TSTP Solution File: SEU295+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:44 EDT 2022
% Result : Theorem 1.41s 1.63s
% Output : Refutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:09:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.41/1.63 GeoParameters:
% 1.41/1.63
% 1.41/1.63 tptp_input = 1
% 1.41/1.63 tptp_output = 0
% 1.41/1.63 nonempty = 1
% 1.41/1.63 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.63 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.41/1.63
% 1.41/1.63
% 1.41/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.63
% 1.41/1.63 RuleSystem INPUT:
% 1.41/1.63
% 1.41/1.63 Initial Rules:
% 1.41/1.63 #0: input, references = 3, size of lhs = 2:
% 1.41/1.63 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #1: input, references = 3, size of lhs = 2:
% 1.41/1.63 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #2: input, references = 3, size of lhs = 2:
% 1.41/1.63 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #3: input, references = 3, size of lhs = 2:
% 1.41/1.63 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #4: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | finite-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #5: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | function-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #6: input, references = 3, size of lhs = 1:
% 1.41/1.63 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #7: input, references = 3, size of lhs = 1:
% 1.41/1.63 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #8: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | relation-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #9: input, references = 3, size of lhs = 2:
% 1.41/1.63 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #10: input, references = 3, size of lhs = 2:
% 1.41/1.63 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #11: input, references = 3, size of lhs = 2:
% 1.41/1.63 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #12: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #13: input, references = 3, size of lhs = 3:
% 1.41/1.63 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #14: input, references = 3, size of lhs = 2:
% 1.41/1.63 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #15: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #16: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #17: input, references = 3, size of lhs = 1:
% 1.41/1.63 empty-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #18: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #19: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #20: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #21: input, references = 4, size of lhs = 4:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #22: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #23: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #24: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), finite-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | finite-{T}(V3)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #25: input, references = 4, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), finite-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | finite-{T}(V3)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #26: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #27: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #28: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #29: input, references = 3, size of lhs = 5:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_set_intersection2-{F}(V3,V2,V4), relation-{F}(V3) | relation-{T}(V4)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #30: input, references = 3, size of lhs = 4:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #31: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #32: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #33: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #34: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #35: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #36: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | empty-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #37: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #38: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | function-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #39: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #40: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp1-{F}(V0) | relation-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #41: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #42: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #43: input, references = 3, size of lhs = 3:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #44: input, references = 4, size of lhs = 4:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_intersection2-{F}(V2,V2,V3), V3 == V2 | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #45: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #46: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp3-{F}(V0) | pppp2-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #47: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp2-{F}(V0) | natural-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #48: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #49: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #50: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #51: input, references = 3, size of lhs = 2:
% 1.41/1.63 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #52: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #53: input, references = 3, size of lhs = 1:
% 1.41/1.63 pppp4-{F}(V0) | finite-{T}(V0)
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #54: input, references = 3, size of lhs = 2:
% 1.41/1.63 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 1.41/1.63 (used 0 times, uses = {})
% 1.41/1.63
% 1.41/1.63 #55: input, references = 3, size of lhs = 2:
% 1.41/1.63 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #56: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #57: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp5-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #58: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp5-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #59: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #60: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp6-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #61: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp6-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #62: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #63: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp7-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #64: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #65: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #66: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #67: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #68: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp8-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #69: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #70: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #71: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #72: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp9-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #73: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp9-{F}(V0) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #74: input, references = 4, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #75: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #76: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #77: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #78: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #79: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp11-{F}(V0) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #80: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #81: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #82: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #83: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #84: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #85: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #86: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #87: input, references = 4, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #88: input, references = 4, size of lhs = 1:
% 1.41/1.64 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #89: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #90: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #91: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #92: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #93: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #94: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #95: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #96: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #97: input, references = 4, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #98: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #99: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #100: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp16-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #101: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp16-{F}(V0) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #102: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp16-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #103: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #104: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp18-{F}(V0) | pppp17-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #105: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #106: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #107: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #108: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #109: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #110: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #111: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp17-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #112: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #113: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #114: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #115: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp19-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #116: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp19-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #117: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #118: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp20-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #119: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #120: input, references = 4, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #121: input, references = 4, size of lhs = 1:
% 1.41/1.64 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #122: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #123: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #124: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #125: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #126: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #127: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #128: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #129: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #130: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #131: input, references = 5, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #132: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #133: input, references = 4, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #134: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp35-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #135: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #136: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #137: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #138: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #139: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #140: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp26-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #141: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp26-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #142: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #143: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp27-{F}(V0) | ordinal-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #144: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #145: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #146: input, references = 3, size of lhs = 2:
% 1.41/1.64 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #147: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #148: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #149: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp28-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #150: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #151: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp29-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #152: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #153: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp29-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #154: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #155: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #156: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp30-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #157: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp30-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #158: input, references = 3, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #159: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp31-{F}(V0) | function-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #160: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #161: input, references = 3, size of lhs = 1:
% 1.41/1.64 pppp31-{F}(V0) | relation-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #162: input, references = 3, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #163: input, references = 3, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), subset-{F}(V3,V2) | finite-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #164: input, references = 4, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #165: input, references = 4, size of lhs = 1:
% 1.41/1.64 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #166: input, references = 4, size of lhs = 1:
% 1.41/1.64 pppp33-{F}(V0) | finite-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #167: input, references = 4, size of lhs = 3:
% 1.41/1.64 pppp32-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), finite-{F}(V2) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #168: input, references = 3, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_intersection2-{F}(V2,V3,V4) | subset-{T}(V4,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #169: input, references = 3, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #170: input, references = 4, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), V3 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #171: input, references = 5, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #172: input, references = 3, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #173: input, references = 3, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #174: input, references = 3, size of lhs = 5:
% 1.41/1.64 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)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #175: input, references = 3, size of lhs = 6:
% 1.41/1.64 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
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #176: input, references = 10, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #177: input, references = 3, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #178: input, references = 8, size of lhs = 5:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #179: input, references = 3, size of lhs = 1:
% 1.41/1.64 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #180: input, references = 4, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #181: input, references = 7, size of lhs = 2:
% 1.41/1.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #182: input, references = 4, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of initial rules = 183
% 1.41/1.64
% 1.41/1.64 Simplifiers:
% 1.41/1.64 #183: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #184: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #185: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #186: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #187: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #188: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #189: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #190: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #191: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #192: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #193: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #194: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #195: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #196: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #197: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #198: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #199: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #200: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #201: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #202: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #203: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #204: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #205: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #206: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #207: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #208: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #209: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #210: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #211: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #212: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #213: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #214: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #215: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #216: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #217: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #218: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #219: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #220: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #221: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #222: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #223: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #224: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #225: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #226: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #227: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #228: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #229: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of simplifiers = 47
% 1.41/1.64
% 1.41/1.64 Learnt:
% 1.41/1.64 #232: exists( #181, #44 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V2,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #234: exists( #181, #21 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #236: exists( #181, #170 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #243: mergings( V0 == V3, V1 == V4; #239 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #246: mergings( V0 == V3, V1 == V4; #240 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #257: mergings( V0 == V3, V1 == V4; #253 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #260: mergings( V0 == V3, V1 == V4; #254 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #268: mergings( V0 == V3, V1 == V4; #264 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #271: mergings( V0 == V3, V1 == V4; #265 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #282: mergings( V0 == V3, V1 == V4; #278 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #285: mergings( V0 == V3, V1 == V4; #279 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #294: mergings( V0 == V3, V1 == V4; #290 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #297: mergings( V0 == V3, V1 == V4; #291 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #302: mergings( V0 == V4, V1 == V5; #299 ), references = 1, size of lhs = 6:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), element-{F}(V5,V4) | empty-{T}(V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #311: mergings( V0 == V4, V1 == V5; #306 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #315: mergings( V0 == V4, V1 == V5, V2 == V5; #307 ), references = 1, size of lhs = 5:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #317: mergings( V2 == V1; #308 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V1,V2), pppp12-{F}(V1,V3) | pppp35-{T}(V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #326: mergings( V0 == V3, V1 == V4; #321 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #329: mergings( V0 == V4, V1 == V5; #322 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #333: mergings( V0 == V4, V1 == V5, V3 == V5; #323 ), references = 1, size of lhs = 5:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #348: mergings( V0 == V4, V1 == V5; #343 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #352: mergings( V0 == V4, V1 == V5, V2 == V5; #344 ), references = 1, size of lhs = 5:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #356: mergings( V0 == V4, V1 == V5, V2 == V5; #345 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #375: mergings( V0 == V5, V1 == V6; #372 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #399: mergings( V0 == V5, V1 == V6; #396 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #468: exists( #181, #466 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_positive_rationals-{F}(V0), finite-{F}(V1), pppp32-{F}(V1,V2) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #470: exists( #165, #467 ), references = 1, size of lhs = 3:
% 1.41/1.64 pppp33-{F}(V0), finite-{F}(V0), P_positive_rationals-{F}(V1) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #474: mergings( V0 == V3; #472 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #477: mergings( V1 == V2; #475 ), references = 1, size of lhs = 1:
% 1.41/1.64 P_positive_rationals-{F}(V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #479: exists( #180, #475 ), references = 1, size of lhs = 0:
% 1.41/1.64 FALSE | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of learnt formulas = 30
% 1.41/1.64
% 1.41/1.64
% 1.41/1.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.64
% 1.41/1.64 randbase = 1
%------------------------------------------------------------------------------