%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 : n007.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 7.99s 4.36s
% Output : Refutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 63
% Syntax : Number of formulae : 128 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 301 ( 79 equ; 0 cnn)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 742 ( 82 ~; 7 |; 127 &; 487 @)
% ( 8 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 111 ( 0 ^; 93 !; 18 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_closed_decl,type,
in_closed: $i > $i > $i > $o ).
thf(v600_decl,type,
v600: $i ).
thf(v800_decl,type,
v800: $i ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(v100_decl,type,
v100: $i ).
thf(in_open_decl,type,
in_open: $i > $i > $i > $o ).
thf(v0_decl,type,
v0: $i ).
thf(v500_decl,type,
v500: $i ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(v8_decl,type,
v8: $i ).
thf(in_lopen_decl,type,
in_lopen: $i > $i > $i > $o ).
thf(v32_decl,type,
v32: $i ).
thf(v300_decl,type,
v300: $i ).
thf(v150_decl,type,
v150: $i ).
thf(val_decl,type,
val: $i > $o ).
thf(axis_compatible_decl,type,
axis_compatible: $i > $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(in_ropen_decl,type,
in_ropen: $i > $i > $i > $o ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(257,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)],[61]) ).
thf(4,axiom,
v600 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v600) ).
thf(78,plain,
v600 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(47,axiom,
v600 @ ( v100 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v600) ).
thf(243,plain,
v600 @ ( v100 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,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(141,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(26,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(129,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(10,axiom,
v8 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v8) ).
thf(86,plain,
v8 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
v800 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v800) ).
thf(95,plain,
v800 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(34,axiom,
( ( v600 != v800 )
& ( v500 != v800 )
& ( v500 != v600 )
& ( v300 != v800 )
& ( v300 != v600 )
& ( v300 != v500 )
& ( v150 != v800 )
& ( v150 != v600 )
& ( v150 != v500 )
& ( v150 != v300 )
& ( v100 != v800 )
& ( v100 != v600 )
& ( v100 != v500 )
& ( v100 != v300 )
& ( v100 != v150 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v500 )
& ( v32 != v300 )
& ( v32 != v150 )
& ( v32 != v100 )
& ( v8 != v800 )
& ( v8 != v600 )
& ( v8 != v500 )
& ( v8 != v300 )
& ( v8 != v150 )
& ( v8 != v100 )
& ( v8 != v32 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v500 )
& ( v0 != v300 )
& ( v0 != v150 )
& ( v0 != v100 )
& ( v0 != v32 )
& ( v0 != v8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(143,plain,
( ( v600 != v800 )
& ( v500 != v800 )
& ( v500 != v600 )
& ( v300 != v800 )
& ( v300 != v600 )
& ( v300 != v500 )
& ( v150 != v800 )
& ( v150 != v600 )
& ( v150 != v500 )
& ( v150 != v300 )
& ( v100 != v800 )
& ( v100 != v600 )
& ( v100 != v500 )
& ( v100 != v300 )
& ( v100 != v150 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v500 )
& ( v32 != v300 )
& ( v32 != v150 )
& ( v32 != v100 )
& ( v8 != v800 )
& ( v8 != v600 )
& ( v8 != v500 )
& ( v8 != v300 )
& ( v8 != v150 )
& ( v8 != v100 )
& ( v8 != v32 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v500 )
& ( v0 != v300 )
& ( v0 != v150 )
& ( v0 != v100 )
& ( v0 != v32 )
& ( v0 != v8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(27,axiom,
! [A: $i] :
~ ( A @ ( A @ less ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(131,plain,
! [A: $i] :
~ ( A @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(18,axiom,
v800 @ ( v600 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
thf(101,plain,
v800 @ ( v600 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(53,axiom,
v0 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(249,plain,
v0 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(44,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(234,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)],[44]) ).
thf(12,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(88,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)],[12]) ).
thf(35,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(217,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)],[35]) ).
thf(24,axiom,
v800 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v800) ).
thf(120,plain,
v800 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(51,axiom,
v600 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v600) ).
