%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO203+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:12:44 AM UTC 2026
% Result : Theorem 38.34s 14.46s
% Output : Refutation 33.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 131 ( 32 unt; 0 typ; 3 def)
% Number of atoms : 433 ( 59 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 1419 ( 166 ~; 166 |; 22 &;1030 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 270 ( 0 ^; 264 !; 3 ?; 270 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(convergent_lines_decl,type,
convergent_lines: $i > $i > $o ).
thf(distinct_points_decl,type,
distinct_points: $i > $i > $o ).
thf(intersection_point_decl,type,
intersection_point: $i > $i > $i ).
thf(distinct_lines_decl,type,
distinct_lines: $i > $i > $o ).
thf(line_connecting_decl,type,
line_connecting: $i > $i > $i ).
thf(apart_point_and_line_decl,type,
apart_point_and_line: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ distinct_points ) )
& ( C @ ( A @ convergent_lines ) )
& ( B @ ( A @ convergent_lines ) ) )
=> ~ ( A @ ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( B @ ( sk1 @ intersection_point ) @ ( A @ ( sk1 @ intersection_point ) @ distinct_points ) )
& ( B @ ( sk1 @ convergent_lines ) )
& ( A @ ( sk1 @ convergent_lines ) ) )
=> ~ ( sk1 @ ( B @ ( sk1 @ intersection_point ) @ ( A @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( ( A @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
& ( A @ ( sk1 @ convergent_lines ) )
& ( sk2 @ ( sk1 @ convergent_lines ) ) )
=> ~ ( sk1 @ ( A @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ) ) ) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ distinct_points ) )
& ( C @ ( A @ convergent_lines ) )
& ( B @ ( A @ convergent_lines ) ) )
=> ~ ( A @ ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ distinct_points ) )
& ( C @ ( A @ convergent_lines ) )
& ( B @ ( A @ convergent_lines ) ) )
=> ~ ( A @ ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ distinct_points ) )
& ( C @ ( A @ convergent_lines ) )
& ( B @ ( A @ convergent_lines ) ) )
=> ~ ( A @ ( C @ ( A @ intersection_point ) @ ( B @ ( A @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
( ( sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
& ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
& ( sk3 @ ( sk1 @ convergent_lines ) )
& ( sk2 @ ( sk1 @ convergent_lines ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(18,plain,
sk3 @ ( sk1 @ convergent_lines ),
inference(cnfConj,[status(thm)],[16]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( ( ( B @ ( C @ apart_point_and_line ) )
| ( A @ ( C @ apart_point_and_line ) ) )
=> ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
thf(44,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( ( ( B @ ( C @ apart_point_and_line ) )
| ( A @ ( C @ apart_point_and_line ) ) )
=> ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ! [C: $i] :
( ( ( B @ ( C @ apart_point_and_line ) )
| ( A @ ( C @ apart_point_and_line ) ) )
=> ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) ) ) ),
inference(miniscope,[status(thm)],[44]) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( B @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) )
& ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ) ),
inference(cnf,[status(esa)],[45]) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(cnfConj,[status(thm)],[46]) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,47]) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[196]) ).
thf(198,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk1 @ ( A @ apart_point_and_line ) ) ),
inference(pattern_uni,[status(thm)],[197:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(211,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk1 @ ( A @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[198]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_points ) )
=> ( ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
thf(30,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_points ) )
=> ( ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ distinct_points ) )
=> ! [C: $i] :
( ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) ) ) ),
inference(miniscope,[status(thm)],[30]) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) )
| ~ ( B @ ( A @ distinct_points ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( C @ ( B @ distinct_points ) )
!= ( C @ ( A @ distinct_points ) ) )
| ( C @ ( A @ distinct_points ) )
| ~ ( B @ ( A @ distinct_points ) ) ),
inference(eqfactor_ordered,[status(thm)],[32]) ).
thf(131,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ distinct_points ) )
| ~ ( A @ ( A @ distinct_points ) ) ),
inference(pattern_uni,[status(thm)],[130:[bind(A,$thf( B ))]]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ distinct_points ) )
| ~ ( A @ ( A @ distinct_points ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_points ) )
=> ( ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
=> ( ( B @ ( C @ distinct_points ) )
& ( A @ ( C @ distinct_points ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
thf(39,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_points ) )
=> ( ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
=> ( ( B @ ( C @ distinct_points ) )
& ( A @ ( C @ distinct_points ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ distinct_points ) )
=> ! [C: $i] :
( ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
=> ( ( B @ ( C @ distinct_points ) )
& ( A @ ( C @ distinct_points ) ) ) ) ),
inference(miniscope,[status(thm)],[39]) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ distinct_points ) ) )
& ( ( A @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ distinct_points ) ) ) ),
inference(cnf,[status(esa)],[40]) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ distinct_points ) ) ),
inference(cnfConj,[status(thm)],[41]) ).
