TSTP Solution File: GEO169+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:09:35 EDT 2023
% Result : Theorem 5.50s 2.11s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 74
% Syntax : Number of formulae : 127 ( 58 unt; 23 typ; 0 def)
% Number of atoms : 188 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 410 ( 2 ~; 8 |; 36 &; 324 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_type,type,
goal: $o ).
thf(incident_type,type,
incident: $i > $i > $o ).
thf(b1_type,type,
b1: $i ).
thf(ob_type,type,
ob: $i ).
thf(c1_type,type,
c1: $i ).
thf(oc_type,type,
oc: $i ).
thf(c2_type,type,
c2: $i ).
thf(a1_type,type,
a1: $i ).
thf(a1b1_type,type,
a1b1: $i ).
thf(o_type,type,
o: $i ).
thf(oa_type,type,
oa: $i ).
thf(point_equal_type,type,
point_equal: $i > $i > $o ).
thf(b2_type,type,
b2: $i ).
thf(a2b2_type,type,
a2b2: $i ).
thf(line_equal_type,type,
line_equal: $i > $i > $o ).
thf(b2c2_type,type,
b2c2: $i ).
thf(ab_type,type,
ab: $i ).
thf(bc_type,type,
bc: $i ).
thf(a2_type,type,
a2: $i ).
thf(a2c2_type,type,
a2c2: $i ).
thf(a1c1_type,type,
a1c1: $i ).
thf(b1c1_type,type,
b1c1: $i ).
thf(ac_type,type,
ac: $i ).
thf(49,axiom,
! [A: $i] :
( ( ( incident @ a1 @ A )
& ( incident @ b1 @ A )
& ( incident @ c1 @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle1) ).
thf(120,plain,
! [A: $i] :
( ( ( incident @ a1 @ A )
& ( incident @ b1 @ A )
& ( incident @ c1 @ A ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(5,axiom,
incident @ c2 @ oc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2oc) ).
thf(56,plain,
incident @ c2 @ oc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(44,axiom,
( ( ( incident @ a1 @ b2c2 )
& ( incident @ b1 @ a2c2 )
& ( incident @ c1 @ a2b2 ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1in2) ).
thf(110,plain,
( ( ( incident @ a1 @ b2c2 )
& ( incident @ b1 @ a2c2 )
& ( incident @ c1 @ a2b2 ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(15,axiom,
incident @ ab @ a2b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab2) ).
thf(70,plain,
incident @ ab @ a2b2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(2,negated_conjecture,
~ goal,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(53,plain,
~ goal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,axiom,
incident @ b2 @ ob,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2ob) ).
thf(80,plain,
incident @ b2 @ ob,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( point_equal @ B @ C ) )
=> ( point_equal @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
thf(67,plain,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( point_equal @ B @ C ) )
=> ( point_equal @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( point_equal @ A @ B )
& ( incident @ B @ C ) )
=> ( incident @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(26,axiom,
incident @ c1 @ a1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1a1) ).
thf(87,plain,
incident @ c1 @ a1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(10,axiom,
incident @ b2 @ a2b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2a2) ).
thf(62,plain,
incident @ b2 @ a2b2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,axiom,
incident @ bc @ b1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc1) ).
thf(100,plain,
incident @ bc @ b1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
incident @ b2 @ b2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2c2) ).
thf(69,plain,
incident @ b2 @ b2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(38,axiom,
incident @ a2 @ oa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2oa) ).
thf(101,plain,
incident @ a2 @ oa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(27,axiom,
incident @ b1 @ b1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1c1) ).
thf(88,plain,
incident @ b1 @ b1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(31,axiom,
incident @ o @ oc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooc) ).
thf(93,plain,
incident @ o @ oc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(6,axiom,
incident @ a1 @ a1b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1b1) ).
thf(57,plain,
incident @ a1 @ a1b1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(42,axiom,
( ( line_equal @ b1c1 @ b2c2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbc) ).
