%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PRO009+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n012.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 08:20:33 AM UTC 2026
% Result : Theorem 87.13s 21.33s
% Output : Refutation 85.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 68
% Syntax : Number of formulae : 1207 ( 316 unt; 0 typ; 19 def)
% Number of atoms : 4002 ( 920 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 11770 (1678 ~;1361 |; 252 &;8376 @)
% ( 7 <=>; 96 =>; 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 : 44 ( 41 usr; 8 con; 0-4 aty)
% Number of variables : 1432 ( 39 ^;1297 !; 77 ?;1432 :)
% ( 0 !>; 0 ?*; 0 @-; 19 @+)
% Comments :
%------------------------------------------------------------------------------
thf(occurrence_of_decl,type,
occurrence_of: $i > $i > $o ).
thf(tptp0_decl,type,
tptp0: $i ).
thf(tptp3_decl,type,
tptp3: $i ).
thf(root_occ_decl,type,
root_occ: $i > $i > $o ).
thf(tptp2_decl,type,
tptp2: $i ).
thf(tptp1_decl,type,
tptp1: $i ).
thf(min_precedes_decl,type,
min_precedes: $i > $i > $i > $o ).
thf(leaf_occ_decl,type,
leaf_occ: $i > $i > $o ).
thf(legal_decl,type,
legal: $i > $o ).
thf(earlier_decl,type,
earlier: $i > $i > $o ).
thf(root_decl,type,
root: $i > $i > $o ).
thf(subactivity_decl,type,
subactivity: $i > $i > $o ).
thf(atocc_decl,type,
atocc: $i > $i > $o ).
thf(atomic_decl,type,
atomic: $i > $o ).
thf(tptp4_decl,type,
tptp4: $i ).
thf(subactivity_occurrence_decl,type,
subactivity_occurrence: $i > $i > $o ).
thf(precedes_decl,type,
precedes: $i > $i > $o ).
thf(activity_occurrence_decl,type,
activity_occurrence: $i > $o ).
thf(arboreal_decl,type,
arboreal: $i > $o ).
thf(activity_decl,type,
activity: $i > $o ).
thf(leaf_decl,type,
leaf: $i > $i > $o ).
thf(next_subocc_decl,type,
next_subocc: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i > $i > $i ).
thf(sk4_decl,type,
sk4: $i > $i > $i ).
thf(sk5_decl,type,
sk5: $i > $i > $i ).
thf(sk6_decl,type,
sk6: $i > $i > $i ).
thf(sk7_decl,type,
sk7: $i > $i > $i > $i ).
thf(sk8_decl,type,
sk8: $i > $i > $i > $i > $i ).
thf(sk9_decl,type,
sk9: $i > $i > $i > $i ).
thf(sk10_decl,type,
sk10: $i > $i ).
thf(sk11_decl,type,
sk11: $i > $i ).
thf(sk12_decl,type,
sk12: $i > $i ).
thf(sk13_decl,type,
sk13: $i > $i > $i ).
thf(sk14_decl,type,
sk14: $i > $i > $i > $i ).
thf(sk15_decl,type,
sk15: $i > $i > $i > $i ).
thf(sk16_decl,type,
sk16: $i > $i > $i > $i ).
thf(sk17_decl,type,
sk17: $i > $i > $i ).
thf(sk18_decl,type,
sk18: $i > $i > $i ).
thf(sk19_decl,type,
sk19: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i] :
( ? [C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( A @ atocc ) )
& ( B @ ( C @ subactivity ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( A @ subactivity_occurrence ) )
& ( B @ ( C @ occurrence_of ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( B @ leaf ) )
& ( A @ ( B @ subactivity_occurrence ) )
& ( C @ ( A @ occurrence_of ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( B @ root ) )
& ( A @ ( B @ subactivity_occurrence ) )
& ( C @ ( A @ occurrence_of ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( A @ ( C @ subactivity_occurrence ) )
& ( B @ ( C @ root ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( A @ ( B @ ( D @ min_precedes ) ) )
& ( A @ ( D @ ( C @ min_precedes ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: $i] :
( ~ ( B @ ( E @ subactivity_occurrence ) )
& ( A @ ( E @ subactivity_occurrence ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( A @ ( B @ ( D @ min_precedes ) ) )
& ( A @ ( D @ root ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( ^ [A: $i] :
@+[B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( D @ leaf_occ ) )
& ( tptp0 @ ( D @ ( C @ next_subocc ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) ) )
& ( tptp0 @ ( C @ ( B @ next_subocc ) ) )
& ( tptp4 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: $i] :
@+[B: $i] :
( ? [C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ next_subocc ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) ) )
& ( tptp0 @ ( B @ ( A @ sk10 @ next_subocc ) ) )
& ( tptp4 @ ( B @ occurrence_of ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: $i] :
@+[B: $i] :
( ( A @ ( B @ leaf_occ ) )
& ( tptp0 @ ( B @ ( A @ sk11 @ next_subocc ) ) )
& ( ( tptp1 @ ( B @ occurrence_of ) )
| ( tptp2 @ ( B @ occurrence_of ) ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( B @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( A @ subactivity ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( D @ ( A @ subactivity_occurrence ) )
& ( D @ ( B @ subactivity_occurrence ) )
& ( C @ ( D @ occurrence_of ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ? [E: $i] :
( ( E @ ( A @ atocc ) )
& ( D @ ( B @ atocc ) )
& ( C @ ( E @ subactivity ) ) )
& ( C @ ( D @ subactivity ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( D @ ( A @ atocc ) )
& ( C @ ( B @ ( A @ sk15 ) ) @ ( B @ atocc ) )
& ( C @ ( D @ subactivity ) ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ min_precedes ) ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( C @ ( B @ min_precedes ) ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ ( A @ occurrence_of ) )
& ( B @ activity ) ) ) ) ).
thf(1,conjecture,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(51,plain,
~ ! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(52,plain,
~ ! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i] :
( ? [C: $i] :
( ( A @ ( C @ leaf_occ ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(miniscope,[status(thm)],[51]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( ~ ( sk1 @ ( B @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) )
& ( ~ ( sk1 @ ( B @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp2 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) )
& ( tptp0 @ ( sk1 @ occurrence_of ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(54,plain,
tptp0 @ ( sk1 @ occurrence_of ),
inference(cnfConj,[status(thm)],[53]) ).
thf(27,axiom,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i,D: $i] :
( ( A @ ( D @ leaf_occ ) )
& ( tptp0 @ ( D @ ( C @ next_subocc ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) )
& ( tptp0 @ ( C @ ( B @ next_subocc ) ) )
& ( tptp4 @ ( C @ occurrence_of ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
thf(146,plain,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i,D: $i] :
( ( A @ ( D @ leaf_occ ) )
& ( tptp0 @ ( D @ ( C @ next_subocc ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) )
& ( tptp0 @ ( C @ ( B @ next_subocc ) ) )
& ( tptp4 @ ( C @ occurrence_of ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(147,plain,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( D @ leaf_occ ) )
& ( tptp0 @ ( D @ ( C @ next_subocc ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) ) )
& ( tptp0 @ ( C @ ( B @ next_subocc ) ) )
& ( tptp4 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(miniscope,[status(thm)],[146]) ).
thf(148,plain,
! [A: $i] :
( ( ( A @ ( A @ sk12 @ leaf_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp0 @ ( A @ sk12 @ ( A @ sk11 @ next_subocc ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp0 @ ( A @ sk11 @ ( A @ sk10 @ next_subocc ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( A @ ( A @ sk10 @ root_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[147]) ).
thf(153,plain,
! [A: $i] :
( ( tptp0 @ ( A @ sk12 @ ( A @ sk11 @ next_subocc ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(20078,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk12 @ ( A @ sk11 @ next_subocc ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,153]) ).
thf(20079,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk12 @ ( A @ sk11 @ next_subocc ) ) ) ),
inference(simp,[status(thm)],[20078]) ).
thf(20080,plain,
tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ next_subocc ) ),
inference(pattern_uni,[status(thm)],[20079:[bind(A,$thf( sk1 ))]]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
<=> ( ~ ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ ( A @ min_precedes ) ) ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
thf(126,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ~ ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ ( A @ min_precedes ) ) ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) )
=> ( C @ ( B @ ( A @ next_subocc ) ) ) )
& ( ( C @ ( B @ ( A @ next_subocc ) ) )
=> ( ~ ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ ( A @ min_precedes ) ) ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(127,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ~ ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ ( A @ min_precedes ) ) ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) )
=> ( C @ ( B @ ( A @ next_subocc ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
=> ( ~ ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ ( A @ min_precedes ) ) ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) ) ) ),
inference(miniscope,[status(thm)],[126]) ).
thf(128,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( G @ ( F @ ( E @ next_subocc ) ) )
| ( G @ ( F @ ( E @ ( F @ ( G @ sk7 ) ) @ min_precedes ) ) )
| ~ ( G @ ( F @ ( E @ min_precedes ) ) ) )
& ( ( G @ ( F @ ( E @ next_subocc ) ) )
| ( G @ ( E @ ( F @ ( G @ sk7 ) ) @ ( E @ min_precedes ) ) )
| ~ ( G @ ( F @ ( E @ min_precedes ) ) ) )
& ( ~ ( C @ ( B @ ( D @ min_precedes ) ) )
| ~ ( C @ ( D @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ next_subocc ) ) ) )
& ( ( C @ ( B @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ next_subocc ) ) ) ) ),
inference(cnf,[status(esa)],[127]) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ next_subocc ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(21265,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ next_subocc ) ) )
!= ( C @ ( B @ ( A @ next_subocc ) ) ) )
| ( C @ ( B @ ( A @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20080,129]) ).
thf(21266,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ next_subocc ) ) )
!= ( C @ ( B @ ( A @ next_subocc ) ) ) )
| ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[21265]) ).
thf(21267,plain,
tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[21266:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ min_precedes ) ) )
=> ? [D: $i] :
( ( D @ ( C @ subactivity_occurrence ) )
& ( D @ ( B @ subactivity_occurrence ) )
& ( A @ ( D @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
thf(177,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ min_precedes ) ) )
=> ? [D: $i] :
( ( D @ ( C @ subactivity_occurrence ) )
& ( D @ ( B @ subactivity_occurrence ) )
& ( A @ ( D @ occurrence_of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(178,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ) ),
inference(cnf,[status(esa)],[177]) ).
thf(179,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[178]) ).
thf(24780,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,179]) ).
thf(24781,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[24780]) ).
thf(24782,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[24781:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(154,plain,
! [A: $i] :
( ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(763,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,154]) ).
thf(764,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[763]) ).
thf(765,plain,
tptp4 @ ( sk1 @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[764:[bind(A,$thf( sk1 ))]]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ occurrence_of ) )
& ( B @ ( A @ occurrence_of ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ occurrence_of ) )
& ( B @ ( A @ occurrence_of ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnf,[status(esa)],[120]) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ occurrence_of ) )
| ( B = C ) ),
inference(lifteq,[status(thm)],[121]) ).
thf(9,axiom,
tptp4 @ atomic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
thf(72,plain,
tptp4 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(46,axiom,
~ ( tptp0 @ atomic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
thf(220,plain,
~ ( tptp0 @ atomic ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(221,plain,
~ ( tptp0 @ atomic ),
inference(polarity_switch,[status(thm)],[220]) ).
thf(251,plain,
( ( ( tptp4 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[72,221]) ).
thf(252,plain,
( ( tptp4 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[251]) ).
thf(257,plain,
tptp4 != tptp0,
inference(simp,[status(thm)],[252]) ).
thf(8680,plain,
! [C: $i,B: $i,A: $i] :
( ( B != tptp4 )
| ( C != tptp0 )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[122,257]) ).
thf(8681,plain,
! [B: $i,A: $i] :
( ( B != tptp0 )
| ~ ( B @ ( A @ occurrence_of ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[8680:[bind(A,$thf( A )),bind(B,$thf( tptp4 ))]]) ).
thf(10344,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[8681]) ).
thf(11398,plain,
! [A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[765,10344]) ).
thf(11399,plain,
! [A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11398]) ).
thf(11400,plain,
~ ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[11399:[bind(A,$thf( sk1 @ sk11 ))]]) ).
thf(25698,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,11400]) ).
thf(25699,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25698]) ).
thf(25912,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[25699]) ).
thf(25928,plain,
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[25912]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( D @ ( C @ subactivity_occurrence ) )
& ( B @ ( A @ subactivity ) )
& ( B @ ( D @ occurrence_of ) )
& ( A @ ( C @ occurrence_of ) ) )
=> ? [E: $i] :
( ~ ( C @ ( E @ subactivity_occurrence ) )
& ( D @ ( E @ subactivity_occurrence ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
thf(138,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( D @ ( C @ subactivity_occurrence ) )
& ( B @ ( A @ subactivity ) )
& ( B @ ( D @ occurrence_of ) )
& ( A @ ( C @ occurrence_of ) ) )
=> ? [E: $i] :
( ~ ( C @ ( E @ subactivity_occurrence ) )
& ( D @ ( E @ subactivity_occurrence ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ ( B @ root ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
thf(186,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ ( B @ root ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ root ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[186]) ).
thf(21437,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,187]) ).
thf(21438,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) ) ),
inference(simp,[status(thm)],[21437]) ).
thf(21439,plain,
~ ( tptp0 @ ( sk1 @ sk12 @ root ) ),
inference(pattern_uni,[status(thm)],[21438:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ~ ( A @ atomic )
& ( A @ ( B @ occurrence_of ) ) )
=> ? [C: $i] :
( ( B @ ( C @ subactivity_occurrence ) )
& ( A @ ( C @ root ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
thf(113,plain,
! [A: $i,B: $i] :
( ( ~ ( A @ atomic )
& ( A @ ( B @ occurrence_of ) ) )
=> ? [C: $i] :
( ( B @ ( C @ subactivity_occurrence ) )
& ( A @ ( C @ root ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(114,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ ( B @ sk6 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) )
& ( ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[113]) ).
thf(115,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[114]) ).
thf(4799,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,115]) ).
thf(4800,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[4799]) ).
thf(4801,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[4800:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(4869,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
| $false ),
inference(rewrite,[status(thm)],[4801,221]) ).
thf(4870,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ),
inference(simp,[status(thm)],[4869]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ~ ( A @ atomic )
& ( A @ ( B @ root ) ) )
=> ? [C: $i] :
( ( C @ ( B @ subactivity_occurrence ) )
& ( A @ ( C @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
thf(93,plain,
! [A: $i,B: $i] :
( ( ~ ( A @ atomic )
& ( A @ ( B @ root ) ) )
=> ? [C: $i] :
( ( C @ ( B @ subactivity_occurrence ) )
& ( A @ ( C @ occurrence_of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(94,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) )
& ( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ) ),
inference(cnf,[status(esa)],[93]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[94]) ).
thf(4905,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,95]) ).
thf(4906,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[4905]) ).
thf(4907,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[4906:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(8103,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
| $false ),
inference(rewrite,[status(thm)],[4907,221]) ).
