127,plain,
( ( ~ ( incident @ a2 @ b1c1 )
| ~ ( incident @ b2 @ a1c1 )
| ~ ( incident @ c2 @ a1b1 )
| goal )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(128,plain,
( ( ( incident @ a1 @ b2c2 )
| ( incident @ b2 @ a1c1 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(129,plain,
( ( ( incident @ b1 @ a2c2 )
| ( incident @ c2 @ a1b1 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(130,plain,
( ( ( incident @ c1 @ a2b2 )
| ( incident @ a2 @ b1c1 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(131,plain,
( ( incident @ a1 @ a1b1 )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(132,plain,
( ( incident @ b1 @ a1b1 )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(133,plain,
( ( incident @ a2 @ a2b2 )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(134,plain,
( ( incident @ b2 @ a2b2 )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(135,plain,
( ( incident @ a1 @ a1c1 )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(136,plain,
( ( incident @ c1 @ a1c1 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(137,plain,
( ( incident @ a2 @ a2c2 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(138,plain,
( ( incident @ c2 @ a2c2 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(139,plain,
( ( incident @ c1 @ b1c1 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(140,plain,
( ( incident @ b1 @ b1c1 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(141,plain,
( ( incident @ c2 @ b2c2 )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(142,plain,
( ( incident @ b2 @ b2c2 )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(143,plain,
( ( incident @ o @ oa )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(144,plain,
( ( incident @ o @ ob )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(145,plain,
( ( incident @ o @ oc )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(146,plain,
( ( incident @ a1 @ oa )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(147,plain,
( ( incident @ a2 @ oa )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(148,plain,
( ( incident @ b1 @ ob )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(149,plain,
( ( incident @ b2 @ ob )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(150,plain,
( ( incident @ c1 @ oc )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(151,plain,
( ( incident @ c2 @ oc )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(152,plain,
( ( incident @ bc @ b1c1 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(153,plain,
( ( incident @ bc @ b2c2 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(154,plain,
( ( incident @ ac @ a1c1 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(155,plain,
( ( incident @ ac @ a2c2 )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(156,plain,
( ( incident @ ab @ a1b1 )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(157,plain,
( ( incident @ ab @ a2b2 )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(158,plain,
( ( ! [A: $i] :
( ~ ( incident @ a1 @ A )
| ~ ( incident @ b1 @ A )
| ~ ( incident @ c1 @ A ) )
| goal )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(159,plain,
( ( ! [A: $i] :
( ~ ( incident @ a2 @ A )
| ~ ( incident @ b2 @ A )
| ~ ( incident @ c2 @ A ) )
| goal )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(160,plain,
( ( ~ ( point_equal @ a2 @ a1 )
| goal )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(161,plain,
( ( ~ ( point_equal @ b2 @ b1 )
| goal )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(162,plain,
( ( ~ ( point_equal @ c2 @ c1 )
| goal )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(163,plain,
( ( ~ ( line_equal @ b1c1 @ b2c2 )
| goal )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(164,plain,
( ( ~ ( line_equal @ a1c1 @ a2c2 )
| goal )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(165,plain,
( ( ~ ( line_equal @ a1b1 @ a2b2 )
| goal )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(166,plain,
( ( ! [A: $i] :
( ! [B: $i] :
~ ( incident @ A @ B )
| ( point_equal @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point_equal @ A @ B )
| ( point_equal @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( point_equal @ A @ B )
| ~ ( point_equal @ B @ C )
| ( point_equal @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(169,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident @ A @ B )
