%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 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 08:00:53 AM UTC 2026
% Result : Theorem 5.01s 7.82s
% Output : Refutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 37
% Syntax : Number of formulae : 76 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 185 ( 13 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 560 ( 9 ~; 12 |; 41 &; 442 @)
% ( 13 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 9 con; 0-8 aty)
% Number of variables : 133 ( 0 ^; 127 !; 6 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(prec_decl,type,
prec: $i > $i > $i > $i > $o ).
thf(v5_decl,type,
v5: $i ).
thf(o_decl,type,
o: $i ).
thf(axis_compatible_decl,type,
axis_compatible: $i > $i > $i > $i > $o ).
thf(in_closed_decl,type,
in_closed: $i > $i > $i > $o ).
thf(axis_subsumes_decl,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(axis_conflict_decl,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(upper_tag_decl,type,
upper_tag: $i > $i > $o ).
thf(gteq_decl,type,
gteq: $i ).
thf(c_decl,type,
c: $i ).
thf(lower_tag_decl,type,
lower_tag: $i > $i > $o ).
thf(lteq_decl,type,
lteq: $i ).
thf(gt_decl,type,
gt: $i ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(eq_decl,type,
eq: $i ).
thf(is_ep_type_decl,type,
is_ep_type: $i > $o ).
thf(in_lopen_decl,type,
in_lopen: $i > $i > $i > $o ).
thf(in_ropen_decl,type,
in_ropen: $i > $i > $i > $o ).
thf(in_open_decl,type,
in_open: $i > $i > $i > $o ).
thf(lt_decl,type,
lt: $i ).
thf(val_decl,type,
val: $i > $o ).
thf(disjoint_decl,type,
disjoint: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(101,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ less ) ) )
=> ( B @ ( A @ leq ) ) )
& ( ( B @ ( A @ leq ) )
=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_open ) ) )
<=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ less ) )
& ( A @ ( B @ less ) ) )
=> ( C @ ( B @ ( A @ in_open ) ) ) )
& ( ( C @ ( B @ ( A @ in_open ) ) )
=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( c @ ( c @ ( B @ ( A @ prec ) ) ) )
<=> ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prec_cc) ).
thf(157,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ less ) )
=> ( c @ ( c @ ( B @ ( A @ prec ) ) ) ) )
& ( ( c @ ( c @ ( B @ ( A @ prec ) ) ) )
=> ( B @ ( A @ less ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_lopen ) ) )
<=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).
thf(93,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ leq ) )
& ( A @ ( B @ less ) ) )
=> ( C @ ( B @ ( A @ in_lopen ) ) ) )
& ( ( C @ ( B @ ( A @ in_lopen ) ) )
=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_trans) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,axiom,
c != o,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ep_types_distinct) ).
thf(129,plain,
c != o,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(27,axiom,
c @ ( eq @ lower_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_tag_eq) ).
thf(128,plain,
c @ ( eq @ lower_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(7,axiom,
c @ ( lteq @ lower_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_tag_lteq) ).
thf(64,plain,
c @ ( lteq @ lower_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).
thf(118,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(26,axiom,
c @ ( lt @ lower_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_tag_lt) ).
thf(127,plain,
c @ ( lt @ lower_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(87,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_closed ) ) )
<=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ leq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_closed) ).
thf(79,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ leq ) )
& ( A @ ( B @ leq ) ) )
=> ( C @ ( B @ ( A @ in_closed ) ) ) )
& ( ( C @ ( B @ ( A @ in_closed ) ) )
=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ leq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ is_ep_type )
=> ( ( A = o )
| ( A = c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ep_type_enum) ).
thf(147,plain,
! [A: $i] :
( ( A @ is_ep_type )
=> ( ( A = o )
| ( A = c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(29,axiom,
o @ ( lt @ upper_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_tag_lt) ).
thf(132,plain,
o @ ( lt @ upper_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( c @ ( o @ ( B @ ( A @ prec ) ) ) )
<=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prec_oc) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ leq ) )
=> ( c @ ( o @ ( B @ ( A @ prec ) ) ) ) )
& ( ( c @ ( o @ ( B @ ( A @ prec ) ) ) )
=> ( B @ ( A @ leq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_less_trans) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(19,axiom,
c @ ( gteq @ lower_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_tag_gteq) ).
thf(92,plain,
c @ ( gteq @ lower_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(8,axiom,
c @ ( gt @ upper_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_tag_gt) ).
thf(65,plain,
c @ ( gt @ upper_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
v5 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v5) ).
thf(156,plain,
v5 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( o @ ( o @ ( B @ ( A @ prec ) ) ) )
<=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prec_oo) ).
thf(141,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ leq ) )
=> ( o @ ( o @ ( B @ ( A @ prec ) ) ) ) )
& ( ( o @ ( o @ ( B @ ( A @ prec ) ) ) )
=> ( B @ ( A @ leq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(71,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
c @ is_ep_type,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ep_c_is_ep) ).
thf(86,plain,
c @ is_ep_type,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
c @ ( eq @ upper_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_tag_eq) ).
thf(76,plain,
c @ ( eq @ upper_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,conjecture,
o @ ( o @ ( v5 @ ( v5 @ prec ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl604) ).