thf(8104,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ),
inference(simp,[status(thm)],[8103]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ occurrence_of ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ occurrence_of ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( ( B @ activity_occurrence )
| ~ ( A @ ( B @ occurrence_of ) ) )
& ( ( A @ activity )
| ~ ( A @ ( B @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[169]) ).
thf(172,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[170]) ).
thf(1159,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[154,172]) ).
thf(1160,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1159]) ).
thf(1161,plain,
! [A: $i] :
( ( A @ sk11 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1160:[bind(A,$thf( D )),bind(B,$thf( tptp4 )),bind(C,$thf( D @ sk11 ))]]) ).
thf(1164,plain,
! [A: $i] :
( ( A @ sk11 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1161]) ).
thf(8112,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,1164]) ).
thf(8113,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[8112]) ).
thf(8114,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[8113:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ root ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
thf(142,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ? [D: $i] :
( ( C @ ( B @ ( D @ min_precedes ) ) )
& ( C @ ( D @ root ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(143,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) )
& ( ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ) ),
inference(cnf,[status(esa)],[142]) ).
thf(144,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[143]) ).
thf(21434,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,144]) ).
thf(21435,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) ) ),
inference(simp,[status(thm)],[21434]) ).
thf(21436,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ),
inference(pattern_uni,[status(thm)],[21435:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ root ) )
=> ( A @ legal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
thf(90,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ root ) )
=> ( A @ legal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(91,plain,
! [A: $i] :
( ? [B: $i] : ( B @ ( A @ root ) )
=> ( A @ legal ) ),
inference(miniscope,[status(thm)],[90]) ).
thf(92,plain,
! [B: $i,A: $i] :
( ( A @ legal )
| ~ ( B @ ( A @ root ) ) ),
inference(cnf,[status(esa)],[91]) ).
thf(25111,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21436,92]) ).
thf(25112,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[25111]) ).
thf(25113,plain,
sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ legal,
inference(pattern_uni,[status(thm)],[25112:[bind(A,$thf( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( tptp0 ))]]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ legal )
=> ( A @ arboreal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
thf(86,plain,
! [A: $i] :
( ( A @ legal )
=> ( A @ arboreal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(87,plain,
! [A: $i] :
( ( A @ arboreal )
| ~ ( A @ legal ) ),
inference(cnf,[status(esa)],[86]) ).
thf(25303,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25113,87]) ).
thf(25304,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[25303]) ).
thf(25305,plain,
sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ arboreal,
inference(pattern_uni,[status(thm)],[25304:[bind(A,$thf( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) ))]]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ occurrence_of ) )
=> ( ( A @ arboreal )
<=> ( B @ atomic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
thf(182,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ occurrence_of ) )
=> ( ( ( B @ atomic )
=> ( A @ arboreal ) )
& ( ( A @ arboreal )
=> ( B @ atomic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(183,plain,
! [B: $i,A: $i] :
( ( ( A @ arboreal )
| ~ ( B @ atomic )
| ~ ( B @ ( A @ occurrence_of ) ) )
& ( ( B @ atomic )
| ~ ( A @ arboreal )
| ~ ( B @ ( A @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[182]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ( B @ atomic )
| ~ ( A @ arboreal )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[183]) ).
thf(28523,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ( B @ atomic )
| ~ ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,184]) ).
thf(28524,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ( B @ atomic )
| ~ ( A @ arboreal ) ),
inference(simp,[status(thm)],[28523]) ).
thf(28525,plain,
( ( tptp0 @ atomic )
| ~ ( sk1 @ arboreal ) ),
inference(pattern_uni,[status(thm)],[28524:[bind(A,$thf( sk1 )),bind(B,$thf( tptp0 ))]]) ).
thf(29386,plain,
( $false
| ~ ( sk1 @ arboreal ) ),
inference(rewrite,[status(thm)],[28525,221]) ).
thf(29387,plain,
~ ( sk1 @ arboreal ),
inference(simp,[status(thm)],[29386]) ).
thf(29398,plain,
( ( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25305,29387]) ).
thf(29399,plain,
( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[29398]) ).
thf(29424,plain,
( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )
!= sk1 ),
inference(simp,[status(thm)],[29399]) ).
thf(11383,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[8104,10344]) ).
thf(11384,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11383]) ).
thf(11385,plain,
~ ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[11384:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ activity )
=> ( A @ ( A @ subactivity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
thf(88,plain,
! [A: $i] :
( ( A @ activity )
=> ( A @ ( A @ subactivity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9522,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ $true
| ( B = C ) ),
inference(paramod_ordered,[status(thm)],[54,122]) ).
thf(9523,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ( B = C ) ),
inference(simp,[status(thm)],[9522]) ).
thf(9524,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ occurrence_of ) )
| ( tptp0 = A ) ),
inference(pattern_uni,[status(thm)],[9523:[bind(A,$thf( sk1 )),bind(B,$thf( tptp0 ))]]) ).
thf(10588,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ occurrence_of ) )
| ( tptp0 = A ) ),
inference(simp,[status(thm)],[9524]) ).
thf(43,axiom,
tptp2 @ atomic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
thf(214,plain,
tptp2 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(253,plain,
( ( ( tptp2 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[214,221]) ).
thf(254,plain,
( ( tptp2 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[253]) ).
thf(258,plain,
tptp2 != tptp0,
inference(simp,[status(thm)],[254]) ).
thf(14667,plain,
! [A: $i] :
( ( A != tptp2 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,258]) ).
thf(14668,plain,
! [A: $i] :
( ( A != tptp2 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[14667]) ).
thf(14669,plain,
~ ( tptp2 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[14668:[bind(A,$thf( tptp2 ))]]) ).
thf(15525,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,14669]) ).
thf(15526,plain,
( ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15525:[bind(A,$thf( sk1 ))]]) ).
thf(149,plain,
! [A: $i] :
( ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(588,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,149]) ).
thf(589,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[588]) ).
thf(590,plain,
tptp3 @ ( sk1 @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[589:[bind(A,$thf( sk1 ))]]) ).
thf(1144,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[590,172]) ).
thf(1145,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1144]) ).
thf(1146,plain,
sk1 @ sk10 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1145:[bind(A,$thf( tptp3 )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(14243,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 ) )
| ( tptp0 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,1146]) ).
thf(14244,plain,
( ( tptp0 @ activity_occurrence )
| ~ ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14243:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(31778,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14244]) ).
thf(31779,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[31778]) ).
thf(31876,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[31779]) ).
thf(31885,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[31876]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ root ) )
=> ? [C: $i] :
( ( C @ ( B @ atocc ) )
& ( A @ ( C @ subactivity ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ root ) )
=> ? [C: $i] :
( ( C @ ( B @ atocc ) )
& ( A @ ( C @ subactivity ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(67,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ ( A @ ( B @ root ) ) )
& ( ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ ( A @ ( B @ root ) ) ) ),
inference(cnf,[status(esa)],[66]) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[67]) ).
thf(150,plain,
! [A: $i] :
( ( A @ ( A @ sk10 @ root_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(3693,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,150]) ).
thf(3694,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) ) ),
inference(simp,[status(thm)],[3693]) ).
thf(3695,plain,
sk1 @ ( sk1 @ sk10 @ root_occ ),
inference(pattern_uni,[status(thm)],[3694:[bind(A,$thf( sk1 ))]]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ root_occ ) )
<=> ? [C: $i] :
( ( C @ ( A @ root ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
thf(105,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( C @ ( A @ root ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) )
=> ( B @ ( A @ root_occ ) ) )
& ( ( B @ ( A @ root_occ ) )
=> ? [C: $i] :
( ( C @ ( A @ root ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(106,plain,
( ! [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ ( A @ root ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) )
=> ( B @ ( A @ root_occ ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ root_occ ) )
=> ? [C: $i] :
( ( C @ ( A @ root ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ) ),
inference(miniscope,[status(thm)],[105]) ).
thf(107,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ root_occ ) )
| ~ ( E @ ( C @ root ) )
| ~ ( D @ ( C @ subactivity_occurrence ) )
| ~ ( E @ ( D @ occurrence_of ) ) )
& ( ( A @ ( B @ sk5 ) @ ( A @ root ) )
| ~ ( B @ ( A @ root_occ ) ) )
& ( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ root_occ ) ) )
& ( ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ root_occ ) ) ) ),
inference(cnf,[status(esa)],[106]) ).
thf(110,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk5 ) @ ( A @ root ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[107]) ).
thf(4066,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk5 ) @ ( A @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3695,110]) ).
thf(4067,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk5 ) @ ( A @ root ) ) ),
inference(simp,[status(thm)],[4066]) ).
thf(4068,plain,
sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ),
inference(pattern_uni,[status(thm)],[4067:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 ))]]) ).
thf(4125,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4068,92]) ).
thf(4126,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[4125]) ).
thf(4127,plain,
sk1 @ sk10 @ legal,
inference(pattern_uni,[status(thm)],[4126:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) ))]]) ).
thf(4186,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4127,87]) ).
thf(4187,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[4186]) ).
thf(4188,plain,
sk1 @ sk10 @ arboreal,
inference(pattern_uni,[status(thm)],[4187:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(152,plain,
! [A: $i] :
( ( tptp0 @ ( A @ sk11 @ ( A @ sk10 @ next_subocc ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(19770,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk11 @ ( A @ sk10 @ next_subocc ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,152]) ).
thf(19771,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk11 @ ( A @ sk10 @ next_subocc ) ) ) ),
inference(simp,[status(thm)],[19770]) ).
thf(19772,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ next_subocc ) ),
inference(pattern_uni,[status(thm)],[19771:[bind(A,$thf( sk1 ))]]) ).
thf(19943,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ next_subocc ) ) )
!= ( C @ ( B @ ( A @ next_subocc ) ) ) )
| ( C @ ( B @ ( A @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19772,129]) ).
thf(19944,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ next_subocc ) ) )
!= ( C @ ( B @ ( A @ next_subocc ) ) ) )
| ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[19943]) ).
thf(19945,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[19944:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leaf ) )
<=> ( ~ ? [C: $i] : ( B @ ( C @ ( A @ min_precedes ) ) )
& ( ? [C: $i] : ( B @ ( A @ ( C @ min_precedes ) ) )
| ( B @ ( A @ root ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
thf(198,plain,
! [A: $i,B: $i] :
( ( ( ~ ? [C: $i] : ( B @ ( C @ ( A @ min_precedes ) ) )
& ( ? [C: $i] : ( B @ ( A @ ( C @ min_precedes ) ) )
| ( B @ ( A @ root ) ) ) )
=> ( B @ ( A @ leaf ) ) )
& ( ( B @ ( A @ leaf ) )
=> ( ~ ? [C: $i] : ( B @ ( C @ ( A @ min_precedes ) ) )
& ( ? [C: $i] : ( B @ ( A @ ( C @ min_precedes ) ) )
| ( B @ ( A @ root ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(199,plain,
( ! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( B @ ( C @ ( A @ min_precedes ) ) )
& ( ? [C: $i] : ( B @ ( A @ ( C @ min_precedes ) ) )
| ( B @ ( A @ root ) ) ) )
=> ( B @ ( A @ leaf ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ leaf ) )
=> ( ~ ? [C: $i] : ( B @ ( C @ ( A @ min_precedes ) ) )
& ( ? [C: $i] : ( B @ ( A @ ( C @ min_precedes ) ) )
| ( B @ ( A @ root ) ) ) ) ) ),
inference(miniscope,[status(thm)],[198]) ).
thf(200,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ leaf ) )
| ( E @ ( D @ ( E @ sk18 ) @ ( D @ min_precedes ) ) )
| ~ ( E @ ( D @ ( F @ min_precedes ) ) ) )
& ( ( E @ ( D @ leaf ) )
| ( E @ ( D @ ( E @ sk18 ) @ ( D @ min_precedes ) ) )
| ~ ( E @ ( D @ root ) ) )
& ( ~ ( B @ ( C @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ leaf ) ) )
& ( ( B @ ( A @ ( A @ ( B @ sk17 ) @ min_precedes ) ) )
| ( B @ ( A @ root ) )
| ~ ( B @ ( A @ leaf ) ) ) ),
inference(cnf,[status(esa)],[199]) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(cnfConj,[status(thm)],[200]) ).
thf(20254,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ $true
| ~ ( B @ ( A @ leaf ) ) ),
inference(paramod_ordered,[status(thm)],[19945,202]) ).
thf(20255,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(simp,[status(thm)],[20254]) ).
thf(20256,plain,
~ ( tptp0 @ ( sk1 @ sk10 @ leaf ) ),
inference(pattern_uni,[status(thm)],[20255:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( tptp0 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(13574,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk10 @ arboreal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,4188]) ).
thf(13575,plain,
( ( tptp0 @ sk10 @ arboreal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[13574:[bind(A,$thf( sk1 ))]]) ).
thf(24632,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,13575]) ).
thf(24633,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ arboreal ) ),
inference(simp,[status(thm)],[24632]) ).
thf(24700,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ sk10 @ arboreal ) ),
inference(simp,[status(thm)],[24633]) ).
thf(24730,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ sk10 @ arboreal ) ),
inference(simp,[status(thm)],[24700]) ).
thf(25885,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[24782,10344]) ).
thf(25886,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25885]) ).
thf(25887,plain,
~ ( tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[25886:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leaf_occ ) )
<=> ? [C: $i] :
( ( C @ ( A @ leaf ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
thf(97,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( C @ ( A @ leaf ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) )
=> ( B @ ( A @ leaf_occ ) ) )
& ( ( B @ ( A @ leaf_occ ) )
=> ? [C: $i] :
( ( C @ ( A @ leaf ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(98,plain,
( ! [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ ( A @ leaf ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) )
=> ( B @ ( A @ leaf_occ ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ leaf_occ ) )
=> ? [C: $i] :
( ( C @ ( A @ leaf ) )
& ( B @ ( A @ subactivity_occurrence ) )
& ( C @ ( B @ occurrence_of ) ) ) ) ),
inference(miniscope,[status(thm)],[97]) ).
thf(99,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ leaf_occ ) )
| ~ ( E @ ( C @ leaf ) )
| ~ ( D @ ( C @ subactivity_occurrence ) )
| ~ ( E @ ( D @ occurrence_of ) ) )
& ( ( A @ ( B @ sk4 ) @ ( A @ leaf ) )
| ~ ( B @ ( A @ leaf_occ ) ) )
& ( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ leaf_occ ) ) )
& ( ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ leaf_occ ) ) ) ),
inference(cnf,[status(esa)],[98]) ).
thf(101,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(1138,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[149,172]) ).
thf(1139,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1138]) ).
thf(1140,plain,
! [A: $i] :
( ( A @ sk10 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1139:[bind(A,$thf( D )),bind(B,$thf( tptp3 )),bind(C,$thf( D @ sk10 ))]]) ).
thf(1162,plain,
! [A: $i] :
( ( A @ sk10 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1140]) ).
thf(8127,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,1162]) ).
thf(8128,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[8127]) ).
thf(8129,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[8128:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(45,axiom,
tptp1 @ atomic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
thf(219,plain,
tptp1 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ atomic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
thf(207,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ atomic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(208,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ atomic )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[207]) ).
