TSTP Solution File: SEU291+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU291+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 06:17:43 EDT 2022
% Result : Theorem 101.57s 101.77s
% Output : Refutation 101.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:53:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 101.57/101.77 GeoParameters:
% 101.57/101.77
% 101.57/101.77 tptp_input = 1
% 101.57/101.77 tptp_output = 0
% 101.57/101.77 nonempty = 1
% 101.57/101.77 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 101.57/101.77
% 101.57/101.77
% 101.57/101.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77
% 101.57/101.77 RuleSystem INPUT:
% 101.57/101.77
% 101.57/101.77 Initial Rules:
% 101.57/101.77 #0: input, references = 4, size of lhs = 2:
% 101.57/101.77 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #1: input, references = 4, size of lhs = 1:
% 101.57/101.77 empty-{F}(V0) | function-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #2: input, references = 3, size of lhs = 1:
% 101.57/101.77 empty-{F}(V0) | relation-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #3: input, references = 9, size of lhs = 3:
% 101.57/101.77 P_cartesian_product2-{F}(V2,V1,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | relation-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #4: input, references = 3, size of lhs = 3:
% 101.57/101.77 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #5: input, references = 10, size of lhs = 3:
% 101.57/101.77 P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), relation_of2_as_subset-{F}(V3,V1,V2) | pppp0-{T}(V1,V2,V3,V0,V4)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #6: input, references = 3, size of lhs = 2:
% 101.57/101.77 pppp0-{F}(V0,V3,V3,V3,V4), V0 == V3 | quasi_total-{T}(V3,V0,V3)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #7: input, references = 3, size of lhs = 4:
% 101.57/101.77 pppp0-{F}(V0,V3,V2,V3,V4), quasi_total-{F}(V2,V0,V3), V0 == V3, V2 == V3 | FALSE
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #8: input, references = 3, size of lhs = 1:
% 101.57/101.77 pppp0-{F}(V4,V1,V2,V4,V4) | quasi_total-{T}(V2,V4,V1)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #9: input, references = 7, size of lhs = 3:
% 101.57/101.77 pppp0-{F}(V3,V1,V2,V3,V4), quasi_total-{F}(V2,V3,V1), V3 == V4 | FALSE
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #10: input, references = 4, size of lhs = 2:
% 101.57/101.77 pppp0-{F}(V4,V1,V2,V3,V4), V1 == V3 | quasi_total-{T}(V2,V4,V1)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #11: input, references = 5, size of lhs = 4:
% 101.57/101.77 pppp0-{F}(V0,V1,V2,V3,V4), quasi_total-{F}(V2,V0,V1), V1 == V3, V0 == V4 | FALSE
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #12: input, references = 6, size of lhs = 4:
% 101.57/101.77 P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), P_powerset-{F}(V1,V5), relation_of2-{F}(V3,V1,V2) | element-{T}(V4,V5)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #13: input, references = 20, size of lhs = 4:
% 101.57/101.77 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V4), P_powerset-{F}(V4,V5), relation_of2_as_subset-{F}(V3,V1,V2) | element-{T}(V3,V5)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #14: input, references = 6, size of lhs = 3:
% 101.57/101.77 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp1-{T}(V1,V2,V3)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #15: input, references = 6, size of lhs = 1:
% 101.57/101.77 pppp1-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #16: input, references = 5, size of lhs = 2:
% 101.57/101.77 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #17: input, references = 6, size of lhs = 1:
% 101.57/101.77 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #18: input, references = 6, size of lhs = 3:
% 101.57/101.77 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp3-{T}(V1,V2,V3)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #19: input, references = 7, size of lhs = 1:
% 101.57/101.77 pppp3-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #20: input, references = 4, size of lhs = 1:
% 101.57/101.77 P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #21: input, references = 3, size of lhs = 1:
% 101.57/101.77 P_empty_set-{F}(V0) | relation-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #22: input, references = 3, size of lhs = 1:
% 101.57/101.77 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #23: input, references = 3, size of lhs = 3:
% 101.57/101.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.77
% 101.57/101.77 #24: input, references = 3, size of lhs = 1:
% 101.57/101.77 P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.77 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #25: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #26: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #27: input, references = 3, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1), empty-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #28: input, references = 9, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #29: input, references = 5, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #30: input, references = 3, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #31: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #32: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp4-{F}(V0) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #33: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp4-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #34: input, references = 6, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp5-{T}(V1,V2,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #35: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp5-{F}(V0,V1,V2) | quasi_total-{T}(V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #36: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp5-{F}(V0,V1,V2) | function-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #37: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp5-{F}(V0,V1,V2) | relation-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #38: input, references = 6, size of lhs = 1:
