%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SCT229_5 : TPTP v9.3.1. Released v6.0.0.
% 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 : n002.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 08:27:35 AM UTC 2026
% Result : Theorem 105.51s 84.66s
% Output : Refutation 105.51s
% 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 : 3 ( 3 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(arrow_411405190le_alt_type,type,
arrow_411405190le_alt: $tType ).
thf(arrow_159774573e_indi_type,type,
arrow_159774573e_indi: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(a_decl,type,
a: arrow_411405190le_alt ).
thf(b_decl,type,
b: arrow_411405190le_alt ).
thf(98,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_A_I1_J) ).
thf(614,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(615,plain,
a != b,
inference(polarity_switch,[status(thm)],[614]) ).
thf(616,plain,
b != a,
inference(lifteq,[status(thm)],[615]) ).
thf(1,conjecture,
b != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
thf(2,negated_conjecture,
~ ( ( b != a ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(100,plain,
~ ( ( b != a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(101,plain,
b = a,
inference(polarity_switch,[status(thm)],[100]) ).
thf(102,plain,
b = a,
inference(lifteq,[status(thm)],[101]) ).
thf(620,plain,
a != a,
inference(rewrite,[status(thm)],[616,102]) ).
thf(621,plain,
$false,
inference(simp,[status(thm)],[620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT229_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.07 % 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
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 06:46:21 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.87/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.89/1.35 % [INFO] Parsing done (354ms).
% 1.89/1.37 % [INFO] Running in sequential loop mode.
% 2.78/1.77 % [INFO] eprover registered as external prover.
% 2.78/1.78 % [INFO] Scanning for conjecture ...
% 3.22/1.95 % [INFO] Found a conjecture (or negated_conjecture) and 106 axioms. Running axiom selection ...
% 3.57/2.08 % [INFO] Axiom selection finished. Selected 97 axioms (removed 9 axioms).
% 5.04/2.40 % [INFO] Problem is typed first-order (TPTP TFF).
% 5.04/2.44 % [INFO] Type checking passed.
% 5.04/2.44 % [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 ...
% 105.51/84.65 % [INFO] Killing All external provers ...
% 105.51/84.65 % Time passed: 84095ms (effective reasoning time: 83273ms)
% 105.51/84.65 % 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)>
% 105.51/84.66 % Axioms used in derivation (1): fact_2_A_I1_J
% 105.51/84.66 % No. of inferences in proof: 11
% 105.51/84.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 84095 ms resp. 83273 ms w/o parsing
% 105.51/84.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 105.51/84.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------