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Geo-III---2018C.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : CAT001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 05:58:46 EDT 2022

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 07:18:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.69/0.88  GeoParameters:
% 0.69/0.88  
% 0.69/0.88  tptp_input =     1
% 0.69/0.88  tptp_output =    0
% 0.69/0.88  nonempty =       1
% 0.69/0.88  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  
% 0.69/0.88  RuleSystem INPUT:
% 0.69/0.88  
% 0.69/0.88  Initial Rules:
% 0.69/0.88  #0: input, references = 3, size of lhs = 1:
% 0.69/0.88     equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #1: input, references = 3, size of lhs = 2:
% 0.69/0.88     equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #2: input, references = 3, size of lhs = 1:
% 0.69/0.88     there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #3: input, references = 6, size of lhs = 2:
% 0.69/0.88     P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #4: input, references = 5, size of lhs = 2:
% 0.69/0.88     P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #5: input, references = 7, size of lhs = 3:
% 0.69/0.88     P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #6: input, references = 9, size of lhs = 5:
% 0.69/0.88     P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #7: input, references = 3, size of lhs = 4:
% 0.69/0.88     P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #8: input, references = 5, size of lhs = 5:
% 0.69/0.88     P_compose-{F}(V1,V2,V3), P_compose-{F}(V0,V3,V4), P_compose-{F}(V0,V1,V5), P_compose-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #9: input, references = 4, size of lhs = 3:
% 0.69/0.88     P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #10: input, references = 4, size of lhs = 3:
% 0.69/0.88     P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #11: input, references = 7, size of lhs = 3:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #12: input, references = 6, size of lhs = 6:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V2,V4,V3), P_compose-{F}(V2,V6,V3), V6 == V4 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #13: input, references = 3, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V1,V3,V4) | there_exists-{T}(V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #14: input, references = 5, size of lhs = 8:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V1,V3,V4), P_g-{F}(V5), P_compose-{F}(V1,V5,V6), V4 == V6 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #15: input, references = 5, size of lhs = 7:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V5), P_compose-{F}(V1,V5,V4), P_g-{F}(V5), P_compose-{F}(V1,V5,V6) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #16: input, references = 8, size of lhs = 1:
% 0.69/0.88     #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #17: input, references = 6, size of lhs = 1:
% 0.69/0.88     #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #18: input, references = 21, size of lhs = 2:
% 0.69/0.88     #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #19: input, references = 4, size of lhs = 0:
% 0.69/0.88     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #20: input, references = 4, size of lhs = 0:
% 0.69/0.88     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #21: input, references = 4, size of lhs = 0:
% 0.69/0.88     FALSE | EXISTS V0: P_h-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #22: input, references = 5, size of lhs = 0:
% 0.69/0.88     FALSE | EXISTS V0: P_g-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  number of initial rules = 23
% 0.69/0.88  
% 0.69/0.88  Simplifiers:
% 0.69/0.88  #23: unsound, references = 3, size of lhs = 2:
% 0.69/0.88     equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #24: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #25: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #26: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #27: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #28: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #29: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #30: unsound, references = 3, size of lhs = 3:
% 0.69/0.88     P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  number of simplifiers = 8
% 0.69/0.88  
% 0.69/0.88  Learnt:
% 0.69/0.88  #32: exists( #18, #15 ), references = 1, size of lhs = 4:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #34: exists( #18, #10 ), references = 1, size of lhs = 1:
% 0.69/0.88     P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #36: exists( #18, #9 ), references = 2, size of lhs = 1:
% 0.69/0.88     P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #40: exists( #18, #14 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V1), P_compose-{F}(V0,V1,V2) | P_compose-{T}(V0,V0,V2)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #41: exists( #18, #8 ), references = 4, size of lhs = 3:
% 0.69/0.88     P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #48: exists( #18, #46 ), references = 2, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #50: exists( #17, #47 ), references = 1, size of lhs = 3:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #63: exists( #18, #61 ), references = 1, size of lhs = 9:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_codomain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7), P_codomain-{F}(V6,V8), V7 == V8 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #65: exists( #16, #62 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V2,V0), P_compose-{F}(V0,V3,V2), P_codomain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #75: exists( #18, #14 ), references = 4, size of lhs = 6:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V1,V3,V4), P_g-{F}(V5) | P_compose-{T}(V1,V5,V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #84: exists( #18, #82 ), references = 3, size of lhs = 9:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7), P_codomain-{F}(V6,V8), V7 == V8 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #88: exists( #17, #6 ), references = 2, size of lhs = 3:
% 0.69/0.88     there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #100: exists( #18, #98 ), references = 1, size of lhs = 11:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_compose-{F}(V3,V5,V1), P_compose-{F}(V6,V7,V4), P_domain-{F}(V6,V8), P_codomain-{F}(V7,V9), V8 == V9 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #107: exists( #18, #8 ), references = 4, size of lhs = 3:
% 0.69/0.88     P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #120: mergings( V4 == V6; #118 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V2,V3,V2), P_compose-{F}(V4,V5,V2) | P_domain-{T}(V5,V3)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #129: exists( #18, #126 ), references = 4, size of lhs = 8:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V4,V2), P_compose-{F}(V3,V5,V2), P_compose-{F}(V4,V6,V7), P_compose-{F}(V5,V8,V7), V6 == V8 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #132: exists( #18, #130 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #134: exists( #22, #131 ), references = 1, size of lhs = 3:
% 0.69/0.88     P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0) | P_g-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #137: exists( #18, #129 ), references = 2, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V1,V2,V3), P_compose-{F}(V1,V4,V3), V2 == V4 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #147: mergings( V3 == V6; #144 ), references = 2, size of lhs = 6:
% 0.69/0.88     P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V3,V0,V4) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #155: exists( #18, #147 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #158: exists( #22, #153 ), references = 1, size of lhs = 3:
% 0.69/0.88     P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #161: exists( #16, #84 ), references = 2, size of lhs = 7:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #170: mergings( V2 == V3; #168 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V1,V2), P_domain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #174: exists( #16, #6 ), references = 1, size of lhs = 3:
% 0.69/0.88     there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #175: exists( #16, #161 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V4,V2), P_codomain-{F}(V4,V5) | P_domain-{T}(V3,V5)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #182: exists( #18, #176 ), references = 1, size of lhs = 4:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V1,V1,V1), #-{F} V2 | P_compose-{T}(V1,V2,V2)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #183: exists( #18, #177 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V2,V2,V2), #-{F} V3 | P_compose-{T}(V2,V3,V3)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #184: exists( #18, #178 ), references = 1, size of lhs = 7:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V4,V2), P_compose-{F}(V4,V5,V5), P_compose-{F}(V3,V5,V2), #-{F} V6 | P_compose-{T}(V5,V6,V6)
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #194: exists( #18, #15 ), references = 1, size of lhs = 5:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_g-{F}(V3) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #196: exists( #18, #193 ), references = 1, size of lhs = 4:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #201: mergings( V1 == V3, V2 == V4; #198 ), references = 1, size of lhs = 2:
% 0.69/0.88     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #204: mergings( V1 == V2; #202 ), references = 1, size of lhs = 1:
% 0.69/0.88     P_a-{F}(V0) | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  #206: exists( #19, #202 ), references = 1, size of lhs = 0:
% 0.69/0.88     FALSE | FALSE
% 0.69/0.88        (used 0 times, uses = {})
% 0.69/0.88  
% 0.69/0.88  number of learnt formulas = 34
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  
% 0.69/0.88  randbase = 1
%------------------------------------------------------------------------------