TSTP Solution File: COM182^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : COM182^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 7 10:28:21 EDT 2024
% Result : Theorem 20.11s 4.78s
% Output : Refutation 20.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 24 ( 2 ~; 0 |; 0 &; 22 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 1 ( 0 ^ 0 !; 0 ?; 1 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(dtree_type,type,
dtree: $tType ).
thf(t_type,type,
t: $tType ).
thf(n_type,type,
n: $tType ).
thf(root_type,type,
root: dtree > n ).
thf(member_type,type,
member:
!>[TA: $tType] : ( TA > ( set @ TA ) > $o ) ).
thf(nsa_type,type,
nsa: set @ n ).
thf(tra_type,type,
tra: dtree ).
thf(266,axiom,
member @ n @ ( root @ tra ) @ nsa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(1246,plain,
member @ n @ ( root @ tra ) @ nsa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(1,conjecture,
member @ n @ ( root @ tra ) @ nsa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(2,negated_conjecture,
~ ( member @ n @ ( root @ tra ) @ nsa ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(272,plain,
~ ( member @ n @ ( root @ tra ) @ nsa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1645,plain,
$false,
inference(rewrite,[status(thm)],[1246,272]) ).
thf(1646,plain,
$false,
inference(simp,[status(thm)],[1645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM182^1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n028.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 : Tue May 7 00:53:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.73/1.11 % [INFO] Parsing done (265ms).
% 1.95/1.12 % [INFO] Running in sequential loop mode.
% 2.49/1.33 % [INFO] nitpick registered as external prover.
% 2.61/1.34 % [INFO] Scanning for conjecture ...
% 2.83/1.44 % [INFO] Found a conjecture and 275 axioms. Running axiom selection ...
% 2.91/1.53 % [INFO] Axiom selection finished. Selected 269 axioms (removed 6 axioms).
% 3.74/1.74 % [INFO] Problem is higher-order (TPTP THF).
% 3.98/1.75 % [INFO] Type checking passed.
% 3.98/1.76 % [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 ...
% 7.17/2.55 % [INFO] [Domain constraints] Detected constraint on $o
% 7.17/2.56 % [INFO] [Domain constraints] dom($o) ⊆ {$true}
% 20.11/4.78 % [INFO] Killing All external provers ...
% 20.11/4.78 % Time passed: 4253ms (effective reasoning time: 3652ms)
% 20.11/4.78 % 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)>
% 20.11/4.78 % Axioms used in derivation (1): conj_0
% 20.11/4.78 % No. of inferences in proof: 7
% 20.11/4.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4253 ms resp. 3652 ms w/o parsing
% 20.11/4.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.11/4.81 % [INFO] Killing All external provers ...
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