TSTP Solution File: COL100-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n023.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 00:42:15 EDT 2022

% Result   : Unsatisfiable 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue May 31 06:51:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n023.cluster.edu,
% 0.12/0.35  Tue May 31 06:51:56 2022
% 0.12/0.35  The command was "./sos".  The process ID is 24356.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.35  sos and nonpositive clauses in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} A=A.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Failed to model usable list: disabling FINDER
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  -------------- Softie stats --------------
% 0.19/0.41  
% 0.19/0.41  UPDATE_STOP: 300
% 0.19/0.41  SFINDER_TIME_LIMIT: 2
% 0.19/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.41  number of clauses in intial UL: 13
% 0.19/0.41  number of clauses initially in problem: 19
% 0.19/0.41  percentage of clauses intially in UL: 68
% 0.19/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.41  percent of all initial clauses that are short: 100
% 0.19/0.41  absolute distinct symbol count: 16
% 0.19/0.41     distinct predicate count: 4
% 0.19/0.41     distinct function count: 5
% 0.19/0.41     distinct constant count: 7
% 0.19/0.41  
% 0.19/0.41  ---------- no more Softie stats ----------
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  =========== start of search ===========
% 0.46/0.63  
% 0.46/0.63  -------- PROOF -------- 
% 0.46/0.63  % SZS status Unsatisfiable
% 0.46/0.63  % SZS output start Refutation
% 0.46/0.63  
% 0.46/0.63  -----> EMPTY CLAUSE at   0.26 sec ----> 3973 [hyper,3949,16,137] {-} $F.
% 0.46/0.63  
% 0.46/0.63  Length of proof is 6.  Level of proof is 4.
% 0.46/0.63  
% 0.46/0.63  ---------------- PROOF ----------------
% 0.46/0.63  % SZS status Unsatisfiable
% 0.46/0.63  % SZS output start Refutation
% 0.46/0.63  
% 0.46/0.63  10 [] {+} -member(pair(A,B),C)|member(pair(A,B),trancl(C)).
% 0.46/0.63  11 [] {+} -trans(A)| -member(pair(B,C),A)| -member(pair(C,D),A)|member(pair(B,D),A).
% 0.46/0.63  12 [] {+} -diamond(A)| -member(pair(B,C),trancl(A))| -member(pair(B,D),A)|member(pair(D,diamond_strip_lemmaD_sk1(B,C,D,A)),trancl(A)).
% 0.46/0.63  13 [] {+} -diamond(A)| -member(pair(B,C),trancl(A))| -member(pair(B,D),A)|member(pair(C,diamond_strip_lemmaD_sk1(B,C,D,A)),A).
% 0.46/0.63  14 [] {+} -member(pair(y,A),trancl(r))|member(pair(ya,sk1(A)),trancl(r)).
% 0.46/0.63  15 [] {+} -member(pair(y,A),trancl(r))|member(pair(A,sk1(A)),trancl(r)).
% 0.46/0.63  16 [] {+} -member(pair(z,A),trancl(r))| -member(pair(yp,A),trancl(r)).
% 0.46/0.63  17 [] {-} trans(trancl(A)).
% 0.46/0.63  18 [] {-} diamond(r).
% 0.46/0.63  20 [] {-} member(pair(ya,z),r).
% 0.46/0.63  21 [] {-} member(pair(y,yp),trancl(r)).
% 0.46/0.63  48 [hyper,21,15] {-} member(pair(yp,sk1(yp)),trancl(r)).
% 0.46/0.63  49 [hyper,21,14] {-} member(pair(ya,sk1(yp)),trancl(r)).
% 0.46/0.63  136 [hyper,49,13,18,20] {-} member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r).
% 0.46/0.63  137 [hyper,49,12,18,20] {-} member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)).
% 0.46/0.63  2121 [hyper,136,10] {-} member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)).
% 0.46/0.63  3949 [hyper,2121,11,17,48] {-} member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)).
% 0.46/0.63  3973 [hyper,3949,16,137] {-} $F.
% 0.46/0.63  
% 0.46/0.63  % SZS output end Refutation
% 0.46/0.63  ------------ end of proof -------------
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  Search stopped by max_proofs option.
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  Search stopped by max_proofs option.
% 0.46/0.63  
% 0.46/0.63  ============ end of search ============
% 0.46/0.63  
% 0.46/0.63  That finishes the proof of the theorem.
% 0.46/0.63  
% 0.46/0.63  Process 24356 finished Tue May 31 06:51:57 2022
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