thf(191,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
!= ( E @ ( D @ distinct_points ) ) )
| ( D @ ( F @ distinct_points ) )
| ~ ( E @ ( D @ line_connecting ) @ ( F @ apart_point_and_line ) )
| ~ $true
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(paramod_ordered,[status(thm)],[47,42]) ).
thf(192,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
!= ( E @ ( D @ distinct_points ) ) )
| ( D @ ( F @ distinct_points ) )
| ~ ( E @ ( D @ line_connecting ) @ ( F @ apart_point_and_line ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(simp,[status(thm)],[191]) ).
thf(193,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ distinct_points ) )
| ~ ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) @ ( B @ apart_point_and_line ) )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) ) ),
inference(pattern_uni,[status(thm)],[192:[bind(A,$thf( G )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( H @ ( G @ intersection_point ) ))]]) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ distinct_points ) )
| ~ ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) @ ( B @ apart_point_and_line ) )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) ) ),
inference(simp,[status(thm)],[193]) ).
thf(221,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) @ ( B @ apart_point_and_line ) )
!= ( C @ ( A @ apart_point_and_line ) ) )
| ( A @ ( B @ distinct_points ) )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) ) ),
inference(eqfactor_ordered,[status(thm)],[210]) ).
thf(223,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) )
!= C )
| ( B != A )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) )
| ( A @ ( B @ distinct_points ) ) ),
inference(simp,[status(thm)],[221]) ).
thf(224,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ intersection_point ) @ ( A @ line_connecting ) )
!= B )
| ~ ( B @ ( A @ apart_point_and_line ) )
| ~ ( C @ ( B @ convergent_lines ) )
| ( A @ ( A @ distinct_points ) ) ),
inference(simp,[status(thm)],[223]) ).
thf(19,plain,
sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ),
inference(cnfConj,[status(thm)],[16]) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19,32]) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( C @ ( B @ distinct_points ) )
| ( C @ ( A @ distinct_points ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(117,plain,
! [A: $i] :
( ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ distinct_points ) )
| ( A @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) ) ),
inference(pattern_uni,[status(thm)],[116:[bind(A,$thf( sk2 @ ( sk1 @ intersection_point ) )),bind(B,$thf( sk3 @ ( sk1 @ intersection_point ) )),bind(C,$thf( C ))]]) ).
thf(134,plain,
! [A: $i] :
( ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ distinct_points ) )
| ( A @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ distinct_points ) ) ),
inference(cnfConj,[status(thm)],[41]) ).
thf(17,plain,
sk2 @ ( sk1 @ convergent_lines ),
inference(cnfConj,[status(thm)],[16]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( B @ ( A @ distinct_lines ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( B @ ( A @ distinct_lines ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ distinct_lines ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(cnf,[status(esa)],[57]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ distinct_lines ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17,58]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(82,plain,
sk2 @ ( sk1 @ distinct_lines ),
inference(pattern_uni,[status(thm)],[81:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_lines ) )
=> ( ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
thf(33,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ distinct_lines ) )
=> ( ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ distinct_lines ) )
=> ! [C: $i] :
( ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ) ),
inference(miniscope,[status(thm)],[33]) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) )
| ~ ( B @ ( A @ distinct_lines ) ) ),
inference(cnf,[status(esa)],[34]) ).
thf(244,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[82,35]) ).
thf(245,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[244]) ).
thf(246,plain,
! [A: $i] :
( ( A @ ( sk2 @ distinct_lines ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(pattern_uni,[status(thm)],[245:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(254,plain,
! [A: $i] :
( ( A @ ( sk2 @ distinct_lines ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(simp,[status(thm)],[246]) ).
thf(4,axiom,
! [A: $i] :
~ ( A @ ( A @ distinct_lines ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
thf(24,plain,
! [A: $i] :
~ ( A @ ( A @ distinct_lines ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,plain,
sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ),
inference(cnfConj,[status(thm)],[16]) ).
