TSTP Solution File: KRS132+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS132+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 03:29:51 EDT 2022

% Result   : Theorem 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS132+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 13:50:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n028.cluster.edu,
% 0.13/0.35  Tue Jun  7 13:50:00 2022
% 0.13/0.35  The command was "./sos".  The process ID is 4716.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.13/0.35  
% 0.13/0.35  This is a non-Horn set without equality.  The strategy
% 0.13/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  35 back subsumes 10.
% 0.13/0.35  35 back subsumes 7.
% 0.13/0.35  35 back subsumes 4.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 25
% 0.13/0.40  number of clauses initially in problem: 30
% 0.13/0.40  percentage of clauses intially in UL: 83
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 25
% 0.13/0.40     distinct predicate count: 15
% 0.13/0.40     distinct function count: 7
% 0.13/0.40     distinct constant count: 3
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 0.77/0.95  
% 0.77/0.95  -------- PROOF -------- 
% 0.77/0.95  % SZS status Theorem
% 0.77/0.95  % SZS output start Refutation
% 0.77/0.95  
% 0.77/0.95  Model 3 (0.00 seconds, 0 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on number of solutions
% 0.77/0.95  
% 0.77/0.95  Model 4 (0.00 seconds, 0 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on number of solutions
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 5 [ 1 1 472 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 6 [ 1 0 299 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 7 [ 1 4 128216 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 8 [ 1 0 534 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 9 [ 1 1 514 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 10 [ 1 1 119 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  Stopped by limit on insertions
% 0.77/0.95  
% 0.77/0.95  Model 11 [ 2 0 442 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  -----> EMPTY CLAUSE at   0.56 sec ----> 215 [hyper,214,2,212] {-} $F.
% 0.77/0.95  
% 0.77/0.95  Length of proof is 105.  Level of proof is 85.
% 0.77/0.95  
% 0.77/0.95  ---------------- PROOF ----------------
% 0.77/0.95  % SZS status Theorem
% 0.77/0.95  % SZS output start Refutation
% 0.77/0.95  
% 0.77/0.95  1 [] {+} -cowlNothing(A).
% 0.77/0.95  2 [] {+} -xsd_string(A)| -xsd_integer(A).
% 0.77/0.95  3 [] {+} -cA(A)|rq(A,$f1(A)).
% 0.77/0.95  5 [] {+} cA(A)| -rq(A,B)| -cowlThing(B).
% 0.77/0.95  6 [] {+} -cAorB(A)|rs(A,$f2(A)).
% 0.77/0.95  8 [] {+} cAorB(A)| -rs(A,B)| -cowlThing(B).
% 0.77/0.95  9 [] {+} -cB(A)|rr(A,$f3(A)).
% 0.77/0.95  11 [] {+} cB(A)| -rr(A,B)| -cowlThing(B).
% 0.77/0.95  12 [] {+} -cNothing(A)|rp(A,$f4(A)).
% 0.77/0.95  13 [] {+} -cNothing(A)| -rp(A,B).
% 0.77/0.95  14 [] {+} -cnotA(A)| -rq(A,B)|cNothing(B).
% 0.77/0.95  16 [] {+} -cnotAorB(A)| -rs(A,B)|cNothing(B).
% 0.77/0.95  18 [] {+} -cnotAorB(A)|cnotB(A).
% 0.77/0.95  19 [] {+} -cnotAorB(A)|cnotA(A).
% 0.77/0.95  20 [] {+} cnotAorB(A)| -cnotB(A)| -cnotA(A).
% 0.77/0.95  21 [] {+} -cnotB(A)| -rr(A,B)|cNothing(B).
% 0.77/0.95  23 [] {-} -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  24 [copy,23,unit_del,1] {+} -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  25 [] {-} -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cAorB($c3)| -cB($c3).
% 0.77/0.95  26 [copy,25,unit_del,1] {+} -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cAorB($c3)| -cB($c3).
% 0.77/0.95  27 [] {-} -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cAorB($c3)| -cA($c3).
% 0.77/0.95  28 [copy,27,unit_del,1] {+} -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cAorB($c3)| -cA($c3).
% 0.77/0.95  29 [] {-} -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  30 [copy,29,unit_del,1] {+} -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  31 [] {-} -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cAorB($c3)| -cB($c3).
