TSTP Solution File: KRS116+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 03:29:48 EDT 2022

% Result   : Unsatisfiable 0.79s 1.00s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n029.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 : Tue Jun  7 17:44:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  ----- Otter 3.2, August 2001 -----
% 0.20/0.36  The process was started by sandbox2 on n029.cluster.edu,
% 0.20/0.36  Tue Jun  7 17:44:05 2022
% 0.20/0.36  The command was "./sos".  The process ID is 17181.
% 0.20/0.36  
% 0.20/0.36  set(prolog_style_variables).
% 0.20/0.36  set(auto).
% 0.20/0.36     dependent: set(auto1).
% 0.20/0.36     dependent: set(process_input).
% 0.20/0.36     dependent: clear(print_kept).
% 0.20/0.36     dependent: clear(print_new_demod).
% 0.20/0.36     dependent: clear(print_back_demod).
% 0.20/0.36     dependent: clear(print_back_sub).
% 0.20/0.36     dependent: set(control_memory).
% 0.20/0.36     dependent: assign(max_mem, 12000).
% 0.20/0.36     dependent: assign(pick_given_ratio, 4).
% 0.20/0.36     dependent: assign(stats_level, 1).
% 0.20/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.36     dependent: assign(sos_limit, 5000).
% 0.20/0.36     dependent: assign(max_weight, 60).
% 0.20/0.36  clear(print_given).
% 0.20/0.36  
% 0.20/0.36  formula_list(usable).
% 0.20/0.36  
% 0.20/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=9.
% 0.20/0.36  
% 0.20/0.36  This is a non-Horn set without equality.  The strategy
% 0.20/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.20/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.20/0.36  
% 0.20/0.36     dependent: set(hyper_res).
% 0.20/0.36     dependent: set(factor).
% 0.20/0.36     dependent: set(unit_deletion).
% 0.20/0.36  
% 0.20/0.36  ------------> process usable:
% 0.20/0.36  
% 0.20/0.36  ------------> process sos:
% 0.20/0.36  70 back subsumes 39.
% 0.20/0.36  70 back subsumes 36.
% 0.20/0.36  70 back subsumes 17.
% 0.20/0.36  70 back subsumes 15.
% 0.20/0.36  
% 0.20/0.36  ======= end of input processing =======
% 0.20/0.41  
% 0.20/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  -------------- Softie stats --------------
% 0.20/0.41  
% 0.20/0.41  UPDATE_STOP: 300
% 0.20/0.41  SFINDER_TIME_LIMIT: 2
% 0.20/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41  number of clauses in intial UL: 65
% 0.20/0.41  number of clauses initially in problem: 73
% 0.20/0.41  percentage of clauses intially in UL: 89
% 0.20/0.41  percentage of distinct symbols occuring in initial UL: 94
% 0.20/0.41  percent of all initial clauses that are short: 98
% 0.20/0.41  absolute distinct symbol count: 37
% 0.20/0.41     distinct predicate count: 21
% 0.20/0.41     distinct function count: 15
% 0.20/0.41     distinct constant count: 1
% 0.20/0.41  
% 0.20/0.41  ---------- no more Softie stats ----------
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  =========== start of search ===========
% 0.79/1.00  
% 0.79/1.00  -------- PROOF -------- 
% 0.79/1.00  % SZS status Theorem
% 0.79/1.00  % SZS output start Refutation
% 0.79/1.00  
% 0.79/1.00  Model 3 [ 1 1 1083 ] (0.00 seconds, 2187 Inserts)
% 0.79/1.00  
% 0.79/1.00  Model 4 [ 1 1 1247 ] (0.00 seconds, 8140 Inserts)
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Model 5 [ 5 1 902 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Model 6 [ 3 0 1104 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Model 7 [ 3 1 1031 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Model 8 [ 5 0 977 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Stopped by limit on insertions
% 0.79/1.00  
% 0.79/1.00  Model 9 [ 3 1 1813 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  -----> EMPTY CLAUSE at   0.62 sec ----> 192 [hyper,188,6,80] {-} $F.
% 0.79/1.00  
% 0.79/1.00  Length of proof is 15.  Level of proof is 9.
% 0.79/1.00  
% 0.79/1.00  ---------------- PROOF ----------------
% 0.79/1.00  % SZS status Theorem
% 0.79/1.00  % SZS output start Refutation
% 0.79/1.00  
% 0.79/1.00  3 [] {+} -cUnsatisfiable(A)|ca(A).
% 0.79/1.00  4 [] {+} -cUnsatisfiable(A)|rs(A,$f1(A)).
% 0.79/1.00  5 [] {+} -cUnsatisfiable(A)|ca_Ax2($f1(A)).
% 0.79/1.00  6 [] {+} -ca(A)| -ra_Px1(A,B).
% 0.79/1.00  7 [] {+} -caxcomp(A)|ra_Px1(A,$f3(A)).
% 0.79/1.00  9 [] {+} -cc(A)| -rinvR(A,B)|ca_Vx7(B).
% 0.79/1.00  11 [] {+} -ca_Ax2(A)| -rp(A,B)|ca_Vx3(B).
