%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU844^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n005.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 08:29:27 AM UTC 2026
% Result : Theorem 3.26s 1.84s
% Output : Refutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 36 ( 9 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 61 ( 10 ~; 5 |; 7 &; 28 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 21 !; 0 ?; 23 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cS_decl,type,
cS: a > $o ).
thf(cT_decl,type,
cT: a > $o ).
thf(sk1_decl,type,
sk1: a ).
thf(sk2_decl,type,
sk2: a ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a] :
~ ( ( cS @ A )
=> ( cT @ A ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a] :
~ ( ( cT @ A )
=> ( cS @ A ) ) ) ) ).
thf(1,conjecture,
( ! [A: a > $o,B: a > $o] : ( A = B )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
& ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM8_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > $o,B: a > $o] : ( A = B )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
& ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a > $o,B: a > $o] : ( A = B )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
& ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [B: a > $o,A: a > $o] :
( ( A = B )
& ( ( cS @ sk1 )
| ( cT @ sk2 ) )
& ( ( cS @ sk1 )
| ~ ( cS @ sk2 ) )
& ( ~ ( cT @ sk1 )
| ( cT @ sk2 ) )
& ( ~ ( cT @ sk1 )
| ~ ( cS @ sk2 ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ~ ( cT @ sk1 )
| ~ ( cS @ sk2 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
! [B: a > $o,A: a > $o] : ( A = B ),
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
! [B: a > $o,A: a > $o] : ( A = B ),
inference(lifteq,[status(thm)],[6]) ).
thf(11,plain,
! [C: a,B: a > $o,A: a > $o] :
( ( A @ C )
= ( B @ C ) ),
inference(func_ext,[status(esa)],[10]) ).
thf(14,plain,
$false,
inference(simplifyReflect,[status(thm)],[5,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU844^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.22 % Computer : n005.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 14:39:31 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.68/0.54 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/0.71 % [INFO] Parsing done (164ms).
% 1.08/0.72 % [INFO] Running in sequential loop mode.
% 1.75/1.13 % [INFO] eprover registered as external prover.
% 1.75/1.14 % [INFO] Scanning for conjecture ...
% 1.88/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.27 % [INFO] Type checking passed.
% 1.88/1.28 % [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 ...
% 3.26/1.83 % [INFO] Killing All external provers ...
% 3.26/1.84 % Time passed: 1524ms (effective reasoning time: 1105ms)
% 3.26/1.84 % 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)>
% 3.26/1.84 % Axioms used in derivation (0):
% 3.26/1.84 % No. of inferences in proof: 9
% 3.26/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1524 ms resp. 1105 ms w/o parsing
% 3.26/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.26/1.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------