TSTP Solution File: SWV073^7 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWV073^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n029.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 : Mon Jun 24 17:27:39 EDT 2024
% Result : Theorem 13.06s 5.31s
% Output : Refutation 14.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 4 def)
% Number of atoms : 68 ( 4 equ; 0 cnn)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 111 ( 3 ~; 1 |; 0 &; 107 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 12 con; 0-3 aty)
% Number of variables : 6 ( 5 ^ 1 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: $i > $o,B: $i > $o] : ( mnot @ ( mor @ ( mnot @ A ) @ ( mnot @ B ) ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(mbox_s4_def,definition,
( mbox_s4
= ( ^ [A: $i > $o,B: $i] :
! [C: $i] :
( ~ ( rel_s4 @ B @ C )
| ( A @ C ) ) ) ) ).
thf(leq_type,type,
leq: mu > mu > $i > $o ).
thf(minus_type,type,
minus: mu > mu > mu ).
thf(pv35_type,type,
pv35: mu ).
thf(pv31_type,type,
pv31: mu ).
thf(n135300_type,type,
n135300: mu ).
thf(n5_type,type,
n5: mu ).
thf(n1_type,type,
n1: mu ).
thf(n0_type,type,
n0: mu ).
thf(1,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0014) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(178,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(179,plain,
$false,
inference(simp,[status(thm)],[178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV073^7 : TPTP v8.2.0. Released v5.5.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 18:40:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.78/1.11 % [INFO] Parsing done (254ms).
% 1.78/1.12 % [INFO] Running in sequential loop mode.
% 2.55/1.33 % [INFO] nitpick registered as external prover.
% 2.55/1.33 % [INFO] Scanning for conjecture ...
% 2.91/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 175 axioms. Running axiom selection ...
% 3.36/1.57 % [INFO] Axiom selection finished. Selected 175 axioms (removed 0 axioms).
% 3.60/1.68 % [INFO] Problem is higher-order (TPTP THF).
% 3.77/1.69 % [INFO] Type checking passed.
% 3.77/1.69 % [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 ...
% 13.06/5.30 % [INFO] Killing All external provers ...
% 13.06/5.31 % Time passed: 4785ms (effective reasoning time: 4182ms)
% 13.06/5.31 % 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)>
% 13.06/5.31 % Axioms used in derivation (0):
% 13.06/5.31 % No. of inferences in proof: 4
% 13.06/5.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4785 ms resp. 4182 ms w/o parsing
% 14.29/5.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.29/5.48 % [INFO] Killing All external provers ...
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