%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO372^5 : 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 : n006.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 08:45:40 AM UTC 2026
% Result : Theorem 2.26s 1.18s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 36 ( 6 ~; 0 |; 1 &; 26 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(gtype_type,type,
gtype: $tType ).
thf(g_decl,type,
g: b > $o ).
thf(h_decl,type,
h: ( b > $o ) > gtype ).
thf(f_decl,type,
f: b > $o ).
thf(1,conjecture,
( ! [A: b] :
( ( f @ A )
= ( g @ A ) )
=> ( ( h @ f )
= ( h @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_SET2) ).
thf(2,negated_conjecture,
~ ( ! [A: b] :
( ( f @ A )
= ( g @ A ) )
=> ( ( h @ f )
= ( h @ g ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: b] :
( ( f @ A )
= ( g @ A ) )
=> ( ( h @ f )
= ( h @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: b] :
( ( ( f @ A )
= ( g @ A ) )
& ( ( h @ f )
!= ( h @ g ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( h @ f )
!= ( h @ g ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
( ( h @ f )
!= ( h @ g ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(5,plain,
! [A: b] :
( ( f @ A )
= ( g @ A ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
! [A: b] :
( ( f @ A )
= ( g @ A ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(13,plain,
( ( h @ g )
!= ( h @ g ) ),
inference(rewrite,[status(thm)],[8,7]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO372^5 : 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
% 0.11/0.23 % Computer : n006.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 16:49:09 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 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
% 0.63/0.53 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.84/0.62 % [INFO] Parsing done (90ms).
% 1.00/0.63 % [INFO] Running in sequential loop mode.
% 1.32/0.81 % [INFO] eprover registered as external prover.
% 1.32/0.82 % [INFO] Scanning for conjecture ...
% 1.32/0.86 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.32/0.88 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.32/0.88 % [INFO] Problem is higher-order (TPTP THF).
% 1.32/0.88 % [INFO] Type checking passed.
% 1.32/0.88 % [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 ...
% 2.26/1.18 % [INFO] Killing All external provers ...
% 2.26/1.18 % Time passed: 854ms (effective reasoning time: 547ms)
% 2.26/1.18 % 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)>
% 2.26/1.18 % Axioms used in derivation (0):
% 2.26/1.18 % No. of inferences in proof: 10
% 2.26/1.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 854 ms resp. 547 ms w/o parsing
% 2.53/1.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/1.20 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------