%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO927^1 : TPTP v9.3.1. Released v9.0.0.
% 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 : n003.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 08:46:14 AM UTC 2026
% Result : Theorem 3.71s 2.19s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 3 def)
% Number of atoms : 22 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 2 &; 41 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 11 ^; 16 !; 5 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mrel_decl,type,
mrel: mworld > mworld > $o ).
thf(mbox_decl,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mdia_decl,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mactual_decl,type,
mactual: mworld ).
thf(mlocal_decl,type,
mlocal: ( mworld > $o ) > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: mworld > $o,B: mworld] :
! [C: mworld] :
( ( mrel @ B @ C )
=> ( A @ C ) ) ) ) ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: mworld > $o,B: mworld] :
? [C: mworld] :
( ( mrel @ B @ C )
& ( A @ C ) ) ) ) ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).
thf(1,conjecture,
( mlocal
@ ^ [A: mworld] :
! [B: $i > $o,C: $i > $i,D: $i] :
? [E: $i > $i] :
( ( mdia
@ ( mbox
@ ^ [F: mworld] : ( B @ ( C @ D ) ) )
@ A )
=> ( mbox
@ ^ [F: mworld] : ( B @ ( E @ D ) )
@ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',1) ).
thf(2,negated_conjecture,
~ ( mlocal
@ ^ [A: mworld] :
! [B: $i > $o,C: $i > $i,D: $i] :
? [E: $i > $i] :
( ( mdia
@ ( mbox
@ ^ [F: mworld] : ( B @ ( C @ D ) ) )
@ A )
=> ( mbox
@ ^ [F: mworld] : ( B @ ( E @ D ) )
@ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i > $o,B: $i > $i,C: $i] :
? [D: $i > $i] :
( ? [E: mworld] :
( ( mrel @ mactual @ E )
& ! [F: mworld] :
( ( mrel @ E @ F )
=> ( A @ ( B @ C ) ) ) )
=> ! [E: mworld] :
( ( mrel @ mactual @ E )
=> ( A @ ( D @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(12,plain,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[4,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO927^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.07 % 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
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:29:43 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.89/0.77 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.96 % [INFO] Parsing done (182ms).
% 1.24/0.98 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 1.45/1.12 % [INFO] Running in sequential loop mode.
% 2.35/1.50 % [INFO] eprover registered as external prover.
% 2.35/1.51 % [INFO] Scanning for conjecture ...
% 2.53/1.62 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.53/1.66 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.53/1.66 % [INFO] Problem is higher-order (TPTP THF).
% 2.53/1.67 % [INFO] Type checking passed.
% 2.53/1.67 % [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 ...
% 3.71/2.18 % External prover 'e' found a proof!
% 3.71/2.18 % [INFO] Killing All external provers ...
% 3.71/2.19 % Time passed: 1849ms (effective reasoning time: 1059ms)
% 3.71/2.19 % 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)>
% 3.71/2.19 % Axioms used in derivation (1): mrel_universal
% 3.71/2.19 % No. of inferences in proof: 6
% 3.71/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1849 ms resp. 1059 ms w/o parsing
% 3.87/2.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.87/2.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------