%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n017.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 07:00:03 AM UTC 2026
% Result : Theorem 8.00s 3.20s
% Output : Refutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 48
% Syntax : Number of formulae : 98 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 350 ( 114 equ; 0 cnn)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 959 ( 77 ~; 37 |; 147 &; 630 @)
% ( 16 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 16 con; 0-4 aty)
% Number of variables : 150 ( 0 ^; 128 !; 22 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
thf(holdsAt_decl,type,
holdsAt: $i > $i > $o ).
thf(backwards_decl,type,
backwards: $i ).
thf(n3_decl,type,
n3: $i ).
thf(releases_decl,type,
releases: $i > $i > $i > $o ).
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(plus_decl,type,
plus: $i > $i > $i ).
thf(n1_decl,type,
n1: $i ).
thf(n0_decl,type,
n0: $i ).
thf(n6_decl,type,
n6: $i ).
thf(happens_decl,type,
happens: $i > $i > $o ).
thf(push_decl,type,
push: $i ).
thf(pull_decl,type,
pull: $i ).
thf(n2_decl,type,
n2: $i ).
thf(releasedAt_decl,type,
releasedAt: $i > $i > $o ).
thf(initiates_decl,type,
initiates: $i > $i > $i > $o ).
thf(terminates_decl,type,
terminates: $i > $i > $i > $o ).
thf(forwards_decl,type,
forwards: $i ).
thf(spinning_decl,type,
spinning: $i ).
thf(startedIn_decl,type,
startedIn: $i > $i > $i > $o ).
thf(stoppedIn_decl,type,
stoppedIn: $i > $i > $i > $o ).
thf(n9_decl,type,
n9: $i ).
thf(trajectory_decl,type,
trajectory: $i > $i > $i > $i > $o ).
thf(antitrajectory_decl,type,
antitrajectory: $i > $i > $i > $i > $o ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ initiates ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_holds) ).
thf(249,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)],[38]) ).
thf(42,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/sandbox2/benchmark/theBenchmark.p',keep_not_holding) ).
thf(261,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)],[42]) ).
thf(40,axiom,
! [A: $i] :
( ( n3 @ ( A @ less ) )
<=> ( n2 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
thf(253,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)],[40]) ).
thf(28,axiom,
push != pull,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',push_not_pull) ).
thf(197,plain,
push != pull,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(22,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/sandbox2/benchmark/theBenchmark.p',keep_not_released) ).
thf(180,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)],[22]) ).
thf(35,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/sandbox2/benchmark/theBenchmark.p',keep_holding) ).
thf(241,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)],[35]) ).
thf(19,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/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
thf(162,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)],[19]) ).
thf(45,axiom,
forwards != backwards,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_backwards) ).
thf(273,plain,
forwards != backwards,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ terminates ) ) )
<=> ( ( ~ ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = spinning )
& ( A = push ) )
| ( ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = backwards )
& ( A = push ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
thf(276,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( ~ ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = spinning )
& ( A = push ) )
| ( ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = backwards )
& ( A = push ) ) )
=> ( C @ ( B @ ( A @ terminates ) ) ) )
& ( ( C @ ( B @ ( A @ terminates ) ) )
=> ( ( ~ ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = spinning )
& ( A = push ) )
| ( ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = forwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = backwards )
& ( A = push ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(37,axiom,
( ( n3 @ ( n1 @ plus ) )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
thf(247,plain,
( ( n3 @ ( n1 @ plus ) )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
~ ( C @ ( B @ ( A @ releases ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',releases_all_defn) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
~ ( C @ ( B @ ( A @ releases ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,axiom,
( ( n0 @ ( n0 @ plus ) )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_0) ).
thf(184,plain,
( ( n0 @ ( n0 @ plus ) )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,axiom,
! [A: $i] :
( ( n8 @ ( A @ less ) )
<=> ( n7 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less8) ).
thf(61,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)],[5]) ).
thf(43,axiom,
! [A: $i] :
( ( n4 @ ( A @ less ) )
<=> ( n3 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less4) ).
thf(265,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)],[43]) ).
thf(30,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/sandbox2/benchmark/theBenchmark.p',change_holding) ).
thf(206,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)],[30]) ).
