TSTP Solution File: CSR024+1.009 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR024+1.009 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:30:26 EDT 2024
% Result : Theorem 6.09s 2.58s
% Output : Refutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 95
% Syntax : Number of formulae : 146 ( 37 unt; 46 typ; 0 def)
% Number of atoms : 662 ( 354 equ; 0 cnn)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 1974 ( 278 ~; 79 |; 411 &;1134 @)
% ( 16 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 46 usr; 29 con; 0-4 aty)
% Number of variables : 188 ( 0 ^ 154 !; 34 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
thf(holdsAt_type,type,
holdsAt: $i > $i > $o ).
thf(spinning_type,type,
spinning: $i > $i ).
thf(trolley1_type,type,
trolley1: $i ).
thf(n1_type,type,
n1: $i ).
thf(trolley2_type,type,
trolley2: $i ).
thf(trolley3_type,type,
trolley3: $i ).
thf(trolley4_type,type,
trolley4: $i ).
thf(trolley5_type,type,
trolley5: $i ).
thf(trolley6_type,type,
trolley6: $i ).
thf(trolley7_type,type,
trolley7: $i ).
thf(trolley8_type,type,
trolley8: $i ).
thf(trolley9_type,type,
trolley9: $i ).
thf(less_type,type,
less: $i > $i > $o ).
thf(n5_type,type,
n5: $i ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(n4_type,type,
n4: $i ).
thf(n8_type,type,
n8: $i ).
thf(n7_type,type,
n7: $i ).
thf(releases_type,type,
releases: $i > $i > $i > $o ).
thf(n3_type,type,
n3: $i ).
thf(n2_type,type,
n2: $i ).
thf(pull_type,type,
pull: $i > $i > $i ).
thf(stoppedIn_type,type,
stoppedIn: $i > $i > $i > $o ).
thf(happens_type,type,
happens: $i > $i > $o ).
thf(terminates_type,type,
terminates: $i > $i > $i > $o ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(startedIn_type,type,
startedIn: $i > $i > $i > $o ).
thf(initiates_type,type,
initiates: $i > $i > $i > $o ).
thf(push_type,type,
push: $i > $i > $i ).
thf(n9_type,type,
n9: $i ).
thf(releasedAt_type,type,
releasedAt: $i > $i > $o ).
thf(n6_type,type,
n6: $i ).
thf(forwards_type,type,
forwards: $i > $i ).
thf(backwards_type,type,
backwards: $i > $i ).
thf(agent1_type,type,
agent1: $i ).
thf(agent2_type,type,
agent2: $i ).
thf(agent3_type,type,
agent3: $i ).
thf(agent4_type,type,
agent4: $i ).
thf(agent5_type,type,
agent5: $i ).
thf(agent6_type,type,
agent6: $i ).
thf(agent7_type,type,
agent7: $i ).
thf(agent8_type,type,
agent8: $i ).
thf(agent9_type,type,
agent9: $i ).
thf(trajectory_type,type,
trajectory: $i > $i > $i > $i > $o ).
thf(antitrajectory_type,type,
antitrajectory: $i > $i > $i > $i > $o ).
thf(23,axiom,
( ( plus @ n2 @ n3 )
= n5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_3) ).
thf(138,plain,
( ( plus @ n2 @ n3 )
= n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
! [A: $i] :
( ( less @ A @ n6 )
<=> ( less_or_equal @ A @ n5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less6) ).
thf(120,plain,
! [A: $i] :
( ( ( less @ A @ n6 )
=> ( less_or_equal @ A @ n5 ) )
& ( ( less_or_equal @ A @ n5 )
=> ( less @ A @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,axiom,
! [A: $i] :
( ( less @ A @ n5 )
<=> ( less_or_equal @ A @ n4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less5) ).
thf(53,plain,
! [A: $i] :
( ( ( less @ A @ n5 )
=> ( less_or_equal @ A @ n4 ) )
& ( ( less_or_equal @ A @ n4 )
=> ( less @ A @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(44,axiom,
( ( plus @ n0 @ n1 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
thf(419,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( terminates @ A @ C @ B ) )
=> ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
thf(394,plain,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( terminates @ A @ C @ B ) )
=> ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
~ ( releases @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',releases_all_defn) ).
