TSTP Solution File: LCL436-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:04:25 EDT 2022
% Result : Unsatisfiable 1.73s 1.90s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 0 equ; 2 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; 6 con; 0-3 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('LCL436-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) ),
file('LCL436-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,C,D),D),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,D),c_PropLog_Opl_Oop_A_N_62(A,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)),
file('LCL436-2.p',unknown),
[] ).
cnf(4,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,D,E),E),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,E),c_PropLog_Opl_Oop_A_N_62(B,D,E),E),E),E),c_PropLog_Othms(F,E),tc_PropLog_Opl(E)),
inference(hyper,[status(thm)],[3,2]),
[iquote('hyper,3,2')] ).
cnf(5,plain,
$false,
inference(binary,[status(thm)],[4,1]),
[iquote('binary,4.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.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 09:31:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.73/1.90 ----- Otter 3.3f, August 2004 -----
% 1.73/1.90 The process was started by sandbox on n019.cluster.edu,
% 1.73/1.90 Wed Jul 27 09:31:37 2022
% 1.73/1.90 The command was "./otter". The process ID is 10630.
% 1.73/1.90
% 1.73/1.90 set(prolog_style_variables).
% 1.73/1.90 set(auto).
% 1.73/1.90 dependent: set(auto1).
% 1.73/1.90 dependent: set(process_input).
% 1.73/1.90 dependent: clear(print_kept).
% 1.73/1.90 dependent: clear(print_new_demod).
% 1.73/1.90 dependent: clear(print_back_demod).
% 1.73/1.90 dependent: clear(print_back_sub).
% 1.73/1.90 dependent: set(control_memory).
% 1.73/1.90 dependent: assign(max_mem, 12000).
% 1.73/1.90 dependent: assign(pick_given_ratio, 4).
% 1.73/1.90 dependent: assign(stats_level, 1).
% 1.73/1.90 dependent: assign(max_seconds, 10800).
% 1.73/1.90 clear(print_given).
% 1.73/1.90
% 1.73/1.90 list(usable).
% 1.73/1.90 0 [] -c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.90 0 [] c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 0 [] -c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 end_of_list.
% 1.73/1.90
% 1.73/1.90 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.73/1.90
% 1.73/1.90 This is a Horn set without equality. The strategy will
% 1.73/1.90 be hyperresolution, with satellites in sos and nuclei
% 1.73/1.90 in usable.
% 1.73/1.90
% 1.73/1.90 dependent: set(hyper_res).
% 1.73/1.90 dependent: clear(order_hyper).
% 1.73/1.90
% 1.73/1.90 ------------> process usable:
% 1.73/1.90 ** KEPT (pick-wt=28): 1 [] -c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.90 ** KEPT (pick-wt=17): 2 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)).
% 1.73/1.90
% 1.73/1.90 ------------> process sos:
% 1.73/1.90 ** KEPT (pick-wt=25): 3 [] c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,C,D),D),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,D),c_PropLog_Opl_Oop_A_N_62(A,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).
% 1.73/1.90
% 1.73/1.90 ======= end of input processing =======
% 1.73/1.90
% 1.73/1.90 =========== start of search ===========
% 1.73/1.90
% 1.73/1.90 -------- PROOF --------
% 1.73/1.90
% 1.73/1.90 ----> UNIT CONFLICT at 0.00 sec ----> 5 [binary,4.1,1.1] $F.
% 1.73/1.90
% 1.73/1.90 Length of proof is 1. Level of proof is 1.
% 1.73/1.90
% 1.73/1.90 ---------------- PROOF ----------------
% 1.73/1.90 % SZS status Unsatisfiable
% 1.73/1.90 % SZS output start Refutation
% See solution above
% 1.73/1.90 ------------ end of proof -------------
% 1.73/1.90
% 1.73/1.90
% 1.73/1.90 Search stopped by max_proofs option.
% 1.73/1.90
% 1.73/1.90
% 1.73/1.90 Search stopped by max_proofs option.
% 1.73/1.90
% 1.73/1.90 ============ end of search ============
% 1.73/1.90
% 1.73/1.90 -------------- statistics -------------
% 1.73/1.90 clauses given 1
% 1.73/1.90 clauses generated 1
% 1.73/1.90 clauses kept 4
% 1.73/1.90 clauses forward subsumed 0
% 1.73/1.90 clauses back subsumed 0
% 1.73/1.90 Kbytes malloced 976
% 1.73/1.90
% 1.73/1.90 ----------- times (seconds) -----------
% 1.73/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.90 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.90
% 1.73/1.90 That finishes the proof of the theorem.
% 1.73/1.90
% 1.73/1.90 Process 10630 finished Wed Jul 27 09:31:38 2022
% 1.73/1.90 Otter interrupted
% 1.73/1.90 PROOF FOUND
%------------------------------------------------------------------------------