TSTP Solution File: LCL441-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL441-2 : 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 13:04:26 EDT 2022
% Result : Unsatisfiable 1.72s 1.89s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('LCL441-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,B,tc_PropLog_Opl(C))
| c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) ),
file('LCL441-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(A,c_insert(A,B,C),C),
file('LCL441-2.p',unknown),
[] ).
cnf(4,plain,
c_in(A,c_PropLog_Othms(c_insert(A,B,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)),
inference(hyper,[status(thm)],[3,2]),
[iquote('hyper,3,2')] ).
cnf(6,plain,
$false,
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL441-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:22:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.72/1.89 ----- Otter 3.3f, August 2004 -----
% 1.72/1.89 The process was started by sandbox2 on n014.cluster.edu,
% 1.72/1.89 Wed Jul 27 09:22:09 2022
% 1.72/1.89 The command was "./otter". The process ID is 11626.
% 1.72/1.89
% 1.72/1.89 set(prolog_style_variables).
% 1.72/1.89 set(auto).
% 1.72/1.89 dependent: set(auto1).
% 1.72/1.89 dependent: set(process_input).
% 1.72/1.89 dependent: clear(print_kept).
% 1.72/1.89 dependent: clear(print_new_demod).
% 1.72/1.89 dependent: clear(print_back_demod).
% 1.72/1.89 dependent: clear(print_back_sub).
% 1.72/1.89 dependent: set(control_memory).
% 1.72/1.89 dependent: assign(max_mem, 12000).
% 1.72/1.89 dependent: assign(pick_given_ratio, 4).
% 1.72/1.89 dependent: assign(stats_level, 1).
% 1.72/1.89 dependent: assign(max_seconds, 10800).
% 1.72/1.89 clear(print_given).
% 1.72/1.89
% 1.72/1.89 list(usable).
% 1.72/1.89 0 [] -c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))| -c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.72/1.89 0 [] -c_in(V_p,V_H,tc_PropLog_Opl(T_a))|c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.72/1.89 0 [] c_in(V_x,c_insert(V_x,V_B,T_a),T_a).
% 1.72/1.89 end_of_list.
% 1.72/1.89
% 1.72/1.89 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.72/1.89
% 1.72/1.89 This is a Horn set without equality. The strategy will
% 1.72/1.89 be hyperresolution, with satellites in sos and nuclei
% 1.72/1.89 in usable.
% 1.72/1.89
% 1.72/1.89 dependent: set(hyper_res).
% 1.72/1.89 dependent: clear(order_hyper).
% 1.72/1.89
% 1.72/1.89 ------------> process usable:
% 1.72/1.89 ** KEPT (pick-wt=36): 1 [] -c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))| -c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.72/1.89 ** KEPT (pick-wt=12): 2 [] -c_in(A,B,tc_PropLog_Opl(C))|c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C)).
% 1.72/1.89
% 1.72/1.89 ------------> process sos:
% 1.72/1.89 ** KEPT (pick-wt=7): 3 [] c_in(A,c_insert(A,B,C),C).
% 1.72/1.89
% 1.72/1.89 ======= end of input processing =======
% 1.72/1.89
% 1.72/1.89 =========== start of search ===========
% 1.72/1.89
% 1.72/1.89 -------- PROOF --------
% 1.72/1.89
% 1.72/1.89 -----> EMPTY CLAUSE at 0.00 sec ----> 6 [hyper,4,1,4] $F.
% 1.72/1.89
% 1.72/1.89 Length of proof is 1. Level of proof is 1.
% 1.72/1.89
% 1.72/1.89 ---------------- PROOF ----------------
% 1.72/1.89 % SZS status Unsatisfiable
% 1.72/1.89 % SZS output start Refutation
% See solution above
% 1.72/1.89 ------------ end of proof -------------
% 1.72/1.89
% 1.72/1.89
% 1.72/1.89 Search stopped by max_proofs option.
% 1.72/1.89
% 1.72/1.89
% 1.72/1.89 Search stopped by max_proofs option.
% 1.72/1.89
% 1.72/1.89 ============ end of search ============
% 1.72/1.89
% 1.72/1.89 -------------- statistics -------------
% 1.72/1.89 clauses given 2
% 1.72/1.89 clauses generated 3
% 1.72/1.89 clauses kept 5
% 1.72/1.89 clauses forward subsumed 0
% 1.72/1.89 clauses back subsumed 0
% 1.72/1.89 Kbytes malloced 976
% 1.72/1.89
% 1.72/1.89 ----------- times (seconds) -----------
% 1.72/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.89
% 1.72/1.89 That finishes the proof of the theorem.
% 1.72/1.89
% 1.72/1.89 Process 11626 finished Wed Jul 27 09:22:10 2022
% 1.72/1.89 Otter interrupted
% 1.72/1.89 PROOF FOUND
%------------------------------------------------------------------------------