thf(681,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[219,208]) ).
thf(682,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[681]) ).
thf(683,plain,
! [B: $i,A: $i] :
~ ( tptp1 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[682:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp1 ))]]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ activity_occurrence )
=> ? [B: $i] :
( ( B @ ( A @ occurrence_of ) )
& ( B @ activity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
thf(215,plain,
! [A: $i] :
( ( A @ activity_occurrence )
=> ? [B: $i] :
( ( B @ ( A @ occurrence_of ) )
& ( B @ activity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(216,plain,
! [A: $i] :
( ( ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ ( A @ activity_occurrence ) )
& ( ( A @ sk19 @ activity )
| ~ ( A @ activity_occurrence ) ) ),
inference(cnf,[status(esa)],[215]) ).
thf(217,plain,
! [A: $i] :
( ( A @ sk19 @ activity )
| ~ ( A @ activity_occurrence ) ),
inference(cnfConj,[status(thm)],[216]) ).
thf(24804,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,179]) ).
thf(24805,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[24804]) ).
thf(24806,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[24805:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(26560,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,149]) ).
thf(26561,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26560]) ).
thf(26562,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26561:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(29396,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp0 @ arboreal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,29387]) ).
thf(29397,plain,
( ~ ( tptp0 @ arboreal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[29396:[bind(A,$thf( sk1 ))]]) ).
thf(29727,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp0 @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,29397]) ).
thf(29728,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[29727]) ).
thf(29845,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[29728]) ).
thf(29851,plain,
( ( sk1 != tptp0 )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[29845]) ).
thf(29867,plain,
( ( ( tptp0 @ sk10 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[24730,29851]) ).
thf(29868,plain,
( ( ( tptp0 @ sk10 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29867]) ).
thf(29920,plain,
( ( ( tptp0 @ sk10 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29868]) ).
thf(218,plain,
! [A: $i] :
( ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ ( A @ activity_occurrence ) ),
inference(cnfConj,[status(thm)],[216]) ).
thf(1786,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1146,218]) ).
thf(1787,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1786]) ).
thf(1788,plain,
sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1787:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(1913,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1788,1164]) ).
thf(1914,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1913]) ).
thf(1960,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk10 )
!= A )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1914]) ).
thf(1971,plain,
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( sk1 @ sk10 @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1960]) ).
thf(32,axiom,
tptp3 @ atomic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
thf(173,plain,
tptp3 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(675,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[173,208]) ).
thf(676,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[675]) ).
thf(677,plain,
! [B: $i,A: $i] :
~ ( tptp3 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[676:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp3 ))]]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[67]) ).
thf(4161,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4068,68]) ).
thf(4162,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) ) ),
inference(simp,[status(thm)],[4161]) ).
thf(4163,plain,
sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ sk2 ) @ subactivity ),
inference(pattern_uni,[status(thm)],[4162:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(108,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[107]) ).
thf(3922,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3695,108]) ).
thf(3923,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[3922]) ).
thf(3924,plain,
sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[3923:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 ))]]) ).
thf(14862,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ~ $true
| ( tptp0 = A ) ),
inference(paramod_ordered,[status(thm)],[3924,10588]) ).
thf(14863,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 = A ) ),
inference(simp,[status(thm)],[14862]) ).
thf(14864,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk5 ) )
= tptp0 ),
inference(pattern_uni,[status(thm)],[14863:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) ))]]) ).
thf(15671,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ subactivity ),
inference(rewrite,[status(thm)],[4163,14864]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk6 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[114]) ).
thf(5121,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ ( A @ ( B @ sk6 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,116]) ).
thf(5122,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ ( A @ ( B @ sk6 ) @ subactivity_occurrence ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[5121]) ).
thf(5123,plain,
( ( sk1 @ ( tptp0 @ ( sk1 @ sk6 ) @ subactivity_occurrence ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[5122:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(5226,plain,
( ( sk1 @ ( tptp0 @ ( sk1 @ sk6 ) @ subactivity_occurrence ) )
| $false ),
inference(rewrite,[status(thm)],[5123,221]) ).
thf(5227,plain,
sk1 @ ( tptp0 @ ( sk1 @ sk6 ) @ subactivity_occurrence ),
inference(simp,[status(thm)],[5226]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity_occurrence ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity_occurrence ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( ( B @ activity_occurrence )
| ~ ( B @ ( A @ subactivity_occurrence ) ) )
& ( ( A @ activity_occurrence )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ) ),
inference(cnf,[status(esa)],[82]) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(cnfConj,[status(thm)],[83]) ).
thf(5228,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( tptp0 @ ( sk1 @ sk6 ) @ subactivity_occurrence ) )
!= ( B @ ( A @ subactivity_occurrence ) ) )
| ( A @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5227,84]) ).
thf(5229,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( tptp0 @ ( sk1 @ sk6 ) @ subactivity_occurrence ) )
!= ( B @ ( A @ subactivity_occurrence ) ) )
| ( A @ activity_occurrence ) ),
inference(simp,[status(thm)],[5228]) ).
thf(5230,plain,
tptp0 @ ( sk1 @ sk6 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[5229:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) )),bind(B,$thf( sk1 ))]]) ).
thf(5269,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5230,217]) ).
thf(5270,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[5269]) ).
thf(5271,plain,
tptp0 @ ( sk1 @ sk6 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[5270:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(89,plain,
! [A: $i] :
( ( A @ ( A @ subactivity ) )
| ~ ( A @ activity ) ),
inference(cnf,[status(esa)],[88]) ).
thf(5290,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5271,89]) ).
thf(5291,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[5290]) ).
thf(5292,plain,
tptp0 @ ( sk1 @ sk6 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[5291:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) @ sk19 ))]]) ).
thf(15670,plain,
tptp0 @ ( sk1 @ sk10 @ root ),
inference(rewrite,[status(thm)],[4068,14864]) ).
thf(15791,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15670,95]) ).
thf(15792,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[15791]) ).
thf(15793,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[15792:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(17390,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
| $false ),
inference(rewrite,[status(thm)],[15793,221]) ).
thf(17391,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ),
inference(simp,[status(thm)],[17390]) ).
thf(17394,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,115]) ).
thf(17395,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk6 ) @ root ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[17394]) ).
thf(17396,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[17395:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(42001,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
| $false ),
inference(rewrite,[status(thm)],[17396,221]) ).
thf(42002,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ),
inference(simp,[status(thm)],[42001]) ).
thf(42011,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42002,92]) ).
thf(42012,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[42011]) ).
thf(42013,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ legal,
inference(pattern_uni,[status(thm)],[42012:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )),bind(B,$thf( tptp0 ))]]) ).
thf(29404,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true
| ~ ( A @ legal ) ),
inference(paramod_ordered,[status(thm)],[87,29387]) ).
thf(29405,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ ( A @ legal ) ),
inference(simp,[status(thm)],[29404]) ).
thf(29406,plain,
~ ( sk1 @ legal ),
inference(pattern_uni,[status(thm)],[29405:[bind(A,$thf( sk1 ))]]) ).
thf(42215,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ legal )
!= ( sk1 @ legal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42013,29406]) ).
thf(42216,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ legal )
!= ( sk1 @ legal ) ),
inference(simp,[status(thm)],[42215]) ).
thf(42272,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )
!= sk1 ),
inference(simp,[status(thm)],[42216]) ).
thf(13572,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 ) )
| ( tptp0 @ arboreal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,4188]) ).
thf(13573,plain,
( ( tptp0 @ arboreal )
| ~ ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[13572:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(23550,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,13573]) ).
thf(23551,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[23550]) ).
thf(23631,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[23551]) ).
thf(23660,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[23631]) ).
thf(1150,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[765,172]) ).
thf(1151,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1150]) ).
thf(1152,plain,
sk1 @ sk11 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1151:[bind(A,$thf( tptp4 )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(1273,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1152,217]) ).
thf(1274,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1273]) ).
thf(1275,plain,
sk1 @ sk11 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1274:[bind(A,$thf( sk1 @ sk11 ))]]) ).
thf(17554,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[17391,10344]) ).
thf(17555,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17554]) ).
thf(17556,plain,
~ ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[17555:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(1153,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,172]) ).
thf(1154,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1153]) ).
thf(1155,plain,
sk1 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1154:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(1781,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1155,218]) ).
thf(1782,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1781]) ).
thf(1783,plain,
sk1 @ sk19 @ ( sk1 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1782:[bind(A,$thf( sk1 ))]]) ).
thf(11418,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[54,10344]) ).
thf(11419,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11418]) ).
thf(11420,plain,
~ ( tptp4 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[11419:[bind(A,$thf( sk1 ))]]) ).
thf(11626,plain,
( ( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1783,11420]) ).
thf(11627,plain,
( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11626]) ).
thf(11723,plain,
( ( ( sk1 @ sk19 )
!= tptp4 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[11627]) ).
thf(11733,plain,
( ( sk1 @ sk19 )
!= tptp4 ),
inference(simp,[status(thm)],[11723]) ).
thf(14346,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( tptp0 @ sk19 )
!= tptp4 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,11733]) ).
thf(14347,plain,
( ( ( tptp0 @ sk19 )
!= tptp4 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14346:[bind(A,$thf( sk1 ))]]) ).
thf(56,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ ( B @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[53]) ).
thf(26715,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[24806,10344]) ).
thf(26716,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ~ ( tptp4 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26715]) ).
thf(26717,plain,
~ ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[26716:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(249,plain,
( ( ( tptp1 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[219,221]) ).
thf(250,plain,
( ( tptp1 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[249]) ).
thf(256,plain,
tptp1 != tptp0,
inference(simp,[status(thm)],[250]) ).
thf(14113,plain,
! [A: $i] :
( ( A != tptp1 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,256]) ).
thf(14114,plain,
! [A: $i] :
( ( A != tptp1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[14113]) ).
thf(14115,plain,
~ ( tptp1 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[14114:[bind(A,$thf( tptp1 ))]]) ).
thf(15281,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,14115]) ).
thf(15282,plain,
( ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15281:[bind(A,$thf( sk1 ))]]) ).
thf(185,plain,
! [B: $i,A: $i] :
( ( A @ arboreal )
| ~ ( B @ atomic )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[183]) ).
thf(17444,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,172]) ).
thf(17445,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[17444]) ).
thf(17446,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[17445:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(155,plain,
! [A: $i] :
( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(264,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,155]) ).
thf(265,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[264]) ).
thf(266,plain,
( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[265:[bind(A,$thf( sk1 ))]]) ).
thf(1147,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[266,172]) ).
thf(1148,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1147]) ).
thf(1149,plain,
( ( sk1 @ sk12 @ activity_occurrence )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1148:[bind(A,$thf( tptp1 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(1519,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( sk1 @ sk12 @ activity_occurrence ) ),
inference(paramod_ordered,[status(thm)],[1149,172]) ).
thf(1520,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( sk1 @ sk12 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1519]) ).
thf(1521,plain,
( ( sk1 @ sk12 @ activity_occurrence )
| ( sk1 @ sk12 @ activity_occurrence ) ),
inference(pattern_uni,[status(thm)],[1520:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(1548,plain,
sk1 @ sk12 @ activity_occurrence,
inference(simp,[status(thm)],[1521]) ).
thf(1789,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1548,218]) ).
thf(1790,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1789]) ).
thf(1791,plain,
sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1790:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(1995,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1791,149]) ).
thf(1996,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1995]) ).
thf(2035,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk12 )
!= A )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1996]) ).
thf(2046,plain,
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( tptp3 @ ( sk1 @ sk12 @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2035]) ).
thf(20285,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,144]) ).
thf(20286,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( A @ ( B @ ( C @ sk9 ) ) @ root ) ) ),
inference(simp,[status(thm)],[20285]) ).
thf(20287,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ),
inference(pattern_uni,[status(thm)],[20286:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(20288,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,187]) ).
thf(20289,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) ) ),
inference(simp,[status(thm)],[20288]) ).
thf(20290,plain,
~ ( tptp0 @ ( sk1 @ sk11 @ root ) ),
inference(pattern_uni,[status(thm)],[20289:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(23987,plain,
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20287,20290]) ).
thf(23988,plain,
( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) ),
inference(simp,[status(thm)],[23987]) ).
thf(24085,plain,
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[23988]) ).
thf(24091,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[24085]) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[107]) ).
thf(3913,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3695,109]) ).
thf(3914,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[3913]) ).
thf(3915,plain,
sk1 @ ( sk1 @ sk10 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[3914:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 ))]]) ).
thf(247,plain,
( ( ( tptp3 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[173,221]) ).
thf(248,plain,
( ( tptp3 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[247]) ).
thf(255,plain,
tptp3 != tptp0,
inference(simp,[status(thm)],[248]) ).
thf(14512,plain,
! [A: $i] :
( ( A != tptp3 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,255]) ).
thf(14513,plain,
! [A: $i] :
( ( A != tptp3 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[14512]) ).
thf(14514,plain,
~ ( tptp3 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[14513:[bind(A,$thf( tptp3 ))]]) ).
thf(15402,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,14514]) ).
thf(15403,plain,
( ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15402:[bind(A,$thf( sk1 ))]]) ).
thf(8121,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,172]) ).
thf(8122,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[8121]) ).
thf(8123,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[8122:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(8222,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8123,217]) ).
thf(8223,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[8222]) ).
thf(8224,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[8223:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
thf(123,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(124,plain,
! [A: $i,B: $i] :
( ? [C: $i] : ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
inference(miniscope,[status(thm)],[123]) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ precedes ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[124]) ).
thf(21411,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,125]) ).
thf(21412,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[21411]) ).
thf(21413,plain,
sk1 @ sk12 @ ( sk1 @ sk11 @ precedes ),
inference(pattern_uni,[status(thm)],[21412:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ precedes ) )
<=> ( ( B @ legal )
& ( B @ ( A @ earlier ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( ( ( B @ legal )
& ( B @ ( A @ earlier ) ) )
=> ( B @ ( A @ precedes ) ) )
& ( ( B @ ( A @ precedes ) )
=> ( ( B @ legal )
& ( B @ ( A @ earlier ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(76,plain,
( ! [A: $i,B: $i] :
( ( ( B @ legal )
& ( B @ ( A @ earlier ) ) )
=> ( B @ ( A @ precedes ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ precedes ) )
=> ( ( B @ legal )
& ( B @ ( A @ earlier ) ) ) ) ),
inference(miniscope,[status(thm)],[75]) ).
thf(77,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ precedes ) )
| ~ ( D @ legal )
| ~ ( D @ ( C @ earlier ) ) )
& ( ( B @ legal )
| ~ ( B @ ( A @ precedes ) ) )
& ( ( B @ ( A @ earlier ) )
| ~ ( B @ ( A @ precedes ) ) ) ),
inference(cnf,[status(esa)],[76]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ( B @ legal )
| ~ ( B @ ( A @ precedes ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(21909,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21413,79]) ).
thf(21910,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal ) ),
inference(simp,[status(thm)],[21909]) ).
