TSTP Solution File: SWV170+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWV170+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 : Tue May 7 10:57:22 EDT 2024
% Result : Theorem 17.68s 4.32s
% Output : Refutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 39 ( 6 unt; 22 typ; 0 def)
% Number of atoms : 149 ( 35 equ; 0 cnn)
% Maximal formula atoms : 39 ( 8 avg)
% Number of connectives : 455 ( 25 ~; 18 |; 72 &; 298 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 36 ( 0 ^ 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(pv10_type,type,
pv10: $i ).
thf(pv52_type,type,
pv52: $i ).
thf(pv54_type,type,
pv54: $i ).
thf(n135299_type,type,
n135299: $i ).
thf(n4_type,type,
n4: $i ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(loopcounter_type,type,
loopcounter: $i ).
thf(n1_type,type,
n1: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(q_init_type,type,
q_init: $i ).
thf(init_type,type,
init: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(rho_init_type,type,
rho_init: $i ).
thf(mu_init_type,type,
mu_init: $i ).
thf(sigma_init_type,type,
sigma_init: $i ).
thf(center_init_type,type,
center_init: $i ).
thf(muold_init_type,type,
muold_init: $i ).
thf(rhoold_init_type,type,
rhoold_init: $i ).
thf(sigmaold_init_type,type,
sigmaold_init: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv52 )
& ( leq @ n0 @ pv54 )
& ( leq @ pv10 @ n135299 )
& ( leq @ pv52 @ n4 )
& ( leq @ pv54 @ n4 )
& ( gt @ loopcounter @ n1 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n135299 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n4 ) )
=> ( ( a_select3 @ q_init @ A @ B )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rho_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ mu_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigma_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select3 @ center_init @ A @ n0 )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rhoold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigmaold_init @ A )
= init ) ) ) )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0026) ).
thf(2,negated_conjecture,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv52 )
& ( leq @ n0 @ pv54 )
& ( leq @ pv10 @ n135299 )
& ( leq @ pv52 @ n4 )
& ( leq @ pv54 @ n4 )
& ( gt @ loopcounter @ n1 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n135299 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n4 ) )
=> ( ( a_select3 @ q_init @ A @ B )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rho_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ mu_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigma_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select3 @ center_init @ A @ n0 )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rhoold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigmaold_init @ A )
= init ) ) ) )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(92,plain,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv52 )
& ( leq @ n0 @ pv54 )
& ( leq @ pv10 @ n135299 )
& ( leq @ pv52 @ n4 )
& ( leq @ pv54 @ n4 )
& ( gt @ loopcounter @ n1 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n135299 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n4 ) )
=> ( ( a_select3 @ q_init @ A @ B )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rho_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ mu_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigma_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select3 @ center_init @ A @ n0 )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ rhoold_init @ A )
= init ) ) )
& ( ( gt @ loopcounter @ n1 )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ sigmaold_init @ A )
= init ) ) ) )
=> ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n4 ) )
=> ( ( a_select2 @ muold_init @ A )
= init ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(110,plain,
! [A: $i] :
( ~ ( gt @ loopcounter @ n1 )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 )
| ( ( a_select2 @ muold_init @ A )
= init ) ),
inference(cnf,[status(esa)],[92]) ).
thf(111,plain,
! [A: $i] :
( ( ( a_select2 @ muold_init @ A )
= init )
| ~ ( gt @ loopcounter @ n1 )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 ) ),
inference(lifteq,[status(thm)],[110]) ).
thf(112,plain,
! [A: $i] :
( ( ( a_select2 @ muold_init @ A )
= init )
| ~ ( gt @ loopcounter @ n1 )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 ) ),
inference(simp,[status(thm)],[111]) ).
thf(107,plain,
gt @ loopcounter @ n1,
inference(cnf,[status(esa)],[92]) ).
thf(1563,plain,
! [A: $i] :
( ( ( a_select2 @ muold_init @ A )
= init )
| ~ $true
| ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 ) ),
inference(rewrite,[status(thm)],[112,107]) ).
thf(1564,plain,
! [A: $i] :
( ( ( a_select2 @ muold_init @ A )
= init )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 ) ),
inference(simp,[status(thm)],[1563]) ).
thf(95,plain,
( ( a_select2 @ muold_init @ sk1 )
!= init ),
inference(cnf,[status(esa)],[92]) ).
thf(120,plain,
( ( a_select2 @ muold_init @ sk1 )
!= init ),
inference(lifteq,[status(thm)],[95]) ).
thf(1568,plain,
! [A: $i] :
( ~ ( leq @ n0 @ A )
| ~ ( leq @ A @ n4 )
| ( ( a_select2 @ muold_init @ A )
!= ( a_select2 @ muold_init @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[1564,120]) ).
thf(1569,plain,
( ~ ( leq @ n0 @ sk1 )
| ~ ( leq @ sk1 @ n4 ) ),
inference(pattern_uni,[status(thm)],[1568:[bind(A,$thf( sk1 ))]]) ).
thf(106,plain,
leq @ sk1 @ n4,
inference(cnf,[status(esa)],[92]) ).
thf(108,plain,
leq @ n0 @ sk1,
inference(cnf,[status(esa)],[92]) ).
thf(1618,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1569,106,108]) ).
thf(1619,plain,
$false,
inference(simp,[status(thm)],[1618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV170+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue May 7 00:33:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 1.00/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.53/1.09 % [INFO] Parsing done (169ms).
% 1.53/1.10 % [INFO] Running in sequential loop mode.
% 2.04/1.31 % [INFO] nitpick registered as external prover.
% 2.04/1.32 % [INFO] Scanning for conjecture ...
% 2.22/1.42 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ...
% 2.54/1.49 % [INFO] Axiom selection finished. Selected 89 axioms (removed 2 axioms).
% 2.75/1.57 % [INFO] Problem is first-order (TPTP FOF).
% 2.75/1.58 % [INFO] Type checking passed.
% 2.75/1.58 % [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 ...
% 17.68/4.32 % [INFO] Killing All external provers ...
% 17.68/4.32 % Time passed: 3785ms (effective reasoning time: 3218ms)
% 17.68/4.32 % 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)>
% 17.68/4.32 % Axioms used in derivation (0):
% 17.68/4.32 % No. of inferences in proof: 17
% 17.68/4.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3785 ms resp. 3218 ms w/o parsing
% 17.68/4.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.68/4.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------