thf(247,plain,
v600 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(57,axiom,
v500 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v500) ).
thf(253,plain,
v500 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(25,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(121,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)],[25]) ).
thf(8,axiom,
v600 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(84,plain,
v600 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(43,axiom,
v300 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v300) ).
thf(233,plain,
v300 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(52,axiom,
v500 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v500) ).
thf(248,plain,
v500 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(9,axiom,
v600 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(85,plain,
v600 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(19,axiom,
v150 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v150) ).
thf(102,plain,
v150 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(64,axiom,
v500 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v500) ).
thf(275,plain,
v500 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(137,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(40,axiom,
v100 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v100) ).
thf(229,plain,
v100 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(56,axiom,
v500 @ ( v100 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v500) ).
thf(252,plain,
v500 @ ( v100 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(1,conjecture,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( v150 @ leq ) )
& ( v300 @ ( v0 @ ( D @ in_lopen ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( C @ ( v8 @ leq ) )
& ( v500 @ ( v0 @ ( B @ in_open ) ) )
& ( B @ ( v100 @ less ) )
& ( v800 @ ( v800 @ ( A @ in_closed ) ) )
& ( v600 @ ( v600 @ ( A @ in_closed ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl365) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( v150 @ leq ) )
& ( v300 @ ( v0 @ ( D @ in_lopen ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( C @ ( v8 @ leq ) )
& ( v500 @ ( v0 @ ( B @ in_open ) ) )
& ( B @ ( v100 @ less ) )
& ( v800 @ ( v800 @ ( A @ in_closed ) ) )
& ( v600 @ ( v600 @ ( A @ in_closed ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(65,plain,
~ ~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( v150 @ leq ) )
& ( v300 @ ( v0 @ ( D @ in_lopen ) ) )
& ( v32 @ ( v0 @ ( C @ in_lopen ) ) )
& ( C @ ( v8 @ leq ) )
& ( v500 @ ( v0 @ ( B @ in_open ) ) )
& ( B @ ( v100 @ less ) )
& ( v800 @ ( v800 @ ( A @ in_closed ) ) )
& ( v600 @ ( v600 @ ( A @ in_closed ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,axiom,
v32 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v32) ).
thf(97,plain,
v32 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(36,axiom,
v300 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v300) ).
thf(224,plain,
v300 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(60,axiom,
v300 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v300) ).
thf(256,plain,
v300 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(37,axiom,
v800 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v800) ).
thf(225,plain,
v800 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(3,axiom,
v300 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v300) ).
thf(77,plain,
v300 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
v500 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v500) ).
thf(96,plain,
v500 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,axiom,
v800 @ ( v500 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v800) ).
thf(134,plain,
v800 @ ( v500 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(22,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(105,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)],[22]) ).
thf(48,axiom,
v600 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v600) ).
thf(244,plain,
v600 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(41,axiom,
v8 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v8) ).
thf(230,plain,
v8 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(49,axiom,
v300 @ ( v100 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v300) ).
thf(245,plain,
v300 @ ( v100 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(16,axiom,
v800 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v800) ).
thf(98,plain,
v800 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,axiom,
v100 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v100) ).
thf(103,plain,
v100 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(32,axiom,
v100 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v100) ).
thf(140,plain,
v100 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(55,axiom,
v32 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v32) ).
thf(251,plain,
v32 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(29,axiom,
v800 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v800) ).
thf(135,plain,
v800 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(38,axiom,
v600 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v600) ).
thf(226,plain,
v600 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(62,axiom,
v600 @ ( v500 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v600) ).
thf(267,plain,
v600 @ ( v500 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(45,axiom,
v150 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v150) ).
thf(241,plain,
v150 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(59,axiom,
v150 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v150) ).
thf(255,plain,
v150 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(23,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(112,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)],[23]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(99,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
v150 @ ( v100 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v150) ).
thf(87,plain,
v150 @ ( v100 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
v300 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v300) ).
thf(104,plain,
v300 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(54,axiom,
v800 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v800) ).
