TSTP Solution File: CSR019+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 07:30:25 EDT 2024
% Result : Theorem 4.75s 2.20s
% Output : Refutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 76
% Syntax : Number of formulae : 126 ( 46 unt; 28 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 : 35 ( 35 >; 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_type,type,
holdsAt: $i > $i > $o ).
thf(forwards_type,type,
forwards: $i ).
thf(n2_type,type,
n2: $i ).
thf(releases_type,type,
releases: $i > $i > $i > $o ).
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(plus_type,type,
plus: $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(n0_type,type,
n0: $i ).
thf(releasedAt_type,type,
releasedAt: $i > $i > $o ).
thf(happens_type,type,
happens: $i > $i > $o ).
thf(initiates_type,type,
initiates: $i > $i > $i > $o ).
thf(terminates_type,type,
terminates: $i > $i > $i > $o ).
thf(n3_type,type,
n3: $i ).
thf(n6_type,type,
n6: $i ).
thf(spinning_type,type,
spinning: $i ).
thf(backwards_type,type,
backwards: $i ).
thf(stoppedIn_type,type,
stoppedIn: $i > $i > $i > $o ).
thf(n9_type,type,
n9: $i ).
thf(startedIn_type,type,
startedIn: $i > $i > $i > $o ).
thf(push_type,type,
push: $i ).
thf(pull_type,type,
pull: $i ).
thf(trajectory_type,type,
trajectory: $i > $i > $i > $i > $o ).
thf(antitrajectory_type,type,
antitrajectory: $i > $i > $i > $i > $o ).
thf(13,axiom,
( ( plus @ n0 @ n1 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
thf(101,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(46,axiom,
( ( plus @ n2 @ n2 )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_2) ).
thf(257,plain,
( ( plus @ n2 @ n2 )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(42,axiom,
! [A: $i] :
( ( less @ A @ n3 )
<=> ( less_or_equal @ A @ n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
thf(216,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)],[42]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( terminates @ A @ B @ C )
<=> ( ( ( A = push )
& ( B = backwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ( happens @ push @ C ) )
| ( ( A = push )
& ( B = spinning )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ~ ( happens @ push @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
thf(259,plain,
! [A: $i,B: $i,C: $i] :
( ( ( terminates @ A @ B @ C )
=> ( ( ( A = push )
& ( B = backwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ( happens @ push @ C ) )
| ( ( A = push )
& ( B = spinning )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ~ ( happens @ push @ C ) ) ) )
& ( ( ( ( A = push )
& ( B = backwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = forwards )
& ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ( happens @ push @ C ) )
| ( ( A = push )
& ( B = spinning )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ~ ( happens @ push @ C ) ) )
=> ( terminates @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( less @ A @ B )
<=> ( ~ ( less @ B @ A )
& ( B != A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
thf(76,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)],[9]) ).
thf(21,axiom,
( ( plus @ n0 @ n3 )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).
thf(135,plain,
( ( plus @ n0 @ n3 )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(36,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(203,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)],[36]) ).
thf(39,axiom,
( ( plus @ n1 @ n1 )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
thf(210,plain,
( ( plus @ n1 @ n1 )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(7,axiom,
! [A: $i] :
( ( less @ A @ n1 )
<=> ( less_or_equal @ A @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
thf(68,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)],[7]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
~ ( releases @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',releases_all_defn) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
~ ( releases @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,axiom,
! [A: $i] :
( ( less @ A @ n2 )
<=> ( less_or_equal @ A @ n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
thf(196,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)],[34]) ).
thf(28,axiom,
push != pull,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',push_not_pull) ).
thf(157,plain,
push != pull,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( happens @ A @ B )
<=> ( ( ( A = push )
& ( B = n0 ) )
| ( ( A = pull )
& ( B = n1 ) )
| ( ( A = pull )
& ( B = n2 ) )
| ( ( A = push )
& ( B = n2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
thf(221,plain,
! [A: $i,B: $i] :
( ( ( happens @ A @ B )
=> ( ( ( A = push )
& ( B = n0 ) )
| ( ( A = pull )
& ( B = n1 ) )
| ( ( A = pull )
& ( B = n2 ) )
| ( ( A = push )
& ( B = n2 ) ) ) )
& ( ( ( ( A = push )
& ( B = n0 ) )
| ( ( A = pull )
& ( B = n1 ) )
| ( ( A = pull )
& ( B = n2 ) )
| ( ( A = push )
& ( B = n2 ) ) )
=> ( happens @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(20,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(132,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)],[20]) ).
thf(5,axiom,
! [A: $i] :
( ( less @ A @ n8 )
<=> ( less_or_equal @ A @ n7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less8) ).
thf(60,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)],[5]) ).
thf(10,axiom,
! [A: $i] :
( ( less @ A @ n4 )
<=> ( less_or_equal @ A @ n3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less4) ).
thf(85,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)],[10]) ).
thf(35,axiom,
~ ( holdsAt @ spinning @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_splinning_0) ).
thf(201,plain,
~ ( holdsAt @ spinning @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(29,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(160,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)],[29]) ).
thf(22,axiom,
( ( plus @ n3 @ n3 )
= n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus3_3) ).
