TSTP Solution File: SEU383+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:57 EDT 2022
% Result : Theorem 11.57s 11.78s
% Output : Refutation 11.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 19:24:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.57/11.78 GeoParameters:
% 11.57/11.78
% 11.57/11.78 tptp_input = 1
% 11.57/11.78 tptp_output = 0
% 11.57/11.78 nonempty = 1
% 11.57/11.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/11.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 11.57/11.78
% 11.57/11.78
% 11.57/11.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/11.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/11.78
% 11.57/11.78 RuleSystem INPUT:
% 11.57/11.78
% 11.57/11.78 Initial Rules:
% 11.57/11.78 #0: input, references = 7, size of lhs = 2:
% 11.57/11.78 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1: input, references = 3, size of lhs = 1:
% 11.57/11.78 empty-{F}(V0) | finite-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #2: input, references = 3, size of lhs = 2:
% 11.57/11.78 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #3: input, references = 3, size of lhs = 3:
% 11.57/11.78 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #4: input, references = 3, size of lhs = 2:
% 11.57/11.78 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #5: input, references = 3, size of lhs = 3:
% 11.57/11.78 rel_str-{F}(V0), reflexive_relstr-{F}(V0), v1_yellow_3-{F}(V0) | empty_carrier-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #6: input, references = 5, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_join_on_relstr-{F}(V1,V0,V3), rel_str-{F}(V1), V2 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #7: input, references = 4, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), rel_str-{F}(V1), element-{F}(V4,V3), upper_relstr_subset-{F}(V4,V1) | pppp0-{T}(V1,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #8: input, references = 3, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), rel_str-{F}(V1), element-{F}(V4,V3), pppp0-{F}(V1,V4) | upper_relstr_subset-{T}(V4,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #9: input, references = 5, size of lhs = 7:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V3), pppp0-{F}(V1,V2), element-{F}(V4,V3), in-{F}(V4,V2), element-{F}(V5,V3), related-{F}(V1,V4,V5) | in-{T}(V5,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #10: input, references = 7, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), #-{F} V2, P_the_carrier-{F}(V1,V3) | pppp0-{T}(V1,V2), pppp21-{T}(V1,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #11: input, references = 5, size of lhs = 1:
% 11.57/11.78 pppp21-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V3,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #12: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp2-{F}(V0,V1,V2,V3) | EXISTS V4: pppp1-{T}(V0,V1,V2,V4,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #13: input, references = 8, size of lhs = 1:
% 11.57/11.78 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #14: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp2-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #15: input, references = 5, size of lhs = 2:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4), in-{F}(V3,V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #16: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4) | related-{T}(V0,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #17: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #18: input, references = 11, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), P_join_on_relstr-{F}(V1,V3,V4) | element-{T}(V4,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #19: input, references = 3, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_the_carrier-{F}(V1,V3), rel_str-{F}(V1) | element-{T}(V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #20: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), rel_str-{F}(V1) | one_sorted_str-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #21: input, references = 3, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #22: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp3-{F}(V0) | rel_str-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #23: input, references = 3, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #24: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp4-{F}(V0) | one_sorted_str-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #25: input, references = 6, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp5-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #26: input, references = 12, size of lhs = 1:
% 11.57/11.78 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #27: input, references = 6, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), one_sorted_str-{F}(V1), empty-{F}(V2) | empty_carrier-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #28: input, references = 3, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #29: input, references = 4, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | empty-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #30: input, references = 4, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), reflexive_relstr-{F}(V1), transitive_relstr-{F}(V1), rel_str-{F}(V1) | empty_carrier-{T}(V1), pppp22-{T}(V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #31: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp22-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #32: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp6-{F}(V0,V1,V2) | upper_relstr_subset-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #33: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp6-{F}(V0,V1,V2) | filtered_subset-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #34: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp6-{F}(V0,V1,V2), empty-{F}(V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #35: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp6-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #36: input, references = 3, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #37: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp7-{F}(V0) | finite-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #38: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #39: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp23-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #40: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp23-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #41: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #42: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #43: input, references = 4, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #44: input, references = 5, size of lhs = 1:
