%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 08:00:52 AM UTC 2026
% Result : Theorem 11.95s 6.63s
% Output : Refutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 47
% Syntax : Number of formulae : 143 ( 98 unt; 0 typ; 1 def)
% Number of atoms : 340 ( 109 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 917 ( 137 ~; 31 |; 124 &; 584 @)
% ( 8 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 155 ( 4 ^; 130 !; 20 ?; 155 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(in_lopen_decl,type,
in_lopen: $i > $i > $i > $o ).
thf(v0_decl,type,
v0: $i ).
thf(v600_decl,type,
v600: $i ).
thf(v400_decl,type,
v400: $i ).
thf(v32_decl,type,
v32: $i ).
thf(v1200_decl,type,
v1200: $i ).
thf(v800_decl,type,
v800: $i ).
thf(v16_decl,type,
v16: $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(less_decl,type,
less: $i > $i > $o ).
thf(leq_decl,type,
leq: $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(val_decl,type,
val: $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i > $i > $i > $i ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: $i] :
( ( A @ ( B @ ( E @ in_closed ) ) )
& ( C @ ( D @ ( E @ in_closed ) ) ) ) ) ) ).
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/sandbox/benchmark/theBenchmark.p',axis_conflict_def) ).
thf(69,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(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_closed ) ) )
<=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ leq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_closed) ).
thf(120,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)],[17]) ).
thf(38,axiom,
v1200 @ ( v800 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v800_v1200) ).
thf(153,plain,
v1200 @ ( v800 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(44,axiom,
( ( v800 != v1200 )
& ( v600 != v1200 )
& ( v600 != v800 )
& ( v400 != v1200 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v32 != v1200 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v400 )
& ( v16 != v1200 )
& ( v16 != v800 )
& ( v16 != v600 )
& ( v16 != v400 )
& ( v16 != v32 )
& ( v0 != v1200 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v400 )
& ( v0 != v32 )
& ( v0 != v16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
thf(159,plain,
( ( v800 != v1200 )
& ( v600 != v1200 )
& ( v600 != v800 )
& ( v400 != v1200 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v32 != v1200 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v400 )
& ( v16 != v1200 )
& ( v16 != v800 )
& ( v16 != v600 )
& ( v16 != v400 )
& ( v16 != v32 )
& ( v0 != v1200 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v400 )
& ( v0 != v32 )
& ( v0 != v16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(160,plain,
( ( v800 != v1200 )
& ( v600 != v1200 )
& ( v600 != v800 )
& ( v400 != v1200 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v32 != v1200 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v400 )
& ( v16 != v1200 )
& ( v16 != v800 )
& ( v16 != v600 )
& ( v16 != v400 )
& ( v16 != v32 )
& ( v0 != v1200 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v400 )
& ( v0 != v32 )
& ( v0 != v16 ) ),
inference(cnf,[status(esa)],[159]) ).
thf(169,plain,
v32 != v400,
inference(cnfConj,[status(thm)],[160]) ).
thf(185,plain,
v32 != v400,
inference(lifteq,[status(thm)],[169]) ).
thf(177,plain,
v16 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(192,plain,
v16 != v1200,
inference(lifteq,[status(thm)],[177]) ).
thf(20,axiom,
v1200 @ ( v600 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v1200) ).
thf(129,plain,
v1200 @ ( v600 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(176,plain,
v800 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(187,plain,
v800 != v1200,
inference(lifteq,[status(thm)],[176]) ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i] :
( ~ ( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v1200 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl350) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i] :
( ~ ( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v1200 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(48,plain,
~ ? [A: $i,B: $i,C: $i] :
( ~ ( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v1200 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(49,plain,
~ ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ~ ( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
& ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
& ( v1200 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) ) )
& ( v400 @ ( v0 @ ( B @ in_lopen ) ) ) )
& ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(miniscope,[status(thm)],[48]) ).
thf(50,plain,
! [C: $i,B: $i,A: $i] :
( ( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) )
& ( ( v1200 @ ( v0 @ ( A @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ) ),
inference(cnf,[status(esa)],[49]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ( v800 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(cnfConj,[status(thm)],[50]) ).
thf(165,plain,
v400 != v600,
inference(cnfConj,[status(thm)],[160]) ).
thf(184,plain,
v400 != v600,
inference(lifteq,[status(thm)],[165]) ).
thf(164,plain,
v0 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(196,plain,
v1200 != v0,
inference(lifteq,[status(thm)],[164]) ).
thf(42,axiom,
v1200 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v1200) ).
thf(157,plain,
v1200 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(172,plain,
v0 != v600,
inference(cnfConj,[status(thm)],[160]) ).
thf(189,plain,
v600 != v0,
inference(lifteq,[status(thm)],[172]) ).
