TSTP Solution File: GEO169+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n005.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 05:07:46 EDT 2022
% Result : Theorem 70.71s 70.93s
% Output : CNFRefutation 70.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 78
% Syntax : Number of formulae : 322 ( 187 unt; 25 typ; 0 def)
% Number of atoms : 1525 ( 564 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1634 ( 272 ~; 344 |; 36 &; 940 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 22 con; 0-2 aty)
% Number of variables : 298 ( 0 ^ 294 !; 4 ?; 298 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a1a2,type,
a1a2: $i ).
thf(tp_a2,type,
a2: $i ).
thf(tp_a2a3,type,
a2a3: $i ).
thf(tp_a3,type,
a3: $i ).
thf(tp_a3a1,type,
a3a1: $i ).
thf(tp_b1,type,
b1: $i ).
thf(tp_b1b2,type,
b1b2: $i ).
thf(tp_b2,type,
b2: $i ).
thf(tp_b2b3,type,
b2b3: $i ).
thf(tp_b3,type,
b3: $i ).
thf(tp_b3b1,type,
b3b1: $i ).
thf(tp_goal,type,
goal: $o ).
thf(tp_incident,type,
incident: $i > $i > $o ).
thf(tp_line,type,
line: $i > $o ).
thf(tp_p1,type,
p1: $i ).
thf(tp_p2,type,
p2: $i ).
thf(tp_p3,type,
p3: $i ).
thf(tp_point,type,
point: $i > $o ).
thf(tp_s,type,
s: $i ).
thf(tp_s1,type,
s1: $i ).
thf(tp_s2,type,
s2: $i ).
thf(tp_s3,type,
s3: $i ).
thf(tp_sK1_C,type,
sK1_C: $i > $i > $i ).
thf(tp_sK2_C,type,
sK2_C: $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( line @ B ) )
=> ? [C: $i] :
( ( incident @ C @ A )
& ( incident @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B ) )
=> ? [C: $i] :
( ( incident @ A @ C )
& ( incident @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( incident @ A @ C )
& ( incident @ A @ D )
& ( incident @ B @ C )
& ( incident @ B @ D ) )
=> ( ( A = B )
| ( C = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( B = C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',line_congruence) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',point_congruence) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equal) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equal) ).
thf(8,axiom,
! [A: $i] : ( A = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_equal) ).
thf(9,axiom,
( ( a3a1 = b3b1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not31) ).
thf(10,axiom,
( ( a2a3 = b2b3 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not23) ).
thf(11,axiom,
( ( a1a2 = b1b2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not12) ).
thf(12,axiom,
( ( b3 = b1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b3_b1) ).
thf(13,axiom,
( ( b2 = b3 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b2_b3) ).
thf(14,axiom,
( ( b1 = b2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b1_b2) ).
thf(15,axiom,
( ( a3 = a1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a3_a1) ).
thf(16,axiom,
( ( a2 = a3 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a2_a3) ).
thf(17,axiom,
( ( a1 = a2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a1_a2) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sort_line) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sort_point) ).
thf(20,axiom,
incident @ p2 @ b3b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip2b) ).
thf(21,axiom,
incident @ p2 @ a3a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip2a) ).
thf(22,axiom,
incident @ p1 @ b2b3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1b) ).
thf(23,axiom,
incident @ p1 @ a2a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1a) ).
thf(24,axiom,
incident @ p3 @ b1b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3b) ).
thf(25,axiom,
incident @ p3 @ a1a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3a) ).
thf(26,axiom,
incident @ b3 @ s3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3s3) ).
thf(27,axiom,
incident @ b2 @ s2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2s2) ).
thf(28,axiom,
incident @ b1 @ s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1s1) ).
thf(29,axiom,
incident @ a3 @ s3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3s3) ).
thf(30,axiom,
incident @ a2 @ s2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2s2) ).
thf(31,axiom,
incident @ a1 @ s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1s1) ).
thf(32,axiom,
incident @ s @ s3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss3) ).
thf(33,axiom,
incident @ s @ s2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss2) ).
thf(34,axiom,
incident @ s @ s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss1) ).
