TSTP Solution File: SEV272^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV272^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n019.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 : Mon Jun 24 15:59:54 EDT 2024
% Result : Theorem 2.16s 1.46s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 34 ( 2 ~; 0 |; 4 &; 20 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 4 ^ 8 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
( ( ^ [A: ( $i > $o ) > $o] :
! [B: ( ( $i > $o ) > $o ) > $o] :
( ( ( B @ cZERO )
& ! [C: ( $i > $o ) > $o] :
( ( B @ C )
=> ( B @ ( cSUCC @ C ) ) ) )
=> ( B @ A ) ) )
= ( ^ [A: ( $i > $o ) > $o] :
! [B: ( ( $i > $o ) > $o ) > $o] :
( ( ( B @ cZERO )
& ! [C: ( $i > $o ) > $o] :
( ( B @ C )
=> ( B @ ( cSUCC @ C ) ) ) )
=> ( B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6007A_pme) ).
thf(2,negated_conjecture,
( ( ^ [A: ( $i > $o ) > $o] :
! [B: ( ( $i > $o ) > $o ) > $o] :
( ( ( B @ cZERO )
& ! [C: ( $i > $o ) > $o] :
( ( B @ C )
=> ( B @ ( cSUCC @ C ) ) ) )
=> ( B @ A ) ) )
!= ( ^ [A: ( $i > $o ) > $o] :
! [B: ( ( $i > $o ) > $o ) > $o] :
( ( ( B @ cZERO )
& ! [C: ( $i > $o ) > $o] :
( ( B @ C )
=> ( B @ ( cSUCC @ C ) ) ) )
=> ( B @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEV272^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.13/0.14 % Command : run_Leo-III %s %d SAT
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 19:33:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.06/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.05 % [INFO] Parsing done (115ms).
% 1.26/1.06 % [INFO] Running in sequential loop mode.
% 1.70/1.27 % [INFO] nitpick registered as external prover.
% 1.70/1.27 % [INFO] Scanning for conjecture ...
% 1.97/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.97/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.97/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.35 % [INFO] Type checking passed.
% 1.97/1.36 % [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 ...
% 2.16/1.45 % [INFO] Killing All external provers ...
% 2.16/1.46 % Time passed: 889ms (effective reasoning time: 390ms)
% 2.16/1.46 % 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)>
% 2.16/1.46 % Axioms used in derivation (0):
% 2.16/1.46 % No. of inferences in proof: 4
% 2.16/1.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 889 ms resp. 390 ms w/o parsing
% 2.31/1.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.31/1.49 % [INFO] Killing All external provers ...
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