%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PRO012+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n026.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 08:20:35 AM UTC 2026
% Result : Theorem 186.24s 46.23s
% Output : Refutation 177.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 67
% Syntax : Number of formulae : 1005 ( 252 unt; 0 typ; 18 def)
% Number of atoms : 3381 ( 724 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 10015 (1358 ~;1164 |; 242 &;7143 @)
% ( 7 <=>; 101 =>; 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 : 43 ( 40 usr; 8 con; 0-4 aty)
% Number of variables : 1257 ( 36 ^;1128 !; 75 ?;1257 :)
% ( 0 !>; 0 ?*; 0 @-; 18 @+)
% 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(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_occ_decl,type,
leaf_occ: $i > $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 ).
thf(sk6_decl,type,
sk6: $i > $i ).
thf(sk7_decl,type,
sk7: $i > $i ).
thf(sk8_decl,type,
sk8: $i > $i > $i ).
thf(sk9_decl,type,
sk9: $i > $i > $i ).
thf(sk10_decl,type,
sk10: $i > $i > $i > $i ).
thf(sk11_decl,type,
sk11: $i > $i > $i > $i > $i ).
thf(sk12_decl,type,
sk12: $i > $i > $i ).
thf(sk13_decl,type,
sk13: $i > $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 ).
thf(sk17_decl,type,
sk17: $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] :
( ( 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] :
( ? [D: $i] :
( ! [E: $i] :
( ( tptp0 @ ( E @ ( B @ min_precedes ) ) )
=> ( ( E = D )
| ( E = C ) ) )
& ( tptp0 @ ( D @ ( C @ min_precedes ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( tptp4 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] :
( ? [C: $i] :
( ! [D: $i] :
( ( tptp0 @ ( D @ ( A @ sk5 @ min_precedes ) ) )
=> ( ( D = C )
| ( D = B ) ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) ) )
& ( tptp0 @ ( B @ ( A @ sk5 @ min_precedes ) ) )
& ( tptp4 @ ( B @ occurrence_of ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [A: $i] :
@+[B: $i] :
( ! [C: $i] :
( ( tptp0 @ ( C @ ( A @ sk5 @ min_precedes ) ) )
=> ( ( C = B )
| ( C
= ( A @ sk6 ) ) ) )
& ( tptp0 @ ( B @ ( A @ sk6 @ min_precedes ) ) )
& ( ( tptp1 @ ( B @ occurrence_of ) )
| ( tptp2 @ ( B @ occurrence_of ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( B @ root ) )
& ( A @ ( B @ subactivity_occurrence ) )
& ( C @ ( A @ occurrence_of ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( A @ ( C @ subactivity_occurrence ) )
& ( B @ ( C @ root ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( A @ ( B @ ( D @ min_precedes ) ) )
& ( A @ ( D @ ( C @ min_precedes ) ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: $i] :
( ~ ( B @ ( E @ subactivity_occurrence ) )
& ( A @ ( E @ subactivity_occurrence ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( C @ ( B @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( A @ subactivity ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( D @ ( A @ subactivity_occurrence ) )
& ( D @ ( B @ subactivity_occurrence ) )
& ( C @ ( D @ occurrence_of ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ? [E: $i] :
( ( E @ ( A @ atocc ) )
& ( D @ ( B @ atocc ) )
& ( C @ ( E @ subactivity ) ) )
& ( C @ ( D @ subactivity ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
( ( D @ ( A @ atocc ) )
& ( C @ ( B @ ( A @ sk14 ) ) @ ( B @ atocc ) )
& ( C @ ( D @ subactivity ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ min_precedes ) ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [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(7,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ root ) )
=> ? [C: $i] :
( ( C @ ( B @ atocc ) )
& ( A @ ( C @ subactivity ) ) ) ),
file('/export/starexec/sandbox/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(13,axiom,
! [A: $i] :
( ( A @ legal )
=> ( A @ arboreal ) ),
file('/export/starexec/sandbox/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(1,conjecture,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i] :
( ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( ( tptp1 @ ( C @ occurrence_of ) )
| ( tptp2 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i] :
( ( 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] :
( ( 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] :
( ( 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] :
( ( ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) )
& ( ~ ( 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(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ occurrence_of ) )
=> ( ( A @ arboreal )
<=> ( B @ atomic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
thf(181,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(182,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)],[181]) ).
thf(183,plain,
! [B: $i,A: $i] :
( ( B @ atomic )
| ~ ( A @ arboreal )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[182]) ).
thf(30483,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ( B @ atomic )
| ~ ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,183]) ).
thf(30484,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( B @ ( A @ occurrence_of ) ) )
| ( B @ atomic )
| ~ ( A @ arboreal ) ),
inference(simp,[status(thm)],[30483]) ).
thf(30485,plain,
( ( tptp0 @ atomic )
| ~ ( sk1 @ arboreal ) ),
inference(pattern_uni,[status(thm)],[30484:[bind(A,$thf( sk1 )),bind(B,$thf( tptp0 ))]]) ).
thf(46,axiom,
~ ( tptp0 @ atomic ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
thf(221,plain,
~ ( tptp0 @ atomic ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(222,plain,
~ ( tptp0 @ atomic ),
inference(polarity_switch,[status(thm)],[221]) ).
thf(31695,plain,
( $false
| ~ ( sk1 @ arboreal ) ),
inference(rewrite,[status(thm)],[30485,222]) ).
thf(31696,plain,
~ ( sk1 @ arboreal ),
inference(simp,[status(thm)],[31695]) ).
thf(31718,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true
| ~ ( A @ legal ) ),
inference(paramod_ordered,[status(thm)],[87,31696]) ).
thf(31719,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ ( A @ legal ) ),
inference(simp,[status(thm)],[31718]) ).
thf(31720,plain,
~ ( sk1 @ legal ),
inference(pattern_uni,[status(thm)],[31719:[bind(A,$thf( sk1 ))]]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
thf(136,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(137,plain,
! [A: $i,B: $i] :
( ? [C: $i] : ( C @ ( B @ ( A @ min_precedes ) ) )
=> ( B @ ( A @ precedes ) ) ),
inference(miniscope,[status(thm)],[136]) ).
thf(138,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ precedes ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[137]) ).
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/sandbox/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(21,axiom,
! [A: $i,B: $i] :
( ( ~ ( A @ atomic )
& ( A @ ( B @ occurrence_of ) ) )
=> ? [C: $i] :
( ( B @ ( C @ subactivity_occurrence ) )
& ( A @ ( C @ root ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
thf(126,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)],[21]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ ( B @ sk9 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) )
& ( ( A @ ( A @ ( B @ sk9 ) @ root ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[126]) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ ( B @ sk9 ) @ root ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[127]) ).
thf(6647,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk9 ) @ root ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,128]) ).
thf(6648,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ ( A @ ( B @ sk9 ) @ root ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[6647]) ).
thf(6649,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[6648:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(6718,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
| $false ),
inference(rewrite,[status(thm)],[6649,222]) ).
thf(6719,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ),
inference(simp,[status(thm)],[6718]) ).
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/sandbox/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(6753,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,95]) ).
thf(6754,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[6753]) ).
thf(6755,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[6754:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(10418,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
| $false ),
inference(rewrite,[status(thm)],[6755,222]) ).
thf(10419,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ),
inference(simp,[status(thm)],[10418]) ).
thf(19,axiom,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( tptp0 @ ( E @ ( B @ min_precedes ) ) )
=> ( ( E = D )
| ( E = C ) ) )
& ( tptp0 @ ( D @ ( C @ min_precedes ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( tptp4 @ ( C @ occurrence_of ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
thf(107,plain,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( tptp0 @ ( E @ ( B @ min_precedes ) ) )
=> ( ( E = D )
| ( E = C ) ) )
& ( tptp0 @ ( D @ ( C @ min_precedes ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( tptp4 @ ( C @ occurrence_of ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(108,plain,
! [A: $i] :
( ( tptp0 @ ( A @ occurrence_of ) )
=> ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ! [E: $i] :
( ( tptp0 @ ( E @ ( B @ min_precedes ) ) )
=> ( ( E = D )
| ( E = C ) ) )
& ( tptp0 @ ( D @ ( C @ min_precedes ) ) )
& ( ( tptp1 @ ( D @ occurrence_of ) )
| ( tptp2 @ ( D @ occurrence_of ) ) ) )
& ( tptp0 @ ( C @ ( B @ min_precedes ) ) )
& ( tptp4 @ ( C @ occurrence_of ) ) )
& ( A @ ( B @ root_occ ) )
& ( tptp3 @ ( B @ occurrence_of ) ) ) ),
inference(miniscope,[status(thm)],[107]) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( ( B
= ( A @ sk7 ) )
| ( B
= ( A @ sk6 ) )
| ~ ( tptp0 @ ( B @ ( A @ sk5 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp0 @ ( A @ sk7 @ ( A @ sk6 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp1 @ ( A @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk7 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( A @ ( A @ sk5 @ root_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) )
& ( ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[108]) ).
thf(112,plain,
! [A: $i] :
( ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(10493,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,112]) ).
thf(10494,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[10493]) ).
thf(10495,plain,
tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[10494:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ root ) )
=> ( A @ legal ) ),
file('/export/starexec/sandbox/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(6731,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,92]) ).
thf(6732,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[6731]) ).
thf(6733,plain,
tptp0 @ ( sk1 @ sk9 ) @ legal,
inference(pattern_uni,[status(thm)],[6732:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) )),bind(B,$thf( tptp0 ))]]) ).
thf(6789,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6733,87]) ).
thf(6790,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[6789]) ).
thf(6791,plain,
tptp0 @ ( sk1 @ sk9 ) @ arboreal,
inference(pattern_uni,[status(thm)],[6790:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(31697,plain,
( ( ( tptp0 @ ( sk1 @ sk9 ) @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6791,31696]) ).
thf(31698,plain,
( ( tptp0 @ ( sk1 @ sk9 ) @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[31697]) ).
thf(31725,plain,
( ( tptp0 @ ( sk1 @ sk9 ) )
!= sk1 ),
inference(simp,[status(thm)],[31698]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ occurrence_of ) )
& ( B @ ( A @ occurrence_of ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
thf(133,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)],[23]) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnf,[status(esa)],[133]) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ occurrence_of ) )
| ( B = C ) ),
inference(lifteq,[status(thm)],[134]) ).
thf(12286,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( C @ ( A @ occurrence_of ) ) )
| ~ $true
| ~ ( B @ ( A @ occurrence_of ) )
| ( B = C ) ),
inference(paramod_ordered,[status(thm)],[54,135]) ).
thf(12287,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( C @ ( A @ occurrence_of ) ) )
| ~ ( B @ ( A @ occurrence_of ) )
| ( B = C ) ),
inference(simp,[status(thm)],[12286]) ).
thf(12288,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ occurrence_of ) )
| ( A = tptp0 ) ),
inference(pattern_uni,[status(thm)],[12287:[bind(A,$thf( sk1 )),bind(B,$thf( B )),bind(C,$thf( tptp0 ))]]) ).
thf(13365,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ occurrence_of ) )
| ( A = tptp0 ) ),
inference(simp,[status(thm)],[12288]) ).
thf(6720,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,69]) ).
thf(6721,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[6720]) ).
thf(6722,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk9 ) @ atocc ),
inference(pattern_uni,[status(thm)],[6721:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ atocc ) )
<=> ? [C: $i] :
( ( C @ ( A @ occurrence_of ) )
& ( C @ atomic )
& ( C @ ( B @ subactivity ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
thf(155,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(156,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)],[155]) ).
