TSTP Solution File: ITP001+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 07:46:26 EDT 2024
% Result : Theorem 4.50s 2.15s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 2 ~; 0 |; 0 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $o ).
thf(s_type,type,
s: $i > $i > $i ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $i ).
thf(c_2Ebool_2ET_2E0_type,type,
c_2Ebool_2ET_2E0: $i ).
thf(13,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(74,plain,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,conjecture,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(26,plain,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(134,plain,
$false,
inference(rewrite,[status(thm)],[74,26]) ).
thf(135,plain,
$false,
inference(simp,[status(thm)],[134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n004.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 14:28:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/1.01 % [INFO] Parsing done (136ms).
% 1.39/1.02 % [INFO] Running in sequential loop mode.
% 1.99/1.26 % [INFO] eprover registered as external prover.
% 1.99/1.26 % [INFO] cvc4 registered as external prover.
% 1.99/1.27 % [INFO] Scanning for conjecture ...
% 2.14/1.34 % [INFO] Found a conjecture and 23 axioms. Running axiom selection ...
% 2.28/1.39 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.58/1.45 % [INFO] Problem is first-order (TPTP FOF).
% 2.58/1.46 % [INFO] Type checking passed.
% 2.58/1.46 % [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 ...
% 4.50/2.15 % [INFO] Killing All external provers ...
% 4.50/2.15 % Time passed: 1602ms (effective reasoning time: 1119ms)
% 4.50/2.15 % 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)>
% 4.50/2.15 % Axioms used in derivation (1): reserved_2Eho_2Etruth
% 4.50/2.15 % No. of inferences in proof: 7
% 4.50/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1602 ms resp. 1119 ms w/o parsing
% 4.50/2.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.50/2.16 % [INFO] Killing All external provers ...
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