| ( line_equal @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(170,plain,
( ( ! [A: $i,B: $i] :
( ~ ( line_equal @ A @ B )
| ( line_equal @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(171,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( line_equal @ A @ B )
| ~ ( line_equal @ B @ C )
| ( line_equal @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(172,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident @ B @ C )
| ~ ( point_equal @ A @ B )
| ( incident @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(173,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident @ A @ B )
| ~ ( line_equal @ B @ C )
| ( incident @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(174,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( incident @ A @ C )
| ~ ( incident @ A @ D )
| ~ ( incident @ B @ C )
| ~ ( incident @ B @ D )
| ( line_equal @ C @ D )
| ( point_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(175,plain,
( ( ~ goal )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(176,plain,
( ( ( ! [A: $i] :
( ~ ( incident @ bc @ A )
| ~ ( line_equal @ A @ A )
| ~ ( incident @ ac @ A )
| ~ ( incident @ ab @ A ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(177,plain,
( ( ( ~ ( incident @ a1 @ b2c2 )
| ~ ( incident @ b1 @ a2c2 )
| ~ ( incident @ c1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(178,plain,
( ( ( ~ ( incident @ a2 @ b1c1 )
| ~ ( incident @ b2 @ a1c1 )
| ~ ( incident @ c2 @ a1b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(179,plain,
( ( ( incident @ a1 @ b2c2 )
= $true )
| ( ( incident @ b2 @ a1c1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(180,plain,
( ( ( incident @ b1 @ a2c2 )
= $true )
| ( ( incident @ c2 @ a1b1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(181,plain,
( ( ( incident @ c1 @ a2b2 )
= $true )
| ( ( incident @ a2 @ b1c1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(182,plain,
( ( ( ! [A: $i] :
( ~ ( incident @ a1 @ A )
| ~ ( incident @ b1 @ A )
| ~ ( incident @ c1 @ A ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(183,plain,
( ( ( ! [A: $i] :
( ~ ( incident @ a2 @ A )
| ~ ( incident @ b2 @ A )
| ~ ( incident @ c2 @ A ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(184,plain,
( ( ( ~ ( point_equal @ a2 @ a1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(185,plain,
( ( ( ~ ( point_equal @ b2 @ b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(186,plain,
( ( ( ~ ( point_equal @ c2 @ c1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(187,plain,
( ( ( ~ ( line_equal @ b1c1 @ b2c2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(188,plain,
( ( ( ~ ( line_equal @ a1c1 @ a2c2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(189,plain,
( ( ( ~ ( line_equal @ a1b1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV1: $i] :
( ( ! [SY27: $i] :
~ ( incident @ SV1 @ SY27 )
| ( point_equal @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV2: $i] :
( ( ! [SY28: $i] :
( ~ ( point_equal @ SV2 @ SY28 )
| ( point_equal @ SY28 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(192,plain,
! [SV3: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( point_equal @ SV3 @ SY29 )
| ~ ( point_equal @ SY29 @ SY30 )
| ( point_equal @ SV3 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV4: $i] :
( ( ! [SY31: $i] :
( ~ ( incident @ SV4 @ SY31 )
| ( line_equal @ SY31 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(194,plain,
! [SV5: $i] :
( ( ! [SY32: $i] :
( ~ ( line_equal @ SV5 @ SY32 )
| ( line_equal @ SY32 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(195,plain,
! [SV6: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ~ ( line_equal @ SV6 @ SY33 )
| ~ ( line_equal @ SY33 @ SY34 )
| ( line_equal @ SV6 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(196,plain,
! [SV7: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ~ ( incident @ SY35 @ SY36 )
| ~ ( point_equal @ SV7 @ SY35 )
| ( incident @ SV7 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(197,plain,
! [SV8: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ~ ( incident @ SV8 @ SY37 )
| ~ ( line_equal @ SY37 @ SY38 )
| ( incident @ SV8 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(198,plain,
! [SV9: $i] :
( ( ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( incident @ SV9 @ SY40 )
| ~ ( incident @ SV9 @ SY41 )
| ~ ( incident @ SY39 @ SY40 )
| ~ ( incident @ SY39 @ SY41 )
| ( line_equal @ SY40 @ SY41 )
| ( point_equal @ SV9 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(199,plain,
goal = $false,
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(200,plain,
! [SV10: $i] :
( ( ( ~ ( incident @ bc @ SV10 )
| ~ ( line_equal @ SV10 @ SV10 )
| ~ ( incident @ ac @ SV10 )
| ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(201,plain,
( ( ( ~ ( incident @ a1 @ b2c2 )
| ~ ( incident @ b1 @ a2c2 ) )
= $true )
| ( ( ~ ( incident @ c1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(202,plain,
( ( ( ~ ( incident @ a2 @ b1c1 )
| ~ ( incident @ b2 @ a1c1 ) )
= $true )
| ( ( ~ ( incident @ c2 @ a1b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(203,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ a1 @ SV11 )
| ~ ( incident @ b1 @ SV11 )
| ~ ( incident @ c1 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV12: $i] :
( ( ( ~ ( incident @ a2 @ SV12 )
| ~ ( incident @ b2 @ SV12 )
| ~ ( incident @ c2 @ SV12 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(205,plain,
( ( ( point_equal @ a2 @ a1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(206,plain,
( ( ( point_equal @ b2 @ b1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(207,plain,
( ( ( point_equal @ c2 @ c1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(208,plain,
( ( ( line_equal @ b1c1 @ b2c2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(209,plain,
( ( ( line_equal @ a1c1 @ a2c2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(210,plain,
( ( ( line_equal @ a1b1 @ a2b2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV1: $i] :
( ( ( ! [SY27: $i] :
~ ( incident @ SV1 @ SY27 ) )
= $true )
| ( ( point_equal @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(212,plain,
! [SV13: $i,SV2: $i] :
( ( ~ ( point_equal @ SV2 @ SV13 )
| ( point_equal @ SV13 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV14: $i,SV3: $i] :
( ( ! [SY42: $i] :
( ~ ( point_equal @ SV3 @ SV14 )
| ~ ( point_equal @ SV14 @ SY42 )
| ( point_equal @ SV3 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(214,plain,
! [SV15: $i,SV4: $i] :
( ( ~ ( incident @ SV4 @ SV15 )
| ( line_equal @ SV15 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV16: $i,SV5: $i] :
( ( ~ ( line_equal @ SV5 @ SV16 )
| ( line_equal @ SV16 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY43: $i] :
( ~ ( line_equal @ SV6 @ SV17 )
| ~ ( line_equal @ SV17 @ SY43 )
| ( line_equal @ SV6 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV7: $i,SV18: $i] :
( ( ! [SY44: $i] :
( ~ ( incident @ SV18 @ SY44 )
| ~ ( point_equal @ SV7 @ SV18 )
| ( incident @ SV7 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV19: $i,SV8: $i] :
( ( ! [SY45: $i] :
( ~ ( incident @ SV8 @ SV19 )
| ~ ( line_equal @ SV19 @ SY45 )
| ( incident @ SV8 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV20: $i,SV9: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( incident @ SV9 @ SY46 )
| ~ ( incident @ SV9 @ SY47 )
| ~ ( incident @ SV20 @ SY46 )
| ~ ( incident @ SV20 @ SY47 )
| ( line_equal @ SY46 @ SY47 )
| ( point_equal @ SV9 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV10: $i] :
( ( ( ~ ( incident @ bc @ SV10 )
| ~ ( line_equal @ SV10 @ SV10 )
| ~ ( incident @ ac @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(221,plain,
( ( ( ~ ( incident @ a1 @ b2c2 ) )
= $true )
| ( ( ~ ( incident @ b1 @ a2c2 ) )
= $true )
| ( ( ~ ( incident @ c1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(222,plain,
( ( ( ~ ( incident @ a2 @ b1c1 ) )
= $true )
| ( ( ~ ( incident @ b2 @ a1c1 ) )
= $true )
| ( ( ~ ( incident @ c2 @ a1b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(223,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ a1 @ SV11 )
| ~ ( incident @ b1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ c1 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(224,plain,
! [SV12: $i] :
( ( ( ~ ( incident @ a2 @ SV12 )
| ~ ( incident @ b2 @ SV12 ) )
= $true )
| ( ( ~ ( incident @ c2 @ SV12 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(225,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( incident @ SV1 @ SV21 ) )
= $true )
| ( ( point_equal @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(226,plain,
