TSTP Solution File: SEV043^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV043^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 04:10:49 EDT 2024
% Result : Theorem 2.74s 1.58s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 31 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 164 ( 21 ~; 11 |; 8 &; 108 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 0 ^ 47 !; 1 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > a > $o ).
thf(sk2_type,type,
sk2: a ).
thf(sk3_type,type,
sk3: a ).
thf(1,conjecture,
! [A: a > a > $o] :
( ( ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM510_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o] :
( ( ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ B @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o] :
( ( ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ B @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: a > a > $o] :
( ( ! [B: a,C: a] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: a,C: a,D: a] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) )
=> ! [B: a] :
( ? [C: a] : ( A @ B @ C )
=> ( A @ B @ B ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
sk1 @ sk2 @ sk3,
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [C: a,B: a,A: a] :
( ~ ( sk1 @ A @ B )
| ~ ( sk1 @ B @ C )
| ( sk1 @ A @ C ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [C: a,B: a,A: a] :
( ~ ( sk1 @ A @ B )
| ~ ( sk1 @ B @ C )
| ( sk1 @ A @ C ) ),
inference(simp,[status(thm)],[7]) ).
thf(5,plain,
~ ( sk1 @ sk2 @ sk2 ),
inference(cnf,[status(esa)],[4]) ).
thf(18,plain,
! [C: a,B: a,A: a] :
( ~ ( sk1 @ A @ B )
| ~ ( sk1 @ B @ C )
| ( ( sk1 @ A @ C )
!= ( sk1 @ sk2 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[9,5]) ).
thf(19,plain,
! [A: a] :
( ~ ( sk1 @ sk2 @ A )
| ~ ( sk1 @ A @ sk2 ) ),
inference(pattern_uni,[status(thm)],[18:[bind(A,$thf( sk2 )),bind(B,$thf( B )),bind(C,$thf( sk2 ))]]) ).
thf(36,plain,
! [A: a] :
( ~ ( sk1 @ sk2 @ A )
| ~ ( sk1 @ A @ sk2 ) ),
inference(simp,[status(thm)],[19]) ).
thf(41,plain,
! [A: a] :
( ~ ( sk1 @ A @ sk2 )
| ( ( sk1 @ sk2 @ sk3 )
!= ( sk1 @ sk2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6,36]) ).
thf(42,plain,
~ ( sk1 @ sk3 @ sk2 ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( sk3 ))]]) ).
thf(8,plain,
! [B: a,A: a] :
( ~ ( sk1 @ A @ B )
| ( sk1 @ B @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(14,plain,
! [B: a,A: a] :
( ( sk1 @ B @ A )
| ( ( sk1 @ sk2 @ sk3 )
!= ( sk1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6,8]) ).
thf(15,plain,
sk1 @ sk3 @ sk2,
inference(pattern_uni,[status(thm)],[14:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(74,plain,
~ $true,
inference(rewrite,[status(thm)],[42,15]) ).
thf(75,plain,
$false,
inference(simp,[status(thm)],[74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV043^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n022.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 19:17:54 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.88/0.77 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.08/0.87 % [INFO] Parsing done (93ms).
% 1.08/0.88 % [INFO] Running in sequential loop mode.
% 1.39/1.08 % [INFO] nitpick registered as external prover.
% 1.55/1.08 % [INFO] Scanning for conjecture ...
% 1.55/1.13 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.55/1.15 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.55/1.15 % [INFO] Problem is higher-order (TPTP THF).
% 1.55/1.15 % [INFO] Type checking passed.
% 1.55/1.15 % [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 ...
% 2.74/1.57 % [INFO] Killing All external provers ...
% 2.74/1.57 % Time passed: 1069ms (effective reasoning time: 693ms)
% 2.74/1.57 % 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)>
% 2.74/1.57 % Axioms used in derivation (0):
% 2.74/1.57 % No. of inferences in proof: 18
% 2.74/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1069 ms resp. 693 ms w/o parsing
% 2.74/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.74/1.61 % [INFO] Killing All external provers ...
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