thf(157,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 @ sk12 ) @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ atocc ) ) )
& ( ( A @ ( B @ sk12 ) @ atomic )
| ~ ( B @ ( A @ atocc ) ) )
& ( ( A @ ( B @ sk12 ) @ ( B @ subactivity ) )
| ~ ( B @ ( A @ atocc ) ) ) ),
inference(cnf,[status(esa)],[156]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk12 ) @ atomic )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[157]) ).
thf(21821,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk9 ) @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6722,159]) ).
thf(21822,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ ( tptp0 @ ( sk1 @ sk9 ) @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[21821]) ).
thf(21823,plain,
tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[21822:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) ))]]) ).
thf(24079,plain,
( ( ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21823,222]) ).
thf(24080,plain,
( ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[24079]) ).
thf(24081,plain,
( ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) )
!= tptp0 ),
inference(simp,[status(thm)],[24080]) ).
thf(24979,plain,
! [A: $i] :
( ( A
!= ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) ) )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,24081]) ).
thf(24980,plain,
! [A: $i] :
( ( A
!= ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[24979]) ).
thf(24981,plain,
~ ( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[24980:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ sk12 ) ))]]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ activity )
=> ( A @ ( A @ subactivity ) ) ),
file('/export/starexec/sandbox/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(9,axiom,
tptp4 @ atomic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
thf(72,plain,
tptp4 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ atomic ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
thf(206,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ atomic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(207,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ atomic )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[206]) ).
thf(1029,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[72,207]) ).
thf(1030,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[1029]) ).
thf(1031,plain,
! [B: $i,A: $i] :
~ ( tptp4 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[1030:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp4 ))]]) ).
thf(110,plain,
! [A: $i] :
( ( A @ ( A @ sk5 @ root_occ ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(3464,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,110]) ).
thf(3465,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3464]) ).
thf(3466,plain,
sk1 @ ( sk1 @ sk5 @ root_occ ),
inference(pattern_uni,[status(thm)],[3465:[bind(A,$thf( sk1 ))]]) ).
thf(20,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/sandbox/benchmark/theBenchmark.p',sos_33) ).
thf(118,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)],[20]) ).
thf(119,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)],[118]) ).
thf(120,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 @ sk8 ) @ ( A @ root ) )
| ~ ( B @ ( A @ root_occ ) ) )
& ( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ root_occ ) ) )
& ( ( A @ ( B @ sk8 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ root_occ ) ) ) ),
inference(cnf,[status(esa)],[119]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk8 ) @ ( A @ root ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[120]) ).
thf(5954,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk8 ) @ ( A @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3466,123]) ).
thf(5955,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk8 ) @ ( A @ root ) ) ),
inference(simp,[status(thm)],[5954]) ).
thf(5956,plain,
sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ),
inference(pattern_uni,[status(thm)],[5955:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 ))]]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk8 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[120]) ).
thf(5389,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk8 ) @ ( B @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3466,121]) ).
thf(5390,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( A @ ( B @ sk8 ) @ ( B @ occurrence_of ) ) ),
inference(simp,[status(thm)],[5389]) ).
thf(5391,plain,
sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[5390:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 ))]]) ).
thf(15295,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ~ $true
| ( A = tptp0 ) ),
inference(paramod_ordered,[status(thm)],[5391,13365]) ).
thf(15296,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ( A = tptp0 ) ),
inference(simp,[status(thm)],[15295]) ).
thf(15297,plain,
( ( sk1 @ sk5 @ ( sk1 @ sk8 ) )
= tptp0 ),
inference(pattern_uni,[status(thm)],[15296:[bind(A,$thf( sk1 @ sk5 @ ( sk1 @ sk8 ) ))]]) ).
thf(17030,plain,
tptp0 @ ( sk1 @ sk5 @ root ),
inference(rewrite,[status(thm)],[5956,15297]) ).
thf(17250,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17030,95]) ).
thf(17251,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[17250]) ).
thf(17252,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[17251:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(20912,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
| $false ),
inference(rewrite,[status(thm)],[17252,222]) ).
thf(20913,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ),
inference(simp,[status(thm)],[20912]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ occurrence_of ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
thf(168,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ occurrence_of ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(169,plain,
! [B: $i,A: $i] :
( ( ( B @ activity_occurrence )
| ~ ( A @ ( B @ occurrence_of ) ) )
& ( ( A @ activity )
| ~ ( A @ ( B @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[168]) ).
thf(171,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[169]) ).
thf(21076,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,171]) ).
thf(21077,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[21076]) ).
thf(21078,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[21077:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ activity_occurrence )
=> ? [B: $i] :
( ( B @ ( A @ occurrence_of ) )
& ( B @ activity ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
thf(216,plain,
! [A: $i] :
( ( A @ activity_occurrence )
=> ? [B: $i] :
( ( B @ ( A @ occurrence_of ) )
& ( B @ activity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(217,plain,
! [A: $i] :
( ( ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ ( A @ activity_occurrence ) )
& ( ( A @ sk19 @ activity )
| ~ ( A @ activity_occurrence ) ) ),
inference(cnf,[status(esa)],[216]) ).
thf(218,plain,
! [A: $i] :
( ( A @ sk19 @ activity )
| ~ ( A @ activity_occurrence ) ),
inference(cnfConj,[status(thm)],[217]) ).
thf(21237,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21078,218]) ).
thf(21238,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[21237]) ).
thf(21239,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[21238:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(89,plain,
! [A: $i] :
( ( A @ ( A @ subactivity ) )
| ~ ( A @ activity ) ),
inference(cnf,[status(esa)],[88]) ).
thf(21484,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21239,89]) ).
thf(21485,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[21484]) ).
thf(21486,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[21485:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 ))]]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( A @ activity )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[169]) ).
thf(114,plain,
! [A: $i] :
( ( tptp1 @ ( A @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk7 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(265,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp1 @ ( A @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk7 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,114]) ).
thf(266,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp1 @ ( A @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( A @ sk7 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[265]) ).
thf(267,plain,
( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( sk1 ))]]) ).
thf(1193,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[267,171]) ).
thf(1194,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1193]) ).
thf(1195,plain,
( ( sk1 @ sk7 @ activity_occurrence )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1194:[bind(A,$thf( tptp1 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(1485,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( sk1 @ sk7 @ activity_occurrence ) ),
inference(paramod_ordered,[status(thm)],[1195,171]) ).
thf(1486,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( sk1 @ sk7 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1485]) ).
thf(1487,plain,
( ( sk1 @ sk7 @ activity_occurrence )
| ( sk1 @ sk7 @ activity_occurrence ) ),
inference(pattern_uni,[status(thm)],[1486:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(1507,plain,
sk1 @ sk7 @ activity_occurrence,
inference(simp,[status(thm)],[1487]) ).
thf(219,plain,
! [A: $i] :
( ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ ( A @ activity_occurrence ) ),
inference(cnfConj,[status(thm)],[217]) ).
thf(1743,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1507,219]) ).
thf(1744,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1743]) ).
thf(1745,plain,
sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1744:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(115,plain,
! [A: $i] :
( ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(1184,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[115,171]) ).
thf(1185,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1184]) ).
thf(1186,plain,
! [A: $i] :
( ( A @ sk6 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1185:[bind(A,$thf( D )),bind(B,$thf( tptp4 )),bind(C,$thf( D @ sk6 ))]]) ).
thf(1202,plain,
! [A: $i] :
( ( A @ sk6 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1186]) ).
thf(1864,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1745,1202]) ).
thf(1865,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1864]) ).
thf(1920,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk7 )
!= A )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1865]) ).
thf(1924,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( sk1 @ sk7 @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1920]) ).
thf(111,plain,
! [A: $i] :
( ( tptp0 @ ( A @ sk7 @ ( A @ sk6 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(3986,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk7 @ ( A @ sk6 @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,111]) ).
thf(3987,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk7 @ ( A @ sk6 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[3986]) ).
thf(3988,plain,
tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[3987:[bind(A,$thf( sk1 ))]]) ).
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/sandbox/benchmark/theBenchmark.p',sos_11) ).
thf(190,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(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(miniscope,[status(thm)],[190]) ).
thf(192,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ) ),
inference(cnf,[status(esa)],[191]) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[192]) ).
thf(36476,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,196]) ).
thf(36477,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) ) ),
inference(simp,[status(thm)],[36476]) ).
thf(36478,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) @ ( sk1 @ sk7 @ atocc ),
inference(pattern_uni,[status(thm)],[36477:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(330,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,112]) ).
thf(331,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[330]) ).
thf(332,plain,
tptp3 @ ( sk1 @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[331:[bind(A,$thf( sk1 ))]]) ).
thf(1199,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[332,171]) ).
thf(1200,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1199]) ).
thf(1201,plain,
sk1 @ sk5 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1200:[bind(A,$thf( tptp3 )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(1234,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1201,218]) ).
thf(1235,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1234]) ).
thf(1236,plain,
sk1 @ sk5 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1235:[bind(A,$thf( sk1 @ sk5 ))]]) ).
thf(1288,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1236,89]) ).
thf(1289,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1288]) ).
thf(1290,plain,
sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1289:[bind(A,$thf( sk1 @ sk5 @ sk19 ))]]) ).
thf(113,plain,
! [A: $i] :
( ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(4348,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,113]) ).
thf(4349,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[4348]) ).
thf(4350,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[4349:[bind(A,$thf( sk1 ))]]) ).
thf(193,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[192]) ).
thf(33275,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,193]) ).
thf(33276,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[33275]) ).
thf(33277,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[33276:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(992,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[267,170]) ).
thf(993,plain,
! [B: $i,A: $i] :
( ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[992]) ).
thf(994,plain,
( ( tptp1 @ activity )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[993:[bind(A,$thf( tptp1 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(1746,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1201,219]) ).
thf(1747,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1746]) ).
thf(1748,plain,
sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1747:[bind(A,$thf( sk1 @ sk5 ))]]) ).
thf(1940,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1748,1202]) ).
thf(1941,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1940]) ).
thf(1998,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk5 )
!= A )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1941]) ).
thf(2014,plain,
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( sk1 @ sk5 @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1998]) ).
thf(20935,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,110]) ).
thf(20936,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[20935]) ).
thf(20937,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ root_occ ),
inference(pattern_uni,[status(thm)],[20936:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(45,axiom,
tptp1 @ atomic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
thf(220,plain,
tptp1 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(250,plain,
( ( ( tptp1 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[220,222]) ).
thf(251,plain,
( ( tptp1 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[250]) ).
thf(257,plain,
tptp1 != tptp0,
inference(simp,[status(thm)],[251]) ).
thf(15047,plain,
! [A: $i] :
( ( A != tptp1 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,257]) ).
thf(15048,plain,
! [A: $i] :
( ( A != tptp1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15047]) ).
thf(15049,plain,
~ ( tptp1 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[15048:[bind(A,$thf( tptp1 ))]]) ).
thf(16332,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,15049]) ).
thf(16333,plain,
( ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[16332:[bind(A,$thf( sk1 ))]]) ).
thf(25739,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,16333]) ).
thf(25740,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25739]) ).
thf(25906,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25740]) ).
thf(25921,plain,
( ( sk1 != tptp0 )
| ~ ( tptp1 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[25906]) ).
thf(129,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk9 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[127]) ).
thf(7011,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ ( A @ ( B @ sk9 ) @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,129]) ).
thf(7012,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ ( A @ ( B @ sk9 ) @ subactivity_occurrence ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[7011]) ).
thf(7013,plain,
( ( sk1 @ ( tptp0 @ ( sk1 @ sk9 ) @ subactivity_occurrence ) )
| ( tptp0 @ atomic ) ),
inference(pattern_uni,[status(thm)],[7012:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(7129,plain,
( ( sk1 @ ( tptp0 @ ( sk1 @ sk9 ) @ subactivity_occurrence ) )
| $false ),
inference(rewrite,[status(thm)],[7013,222]) ).
