TSTP Solution File: SEV389^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV389^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n028.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 16:00:08 EDT 2024
% Result : Theorem 2.43s 1.57s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 52 ( 6 ~; 3 |; 7 &; 30 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 5 ^ 7 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(cS_type,type,
cS: $i > $o ).
thf(cR_type,type,
cR: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( cR
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM37_pme) ).
thf(2,negated_conjecture,
~ ( ( cR
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( cR
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) )
=> ! [A: $i] :
( ( cR @ A )
=> ( cS @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
cR @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( cR
= ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
( ( ^ [A: $i] :
( ( cR @ A )
& ( cS @ A ) ) )
= cR ),
inference(lifteq,[status(thm)],[6]) ).
thf(8,plain,
! [A: $i] :
( ( ( cR @ A )
& ( cS @ A ) )
= ( cR @ A ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(12,plain,
! [A: $i] :
( ( ( cR @ A )
& ( cS @ A ) )
| ~ ( cR @ A ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(16,plain,
! [A: $i] :
( ~ ( cR @ A )
| ( cS @ A ) ),
inference(cnf,[status(esa)],[12]) ).
thf(18,plain,
! [A: $i] :
( ( cS @ A )
| ( ( cR @ sk1 )
!= ( cR @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,16]) ).
thf(19,plain,
cS @ sk1,
inference(pattern_uni,[status(thm)],[18:[bind(A,$thf( sk1 ))]]) ).
thf(4,plain,
~ ( cS @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(20,plain,
$false,
inference(rewrite,[status(thm)],[19,4]) ).
thf(21,plain,
$false,
inference(simp,[status(thm)],[20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV389^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.32 % Computer : n028.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 : Fri Jun 21 18:52:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.01/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.03 % [INFO] Parsing done (112ms).
% 1.31/1.03 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] nitpick registered as external prover.
% 1.72/1.23 % [INFO] Scanning for conjecture ...
% 1.72/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.72/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.72/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.91/1.30 % [INFO] Type checking passed.
% 1.91/1.30 % [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 ...
% 2.43/1.57 % [INFO] Killing All external provers ...
% 2.43/1.57 % Time passed: 1049ms (effective reasoning time: 530ms)
% 2.43/1.57 % 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)>
% 2.43/1.57 % Axioms used in derivation (0):
% 2.43/1.57 % No. of inferences in proof: 14
% 2.43/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1049 ms resp. 530 ms w/o parsing
% 2.70/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.64 % [INFO] Killing All external provers ...
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