thf(37,axiom,
v400 @ ( v32 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v32_v400) ).
thf(152,plain,
v400 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
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/sandbox/benchmark/theBenchmark.p',axis_compatible_def) ).
thf(54,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(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_compatible ) ) ) ) )
& ! [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 ) ) ) ) ) ),
inference(miniscope,[status(thm)],[54]) ).
thf(56,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( H @ ( G @ ( F @ ( E @ axis_compatible ) ) ) )
| ~ ( H @ ( G @ ( I @ in_closed ) ) )
| ~ ( F @ ( E @ ( I @ in_closed ) ) ) )
& ( ( D @ ( C @ ( A @ ( B @ ( C @ ( D @ sk1 ) ) ) @ in_closed ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) )
& ( ( B @ ( A @ ( A @ ( B @ ( C @ ( D @ sk1 ) ) ) @ in_closed ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) ) ),
inference(cnf,[status(esa)],[55]) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ ( C @ ( D @ sk1 ) ) ) @ in_closed ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) ),
inference(cnfConj,[status(thm)],[56]) ).
thf(32,axiom,
v32 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v32) ).
thf(147,plain,
v32 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
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/sandbox/benchmark/theBenchmark.p',axis_subsumes_def) ).
thf(61,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(23,axiom,
v16 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v16) ).
thf(132,plain,
v16 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(24,axiom,
v600 @ ( v16 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v600) ).
thf(133,plain,
v600 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_less_trans) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_ropen ) ) )
<=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ leq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_ropen) ).
thf(102,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)],[13]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_def) ).
thf(92,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)],[12]) ).
thf(179,plain,
v0 != v16,
inference(cnfConj,[status(thm)],[160]) ).
thf(197,plain,
v16 != v0,
inference(lifteq,[status(thm)],[179]) ).
thf(41,axiom,
v400 @ ( v16 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v400) ).
thf(156,plain,
v400 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(181,plain,
v0 != v800,
inference(cnfConj,[status(thm)],[160]) ).
thf(188,plain,
v800 != v0,
inference(lifteq,[status(thm)],[181]) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( v16 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(cnfConj,[status(thm)],[50]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive) ).
thf(109,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_leq_trans) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(175,plain,
v32 != v600,
inference(cnfConj,[status(thm)],[160]) ).
thf(193,plain,
v32 != v600,
inference(lifteq,[status(thm)],[175]) ).
thf(25,axiom,
v1200 @ ( v32 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v32_v1200) ).
thf(134,plain,
v1200 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(19,axiom,
v16 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v16) ).
thf(128,plain,
v16 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(47,axiom,
v0 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v0) ).
thf(205,plain,
v0 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,axiom,
v800 @ ( v32 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v32_v800) ).
thf(148,plain,
v800 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(34,axiom,
v32 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v32) ).
thf(149,plain,
v32 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(162,plain,
v16 != v600,
inference(cnfConj,[status(thm)],[160]) ).
thf(191,plain,
v16 != v600,
inference(lifteq,[status(thm)],[162]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_trans) ).
thf(118,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(46,axiom,
v600 @ ( v32 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v32_v600) ).
thf(204,plain,
v600 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(29,axiom,
v800 @ ( v16 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v800) ).
thf(144,plain,
v800 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(40,axiom,
v800 @ ( v400 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v800) ).
thf(155,plain,
v800 @ ( v400 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(166,plain,
v16 != v400,
inference(cnfConj,[status(thm)],[160]) ).
thf(198,plain,
v16 != v400,
inference(lifteq,[status(thm)],[166]) ).
thf(21,axiom,
v400 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v400) ).
thf(130,plain,
v400 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(26,axiom,
v800 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v800) ).
thf(135,plain,
v800 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(171,plain,
v16 != v800,
inference(cnfConj,[status(thm)],[160]) ).
thf(194,plain,
v16 != v800,
inference(lifteq,[status(thm)],[171]) ).
thf(30,axiom,
v600 @ ( v400 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v600) ).
thf(145,plain,
v600 @ ( v400 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,axiom,
v1200 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v1200) ).
thf(150,plain,
v1200 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(161,plain,
v0 != v400,
inference(cnfConj,[status(thm)],[160]) ).
thf(199,plain,
v400 != v0,
inference(lifteq,[status(thm)],[161]) ).
thf(170,plain,
v32 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(182,plain,
v1200 != v32,
inference(lifteq,[status(thm)],[170]) ).
thf(18,axiom,
v1200 @ ( v16 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v1200) ).
thf(127,plain,
v1200 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(39,axiom,
v1200 @ ( v400 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v1200) ).
thf(154,plain,
v1200 @ ( v400 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(28,axiom,
v800 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v800) ).