thf(232,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20,35]) ).
thf(233,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(234,plain,
! [A: $i] :
( ( A @ ( sk1 @ distinct_lines ) )
| ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) )),bind(B,$thf( sk1 )),bind(C,$thf( C ))]]) ).
thf(257,plain,
! [A: $i] :
( ( A @ ( sk1 @ distinct_lines ) )
| ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) ) ),
inference(simp,[status(thm)],[234]) ).
thf(5,axiom,
! [A: $i] :
~ ( A @ ( A @ convergent_lines ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
thf(27,plain,
! [A: $i] :
~ ( A @ ( A @ convergent_lines ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,plain,
~ ? [A: $i] : ( A @ ( A @ convergent_lines ) ),
inference(miniscope,[status(thm)],[27]) ).
thf(29,plain,
! [A: $i] :
~ ( A @ ( A @ convergent_lines ) ),
inference(cnf,[status(esa)],[28]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( ( C @ ( B @ convergent_lines ) )
| ( C @ ( A @ convergent_lines ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
thf(36,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ( ( C @ ( B @ convergent_lines ) )
| ( C @ ( A @ convergent_lines ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ convergent_lines ) )
=> ! [C: $i] :
( ( C @ ( B @ convergent_lines ) )
| ( C @ ( A @ convergent_lines ) ) ) ),
inference(miniscope,[status(thm)],[36]) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ convergent_lines ) )
| ( C @ ( A @ convergent_lines ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(cnf,[status(esa)],[37]) ).
thf(3,axiom,
! [A: $i] :
~ ( A @ ( A @ distinct_points ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
thf(21,plain,
! [A: $i] :
~ ( A @ ( A @ distinct_points ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(77,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ distinct_lines ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,58]) ).
thf(78,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(79,plain,
sk3 @ ( sk1 @ distinct_lines ),
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(247,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[79,35]) ).
thf(248,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ distinct_lines ) )
!= ( B @ ( A @ distinct_lines ) ) )
| ( C @ ( B @ distinct_lines ) )
| ( C @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[247]) ).
thf(249,plain,
! [A: $i] :
( ( A @ ( sk3 @ distinct_lines ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(pattern_uni,[status(thm)],[248:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(256,plain,
! [A: $i] :
( ( A @ ( sk3 @ distinct_lines ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(simp,[status(thm)],[249]) ).
thf(199,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
!= ( E @ ( D @ distinct_points ) ) )
| ( E @ ( F @ distinct_points ) )
| ~ ( E @ ( D @ line_connecting ) @ ( F @ apart_point_and_line ) )
| ~ $true
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(paramod_ordered,[status(thm)],[47,43]) ).
thf(200,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
!= ( E @ ( D @ distinct_points ) ) )
| ( E @ ( F @ distinct_points ) )
| ~ ( E @ ( D @ line_connecting ) @ ( F @ apart_point_and_line ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ ( B @ ( A @ convergent_lines ) ) ),
inference(simp,[status(thm)],[199]) ).
thf(201,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ intersection_point ) @ ( B @ distinct_points ) )
| ~ ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) @ ( B @ apart_point_and_line ) )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( G )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( H @ ( G @ intersection_point ) ))]]) ).
thf(212,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ intersection_point ) @ ( B @ distinct_points ) )
| ~ ( D @ ( C @ intersection_point ) @ ( A @ line_connecting ) @ ( B @ apart_point_and_line ) )
| ~ ( C @ ( A @ apart_point_and_line ) )
| ~ ( D @ ( C @ convergent_lines ) ) ),
inference(simp,[status(thm)],[201]) ).
thf(22,plain,
~ ? [A: $i] : ( A @ ( A @ distinct_points ) ),
inference(miniscope,[status(thm)],[21]) ).
thf(23,plain,
! [A: $i] :
~ ( A @ ( A @ distinct_points ) ),
inference(cnf,[status(esa)],[22]) ).
thf(59,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( A @ ( A @ distinct_points ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19,23]) ).
thf(60,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( A @ ( A @ distinct_points ) ) ),
inference(simp,[status(thm)],[59]) ).
thf(61,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) )
!= A )
| ( ( sk2 @ ( sk1 @ intersection_point ) )
!= A ) ),
inference(simp,[status(thm)],[60]) ).
