TSTP Solution File: SYN036-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 : Thu Jul 21 12:09:16 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n006.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 : Mon Jul 11 14:26:35 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 sandbox on n006.cluster.edu,
% 0.12/0.35  Mon Jul 11 14:26:35 2022
% 0.12/0.35  The command was "./sos".  The process ID is 20738.
% 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=0, equality=0, symmetry=0, max_lits=4.
% 0.12/0.35  
% 0.12/0.35  This is a non-Horn set without equality.  The strategy
% 0.12/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.18/0.38  
% 0.18/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38  
% 0.18/0.38  Stopped by limit on number of solutions
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  -------------- Softie stats --------------
% 0.18/0.38  
% 0.18/0.38  UPDATE_STOP: 300
% 0.18/0.38  SFINDER_TIME_LIMIT: 2
% 0.18/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38  number of clauses in intial UL: 31
% 0.18/0.38  number of clauses initially in problem: 36
% 0.18/0.38  percentage of clauses intially in UL: 86
% 0.18/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.38  percent of all initial clauses that are short: 100
% 0.18/0.38  absolute distinct symbol count: 20
% 0.18/0.38     distinct predicate count: 4
% 0.18/0.38     distinct function count: 2
% 0.18/0.38     distinct constant count: 14
% 0.18/0.38  
% 0.18/0.38  ---------- no more Softie stats ----------
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  =========== start of search ===========
% 0.18/0.48  
% 0.18/0.48  -------- PROOF -------- 
% 0.18/0.48  % SZS status Unsatisfiable
% 0.18/0.48  % SZS output start Refutation
% 0.18/0.48  
% 0.18/0.48  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  Model 5 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  Model 6 [ 1 0 88 ] (0.00 seconds, 429 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 7 [ 1 1 178 ] (0.00 seconds, 513 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 8 [ 2 1 287 ] (0.00 seconds, 383 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 9 [ 2 0 345 ] (0.00 seconds, 478 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 10 [ 3 0 77 ] (0.00 seconds, 473 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 11 [ 4 1 193 ] (0.00 seconds, 606 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 12 [ 4 1 675 ] (0.00 seconds, 749 Inserts)
% 0.18/0.48  
% 0.18/0.48  -----> EMPTY CLAUSE at   0.10 sec ----> 144 [hyper,143,1,100,137,94] {-} $F.
% 0.18/0.48  
% 0.18/0.48  Length of proof is 46.  Level of proof is 35.
% 0.18/0.48  
% 0.18/0.48  ---------------- PROOF ----------------
% 0.18/0.48  % SZS status Unsatisfiable
% 0.18/0.48  % SZS output start Refutation
% 0.18/0.48  
% 0.18/0.48  1 [] {+} -n2| -n9| -n6| -n10.
% 0.18/0.48  5 [] {+} -n2|n9|n6| -n10.
% 0.18/0.48  6 [] {+} n2| -n9| -n6|n10.
% 0.18/0.48  8 [] {+} -p(s8)|n8.
% 0.18/0.48  9 [] {+} -n8|p(A).
% 0.18/0.48  10 [] {+} -p(A)|n7.
% 0.18/0.48  11 [] {+} -n7|p(s7).
% 0.18/0.48  12 [] {+} -n5(A)|n6.
% 0.18/0.48  13 [] {+} -n6|n5(s6).
% 0.18/0.48  14 [] {+} -q(A)| -q(s5(A))|n5(A).
% 0.18/0.48  15 [] {+} -n5(A)| -q(A)|q(B).
% 0.18/0.48  16 [] {+} -n5(A)|q(A)| -q(B).
% 0.18/0.48  17 [] {+} -q(s4)|n4.
% 0.18/0.48  18 [] {+} -n4|q(A).
% 0.18/0.48  19 [] {+} -q(A)|n3.
% 0.18/0.48  20 [] {+} -n3|q(s3).
% 0.18/0.48  21 [] {+} -n1(A)|n2.
% 0.18/0.48  22 [] {+} -n2|n1(s2).
% 0.18/0.48  23 [] {+} -p(A)| -p(s1(A))|n1(A).
% 0.18/0.48  24 [] {+} -n1(A)| -p(A)|p(B).
% 0.18/0.48  25 [] {+} -n1(A)|p(A)| -p(B).
% 0.18/0.48  26 [] {+} -n3| -n4|n9.
% 0.18/0.48  27 [] {+} -n3|n4| -n9.
% 0.18/0.48  29 [] {+} -n7| -n8|n10.
% 0.18/0.48  30 [] {+} -n7|n8| -n10.
% 0.18/0.48  32 [] {+} n2|n9|n6|n10.
% 0.18/0.48  33 [] {+} q(A)|q(s5(A))|n5(A).
% 0.18/0.48  34 [] {+} p(A)|p(s1(A))|n1(A).
% 0.18/0.48  35 [] {+} n3|n4|n9.
% 0.18/0.48  36 [] {+} n7|n8|n10.
% 0.18/0.48  40 [hyper,34,10] {+} p(A)|n1(A)|n7.
% 0.18/0.48  44 [hyper,33,19] {+} q(A)|n5(A)|n3.
% 0.18/0.48  45 [hyper,36,9] {+} n7|n10|p(A).
