TSTP Solution File: SET598+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n024.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 06:16:25 EDT 2022

% Result   : Theorem 1.39s 1.60s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n024.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  : 300
% 0.13/0.33  % DateTime : Sat Jul 23 02:56:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.39/1.60  GeoParameters:
% 1.39/1.60  
% 1.39/1.60  tptp_input =     1
% 1.39/1.60  tptp_output =    0
% 1.39/1.60  nonempty =       1
% 1.39/1.60  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.39/1.60  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.39/1.60  
% 1.39/1.60  
% 1.39/1.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.39/1.60  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.39/1.60  
% 1.39/1.60  RuleSystem INPUT:
% 1.39/1.60  
% 1.39/1.60  Initial Rules:
% 1.39/1.60  #0: input, references = 10, size of lhs = 1:
% 1.39/1.60     P_intersection-{F}(V0,V1,V2) | subset-{T}(V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #1: input, references = 6, size of lhs = 3:
% 1.39/1.60     subset-{F}(V0,V1), P_intersection-{F}(V2,V1,V3), subset-{F}(V0,V2) | subset-{T}(V0,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #2: input, references = 3, size of lhs = 2:
% 1.39/1.60     P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #3: input, references = 3, size of lhs = 2:
% 1.39/1.60     P_intersection-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #4: input, references = 3, size of lhs = 1:
% 1.39/1.60     pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #5: input, references = 3, size of lhs = 1:
% 1.39/1.60     pppp0-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #6: input, references = 3, size of lhs = 2:
% 1.39/1.60     member-{F}(V2,V0), member-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #7: input, references = 9, size of lhs = 1:
% 1.39/1.60     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #8: input, references = 8, size of lhs = 1:
% 1.39/1.60     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #9: input, references = 6, size of lhs = 2:
% 1.39/1.60     pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #10: input, references = 11, size of lhs = 2:
% 1.39/1.60     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp11-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #11: input, references = 4, size of lhs = 1:
% 1.39/1.60     pppp11-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #12: input, references = 6, size of lhs = 2:
% 1.39/1.60     pppp5-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #13: input, references = 4, size of lhs = 1:
% 1.39/1.60     pppp5-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #14: input, references = 3, size of lhs = 1:
% 1.39/1.60     #-{F} V1 | pppp2-{T}(V1,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #15: input, references = 8, size of lhs = 2:
% 1.39/1.60     pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #16: input, references = 3, size of lhs = 1:
% 1.39/1.60     pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #17: input, references = 3, size of lhs = 1:
% 1.39/1.60     pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #18: input, references = 8, size of lhs = 2:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #19: input, references = 7, size of lhs = 3:
% 1.39/1.60     P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #20: input, references = 3, size of lhs = 1:
% 1.39/1.60     #-{F} V0 | subset-{T}(V0,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #21: input, references = 3, size of lhs = 1:
% 1.39/1.60     #-{F} V1 | pppp3-{T}(V1,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #22: input, references = 3, size of lhs = 2:
% 1.39/1.60     pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #23: input, references = 3, size of lhs = 2:
% 1.39/1.60     pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #24: input, references = 3, size of lhs = 2:
% 1.39/1.60     pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #25: input, references = 4, size of lhs = 2:
% 1.39/1.60     #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp12-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #26: input, references = 3, size of lhs = 1:
% 1.39/1.60     pppp12-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #27: input, references = 7, size of lhs = 3:
% 1.39/1.60     pppp6-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #28: input, references = 5, size of lhs = 1:
% 1.39/1.60     pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #29: input, references = 4, size of lhs = 0:
% 1.39/1.60     FALSE | EXISTS V0: pppp9-{T}(V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #30: input, references = 4, size of lhs = 1:
% 1.39/1.60     pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #31: input, references = 5, size of lhs = 1:
% 1.39/1.60     pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #32: input, references = 4, size of lhs = 3:
% 1.39/1.60     pppp7-{F}(V3,V1,V2), P_intersection-{F}(V1,V2,V3), pppp4-{F}(V3,V1,V2) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #33: input, references = 9, size of lhs = 3:
% 1.39/1.60     pppp7-{F}(V0,V1,V2), P_intersection-{F}(V1,V2,V3), V0 == V3 | pppp4-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #34: input, references = 6, size of lhs = 1:
% 1.39/1.60     pppp4-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #35: input, references = 5, size of lhs = 1:
% 1.39/1.60     pppp4-{F}(V0,V1,V2) | subset-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #36: input, references = 9, size of lhs = 3:
% 1.39/1.60     pppp4-{F}(V0,V1,V2), subset-{F}(V3,V1), subset-{F}(V3,V2) | subset-{T}(V3,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #37: input, references = 7, size of lhs = 2:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V0,V2) | pppp4-{T}(V0,V1,V2), pppp13-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #38: input, references = 6, size of lhs = 1:
% 1.39/1.60     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #39: input, references = 7, size of lhs = 2:
% 1.39/1.60     pppp10-{F}(V0,V1,V2,V3), subset-{F}(V3,V0) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #40: input, references = 5, size of lhs = 1:
% 1.39/1.60     pppp10-{F}(V0,V1,V2,V3) | subset-{T}(V3,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #41: input, references = 5, size of lhs = 1:
% 1.39/1.60     pppp10-{F}(V0,V1,V2,V3) | subset-{T}(V3,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #42: input, references = 8, size of lhs = 2:
% 1.39/1.60     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  number of initial rules = 43
% 1.39/1.60  
% 1.39/1.60  Simplifiers:
% 1.39/1.60  #43: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #44: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #45: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #46: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #47: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #48: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #49: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #50: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #51: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #52: unsound, references = 3, size of lhs = 3:
% 1.39/1.60     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  number of simplifiers = 10
% 1.39/1.60  
% 1.39/1.60  Learnt:
% 1.39/1.60  #54: disj( #25, input ), references = 1, size of lhs = 3:
% 1.39/1.60     #-{F} V0, #-{F} V1, V0 == V1 | pppp12-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #59: exists( #42, #57 ), references = 6, size of lhs = 2:
% 1.39/1.60     subset-{F}(V0,V0), subset-{F}(V0,V1) | P_intersection-{T}(V0,V1,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #62: disj( #28, #9+#27 ), references = 4, size of lhs = 3:
% 1.39/1.60     pppp1-{F}(V0,V1), pppp6-{F}(V1,V0,V2), pppp6-{F}(V3,V0,V2) | member-{T}(V2,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #64: exists( #42, #19 ), references = 4, size of lhs = 1:
% 1.39/1.60     P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #67: disj( #28, #9+#27 ), references = 2, size of lhs = 3:
% 1.39/1.60     pppp1-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2) | member-{T}(V2,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #70: exists( #38, #68 ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp13-{F}(V0,V1,V0) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #72: disj( #37, exists( #38, #68 ) ), references = 1, size of lhs = 2:
% 1.39/1.60     subset-{F}(V0,V0), subset-{F}(V0,V1) | pppp4-{T}(V0,V1,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #76: exists( #11, #74 ), references = 7, size of lhs = 2:
% 1.39/1.60     pppp11-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #96: disj( #10, #62+#27 ), references = 1, size of lhs = 4:
% 1.39/1.60     member-{F}(V0,V1), pppp6-{F}(V2,V1,V0), pppp6-{F}(V2,V3,V0), pppp6-{F}(V4,V3,V0) | pppp11-{T}(V3,V4)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #112: disj( #37, #36+#18+#15 ), references = 1, size of lhs = 6:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V0,V2), subset-{F}(V0,V3), V3 == V0, subset-{F}(V3,V1), subset-{F}(V3,V2) | pppp13-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #113: disj( #37, #36+#59+#19 ), references = 1, size of lhs = 7:
% 1.39/1.60     subset-{F}(V0,V0), subset-{F}(V0,V1), subset-{F}(V2,V1), subset-{F}(V2,V3), subset-{F}(V0,V3), P_intersection-{F}(V2,V0,V4), V4 == V0 | pppp13-{T}(V2,V1,V3)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #114: disj( #37, #36+#7+#76 ), references = 1, size of lhs = 5:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V0,V2), pppp11-{F}(V0,V3), subset-{F}(V3,V1), subset-{F}(V3,V2) | pppp13-{T}(V3,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #146: disj( #10, #8+#59+#33+#34+#36+#18+#15 ), references = 1, size of lhs = 3:
% 1.39/1.60     subset-{F}(V0,V0), pppp7-{F}(V1,V0,V2), V1 == V0 | pppp11-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #172: disj( #10, #8+#59+#64+#33+#35+#36+#18+#15 ), references = 1, size of lhs = 3:
% 1.39/1.60     subset-{F}(V0,V0), pppp7-{F}(V1,V2,V0), V1 == V0 | pppp11-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #186: exists( #42, #184 ), references = 2, size of lhs = 2:
% 1.39/1.60     pppp11-{F}(V0,V1), pppp7-{F}(V0,V2,V1) | P_intersection-{T}(V2,V1,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #195: disj( #10, #185+#0+#7+#76 ), references = 1, size of lhs = 2:
% 1.39/1.60     pppp11-{F}(V0,V1), pppp7-{F}(V0,V1,V2) | pppp1-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #196: disj( #10, #185+#0+#59+#19 ), references = 1, size of lhs = 4:
% 1.39/1.60     subset-{F}(V0,V0), pppp7-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V3 == V0 | pppp1-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #214: exists( #42, #210 ), references = 1, size of lhs = 2:
% 1.39/1.60     pppp11-{F}(V0,V1), pppp7-{F}(V0,V1,V2) | P_intersection-{T}(V1,V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #215: exists( #42, #211 ), references = 1, size of lhs = 4:
% 1.39/1.60     subset-{F}(V0,V0), pppp7-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V3 == V0 | P_intersection-{T}(V1,V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #224: exists( #31, #220 ), references = 1, size of lhs = 2:
% 1.39/1.60     pppp8-{F}(V0,V1), pppp11-{F}(V0,V1) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #226: disj( #10, exists( #31, #220 ) ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp8-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #231: disj( #10, #62+#12 ), references = 1, size of lhs = 3:
% 1.39/1.60     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), pppp5-{F}(V4,V3,V2) | pppp11-{T}(V1,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #267: disj( #10, #8+#39 ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp10-{F}(V0,V1,V2,V3) | pppp11-{T}(V3,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #268: disj( #10, #62+#27 ), references = 1, size of lhs = 4:
% 1.39/1.60     member-{F}(V0,V1), pppp6-{F}(V1,V2,V0), pppp6-{F}(V2,V3,V0), pppp6-{F}(V4,V3,V0) | pppp11-{T}(V3,V4)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #269: disj( #10, #67+#12 ), references = 1, size of lhs = 3:
% 1.39/1.60     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), pppp5-{F}(V4,V3,V2) | pppp11-{T}(V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #299: exists( #38, #297 ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp13-{F}(V0,V0,V1) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #301: disj( #37, exists( #38, #297 ) ), references = 1, size of lhs = 2:
% 1.39/1.60     subset-{F}(V0,V0), subset-{F}(V0,V1) | pppp4-{T}(V0,V0,V1)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #310: disj( #10, #186+#64+#0+#7+#76 ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp7-{F}(V0,V1,V2) | pppp1-{T}(V0,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #341: exists( #42, #337 ), references = 1, size of lhs = 3:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V0,V2), pppp7-{F}(V0,V1,V2) | P_intersection-{T}(V1,V2,V0)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #360: exists( #38, #358 ), references = 1, size of lhs = 2:
% 1.39/1.60     pppp13-{F}(V0,V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #362: disj( #37, exists( #38, #358 ) ), references = 1, size of lhs = 3:
% 1.39/1.60     subset-{F}(V0,V1), subset-{F}(V0,V2), P_intersection-{F}(V1,V2,V0) | pppp4-{T}(V0,V1,V2)
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #368: exists( #31, #366 ), references = 1, size of lhs = 2:
% 1.39/1.60     pppp8-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #372: exists( #30, #370 ), references = 1, size of lhs = 1:
% 1.39/1.60     pppp9-{F}(V0) | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  #374: exists( #29, #371 ), references = 1, size of lhs = 0:
% 1.39/1.60     FALSE | FALSE
% 1.39/1.60        (used 0 times, uses = {})
% 1.39/1.60  
% 1.39/1.60  number of learnt formulas = 34
% 1.39/1.60  
% 1.39/1.60  
% 1.39/1.60  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.39/1.60  
% 1.39/1.60  randbase = 1
%------------------------------------------------------------------------------