TSTP Solution File: SET047+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 : Fri May 19 11:52:11 EDT 2023
% Result : Theorem 2.34s 1.42s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 60 ( 2 ~; 0 |; 4 &; 42 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_equal_type,type,
set_equal: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( set_equal @ A @ B )
<=> ( set_equal @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( set_equal @ A @ B )
<=> ( set_equal @ B @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i] :
( ( ( set_equal @ A @ B )
=> ( set_equal @ B @ A ) )
& ( ( set_equal @ B @ A )
=> ( set_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( set_equal @ A @ B )
<=> ! [C: $i] :
( ( element @ C @ A )
<=> ( element @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel43_1) ).
thf(10,plain,
! [A: $i,B: $i] :
( ( ( set_equal @ A @ B )
=> ! [C: $i] :
( ( ( element @ C @ A )
=> ( element @ C @ B ) )
& ( ( element @ C @ B )
=> ( element @ C @ A ) ) ) )
& ( ! [C: $i] :
( ( ( element @ C @ A )
=> ( element @ C @ B ) )
& ( ( element @ C @ B )
=> ( element @ C @ A ) ) )
=> ( set_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[4,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n013.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 18 19:03:36 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.83/0.74 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.03/0.84 % [INFO] Parsing done (108ms).
% 1.03/0.85 % [INFO] Running in sequential loop mode.
% 1.46/1.05 % [INFO] eprover registered as external prover.
% 1.46/1.05 % [INFO] cvc4 registered as external prover.
% 1.46/1.05 % [INFO] Scanning for conjecture ...
% 1.58/1.10 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.58/1.12 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.58/1.12 % [INFO] Problem is first-order (TPTP FOF).
% 1.58/1.12 % [INFO] Type checking passed.
% 1.58/1.13 % [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 ...
% 2.34/1.42 % External prover 'e' found a proof!
% 2.34/1.42 % [INFO] Killing All external provers ...
% 2.34/1.42 % Time passed: 1005ms (effective reasoning time: 563ms)
% 2.34/1.42 % 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)>
% 2.34/1.42 % Axioms used in derivation (1): pel43_1
% 2.34/1.42 % No. of inferences in proof: 6
% 2.34/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1005 ms resp. 563 ms w/o parsing
% 2.63/1.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.48 % [INFO] Killing All external provers ...
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