thf(35,axiom,
incident @ b1 @ b3b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1b3) ).
thf(36,axiom,
incident @ b3 @ b3b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b1) ).
thf(37,axiom,
incident @ b3 @ b2b3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b2) ).
thf(38,axiom,
incident @ b2 @ b2b3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b3) ).
thf(39,axiom,
incident @ b2 @ b1b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b1) ).
thf(40,axiom,
incident @ b1 @ b1b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1b2) ).
thf(41,axiom,
incident @ a1 @ a3a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1a3) ).
thf(42,axiom,
incident @ a3 @ a3a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3a1) ).
thf(43,axiom,
incident @ a3 @ a2a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3a2) ).
thf(44,axiom,
incident @ a2 @ a2a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a3) ).
thf(45,axiom,
incident @ a2 @ a1a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a1) ).
thf(46,axiom,
incident @ a1 @ a1a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1a2) ).
thf(47,axiom,
( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap3) ).
thf(48,axiom,
( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap2) ).
thf(49,axiom,
( ( incident @ a1 @ b2b3 )
| ( incident @ b3 @ a1a2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap1) ).
thf(50,axiom,
( ( ( incident @ b1 @ a2a3 )
& ( incident @ b2 @ a3a1 )
& ( incident @ b3 @ a1a2 ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_b_in_a) ).
thf(51,axiom,
( ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_a_in_b) ).
thf(52,axiom,
! [A: $i] :
( ( ( incident @ p3 @ A )
& ( incident @ p1 @ A )
& ( incident @ p2 @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
thf(53,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(54,negated_conjecture,
goal = $false,
inference(negate_conjecture,[status(cth)],[53]) ).
thf(55,plain,
goal = $false,
inference(unfold_def,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ( ( line @ A )
& ( line @ B ) )
=> ? [C: $i] :
( ( incident @ C @ A )
& ( incident @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B ) )
=> ? [C: $i] :
( ( incident @ A @ C )
& ( incident @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( incident @ A @ C )
& ( incident @ A @ D )
& ( incident @ B @ C )
& ( incident @ B @ D ) )
=> ( ( A = B )
| ( C = D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( B = C ) )
=> ( incident @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(63,plain,
( ( ! [A: $i] : ( A = A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(64,plain,
( ( ( a3a1 = b3b1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(65,plain,
( ( ( a2a3 = b2b3 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(66,plain,
( ( ( a1a2 = b1b2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(67,plain,
( ( ( b3 = b1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(68,plain,
( ( ( b2 = b3 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(69,plain,
( ( ( b1 = b2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(70,plain,
( ( ( a3 = a1 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(71,plain,
( ( ( a2 = a3 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(72,plain,
( ( ( a1 = a2 )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(75,plain,
( ( incident @ p2 @ b3b1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(76,plain,
( ( incident @ p2 @ a3a1 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(77,plain,
( ( incident @ p1 @ b2b3 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(78,plain,
( ( incident @ p1 @ a2a3 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(79,plain,
( ( incident @ p3 @ b1b2 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(80,plain,
( ( incident @ p3 @ a1a2 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(81,plain,
( ( incident @ b3 @ s3 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(82,plain,
( ( incident @ b2 @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(83,plain,
( ( incident @ b1 @ s1 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(84,plain,
( ( incident @ a3 @ s3 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(85,plain,
( ( incident @ a2 @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(86,plain,
( ( incident @ a1 @ s1 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(87,plain,
( ( incident @ s @ s3 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(88,plain,
( ( incident @ s @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(89,plain,
( ( incident @ s @ s1 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(90,plain,
