TSTP Solution File: SEU746_8 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SEU746_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 12:01:00 EDT 2023
% Result : Theorem 2.63s 1.57s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 32 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 97 ( 2 ~; 2 |; 0 &; 64 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(binunionE_type,type,
binunionE: $o ).
thf(1,conjecture,
( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionTE) ).
thf(2,negated_conjecture,
~ ( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
( binunionE
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionE) ).
thf(13,plain,
( binunionE
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,plain,
$false,
inference(e,[status(thm)],[4,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU746_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 13:00:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.95 % [INFO] Parsing done (107ms).
% 1.25/0.96 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] eprover registered as external prover.
% 1.48/1.16 % [INFO] cvc4 registered as external prover.
% 1.63/1.16 % [INFO] Scanning for conjecture ...
% 1.72/1.20 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.72/1.23 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.85/1.26 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.85/1.26 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.85/1.26 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.85/1.26 % [INFO] Type checking passed.
% 1.85/1.26 % [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 ...
% 2.63/1.56 % External prover 'e' found a proof!
% 2.63/1.56 % [INFO] Killing All external provers ...
% 2.63/1.56 % Time passed: 1051ms (effective reasoning time: 604ms)
% 2.63/1.56 % 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)>
% 2.63/1.56 % Axioms used in derivation (1): binunionE
% 2.63/1.56 % No. of inferences in proof: 6
% 2.63/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1051 ms resp. 604 ms w/o parsing
% 2.91/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.91/1.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------