TSTP Solution File: GRP146-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP146-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 11:41:55 EDT 2022

% Result   : Unsatisfiable 0.16s 0.34s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GRP146-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.02/0.11  % Command  : sos-script %s
% 0.12/0.30  % Computer : n027.cluster.edu
% 0.12/0.30  % Model    : x86_64 x86_64
% 0.12/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30  % Memory   : 8042.1875MB
% 0.12/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Mon Jun 13 21:04:17 EDT 2022
% 0.12/0.31  % CPUTime  : 
% 0.16/0.34  
% 0.16/0.34  -------- PROOF -------- 
% 0.16/0.34  % SZS status Unsatisfiable
% 0.16/0.34  % SZS output start Refutation
% 0.16/0.34  ----- Otter 3.2, August 2001 -----
% 0.16/0.34  The process was started by sandbox2 on n027.cluster.edu,
% 0.16/0.34  Mon Jun 13 21:04:17 2022
% 0.16/0.34  The command was "./sos".  The process ID is 22596.
% 0.16/0.34  
% 0.16/0.34  set(prolog_style_variables).
% 0.16/0.34  set(auto).
% 0.16/0.34     dependent: set(auto1).
% 0.16/0.34     dependent: set(process_input).
% 0.16/0.34     dependent: clear(print_kept).
% 0.16/0.34     dependent: clear(print_new_demod).
% 0.16/0.34     dependent: clear(print_back_demod).
% 0.16/0.34     dependent: clear(print_back_sub).
% 0.16/0.34     dependent: set(control_memory).
% 0.16/0.34     dependent: assign(max_mem, 12000).
% 0.16/0.34     dependent: assign(pick_given_ratio, 4).
% 0.16/0.34     dependent: assign(stats_level, 1).
% 0.16/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.34     dependent: assign(sos_limit, 5000).
% 0.16/0.34     dependent: assign(max_weight, 60).
% 0.16/0.34  clear(print_given).
% 0.16/0.34  
% 0.16/0.34  list(usable).
% 0.16/0.34  
% 0.16/0.34  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.16/0.34  
% 0.16/0.34  All clauses are units, and equality is present; the
% 0.16/0.34  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.16/0.34  
% 0.16/0.34     dependent: set(knuth_bendix).
% 0.16/0.34     dependent: set(para_from).
% 0.16/0.34     dependent: set(para_into).
% 0.16/0.34     dependent: clear(para_from_right).
% 0.16/0.34     dependent: clear(para_into_right).
% 0.16/0.34     dependent: set(para_from_vars).
% 0.16/0.34     dependent: set(eq_units_both_ways).
% 0.16/0.34     dependent: set(dynamic_demod_all).
% 0.16/0.34     dependent: set(dynamic_demod).
% 0.16/0.34     dependent: set(order_eq).
% 0.16/0.34     dependent: set(back_demod).
% 0.16/0.34     dependent: set(lrpo).
% 0.16/0.34  
% 0.16/0.34  ------------> process usable:
% 0.16/0.34  
% 0.16/0.34  ------------> process sos:
% 0.16/0.34    Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] {-} greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 0.16/0.34    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} least_upper_bound(A,B)=least_upper_bound(B,A).
% 0.16/0.34  
% 0.16/0.34  ----> UNIT CONFLICT at   0.00 sec ----> 38 [binary,37.1,36.1] {-} $F.
% 0.16/0.34  
% 0.16/0.34  Length of proof is 2.  Level of proof is 2.
% 0.16/0.34  
% 0.16/0.34  ---------------- PROOF ----------------
% 0.16/0.34  % SZS status Unsatisfiable
% 0.16/0.34  % SZS output start Refutation
% 0.16/0.34  
% 0.16/0.34  1 [] {-} least_upper_bound(least_upper_bound(a,b),c)!=c.
% 0.16/0.34  13 [] {-} least_upper_bound(A,least_upper_bound(B,C))=least_upper_bound(least_upper_bound(A,B),C).
% 0.16/0.34  15,14 [copy,13,flip.1] {-} least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 0.16/0.34  33,32 [] {-} least_upper_bound(a,c)=c.
% 0.16/0.34  35,34 [] {-} least_upper_bound(b,c)=c.
% 0.16/0.34  36 [] {-} A=A.
% 0.16/0.34  37 [back_demod,1,demod,15,35,33] {-} c!=c.
% 0.16/0.34  38 [binary,37.1,36.1] {-} $F.
% 0.16/0.34  
% 0.16/0.34  % SZS output end Refutation
% 0.16/0.34  ------------ end of proof -------------
% 0.16/0.34  
% 0.16/0.34  
% 0.16/0.34  Search stopped by max_proofs option.
% 0.16/0.34  
% 0.16/0.34  
% 0.16/0.34  Search stopped by max_proofs option.
% 0.16/0.34  
% 0.16/0.34  ============ end of search ============
% 0.16/0.34  
% 0.16/0.34  That finishes the proof of the theorem.
% 0.16/0.34  
% 0.16/0.34  Process 22596 finished Mon Jun 13 21:04:17 2022
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