TSTP Solution File: SEU568^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU568^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 03:42:45 EDT 2024
% Result : Theorem 2.82s 2.00s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 7 typ; 2 def)
% Number of atoms : 34 ( 9 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 70 ( 18 ~; 0 |; 0 &; 34 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 ^ 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(notsubsetI_type,type,
notsubsetI: $o ).
thf(notsubsetI_def,definition,
( notsubsetI
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ~ ( subset @ A @ B ) ) ) ) ) ).
thf(notequalI1_type,type,
notequalI1: $o ).
thf(notequalI1_def,definition,
( notequalI1
= ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
( notsubsetI
=> ( notequalI1
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI2) ).
thf(2,negated_conjecture,
~ ( notsubsetI
=> ( notequalI1
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ~ ( subset @ A @ B ) ) )
=> ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) )
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( A != B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
in @ sk3 @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
~ ( in @ sk3 @ sk2 ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
sk1 = sk2,
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
sk2 = sk1,
inference(lifteq,[status(thm)],[5]) ).
thf(12,plain,
~ ( in @ sk3 @ sk1 ),
inference(rewrite,[status(thm)],[7,9]) ).
thf(13,plain,
$false,
inference(rewrite,[status(thm)],[4,12]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU568^2 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 16:50:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.98/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.34/1.12 % [INFO] Parsing done (164ms).
% 1.34/1.13 % [INFO] Running in sequential loop mode.
% 1.79/1.49 % [INFO] nitpick registered as external prover.
% 1.79/1.49 % [INFO] Scanning for conjecture ...
% 2.08/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.08/1.62 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.08/1.63 % [INFO] Problem is higher-order (TPTP THF).
% 2.08/1.63 % [INFO] Type checking passed.
% 2.08/1.63 % [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 ...
% 2.82/1.99 % [INFO] Killing All external provers ...
% 2.82/2.00 % Time passed: 1516ms (effective reasoning time: 857ms)
% 2.82/2.00 % 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)>
% 2.82/2.00 % Axioms used in derivation (0):
% 2.82/2.00 % No. of inferences in proof: 10
% 2.82/2.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1516 ms resp. 857 ms w/o parsing
% 2.82/2.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.82/2.03 % [INFO] Killing All external provers ...
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