TSTP Solution File: SWV258-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV258-2 : 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 13:20:18 EDT 2022
% Result : Unsatisfiable 1.61s 1.80s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_lesse_quals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('SWV258-2.p',unknown),
[] ).
cnf(2,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('SWV258-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_lesse_quals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg))
| c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg)) ),
file('SWV258-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,C)
| ~ c_lesse_quals(D,B,tc_set(C))
| c_lesse_quals(c_insert(A,D,C),B,tc_set(C)) ),
file('SWV258-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('SWV258-2.p',unknown),
[] ).
cnf(6,axiom,
c_lesse_quals(A,A,tc_set(B)),
file('SWV258-2.p',unknown),
[] ).
cnf(9,plain,
c_lesse_quals(A,c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[6,2]),
[iquote('hyper,6,2')] ).
cnf(10,plain,
c_lesse_quals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[9,4,5]),
[iquote('hyper,9,4,5')] ).
cnf(19,plain,
c_lesse_quals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(hyper,[status(thm)],[10,3]),
[iquote('hyper,10,3')] ).
cnf(20,plain,
$false,
inference(binary,[status(thm)],[19,1]),
[iquote('binary,19.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV258-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 05:41:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.61/1.80 ----- Otter 3.3f, August 2004 -----
% 1.61/1.80 The process was started by sandbox on n014.cluster.edu,
% 1.61/1.80 Wed Jul 27 05:41:09 2022
% 1.61/1.80 The command was "./otter". The process ID is 25831.
% 1.61/1.80
% 1.61/1.80 set(prolog_style_variables).
% 1.61/1.80 set(auto).
% 1.61/1.80 dependent: set(auto1).
% 1.61/1.80 dependent: set(process_input).
% 1.61/1.80 dependent: clear(print_kept).
% 1.61/1.80 dependent: clear(print_new_demod).
% 1.61/1.80 dependent: clear(print_back_demod).
% 1.61/1.80 dependent: clear(print_back_sub).
% 1.61/1.80 dependent: set(control_memory).
% 1.61/1.80 dependent: assign(max_mem, 12000).
% 1.61/1.80 dependent: assign(pick_given_ratio, 4).
% 1.61/1.80 dependent: assign(stats_level, 1).
% 1.61/1.80 dependent: assign(max_seconds, 10800).
% 1.61/1.80 clear(print_given).
% 1.61/1.80
% 1.61/1.80 list(usable).
% 1.61/1.80 0 [] c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg).
% 1.61/1.80 0 [] -c_lesse_quals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)).
% 1.61/1.80 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)).
% 1.61/1.80 0 [] -c_lesse_quals(V_G,c_Message_Oparts(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)).
% 1.61/1.80 0 [] -c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_set(T_a))|c_lesse_quals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)).
% 1.61/1.80 0 [] c_lesse_quals(V_A,V_A,tc_set(T_a)).
% 1.61/1.80 end_of_list.
% 1.61/1.80
% 1.61/1.80 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.61/1.80
% 1.61/1.80 This is a Horn set without equality. The strategy will
% 1.61/1.80 be hyperresolution, with satellites in sos and nuclei
% 1.61/1.80 in usable.
% 1.61/1.80
% 1.61/1.80 dependent: set(hyper_res).
% 1.61/1.80 dependent: clear(order_hyper).
% 1.61/1.80
% 1.61/1.80 ------------> process usable:
% 1.61/1.80 ** KEPT (pick-wt=10): 1 [] -c_lesse_quals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)).
% 1.61/1.80 ** KEPT (pick-wt=13): 2 [] -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)).
% 1.61/1.80 ** KEPT (pick-wt=13): 3 [] -c_lesse_quals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg))|c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg)).
% 1.61/1.80 ** KEPT (pick-wt=17): 4 [] -c_in(A,B,C)| -c_lesse_quals(D,B,tc_set(C))|c_lesse_quals(c_insert(A,D,C),B,tc_set(C)).
% 1.61/1.80
% 1.61/1.80 ------------> process sos:
% 1.61/1.80 ** KEPT (pick-wt=5): 5 [] c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg).
% 1.61/1.80 ** KEPT (pick-wt=5): 6 [] c_lesse_quals(A,A,tc_set(B)).
% 1.61/1.80
% 1.61/1.80 ======= end of input processing =======
% 1.61/1.80
% 1.61/1.80 =========== start of search ===========
% 1.61/1.80
% 1.61/1.80 -------- PROOF --------
% 1.61/1.80
% 1.61/1.80 ----> UNIT CONFLICT at 0.00 sec ----> 20 [binary,19.1,1.1] $F.
% 1.61/1.80
% 1.61/1.80 Length of proof is 3. Level of proof is 3.
% 1.61/1.80
% 1.61/1.80 ---------------- PROOF ----------------
% 1.61/1.80 % SZS status Unsatisfiable
% 1.61/1.80 % SZS output start Refutation
% See solution above
% 1.61/1.80 ------------ end of proof -------------
% 1.61/1.80
% 1.61/1.80
% 1.61/1.80 Search stopped by max_proofs option.
% 1.61/1.80
% 1.61/1.80
% 1.61/1.80 Search stopped by max_proofs option.
% 1.61/1.80
% 1.61/1.80 ============ end of search ============
% 1.61/1.80
% 1.61/1.80 -------------- statistics -------------
% 1.61/1.80 clauses given 8
% 1.61/1.80 clauses generated 17
% 1.61/1.80 clauses kept 19
% 1.61/1.80 clauses forward subsumed 4
% 1.61/1.80 clauses back subsumed 0
% 1.61/1.80 Kbytes malloced 976
% 1.61/1.80
% 1.61/1.80 ----------- times (seconds) -----------
% 1.61/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.61/1.80
% 1.61/1.80 That finishes the proof of the theorem.
% 1.61/1.80
% 1.61/1.80 Process 25831 finished Wed Jul 27 05:41:10 2022
% 1.61/1.80 Otter interrupted
% 1.61/1.80 PROOF FOUND
%------------------------------------------------------------------------------