thf(63,plain,
! [A: $i,B: $i,C: $i] :
~ ( releases @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( initiates @ A @ B @ C )
<=> ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
thf(163,plain,
! [A: $i,B: $i,C: $i] :
( ( ( initiates @ A @ B @ C )
=> ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) ) )
=> ( initiates @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( terminates @ A @ B @ C )
<=> ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( push @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
thf(337,plain,
! [A: $i,B: $i,C: $i] :
( ( ( terminates @ A @ B @ C )
=> ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( push @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( A
= ( push @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( forwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( backwards @ E ) )
& ( happens @ ( push @ D @ E ) @ C ) )
| ( ( A
= ( push @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( pull @ D @ E ) @ C ) )
| ( ( A
= ( pull @ D @ E ) )
& ( B
= ( spinning @ E ) )
& ~ ( happens @ ( push @ D @ E ) @ C ) ) )
=> ( terminates @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(50,axiom,
( ( plus @ n1 @ n2 )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
thf(587,plain,
( ( plus @ n1 @ n2 )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( less @ A @ B )
<=> ( ~ ( less @ B @ A )
& ( B != A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
thf(125,plain,
! [A: $i,B: $i] :
( ( ( less @ A @ B )
=> ( ~ ( less @ B @ A )
& ( B != A ) ) )
& ( ( ~ ( less @ B @ A )
& ( B != A ) )
=> ( less @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(30,axiom,
( ( trolley1 != trolley2 )
& ( agent1 != agent2 )
& ( trolley1 != trolley3 )
& ( agent1 != agent3 )
& ( trolley1 != trolley4 )
& ( agent1 != agent4 )
& ( trolley1 != trolley5 )
& ( agent1 != agent5 )
& ( trolley1 != trolley6 )
& ( agent1 != agent6 )
& ( trolley1 != trolley7 )
& ( agent1 != agent7 )
& ( trolley1 != trolley8 )
& ( agent1 != agent8 )
& ( trolley1 != trolley9 )
& ( agent1 != agent9 )
& ( trolley2 != trolley3 )
& ( agent2 != agent3 )
& ( trolley2 != trolley4 )
& ( agent2 != agent4 )
& ( trolley2 != trolley5 )
& ( agent2 != agent5 )
& ( trolley2 != trolley6 )
& ( agent2 != agent6 )
& ( trolley2 != trolley7 )
& ( agent2 != agent7 )
& ( trolley2 != trolley8 )
& ( agent2 != agent8 )
& ( trolley2 != trolley9 )
& ( agent2 != agent9 )
& ( trolley3 != trolley4 )
& ( agent3 != agent4 )
& ( trolley3 != trolley5 )
& ( agent3 != agent5 )
& ( trolley3 != trolley6 )
& ( agent3 != agent6 )
& ( trolley3 != trolley7 )
& ( agent3 != agent7 )
& ( trolley3 != trolley8 )
& ( agent3 != agent8 )
& ( trolley3 != trolley9 )
& ( agent3 != agent9 )
& ( trolley4 != trolley5 )
& ( agent4 != agent5 )
& ( trolley4 != trolley6 )
& ( agent4 != agent6 )
& ( trolley4 != trolley7 )
& ( agent4 != agent7 )
& ( trolley4 != trolley8 )
& ( agent4 != agent8 )
& ( trolley4 != trolley9 )
& ( agent4 != agent9 )
& ( trolley5 != trolley6 )
& ( agent5 != agent6 )
& ( trolley5 != trolley7 )
& ( agent5 != agent7 )
& ( trolley5 != trolley8 )
& ( agent5 != agent8 )
& ( trolley5 != trolley9 )
& ( agent5 != agent9 )
& ( trolley6 != trolley7 )
& ( agent6 != agent7 )
& ( trolley6 != trolley8 )
& ( agent6 != agent8 )
& ( trolley6 != trolley9 )
& ( agent6 != agent9 )
& ( trolley7 != trolley8 )
& ( agent7 != agent8 )
& ( trolley7 != trolley9 )
& ( agent7 != agent9 )
& ( trolley8 != trolley9 )
& ( agent8 != agent9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_agents_and_trolleys) ).
