%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PRO019^1 : TPTP v9.3.1. Released v7.0.0.
% 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 : n004.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 08:20:28 AM UTC 2026
% Result : Theorem 34.82s 9.74s
% Output : Refutation 34.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 11 ~; 7 |; 1 &; 51 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(proces10484146Action_decl,type,
proces10484146Action:
!>[TA: $tType] : ( ( proces634752977rocess @ TA ) > $o ) ).
thf(proces401113213Choice_decl,type,
proces401113213Choice:
!>[TA: $tType] : ( ( proces634752977rocess @ TA ) > $o ) ).
thf(p_decl,type,
p: proces634752977rocess @ a ).
thf(127,axiom,
! [TA: $tType,A: proces634752977rocess @ TA] :
( ~ ( proces10484146Action @ TA @ A )
=> ( proces401113213Choice @ TA @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_process_Oexhaust__disc) ).
thf(657,plain,
! [TA: $tType,A: proces634752977rocess @ TA] :
( ~ ( proces10484146Action @ TA @ A )
=> ( proces401113213Choice @ TA @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(658,plain,
! [TA: $tType,A: proces634752977rocess @ TA] :
( ( proces10484146Action @ TA @ A )
| ( proces401113213Choice @ TA @ A ) ),
inference(cnf,[status(esa)],[657]) ).
thf(1,conjecture,
( ( proces10484146Action @ a @ p )
| ( proces401113213Choice @ a @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( ( proces10484146Action @ a @ p )
| ( proces401113213Choice @ a @ p ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(142,plain,
~ ( ( proces10484146Action @ a @ p )
| ( proces401113213Choice @ a @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(143,plain,
( ~ ( proces10484146Action @ a @ p )
& ~ ( proces401113213Choice @ a @ p ) ),
inference(cnf,[status(esa)],[142]) ).
thf(145,plain,
~ ( proces401113213Choice @ a @ p ),
inference(cnfConj,[status(thm)],[143]) ).
thf(817,plain,
! [TA: $tType,A: proces634752977rocess @ TA] :
( ( proces10484146Action @ TA @ A )
| ~ $true
| ( ( proces401113213Choice @ TA @ A )
!= ( proces401113213Choice @ a @ p ) ) ),
inference(paramod_ordered,[status(thm)],[658,145]) ).
thf(818,plain,
! [TA: $tType,A: proces634752977rocess @ TA] :
( ( proces10484146Action @ TA @ A )
| ( ( proces401113213Choice @ TA @ A )
!= ( proces401113213Choice @ a @ p ) ) ),
inference(simp,[status(thm)],[817]) ).
thf(819,plain,
proces10484146Action @ a @ p,
inference(pattern_uni,[status(thm)],[818:[bind(A,$thf( p )),bind_type(TA,$thf( a ))]]) ).
thf(144,plain,
~ ( proces10484146Action @ a @ p ),
inference(cnfConj,[status(thm)],[143]) ).
thf(821,plain,
$false,
inference(rewrite,[status(thm)],[819,144]) ).
thf(822,plain,
$false,
inference(simp,[status(thm)],[821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO019^1 : TPTP v9.3.1. Released v7.0.0.
% 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
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 13:20:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.86/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.00/1.16 % [INFO] Parsing done (372ms).
% 2.00/1.17 % [INFO] Running in sequential loop mode.
% 3.09/1.55 % [INFO] eprover registered as external prover.
% 3.09/1.56 % [INFO] Scanning for conjecture ...
% 3.53/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 283 axioms. Running axiom selection ...
% 3.74/1.83 % [INFO] Axiom selection finished. Selected 139 axioms (removed 144 axioms).
% 4.79/2.14 % [INFO] Problem is higher-order (TPTP THF).
% 4.79/2.16 % [INFO] Type checking passed.
% 4.79/2.17 % [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 ...
% 34.82/9.74 % [INFO] Killing All external provers ...
% 34.82/9.74 % Time passed: 9401ms (effective reasoning time: 8561ms)
% 34.82/9.74 % 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)>
% 34.82/9.74 % Axioms used in derivation (1): fact_2_process_Oexhaust__disc
% 34.82/9.74 % No. of inferences in proof: 14
% 34.82/9.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9401 ms resp. 8561 ms w/o parsing
% 34.82/9.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.82/9.77 % [INFO] Killing All external provers ...
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