thf(137,plain,
( ( plus @ n3 @ n3 )
= n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(12,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(92,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)],[12]) ).
thf(44,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(252,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)],[44]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(31,axiom,
( ( plus @ n2 @ n3 )
= n5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus2_3) ).
thf(188,plain,
( ( plus @ n2 @ n3 )
= n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(24,axiom,
( ( plus @ n1 @ n3 )
= n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
thf(141,plain,
( ( plus @ n1 @ n3 )
= n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(18,axiom,
! [A: $i,B: $i] :
~ ( releasedAt @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_releasedAt) ).
thf(124,plain,
! [A: $i,B: $i] :
~ ( releasedAt @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(33,axiom,
forwards != spinning,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_spinning) ).
thf(193,plain,
forwards != spinning,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(40,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(212,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)],[40]) ).
thf(8,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(73,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)],[8]) ).
thf(37,axiom,
( ( plus @ n0 @ n2 )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
thf(205,plain,
( ( plus @ n0 @ n2 )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(49,axiom,
( ( plus @ n1 @ n2 )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
thf(311,plain,
( ( plus @ n1 @ n2 )
= n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(14,axiom,
! [A: $i] :
( ( less @ A @ n7 )
<=> ( less_or_equal @ A @ n6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less7) ).
thf(103,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)],[14]) ).
thf(15,axiom,
spinning != backwards,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_not_backwards) ).
thf(108,plain,
spinning != backwards,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( initiates @ A @ B @ C )
<=> ( ( ( A = push )
& ( B = forwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ( happens @ push @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
thf(162,plain,
! [A: $i,B: $i,C: $i] :
( ( ( initiates @ A @ B @ C )
=> ( ( ( A = push )
& ( B = forwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ( happens @ push @ C ) ) ) )
& ( ( ( ( A = push )
& ( B = forwards )
& ~ ( happens @ pull @ C ) )
| ( ( A = pull )
& ( B = backwards )
& ~ ( happens @ push @ C ) )
| ( ( A = pull )
& ( B = spinning )
& ( happens @ push @ C ) ) )
=> ( initiates @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(45,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(255,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)],[45]) ).
thf(1,conjecture,
~ ( holdsAt @ forwards @ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_2) ).
thf(2,negated_conjecture,
~ ~ ( holdsAt @ forwards @ n2 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ~ ( holdsAt @ forwards @ n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,axiom,
! [A: $i] :
( ( less @ A @ n6 )
<=> ( less_or_equal @ A @ n5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less6) ).
thf(127,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(27,axiom,
~ ? [A: $i] : ( less @ A @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
thf(154,plain,
~ ? [A: $i] : ( less @ A @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(25,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(143,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)],[25]) ).
thf(4,axiom,
! [A: $i] :
( ( less @ A @ n5 )
<=> ( less_or_equal @ A @ n4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less5) ).
thf(55,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)],[4]) ).
thf(23,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(139,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)],[23]) ).
thf(17,axiom,
! [A: $i] :
( ( less @ A @ n9 )
<=> ( less_or_equal @ A @ n8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less9) ).
thf(119,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(38,axiom,
forwards != backwards,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_not_backwards) ).
thf(207,plain,
forwards != backwards,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(41,axiom,
~ ( holdsAt @ forwards @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_0) ).
thf(214,plain,
~ ( holdsAt @ forwards @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(26,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(151,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)],[26]) ).
thf(32,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(190,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)],[32]) ).
thf(48,axiom,
~ ( holdsAt @ backwards @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_0) ).
thf(309,plain,
~ ( holdsAt @ backwards @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(11,axiom,
( ( plus @ n0 @ n0 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_0) ).
thf(90,plain,
( ( plus @ n0 @ n0 )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,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(111,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)],[16]) ).
thf(313,plain,
$false,
inference(e,[status(thm)],[101,257,216,259,76,135,203,210,68,52,196,157,221,132,60,85,201,160,137,92,252,65,188,141,124,193,212,73,205,311,103,108,162,255,50,127,154,143,55,139,119,207,214,151,190,309,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n004.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 15:40:39 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.42/1.01 % [INFO] Parsing done (148ms).
% 1.42/1.02 % [INFO] Running in sequential loop mode.
% 1.90/1.25 % [INFO] eprover registered as external prover.
% 1.90/1.25 % [INFO] cvc4 registered as external prover.
% 1.90/1.26 % [INFO] Scanning for conjecture ...
% 2.02/1.32 % [INFO] Found a conjecture and 47 axioms. Running axiom selection ...
% 2.22/1.38 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 2.58/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.58/1.45 % [INFO] Type checking passed.
% 2.63/1.45 % [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 ...
% 4.75/2.20 % External prover 'e' found a proof!
% 4.75/2.20 % [INFO] Killing All external provers ...
% 4.75/2.20 % Time passed: 1665ms (effective reasoning time: 1173ms)
% 4.75/2.20 % 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)>
% 4.75/2.20 % 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
% 4.75/2.20 % No. of inferences in proof: 98
% 4.75/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1665 ms resp. 1173 ms w/o parsing
% 5.05/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.05/2.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------