( ( incident @ b1 @ b3b1 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(91,plain,
( ( incident @ b3 @ b3b1 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(92,plain,
( ( incident @ b3 @ b2b3 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(93,plain,
( ( incident @ b2 @ b2b3 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(94,plain,
( ( incident @ b2 @ b1b2 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(95,plain,
( ( incident @ b1 @ b1b2 )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(96,plain,
( ( incident @ a1 @ a3a1 )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(97,plain,
( ( incident @ a3 @ a3a1 )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(98,plain,
( ( incident @ a3 @ a2a3 )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(99,plain,
( ( incident @ a2 @ a2a3 )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(100,plain,
( ( incident @ a2 @ a1a2 )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(101,plain,
( ( incident @ a1 @ a1a2 )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(102,plain,
( ( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(103,plain,
( ( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(104,plain,
( ( ( incident @ a1 @ b2b3 )
| ( incident @ b3 @ a1a2 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(105,plain,
( ( ( ( incident @ b1 @ a2a3 )
& ( incident @ b2 @ a3a1 )
& ( incident @ b3 @ a1a2 ) )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(106,plain,
( ( ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 ) )
=> goal )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( ( incident @ p3 @ A )
& ( incident @ p1 @ A )
& ( incident @ p2 @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(108,plain,
( ( ~ goal )
= $true ),
inference(polarity_switch,[status(thm)],[55]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ~ ( line @ A )
| ~ ( line @ B )
| ( ( incident @ ( sK1_C @ B @ A ) @ A )
& ( incident @ ( sK1_C @ B @ A ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ( ( incident @ A @ ( sK2_C @ B @ A ) )
& ( incident @ B @ ( sK2_C @ B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( incident @ A @ C )
| ~ ( incident @ A @ D )
| ~ ( incident @ B @ C )
| ~ ( incident @ B @ D )
| ( A = B )
| ( C = D ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( B != C )
| ~ ( incident @ A @ B )
| ( incident @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( incident @ B @ C )
| ( incident @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ( B != C )
| ( A = C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( B = A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(116,plain,
( ( ! [A: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(117,plain,
( ( ( a3a1 != b3b1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(118,plain,
( ( ( a2a3 != b2b3 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(119,plain,
( ( ( a1a2 != b1b2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(120,plain,
( ( ( b3 != b1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(121,plain,
( ( ( b2 != b3 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(122,plain,
( ( ( b1 != b2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(123,plain,
( ( ( a3 != a1 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(124,plain,
( ( ( a2 != a3 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(125,plain,
( ( ( a1 != a2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident @ A @ B )
| ( line @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(127,plain,
( ( ! [A: $i] :
( ! [B: $i] :
~ ( incident @ A @ B )
| ( point @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(128,plain,
( ( ~ ( incident @ b1 @ a2a3 )
| ~ ( incident @ b2 @ a3a1 )
| ~ ( incident @ b3 @ a1a2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(129,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ~ ( incident @ a2 @ b3b1 )
| ~ ( incident @ a3 @ b1b2 )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(130,plain,
( ( ! [A: $i] :
( ~ ( incident @ p3 @ A )
| ~ ( incident @ p1 @ A )
| ~ ( incident @ p2 @ A ) )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(131,plain,
( ( ! [A: $i] :
( ~ ( incident @ p3 @ A )
| ~ ( incident @ p1 @ A )
| ~ ( incident @ p2 @ A ) )
| goal )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(132,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ~ ( incident @ a2 @ b3b1 )
| ~ ( incident @ a3 @ b1b2 )
| goal )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(133,plain,
( ( ~ ( incident @ b1 @ a2a3 )
| ~ ( incident @ b2 @ a3a1 )
| ~ ( incident @ b3 @ a1a2 )
| goal )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(134,plain,
( ( ( incident @ a1 @ b2b3 )
