%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP010_7 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n020.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 07:35:32 AM UTC 2026
% Result : Theorem 22.01s 7.80s
% Output : Refutation 22.01s
% 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 : 6 ( 5 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(tyop_2Emin_2Eind_type,type,
tyop_2Emin_2Eind: $tType ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: $tType ).
thf(tyop_2Eone_2Eone_type,type,
tyop_2Eone_2Eone: $tType ).
thf(tyop_2Estring_2Echar_type,type,
tyop_2Estring_2Echar: $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/sandbox/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(218,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(219,plain,
$false,
inference(simp,[status(thm)],[218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP010_7 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % 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
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Fri Sep 25 17:14:21 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.86/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 7.74/3.33 % [INFO] Parsing done (2347ms).
% 7.74/3.34 % [INFO] Running in sequential loop mode.
% 8.13/3.53 % [INFO] eprover registered as external prover.
% 8.13/3.53 % [INFO] Scanning for conjecture ...
% 12.63/4.61 % [INFO] Found a conjecture (or negated_conjecture) and 10763 axioms. Running axiom selection ...
% 14.20/5.36 % [INFO] Axiom selection finished. Selected 215 axioms (removed 10548 axioms).
% 14.95/5.60 % [INFO] Problem is typed first-order (TPTP TFF).
% 15.37/5.62 % [INFO] Type checking passed.
% 15.37/5.63 % [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 ...
% 21.62/7.80 % [INFO] Killing All external provers ...
% 22.01/7.80 % Time passed: 7253ms (effective reasoning time: 4450ms)
% 22.01/7.80 % 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)>
% 22.01/7.80 % Axioms used in derivation (0):
% 22.01/7.80 % No. of inferences in proof: 4
% 22.01/7.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7253 ms resp. 4450 ms w/o parsing
% 22.01/7.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.01/7.85 % [INFO] Killing All external provers ...
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