TSTP Solution File: RNG001-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 20:40:52 EDT 2022

% Result   : Unsatisfiable 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon May 30 19:20:42 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.34  ----- Otter 3.2, August 2001 -----
% 0.12/0.34  The process was started by sandbox2 on n025.cluster.edu,
% 0.12/0.34  Mon May 30 19:20:42 2022
% 0.12/0.34  The command was "./sos".  The process ID is 12736.
% 0.12/0.34  
% 0.12/0.34  set(prolog_style_variables).
% 0.12/0.34  set(auto).
% 0.12/0.34     dependent: set(auto1).
% 0.12/0.34     dependent: set(process_input).
% 0.12/0.34     dependent: clear(print_kept).
% 0.12/0.34     dependent: clear(print_new_demod).
% 0.12/0.34     dependent: clear(print_back_demod).
% 0.12/0.34     dependent: clear(print_back_sub).
% 0.12/0.34     dependent: set(control_memory).
% 0.12/0.34     dependent: assign(max_mem, 12000).
% 0.12/0.34     dependent: assign(pick_given_ratio, 4).
% 0.12/0.34     dependent: assign(stats_level, 1).
% 0.12/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34     dependent: assign(sos_limit, 5000).
% 0.12/0.34     dependent: assign(max_weight, 60).
% 0.12/0.34  clear(print_given).
% 0.12/0.34  
% 0.12/0.34  list(usable).
% 0.12/0.34  
% 0.12/0.34  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=5.
% 0.12/0.34  
% 0.12/0.34  This is a Horn set with equality.  The strategy will be
% 0.12/0.34  Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.34  sos and nonpositive clauses in usable.
% 0.12/0.34  
% 0.12/0.34     dependent: set(knuth_bendix).
% 0.12/0.34     dependent: set(para_from).
% 0.12/0.34     dependent: set(para_into).
% 0.12/0.34     dependent: clear(para_from_right).
% 0.12/0.34     dependent: clear(para_into_right).
% 0.12/0.34     dependent: set(para_from_vars).
% 0.12/0.34     dependent: set(eq_units_both_ways).
% 0.12/0.34     dependent: set(dynamic_demod_all).
% 0.12/0.34     dependent: set(dynamic_demod).
% 0.12/0.34     dependent: set(order_eq).
% 0.12/0.34     dependent: set(back_demod).
% 0.12/0.34     dependent: set(lrpo).
% 0.12/0.34     dependent: set(hyper_res).
% 0.12/0.34     dependent: clear(order_hyper).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34    Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] {-} A=A.
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.18/0.40  
% 0.18/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.40  
% 0.18/0.40  Stopped by limit on number of solutions
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  -------------- Softie stats --------------
% 0.18/0.40  
% 0.18/0.40  UPDATE_STOP: 300
% 0.18/0.40  SFINDER_TIME_LIMIT: 2
% 0.18/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.40  number of clauses in intial UL: 14
% 0.18/0.40  number of clauses initially in problem: 21
% 0.18/0.40  percentage of clauses intially in UL: 66
% 0.18/0.40  percentage of distinct symbols occuring in initial UL: 62
% 0.18/0.40  percent of all initial clauses that are short: 100
% 0.18/0.40  absolute distinct symbol count: 8
% 0.18/0.40     distinct predicate count: 3
% 0.18/0.40     distinct function count: 3
% 0.18/0.40     distinct constant count: 2
% 0.18/0.40  
% 0.18/0.40  ---------- no more Softie stats ----------
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.40  
% 0.18/0.40  Stopped by limit on number of solutions
% 0.18/0.40  
% 0.18/0.40  =========== start of search ===========
% 0.59/0.78  
% 0.59/0.78  -------- PROOF -------- 
% 0.59/0.78  % SZS status Unsatisfiable
% 0.59/0.78  % SZS output start Refutation
% 0.59/0.78  
% 0.59/0.78  Model 3 (0.00 seconds, 0 Inserts)
% 0.59/0.78  
% 0.59/0.78  Stopped by limit on number of solutions
% 0.59/0.78  
% 0.59/0.78  Stopped by limit on insertions
% 0.59/0.78  
% 0.59/0.78  Model 4 [ 4 1 640 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.78  
% 0.59/0.78  Model 5 [ 2 2 1805 ] (0.00 seconds, 14464 Inserts)
% 0.59/0.78  
% 0.59/0.78  Stopped by limit on insertions
% 0.59/0.78  
% 0.59/0.78  Model 6 [ 6 2 1030 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.78  
% 0.59/0.78  Stopped by limit on insertions
% 0.59/0.78  
% 0.59/0.78  Model 7 [ 4 10 117370 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.78  
% 0.59/0.78  ----> UNIT CONFLICT at   0.41 sec ----> 87 [binary,86.1,14.1] {-} $F.
