TSTP Solution File: SWV242-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:20:16 EDT 2022
% Result : Unsatisfiable 1.63s 1.85s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_lesse_quals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lesse_quals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lesse_quals(A,B,tc_set(tc_Message_Omsg))
| c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_set(tc_Message_Omsg)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_lesse_quals(A,B,tc_set(C))
| ~ c_lesse_quals(D,A,tc_set(C))
| c_lesse_quals(D,B,tc_set(C)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(4,axiom,
c_lesse_quals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('SWV242-2.p',unknown),
[] ).
cnf(5,axiom,
c_lesse_quals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('SWV242-2.p',unknown),
[] ).
cnf(6,axiom,
c_lesse_quals(A,c_union(A,B,C),tc_set(C)),
file('SWV242-2.p',unknown),
[] ).
cnf(7,axiom,
c_lesse_quals(A,c_union(B,A,C),tc_set(C)),
file('SWV242-2.p',unknown),
[] ).
cnf(13,plain,
c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[6,2]),
[iquote('hyper,6,2')] ).
cnf(19,plain,
c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(c_union(B,A,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[7,2]),
[iquote('hyper,7,2')] ).
cnf(53,plain,
c_lesse_quals(v_G,c_Message_Oanalz(c_union(v_G_H,A,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[13,3,4]),
[iquote('hyper,13,3,4')] ).
cnf(73,plain,
c_lesse_quals(v_H,c_Message_Oanalz(c_union(A,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[19,3,5]),
[iquote('hyper,19,3,5')] ).
cnf(99,plain,
$false,
inference(hyper,[status(thm)],[73,1,53]),
[iquote('hyper,73,1,53')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:14:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.63/1.85 ----- Otter 3.3f, August 2004 -----
% 1.63/1.85 The process was started by sandbox on n012.cluster.edu,
% 1.63/1.85 Wed Jul 27 06:14:50 2022
% 1.63/1.85 The command was "./otter". The process ID is 31522.
% 1.63/1.85
% 1.63/1.85 set(prolog_style_variables).
% 1.63/1.85 set(auto).
% 1.63/1.85 dependent: set(auto1).
% 1.63/1.85 dependent: set(process_input).
% 1.63/1.85 dependent: clear(print_kept).
% 1.63/1.85 dependent: clear(print_new_demod).
% 1.63/1.85 dependent: clear(print_back_demod).
% 1.63/1.85 dependent: clear(print_back_sub).
% 1.63/1.85 dependent: set(control_memory).
% 1.63/1.85 dependent: assign(max_mem, 12000).
% 1.63/1.85 dependent: assign(pick_given_ratio, 4).
% 1.63/1.85 dependent: assign(stats_level, 1).
% 1.63/1.85 dependent: assign(max_seconds, 10800).
% 1.63/1.85 clear(print_given).
% 1.63/1.85
% 1.63/1.85 list(usable).
% 1.63/1.85 0 [] c_lesse_quals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)).
% 1.63/1.85 0 [] c_lesse_quals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)).
% 1.63/1.85 0 [] -c_lesse_quals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))| -c_lesse_quals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)).
% 1.63/1.85 0 [] -c_lesse_quals(V_G,V_H,tc_set(tc_Message_Omsg))|c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)).
% 1.63/1.85 0 [] c_lesse_quals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)).
% 1.63/1.85 0 [] c_lesse_quals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)).
% 1.63/1.85 0 [] -c_lesse_quals(V_B,V_C,tc_set(T_a))| -c_lesse_quals(V_A,V_B,tc_set(T_a))|c_lesse_quals(V_A,V_C,tc_set(T_a)).
% 1.63/1.85 end_of_list.
% 1.63/1.85
% 1.63/1.85 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.63/1.85
% 1.63/1.85 This is a Horn set without equality. The strategy will
% 1.63/1.85 be hyperresolution, with satellites in sos and nuclei
% 1.63/1.85 in usable.
% 1.63/1.85
% 1.63/1.85 dependent: set(hyper_res).
% 1.63/1.85 dependent: clear(order_hyper).
% 1.63/1.85
% 1.63/1.85 ------------> process usable:
% 1.63/1.85 ** KEPT (pick-wt=18): 1 [] -c_lesse_quals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))| -c_lesse_quals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)).
% 1.63/1.85 ** KEPT (pick-wt=12): 2 [] -c_lesse_quals(A,B,tc_set(tc_Message_Omsg))|c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_set(tc_Message_Omsg)).
% 1.63/1.85 ** KEPT (pick-wt=15): 3 [] -c_lesse_quals(A,B,tc_set(C))| -c_lesse_quals(D,A,tc_set(C))|c_lesse_quals(D,B,tc_set(C)).
% 1.63/1.85
% 1.63/1.85 ------------> process sos:
% 1.63/1.85 ** KEPT (pick-wt=6): 4 [] c_lesse_quals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)).
% 1.63/1.85 ** KEPT (pick-wt=6): 5 [] c_lesse_quals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)).
% 1.63/1.85 ** KEPT (pick-wt=8): 6 [] c_lesse_quals(A,c_union(A,B,C),tc_set(C)).
% 1.63/1.85 ** KEPT (pick-wt=8): 7 [] c_lesse_quals(A,c_union(B,A,C),tc_set(C)).
% 1.63/1.85
% 1.63/1.85 ======= end of input processing =======
% 1.63/1.85
% 1.63/1.85 =========== start of search ===========
% 1.63/1.85
% 1.63/1.85 -------- PROOF --------
% 1.63/1.85
% 1.63/1.85 -----> EMPTY CLAUSE at 0.00 sec ----> 99 [hyper,73,1,53] $F.
% 1.63/1.85
% 1.63/1.85 Length of proof is 4. Level of proof is 2.
% 1.63/1.85
% 1.63/1.85 ---------------- PROOF ----------------
% 1.63/1.85 % SZS status Unsatisfiable
% 1.63/1.85 % SZS output start Refutation
% See solution above
% 1.63/1.85 ------------ end of proof -------------
% 1.63/1.85
% 1.63/1.85
% 1.63/1.85 Search stopped by max_proofs option.
% 1.63/1.85
% 1.63/1.85
% 1.63/1.85 Search stopped by max_proofs option.
% 1.63/1.85
% 1.63/1.85 ============ end of search ============
% 1.63/1.85
% 1.63/1.85 -------------- statistics -------------
% 1.63/1.85 clauses given 17
% 1.63/1.85 clauses generated 110
% 1.63/1.85 clauses kept 98
% 1.63/1.85 clauses forward subsumed 18
% 1.63/1.85 clauses back subsumed 0
% 1.63/1.85 Kbytes malloced 976
% 1.63/1.85
% 1.63/1.85 ----------- times (seconds) -----------
% 1.63/1.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.85 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.63/1.85
% 1.63/1.85 That finishes the proof of the theorem.
% 1.63/1.85
% 1.63/1.85 Process 31522 finished Wed Jul 27 06:14:52 2022
% 1.63/1.85 Otter interrupted
% 1.63/1.85 PROOF FOUND
%------------------------------------------------------------------------------