TSTP Solution File: HEN002-5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 May 20 21:34:04 EDT 2024
% Result : Unsatisfiable 2.63s 1.52s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 19 ( 5 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(divide_type,type,
divide: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(a_type,type,
a: $i ).
thf(1,negated_conjecture,
( ( divide @ zero @ a )
!= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_divide_anything_is_zero) ).
thf(7,plain,
( ( divide @ zero @ a )
!= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,plain,
( ( divide @ zero @ a )
!= zero ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( divide @ zero @ a )
!= zero ),
inference(lifteq,[status(thm)],[8]) ).
thf(4,axiom,
! [A: $i] :
( ( divide @ zero @ A )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
thf(14,plain,
! [A: $i] :
( ( divide @ zero @ A )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,plain,
! [A: $i] :
( ( divide @ zero @ A )
= zero ),
inference(lifteq,[status(thm)],[14]) ).
thf(21,plain,
zero != zero,
inference(rewrite,[status(thm)],[9,15]) ).
thf(22,plain,
$false,
inference(simp,[status(thm)],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 22:51:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.93 % [INFO] Parsing done (91ms).
% 1.22/0.94 % [INFO] Running in sequential loop mode.
% 1.51/1.14 % [INFO] eprover registered as external prover.
% 1.51/1.14 % [INFO] cvc4 registered as external prover.
% 1.51/1.14 % [INFO] Scanning for conjecture ...
% 1.77/1.19 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.77/1.20 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.77/1.21 % [INFO] Problem is propositional (TPTP CNF).
% 1.77/1.21 % [INFO] Type checking passed.
% 1.77/1.22 % [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 ...
% 2.63/1.48 % [INFO] Killing All external provers ...
% 2.63/1.52 % Time passed: 1013ms (effective reasoning time: 575ms)
% 2.63/1.52 % Axioms used in derivation (1): zero_is_smallest
% 2.63/1.52 % No. of inferences in proof: 9
% 2.63/1.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1013 ms resp. 575 ms w/o parsing
% 2.79/1.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.79/1.54 % [INFO] Killing All external provers ...
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