TSTP Solution File: SEU472^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU472^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 03:42:15 EDT 2024
% Result : Theorem 3.45s 1.75s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 6 typ; 2 def)
% Number of atoms : 27 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 77 ( 6 ~; 6 |; 4 &; 54 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 2 ^ 22 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(infl_type,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(infl_def,definition,
( infl
= ( ^ [A: ( $i > $i > $o ) > $i > $i > $o] :
! [B: $i > $i > $o] : ( subrel @ B @ ( A @ B ) ) ) ) ).
thf(trsc_type,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(trsc_def,definition,
( trsc
= ( ^ [A: $i > $i > $o] : ( sc @ ( rc @ ( tc @ A ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk5_type,type,
sk5: $i > $i > $o ).
thf(1,conjecture,
infl @ trsc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure_op_is_inflationary) ).
thf(2,negated_conjecture,
~ ( infl @ trsc ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i > $o,B: $i,C: $i] :
( ( A @ B @ C )
=> ( ( C = B )
| ! [D: $i > $i > $o] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( D @ E @ F )
& ( D @ F @ G ) )
=> ( D @ E @ G ) )
& ! [E: $i,F: $i] :
( ( A @ E @ F )
=> ( D @ E @ F ) ) )
=> ( D @ C @ B ) )
| ( B = C )
| ! [D: $i > $i > $o] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( D @ E @ F )
& ( D @ F @ G ) )
=> ( D @ E @ G ) )
& ! [E: $i,F: $i] :
( ( A @ E @ F )
=> ( D @ E @ F ) ) )
=> ( D @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
sk1 @ sk2 @ sk3,
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ A @ B )
| ( sk5 @ A @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ A @ B )
| ( sk5 @ A @ B ) ),
inference(simp,[status(thm)],[11]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( sk5 @ A @ B )
| ( ( sk1 @ sk2 @ sk3 )
!= ( sk1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5,16]) ).
thf(50,plain,
sk5 @ sk2 @ sk3,
inference(pattern_uni,[status(thm)],[49:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(7,plain,
~ ( sk5 @ sk2 @ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(53,plain,
$false,
inference(rewrite,[status(thm)],[50,7]) ).
thf(54,plain,
$false,
inference(simp,[status(thm)],[53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU472^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 18:09:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.38/1.00 % [INFO] Parsing done (132ms).
% 1.38/1.01 % [INFO] Running in sequential loop mode.
% 1.74/1.20 % [INFO] nitpick registered as external prover.
% 1.74/1.21 % [INFO] Scanning for conjecture ...
% 2.11/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.11/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.11/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 2.11/1.32 % [INFO] Type checking passed.
% 2.11/1.32 % [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 ...
% 3.45/1.75 % [INFO] Killing All external provers ...
% 3.45/1.75 % Time passed: 1218ms (effective reasoning time: 739ms)
% 3.45/1.75 % 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)>
% 3.45/1.75 % Axioms used in derivation (0):
% 3.45/1.75 % No. of inferences in proof: 11
% 3.45/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1218 ms resp. 739 ms w/o parsing
% 3.45/1.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.45/1.78 % [INFO] Killing All external provers ...
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