thf(189,plain,
( ( trolley1 != trolley2 )
& ( agent1 != agent2 )
& ( trolley1 != trolley3 )
& ( agent1 != agent3 )
& ( trolley1 != trolley4 )
& ( agent1 != agent4 )
& ( trolley1 != trolley5 )
& ( agent1 != agent5 )
& ( trolley1 != trolley6 )
& ( agent1 != agent6 )
& ( trolley1 != trolley7 )
& ( agent1 != agent7 )
& ( trolley1 != trolley8 )
& ( agent1 != agent8 )
& ( trolley1 != trolley9 )
& ( agent1 != agent9 )
& ( trolley2 != trolley3 )
& ( agent2 != agent3 )
& ( trolley2 != trolley4 )
& ( agent2 != agent4 )
& ( trolley2 != trolley5 )
& ( agent2 != agent5 )
& ( trolley2 != trolley6 )
& ( agent2 != agent6 )
& ( trolley2 != trolley7 )
& ( agent2 != agent7 )
& ( trolley2 != trolley8 )
& ( agent2 != agent8 )
& ( trolley2 != trolley9 )
& ( agent2 != agent9 )
& ( trolley3 != trolley4 )
& ( agent3 != agent4 )
& ( trolley3 != trolley5 )
& ( agent3 != agent5 )
& ( trolley3 != trolley6 )
& ( agent3 != agent6 )
& ( trolley3 != trolley7 )
& ( agent3 != agent7 )
& ( trolley3 != trolley8 )
& ( agent3 != agent8 )
& ( trolley3 != trolley9 )
& ( agent3 != agent9 )
& ( trolley4 != trolley5 )
& ( agent4 != agent5 )
& ( trolley4 != trolley6 )
& ( agent4 != agent6 )
& ( trolley4 != trolley7 )
& ( agent4 != agent7 )
& ( trolley4 != trolley8 )
& ( agent4 != agent8 )
& ( trolley4 != trolley9 )
& ( agent4 != agent9 )
& ( trolley5 != trolley6 )
& ( agent5 != agent6 )
& ( trolley5 != trolley7 )
& ( agent5 != agent7 )
& ( trolley5 != trolley8 )
& ( agent5 != agent8 )
& ( trolley5 != trolley9 )
& ( agent5 != agent9 )
& ( trolley6 != trolley7 )
& ( agent6 != agent7 )
& ( trolley6 != trolley8 )
& ( agent6 != agent8 )
& ( trolley6 != trolley9 )
& ( agent6 != agent9 )
& ( trolley7 != trolley8 )
& ( agent7 != agent8 )
& ( trolley7 != trolley9 )
& ( agent7 != agent9 )
& ( trolley8 != trolley9 )
& ( agent8 != agent9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( ( initiates @ A @ C @ B )
| ( terminates @ A @ C @ B ) ) )
=> ~ ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
thf(421,plain,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( ( initiates @ A @ C @ B )
| ( terminates @ A @ C @ B ) ) )
=> ~ ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(36,axiom,
( ( plus @ n1 @ n3 )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
thf(396,plain,
( ( plus @ n1 @ n3 )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(11,axiom,
( ( plus @ n2 @ n2 )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_2) ).
thf(89,plain,
( ( plus @ n2 @ n2 )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(47,axiom,
( ( plus @ n1 @ n1 )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
thf(428,plain,
( ( plus @ n1 @ n1 )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( stoppedIn @ A @ B @ C )
<=> ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ C )
& ( terminates @ D @ B @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] :
( ( ( stoppedIn @ A @ B @ C )
=> ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ C )
& ( terminates @ D @ B @ E ) ) )
& ( ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ C )
& ( terminates @ D @ B @ E ) )
=> ( stoppedIn @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [A: $i,B: $i] :
~ ( releasedAt @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_releasedAt) ).
thf(117,plain,
! [A: $i,B: $i] :
~ ( releasedAt @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(14,axiom,
~ ? [A: $i] : ( less @ A @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
thf(102,plain,
~ ? [A: $i] : ( less @ A @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( ~ ( holdsAt @ A @ B )
& ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( initiates @ C @ A @ B ) ) )
=> ~ ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_holding) ).
