TSTP Solution File: SYO368^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO368^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 08:56:32 EDT 2024
% Result : Theorem 2.40s 1.57s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 43 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 22 ( 6 ~; 0 |; 3 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $o ).
thf(cP_type,type,
cP: $o > $o ).
thf(a_type,type,
a: $o ).
thf(1,conjecture,
( ( ( a = b )
& ( cP @ a ) )
=> ( cP @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT1) ).
thf(2,negated_conjecture,
~ ( ( ( a = b )
& ( cP @ a ) )
=> ( cP @ b ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( a = b )
& ( cP @ a ) )
=> ( cP @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
cP @ a,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( cP @ b ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
( ( cP @ a )
!= ( cP @ b ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(9,plain,
a != b,
inference(simp,[status(thm)],[8]) ).
thf(6,plain,
a = b,
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
a = b,
inference(lifteq,[status(thm)],[6]) ).
thf(13,plain,
b != b,
inference(rewrite,[status(thm)],[9,7]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO368^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:37:24 EDT 2024
% 0.15/0.35 % CPUTime :
% 1.03/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/1.02 % [INFO] Parsing done (108ms).
% 1.33/1.03 % [INFO] Running in sequential loop mode.
% 1.70/1.24 % [INFO] eprover registered as external prover.
% 1.70/1.24 % [INFO] cvc4 registered as external prover.
% 1.70/1.25 % [INFO] Scanning for conjecture ...
% 1.70/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.31 % [INFO] Type checking passed.
% 1.89/1.31 % [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 ...
% 2.40/1.56 % [INFO] Killing All external provers ...
% 2.40/1.57 % Time passed: 1040ms (effective reasoning time: 533ms)
% 2.40/1.57 % 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)>
% 2.40/1.57 % Axioms used in derivation (0):
% 2.40/1.57 % No. of inferences in proof: 11
% 2.40/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1040 ms resp. 533 ms w/o parsing
% 2.40/1.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.40/1.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------