TSTP Solution File: HWV008-1.002 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : HWV008-1.002 : TPTP v8.1.0. Bugfixed v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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  : 600s
% DateTime : Sat Jul 16 19:12:33 EDT 2022

% Result   : Unsatisfiable 1.64s 1.82s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : HWV008-1.002 : TPTP v8.1.0. Bugfixed v2.2.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n005.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  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 21:21:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.37  ----- Otter 3.2, August 2001 -----
% 0.20/0.37  The process was started by sandbox2 on n005.cluster.edu,
% 0.20/0.37  Thu Jun 16 21:21:08 2022
% 0.20/0.37  The command was "./sos".  The process ID is 25480.
% 0.20/0.37  
% 0.20/0.37  set(prolog_style_variables).
% 0.20/0.37  set(auto).
% 0.20/0.37     dependent: set(auto1).
% 0.20/0.37     dependent: set(process_input).
% 0.20/0.37     dependent: clear(print_kept).
% 0.20/0.37     dependent: clear(print_new_demod).
% 0.20/0.37     dependent: clear(print_back_demod).
% 0.20/0.37     dependent: clear(print_back_sub).
% 0.20/0.37     dependent: set(control_memory).
% 0.20/0.37     dependent: assign(max_mem, 12000).
% 0.20/0.37     dependent: assign(pick_given_ratio, 4).
% 0.20/0.37     dependent: assign(stats_level, 1).
% 0.20/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37     dependent: assign(sos_limit, 5000).
% 0.20/0.37     dependent: assign(max_weight, 60).
% 0.20/0.37  clear(print_given).
% 0.20/0.37  
% 0.20/0.37  list(usable).
% 0.20/0.37  
% 0.20/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.20/0.37  
% 0.20/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.20/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.37  clauses in usable.
% 0.20/0.37  
% 0.20/0.37     dependent: set(knuth_bendix).
% 0.20/0.37     dependent: set(para_from).
% 0.20/0.37     dependent: set(para_into).
% 0.20/0.37     dependent: clear(para_from_right).
% 0.20/0.37     dependent: clear(para_into_right).
% 0.20/0.37     dependent: set(para_from_vars).
% 0.20/0.37     dependent: set(eq_units_both_ways).
% 0.20/0.37     dependent: set(dynamic_demod_all).
% 0.20/0.37     dependent: set(dynamic_demod).
% 0.20/0.37     dependent: set(order_eq).
% 0.20/0.37     dependent: set(back_demod).
% 0.20/0.37     dependent: set(lrpo).
% 0.20/0.37     dependent: set(hyper_res).
% 0.20/0.37     dependent: set(unit_deletion).
% 0.20/0.37     dependent: set(factor).
% 0.20/0.37  
% 0.20/0.37  ------------> process usable:
% 0.20/0.37    Following clause subsumed by 5 during input processing: 0 [] {-} -equal_value(n1,n0).
% 0.20/0.37  
% 0.20/0.37  ------------> process sos:
% 0.20/0.37  
% 0.20/0.37  ======= end of input processing =======
% 0.48/0.69  
% 0.48/0.69  Stopped by limit on insertions
% 0.48/0.69  
% 0.48/0.69  
% 0.48/0.69  Failed to model usable list: disabling FINDER
% 0.48/0.69  
% 0.48/0.69  
% 0.48/0.69  
% 0.48/0.69  -------------- Softie stats --------------
% 0.48/0.69  
% 0.48/0.69  UPDATE_STOP: 300
% 0.48/0.69  SFINDER_TIME_LIMIT: 2
% 0.48/0.69  SHORT_CLAUSE_CUTOFF: 4
% 0.48/0.69  number of clauses in intial UL: 59
% 0.48/0.69  number of clauses initially in problem: 68
% 0.48/0.69  percentage of clauses intially in UL: 86
% 0.48/0.69  percentage of distinct symbols occuring in initial UL: 100
% 0.48/0.69  percent of all initial clauses that are short: 100
% 0.48/0.69  absolute distinct symbol count: 32
% 0.48/0.69     distinct predicate count: 5
% 0.48/0.69     distinct function count: 10
% 0.48/0.69     distinct constant count: 17
% 0.48/0.69  
% 0.48/0.69  ---------- no more Softie stats ----------
% 0.48/0.69  
% 0.48/0.69  
% 0.48/0.69  
% 0.48/0.69  =========== start of search ===========
% 1.64/1.82  
% 1.64/1.82  -------- PROOF -------- 
% 1.64/1.82  % SZS status Unsatisfiable
% 1.64/1.82  % SZS output start Refutation
% 1.64/1.82  
% 1.64/1.82  Modelling stopped after 300 given clauses and 0.00 seconds
% 1.64/1.82  
% 1.64/1.82  
% 1.64/1.82  ----> UNIT CONFLICT at   1.43 sec ----> 3217 [binary,3215.1,5.1] {-} $F.