! [SV13: $i,SV2: $i] :
( ( ( ~ ( point_equal @ SV2 @ SV13 ) )
= $true )
| ( ( point_equal @ SV13 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(227,plain,
! [SV22: $i,SV14: $i,SV3: $i] :
( ( ~ ( point_equal @ SV3 @ SV14 )
| ~ ( point_equal @ SV14 @ SV22 )
| ( point_equal @ SV3 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(228,plain,
! [SV15: $i,SV4: $i] :
( ( ( ~ ( incident @ SV4 @ SV15 ) )
= $true )
| ( ( line_equal @ SV15 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(229,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( line_equal @ SV5 @ SV16 ) )
= $true )
| ( ( line_equal @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(230,plain,
! [SV23: $i,SV17: $i,SV6: $i] :
( ( ~ ( line_equal @ SV6 @ SV17 )
| ~ ( line_equal @ SV17 @ SV23 )
| ( line_equal @ SV6 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(231,plain,
! [SV7: $i,SV24: $i,SV18: $i] :
( ( ~ ( incident @ SV18 @ SV24 )
| ~ ( point_equal @ SV7 @ SV18 )
| ( incident @ SV7 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(232,plain,
! [SV25: $i,SV19: $i,SV8: $i] :
( ( ~ ( incident @ SV8 @ SV19 )
| ~ ( line_equal @ SV19 @ SV25 )
| ( incident @ SV8 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(233,plain,
! [SV20: $i,SV26: $i,SV9: $i] :
( ( ! [SY48: $i] :
( ~ ( incident @ SV9 @ SV26 )
| ~ ( incident @ SV9 @ SY48 )
| ~ ( incident @ SV20 @ SV26 )
| ~ ( incident @ SV20 @ SY48 )
| ( line_equal @ SV26 @ SY48 )
| ( point_equal @ SV9 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(234,plain,
! [SV10: $i] :
( ( ( ~ ( incident @ bc @ SV10 )
| ~ ( line_equal @ SV10 @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ac @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(235,plain,
( ( ( incident @ a1 @ b2c2 )
= $false )
| ( ( ~ ( incident @ b1 @ a2c2 ) )
= $true )
| ( ( ~ ( incident @ c1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(236,plain,
( ( ( incident @ a2 @ b1c1 )
= $false )
| ( ( ~ ( incident @ b2 @ a1c1 ) )
= $true )
| ( ( ~ ( incident @ c2 @ a1b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(237,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ a1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ b1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ c1 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(238,plain,
! [SV12: $i] :
( ( ( ~ ( incident @ a2 @ SV12 ) )
= $true )
| ( ( ~ ( incident @ b2 @ SV12 ) )
= $true )
| ( ( ~ ( incident @ c2 @ SV12 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(239,plain,
! [SV21: $i,SV1: $i] :
( ( ( incident @ SV1 @ SV21 )
= $false )
| ( ( point_equal @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(240,plain,
! [SV13: $i,SV2: $i] :
( ( ( point_equal @ SV2 @ SV13 )
= $false )
| ( ( point_equal @ SV13 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(241,plain,
! [SV22: $i,SV14: $i,SV3: $i] :
( ( ( ~ ( point_equal @ SV3 @ SV14 )
| ~ ( point_equal @ SV14 @ SV22 ) )
= $true )
| ( ( point_equal @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(242,plain,
! [SV15: $i,SV4: $i] :
( ( ( incident @ SV4 @ SV15 )
= $false )
| ( ( line_equal @ SV15 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(243,plain,
! [SV16: $i,SV5: $i] :
( ( ( line_equal @ SV5 @ SV16 )
= $false )
| ( ( line_equal @ SV16 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(244,plain,
! [SV23: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( line_equal @ SV6 @ SV17 )
| ~ ( line_equal @ SV17 @ SV23 ) )
= $true )
| ( ( line_equal @ SV6 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(245,plain,
! [SV7: $i,SV24: $i,SV18: $i] :
( ( ( ~ ( incident @ SV18 @ SV24 )
| ~ ( point_equal @ SV7 @ SV18 ) )
= $true )
| ( ( incident @ SV7 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(246,plain,
! [SV25: $i,SV19: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV19 )
| ~ ( line_equal @ SV19 @ SV25 ) )
= $true )
| ( ( incident @ SV8 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(247,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ~ ( incident @ SV9 @ SV26 )
| ~ ( incident @ SV9 @ SV27 )
| ~ ( incident @ SV20 @ SV26 )
| ~ ( incident @ SV20 @ SV27 )
| ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(248,plain,
! [SV10: $i] :
( ( ( ~ ( incident @ bc @ SV10 ) )
= $true )
