TSTP Solution File: SYO024^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO024^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 08:55:28 EDT 2024
% Result : Theorem 2.96s 1.68s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 4 typ; 1 def)
% Number of atoms : 34 ( 5 equ; 6 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 34 ~; 11 |; 9 &; 12 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 14 ^ 2 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(leibeq_type,type,
leibeq: ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).
thf(leibeq_def,definition,
( leibeq
= ( ^ [A: $o > $o > $o,B: $o > $o > $o] :
! [C: ( $o > $o > $o ) > $o] :
( ( C @ A )
=> ( C @ B ) ) ) ) ).
thf(sk1_type,type,
sk1: ( $o > $o > $o ) > $o ).
thf(sk2_type,type,
sk2: $o ).
thf(sk3_type,type,
sk3: $o ).
thf(1,conjecture,
( leibeq @ (&)
@ ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( leibeq @ (&)
@ ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( $o > $o > $o ) > $o] :
( ( A @ (&) )
=> ( A
@ ^ [B: $o,C: $o] :
~ ( ~ B
| ~ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
sk1 @ (&),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk1
@ ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( sk1 @ (&) )
!= ( sk1
@ ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(7,plain,
( (&)
!= ( ^ [A: $o,B: $o] :
~ ( ~ A
| ~ B ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(8,plain,
( ( sk2
& sk3 )
!= ( ~ ( ~ sk2
| ~ sk3 ) ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(10,plain,
( ( sk2
& sk3 )
| ~ ( ~ sk2
| ~ sk3 ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(14,plain,
( sk3
| sk3 ),
inference(cnf,[status(esa)],[10]) ).
thf(16,plain,
sk3,
inference(simp,[status(thm)],[14]) ).
thf(20,plain,
( ( sk2
& $true )
!= ( ~ ( ~ sk2
| ~ $true ) ) ),
inference(rewrite,[status(thm)],[8,16]) ).
thf(21,plain,
$false,
inference(simp,[status(thm)],[20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO024^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 10:06:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.96 % [INFO] Parsing done (96ms).
% 1.16/0.97 % [INFO] Running in sequential loop mode.
% 1.49/1.16 % [INFO] eprover registered as external prover.
% 1.49/1.17 % [INFO] cvc4 registered as external prover.
% 1.49/1.17 % [INFO] Scanning for conjecture ...
% 1.81/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.84/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.24 % [INFO] Type checking passed.
% 1.84/1.24 % [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 ...
% 2.96/1.68 % [INFO] Killing All external provers ...
% 2.96/1.68 % Time passed: 1156ms (effective reasoning time: 708ms)
% 2.96/1.68 % 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)>
% 2.96/1.68 % Axioms used in derivation (0):
% 2.96/1.68 % No. of inferences in proof: 13
% 2.96/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1156 ms resp. 708 ms w/o parsing
% 3.17/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.17/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------