TSTP Solution File: CSR019+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---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 : n011.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 130.09s 19.96s
% Output : Refutation 130.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 13 unt; 12 typ; 0 def)
% Number of atoms : 211 ( 119 equ; 0 cnn)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 450 ( 62 ~; 68 |; 86 &; 222 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 56 ( 0 ^ 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(holdsAt_type,type,
holdsAt: $i > $i > $o ).
thf(forwards_type,type,
forwards: $i ).
thf(n2_type,type,
n2: $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(terminates_type,type,
terminates: $i > $i > $i > $o ).
thf(spinning_type,type,
spinning: $i ).
thf(backwards_type,type,
backwards: $i ).
thf(push_type,type,
push: $i ).
thf(pull_type,type,
pull: $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/sandbox/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(267,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ~ ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(cnf,[status(esa)],[260]) ).
thf(301,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ~ ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[267]) ).
thf(302,plain,
! [A: $i] :
( ~ ( happens @ push @ A )
| ( terminates @ pull @ forwards @ A ) ),
inference(simp,[status(thm)],[301]) ).
thf(1,conjecture,
~ ( holdsAt @ forwards @ n2 ),
file('/export/starexec/sandbox/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(51,plain,
holdsAt @ forwards @ n2,
inference(polarity_switch,[status(thm)],[50]) ).
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/sandbox/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(222,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)],[221]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( A != pull )
| ( B != n1 )
| ( happens @ A @ B ) ),
inference(cnf,[status(esa)],[222]) ).
thf(250,plain,
! [B: $i,A: $i] :
( ( A != pull )
| ( B != n1 )
| ( happens @ A @ B ) ),
inference(lifteq,[status(thm)],[232]) ).
thf(251,plain,
happens @ pull @ n1,
inference(simp,[status(thm)],[250]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( happens @ A @ B )
& ( terminates @ A @ C @ B ) )
=> ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox/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(204,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( happens @ A @ B )
| ~ ( terminates @ A @ C @ B )
| ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
inference(cnf,[status(esa)],[203]) ).
thf(1200,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( terminates @ A @ C @ B )
| ~ ( holdsAt @ C @ ( plus @ B @ n1 ) )
| ( ( happens @ pull @ n1 )
!= ( happens @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[251,204]) ).
thf(1201,plain,
! [A: $i] :
( ~ ( terminates @ pull @ A @ n1 )
| ~ ( holdsAt @ A @ ( plus @ n1 @ n1 ) ) ),
inference(pattern_uni,[status(thm)],[1200:[bind(A,$thf( pull )),bind(B,$thf( n1 ))]]) ).
thf(1240,plain,
! [A: $i] :
( ~ ( terminates @ pull @ A @ n1 )
| ~ ( holdsAt @ A @ ( plus @ n1 @ n1 ) ) ),
inference(simp,[status(thm)],[1201]) ).
thf(39,axiom,
( ( plus @ n1 @ n1 )
= n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
thf(210,plain,
( ( plus @ n1 @ n1 )
= n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(211,plain,
( ( plus @ n1 @ n1 )
= n2 ),
inference(lifteq,[status(thm)],[210]) ).
thf(44542,plain,
! [A: $i] :
( ~ ( terminates @ pull @ A @ n1 )
| ~ ( holdsAt @ A @ n2 ) ),
inference(rewrite,[status(thm)],[1240,211]) ).
thf(44672,plain,
! [A: $i] :
( ~ ( terminates @ pull @ A @ n1 )
| ( ( holdsAt @ forwards @ n2 )
!= ( holdsAt @ A @ n2 ) ) ),
inference(paramod_ordered,[status(thm)],[51,44542]) ).
thf(44673,plain,
~ ( terminates @ pull @ forwards @ n1 ),
inference(pattern_uni,[status(thm)],[44672:[bind(A,$thf( forwards ))]]) ).
thf(44815,plain,
! [A: $i] :
( ~ ( happens @ push @ A )
| ( ( terminates @ pull @ forwards @ A )
!= ( terminates @ pull @ forwards @ n1 ) ) ),
inference(paramod_ordered,[status(thm)],[302,44673]) ).
thf(44816,plain,
~ ( happens @ push @ n1 ),
inference(pattern_uni,[status(thm)],[44815:[bind(A,$thf( n1 ))]]) ).
thf(266,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(cnf,[status(esa)],[260]) ).
thf(287,plain,
! [C: $i,B: $i,A: $i] :
( ( A != pull )
| ( B != forwards )
| ( happens @ push @ C )
| ( terminates @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[266]) ).
thf(288,plain,
! [A: $i] :
( ( happens @ push @ A )
| ( terminates @ pull @ forwards @ A ) ),
inference(simp,[status(thm)],[287]) ).
thf(44788,plain,
! [A: $i] :
( ( happens @ push @ A )
| ( ( terminates @ pull @ forwards @ A )
!= ( terminates @ pull @ forwards @ n1 ) ) ),
inference(paramod_ordered,[status(thm)],[288,44673]) ).
thf(44789,plain,
happens @ push @ n1,
inference(pattern_uni,[status(thm)],[44788:[bind(A,$thf( n1 ))]]) ).
thf(45162,plain,
~ $true,
inference(rewrite,[status(thm)],[44816,44789]) ).
thf(45163,plain,
$false,
inference(simp,[status(thm)],[45162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.13 % Command : run_Leo-III %s %d
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 6 23:23:09 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.93/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.03 % [INFO] Parsing done (158ms).
% 1.23/1.04 % [INFO] Running in sequential loop mode.
% 1.91/1.35 % [INFO] nitpick registered as external prover.
% 1.91/1.36 % [INFO] Scanning for conjecture ...
% 2.15/1.46 % [INFO] Found a conjecture and 47 axioms. Running axiom selection ...
% 2.34/1.54 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 2.67/1.63 % [INFO] Problem is first-order (TPTP FOF).
% 2.67/1.64 % [INFO] Type checking passed.
% 2.67/1.64 % [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 ...
% 129.79/19.95 % [INFO] Killing All external provers ...
% 130.09/19.95 % Time passed: 19476ms (effective reasoning time: 18908ms)
% 130.09/19.95 % 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)>
% 130.09/19.96 % Axioms used in derivation (4): terminates_all_defn, happens_all_defn, happens_terminates_not_holds, plus1_1
% 130.09/19.96 % No. of inferences in proof: 37
% 130.09/19.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 19476 ms resp. 18908 ms w/o parsing
% 130.09/19.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 130.09/19.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------