% 0.77/0.95  32 [copy,31,unit_del,1] {+} -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cAorB($c3)| -cB($c3).
% 0.77/0.95  33 [] {-} -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cAorB($c3)| -cA($c3).
% 0.77/0.95  34 [copy,33,unit_del,1] {+} -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cAorB($c3)| -cA($c3).
% 0.77/0.95  35 [] {+} cowlThing(A).
% 0.77/0.95  36 [] {+} xsd_string(A)|xsd_integer(A).
% 0.77/0.95  37 [] {+} cnotA(A)|rq(A,$f5(A)).
% 0.77/0.95  38 [] {+} cnotAorB(A)|rs(A,$f6(A)).
% 0.77/0.95  39 [] {+} cnotB(A)|rr(A,$f7(A)).
% 0.77/0.95  40 [hyper,36,30,35,factor_simp] {+} xsd_integer($c2)|cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  41 [hyper,38,19] {+} rs(A,$f6(A))|cnotA(A).
% 0.77/0.95  42 [hyper,38,18] {+} rs(A,$f6(A))|cnotB(A).
% 0.77/0.95  43 [hyper,39,20,37] {+} rr(A,$f7(A))|cnotAorB(A)|rq(A,$f5(A)).
% 0.77/0.95  44 [hyper,40,24,35,factor_simp,factor_simp,factor_simp] {+} cAorB($c3)|cB($c3)|cA($c3)|xsd_string($c2).
% 0.77/0.95  45 [hyper,44,2,40,factor_simp,factor_simp,factor_simp] {+} cAorB($c3)|cB($c3)|cA($c3).
% 0.77/0.95  46 [hyper,45,9] {+} cAorB($c3)|cA($c3)|rr($c3,$f3($c3)).
% 0.77/0.95  47 [hyper,46,6] {+} cA($c3)|rr($c3,$f3($c3))|rs($c3,$f2($c3)).
% 0.77/0.95  48 [hyper,47,3] {+} rr($c3,$f3($c3))|rs($c3,$f2($c3))|rq($c3,$f1($c3)).
% 0.77/0.95  49 [hyper,48,16,43] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|cNothing($f2($c3))|rr($c3,$f7($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  52 [hyper,49,12] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rr($c3,$f7($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3))).
% 0.77/0.95  57 [hyper,52,11,35] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|cB($c3).
% 0.77/0.95  60 [hyper,57,9,factor_simp] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3))).
% 0.77/0.95  61 [hyper,60,21,42] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|cNothing($f3($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  62 [hyper,60,11,35] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|cB($c3).
% 0.77/0.95  63 [hyper,61,12] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|rs($c3,$f6($c3))|rp($f3($c3),$f4($f3($c3))).
% 0.77/0.95  64 [hyper,63,8,35] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|cAorB($c3).
% 0.77/0.95  65 [hyper,64,32,35,36,62,factor_simp,factor_simp,factor_simp,factor_simp] {-} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|xsd_integer($c2).
% 0.77/0.95  67 [hyper,65,26,35,64,62,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|xsd_string($c2).
% 0.77/0.95  68 [hyper,67,2,65,factor_simp,factor_simp,factor_simp,factor_simp] {-} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3))).
% 0.77/0.95  73 [hyper,68,5,35] {-} rq($c3,$f1($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|cA($c3).
% 0.77/0.95  75 [hyper,73,3,factor_simp] {-} rq($c3,$f1($c3))|rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3))).
% 0.77/0.95  76 [hyper,75,14,41] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|cNothing($f1($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  77 [hyper,75,5,35] {-} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|cA($c3).
% 0.77/0.95  79 [hyper,76,12] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rs($c3,$f6($c3))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  80 [hyper,79,8,35] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|cAorB($c3).
% 0.77/0.95  81 [hyper,80,34,35,36,77,factor_simp,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_integer($c2).
% 0.77/0.95  83 [hyper,81,28,35,80,77,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_string($c2).
% 0.77/0.95  84 [hyper,83,2,81,factor_simp,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  89 [hyper,84,13,76,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|rs($c3,$f6($c3)).
% 0.77/0.95  91 [hyper,89,8,35] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|cAorB($c3).
