TSTP Solution File: SWV128+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV128+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 : Fri May 19 12:13:58 EDT 2023
% Result : Theorem 6.12s 2.41s
% Output : Refutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 27 ( 5 unt; 19 typ; 0 def)
% Number of atoms : 77 ( 21 equ; 0 cnn)
% Maximal formula atoms : 24 ( 9 avg)
% Number of connectives : 249 ( 3 ~; 0 |; 51 &; 177 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(t_defuse_type,type,
t_defuse: $i ).
thf(use_type,type,
use: $i ).
thf(tvar_defuse_type,type,
tvar_defuse: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(m_measvars_type,type,
m_measvars: $i ).
thf(n1_type,type,
n1: $i ).
thf(n_steps_type,type,
n_steps: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(rho_defuse_type,type,
rho_defuse: $i ).
thf(n7_type,type,
n7: $i ).
thf(tr_defuse_type,type,
tr_defuse: $i ).
thf(n_statevars_type,type,
n_statevars: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(xinit_defuse_type,type,
xinit_defuse: $i ).
thf(xinit_mean_defuse_type,type,
xinit_mean_defuse: $i ).
thf(z_defuse_type,type,
z_defuse: $i ).
thf(true_type,type,
true: $o ).
thf(48,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
thf(332,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,conjecture,
( ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ rho_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n7 )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ tr_defuse @ A @ B )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_defuse @ A )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_mean_defuse @ A )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thruster_inuse_0001) ).
thf(2,negated_conjecture,
~ ( ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ rho_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n7 )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ tr_defuse @ A @ B )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_defuse @ A )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_mean_defuse @ A )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> true ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(94,plain,
~ ( ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ rho_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n7 )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ tr_defuse @ A @ B )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_defuse @ A )
= use ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n_statevars @ n1 ) ) )
=> ( ( a_select2 @ xinit_mean_defuse @ A )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ m_measvars @ n1 ) )
& ( leq @ B @ ( minus @ n_steps @ n1 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(98,plain,
~ true,
inference(cnf,[status(esa)],[94]) ).
thf(565,plain,
$false,
inference(rewrite,[status(thm)],[332,98]) ).
thf(566,plain,
$false,
inference(simp,[status(thm)],[565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV128+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 01:41:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.90/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.99 % [INFO] Parsing done (153ms).
% 1.46/0.99 % [INFO] Running in sequential loop mode.
% 1.79/1.20 % [INFO] eprover registered as external prover.
% 1.79/1.20 % [INFO] cvc4 registered as external prover.
% 1.79/1.20 % [INFO] Scanning for conjecture ...
% 2.12/1.29 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ...
% 2.42/1.37 % [INFO] Axiom selection finished. Selected 91 axioms (removed 0 axioms).
% 2.61/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.72/1.46 % [INFO] Type checking passed.
% 2.72/1.46 % [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 ...
% 6.12/2.41 % [INFO] Killing All external provers ...
% 6.12/2.41 % Time passed: 1895ms (effective reasoning time: 1409ms)
% 6.12/2.41 % 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)>
% 6.12/2.41 % Axioms used in derivation (1): ttrue
% 6.12/2.41 % No. of inferences in proof: 8
% 6.12/2.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1895 ms resp. 1409 ms w/o parsing
% 6.12/2.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.12/2.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------