thf(334,plain,
! [A: $i,B: $i] :
( ( ~ ( holdsAt @ A @ B )
& ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( initiates @ C @ A @ B ) ) )
=> ~ ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( ( releasedAt @ A @ B )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( ( initiates @ C @ A @ B )
| ( terminates @ C @ A @ B ) ) ) )
=> ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_released) ).
thf(160,plain,
! [A: $i,B: $i] :
( ( ( releasedAt @ A @ B )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( ( initiates @ C @ A @ B )
| ( terminates @ C @ A @ B ) ) ) )
=> ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( releases @ A @ C @ B ) )
=> ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_releases) ).
thf(392,plain,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( releases @ A @ C @ B ) )
=> ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(46,axiom,
! [A: $i] :
( ( forwards @ A )
!= ( spinning @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_spinning) ).
thf(424,plain,
! [A: $i] :
( ( forwards @ A )
!= ( spinning @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ~ ( releasedAt @ A @ B )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( releases @ C @ A @ B ) ) )
=> ~ ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_released) ).
thf(407,plain,
! [A: $i,B: $i] :
( ( ~ ( releasedAt @ A @ B )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( releases @ C @ A @ B ) ) )
=> ~ ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(21,axiom,
( ( plus @ n0 @ n3 )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).
thf(134,plain,
( ( plus @ n0 @ n3 )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
thf(105,plain,
! [A: $i,B: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( initiates @ A @ C @ B ) )
=> ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_holds) ).
thf(398,plain,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( initiates @ A @ C @ B ) )
=> ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ( holdsAt @ A @ B )
& ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( terminates @ C @ A @ B ) ) )
=> ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_holding) ).
thf(412,plain,
! [A: $i,B: $i] :
( ( ( holdsAt @ A @ B )
& ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
& ~ ? [C: $i] :
( ( happens @ C @ B )
& ( terminates @ C @ A @ B ) ) )
=> ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(48,axiom,
( ~ ( holdsAt @ ( forwards @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley9 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley9 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley9 ) @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_cond) ).
thf(430,plain,
( ~ ( holdsAt @ ( forwards @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley1 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley2 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley3 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley4 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley5 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley6 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley7 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley8 ) @ n0 )
& ~ ( holdsAt @ ( forwards @ trolley9 ) @ n0 )
& ~ ( holdsAt @ ( backwards @ trolley9 ) @ n0 )
& ~ ( holdsAt @ ( spinning @ trolley9 ) @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A != B )
& ( C != D ) )
=> ( ( pull @ A @ C )
!= ( pull @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pull_unique) ).
thf(71,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A != B )
& ( C != D ) )
=> ( ( pull @ A @ C )
!= ( pull @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,axiom,
( ( plus @ n0 @ n2 )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
thf(144,plain,
( ( plus @ n0 @ n2 )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(33,axiom,
! [A: $i] :
( ( less @ A @ n2 )
<=> ( less_or_equal @ A @ n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
thf(387,plain,
! [A: $i] :
( ( ( less @ A @ n2 )
=> ( less_or_equal @ A @ n1 ) )
& ( ( less_or_equal @ A @ n1 )
=> ( less @ A @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(24,axiom,
! [A: $i] :
( ( forwards @ A )
!= ( backwards @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_backwards) ).
thf(140,plain,
! [A: $i] :
( ( forwards @ A )
!= ( backwards @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( startedIn @ A @ C @ B )
<=> ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ B )
& ( initiates @ D @ C @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',startedin_defn) ).
thf(91,plain,
! [A: $i,B: $i,C: $i] :
( ( ( startedIn @ A @ C @ B )
=> ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ B )
& ( initiates @ D @ C @ E ) ) )
& ( ? [D: $i,E: $i] :
( ( happens @ D @ E )
& ( less @ A @ E )
& ( less @ E @ B )
& ( initiates @ D @ C @ E ) )
=> ( startedIn @ A @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [A: $i] :
( ( less @ A @ n3 )
<=> ( less_or_equal @ A @ n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
thf(66,plain,
! [A: $i] :
( ( ( less @ A @ n3 )
=> ( less_or_equal @ A @ n2 ) )
& ( ( less_or_equal @ A @ n2 )
=> ( less @ A @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(27,axiom,
! [A: $i] :
( ( less @ A @ n7 )
<=> ( less_or_equal @ A @ n6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less7) ).