thf(7130,plain,
sk1 @ ( tptp0 @ ( sk1 @ sk9 ) @ subactivity_occurrence ),
inference(simp,[status(thm)],[7129]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
=> ( ( B @ activity_occurrence )
& ( A @ activity_occurrence ) ) ),
file('/export/starexec/sandbox/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(7134,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( tptp0 @ ( sk1 @ sk9 ) @ subactivity_occurrence ) )
!= ( B @ ( A @ subactivity_occurrence ) ) )
| ( A @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7130,84]) ).
thf(7135,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( tptp0 @ ( sk1 @ sk9 ) @ subactivity_occurrence ) )
!= ( B @ ( A @ subactivity_occurrence ) ) )
| ( A @ activity_occurrence ) ),
inference(simp,[status(thm)],[7134]) ).
thf(7136,plain,
tptp0 @ ( sk1 @ sk9 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[7135:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) )),bind(B,$thf( sk1 ))]]) ).
thf(7200,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7136,218]) ).
thf(7201,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[7200]) ).
thf(7202,plain,
tptp0 @ ( sk1 @ sk9 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[7201:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(7206,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7202,89]) ).
thf(7207,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[7206]) ).
thf(7208,plain,
tptp0 @ ( sk1 @ sk9 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[7207:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) @ sk19 ))]]) ).
thf(731,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,115]) ).
thf(732,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[731]) ).
thf(733,plain,
tptp4 @ ( sk1 @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[732:[bind(A,$thf( sk1 ))]]) ).
thf(1178,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[733,171]) ).
thf(1179,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1178]) ).
thf(1180,plain,
sk1 @ sk6 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1179:[bind(A,$thf( tptp4 )),bind(B,$thf( sk1 @ sk6 ))]]) ).
thf(1757,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1180,219]) ).
thf(1758,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1757]) ).
thf(1759,plain,
sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1758:[bind(A,$thf( sk1 @ sk6 ))]]) ).
thf(2038,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,1202]) ).
thf(2039,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2038]) ).
thf(2087,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk6 )
!= A )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2039]) ).
thf(2099,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( sk1 @ sk6 @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2087]) ).
thf(31701,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp0 @ arboreal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,31696]) ).
thf(31702,plain,
( ~ ( tptp0 @ arboreal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[31701:[bind(A,$thf( sk1 ))]]) ).
thf(32085,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp0 @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,31702]) ).
thf(32086,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[32085]) ).
thf(32165,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[32086]) ).
thf(32201,plain,
( ( sk1 != tptp0 )
| ~ ( tptp0 @ arboreal ) ),
inference(simp,[status(thm)],[32165]) ).
thf(32255,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true
| ~ ( A @ legal ) ),
inference(paramod_ordered,[status(thm)],[87,32201]) ).
thf(32256,plain,
! [A: $i] :
( ( ( A @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ ( A @ legal ) ),
inference(simp,[status(thm)],[32255]) ).
thf(32257,plain,
( ( sk1 != tptp0 )
| ~ ( tptp0 @ legal ) ),
inference(pattern_uni,[status(thm)],[32256:[bind(A,$thf( tptp0 ))]]) ).
thf(6007,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5956,92]) ).
thf(6008,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( B @ ( A @ root ) ) )
| ( A @ legal ) ),
inference(simp,[status(thm)],[6007]) ).
thf(6009,plain,
sk1 @ sk5 @ legal,
inference(pattern_uni,[status(thm)],[6008:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk5 @ ( sk1 @ sk8 ) ))]]) ).
thf(15026,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk5 ) )
| ( tptp0 @ legal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,6009]) ).
thf(15027,plain,
( ( tptp0 @ legal )
| ~ ( sk1 @ sk5 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15026:[bind(A,$thf( sk1 @ sk5 ))]]) ).
thf(38751,plain,
( ( ( sk1 @ sk5 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,15027]) ).
thf(38752,plain,
( ( ( sk1 @ sk5 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[38751]) ).
thf(38825,plain,
( ( ( sk1 @ sk5 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[38752]) ).
thf(38856,plain,
( ( ( sk1 @ sk5 )
!= tptp0 )
| ( tptp0 @ legal ) ),
inference(simp,[status(thm)],[38825]) ).
thf(56,plain,
! [B: $i,A: $i] :
( ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[53]) ).
thf(1065,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[994,170]) ).
thf(1066,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1065]) ).
thf(1067,plain,
( ( tptp2 @ activity )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1066:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(1135,plain,
! [A: $i] :
( ( ( tptp1 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true
| ( tptp2 @ activity ) ),
inference(paramod_ordered,[status(thm)],[1067,89]) ).
thf(1136,plain,
! [A: $i] :
( ( ( tptp1 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ( tptp2 @ activity ) ),
inference(simp,[status(thm)],[1135]) ).
thf(1137,plain,
( ( tptp1 @ ( tptp1 @ subactivity ) )
| ( tptp2 @ activity ) ),
inference(pattern_uni,[status(thm)],[1136:[bind(A,$thf( tptp1 ))]]) ).
thf(10530,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,171]) ).
thf(10531,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[10530]) ).
thf(10532,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[10531:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(10592,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10532,219]) ).
thf(10593,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[10592]) ).
thf(10594,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[10593:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(27,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/sandbox/benchmark/theBenchmark.p',sos_32) ).
thf(151,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)],[27]) ).
thf(152,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ~ ( C @ ( A @ ( B @ ( C @ ( D @ sk11 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) )
& ( ( D @ ( A @ ( B @ ( C @ ( D @ sk11 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(153,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( B @ ( C @ ( D @ sk11 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[152]) ).
thf(254,plain,
( ( ( tptp4 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[72,222]) ).
thf(255,plain,
( ( tptp4 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[254]) ).
thf(259,plain,
tptp4 != tptp0,
inference(simp,[status(thm)],[255]) ).
thf(15512,plain,
! [A: $i] :
( ( A != tptp4 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,259]) ).
thf(15513,plain,
! [A: $i] :
( ( A != tptp4 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15512]) ).
thf(15514,plain,
~ ( tptp4 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[15513:[bind(A,$thf( tptp4 ))]]) ).
thf(25,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/sandbox/benchmark/theBenchmark.p',sos_22) ).
thf(139,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)],[25]) ).
thf(140,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)],[139]) ).
thf(141,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 @ sk10 ) ) @ min_precedes ) ) )
| ~ ( G @ ( F @ ( E @ min_precedes ) ) ) )
& ( ( G @ ( F @ ( E @ next_subocc ) ) )
| ( G @ ( E @ ( F @ ( G @ sk10 ) ) @ ( 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)],[140]) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ next_subocc ) ) ) ),
inference(cnfConj,[status(thm)],[141]) ).
thf(16773,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,15514]) ).
thf(16774,plain,
( ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[16773:[bind(A,$thf( sk1 ))]]) ).
thf(30009,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,16774]) ).
thf(30010,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[30009]) ).
thf(30132,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[30010]) ).
thf(30209,plain,
( ( sk1 != tptp0 )
| ~ ( tptp4 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[30132]) ).
thf(10615,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10532,218]) ).
thf(10616,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[10615]) ).
thf(10617,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[10616:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(10879,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10617,89]) ).
thf(10880,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[10879]) ).
thf(10881,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[10880:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk19 ))]]) ).
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/sandbox/benchmark/theBenchmark.p',sos_25) ).
thf(176,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(177,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) )
& ( ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ) ),
inference(cnf,[status(esa)],[176]) ).
thf(178,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[177]) ).
thf(26272,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,178]) ).
thf(26273,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26272]) ).
thf(26274,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26273:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(26540,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26274,112]) ).
thf(26541,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26540]) ).
thf(26542,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26541:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(194,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[192]) ).
thf(34169,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,194]) ).
thf(34170,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[34169]) ).
thf(34171,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[34170:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ min_precedes ) ) )
=> ~ ( C @ ( B @ root ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
thf(185,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(3460,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,110]) ).
thf(3461,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3460]) ).
thf(3532,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk6 )
!= A )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3461]) ).
thf(3545,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( sk1 @ sk6 @ ( sk1 @ sk6 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3532]) ).
thf(1181,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ $true
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[112,171]) ).
thf(1182,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
!= ( B @ ( C @ occurrence_of ) ) )
| ( C @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1181]) ).
thf(1183,plain,
! [A: $i] :
( ( A @ sk5 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[1182:[bind(A,$thf( D )),bind(B,$thf( tptp3 )),bind(C,$thf( D @ sk5 ))]]) ).
thf(1204,plain,
! [A: $i] :
( ( A @ sk5 @ activity_occurrence )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1183]) ).
thf(1987,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1748,1204]) ).
thf(1988,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1987]) ).
thf(1995,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk5 )
!= A )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1988]) ).
thf(2010,plain,
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( sk1 @ sk5 @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1995]) ).
thf(26305,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,178]) ).
thf(26306,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk13 ) ) @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26305]) ).
thf(26307,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26306:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(26929,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26307,112]) ).
thf(26930,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26929]) ).
thf(26931,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26930:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
thf(32,axiom,
tptp3 @ atomic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).
thf(172,plain,
tptp3 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(252,plain,
( ( ( tptp3 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[172,222]) ).
thf(253,plain,
( ( tptp3 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[252]) ).
thf(258,plain,
tptp3 != tptp0,
inference(simp,[status(thm)],[253]) ).
thf(15925,plain,
! [A: $i] :
( ( A != tptp3 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,258]) ).
thf(15926,plain,
! [A: $i] :
( ( A != tptp3 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15925]) ).
thf(15927,plain,
~ ( tptp3 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[15926:[bind(A,$thf( tptp3 ))]]) ).
thf(31128,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26931,15927]) ).
thf(31129,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[31128]) ).
thf(31261,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 )
!= sk1 ) ),
inference(simp,[status(thm)],[31129]) ).
thf(31293,plain,
( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 )
!= sk1 ),
inference(simp,[status(thm)],[31261]) ).
thf(26385,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26274,115]) ).
thf(26386,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26385]) ).
thf(26387,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26386:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(29022,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26387,15514]) ).
thf(29023,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[29022]) ).
thf(29256,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[29023]) ).
thf(29282,plain,
( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 )
!= sk1 ),
inference(simp,[status(thm)],[29256]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ( A @ arboreal )
| ~ ( B @ atomic )
| ~ ( B @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[182]) ).
thf(100,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk4 ) @ ( B @ occurrence_of ) )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(2231,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)],[100,171]) ).
thf(2232,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)],[2231]) ).
thf(2233,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ leaf_occ ) ) ),
inference(pattern_uni,[status(thm)],[2232:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F @ ( E @ sk4 ) )),bind(D,$thf( E ))]]) ).
thf(2269,plain,
! [B: $i,A: $i] :
( ( A @ activity_occurrence )
| ~ ( A @ ( B @ leaf_occ ) ) ),
inference(simp,[status(thm)],[2233]) ).
thf(10486,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,113]) ).
thf(10487,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp0 @ ( A @ sk6 @ ( A @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[10486]) ).
thf(10488,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ min_precedes ) ),
inference(pattern_uni,[status(thm)],[10487:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(186,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ root ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnf,[status(esa)],[185]) ).
thf(32541,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10488,186]) ).
thf(32542,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) ) ),
inference(simp,[status(thm)],[32541]) ).
thf(32543,plain,
~ ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ root ) ),
inference(pattern_uni,[status(thm)],[32542:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )),bind(C,$thf( tptp0 ))]]) ).
thf(195,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[192]) ).
thf(34988,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,195]) ).
thf(34989,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[34988]) ).
thf(34990,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) @ ( sk1 @ sk6 @ atocc ),
inference(pattern_uni,[status(thm)],[34989:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(36298,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) @ ( sk1 @ sk6 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34990,159]) ).
