TSTP Solution File: SYN390^4 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYN390^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 : Tue May 21 08:18:21 EDT 2024
% Result : Theorem 2.69s 1.85s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 5 unt; 4 typ; 3 def)
% Number of atoms : 24 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 19 ( 2 ~; 0 |; 0 &; 17 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 3 ( 3 ^ 0 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(iatom_def,definition,
( iatom
= ( ^ [A: $i > $o] : A ) ) ).
thf(iequiv_type,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(iequiv_def,definition,
( iequiv
= ( ^ [A: $i > $o,B: $i > $o] : ( iand @ ( iimplies @ A @ B ) @ ( iimplies @ B @ A ) ) ) ) ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(ivalid_def,definition,
( ivalid
= ( '!' @ $i ) ) ).
thf(p_type,type,
p: $i > $o ).
thf(1,conjecture,
ivalid @ ( iequiv @ ( iatom @ p ) @ ( iatom @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel11) ).
thf(2,negated_conjecture,
~ ( ivalid @ ( iequiv @ ( iatom @ p ) @ ( iatom @ p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
$false,
inference(simp,[status(thm)],[5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SYN390^4 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 15:53:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.99/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.14 % [INFO] Parsing done (196ms).
% 1.29/1.15 % [INFO] Running in sequential loop mode.
% 2.01/1.50 % [INFO] nitpick registered as external prover.
% 2.01/1.51 % [INFO] Scanning for conjecture ...
% 2.25/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.25/1.66 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.25/1.66 % [INFO] Problem is higher-order (TPTP THF).
% 2.25/1.67 % [INFO] Type checking passed.
% 2.25/1.67 % [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 ...
% 2.69/1.84 % [INFO] Killing All external provers ...
% 2.69/1.84 % Time passed: 1364ms (effective reasoning time: 688ms)
% 2.69/1.84 % 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)>
% 2.69/1.85 % Axioms used in derivation (0):
% 2.69/1.85 % No. of inferences in proof: 4
% 2.69/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1364 ms resp. 688 ms w/o parsing
% 2.69/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.69/1.89 % [INFO] Killing All external provers ...
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