%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR024+1.009 : TPTP v9.3.1. Bugfixed v3.1.0.
% 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 : n015.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 07:00:04 AM UTC 2026
% Result : Theorem 7.50s 7.42s
% Output : Refutation 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 49
% Syntax : Number of formulae : 100 ( 37 unt; 0 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 : 0 ( 0 >; 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_decl,type,
holdsAt: $i > $i > $o ).
thf(spinning_decl,type,
spinning: $i > $i ).
thf(trolley1_decl,type,
trolley1: $i ).
thf(n1_decl,type,
n1: $i ).
thf(trolley2_decl,type,
trolley2: $i ).
thf(trolley3_decl,type,
trolley3: $i ).
thf(trolley4_decl,type,
trolley4: $i ).
thf(trolley5_decl,type,
trolley5: $i ).
thf(trolley6_decl,type,
trolley6: $i ).
thf(trolley7_decl,type,
trolley7: $i ).
thf(trolley8_decl,type,
trolley8: $i ).
thf(trolley9_decl,type,
trolley9: $i ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(n5_decl,type,
n5: $i ).
thf(less_or_equal_decl,type,
less_or_equal: $i > $i > $o ).
thf(n4_decl,type,
n4: $i ).
thf(n8_decl,type,
n8: $i ).
thf(n7_decl,type,
n7: $i ).
thf(releases_decl,type,
releases: $i > $i > $i > $o ).
thf(n3_decl,type,
n3: $i ).
thf(n2_decl,type,
n2: $i ).
thf(pull_decl,type,
pull: $i > $i > $i ).
thf(stoppedIn_decl,type,
stoppedIn: $i > $i > $i > $o ).
thf(happens_decl,type,
happens: $i > $i > $o ).
thf(terminates_decl,type,
terminates: $i > $i > $i > $o ).
thf(plus_decl,type,
plus: $i > $i > $i ).
thf(n0_decl,type,
n0: $i ).
thf(startedIn_decl,type,
startedIn: $i > $i > $i > $o ).
thf(initiates_decl,type,
initiates: $i > $i > $i > $o ).
thf(push_decl,type,
push: $i > $i > $i ).
thf(n9_decl,type,
n9: $i ).
thf(releasedAt_decl,type,
releasedAt: $i > $i > $o ).
thf(n6_decl,type,
n6: $i ).
thf(forwards_decl,type,
forwards: $i > $i ).
thf(backwards_decl,type,
backwards: $i > $i ).
thf(agent1_decl,type,
agent1: $i ).
thf(agent2_decl,type,
agent2: $i ).
thf(agent3_decl,type,
agent3: $i ).
thf(agent4_decl,type,
agent4: $i ).
thf(agent5_decl,type,
agent5: $i ).
thf(agent6_decl,type,
agent6: $i ).
thf(agent7_decl,type,
agent7: $i ).
thf(agent8_decl,type,
agent8: $i ).
thf(agent9_decl,type,
agent9: $i ).
thf(trajectory_decl,type,
trajectory: $i > $i > $i > $i > $o ).
thf(antitrajectory_decl,type,
antitrajectory: $i > $i > $i > $i > $o ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ terminates ) ) )
<=> ? [D: $i,E: $i] :
( ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ push ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).
thf(352,plain,
! [A: $i,B: $i,C: $i] :
( ( ? [D: $i,E: $i] :
( ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ push ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) )
=> ( C @ ( B @ ( A @ terminates ) ) ) )
& ( ( C @ ( B @ ( A @ terminates ) ) )
=> ? [D: $i,E: $i] :
( ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ push ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(25,axiom,
( ( n2 @ ( n0 @ plus ) )
= n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
thf(153,plain,
( ( n2 @ ( n0 @ plus ) )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(38,axiom,
! [A: $i] :
( ( n1 @ ( A @ less ) )
<=> ( n0 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
thf(417,plain,
! [A: $i] :
( ( ( n0 @ ( A @ less_or_equal ) )
=> ( n1 @ ( A @ less ) ) )
& ( ( n1 @ ( A @ less ) )
=> ( n0 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(44,axiom,
( ( n1 @ ( n0 @ plus ) )
= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
thf(439,plain,
( ( n1 @ ( n0 @ plus ) )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C != D )
& ( A != B ) )
=> ( ( C @ ( A @ push ) )
!= ( D @ ( B @ push ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',push_unique) ).