thf(36299,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) @ ( sk1 @ sk6 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[36298]) ).
thf(36300,plain,
sk1 @ sk6 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[36299:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) ))]]) ).
thf(124,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)],[120]) ).
thf(125,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)],[124]) ).
thf(16976,plain,
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[332,15927]) ).
thf(16977,plain,
( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[16976]) ).
thf(17000,plain,
( ( tptp3 != tptp3 )
| ( ( sk1 @ sk5 )
!= sk1 ) ),
inference(simp,[status(thm)],[16977]) ).
thf(17017,plain,
( ( sk1 @ sk5 )
!= sk1 ),
inference(simp,[status(thm)],[17000]) ).
thf(6069,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6009,87]) ).
thf(6070,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[6069]) ).
thf(6071,plain,
sk1 @ sk5 @ arboreal,
inference(pattern_uni,[status(thm)],[6070:[bind(A,$thf( sk1 @ sk5 ))]]) ).
thf(37,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).
thf(187,plain,
tptp4 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(188,plain,
tptp4 != tptp1,
inference(polarity_switch,[status(thm)],[187]) ).
thf(189,plain,
tptp4 != tptp1,
inference(lifteq,[status(thm)],[188]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp2 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ ( tptp3 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[53]) ).
thf(368,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp2 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[332,55]) ).
thf(369,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp2 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) ) ),
inference(simp,[status(thm)],[368]) ).
thf(370,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp2 @ ( A @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(pattern_uni,[status(thm)],[369:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(379,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp2 @ ( A @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[370]) ).
thf(3630,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp2 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(rewrite,[status(thm)],[379,3466]) ).
thf(3631,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp2 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[3630]) ).
thf(4192,plain,
! [A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[994,3631]) ).
thf(4193,plain,
! [A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[4192]) ).
thf(4194,plain,
( ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[4193:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(49,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
thf(226,plain,
tptp3 != tptp2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(227,plain,
tptp3 != tptp2,
inference(polarity_switch,[status(thm)],[226]) ).
thf(228,plain,
tptp2 != tptp3,
inference(lifteq,[status(thm)],[227]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ precedes ) )
<=> ( ( B @ legal )
& ( B @ ( A @ earlier ) ) ) ),
file('/export/starexec/sandbox/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(78,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ earlier ) )
| ~ ( B @ ( A @ precedes ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(32559,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,186]) ).
thf(32560,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) ) ),
inference(simp,[status(thm)],[32559]) ).
thf(32561,plain,
~ ( tptp0 @ ( sk1 @ sk6 @ root ) ),
inference(pattern_uni,[status(thm)],[32560:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( tptp0 ))]]) ).
thf(5997,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5956,69]) ).
thf(5998,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk2 ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[5997]) ).
thf(5999,plain,
sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ),
inference(pattern_uni,[status(thm)],[5998:[bind(A,$thf( sk1 @ sk5 @ ( sk1 @ sk8 ) )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(17028,plain,
tptp0 @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ),
inference(rewrite,[status(thm)],[5999,15297]) ).
thf(21805,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17028,159]) ).
thf(21806,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[21805]) ).
thf(21807,plain,
sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[21806:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ sk2 ) ))]]) ).
thf(26489,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26274,1202]) ).
thf(26490,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26489]) ).
thf(26491,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26490:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(27449,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26491,218]) ).
thf(27450,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[27449]) ).
thf(27451,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[27450:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk6 ))]]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ earlier ) )
& ( A @ legal ) )
=> ( B @ legal ) ),
file('/export/starexec/sandbox/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(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/sandbox/benchmark/theBenchmark.p',sos_29) ).
thf(163,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(164,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)],[163]) ).
thf(42,axiom,
tptp2 @ atomic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
thf(211,plain,
tptp2 @ atomic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(18,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/sandbox/benchmark/theBenchmark.p',sos_18) ).
thf(105,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)],[18]) ).
thf(106,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)],[105]) ).
thf(160,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk12 ) @ ( A @ occurrence_of ) )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[157]) ).
thf(22606,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17028,160]) ).
thf(22607,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[22606]) ).
thf(22608,plain,
sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ ( sk1 @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[22607:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ sk2 ) ))]]) ).
thf(2040,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,112]) ).
thf(2041,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2040]) ).
thf(2091,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk6 )
!= A )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2041]) ).
thf(2105,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( tptp3 @ ( sk1 @ sk6 @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2091]) ).
thf(179,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[177]) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk10 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[141]) ).
thf(147,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( B @ ( A @ ( B @ ( C @ sk10 ) ) @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(1911,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1745,1204]) ).
thf(1912,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1911]) ).
thf(1923,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk7 )
!= A )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1912]) ).
thf(1928,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( sk1 @ sk7 @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[1923]) ).
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/sandbox/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(10536,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,1204]) ).
thf(10537,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[10536]) ).
thf(10538,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[10537:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(22,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/sandbox/benchmark/theBenchmark.p',sos_28) ).
thf(130,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)],[22]) ).
thf(131,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)],[130]) ).
thf(132,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)],[131]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subactivity_occurrence ) )
& ( B @ ( A @ subactivity_occurrence ) ) )
=> ( C @ ( A @ subactivity_occurrence ) ) ),
file('/export/starexec/sandbox/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(10481,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,1202]) ).
thf(10482,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[10481]) ).
thf(10483,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[10482:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(10688,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10483,218]) ).
thf(10689,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[10688]) ).
thf(10690,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[10689:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 ))]]) ).
thf(16468,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,138]) ).
thf(16469,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[16468]) ).
thf(16470,plain,
sk1 @ sk7 @ ( sk1 @ sk6 @ precedes ),
inference(pattern_uni,[status(thm)],[16469:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( sk1 @ sk7 )),bind(C,$thf( tptp0 ))]]) ).
thf(17278,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16470,78]) ).
thf(17279,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[17278]) ).
thf(17280,plain,
sk1 @ sk7 @ ( sk1 @ sk6 @ earlier ),
inference(pattern_uni,[status(thm)],[17279:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ earlier ) )
=> ~ ( A @ ( B @ earlier ) ) ),
file('/export/starexec/sandbox/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(17717,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17280,60]) ).
thf(17718,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[17717]) ).
thf(17719,plain,
~ ( sk1 @ sk6 @ ( sk1 @ sk7 @ earlier ) ),
inference(pattern_uni,[status(thm)],[17718:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(2047,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[1759,379]) ).
thf(2048,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2047]) ).
thf(2090,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp2 )
| ( ( sk1 @ sk6 )
!= A )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2048]) ).
thf(2103,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2090]) ).
thf(3632,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2103,3466]) ).
thf(3633,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[3632]) ).
thf(4474,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp2 )
| ~ $true ),
inference(rewrite,[status(thm)],[3633,4350]) ).
thf(4475,plain,
( ( sk1 @ sk6 @ sk19 )
!= tptp2 ),
inference(simp,[status(thm)],[4474]) ).
thf(16471,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,138]) ).
thf(16472,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ( B @ ( A @ precedes ) ) ),
inference(simp,[status(thm)],[16471]) ).
thf(16473,plain,
sk1 @ sk6 @ ( sk1 @ sk5 @ precedes ),
inference(pattern_uni,[status(thm)],[16472:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( tptp0 ))]]) ).
thf(17524,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16473,78]) ).
thf(17525,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[17524]) ).
thf(17526,plain,
sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ),
inference(pattern_uni,[status(thm)],[17525:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk6 ))]]) ).
thf(321,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( B @ ( A @ earlier ) ) ),
inference(eqfactor_ordered,[status(thm)],[60]) ).
thf(322,plain,
! [A: $i] :
~ ( A @ ( A @ earlier ) ),
inference(pattern_uni,[status(thm)],[321:[bind(A,$thf( B ))]]) ).
thf(323,plain,
! [A: $i] :
~ ( A @ ( A @ earlier ) ),
inference(simp,[status(thm)],[322]) ).
thf(18026,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) )
!= ( A @ ( A @ earlier ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17526,323]) ).
thf(18027,plain,
! [A: $i] :
( ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) )
!= ( A @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[18026]) ).
thf(18071,plain,
! [A: $i] :
( ( ( sk1 @ sk6 )
!= A )
| ( ( sk1 @ sk5 )
!= A ) ),
inference(simp,[status(thm)],[18027]) ).
thf(18081,plain,
( ( sk1 @ sk6 )
!= ( sk1 @ sk5 ) ),
inference(simp,[status(thm)],[18071]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ root_occ ) ) ),
inference(cnfConj,[status(thm)],[120]) ).
thf(5801,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3466,122]) ).
thf(5802,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[5801]) ).
thf(5803,plain,
sk1 @ ( sk1 @ sk5 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[5802:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 ))]]) ).
thf(5837,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ subactivity_occurrence ) )
!= ( C @ ( B @ subactivity_occurrence ) ) )
| ( C @ ( A @ subactivity_occurrence ) )
| ~ $true
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(paramod_ordered,[status(thm)],[5803,74]) ).
thf(5838,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ ( sk1 @ sk5 @ subactivity_occurrence ) )
!= ( C @ ( B @ subactivity_occurrence ) ) )
| ( C @ ( A @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[5837]) ).
thf(5839,plain,
! [A: $i] :
( ( sk1 @ ( A @ subactivity_occurrence ) )
| ~ ( sk1 @ sk5 @ ( A @ subactivity_occurrence ) ) ),
inference(pattern_uni,[status(thm)],[5838:[bind(A,$thf( A )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 ))]]) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk4 ) @ ( A @ leaf ) )
| ~ ( B @ ( A @ leaf_occ ) ) ),
inference(cnfConj,[status(thm)],[99]) ).
thf(16803,plain,
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[733,15514]) ).
thf(16804,plain,
( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[16803]) ).
thf(16859,plain,
( ( tptp4 != tptp4 )
| ( ( sk1 @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[16804]) ).
thf(16883,plain,
( ( sk1 @ sk6 )
!= sk1 ),
inference(simp,[status(thm)],[16859]) ).
thf(17115,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( tptp0 @ sk6 )
!= sk1 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,16883]) ).
thf(17116,plain,
( ( ( tptp0 @ sk6 )
!= sk1 )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[17115:[bind(A,$thf( sk1 ))]]) ).
thf(38491,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk6 )
!= sk1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,17116]) ).
thf(38492,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( ( tptp0 @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[38491]) ).
thf(38577,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( ( tptp0 @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[38492]) ).
thf(38605,plain,
( ( sk1 != tptp0 )
| ( ( tptp0 @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[38577]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ( B
= ( A @ sk7 ) )
| ( B
= ( A @ sk6 ) )
| ~ ( tptp0 @ ( B @ ( A @ sk5 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[109]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ~ ( tptp0 @ ( B @ ( A @ sk5 @ min_precedes ) ) )
| ~ ( tptp0 @ ( A @ occurrence_of ) )
| ( B
= ( A @ sk7 ) )
| ( B
= ( A @ sk6 ) ) ),
inference(lifteq,[status(thm)],[116]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( B @ activity_occurrence )
| ~ ( B @ ( A @ subactivity_occurrence ) ) ),
inference(cnfConj,[status(thm)],[83]) ).