thf(155,plain,
! [A: $i] :
( ( ( less @ A @ n7 )
=> ( less_or_equal @ A @ n6 ) )
& ( ( less_or_equal @ A @ n6 )
=> ( less @ A @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( push @ A @ B )
!= ( pull @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',push_not_pull) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( push @ A @ B )
!= ( pull @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,axiom,
! [A: $i] :
( ( less @ A @ n9 )
<=> ( less_or_equal @ A @ n8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less9) ).
thf(112,plain,
! [A: $i] :
( ( ( less @ A @ n9 )
=> ( less_or_equal @ A @ n8 ) )
& ( ( less_or_equal @ A @ n8 )
=> ( less @ A @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( happens @ A @ B )
<=> ( ( ( A
= ( pull @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent9 @ trolley9 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent9 @ trolley9 ) )
& ( B = n0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
thf(458,plain,
! [A: $i,B: $i] :
( ( ( happens @ A @ B )
=> ( ( ( A
= ( pull @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent9 @ trolley9 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent9 @ trolley9 ) )
& ( B = n0 ) ) ) )
& ( ( ( ( A
= ( pull @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent1 @ trolley1 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent2 @ trolley2 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent3 @ trolley3 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent4 @ trolley4 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent5 @ trolley5 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent6 @ trolley6 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent7 @ trolley7 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent8 @ trolley8 ) )
& ( B = n0 ) )
| ( ( A
= ( pull @ agent9 @ trolley9 ) )
& ( B = n0 ) )
| ( ( A
= ( push @ agent9 @ trolley9 ) )
& ( B = n0 ) ) )
=> ( happens @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A != B )
& ( C != D ) )
=> ( ( push @ A @ C )
!= ( push @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',push_unique) ).
thf(99,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A != B )
& ( C != D ) )
=> ( ( push @ A @ C )
!= ( push @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
( ( plus @ n0 @ n0 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_0) ).
thf(87,plain,
( ( plus @ n0 @ n0 )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,axiom,
! [A: $i] :
( ( less @ A @ n8 )
<=> ( less_or_equal @ A @ n7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less8) ).
thf(58,plain,
! [A: $i] :
( ( ( less @ A @ n8 )
=> ( less_or_equal @ A @ n7 ) )
& ( ( less_or_equal @ A @ n7 )
=> ( less @ A @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: $i] :
( ( less @ A @ n4 )
<=> ( less_or_equal @ A @ n3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less4) ).
thf(82,plain,
! [A: $i] :
( ( ( less @ A @ n4 )
=> ( less_or_equal @ A @ n3 ) )
& ( ( less_or_equal @ A @ n3 )
=> ( less @ A @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( happens @ A @ B )
& ( terminates @ A @ C @ B )
& ( less @ n0 @ D )
& ( antitrajectory @ C @ B @ E @ D )
& ~ ( startedIn @ B @ C @ ( plus @ B @ D ) ) )
=> ( holdsAt @ E @ ( plus @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antitrajectory) ).
thf(410,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( happens @ A @ B )
& ( terminates @ A @ C @ B )
& ( less @ n0 @ D )
& ( antitrajectory @ C @ B @ E @ D )
& ~ ( startedIn @ B @ C @ ( plus @ B @ D ) ) )
=> ( holdsAt @ E @ ( plus @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( less_or_equal @ A @ B )
<=> ( ( less @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
thf(146,plain,
! [A: $i,B: $i] :
( ( ( less_or_equal @ A @ B )
=> ( ( less @ A @ B )
| ( A = B ) ) )
& ( ( ( less @ A @ B )
| ( A = B ) )
=> ( less_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(1,conjecture,
( ( holdsAt @ ( spinning @ trolley1 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley2 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley3 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley4 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley5 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley6 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley7 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley8 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley9 ) @ n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_3) ).