thf(105,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C != D )
& ( A != B ) )
=> ( ( C @ ( A @ push ) )
!= ( D @ ( B @ push ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(48,axiom,
( ~ ( n0 @ ( trolley9 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley9 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley9 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ forwards @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_cond) ).
thf(451,plain,
( ~ ( n0 @ ( trolley9 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley9 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley9 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley8 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley7 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley6 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley5 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley4 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley3 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley2 @ forwards @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ spinning @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ backwards @ holdsAt ) )
& ~ ( n0 @ ( trolley1 @ forwards @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ terminates ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) )
& ( B @ ( A @ holdsAt ) ) )
=> ( n1 @ ( B @ plus ) @ ( A @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).
thf(431,plain,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ terminates ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) )
& ( B @ ( A @ holdsAt ) ) )
=> ( n1 @ ( B @ plus ) @ ( A @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(22,axiom,
( ( n3 @ ( n3 @ plus ) )
= n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus3_3) ).
thf(145,plain,
( ( n3 @ ( n3 @ plus ) )
= n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ releases ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ releasedAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_releases) ).
thf(409,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ releases ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ releasedAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(1,conjecture,
( ( n1 @ ( trolley9 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley8 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley7 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley6 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley5 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley4 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley3 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley2 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley1 @ spinning @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_3) ).
thf(2,negated_conjecture,
~ ( ( n1 @ ( trolley9 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley8 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley7 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley6 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley5 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley4 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley3 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley2 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley1 @ spinning @ holdsAt ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(51,plain,
~ ( ( n1 @ ( trolley9 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley8 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley7 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley6 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley5 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley4 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley3 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley2 @ spinning @ holdsAt ) )
& ( n1 @ ( trolley1 @ spinning @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: $i] :
( ( n3 @ ( A @ less ) )
<=> ( n2 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
thf(68,plain,
! [A: $i] :
( ( ( n2 @ ( A @ less_or_equal ) )
=> ( n3 @ ( A @ less ) ) )
& ( ( n3 @ ( A @ less ) )
=> ( n2 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ plus ) )
= ( A @ ( B @ plus ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
thf(111,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ plus ) )
= ( A @ ( B @ plus ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(47,axiom,
( ( n1 @ ( n1 @ plus ) )
= n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
thf(449,plain,
( ( n1 @ ( n1 @ plus ) )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(30,axiom,
( ( agent8 != agent9 )
& ( trolley8 != trolley9 )
& ( agent7 != agent9 )
& ( trolley7 != trolley9 )
& ( agent7 != agent8 )
& ( trolley7 != trolley8 )
& ( agent6 != agent9 )
& ( trolley6 != trolley9 )
& ( agent6 != agent8 )
& ( trolley6 != trolley8 )
& ( agent6 != agent7 )
& ( trolley6 != trolley7 )
& ( agent5 != agent9 )
& ( trolley5 != trolley9 )
& ( agent5 != agent8 )
& ( trolley5 != trolley8 )
& ( agent5 != agent7 )
& ( trolley5 != trolley7 )
& ( agent5 != agent6 )
& ( trolley5 != trolley6 )
& ( agent4 != agent9 )
& ( trolley4 != trolley9 )
& ( agent4 != agent8 )
& ( trolley4 != trolley8 )
& ( agent4 != agent7 )
& ( trolley4 != trolley7 )
& ( agent4 != agent6 )
& ( trolley4 != trolley6 )
& ( agent4 != agent5 )
& ( trolley4 != trolley5 )
& ( agent3 != agent9 )
& ( trolley3 != trolley9 )
& ( agent3 != agent8 )
& ( trolley3 != trolley8 )
& ( agent3 != agent7 )
& ( trolley3 != trolley7 )
& ( agent3 != agent6 )
& ( trolley3 != trolley6 )
& ( agent3 != agent5 )
& ( trolley3 != trolley5 )
& ( agent3 != agent4 )
& ( trolley3 != trolley4 )
& ( agent2 != agent9 )
& ( trolley2 != trolley9 )
& ( agent2 != agent8 )
& ( trolley2 != trolley8 )
& ( agent2 != agent7 )
& ( trolley2 != trolley7 )
& ( agent2 != agent6 )
& ( trolley2 != trolley6 )
& ( agent2 != agent5 )
& ( trolley2 != trolley5 )
& ( agent2 != agent4 )
& ( trolley2 != trolley4 )
& ( agent2 != agent3 )
& ( trolley2 != trolley3 )
& ( agent1 != agent9 )
& ( trolley1 != trolley9 )
& ( agent1 != agent8 )
& ( trolley1 != trolley8 )
& ( agent1 != agent7 )
& ( trolley1 != trolley7 )
& ( agent1 != agent6 )
& ( trolley1 != trolley6 )
& ( agent1 != agent5 )
& ( trolley1 != trolley5 )
& ( agent1 != agent4 )
& ( trolley1 != trolley4 )
& ( agent1 != agent3 )
& ( trolley1 != trolley3 )
& ( agent1 != agent2 )
& ( trolley1 != trolley2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_agents_and_trolleys) ).