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/sandbox/benchmark/theBenchmark.p',sos_21) ).
thf(197,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(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 ) ) )
& ! [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)],[197]) ).
thf(199,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ leaf ) )
| ( E @ ( D @ ( E @ sk17 ) @ ( D @ min_precedes ) ) )
| ~ ( E @ ( D @ ( F @ min_precedes ) ) ) )
& ( ( E @ ( D @ leaf ) )
| ( E @ ( D @ ( E @ sk17 ) @ ( D @ min_precedes ) ) )
| ~ ( E @ ( D @ root ) ) )
& ( ~ ( B @ ( C @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ leaf ) ) )
& ( ( B @ ( A @ ( A @ ( B @ sk16 ) @ min_precedes ) ) )
| ( B @ ( A @ root ) )
| ~ ( B @ ( A @ leaf ) ) ) ),
inference(cnf,[status(esa)],[198]) ).
thf(201,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ min_precedes ) ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(cnfConj,[status(thm)],[199]) ).
thf(1221,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1180,218]) ).
thf(1222,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1221]) ).
thf(1223,plain,
sk1 @ sk6 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1222:[bind(A,$thf( sk1 @ sk6 ))]]) ).
thf(298,plain,
( ~ $true
| ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(eqfactor_ordered,[status(thm)],[267]) ).
thf(302,plain,
( ( ( tptp1 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) )
| ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[298]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A @ legal )
& ( B @ ( A @ atocc ) ) )
=> ( B @ ( A @ root ) ) ),
file('/export/starexec/sandbox/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(30,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
thf(165,plain,
tptp4 != tptp2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(248,plain,
( ( ( tptp2 @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[211,222]) ).
thf(249,plain,
( ( tptp2 @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[248]) ).
thf(256,plain,
tptp2 != tptp0,
inference(simp,[status(thm)],[249]) ).
thf(15328,plain,
! [A: $i] :
( ( A != tptp2 )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,256]) ).
thf(15329,plain,
! [A: $i] :
( ( A != tptp2 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[15328]) ).
thf(15330,plain,
~ ( tptp2 @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[15329:[bind(A,$thf( tptp2 ))]]) ).
thf(360,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[332,56]) ).
thf(361,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( B @ ( A @ min_precedes ) ) )
| ~ ( tptp1 @ ( B @ occurrence_of ) )
| ~ ( sk1 @ ( A @ root_occ ) ) ),
inference(simp,[status(thm)],[360]) ).
thf(362,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp1 @ ( A @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(pattern_uni,[status(thm)],[361:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(383,plain,
! [A: $i] :
( ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( tptp1 @ ( A @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[362]) ).
thf(2083,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp1 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[1759,383]) ).
thf(2084,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp1 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2083]) ).
thf(2095,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp1 )
| ( ( sk1 @ sk6 )
!= A )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2084]) ).
thf(2111,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[2095]) ).
thf(3638,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2111,3466]) ).
thf(3639,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[3638]) ).
thf(6896,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp1 )
| ~ $true ),
inference(rewrite,[status(thm)],[3639,4350]) ).
thf(6897,plain,
( ( sk1 @ sk6 @ sk19 )
!= tptp1 ),
inference(simp,[status(thm)],[6896]) ).
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/sandbox/benchmark/theBenchmark.p',sos_30) ).
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(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ earlier ) )
& ( B @ ( A @ earlier ) ) )
=> ( C @ ( A @ earlier ) ) ),
file('/export/starexec/sandbox/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(24109,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22608,170]) ).
thf(24110,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity ) ),
inference(simp,[status(thm)],[24109]) ).
thf(24111,plain,
sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ activity,
inference(pattern_uni,[status(thm)],[24110:[bind(A,$thf( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(29562,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26542,15927]) ).
thf(29563,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[29562]) ).
thf(29703,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 )
!= sk1 ) ),
inference(simp,[status(thm)],[29563]) ).
thf(29718,plain,
( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 )
!= sk1 ),
inference(simp,[status(thm)],[29703]) ).
thf(17113,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk6 ) )
| ( sk1 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,16883]) ).
thf(17114,plain,
( ( sk1 != tptp0 )
| ~ ( sk1 @ sk6 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[17113:[bind(A,$thf( sk1 @ sk6 ))]]) ).
thf(26777,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26307,115]) ).
thf(26778,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[26777]) ).
thf(26779,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[26778:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
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/sandbox/benchmark/theBenchmark.p',sos_20) ).
thf(224,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(68,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[67]) ).
thf(6042,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5956,68]) ).
thf(6043,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) ) ),
inference(simp,[status(thm)],[6042]) ).
thf(6044,plain,
sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ sk2 ) @ subactivity ),
inference(pattern_uni,[status(thm)],[6043:[bind(A,$thf( sk1 @ sk5 @ ( sk1 @ sk8 ) )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(17032,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ subactivity ),
inference(rewrite,[status(thm)],[6044,15297]) ).
thf(2085,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,1204]) ).
thf(2086,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2085]) ).
thf(2096,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk6 )
!= A )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2086]) ).
thf(2112,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( sk1 @ sk6 @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[2096]) ).
thf(1866,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1745,112]) ).
thf(1867,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1866]) ).
thf(1917,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk7 )
!= A )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1867]) ).
thf(1936,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( tptp3 @ ( sk1 @ sk7 @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1917]) ).
thf(32553,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[17030,186]) ).
thf(32554,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[32553]) ).
thf(32555,plain,
! [A: $i] :
~ ( tptp0 @ ( sk1 @ sk5 @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[32554:[bind(A,$thf( A )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( tptp0 ))]]) ).
thf(1142,plain,
( ~ $true
| ( ( tptp1 @ activity )
!= ( tptp2 @ activity ) )
| ( tptp2 @ activity ) ),
inference(eqfactor_ordered,[status(thm)],[1067]) ).
thf(1143,plain,
( ( ( tptp1 @ activity )
!= ( tptp2 @ activity ) )
| ( tptp2 @ activity ) ),
inference(simp,[status(thm)],[1142]) ).
thf(36859,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) @ ( sk1 @ sk7 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36478,159]) ).
thf(36860,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) @ ( sk1 @ sk7 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[36859]) ).
thf(36861,plain,
sk1 @ sk7 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[36860:[bind(A,$thf( sk1 @ sk7 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk15 ) ) ))]]) ).
thf(26978,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26307,171]) ).
thf(26979,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[26978]) ).
thf(26980,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26979:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
thf(980,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[733,170]) ).
thf(981,plain,
! [B: $i,A: $i] :
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity ) ),
inference(simp,[status(thm)],[980]) ).
thf(982,plain,
tptp4 @ activity,
inference(pattern_uni,[status(thm)],[981:[bind(A,$thf( tptp4 )),bind(B,$thf( sk1 @ sk6 ))]]) ).
thf(1004,plain,
! [A: $i] :
( ( ( tptp4 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[982,89]) ).
thf(1005,plain,
! [A: $i] :
( ( ( tptp4 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1004]) ).
thf(1006,plain,
tptp4 @ ( tptp4 @ subactivity ),
inference(pattern_uni,[status(thm)],[1005:[bind(A,$thf( tptp4 ))]]) ).
thf(27682,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,179]) ).
thf(27683,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[27682]) ).
thf(27684,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ ( sk1 @ sk6 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[27683:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(1026,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[220,207]) ).
thf(1027,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp1 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[1026]) ).
thf(1028,plain,
! [B: $i,A: $i] :
~ ( tptp1 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[1027:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp1 ))]]) ).
thf(35001,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,195]) ).
thf(35002,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) @ ( B @ atocc ) ) ),
inference(simp,[status(thm)],[35001]) ).
thf(35003,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) @ ( sk1 @ sk5 @ atocc ),
inference(pattern_uni,[status(thm)],[35002:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(36694,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35003,159]) ).
thf(36695,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) @ ( sk1 @ sk5 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[36694]) ).
thf(36696,plain,
sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[36695:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk14 ) ) ))]]) ).
thf(14979,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk7 ) )
| ( tptp0 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,1507]) ).
thf(14980,plain,
( ( tptp0 @ activity_occurrence )
| ~ ( sk1 @ sk7 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14979:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(34828,plain,
( ( ( sk1 @ sk7 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14980]) ).
thf(34829,plain,
( ( ( sk1 @ sk7 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[34828]) ).
thf(34896,plain,
( ( ( sk1 @ sk7 )
!= tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[34829]) ).
thf(34938,plain,
( ( ( sk1 @ sk7 )
!= tptp0 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[34896]) ).
thf(36489,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,196]) ).
thf(36490,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( C @ atocc ) ) ),
inference(simp,[status(thm)],[36489]) ).
thf(36491,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) @ ( sk1 @ sk6 @ atocc ),
inference(pattern_uni,[status(thm)],[36490:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(37225,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) @ ( sk1 @ sk6 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36491,159]) ).
thf(37226,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) @ ( sk1 @ sk6 @ atocc ) )
!= ( B @ ( A @ atocc ) ) )
| ( A @ ( B @ sk12 ) @ atomic ) ),
inference(simp,[status(thm)],[37225]) ).
thf(37227,plain,
sk1 @ sk6 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) @ sk12 ) @ atomic,
inference(pattern_uni,[status(thm)],[37226:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) ))]]) ).
thf(16902,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,15927]) ).
thf(16903,plain,
( ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[16902:[bind(A,$thf( sk1 ))]]) ).
thf(1871,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1745,115]) ).
thf(1872,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1871]) ).
thf(1918,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk7 )
!= A )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1872]) ).
thf(1937,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( tptp4 @ ( sk1 @ sk7 @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1918]) ).
thf(2045,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,115]) ).
thf(2046,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2045]) ).
thf(2093,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk6 )
!= A )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2046]) ).
thf(2108,plain,
( ( ( sk1 @ sk6 @ sk19 )
!= tptp0 )
| ( tptp4 @ ( sk1 @ sk6 @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[2093]) ).
thf(1909,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp1 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[1745,383]) ).
thf(1910,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp1 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1909]) ).
thf(1913,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp1 )
| ( ( sk1 @ sk7 )
!= A )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1910]) ).
thf(1930,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1913]) ).
thf(3642,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1930,3466]) ).
thf(3643,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp1 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[3642]) ).
thf(43,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/sandbox/benchmark/theBenchmark.p',sos_13) ).
thf(212,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)],[43]) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(cnfConj,[status(thm)],[94]) ).
thf(10423,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,115]) ).
thf(10424,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[10423]) ).
thf(10425,plain,
tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[10424:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(16805,plain,
( ( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10425,15514]) ).
thf(16806,plain,
( ( tptp4 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[16805]) ).
thf(16872,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[16806]) ).
thf(16889,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= sk1 ),
inference(simp,[status(thm)],[16872]) ).
thf(32218,plain,
( ( ( sk1 @ sk5 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6071,32201]) ).
thf(32219,plain,
( ( ( sk1 @ sk5 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[32218]) ).
thf(32265,plain,
( ( ( sk1 @ sk5 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[32219]) ).
thf(1190,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,171]) ).
thf(1191,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[1190]) ).
thf(1192,plain,
sk1 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[1191:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 ))]]) ).
thf(33,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
thf(173,plain,
tptp3 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(1523,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1507,218]) ).
thf(1524,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1523]) ).
thf(1525,plain,
sk1 @ sk7 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1524:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(1528,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1525,89]) ).
thf(1529,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1528]) ).
thf(1530,plain,
sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1529:[bind(A,$thf( sk1 @ sk7 @ sk19 ))]]) ).
thf(15413,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,1192]) ).
thf(15414,plain,
( ( tptp0 @ activity_occurrence )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[15413:[bind(A,$thf( sk1 ))]]) ).
thf(18558,plain,
( ( ( sk1 @ sk6 @ ( sk1 @ sk7 @ earlier ) )
!= ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17526,17719]) ).
thf(18559,plain,
( ( sk1 @ sk6 @ ( sk1 @ sk7 @ earlier ) )
!= ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) ) ),
inference(simp,[status(thm)],[18558]) ).
thf(18610,plain,
( ( ( sk1 @ sk6 )
!= ( sk1 @ sk6 ) )
| ( ( sk1 @ sk7 )
!= ( sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[18559]) ).
thf(18626,plain,
( ( sk1 @ sk7 )
!= ( sk1 @ sk5 ) ),
inference(simp,[status(thm)],[18610]) ).
