TSTP Solution File: SEU085+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU085+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:17:09 EDT 2022
% Result : Theorem 1.99s 2.21s
% Output : Refutation 1.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU085+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 19:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.99/2.21 GeoParameters:
% 1.99/2.21
% 1.99/2.21 tptp_input = 1
% 1.99/2.21 tptp_output = 0
% 1.99/2.21 nonempty = 1
% 1.99/2.21 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.21 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.99/2.21
% 1.99/2.21
% 1.99/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.21 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.21
% 1.99/2.21 RuleSystem INPUT:
% 1.99/2.21
% 1.99/2.21 Initial Rules:
% 1.99/2.21 #0: input, references = 3, size of lhs = 2:
% 1.99/2.21 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #1: input, references = 3, size of lhs = 2:
% 1.99/2.21 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #2: input, references = 3, size of lhs = 2:
% 1.99/2.21 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #3: input, references = 3, size of lhs = 2:
% 1.99/2.21 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #4: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | finite-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #5: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | function-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #6: input, references = 3, size of lhs = 1:
% 1.99/2.21 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #7: input, references = 3, size of lhs = 1:
% 1.99/2.21 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #8: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | relation-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #9: input, references = 3, size of lhs = 2:
% 1.99/2.21 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #10: input, references = 3, size of lhs = 2:
% 1.99/2.21 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #11: input, references = 3, size of lhs = 2:
% 1.99/2.21 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #12: input, references = 3, size of lhs = 3:
% 1.99/2.21 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #13: input, references = 3, size of lhs = 3:
% 1.99/2.21 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #14: input, references = 3, size of lhs = 2:
% 1.99/2.21 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #15: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #16: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #17: input, references = 3, size of lhs = 1:
% 1.99/2.21 empty-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #18: input, references = 3, size of lhs = 3:
% 1.99/2.21 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #19: input, references = 3, size of lhs = 3:
% 1.99/2.21 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #20: input, references = 3, size of lhs = 3:
% 1.99/2.21 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #21: input, references = 5, size of lhs = 2:
% 1.99/2.21 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #22: input, references = 5, size of lhs = 1:
% 1.99/2.21 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #23: input, references = 4, size of lhs = 3:
% 1.99/2.21 P_positive_rationals-{F}(V0), finite-{F}(V1), P_set_difference-{F}(V1,V2,V3) | finite-{T}(V3)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #24: input, references = 3, size of lhs = 2:
% 1.99/2.21 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #25: input, references = 3, size of lhs = 2:
% 1.99/2.21 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #26: input, references = 3, size of lhs = 2:
% 1.99/2.21 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #27: input, references = 3, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #28: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #29: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #30: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #31: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #32: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #33: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | empty-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #34: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #35: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | function-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #36: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #37: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp1-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #38: input, references = 3, size of lhs = 5:
% 1.99/2.22 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)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #39: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #40: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #41: input, references = 3, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #42: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #43: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp3-{F}(V0) | pppp2-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #44: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp2-{F}(V0) | natural-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #45: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #46: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #47: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #48: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #49: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #50: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp4-{F}(V0) | finite-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #51: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #52: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #53: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #54: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp5-{F}(V0) | function-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #55: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp5-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #56: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #57: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp6-{F}(V0) | function-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #58: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp6-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #59: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #60: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp7-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #61: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #62: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #63: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #64: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #65: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp8-{F}(V0) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #66: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #67: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #68: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #69: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp9-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #70: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp9-{F}(V0) | empty-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #71: input, references = 4, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #72: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #73: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #74: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #75: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #76: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp11-{F}(V0) | empty-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #77: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #78: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #79: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #80: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #81: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #82: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #83: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #84: input, references = 4, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
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% 1.99/2.22
% 1.99/2.22 #85: input, references = 4, size of lhs = 1:
% 1.99/2.22 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
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% 1.99/2.22
% 1.99/2.22 #86: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | finite-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #87: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | natural-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #88: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #89: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #90: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #91: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #92: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #93: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #94: input, references = 4, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #95: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #96: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #97: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp16-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #98: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp16-{F}(V0) | empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #99: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp16-{F}(V0) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #100: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #101: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp18-{F}(V0) | pppp17-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #102: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | ordinal-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #103: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #104: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #105: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #106: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | one_to_one-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #107: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | function-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #108: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp17-{F}(V0) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #109: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #110: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #111: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #112: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp19-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #113: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp19-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #114: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #115: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp20-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #116: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #117: input, references = 4, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
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% 1.99/2.22
% 1.99/2.22 #118: input, references = 4, size of lhs = 1:
% 1.99/2.22 pppp21-{F}(V0,V1) | empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #119: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #120: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #121: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #122: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
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% 1.99/2.22
% 1.99/2.22 #123: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #124: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #125: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #126: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #127: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #128: input, references = 5, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #129: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #130: input, references = 4, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #131: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp35-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
