TSTP Solution File: SYO301^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO301^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 08:56:22 EDT 2024
% Result : Theorem 5.35s 2.52s
% Output : Refutation 5.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 19 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 75 ( 12 ~; 4 |; 3 &; 50 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 ^ 11 !; 6 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i ).
thf(cP_type,type,
cP: $i > $o ).
thf(b_type,type,
b: $i ).
thf(sk1_type,type,
sk1: ( $i > $o ) > $i > $i ).
thf(1,conjecture,
( ( cP @ ( f @ b ) )
=> ? [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ( cP @ C ) )
& ( B @ ( f @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE5) ).
thf(2,negated_conjecture,
~ ( ( cP @ ( f @ b ) )
=> ? [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ( cP @ C ) )
& ( B @ ( f @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( cP @ ( f @ b ) )
=> ? [A: $i,B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ( cP @ C ) )
& ( B @ ( f @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [B: $i > $o,A: $i] :
( ( B @ ( sk1 @ B @ A ) )
| ~ ( B @ ( f @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
cP @ ( f @ b ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [B: $i > $o,A: $i] :
( ~ ( cP @ ( sk1 @ B @ A ) )
| ~ ( B @ ( f @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [B: $i > $o,A: $i] :
( ~ ( cP @ ( sk1 @ B @ A ) )
| ( ( cP @ ( f @ b ) )
!= ( B @ ( f @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[6,5]) ).
thf(18,plain,
~ ( cP @ ( sk1 @ cP @ b ) ),
inference(pre_uni,[status(thm)],[8:[bind(A,$thf( b )),bind(B,$thf( cP ))]]) ).
thf(87,plain,
! [B: $i > $o,A: $i] :
( ~ ( B @ ( f @ A ) )
| ( ( B @ ( sk1 @ B @ A ) )
!= ( cP @ ( sk1 @ cP @ b ) ) ) ),
inference(paramod_ordered,[status(thm)],[4,18]) ).
thf(112,plain,
~ ( cP @ ( f @ b ) ),
inference(pre_uni,[status(thm)],[87:[bind(A,$thf( b )),bind(B,$thf( cP ))]]) ).
thf(137,plain,
~ $true,
inference(rewrite,[status(thm)],[112,6]) ).
thf(138,plain,
$false,
inference(simp,[status(thm)],[137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO301^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n009.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 10:55:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (113ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.69/1.25 % [INFO] eprover registered as external prover.
% 1.69/1.25 % [INFO] cvc4 registered as external prover.
% 1.69/1.26 % [INFO] Scanning for conjecture ...
% 1.83/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.37 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.37 % [INFO] Type checking passed.
% 1.99/1.38 % [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 ...
% 5.35/2.52 % [INFO] Killing All external provers ...
% 5.35/2.52 % Time passed: 2056ms (effective reasoning time: 1547ms)
% 5.35/2.52 % 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)>
% 5.35/2.52 % Axioms used in derivation (0):
% 5.35/2.52 % No. of inferences in proof: 12
% 5.35/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2056 ms resp. 1547 ms w/o parsing
% 5.38/2.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.38/2.56 % [INFO] Killing All external provers ...
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