TSTP Solution File: CSR022+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 10:28:26 EDT 2024
% Result : Theorem 139.06s 21.12s
% Output : Refutation 139.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 55 ( 18 unt; 13 typ; 0 def)
% Number of atoms : 216 ( 131 equ; 0 cnn)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 468 ( 68 ~; 70 |; 86 &; 232 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 65 ( 0 ^ 65 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(holdsAt_type,type,
holdsAt: $i > $i > $o ).
thf(forwards_type,type,
forwards: $i ).
thf(n3_type,type,
n3: $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(n0_type,type,
n0: $i ).
thf(happens_type,type,
happens: $i > $i > $o ).
thf(push_type,type,
push: $i ).
thf(pull_type,type,
pull: $i ).
thf(n2_type,type,
n2: $i ).
thf(terminates_type,type,
terminates: $i > $i > $i > $o ).
thf(spinning_type,type,
spinning: $i ).
thf(backwards_type,type,
backwards: $i ).
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(260,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: $i,B: $i,C: $i] :
( ( ( ( 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(miniscope,[status(thm)],[259]) ).
thf(273,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ~ ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(cnf,[status(esa)],[260]) ).
thf(307,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ~ ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[273]) ).
thf(308,plain,
! [A: $i] :
( ~ ( happens @ push @ A )
| ( terminates @ pull @ forwards @ A ) ),
inference(simp,[status(thm)],[307]) ).
thf(9,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(78,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)],[9]) ).
thf(79,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: $i,B: $i] :
( ( ( ( A = push )
& ( B = n0 ) )
| ( ( A = pull )
& ( B = n1 ) )
| ( ( A = pull )
& ( B = n2 ) )
| ( ( A = push )
& ( B = n2 ) ) )
=> ( happens @ A @ B ) ) ),
inference(miniscope,[status(thm)],[78]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( A != pull )
| ( B != n2 )
| ( happens @ A @ B ) ),
inference(cnf,[status(esa)],[79]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( A != pull )
| ( B != n2 )
| ( happens @ A @ B ) ),
inference(lifteq,[status(thm)],[85]) ).
thf(96,plain,
happens @ pull @ n2,
inference(simp,[status(thm)],[95]) ).
thf(1,conjecture,
~ ( holdsAt @ forwards @ n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_3) ).
thf(2,negated_conjecture,
~ ~ ( holdsAt @ forwards @ n3 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ~ ( holdsAt @ forwards @ n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(51,plain,
holdsAt @ forwards @ n3,
inference(polarity_switch,[status(thm)],[50]) ).
thf(38,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(233,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)],[38]) ).
thf(234,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( happens @ A @ B )
| ~ ( terminates @ A @ C @ B )
| ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
inference(cnf,[status(esa)],[233]) ).
thf(900,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( happens @ A @ B )
| ~ ( terminates @ A @ C @ B )
| ( ( holdsAt @ forwards @ n3 )
!= ( holdsAt @ C @ ( plus @ B @ n1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[51,234]) ).
thf(910,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( happens @ A @ B )
| ~ ( terminates @ A @ C @ B )
| ( forwards != C )
| ( ( plus @ B @ n1 )
!= n3 ) ),
inference(simp,[status(thm)],[900]) ).
thf(924,plain,
! [B: $i,A: $i] :
( ~ ( happens @ A @ B )
| ~ ( terminates @ A @ forwards @ B )
| ( ( plus @ B @ n1 )
!= n3 ) ),
inference(simp,[status(thm)],[910]) ).
thf(1006,plain,
! [B: $i,A: $i] :
( ~ ( terminates @ A @ forwards @ B )
| ( ( plus @ B @ n1 )
!= n3 )
| ( ( happens @ pull @ n2 )
!= ( happens @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[96,924]) ).
thf(1007,plain,
( ~ ( terminates @ pull @ forwards @ n2 )
| ( ( plus @ n2 @ n1 )
!= n3 ) ),
inference(pattern_uni,[status(thm)],[1006:[bind(A,$thf( pull )),bind(B,$thf( n2 ))]]) ).
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(312,plain,
( ( plus @ n1 @ n2 )
= n3 ),
inference(lifteq,[status(thm)],[311]) ).
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(66,plain,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(cnf,[status(esa)],[65]) ).
thf(67,plain,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(lifteq,[status(thm)],[66]) ).
thf(584,plain,
! [B: $i,A: $i] :
( ( ( plus @ B @ A )
= n3 )
| ( ( plus @ n1 @ n2 )
!= ( plus @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[312,67]) ).
thf(585,plain,
( ( plus @ n2 @ n1 )
= n3 ),
inference(pattern_uni,[status(thm)],[584:[bind(A,$thf( n1 )),bind(B,$thf( n2 ))]]) ).
thf(1057,plain,
( ~ ( terminates @ pull @ forwards @ n2 )
| ( n3 != n3 ) ),
inference(rewrite,[status(thm)],[1007,585]) ).
thf(1058,plain,
~ ( terminates @ pull @ forwards @ n2 ),
inference(simp,[status(thm)],[1057]) ).
thf(46365,plain,
! [A: $i] :
( ~ ( happens @ push @ A )
| ( ( terminates @ pull @ forwards @ A )
!= ( terminates @ pull @ forwards @ n2 ) ) ),
inference(paramod_ordered,[status(thm)],[308,1058]) ).
thf(46366,plain,
~ ( happens @ push @ n2 ),
inference(pattern_uni,[status(thm)],[46365:[bind(A,$thf( n2 ))]]) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( A != push )
| ( B != n2 )
| ( happens @ A @ B ) ),
inference(cnf,[status(esa)],[79]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ( A != push )
| ( B != n2 )
| ( happens @ A @ B ) ),
inference(lifteq,[status(thm)],[86]) ).
thf(98,plain,
happens @ push @ n2,
inference(simp,[status(thm)],[97]) ).
thf(46501,plain,
~ $true,
inference(rewrite,[status(thm)],[46366,98]) ).
thf(46502,plain,
$false,
inference(simp,[status(thm)],[46501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.16/0.17 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n006.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 23:23:39 EDT 2024
% 0.17/0.38 % CPUTime :
% 1.03/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.12 % [INFO] Parsing done (156ms).
% 1.37/1.13 % [INFO] Running in sequential loop mode.
% 1.90/1.36 % [INFO] nitpick registered as external prover.
% 1.90/1.37 % [INFO] Scanning for conjecture ...
% 2.16/1.44 % [INFO] Found a conjecture and 47 axioms. Running axiom selection ...
% 2.24/1.49 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 2.53/1.56 % [INFO] Problem is first-order (TPTP FOF).
% 2.53/1.57 % [INFO] Type checking passed.
% 2.53/1.57 % [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 ...
% 139.06/21.11 % [INFO] Killing All external provers ...
% 139.06/21.12 % Time passed: 20530ms (effective reasoning time: 19985ms)
% 139.06/21.12 % 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)>
% 139.06/21.12 % Axioms used in derivation (5): happens_terminates_not_holds, happens_all_defn, plus1_2, symmetry_of_plus, terminates_all_defn
% 139.06/21.12 % No. of inferences in proof: 42
% 139.06/21.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 20530 ms resp. 19985 ms w/o parsing
% 139.06/21.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 139.06/21.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------