% 1.64/1.82  
% 1.64/1.82  Length of proof is 38.  Level of proof is 9.
% 1.64/1.82  
% 1.64/1.82  ---------------- PROOF ----------------
% 1.64/1.82  % SZS status Unsatisfiable
% 1.64/1.82  % SZS output start Refutation
% 1.64/1.82  
% 1.64/1.82  1 [] {+} -connection(A,B)| -value(A,C)|value(B,C).
% 1.64/1.82  2 [] {+} -connection(A,B)| -value(B,C)|value(A,C).
% 1.64/1.82  3 [] {+} -value(A,B)| -value(A,C)|equal_value(B,C).
% 1.64/1.82  4 [] {-} -equal_value(n0,n1).
% 1.64/1.82  5 [copy,4,flip.1] {+} -equal_value(n1,n0).
% 1.64/1.82  7 [] {+} -type(A,B)|mode(A,ok)|mode(A,abnormal).
% 1.64/1.82  8 [] {+} -mode(A,ok)| -type(A,and)| -value(in(B,A),n0)|value(out(n1,A),n0).
% 1.64/1.82  14 [] {+} -mode(A,ok)| -type(A,or)| -value(in(n1,A),n0)| -value(in(n2,A),n0)|value(out(n1,A),n0).
% 1.64/1.82  23 [] {+} -type(A,halfadder)|type(and2(A),and).
% 1.64/1.82  28 [] {+} -type(A,halfadder)|connection(in(n1,A),in(n1,and2(A))).
% 1.64/1.82  31 [] {+} -type(A,halfadder)|connection(out(c,A),out(n1,and2(A))).
% 1.64/1.82  35 [] {+} -type(A,fulladder)|type(h1(A),halfadder).
% 1.64/1.82  36 [] {+} -type(A,fulladder)|type(h2(A),halfadder).
% 1.64/1.82  37 [] {+} -type(A,fulladder)|type(or1(A),or).
% 1.64/1.82  39 [] {+} -type(A,fulladder)|connection(out(c,h1(A)),in(n2,or1(A))).
% 1.64/1.82  40 [] {+} -type(A,fulladder)|connection(out(c,h2(A)),in(n1,or1(A))).
% 1.64/1.82  41 [] {+} -type(A,fulladder)|connection(in(n1,A),in(n1,h2(A))).
% 1.64/1.82  42 [] {+} -type(A,fulladder)|connection(in(n2,A),in(n1,h1(A))).
% 1.64/1.82  45 [] {+} -type(A,fulladder)|connection(out(c,A),out(n1,or1(A))).
% 1.64/1.82  47 [] {+} -type(A,nbit_adder(n2))|type(f(n2,A),fulladder).
% 1.64/1.82  50 [] {+} -type(A,nbit_adder(n2))|connection(out(c,A),out(c,f(n2,A))).
% 1.64/1.82  53 [] {+} -type(A,nbit_adder(n2))|connection(in(a2,A),in(n1,f(n2,A))).
% 1.64/1.82  54 [] {+} -type(A,nbit_adder(n2))|connection(in(b2,A),in(n2,f(n2,A))).
% 1.64/1.82  57 [] {+} -mode(or1(f(n2,a)),abnormal).
% 1.64/1.82  58 [] {+} -mode(and2(h1(f(n2,a))),abnormal).
% 1.64/1.82  59 [] {+} -mode(and2(h2(f(n2,a))),abnormal).
% 1.64/1.82  61 [] {-} type(a,nbit_adder(n2)).
% 1.64/1.82  63 [] {-} value(in(a2,a),n0).
% 1.64/1.82  65 [] {-} value(in(b2,a),n0).
% 1.64/1.82  69 [] {-} value(out(c,a),n1).
% 1.64/1.82  72 [hyper,61,54] {-} connection(in(b2,a),in(n2,f(n2,a))).
% 1.64/1.82  73 [hyper,61,53] {-} connection(in(a2,a),in(n1,f(n2,a))).
% 1.64/1.82  76 [hyper,61,50] {-} connection(out(c,a),out(c,f(n2,a))).
% 1.64/1.82  79 [hyper,61,47] {-} type(f(n2,a),fulladder).
% 1.64/1.82  128 [hyper,79,45] {-} connection(out(c,f(n2,a)),out(n1,or1(f(n2,a)))).
% 1.64/1.82  131 [hyper,79,42] {-} connection(in(n2,f(n2,a)),in(n1,h1(f(n2,a)))).