| ( incident @ b3 @ a1a2 ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(135,plain,
( ( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(136,plain,
( ( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(137,plain,
( ( incident @ a1 @ a1a2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(138,plain,
( ( incident @ a2 @ a1a2 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(139,plain,
( ( incident @ a2 @ a2a3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(140,plain,
( ( incident @ a3 @ a2a3 )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(141,plain,
( ( incident @ a3 @ a3a1 )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(142,plain,
( ( incident @ a1 @ a3a1 )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(143,plain,
( ( incident @ b1 @ b1b2 )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(144,plain,
( ( incident @ b2 @ b1b2 )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(145,plain,
( ( incident @ b2 @ b2b3 )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(146,plain,
( ( incident @ b3 @ b2b3 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(147,plain,
( ( incident @ b3 @ b3b1 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(148,plain,
( ( incident @ b1 @ b3b1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(149,plain,
( ( incident @ s @ s1 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(150,plain,
( ( incident @ s @ s2 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(151,plain,
( ( incident @ s @ s3 )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(152,plain,
( ( incident @ a1 @ s1 )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(153,plain,
( ( incident @ a2 @ s2 )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(154,plain,
( ( incident @ a3 @ s3 )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(155,plain,
( ( incident @ b1 @ s1 )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(156,plain,
( ( incident @ b2 @ s2 )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(157,plain,
( ( incident @ b3 @ s3 )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(158,plain,
( ( incident @ p3 @ a1a2 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(159,plain,
( ( incident @ p3 @ b1b2 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(160,plain,
( ( incident @ p1 @ a2a3 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(161,plain,
( ( incident @ p1 @ b2b3 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(162,plain,
( ( incident @ p2 @ a3a1 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(163,plain,
( ( incident @ p2 @ b3b1 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(164,plain,
( ( ! [A: $i] :
( ! [B: $i] :
~ ( incident @ A @ B )
| ( point @ A ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(165,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident @ A @ B )
| ( line @ B ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(166,plain,
( ( ( a1 != a2 )
| goal )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(167,plain,
( ( ( a2 != a3 )
| goal )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(168,plain,
( ( ( a3 != a1 )
| goal )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(169,plain,
( ( ( b1 != b2 )
| goal )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(170,plain,
( ( ( b2 != b3 )
| goal )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(171,plain,
( ( ( b3 != b1 )
| goal )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(172,plain,
( ( ( a1a2 != b1b2 )
| goal )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(173,plain,
( ( ( a2a3 != b2b3 )
| goal )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(174,plain,
( ( ( a3a1 != b3b1 )
| goal )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(175,plain,
( ( ! [A: $i] : $true )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(176,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(177,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ( B != C )
| ( A = C ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(178,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( incident @ B @ C )
| ( incident @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(179,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( B != C )
| ~ ( incident @ A @ B )
| ( incident @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(180,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( incident @ A @ C )
| ~ ( incident @ A @ D )
| ~ ( incident @ B @ C )
| ~ ( incident @ B @ D )
| ( A = B )
| ( C = D ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(181,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ( ( incident @ A @ ( sK2_C @ B @ A ) )
& ( incident @ B @ ( sK2_C @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ~ ( line @ A )
