%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU801^2 : TPTP v9.3.1. Released v3.7.0.
% 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 : Wed Sep 30 08:29:21 AM UTC 2026
% Result : Theorem 4.27s 2.29s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 3 def)
% Number of atoms : 25 ( 5 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 74 ( 2 ~; 0 |; 2 &; 60 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 25 ( 6 ^; 17 !; 2 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_decl,type,
in: $i > $i > $o ).
thf(dsetconstr_decl,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrEL_decl,type,
dsetconstrEL: $o ).
thf(funcSet_decl,type,
funcSet: $i > $i > $i ).
thf(ap_decl,type,
ap: $i > $i > $i > $i > $i ).
thf(surjective_decl,type,
surjective: $i > $i > $i > $o ).
thf(surjFuncSet_decl,type,
surjFuncSet: $i > $i > $i ).
thf(dsetconstrEL_def,definition,
( dsetconstrEL
= ( ! [A: $i,B: $i > $o,C: $i] :
( ( in @ C @ ( dsetconstr @ A @ B ) )
=> ( in @ C @ A ) ) ) ) ).
thf(surjective_def,definition,
( surjective
= ( ^ [A: $i,B: $i,C: $i] :
! [D: $i] :
( ( in @ D @ B )
=> ? [E: $i] :
( ( in @ E @ A )
& ( ( ap @ A @ B @ C @ E )
= D ) ) ) ) ) ).
thf(surjFuncSet_def,definition,
( surjFuncSet
= ( ^ [A: $i,B: $i] : ( dsetconstr @ ( funcSet @ A @ B ) @ ( surjective @ A @ B ) ) ) ) ).
thf(1,conjecture,
( dsetconstrEL
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( surjFuncSet @ A @ B ) )
=> ( in @ C @ ( funcSet @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjFuncSetFuncIn) ).
thf(2,negated_conjecture,
~ ( dsetconstrEL
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( surjFuncSet @ A @ B ) )
=> ( in @ C @ ( funcSet @ A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i > $o,C: $i] :
( ( in @ C @ ( dsetconstr @ A @ B ) )
=> ( in @ C @ A ) )
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C
@ ( dsetconstr @ ( funcSet @ A @ B )
@ ^ [D: $i] :
! [E: $i] :
( ( in @ E @ B )
=> ? [F: $i] :
( ( in @ F @ A )
& ( ( ap @ A @ B @ D @ F )
= E ) ) ) ) )
=> ( in @ C @ ( funcSet @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU801^2 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:33:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.90/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.95 % [INFO] Parsing done (194ms).
% 1.25/0.97 % [INFO] Running in sequential loop mode.
% 1.92/1.37 % [INFO] eprover registered as external prover.
% 1.92/1.38 % [INFO] Scanning for conjecture ...
% 2.30/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.30/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.30/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.30/1.54 % [INFO] Type checking passed.
% 2.30/1.54 % [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 ...
% 4.27/2.28 % External prover 'e' found a proof!
% 4.27/2.28 % [INFO] Killing All external provers ...
% 4.27/2.28 % Time passed: 1959ms (effective reasoning time: 1310ms)
% 4.27/2.28 % 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)>
% 4.27/2.29 % Axioms used in derivation (0):
% 4.27/2.29 % No. of inferences in proof: 4
% 4.27/2.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1959 ms resp. 1310 ms w/o parsing
% 4.59/2.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.59/2.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------