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% 1.99/2.22
% 1.99/2.22 #132: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp25-{F}(V0,V1) | finite-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #133: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
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% 1.99/2.22
% 1.99/2.22 #134: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #135: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #136: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp26-{F}(V0) | one_to_one-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #137: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp26-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #138: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp26-{F}(V0) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #139: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #140: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp27-{F}(V0) | ordinal-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #141: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #142: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #143: input, references = 3, size of lhs = 2:
% 1.99/2.22 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #144: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #145: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #146: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp28-{F}(V0) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #147: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #148: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp29-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #149: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #150: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp29-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #151: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #152: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #153: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp30-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #154: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp30-{F}(V0) | relation-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #155: input, references = 3, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #156: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp31-{F}(V0) | function-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #157: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #158: input, references = 3, size of lhs = 1:
% 1.99/2.22 pppp31-{F}(V0) | relation-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #159: input, references = 3, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #160: input, references = 3, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), subset-{F}(V3,V2) | finite-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #161: input, references = 4, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
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% 1.99/2.22
% 1.99/2.22 #162: input, references = 4, size of lhs = 1:
% 1.99/2.22 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
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% 1.99/2.22
% 1.99/2.22 #163: input, references = 4, size of lhs = 1:
% 1.99/2.22 pppp33-{F}(V0) | finite-{T}(V0)
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% 1.99/2.22
% 1.99/2.22 #164: input, references = 4, size of lhs = 3:
% 1.99/2.22 pppp32-{F}(V0,V1), P_set_difference-{F}(V0,V1,V2), finite-{F}(V2) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #165: input, references = 3, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #166: input, references = 4, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #167: input, references = 3, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_difference-{F}(V2,V3,V4) | subset-{T}(V4,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #168: input, references = 4, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_difference-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #169: input, references = 3, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #170: input, references = 3, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #171: input, references = 4, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_difference-{F}(V1,V2,V3), V3 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #172: input, references = 3, size of lhs = 5:
% 1.99/2.22 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)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #173: input, references = 4, size of lhs = 6:
% 1.99/2.22 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
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #174: input, references = 10, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #175: input, references = 3, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #176: input, references = 8, size of lhs = 5:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #177: input, references = 3, size of lhs = 1:
% 1.99/2.22 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #178: input, references = 4, size of lhs = 0:
% 1.99/2.22 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #179: input, references = 6, size of lhs = 2:
% 1.99/2.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #180: input, references = 4, size of lhs = 0:
% 1.99/2.22 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 number of initial rules = 181
% 1.99/2.22
% 1.99/2.22 Simplifiers:
% 1.99/2.22 #181: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #182: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #183: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #184: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #185: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #186: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #187: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #188: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #189: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #190: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #191: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #192: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #193: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #194: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #195: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #196: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #197: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #198: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #199: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #200: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #201: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #202: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #203: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #204: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #205: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #206: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #207: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #208: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #209: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #210: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #211: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #212: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #213: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #214: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #215: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #216: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #217: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #218: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #219: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #220: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #221: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #222: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #223: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #224: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #225: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #226: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V0 == V2 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #227: unsound, references = 3, size of lhs = 3:
% 1.99/2.22 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 number of simplifiers = 47
% 1.99/2.22
% 1.99/2.22 Learnt:
% 1.99/2.22 #230: exists( #179, #168 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_difference-{T}(V2,V1,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #233: exists( #179, #171 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_difference-{T}(V1,V2,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #241: mergings( V0 == V3, V1 == V4; #237 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #244: mergings( V0 == V3, V1 == V4; #238 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #252: mergings( V0 == V3, V1 == V4; #248 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #255: mergings( V0 == V3, V1 == V4; #249 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #263: mergings( V0 == V3, V1 == V4; #259 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #266: mergings( V0 == V3, V1 == V4; #260 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #277: mergings( V0 == V3, V1 == V4; #273 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #280: mergings( V0 == V3, V1 == V4; #274 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #292: mergings( V0 == V3, V1 == V4; #288 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #295: mergings( V0 == V3, V1 == V4; #289 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #301: mergings( V0 == V3, V1 == V4; #296 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #304: mergings( V0 == V4, V1 == V5; #297 ), references = 2, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #308: mergings( V0 == V4, V1 == V5, V3 == V5; #298 ), references = 1, size of lhs = 5:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #334: mergings( V0 == V4, V1 == V5; #329 ), references = 1, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #338: mergings( V0 == V4, V1 == V5, V2 == V5; #330 ), references = 1, size of lhs = 5:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #342: mergings( V0 == V4, V1 == V5, V2 == V5; #331 ), references = 1, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #359: mergings( V0 == V4, V1 == V5; #354 ), references = 1, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #363: mergings( V0 == V4, V1 == V5, V2 == V5; #355 ), references = 1, size of lhs = 5:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #367: mergings( V0 == V4, V1 == V5, V2 == V5; #356 ), references = 1, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #385: mergings( V0 == V5, V1 == V6; #382 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #416: mergings( V0 == V5, V1 == V6; #413 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #505: mergings( V0 == V3, V3 == V5, V4 == V6; #501 ), references = 1, size of lhs = 6:
% 1.99/2.22 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
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #512: mergings( V0 == V3, V3 == V4, V4 == V6, V5 == V7; #507 ), references = 1, size of lhs = 4:
% 1.99/2.22 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp0-{T}(V3,V1)
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #636: exists( #179, #634 ), references = 1, size of lhs = 3:
% 1.99/2.22 P_positive_rationals-{F}(V0), finite-{F}(V1), pppp32-{F}(V1,V2) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #638: exists( #162, #635 ), references = 1, size of lhs = 3:
% 1.99/2.22 pppp33-{F}(V0), finite-{F}(V0), P_positive_rationals-{F}(V1) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #642: mergings( V0 == V3; #640 ), references = 1, size of lhs = 2:
% 1.99/2.22 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #645: mergings( V1 == V2; #643 ), references = 1, size of lhs = 1:
% 1.99/2.22 P_positive_rationals-{F}(V0) | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 #647: exists( #178, #643 ), references = 1, size of lhs = 0:
% 1.99/2.22 FALSE | FALSE
% 1.99/2.22 (used 0 times, uses = {})
% 1.99/2.22
% 1.99/2.22 number of learnt formulas = 30
% 1.99/2.22
% 1.99/2.22
% 1.99/2.22 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.22
% 1.99/2.22 randbase = 1
%------------------------------------------------------------------------------