%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO288^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : 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 08:45:32 AM UTC 2026
% Result : Theorem 3.69s 2.19s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 1 def)
% Number of atoms : 20 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 49 ( 5 ~; 0 |; 6 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 1 ^; 5 !; 3 ?; 10 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(cB_decl,type,
cB: $i > $i > $o ).
thf(cA_decl,type,
cA: $i > $o ).
thf(c0_decl,type,
c0: $i ).
thf(sk1_decl,type,
sk1: ( $i > $i > $o ) > $i ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: $i > $i > $o] :
@+[B: $i] :
( ( A @ B @ c0 )
!= ( ( cA @ B )
& ( cB @ B @ B ) ) ) ) ) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
! [B: $i] :
( ( A @ B @ c0 )
= ( ( cA @ B )
& ( cB @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSV10) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
! [B: $i] :
( ( A @ B @ c0 )
= ( ( cA @ B )
& ( cB @ B @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i > $i > $o] :
! [B: $i] :
( ( A @ B @ c0 )
= ( ( cA @ B )
& ( cB @ B @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: $i > $i > $o] :
( ( A @ ( sk1 @ A ) @ c0 )
!= ( ( cA @ ( sk1 @ A ) )
& ( cB @ ( sk1 @ A ) @ ( sk1 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i > $i > $o] :
( ( A @ ( sk1 @ A ) @ c0 )
!= ( ( cA @ ( sk1 @ A ) )
& ( cB @ ( sk1 @ A ) @ ( sk1 @ A ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
$false,
inference(pre_uni,[status(thm)],[5:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( ( cA @ B ) & ( cB @ B @ B ) ) ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO288^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.21 % Computer : n026.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 16:45:57 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.98 % [INFO] Parsing done (182ms).
% 1.24/0.99 % [INFO] Running in sequential loop mode.
% 1.84/1.39 % [INFO] eprover registered as external prover.
% 2.03/1.40 % [INFO] Scanning for conjecture ...
% 2.03/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.53 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.53 % [INFO] Type checking passed.
% 2.21/1.54 % [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 ...
% 3.69/2.18 % [INFO] Killing All external provers ...
% 3.69/2.19 % Time passed: 1831ms (effective reasoning time: 1188ms)
% 3.69/2.19 % 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)>
% 3.69/2.19 % Axioms used in derivation (0):
% 3.69/2.19 % No. of inferences in proof: 6
% 3.69/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1831 ms resp. 1188 ms w/o parsing
% 3.80/2.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/2.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------