thf(2,negated_conjecture,
~ ( ( holdsAt @ ( spinning @ trolley1 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley2 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley3 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley4 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley5 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley6 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley7 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley8 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley9 ) @ n1 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(51,plain,
~ ( ( holdsAt @ ( spinning @ trolley1 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley2 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley3 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley4 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley5 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley6 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley7 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley8 ) @ n1 )
& ( holdsAt @ ( spinning @ trolley9 ) @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( happens @ A @ B )
& ( initiates @ A @ C @ B )
& ( less @ n0 @ E )
& ( trajectory @ C @ B @ D @ E )
& ~ ( stoppedIn @ B @ C @ ( plus @ B @ E ) ) )
=> ( holdsAt @ D @ ( plus @ B @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_holding) ).
thf(405,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( happens @ A @ B )
& ( initiates @ A @ C @ B )
& ( less @ n0 @ E )
& ( trajectory @ C @ B @ D @ E )
& ~ ( stoppedIn @ B @ C @ ( plus @ B @ E ) ) )
=> ( holdsAt @ D @ ( plus @ B @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(22,axiom,
( ( plus @ n3 @ n3 )
= n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus3_3) ).
thf(136,plain,
( ( plus @ n3 @ n3 )
= n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(38,axiom,
! [A: $i] :
( ( less @ A @ n1 )
<=> ( less_or_equal @ A @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
thf(400,plain,
! [A: $i] :
( ( ( less @ A @ n1 )
=> ( less_or_equal @ A @ n0 ) )
& ( ( less_or_equal @ A @ n0 )
=> ( less @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(43,axiom,
! [A: $i] :
( ( spinning @ A )
!= ( backwards @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_not_backwards) ).
thf(415,plain,
! [A: $i] :
( ( spinning @ A )
!= ( backwards @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(589,plain,
$false,
inference(e,[status(thm)],[138,120,53,419,394,63,163,337,587,125,189,421,396,89,428,74,117,102,334,160,392,424,407,134,105,398,412,430,71,144,387,140,91,66,155,108,112,458,99,87,58,82,410,146,51,405,136,400,415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR024+1.009 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 15:44:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.45/1.05 % [INFO] Parsing done (177ms).
% 1.45/1.06 % [INFO] Running in sequential loop mode.
% 1.93/1.28 % [INFO] eprover registered as external prover.
% 1.93/1.28 % [INFO] cvc4 registered as external prover.
% 1.93/1.28 % [INFO] Scanning for conjecture ...
% 2.15/1.36 % [INFO] Found a conjecture and 57 axioms. Running axiom selection ...
% 2.31/1.43 % [INFO] Axiom selection finished. Selected 48 axioms (removed 9 axioms).
% 2.90/1.53 % [INFO] Problem is first-order (TPTP FOF).
% 2.90/1.54 % [INFO] Type checking passed.
% 2.90/1.54 % [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 ...
% 6.09/2.57 % External prover 'e' found a proof!
% 6.09/2.57 % [INFO] Killing All external provers ...
% 6.09/2.58 % Time passed: 2025ms (effective reasoning time: 1516ms)
% 6.09/2.58 % 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)>
% 6.09/2.58 % Axioms used in derivation (48): keep_holding, less0, less4, plus3_3, plus0_3, plus1_2, happens_holds, releases_all_defn, less8, less_property, antitrajectory, spinning_not_backwards, keep_not_holding, plus0_0, happens_terminates_not_holds, push_unique, plus1_1, not_releasedAt, stoppedin_defn, less1, keep_released, plus2_3, happens_all_defn, distinct_agents_and_trolleys, less3, plus0_1, symmetry_of_plus, less7, initiates_all_defn, keep_not_released, terminates_all_defn, pull_unique, less2, push_not_pull, plus2_2, less9, forwards_not_spinning, plus0_2, plus1_3, change_holding, less6, happens_releases, less5, startedin_defn, happens_not_released, forwards_not_backwards, less_or_equal, initial_cond
% 6.09/2.58 % No. of inferences in proof: 100
% 6.09/2.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2025 ms resp. 1516 ms w/o parsing
% 6.51/2.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.51/2.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------