%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO561_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n004.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 : Sun Sep 27 09:44:56 AM UTC 2026
% Result : Theorem 2.67s 2.10s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(company_type,type,
company: $tType ).
thf(apple_decl,type,
apple: company ).
thf(microsoft_decl,type,
microsoft: company ).
thf(3,axiom,
apple != microsoft,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_companies) ).
thf(7,plain,
apple != microsoft,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
apple != microsoft,
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
microsoft != apple,
inference(lifteq,[status(thm)],[8]) ).
thf(1,conjecture,
apple != microsoft,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apple_not_microsoft) ).
thf(2,negated_conjecture,
~ ( ( apple != microsoft ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( ( apple != microsoft ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
apple = microsoft,
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
microsoft = apple,
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
apple != apple,
inference(rewrite,[status(thm)],[9,6]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO561_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/0.42 % Computer : n004.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 19:29:21 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.83/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.16 % [INFO] Parsing done (158ms).
% 1.20/1.17 % [INFO] Running in sequential loop mode.
% 1.71/1.58 % [INFO] eprover registered as external prover.
% 1.71/1.59 % [INFO] Scanning for conjecture ...
% 1.89/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.89/1.70 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.04/1.71 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.04/1.72 % [INFO] Type checking passed.
% 2.04/1.72 % [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 ...
% 2.67/2.10 % [INFO] Killing All external provers ...
% 2.67/2.10 % Time passed: 1532ms (effective reasoning time: 920ms)
% 2.67/2.10 % 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)>
% 2.67/2.10 % Axioms used in derivation (1): distinct_companies
% 2.67/2.10 % No. of inferences in proof: 11
% 2.67/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1532 ms resp. 920 ms w/o parsing
% 2.91/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/2.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------