TSTP Solution File: SYN382^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN382^5 : 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 08:11:50 EDT 2024
% Result : Theorem 2.73s 1.54s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 35 ( 2 ~; 6 |; 0 &; 24 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 ^ 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(cQ_type,type,
cQ: $i > $i > $o ).
thf(cP_type,type,
cP: $i > $i > $o ).
thf(1,conjecture,
( ! [A: $i] :
? [B: $i] :
( ! [C: $i] : ( cP @ B @ C )
| ( cQ @ B @ A ) )
=> ! [A: $i] :
? [B: $i] :
( ( cP @ B @ A )
| ( cQ @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX2134) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] : ( cP @ B @ C )
| ( cQ @ B @ A ) )
=> ! [A: $i] :
? [B: $i] :
( ( cP @ B @ A )
| ( cQ @ B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] : ( cP @ B @ C )
| ( cQ @ B @ A ) )
=> ! [A: $i] :
? [B: $i] :
( ( cP @ B @ A )
| ( cQ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN382^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 14:33:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (90ms).
% 1.20/0.95 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] eprover registered as external prover.
% 1.48/1.15 % [INFO] cvc4 registered as external prover.
% 1.48/1.15 % [INFO] Scanning for conjecture ...
% 1.72/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.72/1.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.72/1.22 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.22 % [INFO] Type checking passed.
% 1.80/1.22 % [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 ...
% 2.73/1.54 % External prover 'e' found a proof!
% 2.73/1.54 % [INFO] Killing All external provers ...
% 2.73/1.54 % Time passed: 1017ms (effective reasoning time: 582ms)
% 2.73/1.54 % 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)>
% 2.73/1.54 % Axioms used in derivation (0):
% 2.73/1.54 % No. of inferences in proof: 4
% 2.73/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1017 ms resp. 582 ms w/o parsing
% 2.73/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.73/1.55 % [INFO] Killing All external provers ...
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