% 1.64/1.82  132 [hyper,79,41] {-} connection(in(n1,f(n2,a)),in(n1,h2(f(n2,a)))).
% 1.64/1.82  133 [hyper,79,40] {-} connection(out(c,h2(f(n2,a))),in(n1,or1(f(n2,a)))).
% 1.64/1.82  134 [hyper,79,39] {-} connection(out(c,h1(f(n2,a))),in(n2,or1(f(n2,a)))).
% 1.64/1.82  136 [hyper,79,37] {-} type(or1(f(n2,a)),or).
% 1.64/1.82  137 [hyper,79,36] {-} type(h2(f(n2,a)),halfadder).
% 1.64/1.82  138 [hyper,79,35] {-} type(h1(f(n2,a)),halfadder).
% 1.64/1.82  176 [hyper,136,7,unit_del,57] {-} mode(or1(f(n2,a)),ok).
% 1.64/1.82  185 [hyper,137,31] {-} connection(out(c,h2(f(n2,a))),out(n1,and2(h2(f(n2,a))))).
% 1.64/1.82  188 [hyper,137,28] {-} connection(in(n1,h2(f(n2,a))),in(n1,and2(h2(f(n2,a))))).
% 1.64/1.82  193 [hyper,137,23] {-} type(and2(h2(f(n2,a))),and).
% 1.64/1.82  204 [hyper,138,31] {-} connection(out(c,h1(f(n2,a))),out(n1,and2(h1(f(n2,a))))).
% 1.64/1.82  207 [hyper,138,28] {-} connection(in(n1,h1(f(n2,a))),in(n1,and2(h1(f(n2,a))))).
% 1.64/1.82  212 [hyper,138,23] {-} type(and2(h1(f(n2,a))),and).
% 1.64/1.82  226 [hyper,72,1,65] {-} value(in(n2,f(n2,a)),n0).
% 1.64/1.82  284 [hyper,73,1,63] {-} value(in(n1,f(n2,a)),n0).
% 1.64/1.82  307 [hyper,193,7,unit_del,59] {-} mode(and2(h2(f(n2,a))),ok).
% 1.64/1.82  344 [hyper,212,7,unit_del,58] {-} mode(and2(h1(f(n2,a))),ok).
% 1.64/1.82  394 [hyper,76,1,69] {-} value(out(c,f(n2,a)),n1).
% 1.64/1.82  1246 [hyper,128,1,394] {-} value(out(n1,or1(f(n2,a))),n1).
% 1.64/1.82  1351 [hyper,131,1,226] {-} value(in(n1,h1(f(n2,a))),n0).
% 1.64/1.82  1370 [hyper,132,1,284] {-} value(in(n1,h2(f(n2,a))),n0).
% 1.64/1.82  2641 [hyper,188,1,1370] {-} value(in(n1,and2(h2(f(n2,a)))),n0).
% 1.64/1.82  2655 [hyper,2641,8,307,193] {-} value(out(n1,and2(h2(f(n2,a)))),n0).
% 1.64/1.82  2664 [hyper,2655,2,185] {-} value(out(c,h2(f(n2,a))),n0).
% 1.64/1.82  2674 [hyper,2664,1,133] {-} value(in(n1,or1(f(n2,a))),n0).
% 1.64/1.82  3135 [hyper,207,1,1351] {-} value(in(n1,and2(h1(f(n2,a)))),n0).
% 1.64/1.82  3149 [hyper,3135,8,344,212] {-} value(out(n1,and2(h1(f(n2,a)))),n0).
% 1.64/1.82  3158 [hyper,3149,2,204] {-} value(out(c,h1(f(n2,a))),n0).
% 1.64/1.82  3168 [hyper,3158,1,134] {-} value(in(n2,or1(f(n2,a))),n0).
% 1.64/1.82  3176 [hyper,3168,14,176,136,2674] {-} value(out(n1,or1(f(n2,a))),n0).
% 1.64/1.82  3215 [hyper,3176,3,1246] {-} equal_value(n1,n0).
% 1.64/1.82  3217 [binary,3215.1,5.1] {-} $F.
% 1.64/1.82  
% 1.64/1.82  % SZS output end Refutation
% 1.64/1.82  ------------ end of proof -------------
% 1.64/1.82  
% 1.64/1.82  
% 1.64/1.82  Search stopped by max_proofs option.
% 1.64/1.82  
% 1.64/1.82  
% 1.64/1.82  Search stopped by max_proofs option.
% 1.64/1.82  
% 1.64/1.82  ============ end of search ============
% 1.64/1.82  
% 1.64/1.82  That finishes the proof of the theorem.
% 1.64/1.82  
% 1.64/1.82  Process 25480 finished Thu Jun 16 21:21:10 2022
%------------------------------------------------------------------------------