thf(21911,plain,
sk1 @ sk12 @ legal,
inference(pattern_uni,[status(thm)],[21910:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(11636,plain,
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[765,11420]) ).
thf(11637,plain,
( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11636]) ).
thf(11719,plain,
( ( tptp4 != tptp4 )
| ( ( sk1 @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[11637]) ).
thf(11729,plain,
( ( sk1 @ sk11 )
!= sk1 ),
inference(simp,[status(thm)],[11719]) ).
thf(14291,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( tptp0 @ sk11 )
!= sk1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,11729]) ).
thf(14292,plain,
( ( ( tptp0 @ sk11 )
!= sk1 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14291:[bind(A,$thf( sk1 ))]]) ).
thf(33,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
thf(174,plain,
tptp3 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[143]) ).
thf(21451,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,145]) ).
thf(21452,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[21451]) ).
thf(21453,plain,
tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[21452:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(45152,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ $true
| ~ ( B @ ( A @ leaf ) ) ),
inference(paramod_ordered,[status(thm)],[21453,202]) ).
thf(45153,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(simp,[status(thm)],[45152]) ).
thf(45154,plain,
~ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ leaf ) ),
inference(pattern_uni,[status(thm)],[45153:[bind(A,$thf( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( tptp0 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(4131,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[4068,187]) ).
thf(4132,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[4131]) ).
thf(4133,plain,
! [A: $i] :
~ ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[4132:[bind(A,$thf( A )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) ))]]) ).
thf(15674,plain,
! [A: $i] :
~ ( tptp0 @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ),
inference(rewrite,[status(thm)],[4133,14864]) ).
thf(17401,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,1164]) ).
thf(17402,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[17401]) ).
thf(17403,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[17402:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(17749,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17403,217]) ).
thf(17750,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[17749]) ).
thf(17751,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[17750:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 ))]]) ).
thf(21958,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21911,87]) ).
thf(21959,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[21958]) ).
thf(21960,plain,
sk1 @ sk12 @ arboreal,
inference(pattern_uni,[status(thm)],[21959:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ min_precedes ) ) )
=> ? [D: $i,E: $i] :
( ( E @ ( C @ atocc ) )
& ( D @ ( B @ atocc ) )
& ( A @ ( E @ subactivity ) )
& ( A @ ( D @ subactivity ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
thf(191,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ min_precedes ) ) )
=> ? [D: $i,E: $i] :
( ( E @ ( C @ atocc ) )
& ( D @ ( B @ atocc ) )
& ( A @ ( E @ subactivity ) )
& ( A @ ( D @ subactivity ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(192,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ min_precedes ) ) )
=> ? [D: $i] :
( ? [E: $i] :
( ( E @ ( C @ atocc ) )
& ( D @ ( B @ atocc ) )
& ( A @ ( E @ subactivity ) ) )
& ( A @ ( D @ subactivity ) ) ) ),
inference(miniscope,[status(thm)],[191]) ).
thf(193,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ) ),
inference(cnf,[status(esa)],[192]) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[193]) ).
thf(14255,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk12 ) )
| ( tptp0 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,1548]) ).
thf(14256,plain,
( ( tptp0 @ activity_occurrence )
| ~ ( sk1 @ sk12 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14255:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(35407,plain,
( ( ( sk1 @ sk12 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14256]) ).
thf(35408,plain,
( ( ( sk1 @ sk12 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[35407]) ).
thf(35501,plain,
( ( ( sk1 @ sk12 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[35408]) ).
thf(35525,plain,
( ( ( sk1 @ sk12 )
!= tptp0 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[35501]) ).
thf(8161,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,154]) ).
thf(8162,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[8161]) ).
thf(8163,plain,
tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[8162:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(11456,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8163,10344]) ).
thf(11457,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11456]) ).
thf(11458,plain,
~ ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[11457:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 ))]]) ).
thf(171,plain,
! [B: $i,A: $i] :
( ( A @ activity )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[170]) ).
thf(900,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[590,171]) ).
thf(901,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity ) ),
inference(simp,[status(thm)],[900]) ).
thf(902,plain,
tptp3 @ activity,
inference(pattern_uni,[status(thm)],[901:[bind(A,$thf( tptp3 )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(15400,plain,
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[590,14514]) ).
thf(15401,plain,
( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15400]) ).
thf(15484,plain,
( ( tptp3 != tptp3 )
| ( ( sk1 @ sk10 )
!= sk1 ) ),
inference(simp,[status(thm)],[15401]) ).
thf(15508,plain,
( ( sk1 @ sk10 )
!= sk1 ),
inference(simp,[status(thm)],[15484]) ).
thf(15632,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( tptp0 @ sk10 )
!= sk1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,15508]) ).
thf(15633,plain,
( ( ( tptp0 @ sk10 )
!= sk1 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15632:[bind(A,$thf( sk1 ))]]) ).
thf(261,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
!= ( tptp1 @ ( C @ occurrence_of ) ) )
| ~ ( sk1 @ ( C @ leaf_occ ) )
| ~ ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
| ~ $true
| ~ ( sk1 @ ( B @ root_occ ) )
| ~ ( tptp3 @ ( B @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[155,56]) ).
thf(262,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
!= ( tptp1 @ ( C @ occurrence_of ) ) )
| ~ ( sk1 @ ( C @ leaf_occ ) )
| ~ ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
| ~ ( sk1 @ ( B @ root_occ ) )
| ~ ( tptp3 @ ( B @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[261]) ).
thf(263,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ ( B @ sk12 @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ sk12 @ ( A @ min_precedes ) ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) )
| ( tptp2 @ ( B @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( B @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[262:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( D @ sk12 ))]]) ).
thf(284,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ ( B @ sk12 @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ sk12 @ ( A @ min_precedes ) ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) )
| ( tptp2 @ ( B @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[263]) ).
thf(17488,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,154]) ).
thf(17489,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17488]) ).
thf(17490,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[17489:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(18749,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17490,11420]) ).
thf(18750,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[18749]) ).
thf(18909,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[18750]) ).
thf(18945,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 )
!= sk1 ),
inference(simp,[status(thm)],[18909]) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ subactivity_occurrence ) )
& ~ ( A @ atomic )
& ( B @ ( D @ occurrence_of ) )
& ( A @ ( C @ occurrence_of ) ) )
=> ( B @ ( A @ subactivity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).
thf(228,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ subactivity_occurrence ) )
& ~ ( A @ atomic )
& ( B @ ( D @ occurrence_of ) )
& ( A @ ( C @ occurrence_of ) ) )
=> ( B @ ( A @ subactivity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(194,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[193]) ).
thf(30132,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,194]) ).
thf(30133,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[30132]) ).
thf(30134,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk15 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[30133:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ earlier ) )
& ( A @ legal ) )
=> ( B @ legal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ earlier ) )
& ( A @ legal ) )
=> ( B @ legal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(78,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ earlier ) )
| ~ ( B @ ( A @ precedes ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(1634,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( C @ occurrence_of ) ) )
| ( tptp1 @ ( C @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( C @ sk12 @ occurrence_of ) )
| ~ $true
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(paramod_ordered,[status(thm)],[95,155]) ).
thf(1635,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( C @ occurrence_of ) ) )
| ( tptp1 @ ( C @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( C @ sk12 @ occurrence_of ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(simp,[status(thm)],[1634]) ).
thf(1636,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp0 @ atomic )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(pattern_uni,[status(thm)],[1635:[bind(A,$thf( tptp0 )),bind(B,$thf( D )),bind(C,$thf( tptp0 @ ( D @ sk3 ) ))]]) ).
thf(1655,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp0 @ atomic )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(simp,[status(thm)],[1636]) ).
thf(2532,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| $false
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(rewrite,[status(thm)],[1655,221]) ).
thf(2533,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(simp,[status(thm)],[2532]) ).
thf(151,plain,
! [A: $i] :
( ( A @ ( A @ sk12 @ leaf_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[148]) ).
thf(19015,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk12 @ leaf_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,151]) ).
thf(19016,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk12 @ leaf_occ ) ) ),
inference(simp,[status(thm)],[19015]) ).
thf(19017,plain,
sk1 @ ( sk1 @ sk12 @ leaf_occ ),
inference(pattern_uni,[status(thm)],[19016:[bind(A,$thf( sk1 ))]]) ).
thf(19170,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19017,101]) ).
thf(19171,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[19170]) ).
thf(19172,plain,
sk1 @ ( sk1 @ sk12 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[19171:[bind(A,$thf( sk1 @ sk12 )),bind(B,$thf( sk1 ))]]) ).
thf(11666,plain,
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8163,11420]) ).
thf(11667,plain,
( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11666]) ).
thf(11700,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[11667]) ).
thf(11740,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 )
!= sk1 ),
inference(simp,[status(thm)],[11700]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ subactivity_occurrence ) )
& ( C @ ( D @ occurrence_of ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) )
=> ( D @ ( A @ subactivity_occurrence ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
thf(164,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ subactivity_occurrence ) )
& ( C @ ( D @ occurrence_of ) )
& ( C @ ( B @ ( A @ min_precedes ) ) ) )
=> ( D @ ( A @ subactivity_occurrence ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[94]) ).
thf(4128,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4068,96]) ).
thf(4129,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[4128]) ).
thf(4130,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ sk3 ) @ ( sk1 @ sk10 @ subactivity_occurrence ) )
| ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ atomic ) ),
inference(pattern_uni,[status(thm)],[4129:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(15669,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( sk1 @ sk10 @ subactivity_occurrence ) )
| ( tptp0 @ atomic ) ),
inference(rewrite,[status(thm)],[4130,14864]) ).
thf(35224,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( sk1 @ sk10 @ subactivity_occurrence ) )
| $false ),
inference(rewrite,[status(thm)],[15669,221]) ).
thf(35225,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( sk1 @ sk10 @ subactivity_occurrence ),
inference(simp,[status(thm)],[35224]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(cnfConj,[status(thm)],[83]) ).
thf(2322,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( D @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(paramod_ordered,[status(thm)],[101,85]) ).
thf(2323,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( D @ activity_occurrence )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(simp,[status(thm)],[2322]) ).
thf(2324,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(pattern_uni,[status(thm)],[2323:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(42,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
thf(211,plain,
tptp4 != tptp3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(20302,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,145]) ).
thf(20303,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk9 ) ) @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[20302]) ).
thf(20304,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[20303:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(181,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[178]) ).
thf(27363,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,181]) ).
thf(27364,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[27363]) ).
thf(27365,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ ( sk1 @ sk11 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[27364:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(903,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[266,171]) ).
thf(904,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[903]) ).
thf(905,plain,
( ( tptp1 @ activity )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[904:[bind(A,$thf( tptp1 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ earlier ) )
& ( B @ ( A @ earlier ) ) )
=> ( ( A = C )
| ( C @ ( A @ earlier ) )
| ( A @ ( C @ earlier ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
thf(61,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ earlier ) )
& ( B @ ( A @ earlier ) ) )
=> ( ( A = C )
| ( C @ ( A @ earlier ) )
| ( A @ ( C @ earlier ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25753,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,1162]) ).
thf(25754,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[25753]) ).
thf(25755,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[25754:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(28176,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25755,217]) ).
thf(28177,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[28176]) ).
thf(28178,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[28177:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 ))]]) ).
thf(45163,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21453,125]) ).
thf(45164,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[45163]) ).
thf(45165,plain,
sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ precedes ),
inference(pattern_uni,[status(thm)],[45164:[bind(A,$thf( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( sk1 @ sk12 )),bind(C,$thf( tptp0 ))]]) ).
thf(45545,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45165,78]) ).
thf(45546,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[45545]) ).
thf(45547,plain,
sk1 @ sk12 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ earlier ),
inference(pattern_uni,[status(thm)],[45546:[bind(A,$thf( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subactivity_occurrence ) )
& ( B @ ( A @ subactivity_occurrence ) ) )
=> ( C @ ( A @ subactivity_occurrence ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_31) ).
thf(73,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subactivity_occurrence ) )
& ( B @ ( A @ subactivity_occurrence ) ) )
=> ( C @ ( A @ subactivity_occurrence ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ subactivity_occurrence ) )
| ~ ( C @ ( B @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(204,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ leaf ) )
| ( B @ ( A @ ( B @ sk18 ) @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ ( C @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[200]) ).
thf(206,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ leaf ) )
| ( B @ ( A @ ( B @ sk18 ) @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ ( C @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[204]) ).
thf(131,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( A @ ( B @ ( C @ sk7 ) ) @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(133,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( A @ ( B @ ( C @ sk7 ) ) @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(20262,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,125]) ).
thf(20263,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[20262]) ).
thf(20264,plain,
sk1 @ sk11 @ ( sk1 @ sk10 @ precedes ),
inference(pattern_uni,[status(thm)],[20263:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(20608,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20264,79]) ).
thf(20609,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal ) ),
inference(simp,[status(thm)],[20608]) ).
thf(20610,plain,
sk1 @ sk11 @ legal,
inference(pattern_uni,[status(thm)],[20609:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(24263,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk11 )
!= sk1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14292]) ).
thf(24264,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[24263]) ).
thf(24362,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( ( tptp0 @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[24264]) ).
thf(24381,plain,
( ( sk1 != tptp0 )
| ( ( tptp0 @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[24362]) ).
thf(24397,plain,
! [A: $i] :
( ( A
!= ( tptp0 @ sk11 ) )
| ( sk1 != tptp0 )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,24381]) ).
thf(24398,plain,
! [A: $i] :
( ( A
!= ( tptp0 @ sk11 ) )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[24397]) ).
thf(24399,plain,
( ( sk1 != tptp0 )
| ~ ( tptp0 @ sk11 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[24398:[bind(A,$thf( tptp0 @ sk11 ))]]) ).
thf(37916,plain,
( ( ( tptp0 @ sk11 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,24399]) ).
thf(37917,plain,
( ( ( tptp0 @ sk11 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[37916]) ).
thf(38013,plain,
( ( ( tptp0 @ sk11 )
!= tptp0 )
| ( sk1 != sk1 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[37917]) ).
thf(38061,plain,
( ( ( tptp0 @ sk11 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[38013]) ).
thf(1989,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1791,1164]) ).
thf(1990,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1989]) ).
thf(2036,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk12 )
!= A )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1990]) ).
thf(2047,plain,
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( sk1 @ sk12 @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2036]) ).
thf(1065,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[905,171]) ).
thf(1066,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1065]) ).
thf(1067,plain,
( ( tptp2 @ activity )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1066:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ earlier ) )
=> ~ ( A @ ( B @ earlier ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
thf(59,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ earlier ) )
=> ~ ( A @ ( B @ earlier ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ earlier ) )
| ~ ( B @ ( A @ earlier ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ subactivity_occurrence ) )
& ( B @ ( C @ subactivity_occurrence ) )
& ( D @ arboreal )
& ( C @ arboreal )
& ( A @ ( B @ occurrence_of ) ) )
=> ( ( C = D )
| ( A @ ( C @ ( D @ min_precedes ) ) )
| ( A @ ( D @ ( C @ min_precedes ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
thf(117,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ subactivity_occurrence ) )
& ( B @ ( C @ subactivity_occurrence ) )
& ( D @ arboreal )
& ( C @ arboreal )
& ( A @ ( B @ occurrence_of ) ) )
=> ( ( C = D )
| ( A @ ( C @ ( D @ min_precedes ) ) )
| ( A @ ( D @ ( C @ min_precedes ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(1260,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1146,217]) ).