% 0.79/1.00  12 [] {+} -ca_Ax2(A)| -rp(A,B)|ca_Vx5(B).
% 0.79/1.00  16 [] {+} -ca_Ax2(A)|rp(A,$f6(A)).
% 0.79/1.00  35 [] {+} -ca_Vx3(A)|rr(A,$f11(A)).
% 0.79/1.00  41 [] {+} -ca_Vx5(A)| -rr(A,B)|cc(B).
% 0.79/1.00  43 [] {+} -ca_Vx6(A)| -rinvS(A,B)|caxcomp(B).
% 0.79/1.00  45 [] {+} -ca_Vx7(A)| -rinvP(A,B)|ca_Vx6(B).
% 0.79/1.00  48 [] {+} rinvP(A,B)| -rp(B,A).
% 0.79/1.00  50 [] {+} rinvR(A,B)| -rr(B,A).
% 0.79/1.00  52 [] {+} rinvS(A,B)| -rs(B,A).
% 0.79/1.00  77 [] {-} cUnsatisfiable(i2003_11_14_17_21_33997).
% 0.79/1.00  78 [hyper,77,5] {+} ca_Ax2($f1(i2003_11_14_17_21_33997)).
% 0.79/1.00  79 [hyper,77,4] {+} rs(i2003_11_14_17_21_33997,$f1(i2003_11_14_17_21_33997)).
% 0.79/1.00  80 [hyper,77,3] {+} ca(i2003_11_14_17_21_33997).
% 0.79/1.00  81 [hyper,78,16] {+} rp($f1(i2003_11_14_17_21_33997),$f6($f1(i2003_11_14_17_21_33997))).
% 0.79/1.00  83 [hyper,79,52] {+} rinvS($f1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997).
% 0.79/1.00  88 [hyper,81,48] {+} rinvP($f6($f1(i2003_11_14_17_21_33997)),$f1(i2003_11_14_17_21_33997)).
% 0.79/1.00  91 [hyper,81,12,78] {+} ca_Vx5($f6($f1(i2003_11_14_17_21_33997))).
% 0.79/1.00  92 [hyper,81,11,78] {+} ca_Vx3($f6($f1(i2003_11_14_17_21_33997))).
% 0.79/1.00  97 [hyper,92,35] {+} rr($f6($f1(i2003_11_14_17_21_33997)),$f11($f6($f1(i2003_11_14_17_21_33997)))).
% 0.79/1.00  126 [hyper,97,50] {+} rinvR($f11($f6($f1(i2003_11_14_17_21_33997))),$f6($f1(i2003_11_14_17_21_33997))).
% 0.79/1.00  127 [hyper,97,41,91] {+} cc($f11($f6($f1(i2003_11_14_17_21_33997)))).
% 0.79/1.00  184 [hyper,126,9,127] {+} ca_Vx7($f6($f1(i2003_11_14_17_21_33997))).
% 0.79/1.00  185 [hyper,184,45,88] {+} ca_Vx6($f1(i2003_11_14_17_21_33997)).
% 0.79/1.00  187 [hyper,185,43,83] {-} caxcomp(i2003_11_14_17_21_33997).
% 0.79/1.00  188 [hyper,187,7] {+} ra_Px1(i2003_11_14_17_21_33997,$f3(i2003_11_14_17_21_33997)).
% 0.79/1.00  192 [hyper,188,6,80] {-} $F.
% 0.79/1.00  
% 0.79/1.00  % SZS output end Refutation
% 0.79/1.00  ------------ end of proof -------------
% 0.79/1.00  
% 0.79/1.00  
% 0.79/1.00  Search stopped by max_proofs option.
% 0.79/1.00  
% 0.79/1.00  
% 0.79/1.00  Search stopped by max_proofs option.
% 0.79/1.00  
% 0.79/1.00  ============ end of search ============
% 0.79/1.00  
% 0.79/1.00  ----------- soft-scott stats ----------
% 0.79/1.00  
% 0.79/1.00  true clauses given          50      (74.6%)
% 0.79/1.00  false clauses given         17
% 0.79/1.00  
% 0.79/1.00        FALSE     TRUE
% 0.79/1.00     8  0         3
% 0.79/1.00     9  0         1
% 0.79/1.00    10  0         4
% 0.79/1.00    12  0         1
% 0.79/1.00    14  0         1
% 0.79/1.00    16  0         1
% 0.79/1.00    36  0         2
% 0.79/1.00    38  0         4
% 0.79/1.00    40  0         6
% 0.79/1.00    42  0         8
% 0.79/1.00    44  0         6
% 0.79/1.00    46  0         4
% 0.79/1.00    48  0         2
% 0.79/1.00  tot:  0         43      (100.0% true)
% 0.79/1.00  
% 0.79/1.00  
% 0.79/1.00  Model 9 [ 3 1 1813 ] (0.00 seconds, 250000 Inserts)
% 0.79/1.00  
% 0.79/1.00  That finishes the proof of the theorem.
% 0.79/1.00  
% 0.79/1.00  Process 17181 finished Tue Jun  7 17:44:06 2022
%------------------------------------------------------------------------------