%------------------------------------------------------------------------------
% 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/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 : n026.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 08:06:19 AM UTC 2026
% Result : Theorem 2.74s 1.82s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 22 ( 6 ~; 0 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $tType ).
thf(c_2Ecardinal_2Ecardleq_decl,type,
c_2Ecardinal_2Ecardleq:
!>[TA: $tType,TB: $tType] : ( ( TB > $o ) > ( TA > $o ) > $o ) ).
thf(1,conjecture,
! [TA: $tType,TB: $tType,A: TB > $o,B: TA > $o] :
( ( ~ ( c_2Ecardinal_2Ecardleq @ TB @ TA @ A @ B ) )
= ( ~ ( c_2Ecardinal_2Ecardleq @ TB @ TA @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
thf(2,negated_conjecture,
~ ! [TA: $tType,TB: $tType,A: TB > $o,B: TA > $o] :
( ( ~ ( c_2Ecardinal_2Ecardleq @ TB @ TA @ A @ B ) )
= ( ~ ( c_2Ecardinal_2Ecardleq @ TB @ TA @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
$false,
inference(simp,[status(thm)],[4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP010^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % 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
% 0.09/0.22 % Computer : n026.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 19:27:57 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 1.01/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.03 % [INFO] Parsing done (222ms).
% 1.47/1.04 % [INFO] Running in sequential loop mode.
% 2.00/1.44 % [INFO] eprover registered as external prover.
% 2.00/1.45 % [INFO] Scanning for conjecture ...
% 2.20/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 22 axioms. Running axiom selection ...
% 2.36/1.62 % [INFO] Axiom selection finished. Selected 1 axioms (removed 21 axioms).
% 2.36/1.62 % [INFO] Problem is higher-order (TPTP THF).
% 2.36/1.63 % [INFO] Type checking passed.
% 2.36/1.63 % [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 ...
% 2.74/1.81 % [INFO] Killing All external provers ...
% 2.74/1.81 % Time passed: 1445ms (effective reasoning time: 761ms)
% 2.74/1.81 % 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)>
% 2.74/1.82 % Axioms used in derivation (0):
% 2.74/1.82 % No. of inferences in proof: 4
% 2.74/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1445 ms resp. 761 ms w/o parsing
% 2.74/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.74/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------