thf(1261,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1260]) ).
thf(1262,plain,
sk1 @ sk10 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1261:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(1304,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1262,89]) ).
thf(1305,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1304]) ).
thf(1306,plain,
sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1305:[bind(A,$thf( sk1 @ sk10 @ sk19 ))]]) ).
thf(201,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk17 ) @ min_precedes ) ) )
| ( B @ ( A @ root ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(cnfConj,[status(thm)],[200]) ).
thf(43832,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20304,125]) ).
thf(43833,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[43832]) ).
thf(43834,plain,
sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ precedes ),
inference(pattern_uni,[status(thm)],[43833:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( tptp0 ))]]) ).
thf(4908,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,68]) ).
thf(4909,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) ) ),
inference(simp,[status(thm)],[4908]) ).
thf(4910,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) @ subactivity ),
inference(pattern_uni,[status(thm)],[4909:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk4 ) @ ( A @ leaf ) )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(17456,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,1162]) ).
thf(17457,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[17456]) ).
thf(17458,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[17457:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(17842,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17458,217]) ).
thf(17843,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[17842]) ).
thf(17844,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[17843:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 ))]]) ).
thf(26495,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,1164]) ).
thf(26496,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26495]) ).
thf(26497,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26496:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(29071,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26497,217]) ).
thf(29072,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[29071]) ).
thf(29073,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[29072:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 ))]]) ).
thf(1090,plain,
( ~ $true
| ( ( tptp1 @ activity )
!= ( tptp2 @ activity ) )
| ( tptp2 @ activity ) ),
inference(eqfactor_ordered,[status(thm)],[1067]) ).
thf(1091,plain,
( ( ( tptp1 @ activity )
!= ( tptp2 @ activity ) )
| ( tptp2 @ activity ) ),
inference(simp,[status(thm)],[1090]) ).
thf(195,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[193]) ).
thf(30776,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,195]) ).
thf(30777,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[30776]) ).
thf(30778,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk16 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[30777:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(1561,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1548,217]) ).
thf(1562,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1561]) ).
thf(1563,plain,
sk1 @ sk12 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1562:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(1578,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1563,89]) ).
thf(1579,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1578]) ).
thf(1580,plain,
sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1579:[bind(A,$thf( sk1 @ sk12 @ sk19 ))]]) ).
thf(4120,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4068,69]) ).
thf(4121,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[4120]) ).
thf(4122,plain,
sk1 @ sk10 @ ( sk1 @ sk5 ) @ ( sk1 @ sk10 @ sk2 ) @ ( sk1 @ sk10 @ atocc ),
inference(pattern_uni,[status(thm)],[4121:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk5 ) )),bind(B,$thf( sk1 @ sk10 ))]]) ).
thf(15672,plain,
tptp0 @ ( sk1 @ sk10 @ sk2 ) @ ( sk1 @ sk10 @ atocc ),
inference(rewrite,[status(thm)],[4122,14864]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ atocc ) )
<=> ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
thf(156,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) )
=> ( B @ ( A @ atocc ) ) )
& ( ( B @ ( A @ atocc ) )
=> ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(157,plain,
( ! [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) )
=> ( B @ ( A @ atocc ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ atocc ) )
=> ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) ) ) ),
inference(miniscope,[status(thm)],[156]) ).
thf(158,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ atocc ) )
| ~ ( E @ ( C @ occurrence_of ) )
| ~ ( E @ atomic )
| ~ ( E @ ( D @ subactivity ) ) )
& ( ( A @ ( B @ sk13 ) @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ atocc ) ) )
& ( ( A @ ( B @ sk13 ) @ atomic )
| ~ ( B @ ( A @ atocc ) ) )
& ( ( A @ ( B @ sk13 ) @ ( B @ subactivity ) )
| ~ ( B @ ( A @ atocc ) ) ) ),
inference(cnf,[status(esa)],[157]) ).
thf(160,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk13 ) @ atomic )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[158]) ).
thf(21375,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ ( sk1 @ sk10 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk13 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15672,160]) ).
thf(21376,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ ( sk1 @ sk10 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk13 ) @ atomic ) ),
inference(simp,[status(thm)],[21375]) ).
thf(21377,plain,
sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) @ atomic,
inference(pattern_uni,[status(thm)],[21376:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( tptp0 @ ( sk1 @ sk10 @ sk2 ) ))]]) ).
thf(24973,plain,
( ( ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21377,221]) ).
thf(24974,plain,
( ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[24973]) ).
thf(25081,plain,
( ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) )
!= tptp0 ),
inference(simp,[status(thm)],[24974]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A @ legal )
& ( B @ ( A @ atocc ) ) )
=> ( B @ ( A @ root ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
thf(70,plain,
! [A: $i,B: $i] :
( ( ( A @ legal )
& ( B @ ( A @ atocc ) ) )
=> ( B @ ( A @ root ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23963,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20287,92]) ).
thf(23964,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[23963]) ).
thf(23965,plain,
sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ legal,
inference(pattern_uni,[status(thm)],[23964:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( tptp0 ))]]) ).
thf(24155,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23965,87]) ).
thf(24156,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[24155]) ).
thf(24157,plain,
sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ arboreal,
inference(pattern_uni,[status(thm)],[24156:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) ))]]) ).
thf(24,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
thf(135,plain,
tptp2 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(136,plain,
tptp2 != tptp1,
inference(polarity_switch,[status(thm)],[135]) ).
thf(137,plain,
tptp1 != tptp2,
inference(lifteq,[status(thm)],[136]) ).
thf(165,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ subactivity_occurrence ) )
| ~ ( D @ ( B @ subactivity_occurrence ) )
| ~ ( C @ ( D @ occurrence_of ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[164]) ).
thf(29435,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp0 @ legal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,29406]) ).
thf(29436,plain,
( ~ ( tptp0 @ legal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[29435:[bind(A,$thf( sk1 ))]]) ).
thf(29392,plain,
( ( ( sk1 @ sk12 @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21960,29387]) ).
thf(29393,plain,
( ( sk1 @ sk12 @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[29392]) ).
thf(29422,plain,
( ( sk1 @ sk12 )
!= sk1 ),
inference(simp,[status(thm)],[29393]) ).
thf(29592,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( tptp0 @ sk12 )
!= sk1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,29422]) ).
thf(29593,plain,
( ( ( tptp0 @ sk12 )
!= sk1 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[29592:[bind(A,$thf( sk1 ))]]) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[193]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ earlier ) )
& ( B @ ( A @ earlier ) ) )
=> ( C @ ( A @ earlier ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
thf(64,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ earlier ) )
& ( B @ ( A @ earlier ) ) )
=> ( C @ ( A @ earlier ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ earlier ) )
| ~ ( C @ ( B @ earlier ) )
| ~ ( B @ ( A @ earlier ) ) ),
inference(cnf,[status(esa)],[64]) ).
thf(26583,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,1162]) ).
thf(26584,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26583]) ).
thf(26585,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26584:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(29259,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26585,217]) ).
thf(29260,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[29259]) ).
thf(29261,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[29260:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 ))]]) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[178]) ).
thf(26105,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,180]) ).
thf(26106,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[26105]) ).
thf(26107,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ ( sk1 @ sk10 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[26106:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(15630,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 ) )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,15508]) ).
thf(15631,plain,
( ( sk1 != tptp0 )
| ~ ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15630:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(25525,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk19 )
!= tptp4 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14347]) ).
thf(25526,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk19 )
!= tptp4 ) ),
inference(simp,[status(thm)],[25525]) ).
thf(25612,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( ( tptp0 @ sk19 )
!= tptp4 ) ),
inference(simp,[status(thm)],[25526]) ).
thf(25640,plain,
( ( sk1 != tptp0 )
| ( ( tptp0 @ sk19 )
!= tptp4 ) ),
inference(simp,[status(thm)],[25612]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( B @ precedes ) )
& ( D @ ( A @ ( C @ min_precedes ) ) )
& ( D @ ( A @ ( B @ min_precedes ) ) ) )
=> ( D @ ( C @ ( B @ min_precedes ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).
thf(223,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( B @ precedes ) )
& ( D @ ( A @ ( C @ min_precedes ) ) )
& ( D @ ( A @ ( B @ min_precedes ) ) ) )
=> ( D @ ( C @ ( B @ min_precedes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(224,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ min_precedes ) ) )
| ~ ( C @ ( B @ precedes ) )
| ~ ( D @ ( A @ ( C @ min_precedes ) ) )
| ~ ( D @ ( A @ ( B @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[223]) ).
thf(1087,plain,
! [A: $i] :
( ( ( tptp1 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true
| ( tptp2 @ activity ) ),
inference(paramod_ordered,[status(thm)],[1067,89]) ).
thf(1088,plain,
! [A: $i] :
( ( ( tptp1 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ( tptp2 @ activity ) ),
inference(simp,[status(thm)],[1087]) ).
thf(1089,plain,
( ( tptp1 @ ( tptp1 @ subactivity ) )
| ( tptp2 @ activity ) ),
inference(pattern_uni,[status(thm)],[1088:[bind(A,$thf( tptp1 ))]]) ).
thf(21409,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,15674]) ).
thf(21410,plain,
! [A: $i] :
( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[21409]) ).
thf(21524,plain,
! [A: $i] :
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk12 )
!= ( sk1 @ sk10 ) )
| ( ( sk1 @ sk11 )
!= A ) ),
inference(simp,[status(thm)],[21410]) ).
thf(21533,plain,
( ( sk1 @ sk12 )
!= ( sk1 @ sk10 ) ),
inference(simp,[status(thm)],[21524]) ).
thf(17406,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,11458]) ).
thf(17407,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17406]) ).
thf(17559,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 ) ) ),
inference(simp,[status(thm)],[17407]) ).
thf(17578,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 ) ),
inference(simp,[status(thm)],[17559]) ).
thf(32115,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,15526]) ).
thf(32116,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[32115]) ).
thf(32260,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[32116]) ).
thf(32307,plain,
( ( sk1 != tptp0 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[32260]) ).
thf(17441,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,149]) ).
thf(17442,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17441]) ).
thf(17443,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[17442:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(18541,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17443,14514]) ).
thf(18542,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[18541]) ).
thf(18594,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 )
!= sk1 ) ),
inference(simp,[status(thm)],[18542]) ).
thf(18613,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 )
!= sk1 ),
inference(simp,[status(thm)],[18594]) ).
thf(37,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
thf(188,plain,
tptp4 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14311,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,54]) ).
thf(14312,plain,
( ( tptp0 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14311:[bind(A,$thf( sk1 ))]]) ).
thf(139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ~ ( C @ ( A @ ( B @ ( C @ ( D @ sk8 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) )
& ( ( D @ ( A @ ( B @ ( C @ ( D @ sk8 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[138]) ).
thf(141,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( C @ ( D @ sk8 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[139]) ).
thf(19181,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ ( B @ sk4 ) @ ( A @ leaf ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19017,102]) ).
thf(19182,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ ( B @ sk4 ) @ ( A @ leaf ) ) ),
inference(simp,[status(thm)],[19181]) ).
thf(19183,plain,
sk1 @ sk12 @ ( sk1 @ sk4 ) @ ( sk1 @ sk12 @ leaf ),
inference(pattern_uni,[status(thm)],[19182:[bind(A,$thf( sk1 @ sk12 )),bind(B,$thf( sk1 ))]]) ).
thf(100,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(19237,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19017,100]) ).
thf(19238,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[19237]) ).
thf(19239,plain,
sk1 @ sk12 @ ( sk1 @ sk4 ) @ ( sk1 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[19238:[bind(A,$thf( sk1 @ sk12 )),bind(B,$thf( sk1 ))]]) ).
thf(19463,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk4 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ~ $true
| ( tptp0 = A ) ),
inference(paramod_ordered,[status(thm)],[19239,10588]) ).
thf(19464,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk4 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 = A ) ),
inference(simp,[status(thm)],[19463]) ).
thf(19465,plain,
( ( sk1 @ sk12 @ ( sk1 @ sk4 ) )
= tptp0 ),
inference(pattern_uni,[status(thm)],[19464:[bind(A,$thf( sk1 @ sk12 @ ( sk1 @ sk4 ) ))]]) ).
thf(23449,plain,
tptp0 @ ( sk1 @ sk12 @ leaf ),
inference(rewrite,[status(thm)],[19183,19465]) ).
thf(23452,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ leaf ) )
!= ( B @ ( A @ leaf ) ) )
| ~ ( B @ ( C @ ( A @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23449,202]) ).
thf(23453,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ leaf ) )
!= ( B @ ( A @ leaf ) ) )
| ~ ( B @ ( C @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[23452]) ).
thf(23454,plain,
! [A: $i] :
~ ( tptp0 @ ( A @ ( sk1 @ sk12 @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[23453:[bind(A,$thf( sk1 @ sk12 )),bind(B,$thf( tptp0 )),bind(C,$thf( C ))]]) ).
thf(23511,plain,
! [A: $i] :
~ ( tptp0 @ ( A @ ( sk1 @ sk12 @ min_precedes ) ) ),
inference(simp,[status(thm)],[23454]) ).
thf(684,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp2 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[214,208]) ).
thf(685,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp2 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[684]) ).
thf(686,plain,
! [B: $i,A: $i] :
~ ( tptp2 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[685:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp2 ))]]) ).
thf(25730,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,149]) ).
thf(25731,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25730]) ).
thf(25732,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[25731:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(32882,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25732,14514]) ).
thf(32883,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[32882]) ).
thf(32958,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 )
!= sk1 ) ),
inference(simp,[status(thm)],[32883]) ).
thf(33022,plain,
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk10 )
!= sk1 ),
inference(simp,[status(thm)],[32958]) ).
thf(14109,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,1155]) ).
thf(14110,plain,
( ( tptp0 @ activity_occurrence )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14109:[bind(A,$thf( sk1 ))]]) ).
thf(4877,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,92]) ).
thf(4878,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[4877]) ).
thf(4879,plain,
tptp0 @ ( sk1 @ sk6 ) @ legal,
inference(pattern_uni,[status(thm)],[4878:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) )),bind(B,$thf( tptp0 ))]]) ).
thf(4934,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4879,87]) ).
thf(4935,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[4934]) ).
thf(4936,plain,
tptp0 @ ( sk1 @ sk6 ) @ arboreal,
inference(pattern_uni,[status(thm)],[4935:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(29415,plain,
( ( ( tptp0 @ ( sk1 @ sk6 ) @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4936,29387]) ).
thf(29416,plain,
( ( tptp0 @ ( sk1 @ sk6 ) @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[29415]) ).
thf(29426,plain,
( ( tptp0 @ ( sk1 @ sk6 ) )
!= sk1 ),
inference(simp,[status(thm)],[29416]) ).
