%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV776-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : 600s
% DateTime : Wed Jul 20 21:45:07 EDT 2022
% Result : Unsatisfiable 2.09s 2.29s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 7 unt; 1 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 17 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(404,axiom,
equal(c_Event_Oknows(u,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(u)),
file('SWV776-1.p',unknown),
[] ).
cnf(417,axiom,
equal(c_List_Oappend(u,c_List_Olist_OCons(v,c_List_Olist_ONil(w),w),w),c_List_Orotate1(c_List_Olist_OCons(v,u,w),w)),
file('SWV776-1.p',unknown),
[] ).
cnf(459,axiom,
equal(c_List_Oappend(c_List_Olist_ONil(u),v,u),v),
file('SWV776-1.p',unknown),
[] ).
cnf(466,axiom,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(u,v),w,tc_Event_Oevent)),c_Set_Oinsert(v,c_Event_Oknows(c_Message_Oagent_OSpy,w),tc_Message_Omsg)) ),
file('SWV776-1.p',unknown),
[] ).
cnf(470,axiom,
( equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(u,v),w,tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,w))
| c_in(u,c_Event_Obad,tc_Message_Oagent) ),
file('SWV776-1.p',unknown),
[] ).
cnf(496,axiom,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV776-1.p',unknown),
[] ).
cnf(497,axiom,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV776-1.p',unknown),
[] ).
cnf(524,plain,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orotate1(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[417,496,404]),
[iquote('0:Rew:417.0,496.0,404.0,496.0')] ).
cnf(528,plain,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orotate1(c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[417,497,404]),
[iquote('0:Rew:417.0,497.0,404.0,497.0')] ).
cnf(6813,plain,
equal(c_List_Orotate1(c_List_Olist_OCons(u,c_List_Olist_ONil(v),v),v),c_List_Olist_OCons(u,c_List_Olist_ONil(v),v)),
inference(spr,[status(thm),theory(equality)],[417,459]),
[iquote('0:SpR:417.0,459.0')] ).
cnf(6839,plain,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[6813,524]),
[iquote('0:Rew:6813.0,524.0')] ).
cnf(6840,plain,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[6813,528]),
[iquote('0:Rew:6813.0,528.0')] ).
cnf(6842,plain,
( ~ equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[470,6839]),
[iquote('0:Rew:470.0,6839.0')] ).
cnf(6843,plain,
( ~ equal(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_OinitState(c_Message_Oagent_OSpy))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[404,6842]),
[iquote('0:Rew:404.0,6842.0')] ).
cnf(6844,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(obv,[status(thm),theory(equality)],[6843]),
[iquote('0:Obv:6843.0')] ).
cnf(6848,plain,
( ~ equal(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[466,6840]),
[iquote('0:Rew:466.1,6840.0')] ).
cnf(6849,plain,
( ~ equal(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[404,6848]),
[iquote('0:Rew:404.0,6848.0')] ).
cnf(6850,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(obv,[status(thm),theory(equality)],[6849]),
[iquote('0:Obv:6849.0')] ).
cnf(6851,plain,
$false,
inference(mrr,[status(thm)],[6850,6844]),
[iquote('0:MRR:6850.0,6844.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV776-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 22:07:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.09/2.29
% 2.09/2.29 SPASS V 3.9
% 2.09/2.29 SPASS beiseite: Proof found.
% 2.09/2.29 % SZS status Theorem
% 2.09/2.29 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.09/2.29 SPASS derived 5158 clauses, backtracked 0 clauses, performed 0 splits and kept 2483 clauses.
% 2.09/2.29 SPASS allocated 83809 KBytes.
% 2.09/2.29 SPASS spent 0:00:01.89 on the problem.
% 2.09/2.29 0:00:00.05 for the input.
% 2.09/2.29 0:00:00.00 for the FLOTTER CNF translation.
% 2.09/2.29 0:00:00.08 for inferences.
% 2.09/2.29 0:00:00.00 for the backtracking.
% 2.09/2.29 0:00:01.70 for the reduction.
% 2.09/2.29
% 2.09/2.29
% 2.09/2.29 Here is a proof with depth 1, length 19 :
% 2.09/2.29 % SZS output start Refutation
% See solution above
% 2.09/2.29 Formulae used in the proof : cls_knows__Nil_0 cls_rotate__simps_1 cls_eq__Nil__appendI_0 cls_knows__Spy__Notes_0 cls_knows__Spy__Notes_1 cls_conjecture_0 cls_conjecture_1
% 2.09/2.29
%------------------------------------------------------------------------------