thf(26595,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26274,1204]) ).
thf(26596,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26595]) ).
thf(26597,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26596:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(27843,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26597,218]) ).
thf(27844,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[27843]) ).
thf(27845,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[27844:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk5 ))]]) ).
thf(22833,plain,
( ( ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ atomic )
!= ( tptp0 @ atomic ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21807,222]) ).
thf(22834,plain,
( ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ atomic )
!= ( tptp0 @ atomic ) ),
inference(simp,[status(thm)],[22833]) ).
thf(22835,plain,
( ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) )
!= tptp0 ),
inference(simp,[status(thm)],[22834]) ).
thf(26984,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26307,1204]) ).
thf(26985,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26984]) ).
thf(26986,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26985:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
thf(28256,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26986,218]) ).
thf(28257,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[28256]) ).
thf(28258,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[28257:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk5 ))]]) ).
thf(34182,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,194]) ).
thf(34183,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk15 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[34182]) ).
thf(34184,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk15 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[34183:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(26,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
thf(148,plain,
tptp2 != tptp1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14981,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk7 @ activity_occurrence )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,1507]) ).
thf(14982,plain,
( ( tptp0 @ sk7 @ activity_occurrence )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14981:[bind(A,$thf( sk1 ))]]) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) )
| ~ ( A @ ( C @ ( B @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[177]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ( B @ legal )
| ~ ( B @ ( A @ precedes ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(17339,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16470,79]) ).
thf(17340,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal ) ),
inference(simp,[status(thm)],[17339]) ).
thf(17341,plain,
sk1 @ sk7 @ legal,
inference(pattern_uni,[status(thm)],[17340:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(17395,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17341,87]) ).
thf(17396,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[17395]) ).
thf(17397,plain,
sk1 @ sk7 @ arboreal,
inference(pattern_uni,[status(thm)],[17396:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(32258,plain,
( ( ( sk1 @ sk7 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17397,32201]) ).
thf(32259,plain,
( ( ( sk1 @ sk7 @ arboreal )
!= ( tptp0 @ arboreal ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[32258]) ).
thf(32262,plain,
( ( ( sk1 @ sk7 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[32259]) ).
thf(26878,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26307,1202]) ).
thf(26879,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[26878]) ).
thf(26880,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26879:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
thf(16485,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,15330]) ).
thf(16486,plain,
( ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[16485:[bind(A,$thf( sk1 ))]]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ root ) )
| ~ ( A @ legal )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(17739,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ ( sk1 @ sk6 @ earlier ) )
!= ( A @ ( A @ earlier ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17280,323]) ).
thf(17740,plain,
! [A: $i] :
( ( sk1 @ sk7 @ ( sk1 @ sk6 @ earlier ) )
!= ( A @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[17739]) ).
thf(17784,plain,
! [A: $i] :
( ( ( sk1 @ sk7 )
!= A )
| ( ( sk1 @ sk6 )
!= A ) ),
inference(simp,[status(thm)],[17740]) ).
thf(17801,plain,
( ( sk1 @ sk7 )
!= ( sk1 @ sk6 ) ),
inference(simp,[status(thm)],[17784]) ).
thf(1269,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1223,89]) ).
thf(1270,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ sk19 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1269]) ).
thf(1271,plain,
sk1 @ sk6 @ sk19 @ ( sk1 @ sk6 @ sk19 @ subactivity ),
inference(pattern_uni,[status(thm)],[1270:[bind(A,$thf( sk1 @ sk6 @ sk19 ))]]) ).
thf(20997,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,1202]) ).
thf(20998,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk6 @ activity_occurrence ) ),
inference(simp,[status(thm)],[20997]) ).
thf(20999,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[20998:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(21334,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20999,218]) ).
thf(21335,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[21334]) ).
thf(21336,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[21335:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 ))]]) ).
thf(30583,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26779,15514]) ).
thf(30584,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[30583]) ).
thf(30813,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[30584]) ).
thf(30851,plain,
( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 )
!= sk1 ),
inference(simp,[status(thm)],[30813]) ).
thf(30289,plain,
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[733,30209]) ).
thf(30290,plain,
( ( ( tptp4 @ ( sk1 @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( tptp0 @ occurrence_of ) ) )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[30289]) ).
thf(30389,plain,
( ( tptp4 != tptp4 )
| ( ( sk1 @ sk6 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[30290]) ).
thf(30406,plain,
( ( ( sk1 @ sk6 )
!= tptp0 )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[30389]) ).
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(35805,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,16903]) ).
thf(35806,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[35805]) ).
thf(35922,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[35806]) ).
thf(36004,plain,
( ( sk1 != tptp0 )
| ~ ( tptp3 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[35922]) ).
thf(41,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
thf(208,plain,
tptp4 != tptp3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(32686,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk6 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,32561]) ).
thf(32687,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk6 @ root ) ) ),
inference(simp,[status(thm)],[32686]) ).
thf(32702,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk9 ) )
!= ( sk1 @ sk6 ) ) ),
inference(simp,[status(thm)],[32687]) ).
thf(32717,plain,
( ( tptp0 @ ( sk1 @ sk9 ) )
!= ( sk1 @ sk6 ) ),
inference(simp,[status(thm)],[32702]) ).
thf(10840,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10538,218]) ).
thf(10841,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[10840]) ).
thf(10842,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[10841:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 ))]]) ).
thf(18263,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,15414]) ).
thf(18264,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[18263]) ).
thf(18318,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[18264]) ).
thf(18337,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ activity_occurrence ) ),
inference(simp,[status(thm)],[18318]) ).
thf(18380,plain,
! [A: $i] :
( ( ( tptp0 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true
| ( sk1 != tptp0 ) ),
inference(paramod_ordered,[status(thm)],[18337,218]) ).
thf(18381,plain,
! [A: $i] :
( ( ( tptp0 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ( sk1 != tptp0 ) ),
inference(simp,[status(thm)],[18380]) ).
thf(18382,plain,
( ( tptp0 @ sk19 @ activity )
| ( sk1 != tptp0 ) ),
inference(pattern_uni,[status(thm)],[18381:[bind(A,$thf( tptp0 ))]]) ).
thf(47,axiom,
tptp0 @ activity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
thf(223,plain,
tptp0 @ activity,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(888,plain,
! [A: $i] :
( ( ( tptp0 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[223,89]) ).
thf(889,plain,
! [A: $i] :
( ( ( tptp0 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[888]) ).
thf(890,plain,
tptp0 @ ( tptp0 @ subactivity ),
inference(pattern_uni,[status(thm)],[889:[bind(A,$thf( tptp0 ))]]) ).
thf(21082,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,1204]) ).
thf(21083,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ sk5 @ activity_occurrence ) ),
inference(simp,[status(thm)],[21082]) ).
thf(21084,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ activity_occurrence,
inference(pattern_uni,[status(thm)],[21083:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(1020,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[172,207]) ).
thf(1021,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp3 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[1020]) ).
thf(1022,plain,
! [B: $i,A: $i] :
~ ( tptp3 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[1021:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp3 ))]]) ).
thf(31721,plain,
( ( ( sk1 @ sk7 @ arboreal )
!= ( sk1 @ arboreal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17397,31696]) ).
thf(31722,plain,
( ( sk1 @ sk7 @ arboreal )
!= ( sk1 @ arboreal ) ),
inference(simp,[status(thm)],[31721]) ).
thf(31727,plain,
( ( sk1 @ sk7 )
!= sk1 ),
inference(simp,[status(thm)],[31722]) ).
thf(33262,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,193]) ).
thf(33263,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( A @ ( B @ ( C @ sk14 ) ) @ subactivity ) ) ),
inference(simp,[status(thm)],[33262]) ).
thf(33264,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk14 ) ) @ subactivity ),
inference(pattern_uni,[status(thm)],[33263:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(3477,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1748,110]) ).
thf(3478,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3477]) ).
thf(3526,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk5 )
!= A )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3478]) ).
thf(3539,plain,
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( sk1 @ sk5 @ ( sk1 @ sk5 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3526]) ).
thf(1750,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1192,219]) ).
thf(1751,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1750]) ).
thf(1752,plain,
sk1 @ sk19 @ ( sk1 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[1751:[bind(A,$thf( sk1 ))]]) ).
thf(15509,plain,
! [A: $i] :
( ( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ~ $true
| ( A = tptp0 ) ),
inference(paramod_ordered,[status(thm)],[1752,13365]) ).
thf(15510,plain,
! [A: $i] :
( ( ( sk1 @ sk19 @ ( sk1 @ occurrence_of ) )
!= ( A @ ( sk1 @ occurrence_of ) ) )
| ( A = tptp0 ) ),
inference(simp,[status(thm)],[15509]) ).
thf(15511,plain,
( ( sk1 @ sk19 )
= tptp0 ),
inference(pattern_uni,[status(thm)],[15510:[bind(A,$thf( sk1 @ sk19 ))]]) ).
thf(998,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[332,170]) ).
thf(999,plain,
! [B: $i,A: $i] :
( ( ( tptp3 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( A @ activity ) ),
inference(simp,[status(thm)],[998]) ).
thf(1000,plain,
tptp3 @ activity,
inference(pattern_uni,[status(thm)],[999:[bind(A,$thf( tptp3 )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(10430,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10419,110]) ).
thf(10431,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[10430]) ).
thf(10432,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ root_occ ),
inference(pattern_uni,[status(thm)],[10431:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(14673,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10432,122]) ).
thf(14674,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[14673]) ).
thf(14675,plain,
tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[14674:[bind(A,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 )),bind(B,$thf( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) ))]]) ).
thf(166,plain,
tptp4 != tptp2,
inference(polarity_switch,[status(thm)],[165]) ).
thf(167,plain,
tptp4 != tptp2,
inference(lifteq,[status(thm)],[166]) ).
thf(4495,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) ) )
| ~ $true
| ~ ( tptp2 @ ( A @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[4350,3631]) ).
thf(4496,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) ) )
| ~ ( tptp2 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[4495]) ).
thf(4497,plain,
~ ( tptp2 @ ( sk1 @ sk6 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[4496:[bind(A,$thf( sk1 @ sk6 ))]]) ).
thf(26589,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26274,171]) ).
thf(26590,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence ) ),
inference(simp,[status(thm)],[26589]) ).
thf(26591,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ activity_occurrence,
inference(pattern_uni,[status(thm)],[26590:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(161,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ atocc ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( C @ atomic )
| ~ ( C @ ( B @ subactivity ) ) ),
inference(cnfConj,[status(thm)],[157]) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ atocc ) )
| ~ ( C @ ( A @ occurrence_of ) )
| ~ ( C @ atomic )
| ~ ( C @ ( B @ subactivity ) ) ),
inference(simp,[status(thm)],[161]) ).