thf(2,negated_conjecture,
~ ( o @ ( o @ ( v5 @ ( v5 @ prec ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(39,plain,
~ ( o @ ( o @ ( v5 @ ( v5 @ prec ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(32,axiom,
o @ ( gt @ lower_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_tag_gt) ).
thf(140,plain,
o @ ( gt @ lower_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_leq_trans) ).
thf(66,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
c @ ( gteq @ upper_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_tag_gteq) ).
thf(63,plain,
c @ ( gteq @ upper_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( o @ ( c @ ( B @ ( A @ prec ) ) ) )
<=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prec_co) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ leq ) )
=> ( o @ ( c @ ( B @ ( A @ prec ) ) ) ) )
& ( ( o @ ( c @ ( B @ ( A @ prec ) ) ) )
=> ( B @ ( A @ leq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) )
<=> ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_compatible_def) ).
thf(40,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) )
=> ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) )
=> ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) )
<=> ~ ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_conflict_def) ).
thf(55,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) )
=> ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) )
=> ~ ? [E: $i] :
( ( D @ ( C @ ( E @ in_closed ) ) )
& ( B @ ( A @ ( E @ in_closed ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(31,axiom,
o @ is_ep_type,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ep_o_is_ep) ).
thf(139,plain,
o @ is_ep_type,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
<=> ! [E: $i] :
( ( B @ ( A @ ( E @ in_closed ) ) )
=> ( D @ ( C @ ( E @ in_closed ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_subsumes_def) ).
thf(47,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i] :
( ( B @ ( A @ ( E @ in_closed ) ) )
=> ( D @ ( C @ ( E @ in_closed ) ) ) )
=> ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ in_closed ) ) )
=> ( D @ ( C @ ( E @ in_closed ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ disjoint ) ) ) ) ) ) ) )
<=> ( ( C @ ( H @ ( A @ ( F @ prec ) ) ) )
| ( G @ ( D @ ( E @ ( B @ prec ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_def) ).
thf(163,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( ( C @ ( H @ ( A @ ( F @ prec ) ) ) )
| ( G @ ( D @ ( E @ ( B @ prec ) ) ) ) )
=> ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ disjoint ) ) ) ) ) ) ) ) )
& ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ disjoint ) ) ) ) ) ) ) )
=> ( ( C @ ( H @ ( A @ ( F @ prec ) ) ) )
| ( G @ ( D @ ( E @ ( B @ prec ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(10,axiom,
! [A: $i] :
~ ( A @ ( A @ less ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(68,plain,
! [A: $i] :
~ ( A @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(21,axiom,
c @ ( lteq @ upper_tag ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_tag_lteq) ).
thf(100,plain,
c @ ( lteq @ upper_tag ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(90,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_ropen ) ) )
<=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ leq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_ropen) ).
thf(111,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ less ) )
& ( A @ ( B @ leq ) ) )
=> ( C @ ( B @ ( A @ in_ropen ) ) ) )
& ( ( C @ ( B @ ( A @ in_ropen ) ) )
=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ leq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(171,plain,
$false,
inference(e,[status(thm)],[101,120,157,93,77,129,128,64,118,127,87,79,147,132,133,74,92,65,156,141,71,86,76,39,140,66,63,150,40,55,139,47,163,68,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % 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
% 0.12/5.39 % Computer : n001.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 00:18:16 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 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
% 0.16/5.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.48/6.22 % [INFO] Parsing done (233ms).
% 1.48/6.23 % [INFO] Running in sequential loop mode.
% 2.16/6.63 % [INFO] eprover registered as external prover.
% 2.16/6.64 % [INFO] Scanning for conjecture ...
% 2.36/6.73 % [INFO] Found a conjecture (or negated_conjecture) and 47 axioms. Running axiom selection ...
% 2.53/6.80 % [INFO] Axiom selection finished. Selected 36 axioms (removed 11 axioms).
% 2.53/6.87 % [INFO] Problem is first-order (TPTP FOF).
% 2.53/6.88 % [INFO] Type checking passed.
% 2.53/6.89 % [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 ...
% 5.01/7.81 % External prover 'e' found a proof!
% 5.01/7.81 % [INFO] Killing All external provers ...
% 5.01/7.81 % Time passed: 2275ms (effective reasoning time: 1572ms)
% 5.01/7.81 % 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)>
% 5.01/7.81 % Axioms used in derivation (36): val_v5, upper_tag_gteq, upper_tag_lteq, lower_tag_eq, lower_tag_lt, lower_tag_gteq, lower_tag_lteq, ep_c_is_ep, upper_tag_eq, leq_def, leq_antisym, prec_oo, axis_subsumes_def, less_implies_leq, in_ropen, leq_trans, leq_less_trans, ep_o_is_ep, prec_co, axis_conflict_def, irreflexive, lower_tag_gt, in_closed, in_lopen, ep_types_distinct, less_leq_trans, axis_compatible_def, trichotomy, transitive, disjoint_def, in_open, ep_type_enum, upper_tag_gt, prec_oc, prec_cc, upper_tag_lt
% 5.01/7.81 % No. of inferences in proof: 76
% 5.01/7.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2275 ms resp. 1572 ms w/o parsing
% 5.28/7.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.28/7.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------