TSTP Solution File: SET642+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:16:32 EDT 2022

% Result   : Theorem 0.77s 0.93s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n003.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 : Sat Jul 23 01:59:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.77/0.93  GeoParameters:
% 0.77/0.93  
% 0.77/0.93  tptp_input =     1
% 0.77/0.93  tptp_output =    0
% 0.77/0.93  nonempty =       1
% 0.77/0.93  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/0.93  
% 0.77/0.93  
% 0.77/0.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93  
% 0.77/0.93  RuleSystem INPUT:
% 0.77/0.93  
% 0.77/0.93  Initial Rules:
% 0.77/0.93  #0: input, references = 4, size of lhs = 8:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V3,V0), ilf_type-{F}(V6,V5), subset-{F}(V1,V6) | subset-{T}(V1,V4)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #1: input, references = 4, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V3,V0), subset-{F}(V1,V4) | ilf_type-{T}(V1,V5)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #2: input, references = 3, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V4) | ilf_type-{T}(V6,V5)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #3: input, references = 3, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V4)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #4: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V2,V1,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp4-{T}(V3,V4)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #5: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp4-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #6: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2) | pppp0-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #7: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp0-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #8: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), pppp0-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #9: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp0-{T}(V1,V2), pppp17-{T}(V1,V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #10: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #11: input, references = 3, size of lhs = 2:
% 0.77/0.93     pppp5-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #12: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp5-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #13: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp5-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #14: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #15: input, references = 3, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V2) | ilf_type-{T}(V5,V4)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #16: input, references = 3, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V4) | ilf_type-{T}(V5,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #17: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp6-{T}(V2,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #18: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp6-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #19: input, references = 3, size of lhs = 2:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0) | subset-{T}(V1,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #20: input, references = 3, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V3) | pppp1-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #21: input, references = 3, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), pppp1-{F}(V1,V2) | member-{T}(V1,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #22: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), pppp1-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #23: input, references = 4, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp18-{T}(V1,V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #24: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #25: input, references = 4, size of lhs = 2:
% 0.77/0.93     pppp7-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #26: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp7-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #27: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp7-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #28: input, references = 4, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0), empty-{F}(V2) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #29: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0) | ilf_type-{T}(V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #30: input, references = 3, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V1,V3) | empty-{T}(V2), member-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #31: input, references = 3, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V2) | empty-{T}(V2), ilf_type-{T}(V1,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #32: input, references = 4, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), P_member_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | empty-{T}(V1), pppp19-{T}(V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #33: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp19-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #34: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp8-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #35: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #36: input, references = 4, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp2-{F}(V1) | empty-{T}(V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #37: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), pppp2-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #38: input, references = 5, size of lhs = 2:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1 | pppp2-{T}(V1), pppp20-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #39: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp20-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #40: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp9-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #41: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp9-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #42: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), relation_like-{F}(V1) | pppp3-{T}(V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #43: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1) | relation_like-{T}(V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #44: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), pppp3-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | EXISTS V3: pppp11-{T}(V2,V3,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #45: input, references = 3, size of lhs = 2:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp21-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #46: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp21-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #47: input, references = 3, size of lhs = 4:
% 0.77/0.93     pppp12-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #48: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #49: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #50: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #51: input, references = 3, size of lhs = 1:
% 0.77/0.93     pppp11-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #52: input, references = 4, size of lhs = 3:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #53: input, references = 3, size of lhs = 2:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #54: input, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), empty-{F}(V1), ilf_type-{F}(V1,V0) | relation_like-{T}(V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #55: input, references = 3, size of lhs = 6:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), ilf_type-{F}(V2,V0), ilf_type-{F}(V5,V4) | relation_like-{T}(V5)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #56: input, references = 3, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_ordered_pair-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #57: input, references = 4, size of lhs = 2:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1 | ilf_type-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #58: input, references = 4, size of lhs = 1:
% 0.77/0.93     P_set_type-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #59: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #60: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp16-{F}(V0,V1) | ilf_type-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #61: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #62: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #63: input, references = 4, size of lhs = 2:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V1,V2,V4) | EXISTS V5: pppp13-{T}(V0,V5,V4)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #64: input, references = 4, size of lhs = 3:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V0,V4) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #65: input, references = 3, size of lhs = 2:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #66: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp13-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #67: input, references = 4, size of lhs = 1:
% 0.77/0.93     pppp13-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #68: input, references = 4, size of lhs = 0:
% 0.77/0.93     FALSE | EXISTS V0: P_set_type-{T}(V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #69: input, references = 4, size of lhs = 2:
% 0.77/0.93     #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #70: input, references = 4, size of lhs = 2:
% 0.77/0.93     #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #71: input, references = 3, size of lhs = 1:
% 0.77/0.93     #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #72: input, references = 3, size of lhs = 1:
% 0.77/0.93     #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #73: input, references = 3, size of lhs = 1:
% 0.77/0.93     #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #74: input, references = 4, size of lhs = 2:
% 0.77/0.93     #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  number of initial rules = 75
% 0.77/0.93  
% 0.77/0.93  Simplifiers:
% 0.77/0.93  #75: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #76: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #77: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #78: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #79: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #80: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #81: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #82: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #83: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #84: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #85: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #86: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #87: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #88: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #89: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #90: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #91: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #92: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #93: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #94: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #95: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #96: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #97: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #98: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #99: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #100: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #101: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #102: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #103: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #104: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #105: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #106: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #107: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #108: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #109: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #110: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #111: unsound, references = 3, size of lhs = 3:
% 0.77/0.93     pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  number of simplifiers = 37
% 0.77/0.93  
% 0.77/0.93  Learnt:
% 0.77/0.93  #116: mergings( V0 == V2, V2 == V3; #113 ), references = 1, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0) | pppp20-{T}(V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #119: exists( #24, #117 ), references = 1, size of lhs = 1:
% 0.77/0.93     pppp18-{F}(V0,V0,V1) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #121: disj( #23, exists( #24, #117 ) ), references = 1, size of lhs = 2:
% 0.77/0.93     P_set_type-{F}(V0), #-{F} V1 | pppp1-{T}(V1,V1)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #124: mergings( V0 == V3; #122 ), references = 1, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3) | pppp19-{T}(V3)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #127: mergings( V0 == V2; #125 ), references = 1, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2) | pppp20-{T}(V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #129: exists( #74, #52 ), references = 1, size of lhs = 1:
% 0.77/0.93     pppp10-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #148: mergings( V6 == V10, V3 == V16, V1 == V14, V2 == V15, V4 == V13; #142 ), references = 1, size of lhs = 12:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_relation_type-{F}(V6,V7,V4), P_relation_type-{F}(V8,V9,V4), pppp14-{F}(V5,V8,V9,V10) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #155: mergings( V3 == V6, V5 == V7, V10 == V13, V8 == V11, V9 == V12; #149 ), references = 1, size of lhs = 7:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_relation_type-{F}(V2,V3,V4), P_relation_type-{F}(V5,V6,V4), pppp14-{F}(V1,V5,V6,V7) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #159: mergings( V3 == V5, V6 == V7; #156 ), references = 1, size of lhs = 5:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), pppp14-{F}(V1,V2,V3,V4) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #162: exists( #61, #160 ), references = 2, size of lhs = 4:
% 0.77/0.93     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp15-{F}(V1,V2,V3) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #165: exists( #59, #163 ), references = 2, size of lhs = 3:
% 0.77/0.93     P_set_type-{F}(V0), pppp16-{F}(V1,V0), ilf_type-{F}(V1,V0) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #168: exists( #58, #166 ), references = 1, size of lhs = 1:
% 0.77/0.93     P_set_type-{F}(V0) | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  #170: exists( #68, #167 ), references = 1, size of lhs = 0:
% 0.77/0.93     FALSE | FALSE
% 0.77/0.93        (used 0 times, uses = {})
% 0.77/0.93  
% 0.77/0.93  number of learnt formulas = 13
% 0.77/0.93  
% 0.77/0.93  
% 0.77/0.93  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93  
% 0.77/0.93  randbase = 1
%------------------------------------------------------------------------------