thf(4883,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[4870,187]) ).
thf(4884,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[4883]) ).
thf(4885,plain,
! [A: $i] :
~ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[4884:[bind(A,$thf( A )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 ) )),bind(C,$thf( tptp0 ))]]) ).
thf(20348,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ ( A @ min_precedes ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,4885]) ).
thf(20349,plain,
! [A: $i] :
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[20348]) ).
thf(20370,plain,
! [A: $i] :
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk6 ) )
!= ( sk1 @ sk11 ) )
| ( ( sk1 @ sk10 )
!= A ) ),
inference(simp,[status(thm)],[20349]) ).
thf(20380,plain,
( ( tptp0 @ ( sk1 @ sk6 ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[20370]) ).
thf(49,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
thf(225,plain,
tptp3 != tptp2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(14245,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk10 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,1146]) ).
thf(14246,plain,
( ( tptp0 @ sk10 @ activity_occurrence )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14245:[bind(A,$thf( sk1 ))]]) ).
thf(33860,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14246]) ).
thf(33861,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[33860]) ).
thf(33940,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[33861]) ).
thf(33961,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[33940]) ).
thf(42040,plain,
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42002,20290]) ).
thf(42041,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) ),
inference(simp,[status(thm)],[42040]) ).
thf(42138,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[42041]) ).
thf(42146,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[42138]) ).
thf(29905,plain,
( ( ( tptp0 @ ( sk1 @ sk6 ) @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4936,29851]) ).
thf(29906,plain,
( ( ( tptp0 @ ( sk1 @ sk6 ) @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29905]) ).
thf(29917,plain,
( ( ( tptp0 @ ( sk1 @ sk6 ) )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29906]) ).
thf(17673,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17446,217]) ).
thf(17674,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[17673]) ).
thf(17675,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[17674:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(44252,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[43834,78]) ).
thf(44253,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[44252]) ).
thf(44254,plain,
sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ earlier ),
inference(pattern_uni,[status(thm)],[44253:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(27954,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,15403]) ).
thf(27955,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27954]) ).
thf(28092,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27955]) ).
thf(28159,plain,
( ( sk1 != tptp0 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[28092]) ).
thf(28317,plain,
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[590,28159]) ).
thf(28318,plain,
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[28317]) ).
thf(28428,plain,
( ( tptp3 != tptp3 )
| ( ( sk1 @ sk10 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[28318]) ).
thf(28450,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[28428]) ).
thf(25795,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,154]) ).
thf(25796,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25795]) ).
thf(25797,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[25796:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(29394,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24157,29387]) ).
thf(29395,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[29394]) ).
thf(29421,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )
!= sk1 ),
inference(simp,[status(thm)],[29395]) ).
thf(132,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk7 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk7 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(3575,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) )
!= ( C @ ( D @ occurrence_of ) ) )
| ( D @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[108,172]) ).
thf(3576,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk5 ) @ ( B @ occurrence_of ) )
!= ( C @ ( D @ occurrence_of ) ) )
| ( D @ activity_occurrence )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(simp,[status(thm)],[3575]) ).
thf(3577,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ root_occ ) ) ),
inference(pattern_uni,[status(thm)],[3576:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F @ ( E @ sk5 ) )),bind(D,$thf( E ))]]) ).
thf(3624,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ root_occ ) ) ),
inference(simp,[status(thm)],[3577]) ).
thf(203,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leaf ) )
| ( B @ ( A @ ( B @ sk18 ) @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ root ) ) ),
inference(cnfConj,[status(thm)],[200]) ).
thf(205,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leaf ) )
| ( B @ ( A @ ( B @ sk18 ) @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ root ) ) ),
inference(simp,[status(thm)],[203]) ).
thf(309,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( B @ ( A @ earlier ) ) ),
inference(eqfactor_ordered,[status(thm)],[60]) ).
thf(310,plain,
! [A: $i] :
~ ( A @ ( A @ earlier ) ),
inference(pattern_uni,[status(thm)],[309:[bind(A,$thf( B ))]]) ).
thf(311,plain,
! [A: $i] :
~ ( A @ ( A @ earlier ) ),
inference(simp,[status(thm)],[310]) ).
thf(14318,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 ) )
| ( tptp0 @ legal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,4127]) ).
thf(14319,plain,
( ( tptp0 @ legal )
| ~ ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14318:[bind(A,$thf( sk1 @ sk10 ))]]) ).
thf(43005,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14319]) ).
thf(43006,plain,
( ( ( sk1 @ sk10 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[43005]) ).
thf(43111,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[43006]) ).
thf(43136,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[43111]) ).
thf(3637,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( D @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[109,85]) ).
thf(3638,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( D @ activity_occurrence )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(simp,[status(thm)],[3637]) ).
thf(3639,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(pattern_uni,[status(thm)],[3638:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(1815,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1152,218]) ).
thf(1816,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1815]) ).
thf(1817,plain,
sk1 @ sk11 @ sk19 @ ( sk1 @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1816:[bind(A,$thf( sk1 @ sk11 ))]]) ).
thf(11982,plain,
( ( ( sk1 @ sk11 @ sk19 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1817,11400]) ).
thf(11983,plain,
( ( sk1 @ sk11 @ sk19 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11982]) ).
thf(12033,plain,
( ( ( sk1 @ sk11 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk11 )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[11983]) ).
thf(12047,plain,
( ( sk1 @ sk11 @ sk19 )
!= tptp0 ),
inference(simp,[status(thm)],[12033]) ).
thf(14884,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk11 @ sk19 ) )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,12047]) ).
thf(14885,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk11 @ sk19 ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[14884]) ).
thf(14886,plain,
~ ( sk1 @ sk11 @ sk19 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[14885:[bind(A,$thf( sk1 @ sk11 @ sk19 ))]]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( B @ legal )
| ~ ( A @ ( B @ earlier ) )
| ~ ( A @ legal ) ),
inference(cnf,[status(esa)],[57]) ).
thf(4189,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ legal )
!= ( A @ legal ) )
| ( B @ legal )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4127,58]) ).
thf(4190,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk10 @ legal )
!= ( A @ legal ) )
| ( B @ legal )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[4189]) ).
thf(4191,plain,
! [A: $i] :
( ( A @ legal )
| ~ ( sk1 @ sk10 @ ( A @ earlier ) ) ),
inference(pattern_uni,[status(thm)],[4190:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( B ))]]) ).
thf(4195,plain,
! [A: $i] :
( ( A @ legal )
| ~ ( sk1 @ sk10 @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[4191]) ).
thf(8245,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8123,218]) ).
thf(8246,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[8245]) ).
thf(8247,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[8246:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(2002,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1791,1162]) ).
thf(2003,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2002]) ).
thf(2043,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk12 )
!= A )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2003]) ).
thf(2057,plain,
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( sk1 @ sk12 @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2043]) ).
thf(14320,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk10 @ legal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,4127]) ).
thf(14321,plain,
( ( tptp0 @ sk10 @ legal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14320:[bind(A,$thf( sk1 ))]]) ).
thf(44947,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14321]) ).
thf(44948,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk10 @ legal ) ),
inference(simp,[status(thm)],[44947]) ).
thf(45018,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ sk10 @ legal ) ),
inference(simp,[status(thm)],[44948]) ).
thf(45060,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ sk10 @ legal ) ),
inference(simp,[status(thm)],[45018]) ).
thf(4871,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,69]) ).
thf(4872,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[4871]) ).
thf(4873,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk6 ) @ atocc ),
inference(pattern_uni,[status(thm)],[4872:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(21378,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk6 ) @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk13 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4873,160]) ).
thf(21379,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk6 ) @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk13 ) @ atomic ) ),
inference(simp,[status(thm)],[21378]) ).
thf(21380,plain,
tptp0 @ ( sk1 @ sk6 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) @ sk13 ) @ atomic,
inference(pattern_uni,[status(thm)],[21379:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk2 ) ))]]) ).
thf(30,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
thf(166,plain,
tptp4 != tptp2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(42212,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42013,87]) ).
thf(42213,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[42212]) ).
thf(42214,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ arboreal,
inference(pattern_uni,[status(thm)],[42213:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) ))]]) ).
thf(26528,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,11400]) ).
thf(26529,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26528]) ).
thf(26741,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[26529]) ).
thf(26768,plain,
( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[26741]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk13 ) @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[158]) ).
thf(175,plain,
tptp3 != tptp1,
inference(polarity_switch,[status(thm)],[174]) ).
thf(176,plain,
tptp1 != tptp3,
inference(lifteq,[status(thm)],[175]) ).
thf(8118,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,149]) ).
thf(8119,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[8118]) ).
thf(8120,plain,
tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[8119:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(15416,plain,
( ( ( tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8120,14514]) ).
thf(15417,plain,
( ( tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15416]) ).
thf(15469,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 )
!= sk1 ) ),
inference(simp,[status(thm)],[15417]) ).
thf(15502,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 )
!= sk1 ),
inference(simp,[status(thm)],[15469]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ root ) )
| ~ ( A @ legal )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(14257,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk12 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,1548]) ).
thf(14258,plain,
( ( tptp0 @ sk12 @ activity_occurrence )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14257:[bind(A,$thf( sk1 ))]]) ).
thf(18897,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17490,10344]) ).
thf(18898,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[18897]) ).
thf(18899,plain,
~ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[18898:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 ))]]) ).
thf(26625,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,154]) ).
thf(26626,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26625]) ).
thf(26627,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26626:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(25665,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,1164]) ).
thf(25666,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence ) ),
inference(simp,[status(thm)],[25665]) ).
thf(25667,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[25666:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(27763,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25667,217]) ).
thf(27764,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[27763]) ).
thf(27765,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[27764:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 ))]]) ).
thf(26567,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24806,172]) ).
thf(26568,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[26567]) ).
thf(26569,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26568:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(27062,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26569,217]) ).
thf(27063,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[27062]) ).
thf(27064,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[27063:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) ))]]) ).
thf(13956,plain,
! [A: $i] :
( ( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ~ $true
| ( tptp0 = A ) ),
inference(paramod_ordered,[status(thm)],[1783,10588]) ).
thf(13957,plain,
! [A: $i] :
( ( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 = A ) ),
inference(simp,[status(thm)],[13956]) ).
thf(13958,plain,
( ( sk1 @ sk19 )
= tptp0 ),
inference(pattern_uni,[status(thm)],[13957:[bind(A,$thf( sk1 @ sk19 ))]]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk13 ) @ ( B @ subactivity ) )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[158]) ).
thf(25737,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24782,172]) ).
thf(25738,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[25737]) ).
thf(25739,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[25738:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(2073,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
!= ( C @ ( D @ occurrence_of ) ) )
| ( D @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(paramod_ordered,[status(thm)],[100,172]) ).
thf(2074,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
!= ( C @ ( D @ occurrence_of ) ) )
| ( D @ activity_occurrence )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(simp,[status(thm)],[2073]) ).
thf(2075,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ leaf_occ ) ) ),
inference(pattern_uni,[status(thm)],[2074:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F @ ( E @ sk4 ) )),bind(D,$thf( E ))]]) ).
thf(2119,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ leaf_occ ) ) ),
inference(simp,[status(thm)],[2075]) ).
thf(33210,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25797,11420]) ).
thf(33211,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[33210]) ).
thf(33446,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[33211]) ).
thf(33509,plain,
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 )
!= sk1 ),
inference(simp,[status(thm)],[33446]) ).
thf(16138,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14110]) ).
thf(16139,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[16138]) ).
thf(16196,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[16139]) ).
thf(16217,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[16196]) ).
thf(16849,plain,
! [A: $i] :
( ( ( tptp0 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[16217,217]) ).
thf(16850,plain,
! [A: $i] :
( ( ( tptp0 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[16849]) ).
thf(16851,plain,
( ( tptp0 @ sk19 @ activity )
| ( sk1 != tptp0 ) ),
inference(pattern_uni,[status(thm)],[16850:[bind(A,$thf( tptp0 ))]]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ precedes ) )
| ~ ( B @ legal )
| ~ ( B @ ( A @ earlier ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ precedes ) )
| ~ ( B @ legal )
| ~ ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(38303,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14312]) ).
thf(38304,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[38303]) ).
thf(38388,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[38304]) ).
thf(38413,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[38388]) ).
thf(1949,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1788,154]) ).
thf(1950,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1949]) ).
thf(1958,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk10 )
!= A )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1950]) ).
thf(1969,plain,
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( tptp4 @ ( sk1 @ sk10 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1958]) ).
thf(14289,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk11 ) )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,11729]) ).
thf(14290,plain,
( ( sk1 != tptp0 )
| ~ ( sk1 @ sk11 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14289:[bind(A,$thf( sk1 @ sk11 ))]]) ).
thf(27355,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,181]) ).
thf(27356,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( C @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[27355]) ).
thf(27357,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ ( sk1 @ sk12 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[27356:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(34764,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26562,14514]) ).
thf(34765,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[34764]) ).
thf(34818,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 )
!= sk1 ) ),
inference(simp,[status(thm)],[34765]) ).
thf(34863,plain,
( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk10 )
!= sk1 ),
inference(simp,[status(thm)],[34818]) ).
thf(21866,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21413,78]) ).
thf(21867,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[21866]) ).
thf(21868,plain,
sk1 @ sk12 @ ( sk1 @ sk11 @ earlier ),
inference(pattern_uni,[status(thm)],[21867:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(22304,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ earlier ) )
!= ( A @ ( A @ earlier ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21868,311]) ).
thf(22305,plain,
! [A: $i] :
( ( sk1 @ sk12 @ ( sk1 @ sk11 @ earlier ) )
!= ( A @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[22304]) ).
thf(22370,plain,
! [A: $i] :
( ( ( sk1 @ sk12 )
!= A )
| ( ( sk1 @ sk11 )
!= A ) ),
inference(simp,[status(thm)],[22305]) ).
thf(22382,plain,
( ( sk1 @ sk12 )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[22370]) ).
thf(43605,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( tptp0 @ occurrence_of ) ) )
| ( ( tptp0 @ sk12 )
!= sk1 )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[38413,29593]) ).
thf(43606,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( tptp0 @ occurrence_of ) ) )
| ( ( tptp0 @ sk12 )
!= sk1 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[43605]) ).
thf(43712,plain,
( ( sk1 != tptp0 )
| ( sk1 != tptp0 )
| ( ( tptp0 @ sk12 )
!= sk1 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[43606]) ).
thf(43746,plain,
( ( ( tptp0 @ sk12 )
!= sk1 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[43712]) ).
thf(29691,plain,
( ( ( sk1 @ sk12 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[21960,29397]) ).
thf(29692,plain,
( ( ( sk1 @ sk12 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[29691]) ).
thf(29842,plain,
( ( ( sk1 @ sk12 )
!= tptp0 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[29692]) ).
thf(17702,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17446,218]) ).
thf(17703,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17702]) ).
thf(17704,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[17703:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(41392,plain,
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17704,17556]) ).
thf(41393,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[41392]) ).