thf(18,axiom,
( ( n1 @ ( n0 @ plus ) )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
thf(160,plain,
( ( n1 @ ( n0 @ plus ) )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(7,axiom,
! [A: $i] :
( ( n1 @ ( A @ less ) )
<=> ( n0 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
thf(70,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)],[7]) ).
thf(26,axiom,
~ ? [A: $i] : ( n0 @ ( A @ less ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
thf(192,plain,
~ ? [A: $i] : ( n0 @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ releases ) ) )
& ( B @ ( A @ happens ) ) )
=> ( n1 @ ( B @ plus ) @ ( C @ releasedAt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_releases) ).
thf(137,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)],[14]) ).
thf(25,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/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
thf(188,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)],[25]) ).
thf(16,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/sandbox2/benchmark/theBenchmark.p',startedin_defn) ).
thf(141,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)],[16]) ).
thf(12,axiom,
forwards != spinning,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_spinning) ).
thf(128,plain,
forwards != spinning,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(33,axiom,
( ( n3 @ ( n3 @ plus ) )
= n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus3_3) ).
thf(237,plain,
( ( n3 @ ( n3 @ plus ) )
= n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
<=> ( ( B != A )
& ~ ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
thf(118,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)],[11]) ).
thf(41,axiom,
( ( n3 @ ( n0 @ plus ) )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).
thf(259,plain,
( ( n3 @ ( n0 @ plus ) )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,axiom,
! [A: $i] :
( ( n6 @ ( A @ less ) )
<=> ( n5 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less6) ).
thf(76,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)],[8]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ terminates ) ) )
& ( B @ ( A @ happens ) ) )
=> ~ ( n1 @ ( B @ plus ) @ ( C @ holdsAt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
thf(245,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)],[36]) ).
thf(44,axiom,
~ ( n0 @ ( spinning @ holdsAt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_splinning_0) ).
thf(271,plain,
~ ( n0 @ ( spinning @ holdsAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ initiates ) ) )
<=> ( ( ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = forwards )
& ( A = push ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
thf(208,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = forwards )
& ( A = push ) ) )
=> ( C @ ( B @ ( A @ initiates ) ) ) )
& ( ( C @ ( B @ ( A @ initiates ) ) )
=> ( ( ( C @ ( push @ happens ) )
& ( B = spinning )
& ( A = pull ) )
| ( ~ ( C @ ( push @ happens ) )
& ( B = backwards )
& ( A = pull ) )
| ( ~ ( C @ ( pull @ happens ) )
& ( B = forwards )
& ( A = push ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(39,axiom,
~ ( n0 @ ( forwards @ holdsAt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_0) ).
thf(251,plain,
~ ( n0 @ ( forwards @ holdsAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(48,axiom,
~ ( n0 @ ( backwards @ holdsAt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_0) ).
thf(330,plain,
~ ( n0 @ ( backwards @ holdsAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
thf(150,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)],[17]) ).
thf(47,axiom,
spinning != backwards,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_not_backwards) ).
thf(327,plain,
spinning != backwards,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(1,conjecture,
~ ( n3 @ ( backwards @ holdsAt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_3) ).
thf(2,negated_conjecture,
~ ~ ( n3 @ ( backwards @ holdsAt ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ~ ( n3 @ ( backwards @ holdsAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ plus ) )
= ( A @ ( B @ plus ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ plus ) )
= ( A @ ( B @ plus ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(21,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ releasedAt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_releasedAt) ).
thf(177,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ releasedAt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,axiom,
( ( n2 @ ( n0 @ plus ) )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
thf(186,plain,
( ( n2 @ ( n0 @ plus ) )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [A: $i] :
( ( n9 @ ( A @ less ) )
<=> ( n8 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less9) ).
thf(171,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)],[20]) ).
thf(15,axiom,
( ( n2 @ ( n2 @ plus ) )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_2) ).
thf(139,plain,
( ( n2 @ ( n2 @ plus ) )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,axiom,
! [A: $i] :
( ( n5 @ ( A @ less ) )
<=> ( n4 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less5) ).
thf(55,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)],[4]) ).
thf(10,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/sandbox2/benchmark/theBenchmark.p',keep_released) ).