% 0.77/0.95  92 [hyper,91,34,35,36,77,factor_simp,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|xsd_integer($c2).
% 0.77/0.95  94 [hyper,92,28,35,91,77,factor_simp,factor_simp,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3)))|xsd_string($c2).
% 0.77/0.95  95 [hyper,94,2,92,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f3($c3),$f4($f3($c3))).
% 0.77/0.95  97 [hyper,95,13,49] {+} rp($f3($c3),$f4($f3($c3)))|rr($c3,$f3($c3))|rq($c3,$f1($c3))|rr($c3,$f7($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  98 [hyper,95,13,61,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  100 [hyper,98,8,35] {+} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|cAorB($c3).
% 0.77/0.95  101 [hyper,100,32,35,36,62,factor_simp,factor_simp,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_integer($c2).
% 0.77/0.95  103 [hyper,101,26,35,100,62,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_string($c2).
% 0.77/0.95  104 [hyper,103,2,101,factor_simp,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  108 [hyper,97,11,35] {+} rp($f3($c3),$f4($f3($c3)))|rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|cB($c3).
% 0.77/0.95  113 [hyper,104,5,35] {-} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3))|cA($c3).
% 0.77/0.95  115 [hyper,113,3,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rq($c3,$f1($c3)).
% 0.77/0.95  116 [hyper,115,14,41] {+} rp($f2($c3),$f4($f2($c3)))|cNothing($f1($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  117 [hyper,115,5,35] {-} rp($f2($c3),$f4($f2($c3)))|cA($c3).
% 0.77/0.95  121 [hyper,116,12] {+} rp($f2($c3),$f4($f2($c3)))|rs($c3,$f6($c3))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  123 [hyper,108,9,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  124 [hyper,121,8,35] {+} rp($f2($c3),$f4($f2($c3)))|rp($f1($c3),$f4($f1($c3)))|cAorB($c3).
% 0.77/0.95  125 [hyper,124,34,35,36,117,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_integer($c2).
% 0.77/0.95  127 [hyper,125,28,35,124,117,factor_simp,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_string($c2).
% 0.77/0.95  128 [hyper,127,2,125,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  133 [hyper,128,13,116,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|rs($c3,$f6($c3)).
% 0.77/0.95  135 [hyper,133,8,35] {+} rp($f2($c3),$f4($f2($c3)))|cAorB($c3).
% 0.77/0.95  136 [hyper,135,34,35,36,117,factor_simp,factor_simp] {-} rp($f2($c3),$f4($f2($c3)))|xsd_integer($c2).
% 0.77/0.95  138 [hyper,123,21,42] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|cNothing($f3($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  139 [hyper,136,28,35,135,117,factor_simp,factor_simp] {+} rp($f2($c3),$f4($f2($c3)))|xsd_string($c2).
% 0.77/0.95  140 [hyper,139,2,136,factor_simp] {+} rp($f2($c3),$f4($f2($c3))).
% 0.77/0.95  142 [hyper,140,13,49] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rr($c3,$f7($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  147 [hyper,142,11,35] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|cB($c3).
% 0.77/0.95  149 [hyper,147,9,factor_simp] {+} rr($c3,$f3($c3))|rq($c3,$f1($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  150 [hyper,138,12,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  151 [hyper,149,21,42] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|cNothing($f3($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  152 [hyper,149,11,35] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|cB($c3).
% 0.77/0.95  153 [hyper,150,8,35] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|cAorB($c3).
% 0.77/0.95  154 [hyper,153,32,35,36,152,factor_simp,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_integer($c2).
% 0.77/0.95  156 [hyper,154,26,35,153,152,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_string($c2).
% 0.77/0.95  157 [hyper,156,2,154,factor_simp,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  162 [hyper,157,5,35] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3))|cA($c3).
% 0.77/0.95  165 [hyper,162,3,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rq($c3,$f1($c3)).
% 0.77/0.95  166 [hyper,165,14,41] {+} rp($f3($c3),$f4($f3($c3)))|cNothing($f1($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  167 [hyper,165,5,35] {+} rp($f3($c3),$f4($f3($c3)))|cA($c3).
% 0.77/0.95  169 [hyper,166,12] {+} rp($f3($c3),$f4($f3($c3)))|rs($c3,$f6($c3))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  170 [hyper,169,8,35] {+} rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|cAorB($c3).
