TSTP Solution File: LCL432-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL432-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:04:24 EDT 2022
% Result : Unsatisfiable 1.98s 2.12s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('LCL432-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_PropLog_Osat(c_emptyset,A,B)
| c_in(A,c_PropLog_Othms(c_emptyset,B),tc_PropLog_Opl(B)) ),
file('LCL432-2.p',unknown),
[] ).
cnf(3,axiom,
c_PropLog_Osat(c_emptyset,v_x,t_a),
file('LCL432-2.p',unknown),
[] ).
cnf(4,plain,
c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
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
% 0.12/0.12 % Problem : LCL432-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n011.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 09:10:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.98/2.12 ----- Otter 3.3f, August 2004 -----
% 1.98/2.12 The process was started by sandbox2 on n011.cluster.edu,
% 1.98/2.12 Wed Jul 27 09:10:56 2022
% 1.98/2.12 The command was "./otter". The process ID is 30564.
% 1.98/2.12
% 1.98/2.12 set(prolog_style_variables).
% 1.98/2.12 set(auto).
% 1.98/2.12 dependent: set(auto1).
% 1.98/2.12 dependent: set(process_input).
% 1.98/2.12 dependent: clear(print_kept).
% 1.98/2.12 dependent: clear(print_new_demod).
% 1.98/2.12 dependent: clear(print_back_demod).
% 1.98/2.12 dependent: clear(print_back_sub).
% 1.98/2.12 dependent: set(control_memory).
% 1.98/2.12 dependent: assign(max_mem, 12000).
% 1.98/2.12 dependent: assign(pick_given_ratio, 4).
% 1.98/2.12 dependent: assign(stats_level, 1).
% 1.98/2.12 dependent: assign(max_seconds, 10800).
% 1.98/2.12 clear(print_given).
% 1.98/2.12
% 1.98/2.12 list(usable).
% 1.98/2.12 0 [] c_PropLog_Osat(c_emptyset,v_x,t_a).
% 1.98/2.12 0 [] -c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)).
% 1.98/2.12 0 [] -c_PropLog_Osat(c_emptyset,V_p,T_a)|c_in(V_p,c_PropLog_Othms(c_emptyset,T_a),tc_PropLog_Opl(T_a)).
% 1.98/2.12 end_of_list.
% 1.98/2.12
% 1.98/2.12 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.98/2.12
% 1.98/2.12 This is a Horn set without equality. The strategy will
% 1.98/2.12 be hyperresolution, with satellites in sos and nuclei
% 1.98/2.12 in usable.
% 1.98/2.12
% 1.98/2.12 dependent: set(hyper_res).
% 1.98/2.12 dependent: clear(order_hyper).
% 1.98/2.12
% 1.98/2.12 ------------> process usable:
% 1.98/2.12 ** KEPT (pick-wt=7): 1 [] -c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)).
% 1.98/2.12 ** KEPT (pick-wt=11): 2 [] -c_PropLog_Osat(c_emptyset,A,B)|c_in(A,c_PropLog_Othms(c_emptyset,B),tc_PropLog_Opl(B)).
% 1.98/2.12
% 1.98/2.12 ------------> process sos:
% 1.98/2.12 ** KEPT (pick-wt=4): 3 [] c_PropLog_Osat(c_emptyset,v_x,t_a).
% 1.98/2.12
% 1.98/2.12 ======= end of input processing =======
% 1.98/2.12
% 1.98/2.12 =========== start of search ===========
% 1.98/2.12
% 1.98/2.12 -------- PROOF --------
% 1.98/2.12
% 1.98/2.12 ----> UNIT CONFLICT at 0.00 sec ----> 5 [binary,4.1,1.1] $F.
% 1.98/2.12
% 1.98/2.12 Length of proof is 1. Level of proof is 1.
% 1.98/2.12
% 1.98/2.12 ---------------- PROOF ----------------
% 1.98/2.12 % SZS status Unsatisfiable
% 1.98/2.12 % SZS output start Refutation
% See solution above
% 1.98/2.12 ------------ end of proof -------------
% 1.98/2.12
% 1.98/2.12
% 1.98/2.12 Search stopped by max_proofs option.
% 1.98/2.12
% 1.98/2.12
% 1.98/2.12 Search stopped by max_proofs option.
% 1.98/2.12
% 1.98/2.12 ============ end of search ============
% 1.98/2.12
% 1.98/2.12 -------------- statistics -------------
% 1.98/2.12 clauses given 1
% 1.98/2.12 clauses generated 1
% 1.98/2.12 clauses kept 4
% 1.98/2.12 clauses forward subsumed 0
% 1.98/2.12 clauses back subsumed 0
% 1.98/2.12 Kbytes malloced 976
% 1.98/2.12
% 1.98/2.12 ----------- times (seconds) -----------
% 1.98/2.12 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.12 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.98/2.12
% 1.98/2.12 That finishes the proof of the theorem.
% 1.98/2.12
% 1.98/2.12 Process 30564 finished Wed Jul 27 09:10:57 2022
% 1.98/2.12 Otter interrupted
% 1.98/2.12 PROOF FOUND
%------------------------------------------------------------------------------