thf(250,plain,
v800 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(42,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(231,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(50,axiom,
v150 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v150) ).
thf(246,plain,
v150 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(6,axiom,
v500 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v500) ).
thf(82,plain,
v500 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(46,axiom,
v500 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v500) ).
thf(242,plain,
v500 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(30,axiom,
v100 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v100) ).
thf(136,plain,
v100 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(63,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(268,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)],[63]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(79,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
v32 @ ( v8 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v8_v32) ).
thf(83,plain,
v32 @ ( v8 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(58,axiom,
v800 @ ( v100 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v800) ).
thf(254,plain,
v800 @ ( v100 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(39,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(227,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(276,plain,
$false,
inference(e,[status(thm)],[257,78,243,141,129,86,95,143,131,101,249,234,88,217,120,247,253,121,84,233,248,85,102,275,137,229,252,65,97,224,256,225,77,96,134,105,244,230,245,98,103,140,251,135,226,267,241,255,112,99,87,104,250,231,246,82,242,136,268,79,83,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.13 % 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
% 0.25/0.52 % Computer : n007.cluster.edu
% 0.25/0.52 % Model : x86_64 x86_64
% 0.25/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.52 % Memory : 8046.5625MB
% 0.25/0.52 % OS : Linux 6.8.0-71-generic
% 0.25/0.52 % CPULimit : 300
% 0.25/0.52 % WCLimit : 300
% 0.25/0.52 % DateTime : Sat Sep 26 00:10:10 UTC 2026
% 0.25/0.52 % CPUTime :
% 0.25/0.52 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
% 1.54/1.41 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.13/1.77 % [INFO] Parsing done (359ms).
% 2.13/1.79 % [INFO] Running in sequential loop mode.
% 3.32/2.38 % [INFO] eprover registered as external prover.
% 3.32/2.39 % [INFO] Scanning for conjecture ...
% 3.73/2.58 % [INFO] Found a conjecture (or negated_conjecture) and 73 axioms. Running axiom selection ...
% 4.13/2.73 % [INFO] Axiom selection finished. Selected 62 axioms (removed 11 axioms).
% 4.35/2.81 % [INFO] Problem is first-order (TPTP FOF).
% 4.35/2.83 % [INFO] Type checking passed.
% 4.35/2.84 % [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 ...
% 7.99/4.35 % External prover 'e' found a proof!
% 7.99/4.36 % [INFO] Killing All external provers ...
% 7.99/4.36 % Time passed: 3617ms (effective reasoning time: 2555ms)
% 7.99/4.36 % 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)>
% 7.99/4.36 % Axioms used in derivation (62): ord_v8_v32, ord_v300_v500, ord_v150_v600, axis_conflict_def, ord_v100_v150, ord_v100_v800, val_v100, ord_v8_v100, ord_v32_v300, ord_v32_v100, ord_v0_v800, val_v8, ord_v32_v600, ord_v0_v500, ord_v0_v32, leq_antisym, ord_v500_v800, val_v150, val_v600, ord_v150_v500, ord_v600_v800, ord_v8_v800, ord_v8_v150, ord_v100_v600, val_v300, ord_v100_v300, axis_subsumes_def, less_implies_leq, in_ropen, ord_v0_v150, leq_trans, leq_less_trans, ord_v100_v500, ord_v300_v800, val_v0, ord_v32_v150, val_v32, ord_v8_v300, irreflexive, in_closed, in_lopen, ord_v8_v500, distinct, ord_v8_v600, ord_v500_v600, less_leq_trans, ord_v300_v600, ord_v32_v500, axis_compatible_def, trichotomy, transitive, ord_v150_v300, ord_v0_v100, val_v500, ord_v0_v300, ord_v0_v600, ord_v150_v800, ord_v0_v8, in_open, val_v800, ord_v32_v800, leq_def
% 7.99/4.36 % No. of inferences in proof: 128
% 7.99/4.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3617 ms resp. 2555 ms w/o parsing
% 8.73/4.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.73/4.51 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------