TSTP Solution File: SEV131^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV131^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n029.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 : Mon Jun 24 15:59:35 EDT 2024
% Result : Theorem 2.82s 1.98s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 9 ~; 6 |; 3 &; 40 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% 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(sk4_type,type,
sk4: a > $o ).
thf(1,conjecture,
! [A: a > a > $o,B: a,C: a] :
( ( A @ B @ C )
=> ! [D: a > $o] :
( ! [E: a,F: a] :
( ( ( A @ E @ F )
& ( D @ E ) )
=> ( D @ F ) )
=> ( ( D @ B )
=> ( D @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM202_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: a,C: a] :
( ( A @ B @ C )
=> ! [D: a > $o] :
( ! [E: a,F: a] :
( ( ( A @ E @ F )
& ( D @ E ) )
=> ( D @ F ) )
=> ( ( D @ B )
=> ( D @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: a,C: a] :
( ( A @ B @ C )
=> ! [D: a > $o] :
( ! [E: a,F: a] :
( ( ( A @ E @ F )
& ( D @ E ) )
=> ( D @ F ) )
=> ( ( D @ B )
=> ( D @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
sk1 @ sk2 @ sk3,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [B: a,A: a] :
( ~ ( sk1 @ A @ B )
| ~ ( sk4 @ A )
| ( sk4 @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(12,plain,
! [B: a,A: a] :
( ~ ( sk4 @ A )
| ( sk4 @ B )
| ( ( sk1 @ sk2 @ sk3 )
!= ( sk1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7,6]) ).
thf(13,plain,
( ~ ( sk4 @ sk2 )
| ( sk4 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(4,plain,
~ ( sk4 @ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
sk4 @ sk2,
inference(cnf,[status(esa)],[3]) ).
thf(15,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[13,4,5]) ).
thf(16,plain,
$false,
inference(simp,[status(thm)],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEV131^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13 % Command : run_Leo-III %s %d SAT
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:23:25 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.07/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.12 % [INFO] Parsing done (129ms).
% 1.36/1.13 % [INFO] Running in sequential loop mode.
% 1.82/1.44 % [INFO] nitpick registered as external prover.
% 1.82/1.45 % [INFO] Scanning for conjecture ...
% 1.90/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.05/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.05/1.53 % [INFO] Problem is higher-order (TPTP THF).
% 2.05/1.53 % [INFO] Type checking passed.
% 2.05/1.54 % [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 ...
% 2.82/1.97 % [INFO] Killing All external provers ...
% 2.82/1.98 % Time passed: 1418ms (effective reasoning time: 834ms)
% 2.82/1.98 % 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)>
% 2.82/1.98 % Axioms used in derivation (0):
% 2.82/1.98 % No. of inferences in proof: 11
% 2.82/1.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1418 ms resp. 834 ms w/o parsing
% 3.14/2.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.14/2.05 % [INFO] Killing All external provers ...
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