thf(41701,plain,
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 )
!= tptp4 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) )
!= ( tptp0 @ ( sk1 @ sk10 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[41393]) ).
thf(41808,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk19 )
!= tptp4 ),
inference(simp,[status(thm)],[41701]) ).
thf(229,plain,
! [A: $i,B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( D @ ( C @ subactivity_occurrence ) )
& ~ ( A @ atomic )
& ( B @ ( D @ occurrence_of ) ) )
& ( A @ ( C @ occurrence_of ) ) )
=> ( B @ ( A @ subactivity ) ) ),
inference(miniscope,[status(thm)],[228]) ).
thf(230,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ subactivity ) )
| ~ ( D @ ( C @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ),
inference(cnf,[status(esa)],[229]) ).
thf(14047,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,11420]) ).
thf(14048,plain,
( ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14047:[bind(A,$thf( sk1 ))]]) ).
thf(140,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ ( C @ ( D @ sk8 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[139]) ).
thf(1323,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1275,89]) ).
thf(1324,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1323]) ).
thf(1325,plain,
sk1 @ sk11 @ sk19 @ ( sk1 @ sk11 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1324:[bind(A,$thf( sk1 @ sk11 @ sk19 ))]]) ).
thf(19052,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk12 @ leaf_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,151]) ).
thf(19053,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk12 @ leaf_occ ) ) ),
inference(simp,[status(thm)],[19052]) ).
thf(19054,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ leaf_occ ),
inference(pattern_uni,[status(thm)],[19053:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(21057,plain,
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[765,14048]) ).
thf(21058,plain,
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21057]) ).
thf(21220,plain,
( ( tptp4 != tptp4 )
| ( ( sk1 @ sk11 )
!= tptp0 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21058]) ).
thf(21259,plain,
( ( ( sk1 @ sk11 )
!= tptp0 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21220]) ).
thf(212,plain,
tptp4 != tptp3,
inference(polarity_switch,[status(thm)],[211]) ).
thf(213,plain,
tptp4 != tptp3,
inference(lifteq,[status(thm)],[212]) ).
thf(5284,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5230,218]) ).
thf(5285,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[5284]) ).
thf(5286,plain,
tptp0 @ ( sk1 @ sk6 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk6 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[5285:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 ) ))]]) ).
thf(8278,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8114,217]) ).
thf(8279,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[8278]) ).
thf(8280,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[8279:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 ))]]) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( D @ min_precedes ) ) )
| ~ ( C @ ( D @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ next_subocc ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(42003,plain,
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42002,21439]) ).
thf(42004,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) ),
inference(simp,[status(thm)],[42003]) ).
thf(42139,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )
!= ( sk1 @ sk12 ) ) ),
inference(simp,[status(thm)],[42004]) ).
thf(42147,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk6 ) )
!= ( sk1 @ sk12 ) ),
inference(simp,[status(thm)],[42139]) ).
thf(31510,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,196]) ).
thf(31511,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[31510]) ).
thf(31512,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk15 ) ) @ ( sk1 @ sk10 @ atocc ),
inference(pattern_uni,[status(thm)],[31511:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(998,plain,
! [A: $i] :
( ( ( tptp3 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[902,89]) ).
thf(999,plain,
! [A: $i] :
( ( ( tptp3 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[998]) ).
thf(1000,plain,
tptp3 @ ( tptp3 @ subactivity ),
inference(pattern_uni,[status(thm)],[999:[bind(A,$thf( tptp3 ))]]) ).
thf(297,plain,
( ~ $true
| ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(eqfactor_ordered,[status(thm)],[266]) ).
thf(299,plain,
( ( ( tptp1 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) )
| ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[297]) ).
thf(12234,plain,
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8163,11385]) ).
thf(12235,plain,
( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[12234]) ).
thf(12306,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ) ) ),
inference(simp,[status(thm)],[12235]) ).
thf(12326,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk11 )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ) ),
inference(simp,[status(thm)],[12306]) ).
thf(29590,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk12 ) )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,29422]) ).
thf(29591,plain,
( ( sk1 != tptp0 )
| ~ ( sk1 @ sk12 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[29590:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(678,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[72,208]) ).
thf(679,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[678]) ).
thf(680,plain,
! [B: $i,A: $i] :
~ ( tptp4 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[679:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp4 ))]]) ).
thf(11936,plain,
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,11400]) ).
thf(11937,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[11936]) ).
thf(12038,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[11937]) ).
thf(12048,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[12038]) ).
thf(8158,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8104,150]) ).
thf(8159,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) ) ),
inference(simp,[status(thm)],[8158]) ).
thf(8160,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ root_occ ),
inference(pattern_uni,[status(thm)],[8159:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ))]]) ).
thf(21403,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ $true
| ~ ( B @ ( A @ leaf ) ) ),
inference(paramod_ordered,[status(thm)],[21267,202]) ).
thf(21404,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(simp,[status(thm)],[21403]) ).
thf(21405,plain,
~ ( tptp0 @ ( sk1 @ sk11 @ leaf ) ),
inference(pattern_uni,[status(thm)],[21404:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( tptp0 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ root_occ ) )
| ~ ( C @ ( A @ root ) )
| ~ ( B @ ( A @ subactivity_occurrence ) )
| ~ ( C @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[107]) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ root_occ ) )
| ~ ( C @ ( A @ root ) )
| ~ ( B @ ( A @ subactivity_occurrence ) )
| ~ ( C @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[111]) ).
thf(39435,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[38413,1164]) ).
thf(39436,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk11 @ activity_occurrence )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[39435]) ).
thf(39437,plain,
( ( tptp0 @ sk11 @ activity_occurrence )
| ( sk1 != tptp0 ) ),
inference(pattern_uni,[status(thm)],[39436:[bind(A,$thf( tptp0 ))]]) ).
thf(25135,plain,
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21436,20290]) ).
thf(25136,plain,
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk11 @ root ) ) ),
inference(simp,[status(thm)],[25135]) ).
thf(25234,plain,
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[25136]) ).
thf(25238,plain,
( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[25234]) ).
thf(17485,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,150]) ).
thf(17486,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk10 @ root_occ ) ) ),
inference(simp,[status(thm)],[17485]) ).
thf(17487,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk10 @ root_occ ),
inference(pattern_uni,[status(thm)],[17486:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( B @ precedes ) )
& ( D @ ( C @ ( A @ min_precedes ) ) )
& ( D @ ( B @ ( A @ min_precedes ) ) ) )
=> ( D @ ( C @ ( B @ min_precedes ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
thf(209,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( B @ precedes ) )
& ( D @ ( C @ ( A @ min_precedes ) ) )
& ( D @ ( B @ ( A @ min_precedes ) ) ) )
=> ( D @ ( C @ ( B @ min_precedes ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(31493,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,196]) ).
thf(31494,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[31493]) ).
thf(31495,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk15 ) ) @ ( sk1 @ sk11 @ atocc ),
inference(pattern_uni,[status(thm)],[31494:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( C @ ( A @ earlier ) )
| ( A @ ( C @ earlier ) )
| ~ ( B @ ( C @ earlier ) )
| ~ ( B @ ( A @ earlier ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ earlier ) )
| ( A @ ( C @ earlier ) )
| ~ ( B @ ( C @ earlier ) )
| ~ ( B @ ( A @ earlier ) )
| ( A = C ) ),
inference(lifteq,[status(thm)],[62]) ).
thf(20565,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20264,78]) ).
thf(20566,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[20565]) ).
thf(20567,plain,
sk1 @ sk11 @ ( sk1 @ sk10 @ earlier ),
inference(pattern_uni,[status(thm)],[20566:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(20822,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20567,60]) ).
thf(20823,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[20822]) ).
thf(20824,plain,
~ ( sk1 @ sk10 @ ( sk1 @ sk11 @ earlier ) ),
inference(pattern_uni,[status(thm)],[20823:[bind(A,$thf( sk1 @ sk10 )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(35796,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26627,11420]) ).
thf(35797,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[35796]) ).
thf(36049,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 )
!= sk1 ) ),
inference(simp,[status(thm)],[35797]) ).
thf(36107,plain,
( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 )
!= sk1 ),
inference(simp,[status(thm)],[36049]) ).
thf(18729,plain,
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17490,11385]) ).
thf(18730,plain,
( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[18729]) ).
thf(18923,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) )
!= ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 ) ) ),
inference(simp,[status(thm)],[18730]) ).
thf(18957,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) )
!= ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 ) ),
inference(simp,[status(thm)],[18923]) ).
thf(26166,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25739,217]) ).
thf(26167,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[26166]) ).
thf(26168,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[26167:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) ))]]) ).
thf(26843,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,15282]) ).
thf(26844,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26843]) ).
thf(27013,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26844]) ).
thf(27036,plain,
( ( sk1 != tptp0 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27013]) ).
thf(30124,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,194]) ).
thf(30125,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[30124]) ).
thf(30126,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk15 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[30125:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(17413,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17391,11400]) ).
thf(17414,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[17413]) ).
thf(17571,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) )
!= ( sk1 @ sk11 ) ) ),
inference(simp,[status(thm)],[17414]) ).
thf(17584,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) )
!= ( sk1 @ sk11 ) ),
inference(simp,[status(thm)],[17571]) ).
thf(2313,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(paramod_ordered,[status(thm)],[101,84]) ).
thf(2314,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( C @ activity_occurrence )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(simp,[status(thm)],[2313]) ).
thf(2315,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(pattern_uni,[status(thm)],[2314:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(42795,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19054,2315]) ).
thf(42796,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ leaf_occ ) )
!= ( B @ ( A @ leaf_occ ) ) )
| ( A @ activity_occurrence ) ),
inference(simp,[status(thm)],[42795]) ).
thf(42797,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[42796:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 )),bind(B,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) ))]]) ).
thf(1926,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1788,1162]) ).
thf(1927,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1926]) ).
thf(1961,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk10 )
!= A )
| ( A @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1927]) ).
thf(1972,plain,
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( sk1 @ sk10 @ sk10 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1961]) ).
thf(906,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[765,171]) ).
thf(907,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity ) ),
inference(simp,[status(thm)],[906]) ).
thf(908,plain,
tptp4 @ activity,
inference(pattern_uni,[status(thm)],[907:[bind(A,$thf( tptp4 )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(1006,plain,
! [A: $i] :
( ( ( tptp4 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[908,89]) ).
thf(1007,plain,
! [A: $i] :
( ( ( tptp4 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1006]) ).
thf(1008,plain,
tptp4 @ ( tptp4 @ subactivity ),
inference(pattern_uni,[status(thm)],[1007:[bind(A,$thf( tptp4 ))]]) ).
thf(29390,plain,
( ( ( tptp0 @ sk10 @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[24730,29387]) ).
thf(29391,plain,
( ( ( tptp0 @ sk10 @ arboreal )
!= ( sk1 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29390]) ).
thf(29423,plain,
( ( ( tptp0 @ sk10 )
!= sk1 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29391]) ).
thf(1141,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[905,172]) ).
thf(1142,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1141]) ).
thf(1143,plain,
( ( sk1 @ sk12 @ activity_occurrence )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1142:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(1392,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[1143,217]) ).
thf(1393,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1392]) ).
thf(1394,plain,
( ( sk1 @ sk12 @ sk19 @ activity )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1393:[bind(A,$thf( sk1 @ sk12 ))]]) ).
thf(1419,plain,
( ~ $true
| ( ( sk1 @ sk12 @ sk19 @ activity )
!= ( tptp1 @ activity ) )
| ( tptp1 @ activity ) ),
inference(eqfactor_ordered,[status(thm)],[1394]) ).
thf(1421,plain,
( ( ( sk1 @ sk12 @ sk19 )
!= tptp1 )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1419]) ).
thf(21063,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14048]) ).
thf(21064,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21063]) ).
thf(21191,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21064]) ).
thf(21250,plain,
( ( sk1 != tptp0 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21191]) ).
thf(21741,plain,
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[765,21250]) ).
thf(21742,plain,
( ( ( tptp4 @ ( sk1 @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[21741]) ).
thf(21827,plain,
( ( tptp4 != tptp4 )
| ( ( sk1 @ sk11 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[21742]) ).
thf(21860,plain,
( ( ( sk1 @ sk11 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[21827]) ).
thf(23958,plain,
( ( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20287,21439]) ).
thf(23959,plain,
( ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) ),
inference(simp,[status(thm)],[23958]) ).
thf(24086,plain,
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk12 ) ) ),
inference(simp,[status(thm)],[23959]) ).
thf(24092,plain,
( ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk12 ) ),
inference(simp,[status(thm)],[24086]) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ leaf_occ ) )
| ~ ( C @ ( A @ leaf ) )
| ~ ( B @ ( A @ subactivity_occurrence ) )
| ~ ( C @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ leaf_occ ) )
| ~ ( C @ ( A @ leaf ) )
| ~ ( B @ ( A @ subactivity_occurrence ) )
| ~ ( C @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[103]) ).
thf(43140,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42797,217]) ).
thf(43141,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[43140]) ).
thf(43142,plain,
tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[43141:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk12 ))]]) ).
thf(18740,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17490,17556]) ).
thf(18741,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[18740]) ).
thf(18904,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 )
!= ( tptp0 @ ( sk1 @ sk10 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[18741]) ).
thf(18943,plain,
( ( tptp0 @ ( sk1 @ sk10 @ sk3 ) @ sk11 )
!= ( tptp0 @ ( sk1 @ sk10 @ sk3 ) ) ),
inference(simp,[status(thm)],[18904]) ).
thf(10819,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8129,217]) ).
thf(10820,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[10819]) ).
thf(10821,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[10820:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk10 ))]]) ).
thf(31906,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,197]) ).
thf(31907,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) ) ),
inference(simp,[status(thm)],[31906]) ).
thf(31908,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk16 ) ) @ ( sk1 @ sk12 @ atocc ),
inference(pattern_uni,[status(thm)],[31907:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(33413,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25797,10344]) ).
thf(33414,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[33413]) ).
thf(33415,plain,
~ ( tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[33414:[bind(A,$thf( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ sk11 ))]]) ).
thf(25106,plain,
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21436,21439]) ).
thf(25107,plain,
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk12 @ root ) ) ),
inference(simp,[status(thm)],[25106]) ).
thf(25233,plain,
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk12 ) ) ),
inference(simp,[status(thm)],[25107]) ).
thf(25237,plain,
( ( sk1 @ sk11 @ ( sk1 @ sk12 @ ( tptp0 @ sk9 ) ) )
!= ( sk1 @ sk12 ) ),
inference(simp,[status(thm)],[25233]) ).
thf(30768,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,195]) ).
thf(30769,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk16 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[30768]) ).
thf(30770,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk16 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[30769:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(20260,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,15674]) ).
thf(20261,plain,
! [A: $i] :
( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk10 @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[20260]) ).
thf(20372,plain,
! [A: $i] :
( ( tptp0 != tptp0 )
| ( ( sk1 @ sk11 )
!= ( sk1 @ sk10 ) )
| ( ( sk1 @ sk10 )
!= A ) ),
inference(simp,[status(thm)],[20261]) ).
