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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN915^4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:41:33 AM UTC 2026

% Result   : Theorem 2.95s 1.80s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN915^4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/0.20  % Computer : n011.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 16:19:31 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.21/1.02  % [INFO] 	 Parsing done (239ms). 
% 1.57/1.04  % [INFO] 	 Running in sequential loop mode. 
% 2.13/1.45  % [INFO] 	 eprover registered as external prover. 
% 2.13/1.45  % [INFO] 	 Scanning for conjecture ... 
% 2.35/1.58  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 2.56/1.61  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.56/1.61  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.56/1.62  % [INFO] 	 Type checking passed. 
% 2.56/1.62  % [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 ... 
% 2.95/1.80  % [INFO] 	 Killing All external provers ... 
% 2.95/1.80  % Time passed: 1454ms (effective reasoning time: 757ms)
% 2.95/1.80  % 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)>
% 2.95/1.80  % Axioms used in derivation (0): 
% 2.95/1.80  % No. of inferences in proof: 4
% 2.95/1.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1454 ms resp. 757 ms w/o parsing
% 2.95/1.85  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/1.85  thf(iatom_decl, type, iatom: (($i > $o) > ($i > $o))).
% 2.95/1.85  thf(itrue_decl, type, itrue: ($i > $o)).
% 2.95/1.85  thf(ivalid_decl, type, ivalid: (($i > $o) > $o)).
% 2.95/1.85  thf(iatom_def, definition, iatom = (^ [A:($i > $o)]: (A)) ).
% 2.95/1.85  thf(itrue_def, definition, itrue = (^ [A:$i]: (($true))) ).
% 2.95/1.85  thf(ivalid_def, definition, ivalid = ((!) @ $i) ).
% 2.95/1.85  thf(1,conjecture,((ivalid @ (iatom @ itrue))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth)).
% 2.95/1.85  thf(2,negated_conjecture,((~ (ivalid @ (iatom @ itrue)))),inference(neg_conjecture,[status(cth)],[1])).
% 2.95/1.85  thf(5,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 2.95/1.85  thf(6,plain,(($false)),inference(simp,[status(thm)],[5])).
% 2.95/1.85  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/1.85  % [INFO] 	 Killing All external provers ... 
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