TSTP Solution File: SEU097+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:17:10 EDT 2022
% Result : Theorem 4.71s 4.93s
% Output : Refutation 4.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n005.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 18:33:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.71/4.93 GeoParameters:
% 4.71/4.93
% 4.71/4.93 tptp_input = 1
% 4.71/4.93 tptp_output = 0
% 4.71/4.93 nonempty = 1
% 4.71/4.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.71/4.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.71/4.93
% 4.71/4.93
% 4.71/4.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.71/4.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.71/4.93
% 4.71/4.93 RuleSystem INPUT:
% 4.71/4.93
% 4.71/4.93 Initial Rules:
% 4.71/4.93 #0: input, references = 3, size of lhs = 2:
% 4.71/4.93 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #1: input, references = 3, size of lhs = 2:
% 4.71/4.93 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #2: input, references = 3, size of lhs = 2:
% 4.71/4.93 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #3: input, references = 3, size of lhs = 2:
% 4.71/4.93 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #4: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | finite-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #5: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #6: input, references = 3, size of lhs = 1:
% 4.71/4.93 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #7: input, references = 3, size of lhs = 1:
% 4.71/4.93 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #8: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #9: input, references = 3, size of lhs = 2:
% 4.71/4.93 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #10: input, references = 3, size of lhs = 2:
% 4.71/4.93 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #11: input, references = 3, size of lhs = 2:
% 4.71/4.93 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #12: input, references = 3, size of lhs = 3:
% 4.71/4.93 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #13: input, references = 3, size of lhs = 3:
% 4.71/4.93 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #14: input, references = 3, size of lhs = 2:
% 4.71/4.93 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #15: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #16: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #17: input, references = 3, size of lhs = 1:
% 4.71/4.93 empty-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #18: input, references = 3, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #19: input, references = 3, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #20: input, references = 3, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #21: input, references = 4, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_set_union2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #22: input, references = 4, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3), P_symmetric_difference-{F}(V2,V1,V4), V3 == V4 | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #23: input, references = 7, size of lhs = 6:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), P_set_difference-{F}(V2,V1,V5), P_set_union2-{F}(V4,V5,V6), V3 == V6 | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #24: input, references = 5, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #25: input, references = 5, size of lhs = 1:
% 4.71/4.93 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #26: input, references = 5, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), finite-{F}(V1), P_set_difference-{F}(V1,V2,V3) | finite-{T}(V3)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #27: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #28: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #29: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #30: input, references = 3, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #31: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #32: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #33: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #34: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #35: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #36: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #37: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #38: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #39: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #40: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp1-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #41: input, references = 3, size of lhs = 5:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_set_union2-{F}(V3,V2,V4), relation-{F}(V3) | relation-{T}(V4)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #42: input, references = 3, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_union2-{F}(V2,V3,V4), empty-{F}(V4) | empty-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #43: input, references = 3, size of lhs = 5:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_set_difference-{F}(V3,V2,V4), relation-{F}(V3) | relation-{T}(V4)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #44: input, references = 5, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_union2-{F}(V3,V2,V4), empty-{F}(V4) | empty-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #45: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #46: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #47: input, references = 3, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #48: input, references = 4, size of lhs = 5:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_set_union2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #49: input, references = 4, size of lhs = 4:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_union2-{F}(V2,V2,V3), V3 == V2 | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #50: input, references = 3, size of lhs = 5:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_set_union2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #51: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #52: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp3-{F}(V0) | pppp2-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #53: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp2-{F}(V0) | natural-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #54: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp2-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #55: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #56: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #57: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #58: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #59: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp4-{F}(V0) | finite-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #60: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #61: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #62: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #63: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp5-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #64: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp5-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #65: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #66: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp6-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #67: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp6-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #68: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #69: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp7-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #70: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #71: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #72: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #73: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #74: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp8-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #75: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #76: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #77: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #78: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp9-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #79: input, references = 5, size of lhs = 1:
% 4.71/4.93 pppp9-{F}(V0) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #80: input, references = 4, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #81: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #82: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #83: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #84: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #85: input, references = 5, size of lhs = 1:
% 4.71/4.93 pppp11-{F}(V0) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #86: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #87: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #88: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #89: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #90: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #91: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #92: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #93: input, references = 4, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #94: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #95: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #96: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #97: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #98: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #99: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #100: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #101: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #102: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #103: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #104: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #105: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #106: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp16-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #107: input, references = 5, size of lhs = 1:
% 4.71/4.93 pppp16-{F}(V0) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #108: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp16-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #109: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #110: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp18-{F}(V0) | pppp17-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #111: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #112: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #113: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #114: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #115: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #116: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #117: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp17-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #118: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #119: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #120: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #121: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp19-{F}(V0) | function-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #122: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp19-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #123: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #124: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp20-{F}(V0) | relation-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #125: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #126: input, references = 4, size of lhs = 3:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #127: input, references = 4, size of lhs = 1:
% 4.71/4.93 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #128: input, references = 3, size of lhs = 1:
% 4.71/4.93 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #129: input, references = 3, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #130: input, references = 3, size of lhs = 2:
% 4.71/4.93 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 4.71/4.93 (used 0 times, uses = {})
% 4.71/4.93
% 4.71/4.93 #131: input, references = 4, size of lhs = 2:
% 4.71/4.93 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #132: input, references = 4, size of lhs = 1:
% 4.71/4.94 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #133: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #134: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #135: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #136: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #137: input, references = 4, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #138: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #139: input, references = 4, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #140: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp35-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #141: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #142: input, references = 3, size of lhs = 2:
% 4.71/4.94 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #143: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #144: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #145: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #146: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp26-{F}(V0) | function-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #147: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp26-{F}(V0) | relation-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #148: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #149: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp27-{F}(V0) | ordinal-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #150: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #151: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #152: input, references = 3, size of lhs = 2:
% 4.71/4.94 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #153: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #154: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #155: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp28-{F}(V0) | relation-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #156: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #157: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp29-{F}(V0) | function-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #158: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #159: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp29-{F}(V0) | relation-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #160: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #161: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #162: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp30-{F}(V0) | function-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #163: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp30-{F}(V0) | relation-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #164: input, references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #165: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp31-{F}(V0) | function-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #166: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #167: input, references = 3, size of lhs = 1:
% 4.71/4.94 pppp31-{F}(V0) | relation-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #168: input, references = 3, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #169: input, references = 3, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_set_difference-{F}(V2,V3,V4) | finite-{T}(V4)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #170: input, references = 4, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_union2-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #171: input, references = 3, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #172: input, references = 4, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #173: input, references = 4, size of lhs = 1:
% 4.71/4.94 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V1,V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #174: input, references = 4, size of lhs = 1:
% 4.71/4.94 pppp33-{F}(V0) | finite-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #175: input, references = 4, size of lhs = 3:
% 4.71/4.94 pppp32-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), finite-{F}(V2) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #176: input, references = 4, size of lhs = 2:
% 4.71/4.94 pppp32-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2) | finite-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #177: input, references = 4, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #178: input, references = 4, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_difference-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #179: input, references = 3, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #180: input, references = 3, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #181: input, references = 4, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_difference-{F}(V1,V2,V3), V3 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #182: input, references = 3, size of lhs = 5:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4), in-{F}(V5,V2) | element-{T}(V5,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #183: input, references = 4, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #184: input, references = 4, size of lhs = 6:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V2), element-{F}(V4,V3), in-{F}(V5,V4) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #185: input, references = 11, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #186: input, references = 3, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #187: input, references = 7, size of lhs = 5:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #188: input, references = 3, size of lhs = 1:
% 4.71/4.94 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #189: input, references = 4, size of lhs = 0:
% 4.71/4.94 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #190: input, references = 7, size of lhs = 2:
% 4.71/4.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #191: input, references = 7, size of lhs = 2:
% 4.71/4.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #192: input, references = 11, size of lhs = 2:
% 4.71/4.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #193: input, references = 4, size of lhs = 0:
% 4.71/4.94 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 number of initial rules = 194
% 4.71/4.94
% 4.71/4.94 Simplifiers:
% 4.71/4.94 #194: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #195: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #196: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #197: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #198: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #199: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #200: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #201: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #202: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #203: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #204: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #205: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #206: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #207: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #208: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #209: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #210: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #211: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #212: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #213: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #214: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #215: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #216: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #217: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #218: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #219: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #220: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #221: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #222: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #223: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #224: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #225: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #226: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #227: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #228: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #229: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #230: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #231: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #232: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #233: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #234: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #235: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #236: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #237: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #238: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #239: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #240: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #241: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V1 == V3 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #242: unsound, references = 3, size of lhs = 3:
% 4.71/4.94 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 number of simplifiers = 49
% 4.71/4.94
% 4.71/4.94 Learnt:
% 4.71/4.94 #245: exists( #190, #49 ), references = 2, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_union2-{T}(V2,V2,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #247: exists( #191, #22 ), references = 3, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3) | P_symmetric_difference-{T}(V2,V1,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #249: exists( #190, #21 ), references = 2, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_set_union2-{F}(V1,V2,V3) | P_set_union2-{T}(V2,V1,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #251: exists( #191, #183 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_symmetric_difference-{T}(V2,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #255: mergings( V2 == V4; #253 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_symmetric_difference-{F}(V2,V2,V3) | P_set_difference-{T}(V2,V2,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #260: exists( #192, #178 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_difference-{T}(V2,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #262: exists( #190, #170 ), references = 3, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_union2-{T}(V2,V1,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #266: mergings( V3 == V5; #264 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_difference-{F}(V2,V3,V0), P_symmetric_difference-{F}(V3,V2,V4) | P_set_difference-{T}(V3,V2,V4)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #268: exists( #192, #181 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_difference-{T}(V1,V2,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #279: mergings( V0 == V3, V1 == V4; #275 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #282: mergings( V0 == V3, V1 == V4; #276 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #290: mergings( V0 == V3, V1 == V4; #286 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #293: mergings( V0 == V3, V1 == V4; #287 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #300: mergings( V0 == V4, V1 == V5; #295 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #304: mergings( V0 == V4, V1 == V5, V2 == V5; #296 ), references = 1, size of lhs = 5:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #308: mergings( V0 == V4, V1 == V5, V2 == V5; #297 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #319: mergings( V0 == V3, V1 == V4; #315 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #322: mergings( V0 == V3, V1 == V4; #316 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #329: mergings( V0 == V4, V1 == V5; #324 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V4,V3) | in-{T}(V2,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #332: mergings( V0 == V4, V1 == V5; #325 ), references = 2, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #336: mergings( V0 == V4, V1 == V5, V3 == V5; #326 ), references = 1, size of lhs = 5:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #358: mergings( V0 == V3, V1 == V4; #355 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #377: mergings( V0 == V3, V1 == V4; #374 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #398: exists( #190, #23 ), references = 4, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), P_set_difference-{F}(V2,V1,V5) | P_set_union2-{T}(V4,V5,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #407: mergings( V0 == V5, V1 == V6; #404 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #423: mergings( V0 == V4, V1 == V5; #418 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #427: mergings( V0 == V4, V1 == V5, V2 == V5; #419 ), references = 1, size of lhs = 5:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #431: mergings( V0 == V4, V1 == V5, V2 == V5; #420 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #456: mergings( V3 == V4, V4 == V7, V5 == V8; #451 ), references = 2, size of lhs = 5:
% 4.71/4.94 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), P_symmetric_difference-{F}(V3,V4,V0), P_set_difference-{F}(V3,V4,V5) | P_set_difference-{T}(V4,V3,V2)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #460: mergings( V3 == V4, V4 == V7, V5 == V8; #452 ), references = 1, size of lhs = 6:
% 4.71/4.94 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_symmetric_difference-{F}(V4,V5,V0), P_set_difference-{F}(V4,V5,V6) | P_set_difference-{T}(V5,V4,V3)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #475: mergings( V0 == V5, V1 == V6; #472 ), references = 1, size of lhs = 3:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #511: mergings( V0 == V3, V3 == V5, V4 == V6; #507 ), references = 2, size of lhs = 6:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V1 | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #520: mergings( V0 == V3, V3 == V4, V4 == V6, V1 == V5, V5 == V7; #514 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V0) | pppp13-{T}(V0,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #548: mergings( V3 == V4, V4 == V6, V6 == V8; #544 ), references = 1, size of lhs = 5:
% 4.71/4.94 empty-{F}(V0), P_empty_set-{F}(V1), P_positive_rationals-{F}(V2), P_symmetric_difference-{F}(V3,V4,V0), P_symmetric_difference-{F}(V4,V3,V5) | P_set_difference-{T}(V3,V4,V5)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #553: mergings( V0 == V3; #551 ), references = 1, size of lhs = 4:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp0-{T}(V3,V1)
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #601: mergings( V3 == V4, V4 == V5; #598 ), references = 2, size of lhs = 8:
% 4.71/4.94 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_set_difference-{F}(V4,V0,V3), P_symmetric_difference-{F}(V4,V0,V5), pppp32-{F}(V6,V7), P_symmetric_difference-{F}(V6,V7,V5) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #605: mergings( V3 == V4; #603 ), references = 2, size of lhs = 7:
% 4.71/4.94 finite-{F}(V0), finite-{F}(V1), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3), P_symmetric_difference-{F}(V0,V1,V4), pppp32-{F}(V5,V6), P_symmetric_difference-{F}(V5,V6,V4) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #610: mergings( V3 == V4, V4 == V5; #607 ), references = 1, size of lhs = 5:
% 4.71/4.94 finite-{F}(V0), finite-{F}(V1), pppp32-{F}(V1,V0), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #654: mergings( V3 == V4; #651 ), references = 1, size of lhs = 4:
% 4.71/4.94 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), pppp32-{F}(V3,V0) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #658: mergings( V2 == V3; #655 ), references = 1, size of lhs = 4:
% 4.71/4.94 pppp33-{F}(V0), finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #666: mergings( V0 == V3, V3 == V4, V1 == V5; #661 ), references = 1, size of lhs = 2:
% 4.71/4.94 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #671: mergings( V1 == V2, V2 == V3; #667 ), references = 1, size of lhs = 1:
% 4.71/4.94 P_positive_rationals-{F}(V0) | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 #674: exists( #189, #667 ), references = 1, size of lhs = 0:
% 4.71/4.94 FALSE | FALSE
% 4.71/4.94 (used 0 times, uses = {})
% 4.71/4.94
% 4.71/4.94 number of learnt formulas = 43
% 4.71/4.94
% 4.71/4.94
% 4.71/4.94 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.71/4.94
% 4.71/4.94 randbase = 1
%------------------------------------------------------------------------------