TSTP Solution File: SET626^5 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SET626^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 7 08:07:41 EDT 2024
% Result : Theorem 1.87s 1.45s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 2 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 29 ( 2 ~; 0 |; 9 &; 15 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 ^ 6 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cZ_type,type,
cZ: a > $o ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ? [C: a] :
( ( A @ C )
& ( B @ C )
& ( cZ @ C ) )
=> ? [C: a] :
( ( A @ C )
& ( B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_102_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ? [C: a] :
( ( A @ C )
& ( B @ C )
& ( cZ @ C ) )
=> ? [C: a] :
( ( A @ C )
& ( B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ? [C: a] :
( ( A @ C )
& ( B @ C )
& ( cZ @ C ) )
=> ? [C: a] :
( ( A @ C )
& ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET626^5 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.10 % Command : run_Leo-III %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 6 13:15:39 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.66/0.67 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.87/0.77 % [INFO] Parsing done (97ms).
% 0.87/0.77 % [INFO] Running in sequential loop mode.
% 1.19/0.97 % [INFO] eprover registered as external prover.
% 1.19/0.97 % [INFO] cvc4 registered as external prover.
% 1.19/0.98 % [INFO] Scanning for conjecture ...
% 1.19/1.02 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.32/1.04 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.32/1.04 % [INFO] Problem is higher-order (TPTP THF).
% 1.32/1.05 % [INFO] Type checking passed.
% 1.32/1.05 % [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 ...
% 1.87/1.45 % External prover 'cvc4' found a proof!
% 1.87/1.45 % [INFO] Killing All external provers ...
% 1.87/1.45 % Time passed: 1058ms (effective reasoning time: 675ms)
% 1.87/1.45 % 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)>
% 1.87/1.45 % Axioms used in derivation (0):
% 1.87/1.45 % No. of inferences in proof: 4
% 1.87/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1058 ms resp. 675 ms w/o parsing
% 1.87/1.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.87/1.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------