%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP010_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n007.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 07:35:31 AM UTC 2026
% Result : Theorem 4.45s 12.71s
% Output : Refutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 6 ~; 0 |; 0 &; 28 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $tType ).
thf(p_decl,type,
p: tyop_2Emin_2Ebool > $o ).
thf(c_2Ecardinal_2Ecardleq_2E2_decl,type,
c_2Ecardinal_2Ecardleq_2E2:
!>[TA: $tType,TB: $tType] : ( ( tyop_2Emin_2Ebool @ ( TB @ tyop_2Emin_2Efun ) ) > ( tyop_2Emin_2Ebool @ ( TA @ tyop_2Emin_2Efun ) ) > tyop_2Emin_2Ebool ) ).
thf(1,conjecture,
! [TA: $tType,TB: $tType,A: tyop_2Emin_2Ebool @ ( TB @ tyop_2Emin_2Efun ),B: tyop_2Emin_2Ebool @ ( TA @ tyop_2Emin_2Efun )] :
( ~ ( B @ ( A @ ( TA @ ( TB @ c_2Ecardinal_2Ecardleq_2E2 ) ) ) @ p )
<=> ~ ( B @ ( A @ ( TA @ ( TB @ c_2Ecardinal_2Ecardleq_2E2 ) ) ) @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
thf(2,negated_conjecture,
~ ! [TA: $tType,TB: $tType,A: tyop_2Emin_2Ebool @ ( TB @ tyop_2Emin_2Efun ),B: tyop_2Emin_2Ebool @ ( TA @ tyop_2Emin_2Efun )] :
( ~ ( B @ ( A @ ( TA @ ( TB @ c_2Ecardinal_2Ecardleq_2E2 ) ) ) @ p )
<=> ~ ( B @ ( A @ ( TA @ ( TB @ c_2Ecardinal_2Ecardleq_2E2 ) ) ) @ p ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,plain,
$false,
inference(simp,[status(thm)],[42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP010_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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
% 0.13/10.41 % Computer : n007.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.41 % CPULimit : 300
% 0.13/10.41 % WCLimit : 300
% 0.13/10.41 % DateTime : Fri Sep 25 17:11:03 UTC 2026
% 0.13/10.41 % CPUTime :
% 0.13/10.41 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
% 0.17/11.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/11.25 % [INFO] Parsing done (240ms).
% 1.32/11.26 % [INFO] Running in sequential loop mode.
% 2.05/11.65 % [INFO] eprover registered as external prover.
% 2.05/11.66 % [INFO] Scanning for conjecture ...
% 2.42/11.80 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.42/11.88 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.60/11.98 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.60/12.00 % [INFO] Type checking passed.
% 2.60/12.00 % [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 ...
% 3.27/12.20 % [INFO] [Domain constraints] Detected constraint on tyop_2Emin_2Ebool
% 3.27/12.20 % [INFO] [Domain constraints] dom(tyop_2Emin_2Ebool) ⊆ {c_2Ebool_2ET_2E0,c_2Ebool_2EF_2E0}
% 4.45/12.71 % [INFO] Killing All external provers ...
% 4.45/12.71 % Time passed: 2147ms (effective reasoning time: 1437ms)
% 4.45/12.71 % 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)>
% 4.45/12.71 % Axioms used in derivation (0):
% 4.45/12.71 % No. of inferences in proof: 4
% 4.45/12.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2147 ms resp. 1437 ms w/o parsing
% 4.45/12.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.45/12.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------