%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 : Wed Jul 27 13:20:22 EDT 2022
% Result : Unsatisfiable 1.61s 1.81s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Event_Oused(B),tc_Message_Omsg)
| c_lesse_quals(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Event_Oused(B),tc_set(tc_Message_Omsg)) ),
file('SWV279-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,C)
| ~ c_lesse_quals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('SWV279-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('SWV279-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(A,c_insert(A,B,C),C),
file('SWV279-2.p',unknown),
[] ).
cnf(9,plain,
c_lesse_quals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[7,5]),
[iquote('hyper,7,5')] ).
cnf(11,plain,
c_in(A,c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[8,4]),
[iquote('hyper,8,4')] ).
cnf(20,plain,
c_in(A,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,3]),
[iquote('hyper,11,3')] ).
cnf(21,plain,
c_in(A,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(B,A),C,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,2]),
[iquote('hyper,11,2')] ).
cnf(30,plain,
c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(hyper,[status(thm)],[20,6,9]),
[iquote('hyper,20,6,9')] ).
cnf(34,plain,
c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(hyper,[status(thm)],[21,6,9]),
[iquote('hyper,21,6,9')] ).
cnf(38,plain,
$false,
inference(hyper,[status(thm)],[34,1,30]),
[iquote('hyper,34,1,30')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:46:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.61/1.81 ----- Otter 3.3f, August 2004 -----
% 1.61/1.81 The process was started by sandbox on n014.cluster.edu,
% 1.61/1.81 Wed Jul 27 05:46:39 2022
% 1.61/1.81 The command was "./otter". The process ID is 28524.
% 1.61/1.81
% 1.61/1.81 set(prolog_style_variables).
% 1.61/1.81 set(auto).
% 1.61/1.81 dependent: set(auto1).
% 1.61/1.81 dependent: set(process_input).
% 1.61/1.81 dependent: clear(print_kept).
% 1.61/1.81 dependent: clear(print_new_demod).
% 1.61/1.81 dependent: clear(print_back_demod).
% 1.61/1.81 dependent: clear(print_back_sub).
% 1.61/1.81 dependent: set(control_memory).
% 1.61/1.81 dependent: assign(max_mem, 12000).
% 1.61/1.81 dependent: assign(pick_given_ratio, 4).
% 1.61/1.81 dependent: assign(stats_level, 1).
% 1.61/1.81 dependent: assign(max_seconds, 10800).
% 1.61/1.81 clear(print_given).
% 1.61/1.81
% 1.61/1.81 list(usable).
% 1.61/1.81 0 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg).
% 1.61/1.81 0 [] -c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)| -c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg).
% 1.61/1.81 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.61/1.81 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.61/1.81 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.61/1.81 0 [] -c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)|c_lesse_quals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg)).
% 1.61/1.81 0 [] c_in(V_x,c_insert(V_x,V_A,T_a),T_a).
% 1.61/1.81 0 [] -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_set(T_a))|c_in(V_c,V_B,T_a).
% 1.61/1.81 end_of_list.
% 1.61/1.81
% 1.61/1.81 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.61/1.81
% 1.61/1.81 This is a Horn set without equality. The strategy will
% 1.61/1.81 be hyperresolution, with satellites in sos and nuclei
% 1.61/1.81 in usable.
% 1.61/1.81
% 1.61/1.81 dependent: set(hyper_res).
% 1.61/1.81 dependent: clear(order_hyper).
% 1.61/1.81
% 1.61/1.81 ------------> process usable:
% 1.61/1.81 ** KEPT (pick-wt=10): 1 [] -c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)| -c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg).
% 1.61/1.81 ** KEPT (pick-wt=12): 2 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.61/1.81 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 1.61/1.81 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.61/1.81 ** KEPT (pick-wt=15): 5 [] -c_in(A,c_Event_Oused(B),tc_Message_Omsg)|c_lesse_quals(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Event_Oused(B),tc_set(tc_Message_Omsg)).
% 1.61/1.81 ** KEPT (pick-wt=13): 6 [] -c_in(A,B,C)| -c_lesse_quals(B,D,tc_set(C))|c_in(A,D,C).
% 1.61/1.81
% 1.61/1.81 ------------> process sos:
% 1.61/1.81 ** KEPT (pick-wt=7): 7 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg).
% 1.61/1.81 ** KEPT (pick-wt=7): 8 [] c_in(A,c_insert(A,B,C),C).
% 1.61/1.81
% 1.61/1.81 ======= end of input processing =======
% 1.61/1.81
% 1.61/1.81 =========== start of search ===========
% 1.61/1.81
% 1.61/1.81 -------- PROOF --------
% 1.61/1.81
% 1.61/1.81 -----> EMPTY CLAUSE at 0.00 sec ----> 38 [hyper,34,1,30] $F.
% 1.61/1.81
% 1.61/1.81 Length of proof is 6. Level of proof is 3.
% 1.61/1.81
% 1.61/1.81 ---------------- PROOF ----------------
% 1.61/1.81 % SZS status Unsatisfiable
% 1.61/1.81 % SZS output start Refutation
% See solution above
% 1.61/1.81 ------------ end of proof -------------
% 1.61/1.81
% 1.61/1.81
% 1.61/1.81 Search stopped by max_proofs option.
% 1.61/1.81
% 1.61/1.81
% 1.61/1.81 Search stopped by max_proofs option.
% 1.61/1.81
% 1.61/1.81 ============ end of search ============
% 1.61/1.81
% 1.61/1.81 -------------- statistics -------------
% 1.61/1.81 clauses given 19
% 1.61/1.81 clauses generated 37
% 1.61/1.81 clauses kept 37
% 1.61/1.81 clauses forward subsumed 7
% 1.61/1.81 clauses back subsumed 0
% 1.61/1.81 Kbytes malloced 976
% 1.61/1.81
% 1.61/1.81 ----------- times (seconds) -----------
% 1.61/1.81 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.81 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.61/1.81
% 1.61/1.81 That finishes the proof of the theorem.
% 1.61/1.81
% 1.61/1.81 Process 28524 finished Wed Jul 27 05:46:40 2022
% 1.61/1.81 Otter interrupted
% 1.61/1.81 PROOF FOUND
%------------------------------------------------------------------------------