thf(62,plain,
( ( sk3 @ ( sk1 @ intersection_point ) )
!= ( sk2 @ ( sk1 @ intersection_point ) ) ),
inference(simp,[status(thm)],[61]) ).
thf(63,plain,
( ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[62]) ).
thf(64,plain,
sk3 != sk2,
inference(simp,[status(thm)],[63]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ apart_point_and_line ) )
=> ( ( C @ ( A @ apart_point_and_line ) )
| ( C @ ( B @ distinct_lines ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
thf(54,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ apart_point_and_line ) )
=> ( ( C @ ( A @ apart_point_and_line ) )
| ( C @ ( B @ distinct_lines ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ distinct_lines ) )
& ( B @ ( A @ distinct_points ) ) )
=> ( ( D @ ( B @ apart_point_and_line ) )
| ( C @ ( B @ apart_point_and_line ) )
| ( D @ ( A @ apart_point_and_line ) )
| ( C @ ( A @ apart_point_and_line ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
thf(49,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ distinct_lines ) )
& ( B @ ( A @ distinct_points ) ) )
=> ( ( D @ ( B @ apart_point_and_line ) )
| ( C @ ( B @ apart_point_and_line ) )
| ( D @ ( A @ apart_point_and_line ) )
| ( C @ ( A @ apart_point_and_line ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(71,plain,
! [A: $i] :
( ( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( A @ ( A @ convergent_lines ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17,29]) ).
thf(72,plain,
! [A: $i] :
( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( A @ ( A @ convergent_lines ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(74,plain,
! [A: $i] :
( ( sk2 != A )
| ( sk1 != A ) ),
inference(simp,[status(thm)],[72]) ).
thf(76,plain,
sk2 != sk1,
inference(simp,[status(thm)],[74]) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( B @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19,43]) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( B @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[95]) ).
thf(97,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ ( A @ apart_point_and_line ) ) ),
inference(pattern_uni,[status(thm)],[96:[bind(A,$thf( sk2 @ ( sk1 @ intersection_point ) )),bind(B,$thf( sk3 @ ( sk1 @ intersection_point ) )),bind(C,$thf( C ))]]) ).
thf(98,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ ( A @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[97]) ).
thf(25,plain,
~ ? [A: $i] : ( A @ ( A @ distinct_lines ) ),
inference(miniscope,[status(thm)],[24]) ).
thf(26,plain,
! [A: $i] :
~ ( A @ ( A @ distinct_lines ) ),
inference(cnf,[status(esa)],[25]) ).
thf(301,plain,
! [B: $i,A: $i] :
( ( ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( B @ ( B @ distinct_lines ) ) )
| ~ $true
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(paramod_ordered,[status(thm)],[257,26]) ).
thf(302,plain,
! [B: $i,A: $i] :
( ( ( A @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( B @ ( B @ distinct_lines ) ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(simp,[status(thm)],[301]) ).
thf(303,plain,
sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ ( sk1 @ distinct_lines ),
inference(pattern_uni,[status(thm)],[302:[bind(A,$thf( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) )),bind(B,$thf( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) ))]]) ).
thf(266,plain,
! [A: $i] :
( ~ $true
| ( ( A @ ( sk2 @ distinct_lines ) )
!= ( A @ ( sk1 @ distinct_lines ) ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(eqfactor_ordered,[status(thm)],[254]) ).
thf(267,plain,
! [A: $i] :
( ( ( A @ ( sk2 @ distinct_lines ) )
!= ( A @ ( sk1 @ distinct_lines ) ) )
| ( A @ ( sk1 @ distinct_lines ) ) ),
inference(simp,[status(thm)],[266]) ).
thf(69,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( A @ ( A @ convergent_lines ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,29]) ).
thf(70,plain,
! [A: $i] :
( ( sk3 @ ( sk1 @ convergent_lines ) )
!= ( A @ ( A @ convergent_lines ) ) ),
inference(simp,[status(thm)],[69]) ).
thf(73,plain,
! [A: $i] :
( ( sk3 != A )
| ( sk1 != A ) ),
inference(simp,[status(thm)],[70]) ).
thf(75,plain,
sk3 != sk1,
inference(simp,[status(thm)],[73]) ).
thf(205,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17,47]) ).
