%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COM195^1 : TPTP v9.3.1. Released v7.0.0.
% 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 : n008.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 07:46:20 AM UTC 2026
% Result : Theorem 8.51s 2.64s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 2 ~; 0 |; 3 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(gram_L608943123e_subs_decl,type,
gram_L608943123e_subs:
!>[TA: $tType] : ( ( set @ ( set @ TA ) ) > ( set @ ( set @ TA ) ) > $o ) ).
thf(l1_decl,type,
l1: set @ ( set @ a ) ).
thf(l2_decl,type,
l2: set @ ( set @ a ) ).
thf(57,axiom,
( ( gram_L608943123e_subs @ a @ l1 @ l2 )
& ( gram_L608943123e_subs @ a @ l2 @ l1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(207,plain,
( ( gram_L608943123e_subs @ a @ l1 @ l2 )
& ( gram_L608943123e_subs @ a @ l2 @ l1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(208,plain,
( ( gram_L608943123e_subs @ a @ l1 @ l2 )
& ( gram_L608943123e_subs @ a @ l2 @ l1 ) ),
inference(cnf,[status(esa)],[207]) ).
thf(209,plain,
gram_L608943123e_subs @ a @ l1 @ l2,
inference(cnfConj,[status(thm)],[208]) ).
thf(1,conjecture,
gram_L608943123e_subs @ a @ l1 @ l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ( gram_L608943123e_subs @ a @ l1 @ l2 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(58,plain,
~ ( gram_L608943123e_subs @ a @ l1 @ l2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(211,plain,
$false,
inference(rewrite,[status(thm)],[209,58]) ).
thf(212,plain,
$false,
inference(simp,[status(thm)],[211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM195^1 : TPTP v9.3.1. Released v7.0.0.
% 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
% 0.10/0.20 % Computer : n008.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:51:39 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.89/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.41/1.21 % [INFO] Parsing done (428ms).
% 2.41/1.23 % [INFO] Running in sequential loop mode.
% 3.28/1.44 % [INFO] eprover registered as external prover.
% 3.28/1.45 % [INFO] Scanning for conjecture ...
% 3.76/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 276 axioms. Running axiom selection ...
% 4.06/1.60 % [INFO] Axiom selection finished. Selected 55 axioms (removed 221 axioms).
% 4.06/1.67 % [INFO] Problem is higher-order (TPTP THF).
% 4.06/1.68 % [INFO] Type checking passed.
% 4.06/1.69 % [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 ...
% 8.51/2.63 % [INFO] Killing All external provers ...
% 8.51/2.64 % Time passed: 2300ms (effective reasoning time: 1401ms)
% 8.51/2.64 % 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)>
% 8.51/2.64 % Axioms used in derivation (1): conj_0
% 8.51/2.64 % No. of inferences in proof: 9
% 8.51/2.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2300 ms resp. 1401 ms w/o parsing
% 8.51/2.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.51/2.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------