TSTP Solution File: SWV781-1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 10:58:57 EDT 2024
% Result : Unsatisfiable 28.34s 5.59s
% Output : Refutation 28.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 30 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 24 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 163 ( 15 ~; 5 |; 0 &; 143 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 15 ( 0 ^ 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
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_OtakeWhile_type,type,
c_List_OtakeWhile: $i > $i > $i > $i ).
thf(v_P_type,type,
v_P: $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(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(tc_bool_type,type,
tc_bool: $i ).
thf(c_Event_OinitState_type,type,
c_Event_OinitState: $i > $i ).
thf(516,axiom,
! [A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
thf(1716,plain,
! [A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(1717,plain,
! [A: $i] :
( ( c_Event_Oknows @ A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ A ) ),
inference(lifteq,[status(thm)],[1716]) ).
thf(1,negated_conjecture,
~ ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(544,plain,
~ ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(545,plain,
~ ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(polarity_switch,[status(thm)],[544]) ).
thf(1830,plain,
~ ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
inference(rewrite,[status(thm)],[545,1717]) ).
thf(1854,plain,
! [A: $i] :
( ~ ( c_lessequals @ ( c_Event_OinitState @ A ) @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ( ( c_Event_Oknows @ A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) ),
inference(paramod_ordered,[status(thm)],[1717,1830]) ).
thf(1856,plain,
! [A: $i] :
( ~ ( c_lessequals @ ( c_Event_OinitState @ A ) @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ( A != c_Message_Oagent_OSpy )
| ( ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ),
inference(simp,[status(thm)],[1854]) ).
thf(1857,plain,
( ~ ( c_lessequals @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ ( c_Event_OinitState @ c_Message_Oagent_OSpy ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ( ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ),
inference(simp,[status(thm)],[1856]) ).
thf(423,axiom,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(1522,plain,
! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_fun @ B @ tc_bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(2149,plain,
( ~ $true
| ( ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ),
inference(rewrite,[status(thm)],[1857,1522]) ).
thf(2150,plain,
( ( c_List_OtakeWhile @ v_P @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ),
inference(simp,[status(thm)],[2149]) ).
thf(497,axiom,
! [B: $i,A: $i] :
( ( c_List_OtakeWhile @ A @ ( c_List_Olist_ONil @ B ) @ B )
= ( c_List_Olist_ONil @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
thf(1678,plain,
! [B: $i,A: $i] :
( ( c_List_OtakeWhile @ A @ ( c_List_Olist_ONil @ B ) @ B )
= ( c_List_Olist_ONil @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(1679,plain,
! [B: $i,A: $i] :
( ( c_List_OtakeWhile @ A @ ( c_List_Olist_ONil @ B ) @ B )
= ( c_List_Olist_ONil @ B ) ),
inference(lifteq,[status(thm)],[1678]) ).
thf(2855,plain,
( ( c_List_Olist_ONil @ tc_Event_Oevent )
!= ( c_List_Olist_ONil @ tc_Event_Oevent ) ),
inference(rewrite,[status(thm)],[2150,1679]) ).
thf(2856,plain,
$false,
inference(simp,[status(thm)],[2855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n023.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 00:17:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.74/1.10 % [INFO] Parsing done (228ms).
% 1.74/1.11 % [INFO] Running in sequential loop mode.
% 2.23/1.32 % [INFO] nitpick registered as external prover.
% 2.32/1.32 % [INFO] Scanning for conjecture ...
% 2.70/1.43 % [INFO] Found a conjecture and 544 axioms. Running axiom selection ...
% 3.21/1.55 % [INFO] Axiom selection finished. Selected 542 axioms (removed 2 axioms).
% 3.52/1.71 % [INFO] Problem is propositional (TPTP CNF).
% 3.52/1.72 % [INFO] Type checking passed.
% 3.52/1.72 % [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 ...
% 28.34/5.59 % [INFO] Killing All external provers ...
% 28.34/5.59 % Time passed: 5078ms (effective reasoning time: 4470ms)
% 28.34/5.59 % 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)>
% 28.34/5.59 % Axioms used in derivation (3): cls_knows__Nil_0, cls_equalityE_0, cls_takeWhile_Osimps_I1_J_0
% 28.34/5.59 % No. of inferences in proof: 19
% 28.34/5.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5078 ms resp. 4470 ms w/o parsing
% 28.34/5.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.34/5.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------