| ~ ( line @ B )
| ( ( incident @ ( sK1_C @ B @ A ) @ A )
& ( incident @ ( sK1_C @ B @ A ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(183,plain,
( ( ~ goal )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(184,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( point @ SX0 )
| ~ ( point @ SX1 )
| ~ ( ~ ( incident @ SX0 @ ( sK2_C @ SX1 @ SX0 ) )
| ~ ( incident @ SX1 @ ( sK2_C @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(185,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( line @ SX0 )
| ~ ( line @ SX1 )
| ~ ( ~ ( incident @ ( sK1_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident @ ( sK1_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(186,plain,
( ( ( ! [A: $i] :
( ~ ( incident @ p3 @ A )
| ~ ( incident @ p1 @ A )
| ~ ( incident @ p2 @ A ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(187,plain,
( ( ( ~ ( incident @ a1 @ b2b3 )
| ~ ( incident @ a2 @ b3b1 )
| ~ ( incident @ a3 @ b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(188,plain,
( ( ( ~ ( incident @ b1 @ a2a3 )
| ~ ( incident @ b2 @ a3a1 )
| ~ ( incident @ b3 @ a1a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(189,plain,
( ( ( incident @ a1 @ b2b3 )
= $true )
| ( ( incident @ b3 @ a1a2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(190,plain,
( ( ( incident @ a2 @ b3b1 )
= $true )
| ( ( incident @ b1 @ a2a3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(191,plain,
( ( ( incident @ a3 @ b1b2 )
= $true )
| ( ( incident @ b2 @ a3a1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(192,plain,
! [SV1: $i] :
( ( ! [SY27: $i] :
~ ( incident @ SV1 @ SY27 )
| ( point @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(193,plain,
! [SV2: $i] :
( ( ! [SY28: $i] :
( ~ ( incident @ SV2 @ SY28 )
| ( line @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(194,plain,
( ( ( ( a1 != a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(195,plain,
( ( ( ( a2 != a3 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(196,plain,
( ( ( ( a3 != a1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(197,plain,
( ( ( ( b1 != b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(198,plain,
( ( ( ( b2 != b3 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(199,plain,
( ( ( ( b3 != b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(200,plain,
( ( ( ( a1a2 != b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(201,plain,
( ( ( ( a2a3 != b2b3 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(202,plain,
( ( ( ( a3a1 != b3b1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(203,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(204,plain,
! [SV4: $i] :
( ( ! [SY29: $i] :
( ( SV4 != SY29 )
| ( SY29 = SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(205,plain,
! [SV5: $i] :
( ( ! [SY30: $i,SY31: $i] :
( ( SV5 != SY30 )
| ( SY30 != SY31 )
| ( SV5 = SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(206,plain,
! [SV6: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SV6 != SY32 )
| ~ ( incident @ SY32 @ SY33 )
| ( incident @ SV6 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(207,plain,
! [SV7: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( SY34 != SY35 )
| ~ ( incident @ SV7 @ SY34 )
| ( incident @ SV7 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(208,plain,
! [SV8: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ~ ( incident @ SV8 @ SY37 )
| ~ ( incident @ SV8 @ SY38 )
| ~ ( incident @ SY36 @ SY37 )
| ~ ( incident @ SY36 @ SY38 )
| ( SV8 = SY36 )
| ( SY37 = SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(209,plain,
goal = $false,
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(210,plain,
! [SV9: $i] :
( ( ! [SY39: $i] :
( ~ ( point @ SV9 )
| ~ ( point @ SY39 )
| ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SY39 @ SV9 ) )
| ~ ( incident @ SY39 @ ( sK2_C @ SY39 @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(211,plain,
! [SV10: $i] :
( ( ! [SY40: $i] :
( ~ ( line @ SV10 )
| ~ ( line @ SY40 )
| ~ ( ~ ( incident @ ( sK1_C @ SY40 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SY40 @ SV10 ) @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(212,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ p3 @ SV11 )
| ~ ( incident @ p1 @ SV11 )
| ~ ( incident @ p2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(213,plain,
( ( ( ~ ( incident @ a1 @ b2b3 )
| ~ ( incident @ a2 @ b3b1 ) )
= $true )
| ( ( ~ ( incident @ a3 @ b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(214,plain,
( ( ( ~ ( incident @ b1 @ a2a3 )
| ~ ( incident @ b2 @ a3a1 ) )
= $true )
| ( ( ~ ( incident @ b3 @ a1a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(215,plain,
! [SV1: $i] :