thf(106,plain,
( ( line_equal @ b1c1 @ b2c2 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(24,axiom,
incident @ a1 @ a1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1c1) ).
thf(84,plain,
incident @ a1 @ a1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(28,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/sandbox/benchmark/theBenchmark.p',unique) ).
thf(89,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 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(47,axiom,
( ( point_equal @ b2 @ b1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbb) ).
thf(116,plain,
( ( point_equal @ b2 @ b1 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(18,axiom,
incident @ a2 @ a2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2c2) ).
thf(74,plain,
incident @ a2 @ a2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( point_equal @ A @ B )
=> ( point_equal @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( point_equal @ A @ B )
=> ( point_equal @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
( ( incident @ c1 @ a2b2 )
| ( incident @ a2 @ b1c1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_c) ).
thf(85,plain,
( ( incident @ c1 @ a2b2 )
| ( incident @ a2 @ b1c1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(39,axiom,
incident @ ab @ a1b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab1) ).
thf(102,plain,
incident @ ab @ a1b1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(30,axiom,
incident @ c2 @ a2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2a2) ).
thf(92,plain,
incident @ c2 @ a2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( line_equal @ A @ B )
=> ( line_equal @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( line_equal @ A @ B )
=> ( line_equal @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(35,axiom,
incident @ c2 @ b2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2b2) ).
thf(97,plain,
incident @ c2 @ b2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point_equal @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
thf(77,plain,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point_equal @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(34,axiom,
incident @ o @ ob,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ioob) ).
thf(96,plain,
incident @ o @ ob,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(52,axiom,
! [A: $i] :
( ( ( incident @ a2 @ A )
& ( incident @ b2 @ A )
& ( incident @ c2 @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle2) ).
thf(128,plain,
! [A: $i] :
( ( ( incident @ a2 @ A )
& ( incident @ b2 @ A )
& ( incident @ c2 @ A ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(41,axiom,
incident @ ac @ a2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac2) ).
thf(105,plain,
incident @ ac @ a2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,axiom,
incident @ o @ oa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooa) ).
thf(59,plain,
incident @ o @ oa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,axiom,
( ( line_equal @ a1b1 @ a2b2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notab) ).
thf(118,plain,
( ( line_equal @ a1b1 @ a2b2 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(16,axiom,
incident @ bc @ b2c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc2) ).
thf(71,plain,
incident @ bc @ b2c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(3,axiom,
incident @ b1 @ ob,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1ob) ).
thf(54,plain,
incident @ b1 @ ob,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
incident @ a1 @ oa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1oa) ).
thf(81,plain,
incident @ a1 @ oa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( line_equal @ B @ C ) )
=> ( incident @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
thf(98,plain,
! [A: $i,B: $i,C: $i] :
( ( ( incident @ A @ B )
& ( line_equal @ B @ C ) )
=> ( incident @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(40,axiom,
( ( incident @ b1 @ a2c2 )
| ( incident @ c2 @ a1b1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_b) ).
thf(103,plain,
( ( incident @ b1 @ a2c2 )
| ( incident @ c2 @ a1b1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(29,axiom,
incident @ c1 @ b1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1b1) ).
thf(91,plain,
incident @ c1 @ b1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(43,axiom,
( ( line_equal @ a1c1 @ a2c2 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notac) ).
thf(108,plain,
( ( line_equal @ a1c1 @ a2c2 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(45,axiom,
( ( point_equal @ c2 @ c1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notcc) ).
thf(112,plain,
( ( point_equal @ c2 @ c1 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(50,axiom,
! [A: $i] :
( ( ( line_equal @ A @ A )
& ( incident @ bc @ A )
& ( incident @ ac @ A )
& ( incident @ ab @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
thf(123,plain,
! [A: $i] :
( ( ( line_equal @ A @ A )
& ( incident @ bc @ A )
& ( incident @ ac @ A )
& ( incident @ ab @ A ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line_equal @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
thf(63,plain,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line_equal @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(33,axiom,
incident @ ac @ a1c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac1) ).
