TSTP Solution File: SEU738^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU738^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 03:43:35 EDT 2024
% Result : Theorem 2.88s 1.68s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 6 unt; 7 typ; 1 def)
% Number of atoms : 34 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 111 ( 14 ~; 2 |; 0 &; 78 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% 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(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
( binunionIL
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ~ ( in @ D @ ( binunion @ B @ C ) )
=> ~ ( in @ D @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionTILcontra) ).
thf(2,negated_conjecture,
~ ( binunionIL
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ~ ( in @ D @ ( binunion @ B @ C ) )
=> ~ ( in @ D @ B ) ) ) ) ) ),
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] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ~ ( in @ D @ ( binunion @ B @ C ) )
=> ~ ( in @ D @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( in @ C @ A )
| ( in @ C @ ( binunion @ A @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
~ ( in @ sk4 @ ( binunion @ sk2 @ sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( in @ C @ A )
| ( ( in @ C @ ( binunion @ A @ B ) )
!= ( in @ sk4 @ ( binunion @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[4,5]) ).
thf(21,plain,
~ ( in @ sk4 @ sk2 ),
inference(pattern_uni,[status(thm)],[20:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 )),bind(C,$thf( sk4 ))]]) ).
thf(9,plain,
in @ sk4 @ sk2,
inference(cnf,[status(esa)],[3]) ).
thf(37,plain,
~ $true,
inference(rewrite,[status(thm)],[21,9]) ).
thf(38,plain,
$false,
inference(simp,[status(thm)],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU738^2 : TPTP v8.2.0. Released v3.7.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n026.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun May 19 17:18:39 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.98 % [INFO] Parsing done (105ms).
% 1.23/0.99 % [INFO] Running in sequential loop mode.
% 1.60/1.20 % [INFO] nitpick registered as external prover.
% 1.60/1.20 % [INFO] Scanning for conjecture ...
% 1.81/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.81/1.29 % [INFO] Type checking passed.
% 1.81/1.29 % [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 ...
% 2.88/1.67 % [INFO] Killing All external provers ...
% 2.88/1.68 % Time passed: 1154ms (effective reasoning time: 684ms)
% 2.88/1.68 % 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)>
% 2.88/1.68 % Axioms used in derivation (0):
% 2.88/1.68 % No. of inferences in proof: 10
% 2.88/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1154 ms resp. 684 ms w/o parsing
% 2.89/1.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.89/1.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------