%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT094+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 : n013.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 08:00:54 AM UTC 2026
% Result : Theorem 5.29s 3.10s
% Output : Refutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 80
% Syntax : Number of formulae : 162 ( 104 unt; 0 typ; 0 def)
% Number of atoms : 392 ( 156 equ; 0 cnn)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 941 ( 85 ~; 31 |; 134 &; 626 @)
% ( 8 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 14 con; 0-6 aty)
% Number of variables : 187 ( 0 ^; 181 !; 6 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(subs_verdict_decl,type,
subs_verdict: $i > $i > $i > $i > $i > $i > $i ).
thf(v0_decl,type,
v0: $i ).
thf(v800_decl,type,
v800: $i ).
thf(present_decl,type,
present: $i ).
thf(v600_decl,type,
v600: $i ).
thf(conflict_decl,type,
conflict: $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_conflict_decl,type,
axis_conflict: $i > $i > $i > $i > $o ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(val_decl,type,
val: $i > $o ).
thf(v400_decl,type,
v400: $i ).
thf(is_verdict_decl,type,
is_verdict: $i > $o ).
thf(compatible_decl,type,
compatible: $i ).
thf(box_verdict_decl,type,
box_verdict: $i > $i > $i ).
thf(v16_decl,type,
v16: $i ).
thf(v300_decl,type,
v300: $i ).
thf(in_lopen_decl,type,
in_lopen: $i > $i > $i > $o ).
thf(axis_subsumes_decl,type,
axis_subsumes: $i > $i > $i > $i > $o ).
thf(v150_decl,type,
v150: $i ).
thf(unknown_decl,type,
unknown: $i ).
thf(in_ropen_decl,type,
in_ropen: $i > $i > $i > $o ).
thf(v32_decl,type,
v32: $i ).
thf(box_subs_decl,type,
box_subs: $i > $i > $i ).
thf(is_presence_decl,type,
is_presence: $i > $o ).
thf(absent_decl,type,
absent: $i ).
thf(in_open_decl,type,
in_open: $i > $i > $i > $o ).
thf(18,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(142,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(72,axiom,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ( ( B = unknown )
| ( A = unknown ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= unknown ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_unknown) ).
thf(320,plain,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ( ( B = unknown )
| ( A = unknown ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= unknown ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(70,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( absent @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_c2_absent) ).
thf(316,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( absent @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(48,axiom,
v600 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
thf(205,plain,
v600 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(66,axiom,
present != absent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',presence_distinct) ).
thf(310,plain,
present != absent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(68,axiom,
present @ is_presence,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',present_is_presence) ).
thf(314,plain,
present @ is_presence,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(75,axiom,
v800 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v800) ).
thf(332,plain,
v800 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(16,axiom,
v150 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v150) ).
thf(138,plain,
v150 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(76,axiom,
v800 @ ( v600 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
thf(333,plain,
v800 @ ( v600 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_subs_conflict) ).
thf(234,plain,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(33,axiom,
v300 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v300) ).
thf(170,plain,
v300 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_compatible) ).
thf(115,plain,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ is_verdict )
=> ( ( A = unknown )
| ( A = compatible )
| ( A = conflict ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdict_enum) ).
thf(217,plain,
! [A: $i] :
( ( A @ is_verdict )
=> ( ( A = unknown )
| ( A = compatible )
| ( A = conflict ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
=> ( B @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(45,axiom,
v16 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v16) ).
thf(202,plain,
v16 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(37,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(184,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)],[37]) ).
thf(81,axiom,
v600 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v600) ).
thf(344,plain,
v600 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(24,axiom,
v400 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v400) ).
thf(157,plain,
v400 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_subs ) )
= unknown )
| ( ( B @ ( A @ box_subs ) )
= conflict )
| ( ( B @ ( A @ box_subs ) )
= compatible ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_subs_total) ).
thf(211,plain,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_subs ) )
= unknown )
| ( ( B @ ( A @ box_subs ) )
= conflict )
| ( ( B @ ( A @ box_subs ) )
= compatible ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
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(84,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(20,axiom,
v400 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v400) ).
thf(147,plain,
v400 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(49,axiom,
~ ( v600 @ ( v0 @ ( v800 @ ( v0 @ axis_subsumes ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_subs_hint) ).
thf(206,plain,
~ ( v600 @ ( v0 @ ( v800 @ ( v0 @ axis_subsumes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(44,axiom,
conflict @ is_verdict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(201,plain,
conflict @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ~ ( ( B = compatible )
& ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= unknown ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_subs_unknown) ).
thf(220,plain,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ~ ( ( B = compatible )
& ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= unknown ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(6,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(102,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(77,axiom,
v800 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v800) ).
thf(334,plain,
v800 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(26,axiom,
unknown @ is_verdict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(160,plain,
unknown @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(39,axiom,
v400 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v400) ).
thf(192,plain,
v400 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(28,axiom,
v300 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v300) ).