thf(95,plain,
incident @ ac @ a1c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(4,axiom,
incident @ c1 @ oc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1oc) ).
thf(55,plain,
incident @ c1 @ oc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(46,axiom,
( ( point_equal @ a2 @ a1 )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notaa) ).
thf(114,plain,
( ( point_equal @ a2 @ a1 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(19,axiom,
( ( incident @ a1 @ b2c2 )
| ( incident @ b2 @ a1c1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_a) ).
thf(75,plain,
( ( incident @ a1 @ b2c2 )
| ( incident @ b2 @ a1c1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
incident @ b1 @ a1b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1a1) ).
thf(58,plain,
incident @ b1 @ a1b1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( line_equal @ A @ B )
& ( line_equal @ B @ C ) )
=> ( line_equal @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
thf(82,plain,
! [A: $i,B: $i,C: $i] :
( ( ( line_equal @ A @ B )
& ( line_equal @ B @ C ) )
=> ( line_equal @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(51,axiom,
( ( ( incident @ a2 @ b1c1 )
& ( incident @ b2 @ a1c1 )
& ( incident @ c2 @ a1b1 ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2in1) ).
thf(126,plain,
( ( ( incident @ a2 @ b1c1 )
& ( incident @ b2 @ a1c1 )
& ( incident @ c2 @ a1b1 ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(32,axiom,
incident @ a2 @ a2b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2b2) ).
thf(94,plain,
incident @ a2 @ a2b2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(613,plain,
$false,
inference(cvc4,[status(thm)],[120,56,110,70,53,80,67,72,87,62,100,69,101,88,93,57,106,84,89,116,74,60,85,102,92,65,97,77,96,128,105,59,118,71,54,81,98,103,91,108,112,123,63,95,55,114,75,58,82,126,94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : run_Leo-III %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 19 04:36:21 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.61/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.90/0.83 % [INFO] Parsing done (122ms).
% 0.90/0.83 % [INFO] Running in sequential loop mode.
% 1.33/1.04 % [INFO] eprover registered as external prover.
% 1.33/1.04 % [INFO] cvc4 registered as external prover.
% 1.33/1.04 % [INFO] Scanning for conjecture ...
% 1.53/1.09 % [INFO] Found a conjecture and 50 axioms. Running axiom selection ...
% 1.53/1.14 % [INFO] Axiom selection finished. Selected 50 axioms (removed 0 axioms).
% 1.53/1.18 % [INFO] Problem is first-order (TPTP FOF).
% 1.53/1.19 % [INFO] Type checking passed.
% 1.53/1.19 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.50/2.11 % External prover 'cvc4' found a proof!
% 5.50/2.11 % [INFO] Killing All external provers ...
% 5.50/2.11 % Time passed: 1712ms (effective reasoning time: 1274ms)
% 5.50/2.11 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.50/2.11 % Axioms used in derivation (50): ia2c2, notaa, triangle2, transitivity_of_point_equal, iab1, symmetry_of_point_equal, ia1c1, notcc, iooc, ib1a1, ic1a1, ia1b1, notbb, ib2ob, ibc1, t1in2, transitivity_of_line_equal, ib2a2, ic1oc, gap_b, ia2b2, iac1, t2in1, gap_a, ic2a2, ibc2, ia2oa, triangle1, notac, gap_c, iac2, goal_normal, ib1c1, ib2c2, lcon, ic2oc, pcon, iab2, ioob, ic1b1, reflexivity_of_line_equal, symmetry_of_line_equal, ia1oa, ic2b2, reflexivity_of_point_equal, ib1ob, unique, iooa, notbc, notab
% 5.50/2.11 % No. of inferences in proof: 104
% 5.50/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1712 ms resp. 1274 ms w/o parsing
% 5.56/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.56/2.14 % [INFO] Killing All external provers ...
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