TSTP Solution File: SWV247-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:20:17 EDT 2022
% Result : Unsatisfiable 1.63s 1.89s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 11 unt; 10 nHn; 18 RR)
% Number of literals : 44 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)
| c_in(B,c_Message_Osynth(C),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV247-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV247-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV247-2.p',unknown),
[] ).
cnf(8,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(11,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(12,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[10,7]),
[iquote('hyper,10,7')] ).
cnf(16,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[11,7]),
[iquote('hyper,11,7')] ).
cnf(67,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg) ),
inference(hyper,[status(thm)],[16,3]),
[iquote('hyper,16,3')] ).
cnf(76,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,A,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[67,6]),
[iquote('hyper,67,6')] ).
cnf(527,plain,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[76,4])]),
[iquote('hyper,76,4,factor_simp')] ).
cnf(535,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[527,2,12]),
[iquote('hyper,527,2,12')] ).
cnf(575,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),A,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[535,6]),
[iquote('hyper,535,6')] ).
cnf(771,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(hyper,[status(thm)],[575,8]),
[iquote('hyper,575,8')] ).
cnf(775,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
inference(hyper,[status(thm)],[771,1]),
[iquote('hyper,771,1')] ).
cnf(792,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| c_in(v_X,c_union(A,c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[775,5]),
[iquote('hyper,775,5')] ).
cnf(853,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg),
inference(hyper,[status(thm)],[792,8]),
[iquote('hyper,792,8')] ).
cnf(854,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,A,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[853,6]),
[iquote('hyper,853,6')] ).
cnf(865,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,A,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[854,4]),
[iquote('hyper,854,4')] ).
cnf(884,plain,
c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[865,2,527]),
[iquote('hyper,865,2,527')] ).
cnf(885,plain,
c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),A,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[884,6]),
[iquote('hyper,884,6')] ).
cnf(886,plain,
$false,
inference(binary,[status(thm)],[885,8]),
[iquote('binary,885.1,8.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 06:07:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.63/1.89 ----- Otter 3.3f, August 2004 -----
% 1.63/1.89 The process was started by sandbox2 on n004.cluster.edu,
% 1.63/1.89 Wed Jul 27 06:07:36 2022
% 1.63/1.89 The command was "./otter". The process ID is 12613.
% 1.63/1.89
% 1.63/1.89 set(prolog_style_variables).
% 1.63/1.89 set(auto).
% 1.63/1.89 dependent: set(auto1).
% 1.63/1.89 dependent: set(process_input).
% 1.63/1.89 dependent: clear(print_kept).
% 1.63/1.89 dependent: clear(print_new_demod).
% 1.63/1.89 dependent: clear(print_back_demod).
% 1.63/1.89 dependent: clear(print_back_sub).
% 1.63/1.89 dependent: set(control_memory).
% 1.63/1.89 dependent: assign(max_mem, 12000).
% 1.63/1.89 dependent: assign(pick_given_ratio, 4).
% 1.63/1.89 dependent: assign(stats_level, 1).
% 1.63/1.89 dependent: assign(max_seconds, 10800).
% 1.63/1.89 clear(print_given).
% 1.63/1.89
% 1.63/1.89 list(usable).
% 1.63/1.89 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 1.63/1.89 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.63/1.89 0 [] -c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg).
% 1.63/1.89 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.63/1.89 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.63/1.89 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.63/1.89 0 [] -c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a).
% 1.63/1.89 0 [] c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89 0 [] c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89 0 [] -c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89 end_of_list.
% 1.63/1.89
% 1.63/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.63/1.89
% 1.63/1.89 This is a non-Horn set without equality. The strategy will
% 1.63/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.63/1.89 satellites in sos and with nuclei in usable.
% 1.63/1.89
% 1.63/1.89 dependent: set(hyper_res).
% 1.63/1.89 dependent: set(factor).
% 1.63/1.89 dependent: set(unit_deletion).
% 1.63/1.89
% 1.63/1.89 ------------> process usable:
% 1.63/1.89 ** KEPT (pick-wt=18): 1 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(B,c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg).
% 1.63/1.89 ** KEPT (pick-wt=19): 2 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OKey(c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.63/1.89 ** KEPT (pick-wt=11): 3 [] -c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg).
% 1.63/1.89 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 1.63/1.89 ** KEPT (pick-wt=11): 5 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.63/1.89 ** KEPT (pick-wt=11): 6 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.63/1.89 ** KEPT (pick-wt=15): 7 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.63/1.89 ** KEPT (pick-wt=12): 8 [] -c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89
% 1.63/1.89 ------------> process sos:
% 1.63/1.89 ** KEPT (pick-wt=14): 10 [] c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89 ** KEPT (pick-wt=14): 11 [] c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.63/1.89
% 1.63/1.89 ======= end of input processing =======
% 1.63/1.89
% 1.63/1.89 =========== start of search ===========
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Resetting weight limit to 18.
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Resetting weight limit to 18.
% 1.63/1.89
% 1.63/1.89 sos_size=362
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Resetting weight limit to 14.
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Resetting weight limit to 14.
% 1.63/1.89
% 1.63/1.89 sos_size=319
% 1.63/1.89
% 1.63/1.89 -------- PROOF --------
% 1.63/1.89
% 1.63/1.89 ----> UNIT CONFLICT at 0.04 sec ----> 886 [binary,885.1,8.1] $F.
% 1.63/1.89
% 1.63/1.89 Length of proof is 15. Level of proof is 14.
% 1.63/1.89
% 1.63/1.89 ---------------- PROOF ----------------
% 1.63/1.89 % SZS status Unsatisfiable
% 1.63/1.89 % SZS output start Refutation
% See solution above
% 1.63/1.89 ------------ end of proof -------------
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Search stopped by max_proofs option.
% 1.63/1.89
% 1.63/1.89
% 1.63/1.89 Search stopped by max_proofs option.
% 1.63/1.89
% 1.63/1.89 ============ end of search ============
% 1.63/1.89
% 1.63/1.89 -------------- statistics -------------
% 1.63/1.89 clauses given 289
% 1.63/1.89 clauses generated 1472
% 1.63/1.89 clauses kept 885
% 1.63/1.89 clauses forward subsumed 357
% 1.63/1.89 clauses back subsumed 367
% 1.63/1.89 Kbytes malloced 4882
% 1.63/1.89
% 1.63/1.89 ----------- times (seconds) -----------
% 1.63/1.89 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 1.63/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.63/1.89
% 1.63/1.89 That finishes the proof of the theorem.
% 1.63/1.89
% 1.63/1.89 Process 12613 finished Wed Jul 27 06:07:37 2022
% 1.63/1.89 Otter interrupted
% 1.63/1.89 PROOF FOUND
%------------------------------------------------------------------------------