TSTP Solution File: SET776+4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 05:20:34 EDT 2022

% Result   : Theorem 1.51s 1.73s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n026.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 : Mon Jul 11 08:52:27 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 n026.cluster.edu,
% 0.13/0.37  Mon Jul 11 08:52:27 2022
% 0.13/0.37  The command was "./sos".  The process ID is 7971.
% 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  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.13/0.37  
% 0.13/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37  clauses in usable.
% 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     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37     dependent: set(factor).
% 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 155 during input processing: 0 [copy,155,flip.1] {-} A=A.
% 0.13/0.37  155 back subsumes 118.
% 0.13/0.37  155 back subsumes 111.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Failed to model usable list: disabling FINDER
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  -------------- Softie stats --------------
% 0.20/0.46  
% 0.20/0.46  UPDATE_STOP: 300
% 0.20/0.46  SFINDER_TIME_LIMIT: 2
% 0.20/0.46  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.46  number of clauses in intial UL: 112
% 0.20/0.46  number of clauses initially in problem: 149
% 0.20/0.46  percentage of clauses intially in UL: 75
% 0.20/0.46  percentage of distinct symbols occuring in initial UL: 93
% 0.20/0.46  percent of all initial clauses that are short: 100
% 0.20/0.46  absolute distinct symbol count: 46
% 0.20/0.46     distinct predicate count: 9
% 0.20/0.46     distinct function count: 29
% 0.20/0.46     distinct constant count: 8
% 0.20/0.46  
% 0.20/0.46  ---------- no more Softie stats ----------
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  =========== start of search ===========
% 1.51/1.73  
% 1.51/1.73  -------- PROOF -------- 
% 1.51/1.73  % SZS status Theorem
% 1.51/1.73  % SZS output start Refutation
% 1.51/1.73  
% 1.51/1.73  ----> UNIT CONFLICT at   1.33 sec ----> 5034 [binary,5033.1,104.1] {-} $F.
% 1.51/1.73  
% 1.51/1.73  Length of proof is 4.  Level of proof is 3.
% 1.51/1.73  
% 1.51/1.73  ---------------- PROOF ----------------
% 1.51/1.73  % SZS status Theorem
% 1.51/1.73  % SZS output start Refutation
% 1.51/1.73  
% 1.51/1.73  93 [] {+} -pre_order(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 1.51/1.73  101 [] {+} -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,A,B).
% 1.51/1.73  102 [] {+} -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,B,A).
% 1.51/1.73  104 [] {+} -apply($c6,$c2,$c1).
% 1.51/1.73  147 [] {-} pre_order($c6,$c7).
% 1.51/1.73  148 [] {-} member($c4,$c7).
% 1.51/1.73  149 [] {-} member($c3,$c7).
% 1.51/1.73  150 [] {-} member($c2,$c7).
% 1.51/1.73  151 [] {-} member($c1,$c7).
% 1.51/1.73  152 [] {-} apply($c5,$c4,$c2).
% 1.51/1.73  153 [] {-} apply($c5,$c3,$c1).
% 1.51/1.73  154 [] {-} apply($c6,$c4,$c3).
% 1.51/1.73  859 [hyper,152,102,148,150] {-} apply($c6,$c2,$c4).
% 1.51/1.73  993 [hyper,153,101,149,151] {-} apply($c6,$c3,$c1).
% 1.51/1.73  2861 [hyper,859,93,147,150,148,149,154] {-} apply($c6,$c2,$c3).
% 1.51/1.73  5033 [hyper,2861,93,147,150,149,151,993] {-} apply($c6,$c2,$c1).
% 1.51/1.73  5034 [binary,5033.1,104.1] {-} $F.
% 1.51/1.73  
% 1.51/1.73  % SZS output end Refutation
% 1.51/1.73  ------------ end of proof -------------
% 1.51/1.73  
% 1.51/1.73  
% 1.51/1.73  Search stopped by max_proofs option.
% 1.51/1.73  
% 1.51/1.73  
% 1.51/1.73  Search stopped by max_proofs option.
% 1.51/1.73  
% 1.51/1.73  ============ end of search ============
% 1.51/1.73  
% 1.51/1.73  That finishes the proof of the theorem.
% 1.51/1.73  
% 1.51/1.73  Process 7971 finished Mon Jul 11 08:52:28 2022
%------------------------------------------------------------------------------