TSTP Solution File: SWV278-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:20:22 EDT 2022
% Result : Unsatisfiable 1.77s 1.92s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 1 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
file('SWV278-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV278-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
file('SWV278-2.p',unknown),
[] ).
cnf(6,axiom,
c_Message_OinvKey(c_Message_OinvKey(A)) = A,
file('SWV278-2.p',unknown),
[] ).
cnf(7,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),6]),
[iquote('back_demod,1,demod,6')] ).
cnf(8,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(hyper,[status(thm)],[4,2]),
[iquote('hyper,4,2')] ).
cnf(9,plain,
$false,
inference(binary,[status(thm)],[8,7]),
[iquote('binary,8.1,7.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n024.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 06:21:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.75/1.92 ----- Otter 3.3f, August 2004 -----
% 1.75/1.92 The process was started by sandbox2 on n024.cluster.edu,
% 1.75/1.92 Wed Jul 27 06:21:25 2022
% 1.75/1.92 The command was "./otter". The process ID is 16960.
% 1.75/1.92
% 1.75/1.92 set(prolog_style_variables).
% 1.75/1.92 set(auto).
% 1.75/1.92 dependent: set(auto1).
% 1.75/1.92 dependent: set(process_input).
% 1.75/1.92 dependent: clear(print_kept).
% 1.75/1.92 dependent: clear(print_new_demod).
% 1.75/1.92 dependent: clear(print_back_demod).
% 1.75/1.92 dependent: clear(print_back_sub).
% 1.75/1.92 dependent: set(control_memory).
% 1.75/1.92 dependent: assign(max_mem, 12000).
% 1.75/1.92 dependent: assign(pick_given_ratio, 4).
% 1.75/1.92 dependent: assign(stats_level, 1).
% 1.75/1.92 dependent: assign(max_seconds, 10800).
% 1.75/1.92 clear(print_given).
% 1.75/1.92
% 1.75/1.92 list(usable).
% 1.75/1.92 0 [] A=A.
% 1.75/1.92 0 [] -c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg).
% 1.75/1.92 0 [] c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg).
% 1.75/1.92 0 [] -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.92 0 [] c_Message_OinvKey(c_Message_OinvKey(V_y))=V_y.
% 1.75/1.92 end_of_list.
% 1.75/1.92
% 1.75/1.92 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.75/1.92
% 1.75/1.92 This is a Horn set with equality. The strategy will be
% 1.75/1.92 Knuth-Bendix and hyper_res, with positive clauses in
% 1.75/1.92 sos and nonpositive clauses in usable.
% 1.75/1.92
% 1.75/1.92 dependent: set(knuth_bendix).
% 1.75/1.92 dependent: set(anl_eq).
% 1.75/1.92 dependent: set(para_from).
% 1.75/1.92 dependent: set(para_into).
% 1.75/1.92 dependent: clear(para_from_right).
% 1.75/1.92 dependent: clear(para_into_right).
% 1.75/1.92 dependent: set(para_from_vars).
% 1.75/1.92 dependent: set(eq_units_both_ways).
% 1.75/1.92 dependent: set(dynamic_demod_all).
% 1.75/1.92 dependent: set(dynamic_demod).
% 1.75/1.92 dependent: set(order_eq).
% 1.75/1.92 dependent: set(back_demod).
% 1.75/1.92 dependent: set(lrpo).
% 1.75/1.92 dependent: set(hyper_res).
% 1.75/1.92 dependent: clear(order_hyper).
% 1.75/1.92
% 1.75/1.92 ------------> process usable:
% 1.75/1.92 ** KEPT (pick-wt=8): 1 [] -c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg).
% 1.75/1.92 ** KEPT (pick-wt=10): 2 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.75/1.92
% 1.75/1.92 ------------> process sos:
% 1.75/1.92 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.77/1.92 ** KEPT (pick-wt=6): 4 [] c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg).
% 1.77/1.92 ** KEPT (pick-wt=5): 5 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 1.77/1.92 ---> New Demodulator: 6 [new_demod,5] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 1.77/1.92 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.77/1.92 >>>> Starting back demodulation with 6.
% 1.77/1.92 >> back demodulating 1 with 6.
% 1.77/1.92
% 1.77/1.92 ======= end of input processing =======
% 1.77/1.92
% 1.77/1.92 =========== start of search ===========
% 1.77/1.92
% 1.77/1.92 -------- PROOF --------
% 1.77/1.92
% 1.77/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 9 [binary,8.1,7.1] $F.
% 1.77/1.92
% 1.77/1.92 Length of proof is 2. Level of proof is 1.
% 1.77/1.92
% 1.77/1.92 ---------------- PROOF ----------------
% 1.77/1.92 % SZS status Unsatisfiable
% 1.77/1.92 % SZS output start Refutation
% See solution above
% 1.77/1.92 ------------ end of proof -------------
% 1.77/1.92
% 1.77/1.92
% 1.77/1.92 Search stopped by max_proofs option.
% 1.77/1.92
% 1.77/1.92
% 1.77/1.92 Search stopped by max_proofs option.
% 1.77/1.92
% 1.77/1.92 ============ end of search ============
% 1.77/1.92
% 1.77/1.92 -------------- statistics -------------
% 1.77/1.92 clauses given 3
% 1.77/1.92 clauses generated 5
% 1.77/1.92 clauses kept 7
% 1.77/1.92 clauses forward subsumed 5
% 1.77/1.92 clauses back subsumed 0
% 1.77/1.92 Kbytes malloced 976
% 1.77/1.92
% 1.77/1.92 ----------- times (seconds) -----------
% 1.77/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.92
% 1.77/1.92 That finishes the proof of the theorem.
% 1.77/1.92
% 1.77/1.92 Process 16960 finished Wed Jul 27 06:21:26 2022
% 1.77/1.92 Otter interrupted
% 1.77/1.92 PROOF FOUND
%------------------------------------------------------------------------------