| ( ( ~ ( line_equal @ SV10 @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ac @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(249,plain,
( ( ( incident @ b1 @ a2c2 )
= $false )
| ( ( incident @ a1 @ b2c2 )
= $false )
| ( ( ~ ( incident @ c1 @ a2b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(250,plain,
( ( ( incident @ b2 @ a1c1 )
= $false )
| ( ( incident @ a2 @ b1c1 )
= $false )
| ( ( ~ ( incident @ c2 @ a1b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(251,plain,
! [SV11: $i] :
( ( ( incident @ a1 @ SV11 )
= $false )
| ( ( ~ ( incident @ b1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ c1 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(252,plain,
! [SV12: $i] :
( ( ( incident @ a2 @ SV12 )
= $false )
| ( ( ~ ( incident @ b2 @ SV12 ) )
= $true )
| ( ( ~ ( incident @ c2 @ SV12 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(253,plain,
! [SV22: $i,SV14: $i,SV3: $i] :
( ( ( ~ ( point_equal @ SV3 @ SV14 ) )
= $true )
| ( ( ~ ( point_equal @ SV14 @ SV22 ) )
= $true )
| ( ( point_equal @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV23: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( line_equal @ SV6 @ SV17 ) )
= $true )
| ( ( ~ ( line_equal @ SV17 @ SV23 ) )
= $true )
| ( ( line_equal @ SV6 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV7: $i,SV24: $i,SV18: $i] :
( ( ( ~ ( incident @ SV18 @ SV24 ) )
= $true )
| ( ( ~ ( point_equal @ SV7 @ SV18 ) )
= $true )
| ( ( incident @ SV7 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV25: $i,SV19: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV19 ) )
= $true )
| ( ( ~ ( line_equal @ SV19 @ SV25 ) )
= $true )
| ( ( incident @ SV8 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ SV26 )
| ~ ( incident @ SV9 @ SV27 )
| ~ ( incident @ SV20 @ SV26 )
| ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(258,plain,
! [SV10: $i] :
( ( ( incident @ bc @ SV10 )
= $false )
| ( ( ~ ( line_equal @ SV10 @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ac @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(259,plain,
( ( ( incident @ c1 @ a2b2 )
= $false )
| ( ( incident @ a1 @ b2c2 )
= $false )
| ( ( incident @ b1 @ a2c2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(260,plain,
( ( ( incident @ c2 @ a1b1 )
= $false )
| ( ( incident @ a2 @ b1c1 )
= $false )
| ( ( incident @ b2 @ a1c1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(261,plain,
! [SV11: $i] :
( ( ( incident @ b1 @ SV11 )
= $false )
| ( ( incident @ a1 @ SV11 )
= $false )
| ( ( ~ ( incident @ c1 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(262,plain,
! [SV12: $i] :
( ( ( incident @ b2 @ SV12 )
= $false )
| ( ( incident @ a2 @ SV12 )
= $false )
| ( ( ~ ( incident @ c2 @ SV12 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(263,plain,
! [SV22: $i,SV14: $i,SV3: $i] :
( ( ( point_equal @ SV3 @ SV14 )
= $false )
| ( ( ~ ( point_equal @ SV14 @ SV22 ) )
= $true )
| ( ( point_equal @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV23: $i,SV17: $i,SV6: $i] :
( ( ( line_equal @ SV6 @ SV17 )
= $false )
| ( ( ~ ( line_equal @ SV17 @ SV23 ) )
= $true )
| ( ( line_equal @ SV6 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(265,plain,
! [SV7: $i,SV24: $i,SV18: $i] :
( ( ( incident @ SV18 @ SV24 )
= $false )
| ( ( ~ ( point_equal @ SV7 @ SV18 ) )
= $true )
| ( ( incident @ SV7 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(266,plain,
! [SV25: $i,SV19: $i,SV8: $i] :
( ( ( incident @ SV8 @ SV19 )
= $false )
| ( ( ~ ( line_equal @ SV19 @ SV25 ) )
= $true )
| ( ( incident @ SV8 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(267,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ SV26 )
| ~ ( incident @ SV9 @ SV27 )
| ~ ( incident @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(268,plain,
! [SV10: $i] :
( ( ( line_equal @ SV10 @ SV10 )
= $false )
| ( ( incident @ bc @ SV10 )
= $false )
| ( ( ~ ( incident @ ac @ SV10 ) )
= $true )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(269,plain,
! [SV11: $i] :
( ( ( incident @ c1 @ SV11 )
= $false )
| ( ( incident @ a1 @ SV11 )
= $false )
| ( ( incident @ b1 @ SV11 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(270,plain,
! [SV12: $i] :
( ( ( incident @ c2 @ SV12 )
= $false )
| ( ( incident @ a2 @ SV12 )
= $false )
| ( ( incident @ b2 @ SV12 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(271,plain,
