TSTP Solution File: SET046+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 11:52:10 EDT 2023
% Result : Theorem 2.72s 1.69s
% Output : Refutation 2.83s
% 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 : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 42 ( 9 ~; 0 |; 5 &; 24 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 3 !; 7 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
! [B: $i] :
( ( element @ B @ A )
<=> ~ ? [C: $i] :
( ( element @ B @ C )
& ( element @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel42) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
! [B: $i] :
( ( element @ B @ A )
<=> ~ ? [C: $i] :
( ( element @ B @ C )
& ( element @ C @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
! [B: $i] :
( ( ( element @ B @ A )
=> ~ ? [C: $i] :
( ( element @ B @ C )
& ( element @ C @ B ) ) )
& ( ~ ? [C: $i] :
( ( element @ B @ C )
& ( element @ C @ B ) )
=> ( element @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n009.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 : Thu May 18 18:45:04 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.06/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.04 % [INFO] Parsing done (119ms).
% 1.29/1.05 % [INFO] Running in sequential loop mode.
% 1.65/1.26 % [INFO] eprover registered as external prover.
% 1.65/1.26 % [INFO] cvc4 registered as external prover.
% 1.65/1.27 % [INFO] Scanning for conjecture ...
% 1.65/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.93/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.93/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 1.93/1.34 % [INFO] Type checking passed.
% 1.93/1.34 % [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 ...
% 2.72/1.69 % External prover 'e' found a proof!
% 2.72/1.69 % [INFO] Killing All external provers ...
% 2.72/1.69 % Time passed: 1157ms (effective reasoning time: 639ms)
% 2.72/1.69 % 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)>
% 2.72/1.69 % Axioms used in derivation (0):
% 2.72/1.69 % No. of inferences in proof: 4
% 2.72/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1157 ms resp. 639 ms w/o parsing
% 2.83/1.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.83/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------