thf(202,plain,
( ( agent8 != agent9 )
& ( trolley8 != trolley9 )
& ( agent7 != agent9 )
& ( trolley7 != trolley9 )
& ( agent7 != agent8 )
& ( trolley7 != trolley8 )
& ( agent6 != agent9 )
& ( trolley6 != trolley9 )
& ( agent6 != agent8 )
& ( trolley6 != trolley8 )
& ( agent6 != agent7 )
& ( trolley6 != trolley7 )
& ( agent5 != agent9 )
& ( trolley5 != trolley9 )
& ( agent5 != agent8 )
& ( trolley5 != trolley8 )
& ( agent5 != agent7 )
& ( trolley5 != trolley7 )
& ( agent5 != agent6 )
& ( trolley5 != trolley6 )
& ( agent4 != agent9 )
& ( trolley4 != trolley9 )
& ( agent4 != agent8 )
& ( trolley4 != trolley8 )
& ( agent4 != agent7 )
& ( trolley4 != trolley7 )
& ( agent4 != agent6 )
& ( trolley4 != trolley6 )
& ( agent4 != agent5 )
& ( trolley4 != trolley5 )
& ( agent3 != agent9 )
& ( trolley3 != trolley9 )
& ( agent3 != agent8 )
& ( trolley3 != trolley8 )
& ( agent3 != agent7 )
& ( trolley3 != trolley7 )
& ( agent3 != agent6 )
& ( trolley3 != trolley6 )
& ( agent3 != agent5 )
& ( trolley3 != trolley5 )
& ( agent3 != agent4 )
& ( trolley3 != trolley4 )
& ( agent2 != agent9 )
& ( trolley2 != trolley9 )
& ( agent2 != agent8 )
& ( trolley2 != trolley8 )
& ( agent2 != agent7 )
& ( trolley2 != trolley7 )
& ( agent2 != agent6 )
& ( trolley2 != trolley6 )
& ( agent2 != agent5 )
& ( trolley2 != trolley5 )
& ( agent2 != agent4 )
& ( trolley2 != trolley4 )
& ( agent2 != agent3 )
& ( trolley2 != trolley3 )
& ( agent1 != agent9 )
& ( trolley1 != trolley9 )
& ( agent1 != agent8 )
& ( trolley1 != trolley8 )
& ( agent1 != agent7 )
& ( trolley1 != trolley7 )
& ( agent1 != agent6 )
& ( trolley1 != trolley6 )
& ( agent1 != agent5 )
& ( trolley1 != trolley5 )
& ( agent1 != agent4 )
& ( trolley1 != trolley4 )
& ( agent1 != agent3 )
& ( trolley1 != trolley3 )
& ( agent1 != agent2 )
& ( trolley1 != trolley2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ initiates ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) )
& ~ ( B @ ( A @ holdsAt ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( A @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).