thf(206,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ convergent_lines ) )
!= ( B @ ( A @ convergent_lines ) ) )
| ( B @ ( A @ intersection_point ) @ ( C @ distinct_points ) )
| ~ ( A @ ( C @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[205]) ).
thf(207,plain,
! [A: $i] :
( ( sk2 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk1 @ ( A @ apart_point_and_line ) ) ),
inference(pattern_uni,[status(thm)],[206:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(214,plain,
! [A: $i] :
( ( sk2 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk1 @ ( A @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[207]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ apart_point_and_line ) )
=> ( ( B @ ( C @ apart_point_and_line ) )
| ( C @ ( A @ distinct_points ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
thf(51,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ apart_point_and_line ) )
=> ( ( B @ ( C @ apart_point_and_line ) )
| ( C @ ( A @ distinct_points ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( A @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19,42]) ).
thf(92,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ distinct_points ) )
!= ( B @ ( A @ distinct_points ) ) )
| ( A @ ( C @ distinct_points ) )
| ~ ( B @ ( A @ line_connecting ) @ ( C @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[91]) ).
thf(93,plain,
! [A: $i] :
( ( sk2 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ ( A @ apart_point_and_line ) ) ),
inference(pattern_uni,[status(thm)],[92:[bind(A,$thf( sk2 @ ( sk1 @ intersection_point ) )),bind(B,$thf( sk3 @ ( sk1 @ intersection_point ) )),bind(C,$thf( C ))]]) ).
thf(94,plain,
! [A: $i] :
( ( sk2 @ ( sk1 @ intersection_point ) @ ( A @ distinct_points ) )
| ~ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ ( A @ apart_point_and_line ) ) ),
inference(simp,[status(thm)],[93]) ).
thf(65,plain,
! [A: $i] :
( ( ( sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( A @ ( A @ distinct_lines ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20,26]) ).
thf(66,plain,
! [A: $i] :
( ( sk1 @ ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) @ distinct_lines ) )
!= ( A @ ( A @ distinct_lines ) ) ),
inference(simp,[status(thm)],[65]) ).
thf(67,plain,
! [A: $i] :
( ( sk1 != A )
| ( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) )
!= A ) ),
inference(simp,[status(thm)],[66]) ).
thf(68,plain,
( ( sk3 @ ( sk1 @ intersection_point ) @ ( sk2 @ ( sk1 @ intersection_point ) @ line_connecting ) )
!= sk1 ),
inference(simp,[status(thm)],[67]) ).
thf(5111,plain,
$false,
inference(e,[status(thm)],[211,133,224,134,18,43,254,42,24,257,20,57,29,38,21,33,256,212,32,64,17,44,27,54,49,76,39,98,303,267,35,26,23,75,58,82,214,36,30,51,19,210,79,94,47,15,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO203+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.23/5.48 % Computer : n001.cluster.edu
% 0.23/5.48 % Model : x86_64 x86_64
% 0.23/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/5.48 % Memory : 8046.5625MB
% 0.23/5.48 % OS : Linux 6.8.0-71-generic
% 0.23/5.49 % CPULimit : 300
% 0.23/5.49 % WCLimit : 300
% 0.23/5.49 % DateTime : Fri Sep 25 13:11:16 UTC 2026
% 0.23/5.49 % CPUTime :
% 0.23/5.49 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.40/6.37 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.91/6.68 % [INFO] Parsing done (305ms).
% 1.91/6.70 % [INFO] Running in sequential loop mode.
% 3.14/7.33 % [INFO] eprover registered as external prover.
% 3.14/7.34 % [INFO] Scanning for conjecture ...
% 3.34/7.49 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 3.53/7.55 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 3.76/7.60 % [INFO] Problem is first-order (TPTP FOF).
% 3.76/7.61 % [INFO] Type checking passed.
% 3.76/7.61 % [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 ...
% 38.34/14.45 % External prover 'e' found a proof!
% 38.34/14.45 % [INFO] Killing All external provers ...
% 38.34/14.46 % Time passed: 8746ms (effective reasoning time: 7746ms)
% 38.34/14.46 % 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)>
% 38.34/14.46 % Axioms used in derivation (12): apart3, con2, ceq3, apart6, apart4, ceq2, apart5, apart1, con1, apart2, ceq1, cu1
% 38.34/14.46 % No. of inferences in proof: 128
% 38.34/14.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8746 ms resp. 7746 ms w/o parsing
% 32.88/14.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 33.34/14.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------