( ( ( ! [SY27: $i] :
~ ( incident @ SV1 @ SY27 ) )
= $true )
| ( ( point @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(216,plain,
! [SV12: $i,SV2: $i] :
( ( ~ ( incident @ SV2 @ SV12 )
| ( line @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(217,plain,
( ( ( a1 = a2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(218,plain,
( ( ( a2 = a3 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(219,plain,
( ( ( a3 = a1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(220,plain,
( ( ( b1 = b2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(221,plain,
( ( ( b2 = b3 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(222,plain,
( ( ( b3 = b1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(223,plain,
( ( ( a1a2 = b1b2 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(224,plain,
( ( ( a2a3 = b2b3 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(225,plain,
( ( ( a3a1 = b3b1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(226,plain,
! [SV13: $i,SV4: $i] :
( ( ( SV4 != SV13 )
| ( SV13 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(227,plain,
! [SV14: $i,SV5: $i] :
( ( ! [SY41: $i] :
( ( SV5 != SV14 )
| ( SV14 != SY41 )
| ( SV5 = SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(228,plain,
! [SV15: $i,SV6: $i] :
( ( ! [SY42: $i] :
( ( SV6 != SV15 )
| ~ ( incident @ SV15 @ SY42 )
| ( incident @ SV6 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(229,plain,
! [SV7: $i,SV16: $i] :
( ( ! [SY43: $i] :
( ( SV16 != SY43 )
| ~ ( incident @ SV7 @ SV16 )
| ( incident @ SV7 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(230,plain,
! [SV17: $i,SV8: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( incident @ SV8 @ SY44 )
| ~ ( incident @ SV8 @ SY45 )
| ~ ( incident @ SV17 @ SY44 )
| ~ ( incident @ SV17 @ SY45 )
| ( SV8 = SV17 )
| ( SY44 = SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(231,plain,
! [SV18: $i,SV9: $i] :
( ( ~ ( point @ SV9 )
| ~ ( point @ SV18 )
| ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(232,plain,
! [SV19: $i,SV10: $i] :
( ( ~ ( line @ SV10 )
| ~ ( line @ SV19 )
| ~ ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(233,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ p3 @ SV11 )
| ~ ( incident @ p1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ p2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(234,plain,
( ( ( ~ ( incident @ a1 @ b2b3 ) )
= $true )
| ( ( ~ ( incident @ a2 @ b3b1 ) )
= $true )
| ( ( ~ ( incident @ a3 @ b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(235,plain,
( ( ( ~ ( incident @ b1 @ a2a3 ) )
= $true )
| ( ( ~ ( incident @ b2 @ a3a1 ) )
= $true )
| ( ( ~ ( incident @ b3 @ a1a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(236,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( incident @ SV1 @ SV20 ) )
= $true )
| ( ( point @ SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(237,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( incident @ SV2 @ SV12 ) )
= $true )
| ( ( line @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(238,plain,
! [SV13: $i,SV4: $i] :
( ( ( ( SV4 != SV13 ) )
= $true )
| ( ( SV13 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV21: $i,SV14: $i,SV5: $i] :
( ( ( SV5 != SV14 )
| ( SV14 != SV21 )
| ( SV5 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV22: $i,SV15: $i,SV6: $i] :
( ( ( SV6 != SV15 )
| ~ ( incident @ SV15 @ SV22 )
| ( incident @ SV6 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV7: $i,SV23: $i,SV16: $i] :
( ( ( SV16 != SV23 )
| ~ ( incident @ SV7 @ SV16 )
| ( incident @ SV7 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV17: $i,SV24: $i,SV8: $i] :
( ( ! [SY46: $i] :
( ~ ( incident @ SV8 @ SV24 )
| ~ ( incident @ SV8 @ SY46 )
| ~ ( incident @ SV17 @ SV24 )
| ~ ( incident @ SV17 @ SY46 )
| ( SV8 = SV17 )
| ( SV24 = SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( point @ SV9 )
| ~ ( point @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV19: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 )
| ~ ( line @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV11: $i] :
( ( ( ~ ( incident @ p3 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ p1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ p2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(246,plain,
( ( ( incident @ a1 @ b2b3 )
= $false )
| ( ( ~ ( incident @ a2 @ b3b1 ) )
= $true )
| ( ( ~ ( incident @ a3 @ b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(247,plain,
( ( ( incident @ b1 @ a2a3 )
= $false )
| ( ( ~ ( incident @ b2 @ a3a1 ) )
= $true )
| ( ( ~ ( incident @ b3 @ a1a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV20: $i,SV1: $i] :
( ( ( incident @ SV1 @ SV20 )
= $false )