% 101.57/101.78 pppp5-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #39: input, references = 4, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #40: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp6-{F}(V0) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #41: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp6-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #42: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp6-{F}(V0) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #43: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp6-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #44: input, references = 4, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #45: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp7-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #46: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp7-{F}(V0) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #47: input, references = 4, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp22-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #48: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp22-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #49: input, references = 3, size of lhs = 2:
% 101.57/101.78 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #50: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #51: input, references = 4, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #52: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp9-{F}(V0) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #53: input, references = 4, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #54: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp10-{F}(V0) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #55: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp10-{F}(V0) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #56: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp10-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #57: input, references = 6, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp11-{T}(V1,V2,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #58: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp11-{F}(V0,V1,V2) | function-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #59: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp11-{F}(V0,V1,V2) | relation-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #60: input, references = 6, size of lhs = 1:
% 101.57/101.78 pppp11-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #61: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #62: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp12-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #63: input, references = 3, size of lhs = 2:
% 101.57/101.78 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #64: input, references = 4, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #65: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp13-{F}(V0,V1) | empty-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #66: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #67: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #68: input, references = 5, size of lhs = 2:
% 101.57/101.78 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #69: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #70: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp15-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #71: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp15-{F}(V0) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #72: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp15-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #73: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #74: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp16-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #75: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp16-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #76: input, references = 3, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #77: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp17-{F}(V0) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #78: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp17-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #79: input, references = 3, size of lhs = 1:
% 101.57/101.78 pppp17-{F}(V0) | relation-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #80: input, references = 7, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), P_relation_dom-{F}(V3,V5), relation_of2-{F}(V3,V1,V2), V4 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #81: input, references = 9, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V1,V2) | relation_of2-{T}(V3,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #82: input, references = 11, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), relation_of2-{F}(V3,V1,V2) | relation_of2_as_subset-{T}(V3,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #83: input, references = 4, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #84: input, references = 12, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V2,V4), subset-{F}(V4,V1) | relation_of2_as_subset-{T}(V3,V2,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #85: input, references = 3, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #86: input, references = 4, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #87: input, references = 15, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #88: input, references = 3, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #89: input, references = 13, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #90: input, references = 12, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #91: input, references = 5, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #92: input, references = 11, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #93: input, references = 3, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #94: input, references = 11, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #95: input, references = 4, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #96: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp21-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V0,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #97: input, references = 4, size of lhs = 1:
% 101.57/101.78 pppp21-{F}(V0,V1) | function-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #98: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V3,V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #99: input, references = 4, size of lhs = 1:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3) | EXISTS V4: pppp18-{T}(V0,V1,V4,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #100: input, references = 4, size of lhs = 2:
% 101.57/101.78 pppp19-{F}(V0,V3,V2,V3), V0 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #101: input, references = 11, size of lhs = 1:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3) | relation_of2_as_subset-{T}(V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #102: input, references = 10, size of lhs = 1:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3) | quasi_total-{T}(V2,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #103: input, references = 5, size of lhs = 4:
% 101.57/101.78 pppp18-{F}(V0,V1,V2,V3), function-{F}(V3), quasi_total-{F}(V3,V0,V2), relation_of2_as_subset-{F}(V3,V0,V2) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #104: input, references = 5, size of lhs = 1:
% 101.57/101.78 pppp18-{F}(V0,V1,V2,V3) | subset-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #105: input, references = 9, size of lhs = 1:
% 101.57/101.78 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #106: input, references = 5, size of lhs = 2:
% 101.57/101.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #107: input, references = 4, size of lhs = 0:
% 101.57/101.78 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #108: input, references = 5, size of lhs = 3:
% 101.57/101.78 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_relation_dom_as_subset-{T}(V0,V1,V2,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #109: input, references = 11, size of lhs = 1:
% 101.57/101.78 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 number of initial rules = 110
% 101.57/101.78
% 101.57/101.78 Simplifiers:
% 101.57/101.78 #110: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #111: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #112: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #113: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 P_relation_dom_as_subset-{F}(V0,V1,V2,V3), P_relation_dom_as_subset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #114: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #115: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #116: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V2,V8,V9), V4 == V9 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #117: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #118: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #119: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #120: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #121: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #122: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #123: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #124: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #125: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #126: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #127: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #128: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #129: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #130: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #131: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #132: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #133: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #134: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #135: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #136: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #137: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V3), V2 == V6 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #138: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #139: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #140: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V1,V5), V0 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #141: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V1 == V4 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #142: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #143: unsound, references = 3, size of lhs = 3:
% 101.57/101.78 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 number of simplifiers = 34
% 101.57/101.78
% 101.57/101.78 Learnt:
% 101.57/101.78 #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #157: mergings( V0 == V2; #154 ), references = 1, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #159: mergings( V0 == V2; #155 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #166: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #168: mergings( V0 == V2; #164 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #182: mergings( V2 == V3; #179 ), references = 1, size of lhs = 2:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #184: mergings( V2 == V3; #180 ), references = 1, size of lhs = 3:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #196: mergings( V0 == V4, V4 == V5, V5 == V6; #192 ), references = 2, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp3-{T}(V3,V4,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #208: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #202 ), references = 2, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp1-{T}(V5,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #210: exists( #108, #80 ), references = 11, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2-{F}(V1,V3,V4) | P_relation_dom_as_subset-{T}(V3,V4,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #233: mergings( V0 == V3; #229 ), references = 1, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp22-{T}(V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #235: mergings( V0 == V3; #230 ), references = 1, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp22-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #238: mergings( V0 == V3, V1 == V3; #231 ), references = 1, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #273: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #268 ), references = 1, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp5-{T}(V3,V4,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #289: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0; #282 ), references = 1, size of lhs = 7:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_cartesian_product2-{F}(V2,V3,V0), V3 == V0, V2 == V1, subset-{F}(V3,V4), P_cartesian_product2-{F}(V2,V4,V0) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #295: mergings( V0 == V2; #292 ), references = 1, size of lhs = 1:
% 101.57/101.78 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #297: mergings( V0 == V2; #293 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #339: mergings( V0 == V3; #335 ), references = 1, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #341: mergings( V0 == V3; #336 ), references = 5, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #344: mergings( V0 == V3, V2 == V3; #337 ), references = 1, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #353: mergings( V0 == V3, V3 == V4; #350 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1) | pppp2-{T}(V1,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #413: mergings( V0 == V4; #410 ), references = 1, size of lhs = 2:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #415: mergings( V0 == V4; #411 ), references = 1, size of lhs = 3:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp13-{T}(V1,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #441: mergings( V2 == V3, V3 == V6; #436 ), references = 3, size of lhs = 7:
% 101.57/101.78 empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), P_cartesian_product2-{F}(V6,V7,V5) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #445: mergings( V2 == V3, V3 == V6, V5 == V6; #437 ), references = 1, size of lhs = 8:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V1,V0), empty-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), P_cartesian_product2-{F}(V6,V7,V5) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #448: mergings( V2 == V3, V4 == V3; #438 ), references = 1, size of lhs = 7:
% 101.57/101.78 P_empty_set-{F}(V0), pppp14-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation_of2_as_subset-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V3,V4), P_cartesian_product2-{F}(V5,V6,V4) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #477: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #472 ), references = 1, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp11-{T}(V3,V4,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #537: mergings( V2 == V3, V3 == V4; #534 ), references = 1, size of lhs = 6:
% 101.57/101.78 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, in-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V4,V5), P_cartesian_product2-{F}(V4,V5,V1) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #585: mergings( V2 == V3; #583 ), references = 3, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), relation_of2-{F}(V1,V2,V3), V3 == V0, relation_of2_as_subset-{F}(V1,V2,V3), quasi_total-{F}(V1,V2,V3) | P_relation_dom-{T}(V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #596: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #591 ), references = 1, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp3-{T}(V5,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #729: mergings( V0 == V4, V4 == V5, V5 == V6; #725 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V0,V2,V3), V2 == V1, P_cartesian_product2-{F}(V4,V5,V3) | pppp5-{T}(V0,V2,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #890: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #884 ), references = 2, size of lhs = 10:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, in-{F}(V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V4) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #896: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #885 ), references = 3, size of lhs = 8:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), subset-{F}(V7,V8), P_relation_dom_as_subset-{F}(V3,V8,V1,V9), V9 == V2 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #1030: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #1025 ), references = 2, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | pppp2-{T}(V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #1529: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1523 ), references = 1, size of lhs = 14:
% 101.57/101.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V6), P_cartesian_product2-{F}(V7,V5,V4), in-{F}(V8,V9), in-{F}(V9,V10), relation_of2_as_subset-{F}(V10,V7,V11), in-{F}(V11,V12), relation_of2_as_subset-{F}(V12,V13,V14), P_cartesian_product2-{F}(V13,V14,V6) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #1534: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1524 ), references = 2, size of lhs = 12:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13), P_relation_dom_as_subset-{F}(V5,V13,V3,V14), V14 == V4 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #1541: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1535 ), references = 2, size of lhs = 12:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13), P_relation_dom_as_subset-{F}(V5,V13,V3,V14), V14 == V4 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #1694: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1688 ), references = 1, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp11-{T}(V5,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #2048: mergings( V2 == V3, V3 == V4, V4 == V8; #2042 ), references = 1, size of lhs = 9:
% 101.57/101.78 empty-{F}(V0), P_relation_dom-{F}(V1,V0), in-{F}(V1,V2), P_empty_set-{F}(V3), V1 == V3, relation_of2_as_subset-{F}(V2,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_powerset-{F}(V7,V6), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #2052: mergings( V2 == V3, V3 == V4, V4 == V8; #2043 ), references = 1, size of lhs = 10:
% 101.57/101.78 empty-{F}(V0), P_relation_dom-{F}(V1,V0), in-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), V1 == V4, relation_of2_as_subset-{F}(V2,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #2055: mergings( V2 == V3, V3 == V4; #2044 ), references = 1, size of lhs = 9:
% 101.57/101.78 P_empty_set-{F}(V0), pppp14-{F}(V1), in-{F}(V1,V2), P_relation_dom-{F}(V1,V3), empty-{F}(V3), relation_of2_as_subset-{F}(V2,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_powerset-{F}(V7,V6), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #2451: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V11; #2444 ), references = 1, size of lhs = 9:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V5), relation_of2-{F}(V7,V3,V8), relation_of2-{F}(V7,V6,V9) | P_relation_dom-{T}(V7,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #2460: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V16; #2452 ), references = 1, size of lhs = 14:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V5), relation_of2-{F}(V7,V3,V8), V7 == V0, relation_of2-{F}(V7,V6,V9), relation_of2_as_subset-{F}(V7,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), P_cartesian_product2-{F}(V13,V14,V12) | P_relation_dom-{T}(V7,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #4317: mergings( V4 == V5, V5 == V6, V6 == V7; #4311 ), references = 3, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp20-{F}(V1,V3,V4), V4 == V0 | pppp19-{T}(V2,V4,V1,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #4518: exists( #106, #441 ), references = 6, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #4524: mergings( V3 == V6, V4 == V5; #4521 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp21-{F}(V1,V2), P_empty_set-{F}(V3), V1 == V3 | pppp20-{T}(V1,V2,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #4614: exists( #98, #100 ), references = 7, size of lhs = 1:
% 101.57/101.78 pppp20-{F}(V0,V1,V1) | pppp19-{T}(V1,V1,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #5124: exists( #108, #896 ), references = 3, size of lhs = 6:
% 101.57/101.78 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), subset-{F}(V7,V8) | P_relation_dom_as_subset-{T}(V3,V8,V1,V2)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #5125: exists( #108, #1534 ), references = 1, size of lhs = 10:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13) | P_relation_dom_as_subset-{T}(V5,V13,V3,V4)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #5126: exists( #108, #1541 ), references = 1, size of lhs = 10:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13) | P_relation_dom_as_subset-{T}(V5,V13,V3,V4)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6407: mergings( V5 == V6, V6 == V7, V7 == V8; #6403 ), references = 2, size of lhs = 5:
% 101.57/101.78 P_empty_set-{F}(V0), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V2,V3), pppp19-{F}(V2,V3,V1,V4) | pppp18-{T}(V2,V3,V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6417: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #6412 ), references = 5, size of lhs = 4:
% 101.57/101.78 function-{F}(V0), pppp21-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | pppp20-{T}(V0,V1,V3)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6454: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #6447 ), references = 1, size of lhs = 9:
% 101.57/101.78 function-{F}(V0), pppp21-{F}(V0,V1), P_empty_set-{F}(V1), subset-{F}(V2,V1), subset-{F}(V3,V1), relation_of2_as_subset-{F}(V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V2), relation_of2_as_subset-{F}(V1,V6,V7), P_cartesian_product2-{F}(V6,V7,V3) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6562: mergings( V2 == V3, V4 == V3; #6559 ), references = 3, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), relation_of2-{F}(V1,V0,V0), relation_of2_as_subset-{F}(V1,V0,V0), quasi_total-{F}(V1,V0,V0) | P_relation_dom-{T}(V1,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6595: mergings( V2 == V3; #6593 ), references = 1, size of lhs = 5:
% 101.57/101.78 function-{F}(V0), pppp21-{F}(V0,V1), relation_of2-{F}(V0,V1,V1), relation_of2_as_subset-{F}(V0,V1,V1), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6664: mergings( V2 == V3, V3 == V4, V4 == V5; #6660 ), references = 4, size of lhs = 4:
% 101.57/101.78 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), relation_of2-{F}(V3,V2,V4) | P_relation_dom-{T}(V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6679: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11; #6671 ), references = 1, size of lhs = 6:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), pppp1-{F}(V2,V3,V4), V4 == V0 | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6695: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11; #6686 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp1-{T}(V2,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6788: mergings( V0 == V4, V4 == V5, V5 == V7; #6783 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp11-{T}(V2,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6842: mergings( V0 == V4, V4 == V5, V5 == V7; #6837 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp3-{T}(V2,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6868: mergings( V0 == V4, V4 == V5, V5 == V7; #6863 ), references = 1, size of lhs = 5:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp5-{T}(V2,V3,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6920: mergings( V2 == V3, V3 == V4, V4 == V5; #6915 ), references = 2, size of lhs = 6:
% 101.57/101.78 function-{F}(V0), pppp21-{F}(V0,V1), V0 == V1, empty-{F}(V1), P_empty_set-{F}(V1), subset-{F}(V1,V2) | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6924: mergings( V2 == V3, V3 == V4, V4 == V5; #6914 ), references = 1, size of lhs = 3:
% 101.57/101.78 function-{F}(V0), pppp21-{F}(V0,V1), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6927: exists( #95, #6925 ), references = 1, size of lhs = 3:
% 101.57/101.78 empty-{F}(V0), P_empty_set-{F}(V0), subset-{F}(V0,V1) | pppp21-{T}(V0,V0)
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 #6939: exists( #107, #6937 ), references = 1, size of lhs = 0:
% 101.57/101.78 FALSE | FALSE
% 101.57/101.78 (used 0 times, uses = {})
% 101.57/101.78
% 101.57/101.78 number of learnt formulas = 66
% 101.57/101.78
% 101.57/101.78
% 101.57/101.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.78
% 101.57/101.78 randbase = 1
%------------------------------------------------------------------------------