% 11.57/11.78 pppp9-{F}(V0) | empty-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #45: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp10-{T}(V3,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #46: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp10-{F}(V0,V1) | empty-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #47: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #48: input, references = 3, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #49: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #50: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp24-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #51: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp24-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #52: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #53: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #54: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #55: input, references = 3, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #56: input, references = 5, size of lhs = 2:
% 11.57/11.78 pppp13-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #57: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp13-{F}(V0) | one_sorted_str-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #58: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp25-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #59: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp25-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #60: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #61: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp14-{F}(V0,V1), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #62: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #63: input, references = 4, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V1) | empty_carrier-{T}(V1), pppp26-{T}(V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #64: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp26-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #65: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp15-{F}(V0,V1), empty-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #66: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp15-{F}(V0,V1) | element-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #67: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #68: input, references = 12, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #69: input, references = 4, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #70: input, references = 9, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | EXISTS V3: pppp16-{T}(V1,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #71: input, references = 14, size of lhs = 3:
% 11.57/11.78 pppp16-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #72: input, references = 9, size of lhs = 1:
% 11.57/11.78 pppp16-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #73: input, references = 3, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #74: input, references = 4, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #75: input, references = 4, size of lhs = 7:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_bottom_of_relstr-{F}(V1,V3), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V4,V2) | empty_carrier-{T}(V1), related-{T}(V1,V3,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #76: input, references = 6, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #77: input, references = 8, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #78: input, references = 6, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V1,V3), proper_element-{F}(V1,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #79: input, references = 5, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), V2 == V1 | proper_element-{T}(V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #80: input, references = 5, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #81: input, references = 5, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #82: input, references = 4, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #83: input, references = 4, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #84: input, references = 14, size of lhs = 4:
% 11.57/11.78 pppp20-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_bottom_of_relstr-{F}(V0,V3) | pppp19-{T}(V0,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #85: input, references = 5, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V1,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #86: input, references = 13, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | rel_str-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #87: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | lower_bounded_relstr-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #88: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | antisymmetric_relstr-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #89: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | transitive_relstr-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #90: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp19-{F}(V0,V1,V2) | reflexive_relstr-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #91: input, references = 5, size of lhs = 2:
% 11.57/11.78 pppp19-{F}(V0,V1,V2), empty_carrier-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #92: input, references = 8, size of lhs = 1:
% 11.57/11.78 pppp18-{F}(V0,V1,V2,V3) | pppp17-{T}(V0,V3,V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #93: input, references = 5, size of lhs = 2:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), proper_element-{F}(V1,V2) | in-{T}(V3,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #94: input, references = 6, size of lhs = 2:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), in-{F}(V3,V1) | proper_element-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #95: input, references = 5, size of lhs = 1:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #96: input, references = 4, size of lhs = 1:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3) | upper_relstr_subset-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #97: input, references = 3, size of lhs = 1:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3) | filtered_subset-{T}(V1,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #98: input, references = 3, size of lhs = 2:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), empty-{F}(V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #99: input, references = 12, size of lhs = 1:
% 11.57/11.78 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #100: input, references = 5, size of lhs = 1:
% 11.57/11.78 #-{F} V0 | EXISTS V1: P_bottom_of_relstr-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #101: input, references = 6, size of lhs = 2:
% 11.57/11.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_join_on_relstr-{T}(V0,V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #102: input, references = 4, size of lhs = 0:
% 11.57/11.78 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #103: input, references = 4, size of lhs = 1:
% 11.57/11.78 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 number of initial rules = 104
% 11.57/11.78
% 11.57/11.78 Simplifiers:
% 11.57/11.78 #104: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 reflexive_relstr-{F}(V0), reflexive_relstr-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #105: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 transitive_relstr-{F}(V0), transitive_relstr-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #106: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 filtered_subset-{F}(V0,V1), filtered_subset-{F}(V2,V3), V1 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #107: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 antisymmetric_relstr-{F}(V0), antisymmetric_relstr-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #108: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 lower_bounded_relstr-{F}(V0), lower_bounded_relstr-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #109: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #110: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 P_bottom_of_relstr-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V3), V1 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #111: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 P_join_on_relstr-{F}(V0,V1,V2), P_join_on_relstr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #112: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #113: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #114: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #115: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V7,V8,V4), V2 == V7 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #116: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #117: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #118: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #119: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #120: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #121: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #122: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V2), V1 == V4 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #123: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #124: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #125: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #126: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #127: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #128: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #129: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #130: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #131: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #132: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #133: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #134: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #135: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #136: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #137: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #138: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #139: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #140: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V0 == V3 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #141: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V5), V2 == V5 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #142: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #143: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V5), V2 == V5 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #144: unsound, references = 3, size of lhs = 3:
% 11.57/11.78 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V0 == V2 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 number of simplifiers = 41
% 11.57/11.78
% 11.57/11.78 Learnt:
% 11.57/11.78 #151: mergings( V0 == V2; #148 ), references = 1, size of lhs = 1:
% 11.57/11.78 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #153: mergings( V0 == V2; #149 ), references = 1, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #156: exists( #99, #154 ), references = 1, size of lhs = 4:
% 11.57/11.78 pppp20-{F}(V0), empty_carrier-{F}(V0), P_the_carrier-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V2) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #162: mergings( V0 == V3; #158 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp23-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #165: mergings( V0 == V3, V1 == V3; #159 ), references = 1, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp23-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #167: mergings( V1 == V0; #160 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp23-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #169: exists( #101, #6 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), rel_str-{F}(V1), P_bottom_of_relstr-{F}(V1,V2) | P_join_on_relstr-{T}(V1,V0,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #184: mergings( V0 == V3; #180 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp24-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #187: mergings( V0 == V3, V1 == V3; #181 ), references = 1, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp24-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #189: mergings( V1 == V0; #182 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp24-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #195: mergings( V0 == V3; #191 ), references = 2, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #197: mergings( V0 == V3; #192 ), references = 16, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #200: mergings( V0 == V3, V2 == V3; #193 ), references = 1, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #214: mergings( V0 == V3; #210 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp25-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #217: mergings( V0 == V3, V1 == V3; #211 ), references = 1, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp25-{T}(V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #219: mergings( V1 == V0; #212 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp25-{T}(V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #242: mergings( V0 == V4; #240 ), references = 1, size of lhs = 2:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp10-{T}(V0,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #256: disj( #72, input ), references = 1, size of lhs = 1:
% 11.57/11.78 pppp16-{F}(V0,V1,V0) | in-{T}(V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #266: mergings( V3 == V5; #264 ), references = 1, size of lhs = 6:
% 11.57/11.78 pppp20-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), P_bottom_of_relstr-{F}(V0,V3), P_join_on_relstr-{F}(V0,V2,V4), V3 == V4 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #269: mergings( V4 == V5; #267 ), references = 2, size of lhs = 4:
% 11.57/11.78 pppp20-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), P_bottom_of_relstr-{F}(V0,V3) | P_join_on_relstr-{T}(V0,V2,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #296: mergings( V0 == V3, V3 == V4; #293 ), references = 10, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #302: mergings( V0 == V3, V3 == V4, V4 == V5; #298 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp5-{T}(V2,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #321: mergings( V4 == V5, V0 == V6; #318 ), references = 1, size of lhs = 6:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), P_the_carrier-{F}(V0,V3), P_join_on_relstr-{F}(V0,V4,V3), P_powerset-{F}(V5,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #345: disj( #72, input ), references = 2, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V2,V1,V3) | in-{T}(V3,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #347: mergings( V1 == V3; #343 ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp16-{F}(V3,V0,V4) | in-{T}(V4,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #348: disj( #72, input ), references = 3, size of lhs = 2:
% 11.57/11.78 in-{F}(V0,V1), pppp16-{F}(V2,V0,V1) | in-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #355: mergings( V0 == V4, V4 == V5, V5 == V6; #351 ), references = 1, size of lhs = 5:
% 11.57/11.78 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), V3 == V0 | pppp16-{T}(V3,V0,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #393: mergings( V4 == V5, V5 == V6, V0 == V8; #387 ), references = 1, size of lhs = 8:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_the_carrier-{F}(V0,V4), V4 == V2, pppp16-{F}(V3,V5,V4), P_join_on_relstr-{F}(V0,V6,V5) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #398: mergings( V4 == V5, V5 == V6, V0 == V10, V9 == V6; #388 ), references = 1, size of lhs = 10:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V2,V4), P_the_carrier-{F}(V0,V5), V5 == V2, pppp16-{F}(V2,V6,V5), P_join_on_relstr-{F}(V0,V7,V6) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #439: disj( #72, input ), references = 3, size of lhs = 2:
% 11.57/11.78 in-{F}(V0,V1), pppp16-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #440: disj( #72, input ), references = 2, size of lhs = 3:
% 11.57/11.78 in-{F}(V0,V1), pppp16-{F}(V1,V2,V0), pppp16-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #497: mergings( V3 == V4; #494 ), references = 2, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp16-{F}(V2,V3,V4), V4 == V0 | in-{T}(V4,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #498: disj( #72, #440+#71 ), references = 1, size of lhs = 4:
% 11.57/11.78 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V3,V2), pppp16-{F}(V3,V4,V2), pppp16-{F}(V0,V4,V2) | in-{T}(V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #533: mergings( V0 == V3, V3 == V4, V4 == V5; #529 ), references = 6, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp5-{T}(V4,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #594: mergings( V0 == V4, V4 == V6, V6 == V7; #590 ), references = 7, size of lhs = 8:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V6,V5), V1 == V6 | pppp16-{T}(V1,V6,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #599: mergings( V0 == V1, V1 == V4, V4 == V5; #595 ), references = 1, size of lhs = 10:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V1), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V2,V6), V1 == V6, element-{F}(V6,V5) | pppp16-{T}(V1,V6,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #617: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V17, V17 == V18; #606 ), references = 2, size of lhs = 13:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), V1 == V4, empty-{F}(V5), P_powerset-{F}(V5,V6), P_empty_set-{F}(V7), in-{F}(V7,V6), empty-{F}(V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V4) | pppp16-{T}(V1,V4,V7), pppp16-{T}(V1,V4,V6)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #635: mergings( V6 == V9; #633 ), references = 1, size of lhs = 11:
% 11.57/11.78 pppp24-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4) | pppp12-{T}(V4,V0), pppp12-{T}(V7,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #638: mergings( V5 == V8; #636 ), references = 1, size of lhs = 12:
% 11.57/11.78 pppp24-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4), empty-{F}(V7) | pppp12-{T}(V4,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #659: mergings( V6 == V9; #657 ), references = 1, size of lhs = 11:
% 11.57/11.78 pppp25-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4) | pppp14-{T}(V4,V0), pppp14-{T}(V7,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #662: mergings( V5 == V8; #660 ), references = 1, size of lhs = 12:
% 11.57/11.78 pppp25-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4), empty-{F}(V7) | pppp14-{T}(V4,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #711: exists( #11, #708 ), references = 4, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp21-{F}(V3,V4,V2) | pppp2-{T}(V3,V4,V0,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #737: exists( #12, #734 ), references = 2, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V4,V5,V2) | pppp1-{T}(V3,V4,V5,V0,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #743: mergings( V0 == V4, V4 == V6; #740 ), references = 1, size of lhs = 7:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V1), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V1), in-{F}(V3,V5) | pppp0-{T}(V2,V5)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #781: mergings( V4 == V5, V0 == V6; #778 ), references = 1, size of lhs = 7:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), P_the_carrier-{F}(V0,V3), V3 == V2, in-{F}(V3,V4), P_join_on_relstr-{F}(V0,V5,V4) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #797: mergings( V0 == V1; #793 ), references = 1, size of lhs = 4:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_the_carrier-{F}(V3,V2) | pppp0-{T}(V3,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #799: mergings( V0 == V4; #795 ), references = 1, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_the_carrier-{F}(V3,V2), in-{F}(V0,V4), pppp16-{F}(V4,V5,V0) | pppp0-{T}(V3,V5)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #801: mergings( V0 == V5; #794 ), references = 1, size of lhs = 7:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V1), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V1), #-{F} V5 | pppp0-{T}(V2,V5)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #815: disj( #617, input ), references = 1, size of lhs = 15:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), V1 == V4, empty-{F}(V5), P_powerset-{F}(V5,V6), P_empty_set-{F}(V7), in-{F}(V7,V6), in-{F}(V7,V4), in-{F}(V7,V1), empty-{F}(V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V4) | pppp16-{T}(V1,V4,V6)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #863: mergings( V4 == V5, V5 == V6, V6 == V7, V0 == V10; #857 ), references = 1, size of lhs = 9:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), V5 == V2, pppp16-{F}(V6,V4,V5), P_join_on_relstr-{F}(V0,V7,V6) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #868: mergings( V4 == V5, V5 == V6, V6 == V7, V0 == V10; #858 ), references = 1, size of lhs = 9:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), V5 == V2, pppp16-{F}(V6,V4,V5), P_join_on_relstr-{F}(V0,V7,V6) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #916: mergings( V3 == V4; #914 ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V2), pppp16-{F}(V3,V4,V5) | in-{T}(V5,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #924: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V9; #919 ), references = 1, size of lhs = 7:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V2,V1), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), V2 == V5 | pppp16-{T}(V2,V5,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #942: mergings( V3 == V5; #940 ), references = 1, size of lhs = 6:
% 11.57/11.78 rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V1), #-{F} V4 | P_join_on_relstr-{T}(V0,V4,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #949: disj( #63, input ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp13-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp26-{T}(V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #950: disj( #63, input ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp19-{F}(V1,V4,V5) | pppp26-{T}(V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #952: mergings( V2 == V4; #948 ), references = 1, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp20-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_bottom_of_relstr-{F}(V1,V4) | pppp26-{T}(V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #978: disj( #30, input ), references = 1, size of lhs = 7:
% 11.57/11.78 P_empty_set-{F}(V0), reflexive_relstr-{F}(V1), transitive_relstr-{F}(V1), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp19-{F}(V1,V4,V5) | pppp22-{T}(V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #980: mergings( V2 == V4; #976 ), references = 1, size of lhs = 8:
% 11.57/11.78 P_empty_set-{F}(V0), reflexive_relstr-{F}(V1), transitive_relstr-{F}(V1), rel_str-{F}(V1), pppp20-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_bottom_of_relstr-{F}(V1,V4) | pppp22-{T}(V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #981: disj( #30, input ), references = 1, size of lhs = 7:
% 11.57/11.78 P_empty_set-{F}(V0), reflexive_relstr-{F}(V1), transitive_relstr-{F}(V1), rel_str-{F}(V1), pppp13-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp22-{T}(V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1003: mergings( V6 == V9; #1001 ), references = 1, size of lhs = 11:
% 11.57/11.78 pppp26-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4) | pppp15-{T}(V4,V0), pppp15-{T}(V7,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1006: mergings( V5 == V8; #1004 ), references = 1, size of lhs = 12:
% 11.57/11.78 pppp26-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4), empty-{F}(V7) | pppp15-{T}(V4,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1038: mergings( V4 == V2; #1036 ), references = 1, size of lhs = 9:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V1), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), pppp19-{F}(V6,V5,V2), P_powerset-{F}(V7,V5) | pppp18-{T}(V6,V5,V2,V1), pppp18-{T}(V6,V5,V2,V7)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1044: mergings( V0 == V3, V3 == V9; #1041 ), references = 1, size of lhs = 11:
% 11.57/11.78 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4), element-{F}(V1,V4), P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), in-{F}(V6,V1), pppp19-{F}(V7,V4,V6) | pppp18-{T}(V7,V4,V6,V5)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1148: disj( #75, input ), references = 2, size of lhs = 8:
% 11.57/11.78 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_bottom_of_relstr-{F}(V1,V3), element-{F}(V4,V2), pppp19-{F}(V1,V5,V6) | related-{T}(V1,V3,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1151: mergings( V3 == V6, V2 == V5; #1146 ), references = 1, size of lhs = 8:
% 11.57/11.78 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1), pppp20-{F}(V1), P_the_carrier-{F}(V1,V2), element-{F}(V3,V2), P_bottom_of_relstr-{F}(V1,V4) | related-{T}(V1,V4,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1152: disj( #75, input ), references = 1, size of lhs = 8:
% 11.57/11.78 P_empty_set-{F}(V0), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1), pppp13-{F}(V1), P_the_carrier-{F}(V1,V2), P_bottom_of_relstr-{F}(V1,V3), element-{F}(V4,V2) | related-{T}(V1,V3,V4)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1171: mergings( V0 == V4, V3 == V5; #1168 ), references = 1, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V3,V4), element-{F}(V4,V2), related-{F}(V1,V3,V4) | pppp21-{T}(V1,V4,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1256: exists( #11, #1251 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), pppp21-{F}(V2,V1,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1258: mergings( V1 == V4; #1255 ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp21-{F}(V3,V0,V4) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1262: mergings( V0 == V4; #1259 ), references = 1, size of lhs = 3:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_the_carrier-{F}(V2,V3) | pppp0-{T}(V2,V1)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1265: mergings( V0 == V4, V1 == V4; #1260 ), references = 1, size of lhs = 5:
% 11.57/11.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_the_carrier-{F}(V3,V4) | pppp0-{T}(V3,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1682: mergings( V3 == V4; #1680 ), references = 1, size of lhs = 6:
% 11.57/11.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, element-{F}(V3,V2), pppp16-{F}(V1,V3,V4), pppp16-{F}(V5,V3,V4) | in-{T}(V4,V5)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1693: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10; #1687 ), references = 2, size of lhs = 14:
% 11.57/11.78 antisymmetric_relstr-{F}(V0), lower_bounded_relstr-{F}(V0), rel_str-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), P_the_carrier-{F}(V0,V3), V3 == V2, element-{F}(V1,V3), pppp0-{F}(V0,V4), V3 == V4, in-{F}(V1,V4), element-{F}(V4,V5), P_powerset-{F}(V3,V5), pppp19-{F}(V0,V6,V7) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1717: mergings( V4 == V5, V5 == V8, V6 == V9, V2 == V11; #1712 ), references = 1, size of lhs = 12:
% 11.57/11.78 antisymmetric_relstr-{F}(V0), lower_bounded_relstr-{F}(V0), rel_str-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2), P_the_carrier-{F}(V0,V3), V3 == V2, element-{F}(V1,V3), P_powerset-{F}(V3,V4), pppp19-{F}(V0,V4,V1), P_powerset-{F}(V5,V4), pppp19-{F}(V0,V6,V1) | pppp18-{T}(V0,V4,V1,V5), pppp18-{T}(V0,V4,V1,V3)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1726: mergings( V0 == V1, V1 == V7, V7 == V11, V3 == V8, V5 == V10; #1720 ), references = 1, size of lhs = 14:
% 11.57/11.78 antisymmetric_relstr-{F}(V0), lower_bounded_relstr-{F}(V0), rel_str-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_the_carrier-{F}(V0,V2), element-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp19-{F}(V0,V3,V1), P_empty_set-{F}(V4), V2 == V4, in-{F}(V1,V5), P_powerset-{F}(V5,V3), element-{F}(V5,V3), pppp19-{F}(V0,V6,V1) | pppp18-{T}(V0,V3,V1,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1741: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1735 ), references = 2, size of lhs = 8:
% 11.57/11.78 pppp20-{F}(V0), P_empty_set-{F}(V1), P_bottom_of_relstr-{F}(V0,V2), P_the_carrier-{F}(V0,V3), V3 == V1, element-{F}(V2,V3), in-{F}(V2,V3), subset-{F}(V3,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1758: mergings( V6 == V9; #1756 ), references = 1, size of lhs = 11:
% 11.57/11.78 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4) | pppp8-{T}(V4,V0), pppp8-{T}(V7,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1761: mergings( V5 == V8; #1759 ), references = 1, size of lhs = 12:
% 11.57/11.78 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), in-{F}(V7,V4), empty-{F}(V7) | pppp8-{T}(V4,V0)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1794: mergings( V0 == V4, V4 == V5, V5 == V10, V10 == V13; #1789 ), references = 1, size of lhs = 12:
% 11.57/11.78 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), V3 == V0, empty-{F}(V4), P_powerset-{F}(V4,V5), empty-{F}(V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V3), P_empty_set-{F}(V8), in-{F}(V8,V5) | pppp16-{T}(V3,V0,V5), pppp16-{T}(V3,V0,V8)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1827: mergings( V4 == V5, V5 == V8, V0 == V7, V2 == V6, V3 == V9; #1821 ), references = 1, size of lhs = 7:
% 11.57/11.78 pppp20-{F}(V0), P_the_carrier-{F}(V0,V1), subset-{F}(V1,V1), P_empty_set-{F}(V2), V1 == V2, P_bottom_of_relstr-{F}(V0,V3), P_join_on_relstr-{F}(V0,V4,V3) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1836: mergings( V5 == V4, V2 == V3, V3 == V6, V6 == V7, V7 == V8; #1830 ), references = 2, size of lhs = 3:
% 11.57/11.78 pppp20-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2) | P_the_carrier-{T}(V0,V2)
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1853: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1845 ), references = 1, size of lhs = 5:
% 11.57/11.78 pppp20-{F}(V0), one_sorted_str-{F}(V0), pppp13-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1872: mergings( V2 == V4, V4 == V5; #1868 ), references = 1, size of lhs = 4:
% 11.57/11.78 empty-{F}(V0), P_empty_set-{F}(V0), pppp20-{F}(V1), P_powerset-{F}(V0,V2) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1877: mergings( V0 == V3, V3 == V4; #1873 ), references = 1, size of lhs = 3:
% 11.57/11.78 empty-{F}(V0), P_empty_set-{F}(V0), pppp20-{F}(V1) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1883: mergings( V0 == V2, V2 == V3, V3 == V4; #1878 ), references = 1, size of lhs = 2:
% 11.57/11.78 empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 #1888: exists( #102, #1884 ), references = 1, size of lhs = 0:
% 11.57/11.78 FALSE | FALSE
% 11.57/11.78 (used 0 times, uses = {})
% 11.57/11.78
% 11.57/11.78 number of learnt formulas = 87
% 11.57/11.78
% 11.57/11.78
% 11.57/11.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/11.78
% 11.57/11.78 randbase = 1
%------------------------------------------------------------------------------