TSTP Solution File: LCL226-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL226-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 14:28:52 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL226-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul  3 21:44:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n026.cluster.edu,
% 0.13/0.36  Sun Jul  3 21:44:06 2022
% 0.13/0.36  The command was "./sos".  The process ID is 15252.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36  sos and nonpositive clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 2
% 0.19/0.39  number of clauses initially in problem: 11
% 0.19/0.39  percentage of clauses intially in UL: 18
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 33
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 9
% 0.19/0.39     distinct predicate count: 3
% 0.19/0.39     distinct function count: 3
% 0.19/0.39     distinct constant count: 3
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 0.19/0.44  
% 0.19/0.44  -------- PROOF -------- 
% 0.19/0.44  % SZS status Unsatisfiable
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  
% 0.19/0.44  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  Model 5 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  ----> UNIT CONFLICT at   0.06 sec ----> 389 [binary,388.1,13.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  Length of proof is 7.  Level of proof is 5.
% 0.19/0.44  
% 0.19/0.44  ---------------- PROOF ----------------
% 0.19/0.44  % SZS status Unsatisfiable
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  
% 0.19/0.44  1 [] {+} theorem(A)| -axiom(A).
% 0.19/0.44  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 0.19/0.44  3 [] {-} -theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))).
% 0.19/0.44  7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 0.19/0.44  8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 0.19/0.44  9 [] {-} implies(A,B)=or(not(A),B).
% 0.19/0.44  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 0.19/0.44  13 [back_demod,3,demod,11] {-} -theorem(implies(or(q,r),implies(implies(r,s),or(q,s)))).
% 0.19/0.44  22 [para_into,7.1.1.1.2,10.1.1,demod,11] {-} axiom(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 0.19/0.44  24 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 0.19/0.44  28 [para_into,22.1.1.1,10.1.1,demod,11] {-} axiom(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 0.19/0.44  34 [hyper,28,1] {+} theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 0.19/0.44  388 [hyper,34,2,24] {-} theorem(implies(or(A,B),implies(implies(B,C),or(A,C)))).
% 0.19/0.44  389 [binary,388.1,13.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation
% 0.19/0.44  ------------ end of proof -------------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  ============ end of search ============
% 0.19/0.44  
% 0.19/0.44  ----------- soft-scott stats ----------
% 0.19/0.44  
% 0.19/0.44  true clauses given          45      (80.4%)
% 0.19/0.44  false clauses given         11
% 0.19/0.44  
% 0.19/0.44        FALSE     TRUE
% 0.19/0.44     7  0         3
% 0.19/0.44     8  0         23
% 0.19/0.44     9  0         18
% 0.19/0.44    10  0         79
% 0.19/0.44    11  0         23
% 0.19/0.44    12  0         66
% 0.19/0.44    13  0         22
% 0.19/0.44    14  0         23
% 0.19/0.44    16  0         29
% 0.19/0.44    18  0         16
% 0.19/0.44    20  0         4
% 0.19/0.44    26  0         5
% 0.19/0.44  tot:  0         311      (100.0% true)
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Model 5 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  That finishes the proof of the theorem.
% 0.19/0.44  
% 0.19/0.44  Process 15252 finished Sun Jul  3 21:44:06 2022
%------------------------------------------------------------------------------