TSTP Solution File: SYN000_1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SYN000_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n001.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 19:45:36 EDT 2024
% Result : Theorem 3.34s 1.79s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 3 ~; 0 |; 0 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 ^ 1 !; 3 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(h_type,type,
h: $i ).
thf(p_type,type,
p: $i > $o ).
thf(new_type,type,
new: $tType ).
thf(14,axiom,
p @ h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_hypothesis) ).
thf(54,plain,
p @ h,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,conjecture,
? [A: $i] : ( p @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_conjecture) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( p @ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ? [A: $i] : ( p @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
! [A: $i] :
~ ( p @ A ),
inference(cnf,[status(esa)],[15]) ).
thf(55,plain,
$false,
inference(rewrite,[status(thm)],[54,16]) ).
thf(56,plain,
$false,
inference(simp,[status(thm)],[55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN000_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jun 24 00:06:55 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.95/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.00 % [INFO] Parsing done (120ms).
% 1.35/1.01 % [INFO] Running in sequential loop mode.
% 1.68/1.22 % [INFO] eprover registered as external prover.
% 1.68/1.23 % [INFO] Scanning for conjecture ...
% 1.95/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 1.95/1.31 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 1.95/1.33 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.95/1.33 % [INFO] Type checking passed.
% 1.95/1.34 % [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 ...
% 3.34/1.79 % [INFO] Killing All external provers ...
% 3.34/1.79 % Time passed: 1255ms (effective reasoning time: 777ms)
% 3.34/1.79 % 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)>
% 3.34/1.79 % Axioms used in derivation (1): role_hypothesis
% 3.34/1.79 % No. of inferences in proof: 8
% 3.34/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1255 ms resp. 777 ms w/o parsing
% 3.34/1.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.34/1.81 % [INFO] Killing All external provers ...
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