TSTP Solution File: SWV273-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 1.80s 1.93s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 5 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 : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_lesse_quals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
file('SWV273-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lesse_quals(A,B,tc_set(tc_Message_Omsg))
| c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg)) ),
file('SWV273-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg))
| c_lesse_quals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg)) ),
file('SWV273-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_lesse_quals(A,B,tc_set(C))
| ~ c_lesse_quals(D,B,tc_set(C))
| c_lesse_quals(c_union(D,A,C),B,tc_set(C)) ),
file('SWV273-2.p',unknown),
[] ).
cnf(5,axiom,
c_lesse_quals(A,c_Message_Osynth(A),tc_set(tc_Message_Omsg)),
file('SWV273-2.p',unknown),
[] ).
cnf(6,axiom,
c_lesse_quals(A,A,tc_set(B)),
file('SWV273-2.p',unknown),
[] ).
cnf(8,plain,
c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(c_Message_Osynth(A)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[5,2]),
[iquote('hyper,5,2')] ).
cnf(12,plain,
c_lesse_quals(A,c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[6,3]),
[iquote('hyper,6,3')] ).
cnf(23,plain,
c_lesse_quals(c_union(c_Message_Oparts(A),c_Message_Osynth(A),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(A)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[8,4,12]),
[iquote('hyper,8,4,12')] ).
cnf(24,plain,
$false,
inference(binary,[status(thm)],[23,1]),
[iquote('binary,23.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 06:34:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.80/1.93 ----- Otter 3.3f, August 2004 -----
% 1.80/1.93 The process was started by sandbox2 on n029.cluster.edu,
% 1.80/1.93 Wed Jul 27 06:34:29 2022
% 1.80/1.93 The command was "./otter". The process ID is 23552.
% 1.80/1.93
% 1.80/1.93 set(prolog_style_variables).
% 1.80/1.93 set(auto).
% 1.80/1.93 dependent: set(auto1).
% 1.80/1.93 dependent: set(process_input).
% 1.80/1.93 dependent: clear(print_kept).
% 1.80/1.93 dependent: clear(print_new_demod).
% 1.80/1.93 dependent: clear(print_back_demod).
% 1.80/1.93 dependent: clear(print_back_sub).
% 1.80/1.93 dependent: set(control_memory).
% 1.80/1.93 dependent: assign(max_mem, 12000).
% 1.80/1.93 dependent: assign(pick_given_ratio, 4).
% 1.80/1.93 dependent: assign(stats_level, 1).
% 1.80/1.93 dependent: assign(max_seconds, 10800).
% 1.80/1.93 clear(print_given).
% 1.80/1.93
% 1.80/1.93 list(usable).
% 1.80/1.93 0 [] -c_lesse_quals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)).
% 1.80/1.93 0 [] -c_lesse_quals(V_G,V_H,tc_set(tc_Message_Omsg))|c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)).
% 1.80/1.93 0 [] -c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))|c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)).
% 1.80/1.93 0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)).
% 1.80/1.93 0 [] -c_lesse_quals(V_B,V_C,tc_set(T_a))| -c_lesse_quals(V_A,V_C,tc_set(T_a))|c_lesse_quals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)).
% 1.80/1.93 0 [] c_lesse_quals(V_A,V_A,tc_set(T_a)).
% 1.80/1.93 end_of_list.
% 1.80/1.93
% 1.80/1.93 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.80/1.93
% 1.80/1.93 This is a Horn set without equality. The strategy will
% 1.80/1.93 be hyperresolution, with satellites in sos and nuclei
% 1.80/1.93 in usable.
% 1.80/1.93
% 1.80/1.93 dependent: set(hyper_res).
% 1.80/1.93 dependent: clear(order_hyper).
% 1.80/1.93
% 1.80/1.93 ------------> process usable:
% 1.80/1.93 ** KEPT (pick-wt=12): 1 [] -c_lesse_quals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)).
% 1.80/1.93 ** KEPT (pick-wt=12): 2 [] -c_lesse_quals(A,B,tc_set(tc_Message_Omsg))|c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg)).
% 1.80/1.93 ** KEPT (pick-wt=13): 3 [] -c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg))|c_lesse_quals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg)).
% 1.80/1.93 ** KEPT (pick-wt=18): 4 [] -c_lesse_quals(A,B,tc_set(C))| -c_lesse_quals(D,B,tc_set(C))|c_lesse_quals(c_union(D,A,C),B,tc_set(C)).
% 1.80/1.93
% 1.80/1.93 ------------> process sos:
% 1.80/1.93 ** KEPT (pick-wt=6): 5 [] c_lesse_quals(A,c_Message_Osynth(A),tc_set(tc_Message_Omsg)).
% 1.80/1.93 ** KEPT (pick-wt=5): 6 [] c_lesse_quals(A,A,tc_set(B)).
% 1.80/1.93
% 1.80/1.93 ======= end of input processing =======
% 1.80/1.93
% 1.80/1.93 =========== start of search ===========
% 1.80/1.93
% 1.80/1.93 -------- PROOF --------
% 1.80/1.93
% 1.80/1.93 ----> UNIT CONFLICT at 0.00 sec ----> 24 [binary,23.1,1.1] $F.
% 1.80/1.93
% 1.80/1.93 Length of proof is 3. Level of proof is 2.
% 1.80/1.93
% 1.80/1.93 ---------------- PROOF ----------------
% 1.80/1.93 % SZS status Unsatisfiable
% 1.80/1.93 % SZS output start Refutation
% See solution above
% 1.80/1.93 ------------ end of proof -------------
% 1.80/1.93
% 1.80/1.93
% 1.80/1.93 Search stopped by max_proofs option.
% 1.80/1.93
% 1.80/1.93
% 1.80/1.93 Search stopped by max_proofs option.
% 1.80/1.93
% 1.80/1.93 ============ end of search ============
% 1.80/1.93
% 1.80/1.93 -------------- statistics -------------
% 1.80/1.93 clauses given 5
% 1.80/1.93 clauses generated 24
% 1.80/1.93 clauses kept 23
% 1.80/1.93 clauses forward subsumed 7
% 1.80/1.93 clauses back subsumed 0
% 1.80/1.93 Kbytes malloced 976
% 1.80/1.93
% 1.80/1.93 ----------- times (seconds) -----------
% 1.80/1.93 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.93 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/1.93
% 1.80/1.93 That finishes the proof of the theorem.
% 1.80/1.93
% 1.80/1.93 Process 23552 finished Wed Jul 27 06:34:31 2022
% 1.80/1.93 Otter interrupted
% 1.80/1.93 PROOF FOUND
%------------------------------------------------------------------------------