thf(348,plain,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ initiates ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) )
& ~ ( B @ ( A @ holdsAt ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( A @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ happens ) )
<=> ( ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ pull ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
thf(480,plain,
! [A: $i,B: $i] :
( ( ( ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ pull ) ) ) ) )
=> ( B @ ( A @ happens ) ) )
& ( ( B @ ( A @ happens ) )
=> ( ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley9 @ ( agent9 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley8 @ ( agent8 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley7 @ ( agent7 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley6 @ ( agent6 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley5 @ ( agent5 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley4 @ ( agent4 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley3 @ ( agent3 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley2 @ ( agent2 @ pull ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ push ) ) ) )
| ( ( B = n0 )
& ( A
= ( trolley1 @ ( agent1 @ pull ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(23,axiom,
( ( n3 @ ( n2 @ plus ) )
= n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_3) ).
thf(147,plain,
( ( n3 @ ( n2 @ plus ) )
= n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
<=> ( ( B != A )
& ~ ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( ( ( B != A )
& ~ ( A @ ( B @ less ) ) )
=> ( B @ ( A @ less ) ) )
& ( ( B @ ( A @ less ) )
=> ( ( B != A )
& ~ ( A @ ( B @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ terminates ) ) )
& ( B @ ( A @ happens ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
thf(411,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ terminates ) ) )
& ( B @ ( A @ happens ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C != D )
& ( A != B ) )
=> ( ( C @ ( A @ pull ) )
!= ( D @ ( B @ pull ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pull_unique) ).
thf(74,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C != D )
& ( A != B ) )
=> ( ( C @ ( A @ pull ) )
!= ( D @ ( B @ pull ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( D @ ( B @ plus ) @ ( C @ ( B @ startedIn ) ) )
& ( D @ ( E @ ( B @ ( C @ antitrajectory ) ) ) )
& ( D @ ( n0 @ less ) )
& ( B @ ( C @ ( A @ terminates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( D @ ( B @ plus ) @ ( E @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antitrajectory) ).
thf(429,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( D @ ( B @ plus ) @ ( C @ ( B @ startedIn ) ) )
& ( D @ ( E @ ( B @ ( C @ antitrajectory ) ) ) )
& ( D @ ( n0 @ less ) )
& ( B @ ( C @ ( A @ terminates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( D @ ( B @ plus ) @ ( E @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,axiom,
! [A: $i] :
( ( n7 @ ( A @ less ) )
<=> ( n6 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less7) ).
thf(165,plain,
! [A: $i] :
( ( ( n6 @ ( A @ less_or_equal ) )
=> ( n7 @ ( A @ less ) ) )
& ( ( n7 @ ( A @ less ) )
=> ( n6 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(10,axiom,
( ( n0 @ ( n0 @ plus ) )
= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_0) ).
thf(92,plain,
( ( n0 @ ( n0 @ plus ) )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
~ ( C @ ( B @ ( A @ releases ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_all_defn) ).
thf(65,plain,
! [A: $i,B: $i,C: $i] :
~ ( C @ ( B @ ( A @ releases ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ spinning )
!= ( A @ backwards ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_not_backwards) ).
thf(435,plain,
! [A: $i] :
( ( A @ spinning )
!= ( A @ backwards ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(33,axiom,
! [A: $i] :
( ( n2 @ ( A @ less ) )
<=> ( n1 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
thf(403,plain,
! [A: $i] :
( ( ( n1 @ ( A @ less_or_equal ) )
=> ( n2 @ ( A @ less ) ) )
& ( ( n2 @ ( A @ less ) )
=> ( n1 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(3,axiom,
! [A: $i] :
( ( n5 @ ( A @ less ) )
<=> ( n4 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less5) ).
thf(53,plain,
! [A: $i] :
( ( ( n4 @ ( A @ less_or_equal ) )
=> ( n5 @ ( A @ less ) ) )
& ( ( n5 @ ( A @ less ) )
=> ( n4 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(50,axiom,
( ( n2 @ ( n1 @ plus ) )
= n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
thf(610,plain,
( ( n2 @ ( n1 @ plus ) )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(18,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ releasedAt ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_releasedAt) ).