| ( ( point @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV12: $i,SV2: $i] :
( ( ( incident @ SV2 @ SV12 )
= $false )
| ( ( line @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV13: $i,SV4: $i] :
( ( ( SV4 = SV13 )
= $false )
| ( ( SV13 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV21: $i,SV14: $i,SV5: $i] :
( ( ( ( SV5 != SV14 )
| ( SV14 != SV21 ) )
= $true )
| ( ( SV5 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV22: $i,SV15: $i,SV6: $i] :
( ( ( ( SV6 != SV15 )
| ~ ( incident @ SV15 @ SV22 ) )
= $true )
| ( ( incident @ SV6 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV7: $i,SV23: $i,SV16: $i] :
( ( ( ( SV16 != SV23 )
| ~ ( incident @ SV7 @ SV16 ) )
= $true )
| ( ( incident @ SV7 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ~ ( incident @ SV8 @ SV24 )
| ~ ( incident @ SV8 @ SV25 )
| ~ ( incident @ SV17 @ SV24 )
| ~ ( incident @ SV17 @ SV25 )
| ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( point @ SV9 ) )
= $true )
| ( ( ~ ( point @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(256,plain,
! [SV19: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 ) )
= $true )
| ( ( ~ ( line @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV11: $i] :
( ( ( incident @ p3 @ SV11 )
= $false )
| ( ( ~ ( incident @ p1 @ SV11 ) )
= $true )
| ( ( ~ ( incident @ p2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(258,plain,
( ( ( incident @ a2 @ b3b1 )
= $false )
| ( ( incident @ a1 @ b2b3 )
= $false )
| ( ( ~ ( incident @ a3 @ b1b2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(259,plain,
( ( ( incident @ b2 @ a3a1 )
= $false )
| ( ( incident @ b1 @ a2a3 )
= $false )
| ( ( ~ ( incident @ b3 @ a1a2 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV21: $i,SV14: $i,SV5: $i] :
( ( ( ( SV5 != SV14 ) )
= $true )
| ( ( ( SV14 != SV21 ) )
= $true )
| ( ( SV5 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(261,plain,
! [SV22: $i,SV15: $i,SV6: $i] :
( ( ( ( SV6 != SV15 ) )
= $true )
| ( ( ~ ( incident @ SV15 @ SV22 ) )
= $true )
| ( ( incident @ SV6 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(262,plain,
! [SV7: $i,SV23: $i,SV16: $i] :
( ( ( ( SV16 != SV23 ) )
= $true )
| ( ( ~ ( incident @ SV7 @ SV16 ) )
= $true )
| ( ( incident @ SV7 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(263,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV24 )
| ~ ( incident @ SV8 @ SV25 )
| ~ ( incident @ SV17 @ SV24 )
| ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(264,plain,
! [SV18: $i,SV9: $i] :
( ( ( point @ SV9 )
= $false )
| ( ( ~ ( point @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(265,plain,
! [SV19: $i,SV10: $i] :
( ( ( line @ SV10 )
= $false )
| ( ( ~ ( line @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(266,plain,
! [SV11: $i] :
( ( ( incident @ p1 @ SV11 )
= $false )
| ( ( incident @ p3 @ SV11 )
= $false )
| ( ( ~ ( incident @ p2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(267,plain,
( ( ( incident @ a3 @ b1b2 )
= $false )
| ( ( incident @ a1 @ b2b3 )
= $false )
| ( ( incident @ a2 @ b3b1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(268,plain,
( ( ( incident @ b3 @ a1a2 )
= $false )
| ( ( incident @ b1 @ a2a3 )
= $false )
| ( ( incident @ b2 @ a3a1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(269,plain,
! [SV21: $i,SV14: $i,SV5: $i] :
( ( ( SV5 = SV14 )
= $false )
| ( ( ( SV14 != SV21 ) )
= $true )
| ( ( SV5 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(270,plain,
! [SV22: $i,SV15: $i,SV6: $i] :
( ( ( SV6 = SV15 )
= $false )
| ( ( ~ ( incident @ SV15 @ SV22 ) )
= $true )
| ( ( incident @ SV6 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(271,plain,
! [SV7: $i,SV23: $i,SV16: $i] :
( ( ( SV16 = SV23 )
= $false )
| ( ( ~ ( incident @ SV7 @ SV16 ) )
= $true )
| ( ( incident @ SV7 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV24 )
| ~ ( incident @ SV8 @ SV25 )
| ~ ( incident @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(273,plain,
! [SV9: $i,SV18: $i] :
( ( ( point @ SV18 )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( ~ ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(274,plain,
! [SV10: $i,SV19: $i] :
( ( ( line @ SV19 )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( ~ ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(275,plain,
! [SV11: $i] :
( ( ( incident @ p2 @ SV11 )
= $false )
| ( ( incident @ p3 @ SV11 )
= $false )
| ( ( incident @ p1 @ SV11 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV5: $i,SV21: $i,SV14: $i] :
( ( ( SV14 = SV21 )
= $false )
| ( ( SV5 = SV14 )
= $false )
| ( ( SV5 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(277,plain,
! [SV6: $i,SV22: $i,SV15: $i] :
( ( ( incident @ SV15 @ SV22 )