thf(143,plain,
v800 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox/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)],[10]) ).
thf(45,axiom,
v400 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v400) ).
thf(203,plain,
v400 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(43,axiom,
v32 @ ( v16 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v32) ).
thf(158,plain,
v32 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(173,plain,
v400 != v800,
inference(cnfConj,[status(thm)],[160]) ).
thf(186,plain,
v800 != v400,
inference(lifteq,[status(thm)],[173]) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( A @ ( B @ ( C @ ( D @ sk1 ) ) ) @ in_closed ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) ),
inference(cnfConj,[status(thm)],[56]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_antisym) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
v800 @ ( v600 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v800) ).
thf(151,plain,
v800 @ ( v600 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(31,axiom,
v600 @ ( v0 @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(146,plain,
v600 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( v1200 @ ( v0 @ ( A @ in_lopen ) ) )
| ~ ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
| ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
| ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ),
inference(cnfConj,[status(thm)],[50]) ).
thf(167,plain,
v600 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(190,plain,
v1200 != v600,
inference(lifteq,[status(thm)],[167]) ).
thf(174,plain,
v0 != v32,
inference(cnfConj,[status(thm)],[160]) ).
thf(183,plain,
v32 != v0,
inference(lifteq,[status(thm)],[174]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_lopen ) ) )
<=> ( ( C @ ( A @ leq ) )
& ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen) ).
thf(136,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)],[27]) ).
thf(7,axiom,
! [A: $i] :
~ ( A @ ( A @ less ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
thf(79,plain,
! [A: $i] :
~ ( A @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(168,plain,
v600 != v800,
inference(cnfConj,[status(thm)],[160]) ).
thf(195,plain,
v800 != v600,
inference(lifteq,[status(thm)],[168]) ).
thf(22,axiom,
v600 @ val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v600) ).
thf(131,plain,
v600 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(180,plain,
v400 != v1200,
inference(cnfConj,[status(thm)],[160]) ).
thf(200,plain,
v1200 != v400,
inference(lifteq,[status(thm)],[180]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox/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)],[11]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ in_open ) ) )
<=> ( ( C @ ( A @ less ) )
& ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_open) ).
thf(111,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)],[15]) ).
thf(781,plain,
$false,
inference(e,[status(thm)],[69,120,153,185,192,129,187,52,184,196,157,189,152,57,147,61,132,133,85,102,92,197,156,188,53,109,77,193,134,128,205,148,149,191,118,204,54,144,159,155,198,130,135,194,145,48,150,199,182,127,154,143,87,203,158,186,58,82,151,146,51,190,183,136,79,195,131,200,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.43 % Computer : n010.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Sat Sep 26 00:12:14 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.01/1.34 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.58/1.74 % [INFO] Parsing done (402ms).
% 1.58/1.76 % [INFO] Running in sequential loop mode.
% 2.15/2.28 % [INFO] eprover registered as external prover.
% 2.15/2.29 % [INFO] Scanning for conjecture ...
% 2.49/2.44 % [INFO] Found a conjecture (or negated_conjecture) and 56 axioms. Running axiom selection ...
% 2.60/2.60 % [INFO] Axiom selection finished. Selected 45 axioms (removed 11 axioms).
% 2.72/2.67 % [INFO] Problem is first-order (TPTP FOF).
% 2.72/2.68 % [INFO] Type checking passed.
% 2.72/2.69 % [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 ...
% 11.95/6.62 % External prover 'e' found a proof!
% 11.95/6.62 % [INFO] Killing All external provers ...
% 11.95/6.62 % Time passed: 5976ms (effective reasoning time: 4855ms)
% 11.95/6.62 % 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)>
% 11.95/6.63 % Axioms used in derivation (45): leq_antisym, ord_v400_v800, ord_v600_v1200, val_v600, ord_v400_v1200, val_v32, irreflexive, ord_v0_v1200, ord_v16_v800, ord_v800_v1200, ord_v0_v800, ord_v32_v600, ord_v16_v400, ord_v0_v400, ord_v16_v1200, val_v1200, ord_v0_v32, ord_v600_v800, val_v16, axis_subsumes_def, less_implies_leq, in_ropen, leq_trans, leq_less_trans, ord_v16_v600, val_v0, ord_v0_v16, axis_conflict_def, val_v400, in_closed, in_lopen, distinct, ord_v16_v32, less_leq_trans, axis_compatible_def, trichotomy, ord_v400_v600, transitive, in_open, ord_v0_v600, ord_v32_v400, ord_v32_v1200, val_v800, ord_v32_v800, leq_def
% 11.95/6.63 % No. of inferences in proof: 142
% 11.95/6.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5976 ms resp. 4855 ms w/o parsing
% 10.90/6.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.18/6.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------