thf(124,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ releasedAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ stoppedIn ) ) )
<=> ? [D: $i,E: $i] :
( ( E @ ( B @ ( D @ terminates ) ) )
& ( C @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stoppedin_defn) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ? [D: $i,E: $i] :
( ( E @ ( B @ ( D @ terminates ) ) )
& ( C @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) )
=> ( C @ ( B @ ( A @ stoppedIn ) ) ) )
& ( ( C @ ( B @ ( A @ stoppedIn ) ) )
=> ? [D: $i,E: $i] :
( ( E @ ( B @ ( D @ terminates ) ) )
& ( C @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ startedIn ) ) )
<=> ? [D: $i,E: $i] :
( ( E @ ( C @ ( D @ initiates ) ) )
& ( B @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',startedin_defn) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ? [D: $i,E: $i] :
( ( E @ ( C @ ( D @ initiates ) ) )
& ( B @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) )
=> ( B @ ( C @ ( A @ startedIn ) ) ) )
& ( ( B @ ( C @ ( A @ startedIn ) ) )
=> ? [D: $i,E: $i] :
( ( E @ ( C @ ( D @ initiates ) ) )
& ( B @ ( E @ less ) )
& ( E @ ( A @ less ) )
& ( E @ ( D @ happens ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ releases ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( B @ ( A @ releasedAt ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_released) ).
thf(425,plain,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( B @ ( A @ ( C @ releases ) ) )
& ( B @ ( C @ happens ) ) )
& ~ ( B @ ( A @ releasedAt ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ forwards )
!= ( A @ backwards ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forwards_not_backwards) ).
thf(149,plain,
! [A: $i] :
( ( A @ forwards )
!= ( A @ backwards ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( E @ ( B @ plus ) @ ( C @ ( B @ stoppedIn ) ) )
& ( E @ ( D @ ( B @ ( C @ trajectory ) ) ) )
& ( E @ ( n0 @ less ) )
& ( B @ ( C @ ( A @ initiates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( E @ ( B @ plus ) @ ( D @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).
thf(423,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( E @ ( B @ plus ) @ ( C @ ( B @ stoppedIn ) ) )
& ( E @ ( D @ ( B @ ( C @ trajectory ) ) ) )
& ( E @ ( n0 @ less ) )
& ( B @ ( C @ ( A @ initiates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( E @ ( B @ plus ) @ ( D @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(36,axiom,
( ( n3 @ ( n1 @ plus ) )
= n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
thf(413,plain,
( ( n3 @ ( n1 @ plus ) )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(4,axiom,
! [A: $i] :
( ( n8 @ ( A @ less ) )
<=> ( n7 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less8) ).
thf(59,plain,
! [A: $i] :
( ( ( n7 @ ( A @ less_or_equal ) )
=> ( n8 @ ( A @ less ) ) )
& ( ( n8 @ ( A @ less ) )
=> ( n7 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,axiom,
! [A: $i] :
( ( n9 @ ( A @ less ) )
<=> ( n8 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less9) ).
thf(118,plain,
! [A: $i] :
( ( ( n8 @ ( A @ less_or_equal ) )
=> ( n9 @ ( A @ less ) ) )
& ( ( n9 @ ( A @ less ) )
=> ( n8 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ forwards )
!= ( A @ spinning ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forwards_not_spinning) ).
thf(445,plain,
! [A: $i] :
( ( A @ forwards )
!= ( A @ spinning ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(9,axiom,
! [A: $i] :
( ( n4 @ ( A @ less ) )
<=> ( n3 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
thf(86,plain,
! [A: $i] :
( ( ( n3 @ ( A @ less_or_equal ) )
=> ( n4 @ ( A @ less ) ) )
& ( ( n4 @ ( A @ less ) )
=> ( n3 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
thf(155,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ less ) ) )
=> ( B @ ( A @ less_or_equal ) ) )
& ( ( B @ ( A @ less_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14,axiom,
~ ? [A: $i] : ( n0 @ ( A @ less ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
thf(108,plain,
~ ? [A: $i] : ( n0 @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( C @ ( A @ terminates ) ) )
| ( B @ ( C @ ( A @ initiates ) ) ) )
& ( B @ ( A @ happens ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( C @ releasedAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).
thf(441,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( C @ ( A @ terminates ) ) )
| ( B @ ( C @ ( A @ initiates ) ) ) )
& ( B @ ( A @ happens ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( C @ releasedAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(19,axiom,
! [A: $i] :
( ( n6 @ ( A @ less ) )
<=> ( n5 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less6) ).
