TSTP Solution File: SWV272-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:20:21 EDT 2022
% Result : Unsatisfiable 1.62s 1.85s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 4 unt; 8 nHn; 12 RR)
% Number of literals : 31 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV272-2.p',unknown),
[] ).
cnf(2,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('SWV272-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV272-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV272-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV272-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV272-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV272-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV272-2.p',unknown),
[] ).
cnf(12,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[9,5]),
[iquote('hyper,9,5')] ).
cnf(48,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(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) ),
inference(hyper,[status(thm)],[12,2]),
[iquote('hyper,12,2')] ).
cnf(435,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[48,4])]),
[iquote('hyper,48,4,factor_simp')] ).
cnf(439,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[435,3]),
[iquote('hyper,435,3')] ).
cnf(442,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(v_X,c_union(A,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[439,7]),
[iquote('hyper,439,7')] ).
cnf(478,plain,
( c_in(v_X,c_union(A,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oparts(v_H),B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[442,6]),
[iquote('hyper,442,6')] ).
cnf(483,plain,
c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(factor,[status(thm)],[478]),
[iquote('factor,478.1.2')] ).
cnf(484,plain,
$false,
inference(binary,[status(thm)],[483,1]),
[iquote('binary,483.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n003.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 06:09:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.62/1.85 ----- Otter 3.3f, August 2004 -----
% 1.62/1.85 The process was started by sandbox2 on n003.cluster.edu,
% 1.62/1.85 Wed Jul 27 06:09:11 2022
% 1.62/1.85 The command was "./otter". The process ID is 22343.
% 1.62/1.85
% 1.62/1.85 set(prolog_style_variables).
% 1.62/1.85 set(auto).
% 1.62/1.85 dependent: set(auto1).
% 1.62/1.85 dependent: set(process_input).
% 1.62/1.85 dependent: clear(print_kept).
% 1.62/1.85 dependent: clear(print_new_demod).
% 1.62/1.85 dependent: clear(print_back_demod).
% 1.62/1.85 dependent: clear(print_back_sub).
% 1.62/1.85 dependent: set(control_memory).
% 1.62/1.85 dependent: assign(max_mem, 12000).
% 1.62/1.85 dependent: assign(pick_given_ratio, 4).
% 1.62/1.85 dependent: assign(stats_level, 1).
% 1.62/1.85 dependent: assign(max_seconds, 10800).
% 1.62/1.85 clear(print_given).
% 1.62/1.85
% 1.62/1.85 list(usable).
% 1.62/1.85 0 [] c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.62/1.85 0 [] -c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.62/1.85 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).
% 1.62/1.85 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.62/1.85 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.62/1.85 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).
% 1.62/1.85 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.62/1.85 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.62/1.85 end_of_list.
% 1.62/1.85
% 1.62/1.85 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.62/1.85
% 1.62/1.85 This is a non-Horn set without equality. The strategy will
% 1.62/1.85 be ordered hyper_res, unit deletion, and factoring, with
% 1.62/1.85 satellites in sos and with nuclei in usable.
% 1.62/1.85
% 1.62/1.85 dependent: set(hyper_res).
% 1.62/1.85 dependent: set(factor).
% 1.62/1.85 dependent: set(unit_deletion).
% 1.62/1.85
% 1.62/1.85 ------------> process usable:
% 1.62/1.85 ** KEPT (pick-wt=9): 1 [] -c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.62/1.85 ** KEPT (pick-wt=18): 2 [] -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).
% 1.62/1.85 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.62/1.85 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.62/1.85 ** KEPT (pick-wt=15): 5 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.62/1.85 ** KEPT (pick-wt=11): 6 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.62/1.85 ** KEPT (pick-wt=11): 7 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.62/1.85
% 1.62/1.85 ------------> process sos:
% 1.62/1.85 ** KEPT (pick-wt=11): 9 [] c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.62/1.85
% 1.62/1.85 ======= end of input processing =======
% 1.62/1.85
% 1.62/1.85 =========== start of search ===========
% 1.62/1.85
% 1.62/1.85 -------- PROOF --------
% 1.62/1.85
% 1.62/1.85 ----> UNIT CONFLICT at 0.01 sec ----> 484 [binary,483.1,1.1] $F.
% 1.62/1.85
% 1.62/1.85 Length of proof is 7. Level of proof is 7.
% 1.62/1.85
% 1.62/1.85 ---------------- PROOF ----------------
% 1.62/1.85 % SZS status Unsatisfiable
% 1.62/1.85 % SZS output start Refutation
% See solution above
% 1.62/1.85 ------------ end of proof -------------
% 1.62/1.85
% 1.62/1.85
% 1.62/1.85 Search stopped by max_proofs option.
% 1.62/1.85
% 1.62/1.85
% 1.62/1.85 Search stopped by max_proofs option.
% 1.62/1.85
% 1.62/1.85 ============ end of search ============
% 1.62/1.85
% 1.62/1.85 -------------- statistics -------------
% 1.62/1.85 clauses given 132
% 1.62/1.85 clauses generated 621
% 1.62/1.85 clauses kept 483
% 1.62/1.85 clauses forward subsumed 146
% 1.62/1.85 clauses back subsumed 74
% 1.62/1.85 Kbytes malloced 2929
% 1.62/1.85
% 1.62/1.85 ----------- times (seconds) -----------
% 1.62/1.85 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.62/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.85 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.62/1.85
% 1.62/1.85 That finishes the proof of the theorem.
% 1.62/1.85
% 1.62/1.85 Process 22343 finished Wed Jul 27 06:09:13 2022
% 1.62/1.85 Otter interrupted
% 1.62/1.85 PROOF FOUND
%------------------------------------------------------------------------------