TSTP Solution File: SEU924^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU924^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 03:40:27 EDT 2024
% Result : Theorem 2.56s 1.62s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 12 ~; 6 |; 4 &; 26 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 21 ^ 21 !; 1 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
! [A: $i,B: $i > $i] :
( ! [C: ( $i > $i ) > $o] :
( ( ( C
@ ^ [D: $i] : A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : A ) ) )
=> ( C @ B ) )
=> ! [C: $i] :
( ( B @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM134_pme) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i > $i] :
( ! [C: ( $i > $i ) > $o] :
( ( ( C
@ ^ [D: $i] : A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : A ) ) )
=> ( C @ B ) )
=> ! [C: $i] :
( ( B @ C )
= A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i > $i] :
( ! [C: ( $i > $i ) > $o] :
( ( ( C
@ ^ [D: $i] : A )
& ! [D: $i > $i] :
( ( C @ D )
=> ( C
@ ^ [E: $i] : A ) ) )
=> ( C @ B ) )
=> ! [C: $i] :
( ( B @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: $i,B: $i > $i] :
( ! [C: ( $i > $i ) > $o] :
( ( ( C
@ ^ [D: $i] : A )
& ( ? [D: $i > $i] : ( C @ D )
=> ( C
@ ^ [D: $i] : A ) ) )
=> ( C @ B ) )
=> ! [C: $i] :
( ( B @ C )
= A ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
( ( sk2 @ sk4 )
!= sk1 ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
( ( sk2 @ sk4 )
!= sk1 ),
inference(lifteq,[status(thm)],[5]) ).
thf(6,plain,
! [A: ( $i > $i ) > $o] :
( ~ ( A
@ ^ [B: $i] : sk1 )
| ~ ( A
@ ^ [B: $i] : sk1 )
| ( A @ sk2 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(8,plain,
( ( ( ^ [A: $i] : sk1 )
!= ( ^ [A: $i] : sk1 ) )
| ( ( ^ [A: $i] : sk1 )
!= ( ^ [A: $i] : sk1 ) )
| ( ( ^ [A: $i] : sk1 )
= sk2 ) ),
inference(replace_leibeq,[status(thm)],[6:[bind(A,$thf( (=) @ ( $i > $i ) @ ^ [B: $i] : sk1 ))]]) ).
thf(14,plain,
( ( ( ^ [A: $i] : sk1 )
!= ( ^ [A: $i] : sk1 ) )
| ( ( ^ [A: $i] : sk1 )
!= ( ^ [A: $i] : sk1 ) )
| ( sk2
= ( ^ [A: $i] : sk1 ) ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(15,plain,
( sk2
= ( ^ [A: $i] : sk1 ) ),
inference(simp,[status(thm)],[14]) ).
thf(16,plain,
! [A: $i] :
( ( sk2 @ A )
= sk1 ),
inference(func_ext,[status(esa)],[15]) ).
thf(17,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[10,16]) ).
thf(18,plain,
$false,
inference(simp,[status(thm)],[17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU924^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 16:57:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.84/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.96 % [INFO] Parsing done (102ms).
% 1.17/0.97 % [INFO] Running in sequential loop mode.
% 1.47/1.18 % [INFO] eprover registered as external prover.
% 1.68/1.18 % [INFO] cvc4 registered as external prover.
% 1.68/1.19 % [INFO] Scanning for conjecture ...
% 1.82/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.82/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.26 % [INFO] Problem is higher-order (TPTP THF).
% 1.82/1.26 % [INFO] Type checking passed.
% 1.82/1.26 % [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 ...
% 2.56/1.62 % [INFO] Killing All external provers ...
% 2.56/1.62 % Time passed: 1089ms (effective reasoning time: 643ms)
% 2.56/1.62 % 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)>
% 2.56/1.62 % Axioms used in derivation (0):
% 2.56/1.62 % No. of inferences in proof: 13
% 2.56/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1089 ms resp. 643 ms w/o parsing
% 2.88/1.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/1.65 % [INFO] Killing All external provers ...
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