TSTP Solution File: SEU518^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU518^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 03:42:26 EDT 2024
% Result : Theorem 3.21s 1.79s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 9 unt; 6 typ; 1 def)
% Number of atoms : 50 ( 7 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 10 ~; 4 |; 0 &; 86 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(powersetAx_def,definition,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
= ( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
( powersetAx
=> ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
thf(2,negated_conjecture,
~ ( powersetAx
=> ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
= ( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ) )
=> ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
! [B: $i,A: $i] :
( ( in @ B @ ( powerset @ A ) )
= ( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( in @ B @ ( powerset @ A ) )
= ( ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(4,plain,
~ ( in @ sk2 @ ( powerset @ sk1 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) )
| ( ( in @ B @ ( powerset @ A ) )
!= ( in @ sk2 @ ( powerset @ sk1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,4]) ).
thf(12,plain,
~ ! [A: $i] :
( ( in @ A @ sk2 )
=> ( in @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(17,plain,
in @ sk4 @ sk2,
inference(cnf,[status(esa)],[12]) ).
thf(5,plain,
! [A: $i] :
( ~ ( in @ A @ sk2 )
| ( in @ A @ sk1 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i] :
( ~ ( in @ A @ sk2 )
| ( in @ A @ sk1 ) ),
inference(simp,[status(thm)],[5]) ).
thf(58,plain,
! [A: $i] :
( ( in @ A @ sk1 )
| ( ( in @ sk4 @ sk2 )
!= ( in @ A @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[17,7]) ).
thf(59,plain,
in @ sk4 @ sk1,
inference(pattern_uni,[status(thm)],[58:[bind(A,$thf( sk4 ))]]) ).
thf(16,plain,
~ ( in @ sk4 @ sk1 ),
inference(cnf,[status(esa)],[12]) ).
thf(66,plain,
$false,
inference(rewrite,[status(thm)],[59,16]) ).
thf(67,plain,
$false,
inference(simp,[status(thm)],[66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU518^2 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 17:29:24 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.94 % [INFO] Parsing done (94ms).
% 1.16/0.95 % [INFO] Running in sequential loop mode.
% 1.60/1.20 % [INFO] nitpick registered as external prover.
% 1.60/1.21 % [INFO] Scanning for conjecture ...
% 1.77/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.77/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.77/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.77/1.30 % [INFO] Type checking passed.
% 1.77/1.30 % [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 ...
% 3.21/1.78 % [INFO] Killing All external provers ...
% 3.21/1.79 % Time passed: 1280ms (effective reasoning time: 830ms)
% 3.21/1.79 % 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)>
% 3.21/1.79 % Axioms used in derivation (0):
% 3.21/1.79 % No. of inferences in proof: 16
% 3.21/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1280 ms resp. 830 ms w/o parsing
% 3.23/1.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.23/1.82 % [INFO] Killing All external provers ...
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