TSTP Solution File: PLA002-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PLA002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.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  : 300s
% DateTime : Sat Jul 23 06:13:54 EDT 2022

% Result   : Unsatisfiable 0.68s 0.88s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PLA002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n015.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  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 08:24:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/0.88  GeoParameters:
% 0.68/0.88  
% 0.68/0.88  tptp_input =     1
% 0.68/0.88  tptp_output =    0
% 0.68/0.88  nonempty =       1
% 0.68/0.88  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.68/0.88  
% 0.68/0.88  
% 0.68/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88  
% 0.68/0.88  RuleSystem INPUT:
% 0.68/0.88  
% 0.68/0.88  Initial Rules:
% 0.68/0.88  #0: input, references = 8, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | warm-{T}(V0), cold-{T}(V1)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #1: input, references = 3, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_walk-{F}(V1,V2,V3), at-{F}(V0,V2) | at-{T}(V1,V3)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #2: input, references = 3, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_drive-{F}(V1,V2,V3), at-{F}(V0,V2) | at-{T}(V1,V3)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #3: input, references = 5, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_walk-{F}(V0,V2,V3), at-{F}(V1,V2) | at-{T}(V0,V3)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #4: input, references = 3, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_drive-{F}(V0,V2,V3), at-{F}(V1,V2) | at-{T}(V0,V3)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #5: input, references = 3, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_skate-{F}(V2,V3,V4), cold-{F}(V3), at-{F}(V1,V3) | at-{T}(V2,V4)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #6: input, references = 5, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_skate-{F}(V1,V3,V4), cold-{F}(V3), at-{F}(V2,V3) | at-{T}(V1,V4)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #7: input, references = 3, size of lhs = 7:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_climb-{F}(V3,V4,V5), warm-{F}(V4), at-{F}(V1,V4) | at-{T}(V3,V5)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #8: input, references = 7, size of lhs = 7:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_climb-{F}(V1,V4,V5), warm-{F}(V4), at-{F}(V3,V4) | at-{T}(V1,V5)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #9: input, references = 7, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_go-{F}(V3,V4,V5), at-{F}(V2,V4) | at-{T}(V3,V5)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #10: input, references = 9, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_go-{F}(V2,V4,V5), at-{F}(V3,V4) | at-{T}(V2,V5)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #11: input, references = 3, size of lhs = 7:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_go-{F}(V4,V5,V6), at-{F}(V2,V5) | at-{T}(V4,V6)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #12: input, references = 4, size of lhs = 7:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_go-{F}(V2,V5,V6), at-{F}(V4,V5) | at-{T}(V2,V6)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #13: input, references = 3, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_go-{F}(V5,V6,V7), at-{F}(V3,V6) | at-{T}(V5,V7)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #14: input, references = 12, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_go-{F}(V3,V6,V7), at-{F}(V5,V6) | at-{T}(V3,V7)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #15: input, references = 19, size of lhs = 7:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | at-{T}(V5,V6)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #16: input, references = 11, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6), at-{F}(V0,V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #17: input, references = 4, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #18: input, references = 4, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #19: input, references = 4, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_walk-{T}(V0,V1,V2)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #20: input, references = 3, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_drive-{T}(V0,V1,V2)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #21: input, references = 5, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #22: input, references = 5, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_skate-{T}(V0,V1,V2)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #23: input, references = 7, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_d-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #24: input, references = 5, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_climb-{T}(V0,V1,V2)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #25: input, references = 18, size of lhs = 2:
% 0.68/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_go-{T}(V0,V1,V2)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #26: input, references = 10, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_e-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #27: input, references = 10, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_f-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #28: input, references = 19, size of lhs = 0:
% 0.68/0.88     FALSE | EXISTS V0: P_s0-{T}(V0)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  number of initial rules = 29
% 0.68/0.88  
% 0.68/0.88  Simplifiers:
% 0.68/0.88  #29: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #30: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #31: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_walk-{F}(V0,V1,V2), P_walk-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #32: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_drive-{F}(V0,V1,V2), P_drive-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #33: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #34: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_skate-{F}(V0,V1,V2), P_skate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #35: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #36: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_climb-{F}(V0,V1,V2), P_climb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #37: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_go-{F}(V0,V1,V2), P_go-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #38: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_e-{F}(V0), P_e-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #39: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #40: unsound, references = 3, size of lhs = 3:
% 0.68/0.88     P_s0-{F}(V0), P_s0-{F}(V1), V0 == V1 | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  number of simplifiers = 12
% 0.68/0.88  
% 0.68/0.88  Learnt:
% 0.68/0.88  #48: mergings( V3 == V0, V4 == V7, V0 == V8, V5 == V9, V6 == V10; #42 ), references = 3, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), at-{F}(V3,V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #62: mergings( V1 == V7, V7 == V9, V2 == V8, V8 == V11, V3 == V9, V9 == V12, V4 == V10, V10 == V13, V5 == V6, V6 == V14, V14 == V15; #50 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #71: mergings( V3 == V0, V4 == V8, V5 == V9, V0 == V10, V6 == V11, V7 == V12; #64 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #85: mergings( V1 == V6, V6 == V9, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V11 == V16; #73 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_e-{F}(V3), P_f-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #97: mergings( V1 == V6, V6 == V9, V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13, V5 == V10, V10 == V14; #86 ), references = 1, size of lhs = 5:
% 0.68/0.88     P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #107: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V8, V8 == V11; #98 ), references = 1, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #116: mergings( V3 == V0, V0 == V6, V4 == V7, V5 == V8; #110 ), references = 2, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), warm-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), at-{F}(V3,V1), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #121: mergings( V3 == V6, V0 == V7, V4 == V6, V5 == V8; #111 ), references = 1, size of lhs = 9:
% 0.68/0.88     P_e-{F}(V0), P_b-{F}(V0), warm-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), at-{F}(V3,V1), P_f-{F}(V4), P_s0-{F}(V5) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #128: mergings( V2 == V3, V3 == V6, V4 == V7, V5 == V8; #122 ), references = 3, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6), #-{F} V7 | cold-{T}(V7)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #133: mergings( V2 == V6, V3 == V7, V4 == V6, V5 == V8; #123 ), references = 1, size of lhs = 9:
% 0.68/0.88     P_e-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_f-{F}(V4), P_s0-{F}(V5), #-{F} V6 | cold-{T}(V6)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #142: mergings( V3 == V0, V4 == V6, V0 == V7, V5 == V8; #136 ), references = 2, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #147: mergings( V3 == V6, V4 == V7, V0 == V6, V5 == V8; #137 ), references = 2, size of lhs = 8:
% 0.68/0.88     P_e-{F}(V0), P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_f-{F}(V4), P_s0-{F}(V5) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #162: mergings( V1 == V7, V7 == V9, V2 == V8, V8 == V10, V3 == V9, V9 == V11, V4 == V6, V6 == V12, V5 == V13, V12 == V14; #150 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_f-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #172: mergings( V3 == V8, V4 == V9, V5 == V8, V6 == V10, V7 == V11; #165 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #178: mergings( V3 == V8, V4 == V9, V5 == V8, V6 == V8, V7 == V10; #166 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_e-{F}(V0), P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_f-{F}(V3), at-{F}(V3,V4), P_s0-{F}(V5) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #193: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V11, V4 == V13, V5 == V9, V9 == V14, V10 == V15; #181 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #205: mergings( V1 == V6, V6 == V10, V2 == V7, V7 == V11, V3 == V8, V8 == V10, V4 == V12, V5 == V9, V9 == V13; #194 ), references = 1, size of lhs = 5:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #214: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V8, V4 == V10; #206 ), references = 1, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #222: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V7; #215 ), references = 1, size of lhs = 3:
% 0.68/0.88     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #231: mergings( V3 == V0, V0 == V5, V4 == V6; #227 ), references = 3, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), cold-{F}(V1), P_c-{F}(V2), at-{F}(V2,V1), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #247: mergings( V3 == V8, V8 == V13, V4 == V13, V5 == V9, V9 == V0, V0 == V14, V6 == V10, V10 == V15, V7 == V11, V11 == V16, V12 == V17; #235 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_c-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_e-{F}(V2), P_f-{F}(V3), at-{F}(V3,V4), P_s0-{F}(V5) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #265: mergings( V1 == V6, V6 == V11, V11 == V16, V2 == V7, V7 == V16, V3 == V8, V8 == V12, V12 == V13, V4 == V13, V13 == V17, V5 == V9, V9 == V14, V14 == V18, V10 == V15, V15 == V19; #249 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_c-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_e-{F}(V2), P_f-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #280: mergings( V1 == V6, V6 == V10, V10 == V14, V2 == V7, V7 == V14, V3 == V8, V8 == V11, V11 == V12, V4 == V12, V12 == V15, V5 == V9, V9 == V13, V13 == V16; #266 ), references = 1, size of lhs = 5:
% 0.68/0.88     P_c-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_e-{F}(V2) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #292: mergings( V1 == V5, V5 == V8, V8 == V11, V2 == V6, V6 == V11, V3 == V7, V7 == V9, V9 == V10, V4 == V10, V10 == V12; #281 ), references = 1, size of lhs = 4:
% 0.68/0.88     P_c-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #294: disj( #0, mergings( V3 == V0, V0 == V5, V4 == V6; #227 ) ), references = 2, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), at-{F}(V1,V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6), #-{F} V7 | warm-{T}(V7)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #311: mergings( V3 == V6, V6 == V13, V4 == V13, V5 == V7, V7 == V14, V9 == V0, V10 == V15, V11 == V16, V12 == V17; #300 ), references = 2, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), at-{F}(V1,V2), at-{F}(V1,V3), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #321: mergings( V3 == V6, V6 == V11, V4 == V11, V5 == V7, V7 == V12, V0 == V14, V8 == V15, V9 == V16, V10 == V17; #301 ), references = 2, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), at-{F}(V1,V2), at-{F}(V1,V3), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #339: mergings( V1 == V7, V7 == V9, V9 == V13, V2 == V8, V8 == V13, V3 == V6, V6 == V14, V4 == V10, V10 == V15, V5 == V11, V11 == V16, V14 == V12, V12 == V17; #324 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_f-{F}(V1), P_d-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #348: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10, V6 == V11; #341 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_f-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #358: mergings( V3 == V6, V4 == V6, V5 == V7; #353 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #362: mergings( V3 == V6, V4 == V6, V5 == V7; #354 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #375: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V10, V5 == V11, V0 == V12, V6 == V13, V7 == V14; #365 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #384: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V10, V5 == V11, V0 == V12, V6 == V13, V7 == V14; #366 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #402: mergings( V1 == V6, V6 == V11, V11 == V14, V2 == V7, V7 == V12, V12 == V14, V3 == V8, V8 == V15, V4 == V13, V13 == V16, V5 == V9, V9 == V17, V10 == V18; #387 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #417: mergings( V1 == V6, V6 == V10, V10 == V13, V2 == V7, V7 == V11, V11 == V13, V3 == V8, V8 == V14, V4 == V12, V12 == V15, V5 == V9, V9 == V16; #403 ), references = 1, size of lhs = 5:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #430: mergings( V1 == V5, V5 == V8, V8 == V11, V2 == V6, V6 == V9, V9 == V11, V3 == V7, V7 == V12, V4 == V10, V10 == V13; #418 ), references = 1, size of lhs = 4:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #441: mergings( V1 == V4, V4 == V7, V7 == V9, V2 == V5, V5 == V8, V8 == V9, V3 == V6, V6 == V10; #431 ), references = 1, size of lhs = 3:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #450: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V7; #442 ), references = 1, size of lhs = 2:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #465: mergings( V2 == V7, V5 == V9, V3 == V10, V4 == V11; #460 ), references = 1, size of lhs = 11:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), at-{F}(V3,V4), P_climb-{F}(V1,V4,V5), P_walk-{F}(V0,V5,V6), P_e-{F}(V7), P_f-{F}(V8), P_s0-{F}(V9), #-{F} V10 | cold-{T}(V10)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #473: mergings( V3 == V4; #471 ), references = 6, size of lhs = 8:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), at-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #480: mergings( V3 == V6, V0 == V7, V4 == V8, V5 == V9; #475 ), references = 1, size of lhs = 9:
% 0.68/0.88     warm-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), at-{F}(V4,V0), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #483: disj( #0, mergings( V3 == V6, V0 == V7, V4 == V8, V5 == V9; #475 ) ), references = 2, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), at-{F}(V3,V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7), #-{F} V8 | cold-{T}(V8)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #490: mergings( V3 == V6, V4 == V0, V0 == V7, V5 == V8; #485 ), references = 2, size of lhs = 8:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #503: mergings( V1 == V7, V7 == V10, V2 == V8, V8 == V9, V3 == V9, V9 == V11, V4 == V6, V6 == V12, V5 == V13, V12 == V14; #492 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), P_f-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #512: mergings( V1 == V7, V2 == V6, V3 == V8, V4 == V9, V5 == V10, V6 == V11; #505 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_b-{F}(V0), P_f-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #520: mergings( V3 == V9, V4 == V8, V5 == V8, V6 == V10, V7 == V11; #514 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #533: mergings( V1 == V6, V6 == V12, V2 == V7, V7 == V11, V3 == V8, V8 == V11, V4 == V13, V5 == V9, V9 == V14, V10 == V15; #522 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), P_e-{F}(V3), P_f-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #544: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V10, V3 == V8, V8 == V10, V4 == V12, V5 == V9, V9 == V13; #534 ), references = 1, size of lhs = 5:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #553: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V8, V3 == V7, V7 == V8, V4 == V10; #545 ), references = 1, size of lhs = 4:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_d-{F}(V2) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #561: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V7, V3 == V6, V6 == V7; #554 ), references = 1, size of lhs = 3:
% 0.68/0.88     P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #567: mergings( V3 == V5, V4 == V6; #564 ), references = 2, size of lhs = 9:
% 0.68/0.88     cold-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), at-{F}(V3,V0), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #571: mergings( V2 == V4, V3 == V6; #568 ), references = 1, size of lhs = 9:
% 0.68/0.88     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), at-{F}(V2,V3), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7), #-{F} V8 | warm-{T}(V8)
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #579: mergings( V3 == V6, V4 == V0, V5 == V7, V0 == V8; #574 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), at-{F}(V2,V3), P_e-{F}(V4), P_f-{F}(V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #592: mergings( V1 == V7, V7 == V10, V2 == V8, V8 == V9, V3 == V6, V6 == V11, V4 == V9, V9 == V12, V5 == V13, V11 == V14; #581 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_f-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #601: mergings( V3 == V8, V4 == V0, V5 == V9, V0 == V10, V6 == V11, V7 == V12; #594 ), references = 1, size of lhs = 8:
% 0.68/0.88     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_e-{F}(V3), P_f-{F}(V4), at-{F}(V4,V5), P_s0-{F}(V6) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.88  
% 0.68/0.88  #615: mergings( V1 == V6, V6 == V12, V2 == V7, V7 == V9, V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V11 == V16; #603 ), references = 1, size of lhs = 6:
% 0.68/0.88     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_e-{F}(V3), P_f-{F}(V4) | FALSE
% 0.68/0.88        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #627: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V9, V3 == V8, V8 == V12, V4 == V9, V9 == V13, V5 == V10, V10 == V14; #616 ), references = 1, size of lhs = 5:
% 0.68/0.89     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_e-{F}(V3) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #637: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V8, V3 == V7, V7 == V10, V4 == V8, V8 == V11; #628 ), references = 1, size of lhs = 4:
% 0.68/0.89     P_b-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), P_c-{F}(V2) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #652: mergings( V3 == V6, V6 == V14, V4 == V7, V7 == V15, V8 == V0, V5 == V9, V9 == V16, V11 == V17, V12 == V18, V13 == V19; #641 ), references = 3, size of lhs = 9:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), at-{F}(V3,V4), at-{F}(V3,V5), P_e-{F}(V6), P_f-{F}(V7), P_s0-{F}(V8) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #669: mergings( V1 == V7, V7 == V9, V9 == V14, V2 == V8, V8 == V10, V10 == V15, V3 == V11, V11 == V16, V4 == V6, V6 == V17, V5 == V12, V12 == V18, V17 == V13, V13 == V19; #654 ), references = 1, size of lhs = 6:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V3), P_e-{F}(V4) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #676: mergings( V3 == V6, V4 == V7, V5 == V8; #672 ), references = 1, size of lhs = 8:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), at-{F}(V2,V3), P_d-{F}(V4), P_e-{F}(V5), P_f-{F}(V6), P_s0-{F}(V7) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #688: mergings( V1 == V7, V7 == V9, V2 == V8, V8 == V10, V3 == V6, V6 == V11, V4 == V12, V5 == V13, V11 == V14; #678 ), references = 1, size of lhs = 6:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_f-{F}(V2), P_d-{F}(V3), P_e-{F}(V4) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #696: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #690 ), references = 1, size of lhs = 8:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5), at-{F}(V5,V6), P_s0-{F}(V7) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #709: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V14, V5 == V9, V9 == V15, V10 == V16; #698 ), references = 1, size of lhs = 6:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4), P_f-{F}(V5) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #720: mergings( V1 == V6, V6 == V10, V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V13, V5 == V9, V9 == V14; #710 ), references = 1, size of lhs = 5:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_e-{F}(V4) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #729: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V11; #721 ), references = 1, size of lhs = 4:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #737: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #730 ), references = 1, size of lhs = 3:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #743: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #738 ), references = 1, size of lhs = 2:
% 0.68/0.89     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #747: mergings( V1 == V2, V2 == V3; #744 ), references = 1, size of lhs = 1:
% 0.68/0.89     P_a-{F}(V0) | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  #749: exists( #17, #744 ), references = 1, size of lhs = 0:
% 0.68/0.89     FALSE | FALSE
% 0.68/0.89        (used 0 times, uses = {})
% 0.68/0.89  
% 0.68/0.89  number of learnt formulas = 70
% 0.68/0.89  
% 0.68/0.89  
% 0.68/0.89  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.89  
% 0.68/0.89  randbase = 1
%------------------------------------------------------------------------------