% 0.59/0.78  
% 0.59/0.78  Length of proof is 3.  Level of proof is 3.
% 0.59/0.78  
% 0.59/0.78  ---------------- PROOF ----------------
% 0.59/0.78  % SZS status Unsatisfiable
% 0.59/0.78  % SZS output start Refutation
% 0.59/0.78  
% 0.59/0.78  6 [] {+} -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -product(A,F,G)|sum(C,E,G).
% 0.59/0.78  7 [] {+} -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -sum(C,E,G)|product(A,F,G).
% 0.59/0.78  13 [] {+} -sum(A,B,C)| -sum(D,B,C)|A=D.
% 0.59/0.78  14 [] {+} -product(a,additive_identity,additive_identity).
% 0.59/0.78  15 [] {+} sum(additive_identity,A,A).
% 0.59/0.78  16 [] {+} sum(A,additive_identity,A).
% 0.59/0.78  17 [] {+} product(A,B,multiply(A,B)).
% 0.59/0.78  40 [hyper,17,6,17,17,15] {+} sum(multiply(A,additive_identity),multiply(A,B),multiply(A,B)).
% 0.59/0.78  83,82 [hyper,40,13,15,flip.1] {-} multiply(A,additive_identity)=additive_identity.
% 0.59/0.78  86 [hyper,40,7,17,17,16,demod,83] {-} product(A,additive_identity,additive_identity).
% 0.59/0.78  87 [binary,86.1,14.1] {-} $F.
% 0.59/0.78  
% 0.59/0.78  % SZS output end Refutation
% 0.59/0.78  ------------ end of proof -------------
% 0.59/0.78  
% 0.59/0.78  
% 0.59/0.78  Search stopped by max_proofs option.
% 0.59/0.78  
% 0.59/0.78  
% 0.59/0.78  Search stopped by max_proofs option.
% 0.59/0.78  
% 0.59/0.78  ============ end of search ============
% 0.59/0.78  
% 0.59/0.78  ----------- soft-scott stats ----------
% 0.59/0.78  
% 0.59/0.78  true clauses given           1      (14.3%)
% 0.59/0.78  false clauses given          6
% 0.59/0.78  
% 0.59/0.78        FALSE     TRUE
% 0.59/0.78     4  0         1
% 0.59/0.78     5  0         3
% 0.59/0.78     6  1         3
% 0.59/0.78     7  2         0
% 0.59/0.78     9  3         0
% 0.59/0.78    10  8         3
% 0.59/0.78    11  2         2
% 0.59/0.78    12  4         8
% 0.59/0.78    13  0         8
% 0.59/0.78    14  8         0
% 0.59/0.78  tot:  28        28      (50.0% true)
% 0.59/0.78  
% 0.59/0.78  
% 0.59/0.78  Model 7 [ 4 10 117370 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.78  
% 0.59/0.78  That finishes the proof of the theorem.
% 0.59/0.78  
% 0.59/0.78  Process 12736 finished Mon May 30 19:20:43 2022
%------------------------------------------------------------------------------