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(1023,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp2 @ atomic )
!= ( C @ atomic ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[211,207]) ).
thf(1024,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp2 @ atomic )
!= ( C @ atomic ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[1023]) ).
thf(1025,plain,
! [B: $i,A: $i] :
~ ( tptp2 @ ( B @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[1024:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tptp2 ))]]) ).
thf(32550,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,186]) ).
thf(32551,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( C @ ( B @ ( A @ min_precedes ) ) ) )
| ~ ( C @ ( B @ root ) ) ),
inference(simp,[status(thm)],[32550]) ).
thf(32552,plain,
~ ( tptp0 @ ( sk1 @ sk7 @ root ) ),
inference(pattern_uni,[status(thm)],[32551:[bind(A,$thf( sk1 @ sk6 )),bind(B,$thf( sk1 @ sk7 )),bind(C,$thf( tptp0 ))]]) ).
thf(32613,plain,
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk7 @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,32552]) ).
thf(32614,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( tptp0 @ ( sk1 @ sk7 @ root ) ) ),
inference(simp,[status(thm)],[32613]) ).
thf(32630,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( sk1 @ sk9 ) )
!= ( sk1 @ sk7 ) ) ),
inference(simp,[status(thm)],[32614]) ).
thf(32644,plain,
( ( tptp0 @ ( sk1 @ sk9 ) )
!= ( sk1 @ sk7 ) ),
inference(simp,[status(thm)],[32630]) ).
thf(149,plain,
tptp2 != tptp1,
inference(polarity_switch,[status(thm)],[148]) ).
thf(150,plain,
tptp1 != tptp2,
inference(lifteq,[status(thm)],[149]) ).
thf(18007,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17526,60]) ).
thf(18008,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ earlier ) )
!= ( B @ ( A @ earlier ) ) )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[18007]) ).
thf(18009,plain,
~ ( sk1 @ sk5 @ ( sk1 @ sk6 @ earlier ) ),
inference(pattern_uni,[status(thm)],[18008:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk6 ))]]) ).
thf(21037,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,112]) ).
thf(21038,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21037]) ).
thf(21039,plain,
tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[21038:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(27135,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26980,218]) ).
thf(27136,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[27135]) ).
thf(27137,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[27136:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) ))]]) ).
thf(33345,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk5 @ ( A @ min_precedes ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10488,32555]) ).
thf(33346,plain,
! [A: $i] :
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ min_precedes ) ) )
!= ( tptp0 @ ( sk1 @ sk5 @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[33345]) ).
thf(33371,plain,
! [A: $i] :
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= ( sk1 @ sk5 ) )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 )
!= A ) ),
inference(simp,[status(thm)],[33346]) ).
thf(33387,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= ( sk1 @ sk5 ) ),
inference(simp,[status(thm)],[33371]) ).
thf(20917,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20913,115]) ).
thf(20918,plain,
! [A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[20917]) ).
thf(20919,plain,
tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ occurrence_of ),
inference(pattern_uni,[status(thm)],[20918:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(21569,plain,
( ( ( tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20919,15514]) ).
thf(21570,plain,
( ( tptp4 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 @ occurrence_of ) )
!= ( tptp4 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21569]) ).
thf(21734,plain,
( ( tptp4 != tptp4 )
| ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 )
!= sk1 ) ),
inference(simp,[status(thm)],[21570]) ).
thf(21779,plain,
( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk6 )
!= sk1 ),
inference(simp,[status(thm)],[21734]) ).
thf(22014,plain,
( ( ( tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21039,15927]) ).
thf(22015,plain,
( ( tptp3 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[22014]) ).
thf(22112,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 )
!= sk1 ) ),
inference(simp,[status(thm)],[22015]) ).
thf(22157,plain,
( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 )
!= sk1 ),
inference(simp,[status(thm)],[22112]) ).
thf(28957,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3988,180]) ).
thf(28958,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk6 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[28957]) ).
thf(28959,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ ( sk1 @ sk7 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[28958:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk6 )),bind(C,$thf( sk1 @ sk7 ))]]) ).
thf(31734,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( tptp0 @ legal )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,31720]) ).
thf(31735,plain,
( ~ ( tptp0 @ legal )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[31734:[bind(A,$thf( sk1 ))]]) ).
thf(17582,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16473,79]) ).
thf(17583,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk6 @ ( sk1 @ sk5 @ precedes ) )
!= ( B @ ( A @ precedes ) ) )
| ( B @ legal ) ),
inference(simp,[status(thm)],[17582]) ).
thf(17584,plain,
sk1 @ sk6 @ legal,
inference(pattern_uni,[status(thm)],[17583:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( sk1 @ sk6 ))]]) ).
thf(154,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( C @ ( D @ sk11 ) ) ) @ subactivity_occurrence ) )
| ( D @ ( C @ subactivity_occurrence ) )
| ~ ( B @ ( A @ subactivity ) )
| ~ ( B @ ( D @ occurrence_of ) )
| ~ ( A @ ( C @ occurrence_of ) ) ),
inference(cnfConj,[status(thm)],[152]) ).
thf(174,plain,
tptp3 != tptp1,
inference(polarity_switch,[status(thm)],[173]) ).
thf(175,plain,
tptp1 != tptp3,
inference(lifteq,[status(thm)],[174]) ).
thf(143,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)],[141]) ).
thf(1942,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1748,112]) ).
thf(1943,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1942]) ).
thf(1997,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk5 )
!= A )
| ( tptp3 @ ( A @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1943]) ).
thf(2013,plain,
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( tptp3 @ ( sk1 @ sk5 @ sk5 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1997]) ).
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(58,plain,
! [B: $i,A: $i] :
( ( B @ legal )
| ~ ( A @ ( B @ earlier ) )
| ~ ( A @ legal ) ),
inference(cnf,[status(esa)],[57]) ).
thf(6072,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ legal )
!= ( A @ legal ) )
| ( B @ legal )
| ~ ( A @ ( B @ earlier ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6009,58]) ).
thf(6073,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ legal )
!= ( A @ legal ) )
| ( B @ legal )
| ~ ( A @ ( B @ earlier ) ) ),
inference(simp,[status(thm)],[6072]) ).
thf(6074,plain,
! [A: $i] :
( ( A @ legal )
| ~ ( sk1 @ sk5 @ ( A @ earlier ) ) ),
inference(pattern_uni,[status(thm)],[6073:[bind(A,$thf( sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(6077,plain,
! [A: $i] :
( ( A @ legal )
| ~ ( sk1 @ sk5 @ ( A @ earlier ) ) ),
inference(simp,[status(thm)],[6074]) ).
thf(26750,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26591,218]) ).
thf(26751,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[26750]) ).
thf(26752,plain,
tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[26751:[bind(A,$thf( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk7 @ sk13 ) ) ))]]) ).
thf(28972,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,180]) ).
thf(28973,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( C @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[28972]) ).
thf(28974,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ ( sk1 @ sk6 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[28973:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(158,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk12 ) @ ( B @ subactivity ) )
| ~ ( B @ ( A @ atocc ) ) ),
inference(cnfConj,[status(thm)],[157]) ).
thf(23390,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20937,122]) ).
thf(23391,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ root_occ ) )
!= ( B @ ( A @ root_occ ) ) )
| ( B @ ( A @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[23390]) ).
thf(23392,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[23391:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 )),bind(B,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(32547,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(paramod_ordered,[status(thm)],[6719,186]) ).
thf(32548,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( C @ ( B @ root ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[32547]) ).
thf(32549,plain,
! [A: $i] :
~ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ ( A @ min_precedes ) ) ),
inference(pattern_uni,[status(thm)],[32548:[bind(A,$thf( A )),bind(B,$thf( tptp0 @ ( sk1 @ sk9 ) )),bind(C,$thf( tptp0 ))]]) ).
thf(22863,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) ) )
| ( tptp0 != tptp0 )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,22835]) ).
thf(22864,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) ) )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[22863]) ).
thf(22865,plain,
~ ( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) @ ( sk1 @ occurrence_of ) ),
inference(pattern_uni,[status(thm)],[22864:[bind(A,$thf( sk1 @ sk5 @ ( tptp0 @ ( sk1 @ sk5 @ sk2 ) @ sk12 ) ))]]) ).
thf(27697,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4350,179]) ).
thf(27698,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tptp0 @ ( sk1 @ sk6 @ ( sk1 @ sk5 @ min_precedes ) ) )
!= ( A @ ( C @ ( B @ min_precedes ) ) ) )
| ( A @ ( B @ ( C @ sk13 ) ) @ ( B @ subactivity_occurrence ) ) ),
inference(simp,[status(thm)],[27697]) ).
thf(27699,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ ( sk1 @ sk5 @ subactivity_occurrence ),
inference(pattern_uni,[status(thm)],[27698:[bind(A,$thf( tptp0 )),bind(B,$thf( sk1 @ sk5 )),bind(C,$thf( sk1 @ sk6 ))]]) ).
thf(6010,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5956,96]) ).
thf(6011,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( B @ sk3 ) @ ( B @ subactivity_occurrence ) )
| ( A @ atomic ) ),
inference(simp,[status(thm)],[6010]) ).
thf(6012,plain,
( ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ ( sk1 @ sk5 @ sk3 ) @ ( sk1 @ sk5 @ subactivity_occurrence ) )
| ( sk1 @ sk5 @ ( sk1 @ sk8 ) @ atomic ) ),
inference(pattern_uni,[status(thm)],[6011:[bind(A,$thf( sk1 @ sk5 @ ( sk1 @ sk8 ) )),bind(B,$thf( sk1 @ sk5 ))]]) ).
thf(17034,plain,
( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( sk1 @ sk5 @ subactivity_occurrence ) )
| ( tptp0 @ atomic ) ),
inference(rewrite,[status(thm)],[6012,15297]) ).
thf(25938,plain,
( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( sk1 @ sk5 @ subactivity_occurrence ) )
| $false ),
inference(rewrite,[status(thm)],[17034,222]) ).
thf(25939,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ ( sk1 @ sk5 @ subactivity_occurrence ),
inference(simp,[status(thm)],[25938]) ).
thf(1947,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1748,115]) ).
thf(1948,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 @ ( sk1 @ sk5 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1947]) ).
thf(1991,plain,
! [A: $i] :
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk5 )
!= A )
| ( tptp4 @ ( A @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1948]) ).
thf(2004,plain,
( ( ( sk1 @ sk5 @ sk19 )
!= tptp0 )
| ( tptp4 @ ( sk1 @ sk5 @ sk6 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[1991]) ).
thf(3494,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1745,110]) ).
thf(3495,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp0 @ ( A @ occurrence_of ) ) )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3494]) ).
thf(3519,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( ( sk1 @ sk7 )
!= A )
| ( A @ ( A @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3495]) ).
thf(3561,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp0 )
| ( sk1 @ sk7 @ ( sk1 @ sk7 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[3519]) ).
thf(1667,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( C @ occurrence_of ) ) )
| ( tptp1 @ ( C @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( C @ sk7 @ occurrence_of ) )
| ~ $true
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(paramod_ordered,[status(thm)],[95,114]) ).
thf(1668,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( B @ sk3 ) @ occurrence_of ) )
!= ( tptp0 @ ( C @ occurrence_of ) ) )
| ( tptp1 @ ( C @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( C @ sk7 @ occurrence_of ) )
| ( A @ atomic )
| ~ ( A @ ( B @ root ) ) ),
inference(simp,[status(thm)],[1667]) ).
thf(1669,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp0 @ atomic )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(pattern_uni,[status(thm)],[1668:[bind(A,$thf( tptp0 )),bind(B,$thf( D )),bind(C,$thf( tptp0 @ ( D @ sk3 ) ))]]) ).
thf(1676,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp0 @ atomic )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(simp,[status(thm)],[1669]) ).
thf(2446,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| $false
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(rewrite,[status(thm)],[1676,222]) ).
thf(2447,plain,
! [A: $i] :
( ( tptp1 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ( tptp2 @ ( tptp0 @ ( A @ sk3 ) @ sk7 @ occurrence_of ) )
| ~ ( tptp0 @ ( A @ root ) ) ),
inference(simp,[status(thm)],[2446]) ).
thf(7185,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7136,219]) ).
thf(7186,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk9 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[7185]) ).
thf(7187,plain,
tptp0 @ ( sk1 @ sk9 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk9 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[7186:[bind(A,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(33493,plain,
( ( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ root ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,32543]) ).
thf(33494,plain,
( ( tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 @ root ) )
!= ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) ) ),
inference(simp,[status(thm)],[33493]) ).
thf(33528,plain,
( ( tptp0 != tptp0 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= ( tptp0 @ ( sk1 @ sk9 ) ) ) ),
inference(simp,[status(thm)],[33494]) ).