thf(114,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)],[10]) ).
thf(32,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/sandbox2/benchmark/theBenchmark.p',antitrajectory) ).
thf(235,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)],[32]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ happens ) )
<=> ( ( ( B = n2 )
& ( A = push ) )
| ( ( B = n2 )
& ( A = pull ) )
| ( ( B = n1 )
& ( A = pull ) )
| ( ( B = n0 )
& ( A = push ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( ( ( ( B = n2 )
& ( A = push ) )
| ( ( B = n2 )
& ( A = pull ) )
| ( ( B = n1 )
& ( A = pull ) )
| ( ( B = n0 )
& ( A = push ) ) )
=> ( B @ ( A @ happens ) ) )
& ( ( B @ ( A @ happens ) )
=> ( ( ( B = n2 )
& ( A = push ) )
| ( ( B = n2 )
& ( A = pull ) )
| ( ( B = n1 )
& ( A = pull ) )
| ( ( B = n0 )
& ( A = push ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,axiom,
( ( n3 @ ( n2 @ plus ) )
= n5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_3) ).
thf(239,plain,
( ( n3 @ ( n2 @ plus ) )
= n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(27,axiom,
( ( n1 @ ( n1 @ plus ) )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
thf(195,plain,
( ( n1 @ ( n1 @ plus ) )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(49,axiom,
( ( n2 @ ( n1 @ plus ) )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
thf(332,plain,
( ( n2 @ ( n1 @ plus ) )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(13,axiom,
! [A: $i] :
( ( n2 @ ( A @ less ) )
<=> ( n1 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
thf(131,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)],[13]) ).
thf(29,axiom,
! [A: $i] :
( ( n7 @ ( A @ less ) )
<=> ( n6 @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less7) ).
thf(200,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)],[29]) ).
thf(340,plain,
$false,
inference(e,[status(thm)],[249,261,253,197,180,241,162,273,276,247,52,184,61,265,206,160,70,192,137,188,141,128,237,118,259,76,245,271,208,251,330,150,327,50,67,177,186,171,139,55,114,235,82,239,195,332,131,200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.25/0.49 % Computer : n017.cluster.edu
% 0.25/0.49 % Model : x86_64 x86_64
% 0.25/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.49 % Memory : 8046.5625MB
% 0.25/0.49 % OS : Linux 6.8.0-71-generic
% 0.25/0.49 % CPULimit : 300
% 0.25/0.49 % WCLimit : 300
% 0.25/0.49 % DateTime : Sat Sep 26 23:51:35 UTC 2026
% 0.25/0.50 % CPUTime :
% 0.25/0.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.97/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.74/1.20 % [INFO] Parsing done (204ms).
% 1.74/1.21 % [INFO] Running in sequential loop mode.
% 2.58/1.55 % [INFO] eprover registered as external prover.
% 2.58/1.55 % [INFO] Scanning for conjecture ...
% 2.86/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 47 axioms. Running axiom selection ...
% 3.09/1.72 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 3.40/1.81 % [INFO] Problem is first-order (TPTP FOF).
% 3.40/1.82 % [INFO] Type checking passed.
% 3.40/1.82 % [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 ...
% 7.84/3.19 % External prover 'e' found a proof!
% 7.84/3.19 % [INFO] Killing All external provers ...
% 7.84/3.19 % Time passed: 2559ms (effective reasoning time: 1978ms)
% 7.84/3.19 % 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)>
% 7.84/3.20 % Axioms used in derivation (47): less0, less4, plus1_1, happens_all_defn, plus3_3, plus0_3, plus1_2, happens_holds, keep_holding, not_forwards_0, releases_all_defn, less8, less_property, antitrajectory, not_splinning_0, not_backwards_0, spinning_not_backwards, keep_not_holding, plus0_0, happens_terminates_not_holds, not_releasedAt, stoppedin_defn, less1, keep_released, plus2_3, less3, plus0_1, symmetry_of_plus, less7, initiates_all_defn, keep_not_released, terminates_all_defn, 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
% 8.00/3.20 % No. of inferences in proof: 98
% 8.00/3.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2559 ms resp. 1978 ms w/o parsing
% 8.29/3.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.29/3.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------