thf(165,plain,
v300 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(58,axiom,
v800 @ ( v400 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
thf(229,plain,
v800 @ ( v400 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(65,axiom,
( ( v600 != v800 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v300 != v800 )
& ( v300 != v600 )
& ( v300 != v400 )
& ( v150 != v800 )
& ( v150 != v600 )
& ( v150 != v400 )
& ( v150 != v300 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v400 )
& ( v32 != v300 )
& ( v32 != v150 )
& ( v16 != v800 )
& ( v16 != v600 )
& ( v16 != v400 )
& ( v16 != v300 )
& ( v16 != v150 )
& ( v16 != v32 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v400 )
& ( v0 != v300 )
& ( v0 != v150 )
& ( v0 != v32 )
& ( v0 != v16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
thf(252,plain,
( ( v600 != v800 )
& ( v400 != v800 )
& ( v400 != v600 )
& ( v300 != v800 )
& ( v300 != v600 )
& ( v300 != v400 )
& ( v150 != v800 )
& ( v150 != v600 )
& ( v150 != v400 )
& ( v150 != v300 )
& ( v32 != v800 )
& ( v32 != v600 )
& ( v32 != v400 )
& ( v32 != v300 )
& ( v32 != v150 )
& ( v16 != v800 )
& ( v16 != v600 )
& ( v16 != v400 )
& ( v16 != v300 )
& ( v16 != v150 )
& ( v16 != v32 )
& ( v0 != v800 )
& ( v0 != v600 )
& ( v0 != v400 )
& ( v0 != v300 )
& ( v0 != v150 )
& ( v0 != v32 )
& ( v0 != v16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(42,axiom,
v600 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v600) ).
thf(197,plain,
v600 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(74,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
=> ( ( present @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_present_yes) ).
thf(329,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
=> ( ( present @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(23,axiom,
v32 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v32) ).
thf(156,plain,
v32 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(32,axiom,
v32 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v32) ).
thf(169,plain,
v32 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(73,axiom,
v0 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).
thf(328,plain,
v0 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(40,axiom,
v300 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v300) ).
thf(193,plain,
v300 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(29,axiom,
absent @ is_presence,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absent_is_presence) ).
thf(166,plain,
absent @ is_presence,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(21,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(148,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)],[21]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= compatible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_subs_compat) ).
thf(161,plain,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_subs ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(38,axiom,
v150 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v150) ).
thf(191,plain,
v150 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(47,axiom,
v600 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v600) ).
thf(204,plain,
v600 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(67,axiom,
v800 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v800) ).
thf(313,plain,
v800 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(19,axiom,
compatible != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(144,plain,
compatible != unknown,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_verdict ) )
= unknown )
| ( ( B @ ( A @ box_verdict ) )
= compatible )
| ( ( B @ ( A @ box_verdict ) )
= conflict ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_verdict_total) ).
thf(335,plain,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_verdict ) )
= unknown )
| ( ( B @ ( A @ box_verdict ) )
= compatible )
| ( ( B @ ( A @ box_verdict ) )
= conflict ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
thf(172,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)],[35]) ).
thf(59,axiom,
v150 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v150) ).
thf(230,plain,
v150 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(50,axiom,
v800 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v800) ).
thf(208,plain,
v800 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(4,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(91,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)],[4]) ).
thf(64,axiom,
v600 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v600) ).
thf(251,plain,
v600 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(22,axiom,
v300 @ ( v150 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v150_v300) ).
thf(155,plain,
v300 @ ( v150 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ is_presence )
=> ( ( A = absent )
| ( A = present ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',presence_enum) ).
thf(198,plain,
! [A: $i] :
( ( A @ is_presence )
=> ( ( A = absent )
| ( A = present ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(15,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(130,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)],[15]) ).
thf(57,axiom,
conflict != compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(226,plain,
conflict != compatible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(30,axiom,
v150 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v150) ).
thf(167,plain,
v150 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(51,axiom,
v32 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v32) ).
thf(209,plain,
v32 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(14,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(123,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)],[14]) ).
thf(41,axiom,
conflict != unknown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(194,plain,
conflict != unknown,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(36,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(182,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(79,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( absent @ ( D @ ( C @ ( absent @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_both_absent) ).
thf(338,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( absent @ ( D @ ( C @ ( absent @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).
thf(99,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(46,axiom,
v600 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).
thf(203,plain,
v600 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(7,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(104,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)],[7]) ).
thf(63,axiom,
v800 @ ( v300 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v300_v800) ).
thf(250,plain,
v800 @ ( v300 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ is_presence )
& ( C @ is_presence ) )
=> ( ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= conflict )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= compatible ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_verdict_total) ).
thf(231,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ is_presence )
& ( C @ is_presence ) )
=> ( ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= conflict )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= compatible ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(71,axiom,
v400 @ ( v0 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
thf(319,plain,
v400 @ ( v0 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(25,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(158,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,axiom,
v400 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v400) ).
thf(114,plain,
v400 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,axiom,
v400 @ ( v32 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v32_v400) ).