% 0.77/0.95  171 [hyper,170,34,35,36,167,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_integer($c2).
% 0.77/0.95  173 [hyper,171,28,35,170,167,factor_simp,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3)))|xsd_string($c2).
% 0.77/0.95  174 [hyper,173,2,171,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  177 [hyper,174,13,166,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|rs($c3,$f6($c3)).
% 0.77/0.95  179 [hyper,177,8,35] {+} rp($f3($c3),$f4($f3($c3)))|cAorB($c3).
% 0.77/0.95  180 [hyper,179,34,35,36,167,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|xsd_integer($c2).
% 0.77/0.95  183 [hyper,180,28,35,179,167,factor_simp,factor_simp] {+} rp($f3($c3),$f4($f3($c3)))|xsd_string($c2).
% 0.77/0.95  184 [hyper,183,2,180,factor_simp] {+} rp($f3($c3),$f4($f3($c3))).
% 0.77/0.95  185 [hyper,184,13,151] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  187 [hyper,185,8,35] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|cAorB($c3).
% 0.77/0.95  188 [hyper,187,32,35,36,152,factor_simp,factor_simp,factor_simp] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_integer($c2).
% 0.77/0.95  190 [hyper,188,26,35,187,152,factor_simp,factor_simp,factor_simp,factor_simp] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3))|xsd_string($c2).
% 0.77/0.95  191 [hyper,190,2,188,factor_simp,factor_simp] {+} rq($c3,$f1($c3))|rq($c3,$f5($c3)).
% 0.77/0.95  196 [hyper,191,5,35] {+} rq($c3,$f1($c3))|cA($c3).
% 0.77/0.95  199 [hyper,196,3,factor_simp] {+} rq($c3,$f1($c3)).
% 0.77/0.95  200 [hyper,199,14,41] {-} cNothing($f1($c3))|rs($c3,$f6($c3)).
% 0.77/0.95  201 [hyper,199,5,35] {+} cA($c3).
% 0.77/0.95  203 [hyper,200,12] {+} rs($c3,$f6($c3))|rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  204 [hyper,203,8,35] {+} rp($f1($c3),$f4($f1($c3)))|cAorB($c3).
% 0.77/0.95  205 [hyper,204,34,35,36,201,factor_simp] {+} rp($f1($c3),$f4($f1($c3)))|xsd_integer($c2).
% 0.77/0.95  207 [hyper,205,28,35,204,201,factor_simp] {+} rp($f1($c3),$f4($f1($c3)))|xsd_string($c2).
% 0.77/0.95  208 [hyper,207,2,205,factor_simp] {+} rp($f1($c3),$f4($f1($c3))).
% 0.77/0.95  209 [hyper,208,13,200] {+} rs($c3,$f6($c3)).
% 0.77/0.95  211 [hyper,209,8,35] {+} cAorB($c3).
% 0.77/0.95  212 [hyper,211,34,35,36,201,factor_simp] {+} xsd_integer($c2).
% 0.77/0.95  214 [hyper,212,28,35,211,201] {+} xsd_string($c2).
% 0.77/0.95  215 [hyper,214,2,212] {-} $F.
% 0.77/0.95  
% 0.77/0.95  % SZS output end Refutation
% 0.77/0.95  ------------ end of proof -------------
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  Search stopped by max_proofs option.
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  Search stopped by max_proofs option.
% 0.77/0.95  
% 0.77/0.95  ============ end of search ============
% 0.77/0.95  
% 0.77/0.95  ----------- soft-scott stats ----------
% 0.77/0.95  
% 0.77/0.95  true clauses given         102      (73.9%)
% 0.77/0.95  false clauses given         36
% 0.77/0.95  
% 0.77/0.95        FALSE     TRUE
% 0.77/0.95     4  0         1
% 0.77/0.95  tot:  0         1      (100.0% true)
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  Model 11 [ 2 0 442 ] (0.00 seconds, 250000 Inserts)
% 0.77/0.95  
% 0.77/0.95  That finishes the proof of the theorem.
% 0.77/0.95  
% 0.77/0.95  Process 4716 finished Tue Jun  7 13:50:00 2022
%------------------------------------------------------------------------------