TSTP Solution File: SEU460^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU460^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 03:42:13 EDT 2024
% Result : Theorem 2.95s 1.79s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 8 unt; 6 typ; 2 def)
% Number of atoms : 33 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 84 ( 10 ~; 10 |; 0 &; 60 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 4 ^ 14 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_type,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(mono_def,definition,
( mono
= ( ^ [A: ( $i > $i > $o ) > $i > $i > $o] :
! [B: $i > $i > $o,C: $i > $i > $o] :
( ( subrel @ B @ C )
=> ( subrel @ ( A @ B ) @ ( A @ C ) ) ) ) ) ).
thf(sc_type,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(sc_def,definition,
( sc
= ( ^ [A: $i > $i > $o,B: $i,C: $i] :
( ( A @ C @ B )
| ( A @ B @ C ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
mono @ sc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure_op_is_monotonic) ).
thf(2,negated_conjecture,
~ ( mono @ sc ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i > $o,B: $i > $i > $o] :
( ! [C: $i,D: $i] :
( ( A @ C @ D )
=> ( B @ C @ D ) )
=> ! [C: $i,D: $i] :
( ( ( A @ D @ C )
| ( A @ C @ D ) )
=> ( ( B @ D @ C )
| ( B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ A @ B )
| ( sk2 @ A @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk2 @ sk3 @ sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ A @ B )
| ( ( sk2 @ A @ B )
!= ( sk2 @ sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7,4]) ).
thf(27,plain,
~ ( sk1 @ sk3 @ sk4 ),
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(6,plain,
( ( sk1 @ sk4 @ sk3 )
| ( sk1 @ sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( sk1 @ sk3 @ sk4 )
| ( sk2 @ A @ B )
| ( ( sk1 @ sk4 @ sk3 )
!= ( sk1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6,7]) ).
thf(23,plain,
( ( sk1 @ sk3 @ sk4 )
| ( sk2 @ sk4 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[22:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(5,plain,
~ ( sk2 @ sk4 @ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(28,plain,
( ( sk1 @ sk3 @ sk4 )
| $false ),
inference(rewrite,[status(thm)],[23,5]) ).
thf(29,plain,
sk1 @ sk3 @ sk4,
inference(simp,[status(thm)],[28]) ).
thf(37,plain,
~ $true,
inference(rewrite,[status(thm)],[27,29]) ).
thf(38,plain,
$false,
inference(simp,[status(thm)],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU460^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 15:41:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.80/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.94 % [INFO] Parsing done (157ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] nitpick registered as external prover.
% 1.72/1.23 % [INFO] Scanning for conjecture ...
% 1.91/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.91/1.37 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.91/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.10/1.37 % [INFO] Type checking passed.
% 2.10/1.37 % [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 ...
% 2.95/1.79 % [INFO] Killing All external provers ...
% 2.95/1.79 % Time passed: 1333ms (effective reasoning time: 828ms)
% 2.95/1.79 % 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)>
% 2.95/1.79 % Axioms used in derivation (0):
% 2.95/1.79 % No. of inferences in proof: 15
% 2.95/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1333 ms resp. 828 ms w/o parsing
% 3.01/1.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.82 % [INFO] Killing All external provers ...
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