TSTP Solution File: MSC008-2.002 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 : Sun Jul 17 22:59:15 EDT 2022

% Result   : Unsatisfiable 1.51s 1.72s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  1 16:22:34 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n026.cluster.edu,
% 0.14/0.36  Fri Jul  1 16:22:34 2022
% 0.14/0.36  The command was "./sos".  The process ID is 24351.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=6.
% 0.14/0.36  
% 0.14/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.36  clauses in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(knuth_bendix).
% 0.14/0.36     dependent: set(para_from).
% 0.14/0.36     dependent: set(para_into).
% 0.14/0.36     dependent: clear(para_from_right).
% 0.14/0.36     dependent: clear(para_into_right).
% 0.14/0.36     dependent: set(para_from_vars).
% 0.14/0.36     dependent: set(eq_units_both_ways).
% 0.14/0.36     dependent: set(dynamic_demod_all).
% 0.14/0.36     dependent: set(dynamic_demod).
% 0.14/0.36     dependent: set(order_eq).
% 0.14/0.36     dependent: set(back_demod).
% 0.14/0.36     dependent: set(lrpo).
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: set(unit_deletion).
% 0.14/0.36     dependent: set(factor).
% 0.14/0.36  
% 0.14/0.36  There is a clause for symmetry of equality, so it is
% 0.14/0.36  assumed that equality is fully axiomatized; therefore,
% 0.14/0.36  paramodulation is disabled.
% 0.14/0.36  
% 0.14/0.36     dependent: clear(para_from).
% 0.14/0.36     dependent: clear(para_into).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36    Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} eq(A,A).
% 0.14/0.36  18 back subsumes 16.
% 0.14/0.36  18 back subsumes 15.
% 0.14/0.36  18 back subsumes 14.
% 0.14/0.36  18 back subsumes 13.
% 0.14/0.36  18 back subsumes 12.
% 0.14/0.36  18 back subsumes 11.
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.21/0.40  
% 0.21/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.40  
% 0.21/0.40  Stopped by limit on number of solutions
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  -------------- Softie stats --------------
% 0.21/0.40  
% 0.21/0.40  UPDATE_STOP: 300
% 0.21/0.40  SFINDER_TIME_LIMIT: 2
% 0.21/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.40  number of clauses in intial UL: 10
% 0.21/0.40  number of clauses initially in problem: 17
% 0.21/0.40  percentage of clauses intially in UL: 58
% 0.21/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.40  percent of all initial clauses that are short: 100
% 0.21/0.40  absolute distinct symbol count: 5
% 0.21/0.40     distinct predicate count: 3
% 0.21/0.40     distinct function count: 0
% 0.21/0.40     distinct constant count: 2
% 0.21/0.40  
% 0.21/0.40  ---------- no more Softie stats ----------
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.40  
% 0.21/0.40  Stopped by limit on number of solutions
% 0.21/0.40  
% 0.21/0.40  =========== start of search ===========
% 1.51/1.72  
% 1.51/1.72  -------- PROOF -------- 
% 1.51/1.72  % SZS status Unsatisfiable
% 1.51/1.72  % SZS output start Refutation
% 1.51/1.72  
% 1.51/1.72  Model 3 (0.00 seconds, 0 Inserts)
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on number of solutions
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on insertions
% 1.51/1.72  
% 1.51/1.72  Model 4 [ 2 1 523 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on insertions
% 1.51/1.72  
% 1.51/1.72  Model 5 [ 4 1 311 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on insertions
% 1.51/1.72  
% 1.51/1.72  Model 6 [ 12 25 203733 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on insertions
% 1.51/1.72  
% 1.51/1.72  Model 7 [ 9 23 183006 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  Stopped by limit on insertions
% 1.51/1.72  
% 1.51/1.72  Model 8 [ 9 9 137353 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  ----> UNIT CONFLICT at   1.33 sec ----> 985 [binary,984.1,2.1] {-} $F.
% 1.51/1.72  
% 1.51/1.72  Length of proof is 6.  Level of proof is 5.
% 1.51/1.72  
% 1.51/1.72  ---------------- PROOF ----------------
% 1.51/1.72  % SZS status Unsatisfiable
% 1.51/1.72  % SZS output start Refutation
% 1.51/1.72  
% 1.51/1.72  1 [] {-} -eq(p1,p2).
% 1.51/1.72  2 [copy,1,flip.1] {+} -eq(p2,p1).
% 1.51/1.72  4 [] {+} -latin(A,B,C)| -latin(A,B,D)|eq(D,C).
% 1.51/1.72  7 [] {+} -greek(A,B,C)| -greek(A,B,D)|eq(D,C).
% 1.51/1.72  10 [] {+} -greek(A,B,C)| -latin(A,B,D)| -greek(E,F,C)| -latin(E,F,D)|eq(F,B)|eq(E,A).
% 1.51/1.72  17 [factor,10.5.6] {+} -greek(A,A,B)| -latin(A,A,C)| -greek(D,D,B)| -latin(D,D,C)|eq(D,A).
% 1.51/1.72  20 [] {+} latin(A,p1,B)|latin(A,p2,B).
% 1.51/1.72  21 [] {+} latin(p1,A,B)|latin(p2,A,B).
% 1.51/1.72  23 [] {+} greek(A,p1,B)|greek(A,p2,B).
% 1.51/1.72  24 [] {+} greek(p1,A,B)|greek(p2,A,B).
% 1.51/1.72  506 [hyper,24,17,23,21,20,unit_del,2,factor_simp,factor_simp] {-} greek(p2,p1,A)|latin(p1,p2,B).
% 1.51/1.72  874 [hyper,506,4,506,factor_simp] {-} greek(p2,p1,A)|eq(B,C).
% 1.51/1.72  875 [hyper,874,2] {-} greek(p2,p1,A).
% 1.51/1.72  984 [hyper,875,7,875] {-} eq(A,B).
% 1.51/1.72  985 [binary,984.1,2.1] {-} $F.
% 1.51/1.72  
% 1.51/1.72  % SZS output end Refutation
% 1.51/1.72  ------------ end of proof -------------
% 1.51/1.72  
% 1.51/1.72  
% 1.51/1.72  Search stopped by max_proofs option.
% 1.51/1.72  
% 1.51/1.72  
% 1.51/1.72  Search stopped by max_proofs option.
% 1.51/1.72  
% 1.51/1.72  ============ end of search ============
% 1.51/1.72  
% 1.51/1.72  ----------- soft-scott stats ----------
% 1.51/1.72  
% 1.51/1.72  true clauses given           0      (0.0%)
% 1.51/1.72  false clauses given         10
% 1.51/1.72  
% 1.51/1.72        FALSE     TRUE
% 1.51/1.72     8  6         0
% 1.51/1.72    11  60        78
% 1.51/1.72    12  5         5
% 1.51/1.72    19  77        43
% 1.51/1.72    22  138       130
% 1.51/1.72  tot:  286       256      (47.2% true)
% 1.51/1.72  
% 1.51/1.72  
% 1.51/1.72  Model 8 [ 9 -21 137353 ] (0.00 seconds, 250000 Inserts)
% 1.51/1.72  
% 1.51/1.72  That finishes the proof of the theorem.
% 1.51/1.72  
% 1.51/1.72  Process 24351 finished Fri Jul  1 16:22:36 2022
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