TSTP Solution File: SET819-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET819-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:14:19 EDT 2022
% Result : Unsatisfiable 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(A,c_emptyset,B),
file('SET819-2.p',unknown),
[] ).
cnf(2,axiom,
c_in(v_x(A),A,tc_set(t_a)),
file('SET819-2.p',unknown),
[] ).
cnf(3,plain,
$false,
inference(binary,[status(thm)],[2,1]),
[iquote('binary,2.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET819-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n003.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 10:49:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox2 on n003.cluster.edu,
% 1.70/1.91 Wed Jul 27 10:49:56 2022
% 1.70/1.91 The command was "./otter". The process ID is 4893.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] -c_in(V_a,c_emptyset,T_a).
% 1.70/1.91 0 [] c_in(v_x(V_U),V_U,tc_set(t_a)).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=1.
% 1.70/1.91
% 1.70/1.91 This is a Horn set without equality. The strategy will
% 1.70/1.91 be hyperresolution, with satellites in sos and nuclei
% 1.70/1.91 in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: clear(order_hyper).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=4): 1 [] -c_in(A,c_emptyset,B).
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=6): 2 [] c_in(v_x(A),A,tc_set(t_a)).
% 1.70/1.91
% 1.70/1.91 ----> UNIT CONFLICT at 0.00 sec ----> 3 [binary,2.1,1.1] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 0. Level of proof is 0.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Unsatisfiable
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 0
% 1.70/1.91 clauses generated 0
% 1.70/1.91 clauses kept 2
% 1.70/1.91 clauses forward subsumed 0
% 1.70/1.91 clauses back subsumed 0
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 4893 finished Wed Jul 27 10:49:58 2022
% 1.70/1.91 Otter interrupted
% 1.70/1.91 PROOF FOUND
%------------------------------------------------------------------------------