TSTP Solution File: SET687+4 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET687+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 03:06:47 EDT 2024
% Result : Theorem 4.84s 2.53s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 37 ( 1 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 7 ~; 7 |; 2 &; 80 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 ^ 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i > $i > $i ).
thf(1,conjecture,
! [A: $i] : ( subset @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI01) ).
thf(2,negated_conjecture,
~ ! [A: $i] : ( subset @ A @ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ! [A: $i] : ( subset @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
~ ( subset @ sk1 @ sk1 ),
inference(cnf,[status(esa)],[14]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( ( subset @ A @ B )
=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) )
& ( ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) )
=> ( subset @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) )
=> ( subset @ A @ B ) ) ),
inference(miniscope,[status(thm)],[16]) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( member @ ( sk2 @ B @ A ) @ A )
| ( subset @ A @ B ) ),
inference(cnf,[status(esa)],[17]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( member @ ( sk2 @ B @ A ) @ A )
| ( subset @ A @ B ) ),
inference(simp,[status(thm)],[18]) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( member @ ( sk2 @ B @ A ) @ B )
| ( subset @ A @ B ) ),
inference(cnf,[status(esa)],[17]) ).
thf(22,plain,
! [B: $i,A: $i] :
( ~ ( member @ ( sk2 @ B @ A ) @ B )
| ( subset @ A @ B ) ),
inference(simp,[status(thm)],[19]) ).
thf(209,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( subset @ A @ B )
| ( subset @ C @ D )
| ( ( member @ ( sk2 @ B @ A ) @ A )
!= ( member @ ( sk2 @ D @ C ) @ D ) ) ),
inference(paramod_ordered,[status(thm)],[21,22]) ).
thf(210,plain,
! [A: $i] :
( ( subset @ A @ A )
| ( subset @ A @ A ) ),
inference(pattern_uni,[status(thm)],[209:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(216,plain,
! [A: $i] : ( subset @ A @ A ),
inference(simp,[status(thm)],[210]) ).
thf(221,plain,
~ $true,
inference(rewrite,[status(thm)],[15,216]) ).
thf(222,plain,
$false,
inference(simp,[status(thm)],[221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET687+4 : TPTP v8.2.0. Released v2.2.0.
% 0.09/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n027.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 12:20:38 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.91/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/1.04 % [INFO] Parsing done (166ms).
% 1.17/1.05 % [INFO] Running in sequential loop mode.
% 1.66/1.38 % [INFO] nitpick registered as external prover.
% 1.66/1.38 % [INFO] Scanning for conjecture ...
% 1.90/1.46 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 1.92/1.49 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.06/1.52 % [INFO] Problem is first-order (TPTP FOF).
% 2.06/1.53 % [INFO] Type checking passed.
% 2.06/1.53 % [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 ...
% 4.84/2.52 % [INFO] Killing All external provers ...
% 4.84/2.52 % Time passed: 2087ms (effective reasoning time: 1468ms)
% 4.84/2.52 % 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)>
% 4.84/2.53 % Axioms used in derivation (1): subset
% 4.84/2.53 % No. of inferences in proof: 16
% 4.84/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2087 ms resp. 1468 ms w/o parsing
% 4.84/2.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.84/2.56 % [INFO] Killing All external provers ...
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