thf(33553,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk6 )
!= ( tptp0 @ ( sk1 @ sk9 ) ) ),
inference(simp,[status(thm)],[33528]) ).
thf(16896,plain,
( ( ( tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10495,15927]) ).
thf(16897,plain,
( ( tptp3 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 @ occurrence_of ) )
!= ( tptp3 @ ( sk1 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[16896]) ).
thf(16996,plain,
( ( tptp3 != tptp3 )
| ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 )
!= sk1 ) ),
inference(simp,[status(thm)],[16897]) ).
thf(17015,plain,
( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk3 ) @ sk5 )
!= sk1 ),
inference(simp,[status(thm)],[16996]) ).
thf(144,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( A @ ( B @ ( C @ sk10 ) ) @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(cnfConj,[status(thm)],[141]) ).
thf(146,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ next_subocc ) ) )
| ( C @ ( A @ ( B @ ( C @ sk10 ) ) @ ( A @ min_precedes ) ) )
| ~ ( C @ ( B @ ( A @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[144]) ).
thf(37373,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk7 @ activity_occurrence )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,14982]) ).
thf(37374,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ( tptp0 @ sk7 @ activity_occurrence ) ),
inference(simp,[status(thm)],[37373]) ).
thf(37445,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ( tptp0 @ sk7 @ activity_occurrence ) ),
inference(simp,[status(thm)],[37374]) ).
thf(37476,plain,
( ( sk1 != tptp0 )
| ( tptp0 @ sk7 @ activity_occurrence ) ),
inference(simp,[status(thm)],[37445]) ).
thf(209,plain,
tptp4 != tptp3,
inference(polarity_switch,[status(thm)],[208]) ).
thf(210,plain,
tptp4 != tptp3,
inference(lifteq,[status(thm)],[209]) ).
thf(28120,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26880,218]) ).
thf(28121,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[28120]) ).
thf(28122,plain,
tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[28121:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ ( sk1 @ sk6 @ sk13 ) ) @ sk6 ))]]) ).
thf(21434,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21084,218]) ).
thf(21435,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[21434]) ).
thf(21436,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[21435:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk5 ))]]) ).
thf(21202,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21078,219]) ).
thf(21203,plain,
! [A: $i] :
( ( ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ ( A @ occurrence_of ) ) ),
inference(simp,[status(thm)],[21202]) ).
thf(21204,plain,
tptp0 @ ( sk1 @ sk5 @ sk3 ) @ sk19 @ ( tptp0 @ ( sk1 @ sk5 @ sk3 ) @ occurrence_of ),
inference(pattern_uni,[status(thm)],[21203:[bind(A,$thf( tptp0 @ ( sk1 @ sk5 @ sk3 ) ))]]) ).
thf(1209,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1192,218]) ).
thf(1210,plain,
! [A: $i] :
( ( ( sk1 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity ) ),
inference(simp,[status(thm)],[1209]) ).
thf(1211,plain,
sk1 @ sk19 @ activity,
inference(pattern_uni,[status(thm)],[1210:[bind(A,$thf( sk1 ))]]) ).
thf(14955,plain,
! [A: $i] :
( ( A != sk1 )
| ( tptp0 @ sk19 @ activity )
| ~ ( A @ ( sk1 @ occurrence_of ) ) ),
inference(paramod_ordered,[status(thm)],[13365,1211]) ).
thf(14956,plain,
( ( tptp0 @ sk19 @ activity )
| ~ ( sk1 @ ( sk1 @ occurrence_of ) ) ),
inference(pattern_uni,[status(thm)],[14955:[bind(A,$thf( sk1 ))]]) ).
thf(1187,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[994,171]) ).
thf(1188,plain,
! [B: $i,A: $i] :
( ( ( tptp2 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( A @ ( B @ occurrence_of ) ) )
| ( B @ activity_occurrence )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1187]) ).
thf(1189,plain,
( ( sk1 @ sk7 @ activity_occurrence )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1188:[bind(A,$thf( tptp2 )),bind(B,$thf( sk1 @ sk7 ))]]) ).
thf(1344,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ~ $true
| ( tptp1 @ activity ) ),
inference(paramod_ordered,[status(thm)],[1189,218]) ).
thf(1345,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ activity_occurrence )
!= ( A @ activity_occurrence ) )
| ( A @ sk19 @ activity )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1344]) ).
thf(1346,plain,
( ( sk1 @ sk7 @ sk19 @ activity )
| ( tptp1 @ activity ) ),
inference(pattern_uni,[status(thm)],[1345:[bind(A,$thf( sk1 @ sk7 ))]]) ).
thf(1376,plain,
( ~ $true
| ( ( sk1 @ sk7 @ sk19 @ activity )
!= ( tptp1 @ activity ) )
| ( tptp1 @ activity ) ),
inference(eqfactor_ordered,[status(thm)],[1346]) ).
thf(1378,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp1 )
| ( tptp1 @ activity ) ),
inference(simp,[status(thm)],[1376]) ).
thf(28380,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,16486]) ).
thf(28381,plain,
( ( ( sk1 @ ( sk1 @ occurrence_of ) )
!= ( tptp0 @ ( sk1 @ occurrence_of ) ) )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[28380]) ).
thf(28497,plain,
( ( sk1 != tptp0 )
| ( sk1 != sk1 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[28381]) ).
thf(28568,plain,
( ( sk1 != tptp0 )
| ~ ( tptp2 @ ( tptp0 @ occurrence_of ) ) ),
inference(simp,[status(thm)],[28497]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk16 ) @ min_precedes ) ) )
| ( B @ ( A @ root ) )
| ~ ( B @ ( A @ leaf ) ) ),
inference(cnfConj,[status(thm)],[199]) ).
thf(6759,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6719,68]) ).
thf(6760,plain,
! [B: $i,A: $i] :
( ( ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ root ) )
!= ( A @ ( B @ root ) ) )
| ( A @ ( A @ ( B @ sk2 ) @ subactivity ) ) ),
inference(simp,[status(thm)],[6759]) ).
thf(6761,plain,
tptp0 @ ( tptp0 @ ( tptp0 @ ( sk1 @ sk9 ) @ sk2 ) @ subactivity ),
inference(pattern_uni,[status(thm)],[6760:[bind(A,$thf( tptp0 )),bind(B,$thf( tptp0 @ ( sk1 @ sk9 ) ))]]) ).
thf(1873,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(paramod_ordered,[status(thm)],[1745,379]) ).
thf(1874,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 @ ( sk1 @ sk7 @ occurrence_of ) )
!= ( tptp2 @ ( A @ occurrence_of ) ) )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1873]) ).
thf(1915,plain,
! [A: $i] :
( ( ( sk1 @ sk7 @ sk19 )
!= tptp2 )
| ( ( sk1 @ sk7 )
!= A )
| ~ ( tptp0 @ ( A @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1874]) ).
thf(1933,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ ( sk1 @ ( sk1 @ sk5 @ root_occ ) ) ),
inference(simp,[status(thm)],[1915]) ).
thf(3636,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1933,3466]) ).
thf(3637,plain,
( ( ( sk1 @ sk7 @ sk19 )
!= tptp2 )
| ~ ( tptp0 @ ( sk1 @ sk7 @ ( sk1 @ sk5 @ min_precedes ) ) ) ),
inference(simp,[status(thm)],[3636]) ).
thf(17634,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17584,87]) ).
thf(17635,plain,
! [A: $i] :
( ( ( sk1 @ sk6 @ legal )
!= ( A @ legal ) )
| ( A @ arboreal ) ),
inference(simp,[status(thm)],[17634]) ).
thf(17636,plain,
sk1 @ sk6 @ arboreal,
inference(pattern_uni,[status(thm)],[17635:[bind(A,$thf( sk1 @ sk6 ))]]) ).
thf(1012,plain,
! [A: $i] :
( ( ( tptp3 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1000,89]) ).
thf(1013,plain,
! [A: $i] :
( ( ( tptp3 @ activity )
!= ( A @ activity ) )
| ( A @ ( A @ subactivity ) ) ),
inference(simp,[status(thm)],[1012]) ).
thf(1014,plain,
tptp3 @ ( tptp3 @ subactivity ),
inference(pattern_uni,[status(thm)],[1013:[bind(A,$thf( tptp3 ))]]) ).
thf(60098,plain,
$false,
inference(e,[status(thm)],[69,31720,138,101,10495,31725,24981,88,1031,21486,170,6791,1924,115,36478,1290,33277,994,2014,20937,25921,7208,2099,32257,38856,56,1137,10594,153,1507,15514,142,30209,10881,26542,34171,185,3545,6009,2010,3466,31293,21239,257,29282,7136,184,2269,32543,36300,125,196,17017,110,6071,189,4194,93,228,78,32561,21807,31696,27451,13365,57,216,164,211,106,121,84,22608,10419,2105,179,147,1928,61,221,10538,132,74,10690,89,133,1201,17719,206,4475,18081,21078,5839,16333,220,102,1067,38605,17526,60,117,85,201,1223,302,160,70,165,15330,6897,92,229,197,65,31702,24111,97,29718,17114,26779,224,17032,2112,1936,32555,1143,36861,26980,1006,27684,256,1028,36696,34938,37227,193,16903,26274,1937,2108,3643,212,96,16889,26387,32265,1192,173,129,21823,16473,1759,1525,1530,15927,26307,73,128,1202,15414,18626,27845,22835,26986,32201,28258,105,34184,148,14982,64,180,32262,733,10425,176,26880,17280,16486,17028,259,59,118,71,54,17801,1271,21336,17341,181,30851,86,159,30406,16883,219,7130,16774,81,36004,208,32717,10842,187,18382,172,10532,113,3631,890,21084,323,15297,20999,66,1022,155,34990,15049,31727,33264,3539,130,15511,135,1000,226,14675,26931,167,24081,223,267,4497,10617,26591,162,10488,112,123,26491,6719,194,3988,1748,63,1025,32644,150,18009,21039,27137,95,33387,21779,22157,20919,28959,31735,17584,154,72,175,7202,10432,143,35003,2013,17030,1180,87,218,104,16470,6077,26752,28974,158,23392,1745,139,32549,22865,27699,25939,258,26597,186,2004,55,114,171,14980,3561,2447,75,58,7187,36491,207,18337,33553,17116,10483,17015,82,17397,151,168,146,51,15027,190,20913,183,37476,210,107,79,195,28122,21436,126,136,4350,21204,14956,1236,332,5803,1378,32552,68,982,178,28568,163,200,122,6733,6761,3637,1204,222,6722,17636,100,1014,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.39 % Computer : n026.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Sep 26 05:01:10 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.24/1.23 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.75/1.55 % [INFO] Parsing done (310ms).
% 1.75/1.57 % [INFO] Running in sequential loop mode.
% 2.70/2.07 % [INFO] eprover registered as external prover.
% 2.70/2.08 % [INFO] Scanning for conjecture ...
% 2.92/2.20 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 3.00/2.29 % [INFO] Axiom selection finished. Selected 48 axioms (removed 0 axioms).
% 3.22/2.37 % [INFO] Problem is first-order (TPTP FOF).
% 3.22/2.39 % [INFO] Type checking passed.
% 3.22/2.39 % [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 ...
% 186.24/46.22 % External prover 'e' found a proof!
% 186.24/46.22 % [INFO] Killing All external provers ...
% 186.24/46.22 % Time passed: 45660ms (effective reasoning time: 44649ms)
% 186.24/46.22 % 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)>
% 186.24/46.23 % 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
% 186.24/46.23 % No. of inferences in proof: 987
% 186.24/46.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 45660 ms resp. 44649 ms w/o parsing
% 177.45/46.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 177.45/46.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------