thf(171,plain,
v400 @ ( v32 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(17,axiom,
! [A: $i] :
~ ( A @ ( A @ less ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
thf(139,plain,
! [A: $i] :
~ ( A @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
compatible @ is_verdict,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(119,plain,
compatible @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
( ( present @ ( v600 @ ( v0 @ ( present @ ( v800 @ ( v0 @ subs_verdict ) ) ) ) ) )
= conflict ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl653) ).
thf(2,negated_conjecture,
( ( present @ ( v600 @ ( v0 @ ( present @ ( v800 @ ( v0 @ subs_verdict ) ) ) ) ) )
!= conflict ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(82,plain,
( ( present @ ( v600 @ ( v0 @ ( present @ ( v800 @ ( v0 @ subs_verdict ) ) ) ) ) )
!= conflict ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( present @ ( D @ ( C @ ( absent @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_c1_absent) ).
thf(214,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( present @ ( D @ ( C @ ( absent @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= unknown ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(69,axiom,
v600 @ ( v400 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v600) ).
thf(315,plain,
v600 @ ( v400 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(31,axiom,
v16 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v16) ).
thf(168,plain,
v16 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(52,axiom,
v800 @ val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v800) ).
thf(210,plain,
v800 @ val,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',box_conflict) ).
thf(242,plain,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(80,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
=> ( ( present @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= conflict ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subs_present_no) ).
thf(341,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
=> ( ( present @ ( D @ ( C @ ( present @ ( B @ ( A @ subs_verdict ) ) ) ) ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).
thf(111,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ less ) )
| ( A = B )
| ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
v300 @ ( v16 @ less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v300) ).
thf(122,plain,
v300 @ ( v16 @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(345,plain,
$false,
inference(e,[status(thm)],[142,320,316,205,310,314,332,138,333,234,170,115,217,120,202,184,344,157,211,84,147,206,201,220,102,334,160,192,165,229,252,197,329,156,169,328,193,166,148,161,191,204,313,144,335,172,230,208,91,251,155,198,130,226,167,209,123,194,182,338,99,203,104,250,231,319,158,114,171,139,119,82,214,315,168,210,242,341,111,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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
% 0.12/0.40 % Computer : n013.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sat Sep 26 00:12:36 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.84/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.23 % [INFO] Parsing done (251ms).
% 1.37/1.24 % [INFO] Running in sequential loop mode.
% 2.09/1.65 % [INFO] eprover registered as external prover.
% 2.09/1.65 % [INFO] Scanning for conjecture ...
% 2.28/1.76 % [INFO] Found a conjecture (or negated_conjecture) and 79 axioms. Running axiom selection ...
% 2.46/1.85 % [INFO] Axiom selection finished. Selected 79 axioms (removed 0 axioms).
% 2.66/1.95 % [INFO] Problem is first-order (TPTP FOF).
% 2.66/1.97 % [INFO] Type checking passed.
% 2.66/1.97 % [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 ...
% 5.29/3.10 % External prover 'e' found a proof!
% 5.29/3.10 % [INFO] Killing All external provers ...
% 5.29/3.10 % Time passed: 2554ms (effective reasoning time: 1847ms)
% 5.29/3.10 % 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)>
% 5.29/3.10 % Axioms used in derivation (79): subs_c2_absent, compatible_is_verdict, ord_v32_v400, ord_v300_v400, ord_v150_v400, ord_v32_v300, ord_v0_v800, ord_v32_v600, ord_v16_v400, ord_v0_v400, subs_both_absent, subs_verdict_total, ord_v0_v32, verdicts_distinct_cf_cp, box_subs_unknown, leq_antisym, presence_enum, val_v150, box_conflict, ord_v400_v800, conflict_is_verdict, ord_v16_v300, verdicts_distinct_cp_un, val_v600, ord_v600_v800, val_v16, verdicts_distinct_cf_un, ord_v150_v600, subs_present_no, no_subs_hint, box_verdict_total, val_v300, axis_subsumes_def, less_implies_leq, in_ropen, ord_v0_v150, unknown_is_verdict, leq_trans, leq_less_trans, ord_v300_v800, ord_v16_v600, val_v0, ord_v0_v16, axis_conflict_def, ord_v32_v150, val_v32, irreflexive, present_is_presence, presence_distinct, box_subs_conflict, val_v400, subs_c1_absent, in_closed, in_lopen, distinct, ord_v16_v32, less_leq_trans, ord_v300_v600, ord_v16_v800, box_subs_total, ord_v16_v150, axis_compatible_def, subs_present_yes, trichotomy, ord_v400_v600, transitive, ord_v150_v300, in_open, ord_v0_v300, ord_v0_v600, ord_v150_v800, box_subs_compat, box_compatible, verdict_enum, val_v800, box_unknown, ord_v32_v800, absent_is_presence, leq_def
% 5.29/3.10 % No. of inferences in proof: 162
% 5.29/3.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2554 ms resp. 1847 ms w/o parsing
% 5.74/3.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.74/3.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------