TSTP Solution File: SYO129^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO129^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 08:59:22 EDT 2024
% Result : Theorem 1.96s 1.44s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 2 unt; 4 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 8 ~; 4 |; 6 &; 16 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 5 con; 0-1 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $i ).
thf(cP_type,type,
cP: $i > $o ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(1,conjecture,
( ! [A: $i] : ( cP @ A )
=> ( ( cP @ a )
& ( cP @ b )
& ( cP @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cALLCONJ3) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] : ( cP @ A )
=> ( ( cP @ a )
& ( cP @ b )
& ( cP @ c ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] : ( cP @ A )
=> ( ( cP @ a )
& ( cP @ b )
& ( cP @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ~ ( cP @ a )
| ~ ( cP @ b )
| ~ ( cP @ c ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i] : ( cP @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[4,5]) ).
thf(7,plain,
$false,
inference(simp,[status(thm)],[6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYO129^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.12/0.31 % Computer : n012.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 20 09:05:39 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.78/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.99/0.91 % [INFO] Parsing done (112ms).
% 0.99/0.92 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] nitpick registered as external prover.
% 1.48/1.15 % [INFO] Scanning for conjecture ...
% 1.58/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.58/1.22 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.58/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.68/1.23 % [INFO] Type checking passed.
% 1.68/1.23 % [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 ...
% 1.96/1.44 % [INFO] Killing All external provers ...
% 1.96/1.44 % Time passed: 994ms (effective reasoning time: 516ms)
% 1.96/1.44 % 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)>
% 1.96/1.44 % Axioms used in derivation (0):
% 1.96/1.44 % No. of inferences in proof: 7
% 1.96/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 994 ms resp. 516 ms w/o parsing
% 2.14/1.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.14/1.46 % [INFO] Killing All external provers ...
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