TSTP Solution File: NUM551+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n014.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 : Mon Jul 18 14:19:26 EDT 2022

% Result   : Theorem 0.44s 0.67s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command  : sos-script %s
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul  5 16:10:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.35  ----- Otter 3.2, August 2001 -----
% 0.11/0.35  The process was started by sandbox on n014.cluster.edu,
% 0.11/0.35  Tue Jul  5 16:10:08 2022
% 0.11/0.35  The command was "./sos".  The process ID is 28135.
% 0.11/0.35  
% 0.11/0.35  set(prolog_style_variables).
% 0.11/0.35  set(auto).
% 0.11/0.35     dependent: set(auto1).
% 0.11/0.35     dependent: set(process_input).
% 0.11/0.35     dependent: clear(print_kept).
% 0.11/0.35     dependent: clear(print_new_demod).
% 0.11/0.35     dependent: clear(print_back_demod).
% 0.11/0.35     dependent: clear(print_back_sub).
% 0.11/0.35     dependent: set(control_memory).
% 0.11/0.35     dependent: assign(max_mem, 12000).
% 0.11/0.35     dependent: assign(pick_given_ratio, 4).
% 0.11/0.35     dependent: assign(stats_level, 1).
% 0.11/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.35     dependent: assign(sos_limit, 5000).
% 0.11/0.35     dependent: assign(max_weight, 60).
% 0.11/0.35  clear(print_given).
% 0.11/0.35  
% 0.11/0.35  formula_list(usable).
% 0.11/0.35  
% 0.11/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.11/0.35  
% 0.11/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.11/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.35  clauses in usable.
% 0.11/0.35  
% 0.11/0.35     dependent: set(knuth_bendix).
% 0.11/0.35     dependent: set(para_from).
% 0.11/0.35     dependent: set(para_into).
% 0.11/0.35     dependent: clear(para_from_right).
% 0.11/0.35     dependent: clear(para_into_right).
% 0.11/0.35     dependent: set(para_from_vars).
% 0.11/0.35     dependent: set(eq_units_both_ways).
% 0.11/0.35     dependent: set(dynamic_demod_all).
% 0.11/0.35     dependent: set(dynamic_demod).
% 0.11/0.35     dependent: set(order_eq).
% 0.11/0.35     dependent: set(back_demod).
% 0.11/0.35     dependent: set(lrpo).
% 0.11/0.35     dependent: set(hyper_res).
% 0.11/0.35     dependent: set(unit_deletion).
% 0.11/0.35     dependent: set(factor).
% 0.11/0.35  
% 0.11/0.35  ------------> process usable:
% 0.11/0.35    Following clause subsumed by 103 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|aSet0(A).
% 0.11/0.35    Following clause subsumed by 104 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))| -aElementOf0(B,A)|aElementOf0(B,xS).
% 0.11/0.35    Following clause subsumed by 105 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|aSubsetOf0(A,xS).
% 0.11/0.35    Following clause subsumed by 106 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|sbrdtbr0(A)=xk.
% 0.11/0.35    Following clause subsumed by 109 during input processing: 0 [] {-} -aSubsetOf0(A,xS)|sbrdtbr0(A)!=xk|aElementOf0(A,slbdtsldtrb0(xS,xk)).
% 0.11/0.35  132 back subsumes 131.
% 0.11/0.35  
% 0.11/0.35  ------------> process sos:
% 0.11/0.35    Following clause subsumed by 167 during input processing: 0 [] {-} aSet0(xQ).
% 0.11/0.35    Following clause subsumed by 176 during input processing: 0 [copy,174,flip.1] {-} xk=xk.
% 0.11/0.35    Following clause subsumed by 176 during input processing: 0 [copy,176,flip.1] {-} A=A.
% 0.11/0.35  176 back subsumes 174.
% 0.11/0.35  176 back subsumes 142.
% 0.11/0.35  176 back subsumes 137.
% 0.11/0.35  176 back subsumes 136.
% 0.11/0.35  176 back subsumes 134.
% 0.11/0.35  176 back subsumes 130.
% 0.11/0.35  176 back subsumes 124.
% 0.11/0.35  
% 0.11/0.35  ======= end of input processing =======
% 0.34/0.55  
% 0.34/0.55  Stopped by limit on insertions
% 0.34/0.55  
% 0.34/0.55  
% 0.34/0.55  Failed to model usable list: disabling FINDER
% 0.34/0.55  
% 0.34/0.55  
% 0.34/0.55  
% 0.34/0.55  -------------- Softie stats --------------
% 0.34/0.55  
% 0.34/0.55  UPDATE_STOP: 300
% 0.34/0.55  SFINDER_TIME_LIMIT: 2
% 0.34/0.55  SHORT_CLAUSE_CUTOFF: 4
% 0.34/0.55  number of clauses in intial UL: 143
% 0.34/0.55  number of clauses initially in problem: 165
% 0.34/0.55  percentage of clauses intially in UL: 86
% 0.34/0.55  percentage of distinct symbols occuring in initial UL: 92
% 0.34/0.55  percent of all initial clauses that are short: 100
% 0.34/0.55  absolute distinct symbol count: 41
% 0.34/0.55     distinct predicate count: 9
% 0.34/0.55     distinct function count: 22
% 0.34/0.55     distinct constant count: 10
% 0.34/0.55  
% 0.34/0.55  ---------- no more Softie stats ----------
% 0.34/0.55  
% 0.34/0.55  
% 0.34/0.55  
% 0.34/0.55  =========== start of search ===========
% 0.44/0.67  
% 0.44/0.67  -------- PROOF -------- 
% 0.44/0.67  % SZS status Theorem
% 0.44/0.67  % SZS output start Refutation
% 0.44/0.67  
% 0.44/0.67  -----> EMPTY CLAUSE at   0.30 sec ----> 1951 [hyper,1847,123,175] {-} $F.
% 0.44/0.67  
% 0.44/0.67  Length of proof is 1.  Level of proof is 1.
% 0.44/0.67  
% 0.44/0.67  ---------------- PROOF ----------------
% 0.44/0.67  % SZS status Theorem
% 0.44/0.67  % SZS output start Refutation
% 0.44/0.67  
% 0.44/0.67  1 [] {+} -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 0.44/0.67  123 [] {+} -aElement0(A)| -aElementOf0(A,xQ).
% 0.44/0.67  167 [] {-} aSet0(xQ).
% 0.44/0.67  175 [] {-} aElementOf0($c2,xQ).
% 0.44/0.67  1847 [hyper,175,1,167] {-} aElement0($c2).
% 0.44/0.67  1951 [hyper,1847,123,175] {-} $F.
% 0.44/0.67  
% 0.44/0.67  % SZS output end Refutation
% 0.44/0.67  ------------ end of proof -------------
% 0.44/0.67  
% 0.44/0.67  
% 0.44/0.67  Search stopped by max_proofs option.
% 0.44/0.67  
% 0.44/0.67  
% 0.44/0.67  Search stopped by max_proofs option.
% 0.44/0.67  
% 0.44/0.67  ============ end of search ============
% 0.44/0.67  
% 0.44/0.67  That finishes the proof of the theorem.
% 0.44/0.67  
% 0.44/0.67  Process 28135 finished Tue Jul  5 16:10:08 2022
%------------------------------------------------------------------------------