TSTP Solution File: SWV074+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV074+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 21 05:50:27 EDT 2024
% Result : Theorem 4.68s 2.10s
% Output : Refutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 12 ( 2 unt; 8 typ; 0 def)
% Number of atoms : 18 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 64 ( 2 ~; 0 |; 12 &; 48 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(pv31_type,type,
pv31: $i ).
thf(pv36_type,type,
pv36: $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n5_type,type,
n5: $i ).
thf(n1_type,type,
n1: $i ).
thf(n135300_type,type,
n135300: $i ).
thf(1,conjecture,
( ( ( leq @ n0 @ pv31 )
& ( leq @ n0 @ pv36 )
& ( leq @ pv31 @ ( minus @ n5 @ n1 ) )
& ( leq @ pv36 @ ( minus @ n135300 @ n1 ) ) )
=> ( ( leq @ n0 @ pv31 )
& ( leq @ n0 @ pv36 )
& ( leq @ pv31 @ ( minus @ n5 @ n1 ) )
& ( leq @ pv36 @ ( minus @ n135300 @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0015) ).
thf(2,negated_conjecture,
~ ( ( ( leq @ n0 @ pv31 )
& ( leq @ n0 @ pv36 )
& ( leq @ pv31 @ ( minus @ n5 @ n1 ) )
& ( leq @ pv36 @ ( minus @ n135300 @ n1 ) ) )
=> ( ( leq @ n0 @ pv31 )
& ( leq @ n0 @ pv36 )
& ( leq @ pv31 @ ( minus @ n5 @ n1 ) )
& ( leq @ pv36 @ ( minus @ n135300 @ n1 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(92,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(93,plain,
$false,
inference(simp,[status(thm)],[92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV074+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n005.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 : Sun May 19 08:48:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/1.01 % [INFO] Parsing done (144ms).
% 1.15/1.02 % [INFO] Running in sequential loop mode.
% 1.75/1.23 % [INFO] nitpick registered as external prover.
% 1.75/1.23 % [INFO] Scanning for conjecture ...
% 2.00/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 91 axioms. Running axiom selection ...
% 2.26/1.36 % [INFO] Axiom selection finished. Selected 89 axioms (removed 2 axioms).
% 2.56/1.45 % [INFO] Problem is first-order (TPTP FOF).
% 2.56/1.46 % [INFO] Type checking passed.
% 2.56/1.47 % [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 ...
% 4.68/2.10 % [INFO] Killing All external provers ...
% 4.68/2.10 % Time passed: 1564ms (effective reasoning time: 1071ms)
% 4.68/2.10 % 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)>
% 4.68/2.10 % Axioms used in derivation (0):
% 4.68/2.10 % No. of inferences in proof: 4
% 4.68/2.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1564 ms resp. 1071 ms w/o parsing
% 5.18/2.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.18/2.18 % [INFO] Killing All external provers ...
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