TSTP Solution File: SEU550^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU550^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 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 03:42:38 EDT 2024
% Result : Theorem 2.38s 1.48s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 6 unt; 3 typ; 1 def)
% Number of atoms : 51 ( 27 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 67 ( 7 ~; 2 |; 9 &; 34 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 1 ^ 26 !; 9 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf(exu_def,definition,
( exu
= ( ^ [A: $i > $o] :
? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > $o ).
thf(sk2_type,type,
sk2: $i > $o ).
thf(1,conjecture,
! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ( exu @ A )
= ( exu @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu__Cong) ).
thf(2,negated_conjecture,
~ ! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ( exu @ A )
= ( exu @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $o,B: $i > $o] :
( ! [C: $i,D: $i] :
( ( C = D )
=> ( ( A @ C )
= ( B @ D ) ) )
=> ( ( ? [C: $i] :
( ( A @ C )
& ! [D: $i] :
( ( A @ D )
=> ( C = D ) ) ) )
= ( ? [C: $i] :
( ( B @ C )
& ! [D: $i] :
( ( B @ D )
=> ( C = D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [A: $i] :
( ( sk1 @ A )
& ! [B: $i] :
( ( sk1 @ B )
=> ( A = B ) ) ) )
!= ( ? [A: $i] :
( ( sk2 @ A )
& ! [B: $i] :
( ( sk2 @ B )
=> ( A = B ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( ? [A: $i] :
( ( sk2 @ A )
& ! [B: $i] :
( ( sk2 @ B )
=> ( A = B ) ) ) )
!= ( ? [A: $i] :
( ( sk1 @ A )
& ! [B: $i] :
( ( sk1 @ B )
=> ( A = B ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(5,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( ( sk1 @ A )
= ( sk2 @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( ( sk1 @ A )
= ( sk2 @ B ) ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(8,plain,
! [A: $i] :
( ( sk2 @ A )
= ( sk1 @ A ) ),
inference(simp,[status(thm)],[7]) ).
thf(11,plain,
( ( ? [A: $i] :
( ( sk1 @ A )
& ! [B: $i] :
( ( sk1 @ B )
=> ( A = B ) ) ) )
!= ( ? [A: $i] :
( ( sk1 @ A )
& ! [B: $i] :
( ( sk1 @ B )
=> ( A = B ) ) ) ) ),
inference(rewrite,[status(thm)],[6,8]) ).
thf(12,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU550^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 15:37:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.84/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.95 % [INFO] Parsing done (97ms).
% 1.17/0.96 % [INFO] Running in sequential loop mode.
% 1.44/1.16 % [INFO] nitpick registered as external prover.
% 1.44/1.16 % [INFO] Scanning for conjecture ...
% 1.70/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.82/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.82/1.24 % [INFO] Type checking passed.
% 1.82/1.24 % [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 ...
% 2.38/1.47 % [INFO] Killing All external provers ...
% 2.38/1.48 % Time passed: 950ms (effective reasoning time: 510ms)
% 2.38/1.48 % 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)>
% 2.38/1.48 % Axioms used in derivation (0):
% 2.38/1.48 % No. of inferences in proof: 10
% 2.38/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 950 ms resp. 510 ms w/o parsing
% 2.64/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.64/1.54 % [INFO] Killing All external provers ...
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