thf(127,plain,
! [A: $i] :
( ( ( n5 @ ( A @ less_or_equal ) )
=> ( n6 @ ( A @ less ) ) )
& ( ( n6 @ ( A @ less ) )
=> ( n5 @ ( A @ less_or_equal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ initiates ) ) )
<=> ? [D: $i,E: $i] :
( ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
thf(175,plain,
! [A: $i,B: $i,C: $i] :
( ( ? [D: $i,E: $i] :
( ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) )
=> ( C @ ( B @ ( A @ initiates ) ) ) )
& ( ( C @ ( B @ ( A @ initiates ) ) )
=> ? [D: $i,E: $i] :
( ( ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ spinning ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ push ) @ happens ) )
& ( B
= ( E @ backwards ) )
& ( A
= ( E @ ( D @ pull ) ) ) )
| ( ~ ( C @ ( E @ ( D @ pull ) @ happens ) )
& ( B
= ( E @ forwards ) )
& ( A
= ( E @ ( D @ push ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(21,axiom,
( ( n3 @ ( n0 @ plus ) )
= n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
thf(143,plain,
( ( n3 @ ( n0 @ plus ) )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ push ) )
!= ( B @ ( A @ pull ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',push_not_pull) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ push ) )
!= ( B @ ( A @ pull ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( ( B @ ( A @ ( C @ terminates ) ) )
| ( B @ ( A @ ( C @ initiates ) ) ) )
& ( B @ ( C @ happens ) ) )
& ( B @ ( A @ releasedAt ) ) )
=> ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_released) ).
thf(171,plain,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] :
( ( ( B @ ( A @ ( C @ terminates ) ) )
| ( B @ ( A @ ( C @ initiates ) ) ) )
& ( B @ ( C @ happens ) ) )
& ( B @ ( A @ releasedAt ) ) )
=> ( n1 @ ( B @ plus ) @ ( A @ releasedAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,axiom,
( ( n2 @ ( n2 @ plus ) )
= n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_2) ).
thf(94,plain,
( ( n2 @ ( n2 @ plus ) )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ initiates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
thf(415,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ initiates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(694,plain,
$false,
inference(e,[status(thm)],[352,153,417,439,105,451,431,145,409,51,68,111,449,202,348,480,147,133,411,74,429,165,92,65,435,403,53,610,124,77,96,425,149,423,413,59,118,445,86,155,108,441,127,175,143,114,171,94,415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR024+1.009 : TPTP v9.3.1. Bugfixed v3.1.0.
% 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
% 0.14/5.43 % Computer : n015.cluster.edu
% 0.14/5.43 % Model : x86_64 x86_64
% 0.14/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.43 % Memory : 8046.5625MB
% 0.14/5.43 % OS : Linux 6.8.0-71-generic
% 0.14/5.43 % CPULimit : 300
% 0.14/5.43 % WCLimit : 300
% 0.14/5.43 % DateTime : Sun Sep 27 00:00:04 UTC 2026
% 0.14/5.44 % CPUTime :
% 0.14/5.44 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
% 0.19/5.73 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/5.88 % [INFO] Parsing done (149ms).
% 0.19/5.89 % [INFO] Running in sequential loop mode.
% 1.78/6.09 % [INFO] eprover registered as external prover.
% 1.78/6.09 % [INFO] Scanning for conjecture ...
% 2.11/6.16 % [INFO] Found a conjecture (or negated_conjecture) and 57 axioms. Running axiom selection ...
% 2.31/6.22 % [INFO] Axiom selection finished. Selected 48 axioms (removed 9 axioms).
% 2.69/6.31 % [INFO] Problem is first-order (TPTP FOF).
% 2.69/6.32 % [INFO] Type checking passed.
% 2.69/6.32 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.50/7.42 % External prover 'e' found a proof!
% 7.50/7.42 % [INFO] Killing All external provers ...
% 7.50/7.42 % Time passed: 1887ms (effective reasoning time: 1527ms)
% 7.50/7.42 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.50/7.42 % 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
% 7.50/7.42 % No. of inferences in proof: 100
% 7.50/7.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1887 ms resp. 1527 ms w/o parsing
% 7.89/7.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.89/7.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------