thf(20382,plain,
( ( sk1 @ sk11 )
!= ( sk1 @ sk10 ) ),
inference(simp,[status(thm)],[20372]) ).
thf(36003,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26627,10344]) ).
thf(36004,plain,
! [A: $i] :
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ) )
!= ( tptp4 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[36003]) ).
thf(36005,plain,
~ ( tptp0 @ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[36004:[bind(A,$thf( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk14 ) ) @ sk11 ))]]) ).
thf(29869,plain,
( ( ( sk1 @ sk12 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21960,29851]) ).
thf(29870,plain,
( ( ( sk1 @ sk12 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29869]) ).
thf(29915,plain,
( ( ( sk1 @ sk12 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[29870]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ ( B @ leaf_occ ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp2 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[53]) ).
thf(3628,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( B @ ( A @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[109,84]) ).
thf(3629,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ subactivity_occurrence ) )
!= ( D @ ( C @ subactivity_occurrence ) ) )
| ( C @ activity_occurrence )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(simp,[status(thm)],[3628]) ).
thf(3630,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(pattern_uni,[status(thm)],[3629:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(21497,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ ( A @ min_precedes ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,4885]) ).
thf(21498,plain,
! [A: $i] :
( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[21497]) ).
thf(21519,plain,
! [A: $i] :
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk6 ) )
!= ( sk1 @ sk12 ) )
| ( ( sk1 @ sk11 )
!= A ) ),
inference(simp,[status(thm)],[21498]) ).
thf(21528,plain,
( ( tptp0 @ ( sk1 @ sk6 ) )
!= ( sk1 @ sk12 ) ),
inference(simp,[status(thm)],[21519]) ).
thf(118,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ( A @ ( C @ ( D @ min_precedes ) ) )
| ( A @ ( D @ ( C @ min_precedes ) ) )
| ~ ( B @ ( D @ subactivity_occurrence ) )
| ~ ( B @ ( C @ subactivity_occurrence ) )
| ~ ( D @ arboreal )
| ~ ( C @ arboreal )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnf,[status(esa)],[117]) ).
thf(119,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( D @ min_precedes ) ) )
| ( A @ ( D @ ( C @ min_precedes ) ) )
| ~ ( B @ ( D @ subactivity_occurrence ) )
| ~ ( B @ ( C @ subactivity_occurrence ) )
| ~ ( D @ arboreal )
| ~ ( C @ arboreal )
| ~ ( A @ ( B @ occurrence_of ) )
| ( C = D ) ),
inference(lifteq,[status(thm)],[118]) ).
thf(44404,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44254,60]) ).
thf(44405,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[44404]) ).
thf(44406,plain,
~ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ ( sk1 @ sk11 @ earlier ) ),
inference(pattern_uni,[status(thm)],[44405:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( sk1 @ sk11 ))]]) ).
thf(13241,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8247,11385]) ).
thf(13242,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[13241]) ).
thf(13445,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 )
!= tptp4 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) ) ) ),
inference(simp,[status(thm)],[13242]) ).
thf(13453,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 ) @ sk3 ) @ sk19 )
!= tptp4 ),
inference(simp,[status(thm)],[13445]) ).
thf(167,plain,
tptp4 != tptp2,
inference(polarity_switch,[status(thm)],[166]) ).
thf(168,plain,
tptp4 != tptp2,
inference(lifteq,[status(thm)],[167]) ).
thf(27922,plain,
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( tptp0 @ occurrence_of ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[590,15403]) ).
thf(27923,plain,
( ( ( tptp3 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp3 @ ( tptp0 @ occurrence_of ) ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27922]) ).
thf(28089,plain,
( ( tptp3 != tptp3 )
| ( ( sk1 @ sk10 )
!= tptp0 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27923]) ).
thf(28157,plain,
( ( ( sk1 @ sk10 )
!= tptp0 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[28089]) ).
thf(43821,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ $true
| ~ ( B @ ( A @ leaf ) ) ),
inference(paramod_ordered,[status(thm)],[20304,202]) ).
thf(43822,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ min_precedes ) ) )
!= ( B @ ( C @ ( A @ min_precedes ) ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(simp,[status(thm)],[43821]) ).
thf(43823,plain,
~ ( tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) @ leaf ) ),
inference(pattern_uni,[status(thm)],[43822:[bind(A,$thf( sk1 @ sk10 @ ( sk1 @ sk11 @ ( tptp0 @ sk9 ) ) )),bind(B,$thf( tptp0 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(189,plain,
tptp4 != tptp1,
inference(polarity_switch,[status(thm)],[188]) ).
thf(190,plain,
tptp4 != tptp1,
inference(lifteq,[status(thm)],[189]) ).
thf(2025,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1791,154]) ).
thf(2026,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 @ ( sk1 @ sk12 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2025]) ).
thf(2038,plain,
! [A: $i] :
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk12 )
!= A )
| ( tptp4 @ ( A @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2026]) ).
thf(2050,plain,
( ( ( sk1 @ sk12 @ sk19 )
!= tptp0 )
| ( tptp4 @ ( sk1 @ sk12 @ sk11 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2038]) ).
thf(20657,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20610,87]) ).
thf(20658,plain,
! [A: $i] :
( ( ( sk1 @ sk11 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[20657]) ).
thf(20659,plain,
sk1 @ sk11 @ arboreal,
inference(pattern_uni,[status(thm)],[20658:[bind(A,$thf( sk1 @ sk11 ))]]) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ min_precedes ) ) )
| ~ ( C @ ( B @ precedes ) )
| ~ ( D @ ( C @ ( A @ min_precedes ) ) )
| ~ ( D @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[209]) ).
thf(3954,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ subactivity_occurrence ) )
!= ( C @ ( B @ subactivity_occurrence ) ) )
| ( C @ ( A @ subactivity_occurrence ) )
| ~ $true
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(paramod_ordered,[status(thm)],[3915,74]) ).
thf(3955,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk10 @ subactivity_occurrence ) )
!= ( C @ ( B @ subactivity_occurrence ) ) )
| ( C @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[3954]) ).
thf(3956,plain,
! [A: $i] :
( ( sk1 @ ( A @ subactivity_occurrence ) )
| ~ ( sk1 @ sk10 @ ( A @ subactivity_occurrence ) ) ),
inference(pattern_uni,[status(thm)],[3955:[bind(A,$thf( A )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 ))]]) ).
thf(1919,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1788,149]) ).
thf(1920,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 @ ( sk1 @ sk10 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1919]) ).
thf(1964,plain,
! [A: $i] :
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk10 )
!= A )
| ( tptp3 @ ( A @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1920]) ).
thf(1977,plain,
( ( ( sk1 @ sk10 @ sk19 )
!= tptp0 )
| ( tptp3 @ ( sk1 @ sk10 @ sk10 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1964]) ).
thf(273,plain,
! [A: $i] :
( ~ $true
| ( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
!= ( tptp2 @ ( A @ sk12 @ occurrence_of ) ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(eqfactor_ordered,[status(thm)],[155]) ).
thf(277,plain,
! [A: $i] :
( ( ( tptp1 @ ( A @ sk12 @ occurrence_of ) )
!= ( tptp2 @ ( A @ sk12 @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ( tptp2 @ ( A @ sk12 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[273]) ).
thf(29890,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true
| ~ ( A @ legal ) ),
inference(paramod_ordered,[status(thm)],[87,29851]) ).
thf(29891,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ ( A @ legal ) ),
inference(simp,[status(thm)],[29890]) ).
thf(29892,plain,
( ( sk1 != tptp0 )
| ~ ( tptp0 @ legal ) ),
inference(pattern_uni,[status(thm)],[29891:[bind(A,$thf( tptp0 ))]]) ).
thf(31923,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19945,197]) ).
thf(31924,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk10 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) @ ( C @ atocc ) ) ),
inference(simp,[status(thm)],[31923]) ).
thf(31925,plain,
tptp0 @ ( sk1 @ sk10 @ ( sk1 @ sk11 @ sk16 ) ) @ ( sk1 @ sk11 @ atocc ),
inference(pattern_uni,[status(thm)],[31924:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk10 )),bind(C,$thf( sk1 @ sk11 ))]]) ).
thf(26097,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21267,180]) ).
thf(26098,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk12 @ ( sk1 @ sk11 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[26097]) ).
thf(26099,plain,
tptp0 @ ( sk1 @ sk11 @ ( sk1 @ sk12 @ sk14 ) ) @ ( sk1 @ sk11 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[26098:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk11 )),bind(C,$thf( sk1 @ sk12 ))]]) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ atocc ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( C @ atomic )
| ~ ( C @ ( B @ subactivity ) ) ),
inference(cnfConj,[status(thm)],[158]) ).
thf(163,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ atocc ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( C @ atomic )
| ~ ( C @ ( B @ subactivity ) ) ),
inference(simp,[status(thm)],[162]) ).
thf(226,plain,
tptp3 != tptp2,
inference(polarity_switch,[status(thm)],[225]) ).
thf(227,plain,
tptp2 != tptp3,
inference(lifteq,[status(thm)],[226]) ).
thf(22284,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21868,60]) ).
thf(22285,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk12 @ ( sk1 @ sk11 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[22284]) ).
thf(22286,plain,
~ ( sk1 @ sk11 @ ( sk1 @ sk12 @ earlier ) ),
inference(pattern_uni,[status(thm)],[22285:[bind(A,$thf( sk1 @ sk11 )),bind(B,$thf( sk1 @ sk12 ))]]) ).
thf(36822,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk12 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14258]) ).
thf(36823,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk12 @ activity_occurrence ) ),
inference(simp,[status(thm)],[36822]) ).
thf(36900,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ sk12 @ activity_occurrence ) ),
inference(simp,[status(thm)],[36823]) ).
thf(36927,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ sk12 @ activity_occurrence ) ),
inference(simp,[status(thm)],[36900]) ).
thf(27436,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) ) )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[10588,25081]) ).
thf(27437,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[27436]) ).
thf(27438,plain,
~ ( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[27437:[bind(A,$thf( sk1 @ sk10 @ ( tptp0 @ ( sk1 @ sk10 @ sk2 ) @ sk13 ) ))]]) ).
thf(47,axiom,
tptp0 @ activity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
thf(222,plain,
tptp0 @ activity,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(880,plain,
! [A: $i] :
( ( ( tptp0 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[222,89]) ).
thf(881,plain,
! [A: $i] :
( ( ( tptp0 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[880]) ).
thf(882,plain,
tptp0 @ ( tptp0 @ subactivity ),
inference(pattern_uni,[status(thm)],[881:[bind(A,$thf( tptp0 ))]]) ).
thf(64570,plain,
$false,
inference(e,[status(thm)],[25928,138,21439,8114,29424,11385,88,15526,31885,69,4188,20256,24730,25887,101,19772,8129,115,683,217,26562,29920,120,1971,677,202,15671,5292,42272,23660,1788,1275,17556,153,14347,56,26717,142,4870,1164,15282,185,17446,2046,24091,3915,15403,8224,21911,257,14292,174,5227,45154,14669,15674,184,17751,110,21960,196,35525,11458,125,902,15633,93,284,42013,18945,152,228,30134,57,78,2533,19172,14864,11740,13575,164,35225,2324,179,211,20304,27365,84,905,17403,61,221,28178,116,45547,74,206,89,133,8123,20610,38061,2047,1067,60,117,85,1306,201,220,43834,4910,102,17844,29073,1091,30778,1580,25081,160,70,42002,24157,137,165,29436,92,29593,197,65,29261,97,26107,15631,15670,25640,224,8104,11420,1089,156,21533,17578,11400,32307,20264,18613,188,21377,169,14244,14312,141,23511,686,33022,14110,1791,590,26585,1155,96,109,256,29426,20380,225,33961,42146,21267,21453,29917,173,10588,17675,44254,28450,25797,28159,129,29421,24381,134,25113,73,105,3624,205,311,1563,20290,43136,3639,14886,266,4195,8247,2057,765,45060,21380,1146,166,5230,1548,64,180,19017,29397,149,42214,26768,161,176,191,21413,11729,59,15502,5271,71,14258,25305,18899,26627,17458,54,4127,3695,144,27765,27064,13958,181,86,159,25739,187,2119,33509,172,219,16851,81,19945,38413,1969,14290,27357,113,17490,34863,8120,22382,43746,29842,41808,230,14048,208,140,66,1325,29422,155,198,108,19054,21259,213,1162,5286,8280,130,14115,223,135,16217,42147,31512,1000,299,23449,12326,29591,26569,680,12048,8160,21405,112,39437,25238,255,17487,17704,209,4879,24806,123,194,145,20080,31495,63,150,95,8163,20824,13573,36107,18957,26168,14319,20287,25732,1262,27036,177,182,19465,30126,17584,14321,42797,154,1972,72,1008,45165,29423,24782,1421,21860,23965,24092,218,104,15672,43142,24399,17391,87,18943,1817,4873,10821,31908,29406,258,186,33415,25237,171,30770,20382,36005,29915,55,3630,75,29387,14246,207,21528,25755,2315,15508,82,214,119,58,151,44406,13453,20567,168,146,28157,51,43823,190,2050,4885,20659,210,3956,126,79,195,17443,29851,21436,1977,14514,1152,26497,68,277,29892,31925,21250,14256,908,25667,26099,4936,163,90,227,122,22286,36927,27438,10344,215,222,21868,882,12047,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO009+1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.12/0.39 % Computer : n012.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 04:57:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.73/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/1.06 % [INFO] Parsing done (182ms).
% 1.14/1.07 % [INFO] Running in sequential loop mode.
% 1.88/1.40 % [INFO] eprover registered as external prover.
% 1.88/1.40 % [INFO] Scanning for conjecture ...
% 2.06/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 2.06/1.57 % [INFO] Axiom selection finished. Selected 48 axioms (removed 0 axioms).
% 2.29/1.64 % [INFO] Problem is first-order (TPTP FOF).
% 2.29/1.65 % [INFO] Type checking passed.
% 2.29/1.65 % [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 ...
% 87.13/21.33 % External prover 'e' found a proof!
% 87.13/21.33 % [INFO] Killing All external provers ...
% 87.13/21.33 % Time passed: 20821ms (effective reasoning time: 20260ms)
% 87.13/21.33 % 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)>
% 87.13/21.33 % Axioms used in derivation (48): sos_42, sos_05, sos_40, sos_02, sos_38, sos_28, sos_44, sos_36, sos_32, sos_01, sos_30, sos_34, sos_20, sos_37, sos_16, sos_45, sos_27, sos_41, sos_17, sos_23, sos_12, sos_06, sos_11, sos_25, sos_22, sos_09, sos_35, sos_03, sos_33, sos_24, sos_07, sos_39, sos_29, sos_18, sos_13, sos_46, sos, sos_31, sos_26, sos_15, sos_04, sos_10, sos_43, sos_21, sos_19, sos_08, sos_47, sos_14
% 87.13/21.33 % No. of inferences in proof: 1188
% 87.13/21.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 20821 ms resp. 20260 ms w/o parsing
% 85.26/21.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 85.26/21.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------