TSTP Solution File: LCL189-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 14:28:29 EDT 2022

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL189-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 19:59:30 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 n020.cluster.edu,
% 0.13/0.37  Sun Jul  3 19:59:30 2022
% 0.13/0.37  The command was "./sos".  The process ID is 1238.
% 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  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.37  sos and nonpositive 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: clear(order_hyper).
% 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 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.21/0.41  
% 0.21/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  -------------- Softie stats --------------
% 0.21/0.41  
% 0.21/0.41  UPDATE_STOP: 300
% 0.21/0.41  SFINDER_TIME_LIMIT: 2
% 0.21/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41  number of clauses in intial UL: 2
% 0.21/0.41  number of clauses initially in problem: 11
% 0.21/0.41  percentage of clauses intially in UL: 18
% 0.21/0.41  percentage of distinct symbols occuring in initial UL: 37
% 0.21/0.41  percent of all initial clauses that are short: 100
% 0.21/0.41  absolute distinct symbol count: 8
% 0.21/0.41     distinct predicate count: 3
% 0.21/0.41     distinct function count: 3
% 0.21/0.41     distinct constant count: 2
% 0.21/0.41  
% 0.21/0.41  ---------- no more Softie stats ----------
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  =========== start of search ===========
% 0.21/0.59  
% 0.21/0.59  -------- PROOF -------- 
% 0.21/0.59  % SZS status Unsatisfiable
% 0.21/0.59  % SZS output start Refutation
% 0.21/0.59  
% 0.21/0.59  Model 3 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  Stopped by limit on number of solutions
% 0.21/0.59  
% 0.21/0.59  Model 4 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  Stopped by limit on number of solutions
% 0.21/0.59  
% 0.21/0.59  Model 5 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  Stopped by limit on number of solutions
% 0.21/0.59  
% 0.21/0.59  ----> UNIT CONFLICT at   0.18 sec ----> 1690 [binary,1689.1,13.1] {-} $F.
% 0.21/0.59  
% 0.21/0.59  Length of proof is 21.  Level of proof is 14.
% 0.21/0.59  
% 0.21/0.59  ---------------- PROOF ----------------
% 0.21/0.59  % SZS status Unsatisfiable
% 0.21/0.59  % SZS output start Refutation
% 0.21/0.59  
% 0.21/0.59  1 [] {+} theorem(A)| -axiom(A).
% 0.21/0.59  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 0.21/0.59  3 [] {-} -theorem(or(not(p),implies(implies(p,q),q))).
% 0.21/0.59  4 [] {+} axiom(implies(or(A,A),A)).
% 0.21/0.59  5 [] {+} axiom(implies(A,or(B,A))).
% 0.21/0.59  6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 0.21/0.59  7 [] {+} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 0.21/0.59  9 [] {-} implies(A,B)=or(not(A),B).
% 0.21/0.59  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 0.21/0.59  13 [back_demod,3,demod,11] {-} -theorem(implies(p,implies(implies(p,q),q))).
% 0.21/0.59  14 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 0.21/0.59  15 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 0.21/0.59  16 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 0.21/0.59  21 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 0.21/0.59  36 [para_into,16.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 0.21/0.59  37 [para_into,16.1.1.2,10.1.1] {+} theorem(implies(or(A,not(B)),implies(B,A))).
% 0.21/0.59  64 [para_into,21.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 0.21/0.59  74 [hyper,36,2,15] {+} theorem(or(or(A,B),not(B))).
% 0.21/0.59  80 [hyper,74,2,15] {+} theorem(or(A,or(or(B,C),not(C)))).
% 0.21/0.59  128 [hyper,80,2,21] {+} theorem(or(or(A,B),or(C,not(B)))).
% 0.21/0.59  166 [hyper,128,2,16] {+} theorem(or(or(A,not(B)),or(C,B))).
% 0.21/0.59  196 [hyper,166,2,21] {+} theorem(or(A,or(or(B,not(C)),C))).
% 0.21/0.59  223 [hyper,196,2,14] {+} theorem(or(or(A,not(B)),B)).
% 0.21/0.59  233 [hyper,223,2,16] {+} theorem(or(A,or(B,not(A)))).
% 0.21/0.59  237 [hyper,233,2,21] {+} theorem(or(A,or(B,not(B)))).
% 0.21/0.59  248 [hyper,237,2,14] {+} theorem(or(A,not(A))).
% 0.21/0.59  255 [hyper,248,2,37] {+} theorem(implies(A,A)).
% 0.21/0.59  1521 [hyper,64,2,255] {+} theorem(or(A,implies(or(A,B),B))).
% 0.21/0.59  1689 [para_into,1521.1.1.2.1,10.1.1,demod,11] {-} theorem(implies(A,implies(implies(A,B),B))).
% 0.21/0.59  1690 [binary,1689.1,13.1] {-} $F.
% 0.21/0.59  
% 0.21/0.59  % SZS output end Refutation
% 0.21/0.59  ------------ end of proof -------------
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Search stopped by max_proofs option.
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Search stopped by max_proofs option.
% 0.21/0.59  
% 0.21/0.59  ============ end of search ============
% 0.21/0.59  
% 0.21/0.59  ----------- soft-scott stats ----------
% 0.21/0.59  
% 0.21/0.59  true clauses given         174      (97.2%)
% 0.21/0.59  false clauses given          5
% 0.21/0.59  
% 0.21/0.59        FALSE     TRUE
% 0.21/0.59     8  0         1
% 0.21/0.59     9  0         8
% 0.21/0.59    10  0         141
% 0.21/0.59    11  0         217
% 0.21/0.59    12  0         300
% 0.21/0.59    13  0         433
% 0.21/0.59    14  0         146
% 0.21/0.59    15  0         4
% 0.21/0.59    16  0         42
% 0.21/0.59    18  0         55
% 0.21/0.59    20  0         70
% 0.21/0.59    22  0         21
% 0.21/0.59    26  0         4
% 0.21/0.59    30  0         2
% 0.21/0.59  tot:  0         1444      (100.0% true)
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Model 5 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  That finishes the proof of the theorem.
% 0.21/0.59  
% 0.21/0.59  Process 1238 finished Sun Jul  3 19:59:30 2022
%------------------------------------------------------------------------------