= $false )
| ( ( SV6 = SV15 )
= $false )
| ( ( incident @ SV6 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV23: $i,SV16: $i,SV7: $i] :
( ( ( incident @ SV7 @ SV16 )
= $false )
| ( ( SV16 = SV23 )
= $false )
| ( ( incident @ SV7 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV24 )
| ~ ( incident @ SV8 @ SV25 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(280,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
| ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(281,plain,
! [SV10: $i,SV19: $i] :
( ( ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
| ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(282,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( incident @ SV8 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV8 @ SV25 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(283,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) ) )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(284,plain,
! [SV9: $i,SV18: $i] :
( ( ( ~ ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) ) )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(285,plain,
! [SV10: $i,SV19: $i] :
( ( ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 ) )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(286,plain,
! [SV10: $i,SV19: $i] :
( ( ( ~ ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 ) )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(287,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( incident @ SV8 @ SV24 )
= $false )
| ( ( ~ ( incident @ SV8 @ SV25 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(288,plain,
! [SV18: $i,SV9: $i] :
( ( ( incident @ SV9 @ ( sK2_C @ SV18 @ SV9 ) )
= $true )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(289,plain,
! [SV9: $i,SV18: $i] :
( ( ( incident @ SV18 @ ( sK2_C @ SV18 @ SV9 ) )
= $true )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(290,plain,
! [SV10: $i,SV19: $i] :
( ( ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV10 )
= $true )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(291,plain,
! [SV10: $i,SV19: $i] :
( ( ( incident @ ( sK1_C @ SV19 @ SV10 ) @ SV19 )
= $true )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(292,plain,
! [SV17: $i,SV24: $i,SV25: $i,SV8: $i] :
( ( ( incident @ SV8 @ SV25 )
= $false )
| ( ( incident @ SV8 @ SV24 )
= $false )
| ( ( ~ ( incident @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(293,plain,
! [SV25: $i,SV8: $i,SV24: $i,SV17: $i] :
( ( ( incident @ SV17 @ SV24 )
= $false )
| ( ( incident @ SV8 @ SV24 )
= $false )
| ( ( incident @ SV8 @ SV25 )
= $false )
| ( ( ~ ( incident @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(294,plain,
! [SV24: $i,SV8: $i,SV25: $i,SV17: $i] :
( ( ( incident @ SV17 @ SV25 )
= $false )
| ( ( incident @ SV8 @ SV25 )
= $false )
| ( ( incident @ SV8 @ SV24 )
= $false )
| ( ( incident @ SV17 @ SV24 )
= $false )
| ( ( ( SV8 = SV17 )
| ( SV24 = SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(295,plain,
! [SV25: $i,SV24: $i,SV17: $i,SV8: $i] :
( ( ( SV8 = SV17 )
= $true )
| ( ( SV24 = SV25 )
= $true )
| ( ( incident @ SV17 @ SV24 )
= $false )
| ( ( incident @ SV8 @ SV24 )
= $false )
| ( ( incident @ SV8 @ SV25 )
= $false )
| ( ( incident @ SV17 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(296,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[137,295,291,290,289,288,278,277,276,275,268,267,250,249,248,225,224,223,222,221,220,219,218,217,209,203,191,190,189,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138]) ).
thf(297,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 16:17:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 52
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:52,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:54,loop_count:0,foatp_calls:0,translation:fof_full).........
% 70.71/70.93
% 70.71/70.93 ********************************
% 70.71/70.93 * All subproblems solved! *
% 70.71/70.93 ********************************
% 70.71/70.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:52,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:296,loop_count:0,foatp_calls:1,translation:fof_full)
% 70.71/70.96
% 70.71/70.96 %**** Beginning of derivation protocol ****
% 70.71/70.96 % SZS output start CNFRefutation
% See solution above
% 70.71/70.96
% 70.71/70.96 %**** End of derivation protocol ****
% 70.71/70.96 %**** no. of clauses in derivation: 297 ****
% 70.71/70.96 %**** clause counter: 296 ****
% 70.71/70.96
% 70.71/70.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:52,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:296,loop_count:0,foatp_calls:1,translation:fof_full)
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