TSTP Solution File: SYO160^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO160^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 08:55:57 EDT 2024
% Result : Theorem 2.38s 1.60s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 10 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 28 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 53 ( 2 ~; 3 |; 12 &; 27 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $i ).
thf(cR_type,type,
cR: $i > $o ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(cQ_type,type,
cQ: $i > $o ).
thf(cP_type,type,
cP: $i > $o ).
thf(1,conjecture,
( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDISJ_THIRD) ).
thf(2,negated_conjecture,
~ ( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO160^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 09:12:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.06/1.00 % [INFO] Parsing done (117ms).
% 1.06/1.01 % [INFO] Running in sequential loop mode.
% 1.67/1.23 % [INFO] eprover registered as external prover.
% 1.67/1.23 % [INFO] cvc4 registered as external prover.
% 1.67/1.24 % [INFO] Scanning for conjecture ...
% 1.67/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.87/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.32 % [INFO] Type checking passed.
% 1.87/1.32 % [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 ...
% 2.38/1.60 % External prover 'e' found a proof!
% 2.38/1.60 % [INFO] Killing All external provers ...
% 2.38/1.60 % Time passed: 1090ms (effective reasoning time: 588ms)
% 2.38/1.60 % 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)>
% 2.38/1.60 % Axioms used in derivation (0):
% 2.38/1.60 % No. of inferences in proof: 4
% 2.38/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1090 ms resp. 588 ms w/o parsing
% 2.63/1.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------