TSTP Solution File: COL064-11 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COL064-11 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 : Fri Jul 15 00:42:09 EDT 2022

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COL064-11 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue May 31 14:21:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n022.cluster.edu,
% 0.13/0.37  Tue May 31 14:21:52 2022
% 0.13/0.37  The command was "./sos".  The process ID is 12003.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.13/0.37  
% 0.13/0.37  All clauses are units, and equality is present; the
% 0.13/0.37  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.13/0.37    Following clause subsumed by 4 during input processing: 0 [copy,7,flip.1] {-} apply(apply(t,A),B)=apply(B,A).
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  -------------- Softie stats --------------
% 0.13/0.39  
% 0.13/0.39  UPDATE_STOP: 300
% 0.13/0.39  SFINDER_TIME_LIMIT: 2
% 0.13/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39  number of clauses in intial UL: 0
% 0.13/0.39  number of clauses initially in problem: 6
% 0.13/0.39  percentage of clauses intially in UL: 0
% 0.13/0.39  percentage of distinct symbols occuring in initial UL: 0
% 0.13/0.39  percent of all initial clauses that are short: 100
% 0.13/0.39  absolute distinct symbol count: 7
% 0.13/0.39     distinct predicate count: 1
% 0.13/0.39     distinct function count: 1
% 0.13/0.39     distinct constant count: 5
% 0.13/0.39  
% 0.13/0.39  ---------- no more Softie stats ----------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  =========== start of search ===========
% 0.13/0.40  
% 0.13/0.40  -------- PROOF -------- 
% 0.13/0.40  % SZS status Unsatisfiable
% 0.13/0.40  % SZS output start Refutation
% 0.13/0.40  
% 0.13/0.40  ----> UNIT CONFLICT at   0.02 sec ----> 128 [binary,127.1,7.1] {-} $F.
% 0.13/0.40  
% 0.13/0.40  Length of proof is 10.  Level of proof is 5.
% 0.13/0.40  
% 0.13/0.40  ---------------- PROOF ----------------
% 0.13/0.40  % SZS status Unsatisfiable
% 0.13/0.40  % SZS output start Refutation
% 0.13/0.40  
% 0.13/0.40  1 [] {-} apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z)!=apply(apply(z,x),y).
% 0.13/0.40  3,2 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.13/0.40  4 [] {-} apply(apply(t,A),B)=apply(B,A).
% 0.13/0.40  6 [back_demod,1,demod,3,3,3] {-} apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,apply(t,x)))),y),z)!=apply(apply(z,x),y).
% 0.13/0.40  7 [copy,4,flip.1] {-} apply(A,B)=apply(apply(t,B),A).
% 0.13/0.40  12 [para_from,7.1.1,4.1.1.1] {-} apply(apply(apply(t,A),t),B)=apply(B,A).
% 0.13/0.40  14,13 [para_from,7.1.1,2.1.1.1] {-} apply(apply(apply(t,A),apply(b,B)),C)=apply(B,apply(A,C)).
% 0.13/0.40  17 [copy,12,flip.1] {-} apply(A,B)=apply(apply(apply(t,B),t),A).
% 0.13/0.40  18 [back_demod,6,demod,14,3,14,flip.1] {-} apply(apply(z,x),y)!=apply(apply(t,y),apply(apply(t,x),z)).
% 0.13/0.40  29 [para_into,12.1.1.1.1,7.1.1] {-} apply(apply(apply(apply(t,A),t),t),B)=apply(B,A).
% 0.13/0.40  30 [copy,29,flip.1] {-} apply(A,B)=apply(apply(apply(apply(t,B),t),t),A).
% 0.13/0.40  34,33 [para_into,17.1.1,7.1.1,flip.1] {-} apply(apply(apply(t,A),t),B)=apply(apply(t,A),B).
% 0.13/0.40  127 [para_into,18.1.1.1,30.1.1,demod,34,34] {-} apply(apply(apply(t,x),z),y)!=apply(apply(t,y),apply(apply(t,x),z)).
% 0.13/0.40  128 [binary,127.1,7.1] {-} $F.
% 0.13/0.40  
% 0.13/0.40  % SZS output end Refutation
% 0.13/0.40  ------------ end of proof -------------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Search stopped by max_proofs option.
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Search stopped by max_proofs option.
% 0.13/0.40  
% 0.13/0.40  ============ end of search ============
% 0.13/0.40  
% 0.13/0.40  ----------- soft-scott stats ----------
% 0.13/0.40  
% 0.13/0.40  true clauses given           1      (5.6%)
% 0.13/0.40  false clauses given         17
% 0.13/0.40  
% 0.13/0.40        FALSE     TRUE
% 0.13/0.40    15  3         0
% 0.13/0.40    17  19        0
% 0.13/0.40    19  13        0
% 0.13/0.40    21  23        1
% 0.13/0.40    23  25        0
% 0.13/0.40    27  2         1
% 0.13/0.40    29  2         1
% 0.13/0.40  tot:  87        3      (3.3% true)
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  That finishes the proof of the theorem.
% 0.13/0.40  
% 0.13/0.40  Process 12003 finished Tue May 31 14:21:52 2022
%------------------------------------------------------------------------------