TSTP Solution File: SEU537^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU537^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 03:38:05 EDT 2024
% Result : Theorem 3.57s 2.37s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 8 ~; 0 |; 3 &; 18 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 9 !; 3 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( in @ C @ A )
=> ~ ( B @ C ) )
=> ~ ? [C: $i] :
( ( in @ C @ A )
& ( B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan2) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( in @ C @ A )
=> ~ ( B @ C ) )
=> ~ ? [C: $i] :
( ( in @ C @ A )
& ( B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( in @ C @ A )
=> ~ ( B @ C ) )
=> ~ ? [C: $i] :
( ( in @ C @ A )
& ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU537^2 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.14 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 16:48:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.17/1.14 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/1.32 % [INFO] Parsing done (175ms).
% 1.67/1.33 % [INFO] Running in sequential loop mode.
% 2.27/1.78 % [INFO] eprover registered as external prover.
% 2.27/1.78 % [INFO] cvc4 registered as external prover.
% 2.27/1.79 % [INFO] Scanning for conjecture ...
% 2.45/1.88 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.45/1.92 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.45/1.92 % [INFO] Problem is higher-order (TPTP THF).
% 2.58/1.92 % [INFO] Type checking passed.
% 2.58/1.93 % [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 ...
% 3.25/2.36 % External prover 'cvc4' found a proof!
% 3.25/2.36 % [INFO] Killing All external provers ...
% 3.57/2.36 % Time passed: 1838ms (effective reasoning time: 1025ms)
% 3.57/2.36 % 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)>
% 3.57/2.37 % Axioms used in derivation (0):
% 3.57/2.37 % No. of inferences in proof: 4
% 3.57/2.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1838 ms resp. 1025 ms w/o parsing
% 3.60/2.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.60/2.40 % [INFO] Killing All external provers ...
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