TSTP Solution File: SEU740^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU740^2 : TPTP v8.2.0. Released v3.7.0.
% 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 21 03:39:29 EDT 2024
% Result : Theorem 3.65s 2.44s
% Output : Refutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 12 ( 3 unt; 6 typ; 2 def)
% Number of atoms : 35 ( 2 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 108 ( 2 ~; 0 |; 0 &; 81 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 ^ 27 !; 0 ?; 27 :)
% 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(binunionIL_type,type,
binunionIL: $o ).
thf(binunionIL_def,definition,
( binunionIL
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( in @ C @ ( binunion @ A @ B ) ) ) ) ) ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(binintersectEL_def,definition,
( binintersectEL
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binintersect @ A @ B ) )
=> ( in @ C @ A ) ) ) ) ).
thf(1,conjecture,
( binunionIL
=> ( binintersectEL
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ ( powerset @ A ) )
=> ! [E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binintersect @ B @ C ) )
=> ( in @ E @ ( binunion @ B @ D ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inIntersectImpInUnion) ).
thf(2,negated_conjecture,
~ ( binunionIL
=> ( binintersectEL
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ ( powerset @ A ) )
=> ! [E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binintersect @ B @ C ) )
=> ( in @ E @ ( binunion @ B @ D ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( in @ C @ ( binunion @ A @ B ) ) )
=> ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binintersect @ A @ B ) )
=> ( in @ C @ A ) )
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ ( powerset @ A ) )
=> ! [E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binintersect @ B @ C ) )
=> ( in @ E @ ( binunion @ B @ D ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU740^2 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n032.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 : Sun May 19 15:33:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.16/1.13 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.31 % [INFO] Parsing done (184ms).
% 1.47/1.33 % [INFO] Running in sequential loop mode.
% 2.24/1.74 % [INFO] eprover registered as external prover.
% 2.24/1.75 % [INFO] cvc4 registered as external prover.
% 2.24/1.76 % [INFO] Scanning for conjecture ...
% 2.52/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.52/1.93 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.52/1.93 % [INFO] Problem is higher-order (TPTP THF).
% 2.52/1.93 % [INFO] Type checking passed.
% 2.52/1.94 % [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 ...
% 3.65/2.44 % External prover 'e' found a proof!
% 3.65/2.44 % [INFO] Killing All external provers ...
% 3.65/2.44 % Time passed: 1900ms (effective reasoning time: 1104ms)
% 3.65/2.44 % 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)>
% 3.65/2.44 % Axioms used in derivation (0):
% 3.65/2.44 % No. of inferences in proof: 4
% 3.65/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1900 ms resp. 1104 ms w/o parsing
% 3.98/2.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.98/2.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------