! [SV3: $i,SV22: $i,SV14: $i] :
( ( ( point_equal @ SV14 @ SV22 )
= $false )
| ( ( point_equal @ SV3 @ SV14 )
= $false )
| ( ( point_equal @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(272,plain,
! [SV6: $i,SV23: $i,SV17: $i] :
( ( ( line_equal @ SV17 @ SV23 )
= $false )
| ( ( line_equal @ SV6 @ SV17 )
= $false )
| ( ( line_equal @ SV6 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(273,plain,
! [SV24: $i,SV18: $i,SV7: $i] :
( ( ( point_equal @ SV7 @ SV18 )
= $false )
| ( ( incident @ SV18 @ SV24 )
= $false )
| ( ( incident @ SV7 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(274,plain,
! [SV8: $i,SV25: $i,SV19: $i] :
( ( ( line_equal @ SV19 @ SV25 )
= $false )
| ( ( incident @ SV8 @ SV19 )
= $false )
| ( ( incident @ SV8 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(275,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ SV26 )
| ~ ( incident @ SV9 @ SV27 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(276,plain,
! [SV10: $i] :
( ( ( incident @ ac @ SV10 )
= $false )
| ( ( incident @ bc @ SV10 )
= $false )
| ( ( line_equal @ SV10 @ SV10 )
= $false )
| ( ( ~ ( incident @ ab @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV9 @ SV27 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(278,plain,
! [SV10: $i] :
( ( ( incident @ ab @ SV10 )
= $false )
| ( ( line_equal @ SV10 @ SV10 )
= $false )
| ( ( incident @ bc @ SV10 )
= $false )
| ( ( incident @ ac @ SV10 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(279,plain,
! [SV20: $i,SV27: $i,SV26: $i,SV9: $i] :
( ( ( incident @ SV9 @ SV26 )
= $false )
| ( ( ~ ( incident @ SV9 @ SV27 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(280,plain,
! [SV20: $i,SV26: $i,SV27: $i,SV9: $i] :
( ( ( incident @ SV9 @ SV27 )
= $false )
| ( ( incident @ SV9 @ SV26 )
= $false )
| ( ( ~ ( incident @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(281,plain,
! [SV27: $i,SV9: $i,SV26: $i,SV20: $i] :
( ( ( incident @ SV20 @ SV26 )
= $false )
| ( ( incident @ SV9 @ SV26 )
= $false )
| ( ( incident @ SV9 @ SV27 )
= $false )
| ( ( ~ ( incident @ SV20 @ SV27 ) )
= $true )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(282,plain,
! [SV26: $i,SV9: $i,SV27: $i,SV20: $i] :
( ( ( incident @ SV20 @ SV27 )
= $false )
| ( ( incident @ SV9 @ SV27 )
= $false )
| ( ( incident @ SV9 @ SV26 )
= $false )
| ( ( incident @ SV20 @ SV26 )
= $false )
| ( ( ( line_equal @ SV26 @ SV27 )
| ( point_equal @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(283,plain,
! [SV20: $i,SV9: $i,SV27: $i,SV26: $i] :
( ( ( line_equal @ SV26 @ SV27 )
= $true )
| ( ( point_equal @ SV9 @ SV20 )
= $true )
| ( ( incident @ SV20 @ SV26 )
= $false )
| ( ( incident @ SV9 @ SV26 )
= $false )
| ( ( incident @ SV9 @ SV27 )
= $false )
| ( ( incident @ SV20 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(284,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[131,283,278,274,273,272,271,270,269,260,259,243,242,240,239,210,209,208,207,206,205,199,181,180,179,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132]) ).
thf(285,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 18 15:47:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.36
% 0.21/0.36 No.of.Axioms: 50
% 0.21/0.36
% 0.21/0.36 Length.of.Defs: 0
% 0.21/0.36
% 0.21/0.36 Contains.Choice.Funs: false
% 0.21/0.37 (rf:0,axioms:50,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:52,loop_count:0,foatp_calls:0,translation:fof_full)........
% 3.71/3.92
% 3.71/3.92 ********************************
% 3.71/3.92 * All subproblems solved! *
% 3.71/3.92 ********************************
% 3.71/3.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:50,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:284,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.71/3.94
% 3.71/3.94 %**** Beginning of derivation protocol ****
% 3.71/3.94 % SZS output start CNFRefutation
% See solution above
% 3.71/3.94
% 3.71/3.94 %**** End of derivation protocol ****
% 3.71/3.94 %**** no. of clauses in derivation: 285 ****
% 3.71/3.94 %**** clause counter: 284 ****
% 3.71/3.94
% 3.71/3.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:50,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:284,loop_count:0,foatp_calls:1,translation:fof_full)
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