TSTP Solution File: SET828-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:14:20 EDT 2022
% Result : Unsatisfiable 1.33s 1.78s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 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; 4 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,B,C)
| ~ c_lesse_quals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('SET828-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(v_x,v_Y,t_a),
file('SET828-2.p',unknown),
[] ).
cnf(3,axiom,
c_lesse_quals(v_X,v_Y,tc_set(t_a)),
file('SET828-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_x,v_X,t_a),
file('SET828-2.p',unknown),
[] ).
cnf(5,plain,
c_in(v_x,v_Y,t_a),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(6,plain,
$false,
inference(binary,[status(thm)],[5,2]),
[iquote('binary,5.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 10:47:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.33/1.78 ----- Otter 3.3f, August 2004 -----
% 1.33/1.78 The process was started by sandbox on n016.cluster.edu,
% 1.33/1.78 Wed Jul 27 10:47:22 2022
% 1.33/1.78 The command was "./otter". The process ID is 31888.
% 1.33/1.78
% 1.33/1.78 set(prolog_style_variables).
% 1.33/1.78 set(auto).
% 1.33/1.78 dependent: set(auto1).
% 1.33/1.78 dependent: set(process_input).
% 1.33/1.78 dependent: clear(print_kept).
% 1.33/1.78 dependent: clear(print_new_demod).
% 1.33/1.78 dependent: clear(print_back_demod).
% 1.33/1.78 dependent: clear(print_back_sub).
% 1.33/1.78 dependent: set(control_memory).
% 1.33/1.78 dependent: assign(max_mem, 12000).
% 1.33/1.78 dependent: assign(pick_given_ratio, 4).
% 1.33/1.78 dependent: assign(stats_level, 1).
% 1.33/1.78 dependent: assign(max_seconds, 10800).
% 1.33/1.78 clear(print_given).
% 1.33/1.78
% 1.33/1.78 list(usable).
% 1.33/1.78 0 [] -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_set(T_a))|c_in(V_c,V_B,T_a).
% 1.33/1.78 0 [] c_lesse_quals(v_X,v_Y,tc_set(t_a)).
% 1.33/1.78 0 [] c_in(v_x,v_X,t_a).
% 1.33/1.78 0 [] -c_in(v_x,v_Y,t_a).
% 1.33/1.78 end_of_list.
% 1.33/1.78
% 1.33/1.78 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.33/1.78
% 1.33/1.78 This is a Horn set without equality. The strategy will
% 1.33/1.78 be hyperresolution, with satellites in sos and nuclei
% 1.33/1.78 in usable.
% 1.33/1.78
% 1.33/1.78 dependent: set(hyper_res).
% 1.33/1.78 dependent: clear(order_hyper).
% 1.33/1.78
% 1.33/1.78 ------------> process usable:
% 1.33/1.78 ** KEPT (pick-wt=13): 1 [] -c_in(A,B,C)| -c_lesse_quals(B,D,tc_set(C))|c_in(A,D,C).
% 1.33/1.78 ** KEPT (pick-wt=4): 2 [] -c_in(v_x,v_Y,t_a).
% 1.33/1.78
% 1.33/1.78 ------------> process sos:
% 1.33/1.78 ** KEPT (pick-wt=5): 3 [] c_lesse_quals(v_X,v_Y,tc_set(t_a)).
% 1.33/1.78 ** KEPT (pick-wt=4): 4 [] c_in(v_x,v_X,t_a).
% 1.33/1.78
% 1.33/1.78 ======= end of input processing =======
% 1.33/1.78
% 1.33/1.78 =========== start of search ===========
% 1.33/1.78
% 1.33/1.78 -------- PROOF --------
% 1.33/1.78
% 1.33/1.78 ----> UNIT CONFLICT at 0.00 sec ----> 6 [binary,5.1,2.1] $F.
% 1.33/1.78
% 1.33/1.78 Length of proof is 1. Level of proof is 1.
% 1.33/1.78
% 1.33/1.78 ---------------- PROOF ----------------
% 1.33/1.78 % SZS status Unsatisfiable
% 1.33/1.78 % SZS output start Refutation
% See solution above
% 1.33/1.78 ------------ end of proof -------------
% 1.33/1.78
% 1.33/1.78
% 1.33/1.78 Search stopped by max_proofs option.
% 1.33/1.78
% 1.33/1.78
% 1.33/1.78 Search stopped by max_proofs option.
% 1.33/1.78
% 1.33/1.78 ============ end of search ============
% 1.33/1.78
% 1.33/1.78 -------------- statistics -------------
% 1.33/1.78 clauses given 2
% 1.33/1.78 clauses generated 1
% 1.33/1.78 clauses kept 5
% 1.33/1.78 clauses forward subsumed 0
% 1.33/1.78 clauses back subsumed 0
% 1.33/1.78 Kbytes malloced 976
% 1.33/1.78
% 1.33/1.78 ----------- times (seconds) -----------
% 1.33/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.33/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.33/1.78 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.33/1.78
% 1.33/1.78 That finishes the proof of the theorem.
% 1.33/1.78
% 1.33/1.78 Process 31888 finished Wed Jul 27 10:47:23 2022
% 1.33/1.78 Otter interrupted
% 1.33/1.78 PROOF FOUND
%------------------------------------------------------------------------------