TSTP Solution File: SWV778-1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWV778-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 10:58:56 EDT 2024
% Result : Unsatisfiable 13.22s 3.63s
% Output : Refutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 72 ( 8 ~; 1 |; 0 &; 63 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Event_Oknows_type,type,
c_Event_Oknows: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: $i ).
thf(c_List_Olist_ONil_type,type,
c_List_Olist_ONil: $i > $i ).
thf(tc_Event_Oevent_type,type,
tc_Event_Oevent: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_List_Orev_type,type,
c_List_Orev: $i > $i ).
thf(1,negated_conjecture,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(436,plain,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(437,plain,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) ),
inference(polarity_switch,[status(thm)],[436]) ).
thf(438,plain,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ),
inference(lifteq,[status(thm)],[437]) ).
thf(1419,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OSpy )
| ( ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ),
inference(simp,[status(thm)],[438]) ).
thf(1420,plain,
( ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ),
inference(simp,[status(thm)],[1419]) ).
thf(285,axiom,
! [A: $i] :
( ( hAPP @ ( c_List_Orev @ A ) @ ( c_List_Olist_ONil @ A ) )
= ( c_List_Olist_ONil @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
thf(1082,plain,
! [A: $i] :
( ( hAPP @ ( c_List_Orev @ A ) @ ( c_List_Olist_ONil @ A ) )
= ( c_List_Olist_ONil @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(1083,plain,
! [A: $i] :
( ( hAPP @ ( c_List_Orev @ A ) @ ( c_List_Olist_ONil @ A ) )
= ( c_List_Olist_ONil @ A ) ),
inference(lifteq,[status(thm)],[1082]) ).
thf(1514,plain,
( ( c_List_Olist_ONil @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ),
inference(rewrite,[status(thm)],[1420,1083]) ).
thf(1515,plain,
$false,
inference(simp,[status(thm)],[1514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue May 7 00:18:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.85/0.81 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.01 % [INFO] Parsing done (205ms).
% 1.45/1.02 % [INFO] Running in sequential loop mode.
% 2.12/1.23 % [INFO] nitpick registered as external prover.
% 2.12/1.23 % [INFO] Scanning for conjecture ...
% 2.47/1.34 % [INFO] Found a conjecture and 442 axioms. Running axiom selection ...
% 2.67/1.44 % [INFO] Axiom selection finished. Selected 434 axioms (removed 8 axioms).
% 3.35/1.58 % [INFO] Problem is propositional (TPTP CNF).
% 3.35/1.59 % [INFO] Type checking passed.
% 3.35/1.59 % [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 ...
% 13.22/3.62 % [INFO] Killing All external provers ...
% 13.22/3.63 % Time passed: 3099ms (effective reasoning time: 2599ms)
% 13.22/3.63 % 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)>
% 13.22/3.63 % Axioms used in derivation (1): cls_rev__is__Nil__conv_1
% 13.22/3.63 % No. of inferences in proof: 11
% 13.22/3.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3099 ms resp. 2599 ms w/o parsing
% 13.22/3.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.22/3.66 % [INFO] Killing All external provers ...
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