% 0.18/0.48  50 [hyper,45,10,factor_simp] {+} n7|n10.
% 0.18/0.48  51 [hyper,50,11] {+} n10|p(s7).
% 0.18/0.48  55 [hyper,40,10,factor_simp] {+} n1(A)|n7.
% 0.18/0.48  57 [hyper,55,21] {+} n7|n2.
% 0.18/0.48  61 [hyper,44,19,factor_simp] {+} n5(A)|n3.
% 0.18/0.48  63 [hyper,61,12] {+} n3|n6.
% 0.18/0.48  64 [hyper,63,6,35,factor_simp] {+} n3|n2|n10|n4.
% 0.18/0.48  65 [hyper,64,18] {+} n3|n2|n10|q(A).
% 0.18/0.48  66 [hyper,65,19,factor_simp] {+} n3|n2|n10.
% 0.18/0.48  70 [hyper,66,27,32,factor_simp,factor_simp] {+} n2|n10|n4|n6.
% 0.18/0.48  71 [hyper,66,20] {+} n2|n10|q(s3).
% 0.18/0.48  72 [hyper,70,13] {+} n2|n10|n4|n5(s6).
% 0.18/0.48  75 [hyper,72,16,71,factor_simp,factor_simp] {+} n2|n10|n4|q(s6).
% 0.18/0.48  79 [hyper,75,15,72,factor_simp,factor_simp,factor_simp] {+} n2|n10|n4|q(A).
% 0.18/0.48  80 [hyper,79,17,factor_simp] {+} n2|n10|n4.
% 0.18/0.48  81 [hyper,80,26,66,factor_simp,factor_simp] {+} n2|n10|n9.
% 0.18/0.48  82 [hyper,80,18] {+} n2|n10|q(A).
% 0.18/0.48  85 [hyper,82,14,82,factor_simp,factor_simp] {+} n2|n10|n5(A).
% 0.18/0.48  86 [hyper,85,12] {+} n2|n10|n6.
% 0.18/0.48  87 [hyper,86,6,81,factor_simp,factor_simp,factor_simp,factor_simp] {+} n2|n10.
% 0.18/0.48  88 [hyper,87,22] {+} n10|n1(s2).
% 0.18/0.48  90 [hyper,88,25,51,factor_simp] {+} n10|p(s2).
% 0.18/0.48  91 [hyper,90,24,88,factor_simp] {+} n10|p(A).
% 0.18/0.48  93 [hyper,91,8] {+} n10|n8.
% 0.18/0.48  94 [hyper,93,29,50,factor_simp,factor_simp] {+} n10.
% 0.18/0.48  95 [hyper,94,30,57] {+} n8|n2.
% 0.18/0.48  97 [hyper,95,9] {+} n2|p(A).
% 0.18/0.48  98 [hyper,97,23,97,factor_simp] {+} n2|n1(A).
% 0.18/0.48  100 [hyper,98,21,factor_simp] {+} n2.
% 0.18/0.48  102 [hyper,100,5,94] {+} n9|n6.
% 0.18/0.48  103 [hyper,100,1,35,63,94,factor_simp] {+} n3|n4.
% 0.18/0.48  104 [hyper,103,18] {+} n3|q(A).
% 0.18/0.48  116 [hyper,104,19,factor_simp] {+} n3.
% 0.18/0.48  117 [hyper,116,20] {+} q(s3).
% 0.18/0.48  118 [hyper,102,27,116] {+} n6|n4.
% 0.18/0.48  125 [hyper,118,13] {+} n4|n5(s6).
% 0.18/0.48  134 [hyper,125,16,117] {+} n4|q(s6).
% 0.18/0.48  135 [hyper,134,15,125,factor_simp] {+} n4|q(A).
% 0.18/0.48  136 [hyper,135,17,factor_simp] {+} n4.
% 0.18/0.48  137 [hyper,136,26,116] {+} n9.
% 0.18/0.48  138 [hyper,136,18] {+} q(A).
% 0.18/0.48  142 [hyper,138,14,138] {+} n5(A).
% 0.18/0.48  143 [hyper,142,12] {+} n6.
% 0.18/0.48  144 [hyper,143,1,100,137,94] {-} $F.
% 0.18/0.48  
% 0.18/0.48  % SZS output end Refutation
% 0.18/0.48  ------------ end of proof -------------
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Search stopped by max_proofs option.
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Search stopped by max_proofs option.
% 0.18/0.48  
% 0.18/0.48  ============ end of search ============
% 0.18/0.48  
% 0.18/0.48  ----------- soft-scott stats ----------
% 0.18/0.48  
% 0.18/0.48  true clauses given          58      (82.9%)
% 0.18/0.48  false clauses given         12
% 0.18/0.48  
% 0.18/0.48        FALSE     TRUE
% 0.18/0.48     4  0         2
% 0.18/0.48     8  0         1
% 0.18/0.48  tot:  0         3      (100.0% true)
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Model 12 [ 4 1 675 ] (0.00 seconds, 749 Inserts)
% 0.18/0.48  
% 0.18/0.48  That finishes the proof of the theorem.
% 0.18/0.48  
% 0.18/0.48  Process 20738 finished Mon Jul 11 14:26:35 2022
%------------------------------------------------------------------------------