TSTP Solution File: SEU083+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 2.25s 2.46s
% Output : Refutation 2.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 18:32:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.25/2.46 GeoParameters:
% 2.25/2.46
% 2.25/2.46 tptp_input = 1
% 2.25/2.46 tptp_output = 0
% 2.25/2.46 nonempty = 1
% 2.25/2.46 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/2.46 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.25/2.46
% 2.25/2.46
% 2.25/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/2.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/2.46
% 2.25/2.46 RuleSystem INPUT:
% 2.25/2.46
% 2.25/2.46 Initial Rules:
% 2.25/2.46 #0: input, references = 3, size of lhs = 1:
% 2.25/2.46 #-{F} V0 | subset-{T}(V0,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #1: input, references = 3, size of lhs = 2:
% 2.25/2.46 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #2: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #3: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #4: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #5: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #6: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #7: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | pppp0-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #8: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #9: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #10: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #11: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #12: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | one_to_one-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #13: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #14: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #15: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp0-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #16: input, references = 3, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #17: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #18: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #19: input, references = 4, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #20: input, references = 4, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #21: input, references = 6, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp1-{T}(V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #22: input, references = 6, size of lhs = 1:
% 2.25/2.46 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #23: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), empty-{F}(V1) | finite-{T}(V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #24: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), finite-{F}(V1), element-{F}(V3,V2) | finite-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #25: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #26: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #27: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), relation-{F}(V1), P_set_union2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #28: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #29: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V1) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #30: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | epsilon_transitive-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #31: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | epsilon_connected-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #32: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | ordinal-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #33: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | epsilon_transitive-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #34: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | epsilon_connected-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #35: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | natural-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #36: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V2,V1), ordinal-{F}(V2) | epsilon_transitive-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #37: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V2,V1), ordinal-{F}(V2) | epsilon_connected-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #38: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V2,V1), ordinal-{F}(V2) | natural-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #39: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), ordinal-{F}(V2) | epsilon_transitive-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #40: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), ordinal-{F}(V2) | epsilon_connected-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #41: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), epsilon_transitive-{F}(V2), epsilon_connected-{F}(V2) | ordinal-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #42: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | epsilon_transitive-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #43: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | epsilon_connected-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #44: input, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | ordinal-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #45: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #46: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_union2-{F}(V2,V3,V4), empty-{F}(V4) | empty-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #47: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_union2-{F}(V3,V2,V4), empty-{F}(V4) | empty-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #48: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #49: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #50: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #51: input, references = 10, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), V2 == V0 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #52: input, references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #53: input, references = 9, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #54: input, references = 4, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_union2-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #55: input, references = 4, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_union2-{F}(V2,V2,V3), V3 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #56: input, references = 4, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), finite-{F}(V2), P_set_union2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #57: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp2-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #58: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp2-{F}(V0) | finite-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #59: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #60: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V3,V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #61: input, references = 4, size of lhs = 1:
% 2.25/2.46 pppp4-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #62: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | finite-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #63: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | natural-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #64: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #65: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #66: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #67: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | one_to_one-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #68: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #69: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #70: input, references = 4, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #71: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #72: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #73: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp34-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #74: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp5-{F}(V0,V1) | finite-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #75: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #76: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #77: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #78: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp6-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #79: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp6-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #80: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #81: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp7-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #82: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp7-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #83: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp7-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #84: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #85: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #86: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp8-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #87: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp8-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #88: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #89: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp9-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #90: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp9-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #91: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp9-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #92: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp10-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #93: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp10-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #94: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp10-{F}(V0) | relation_non_empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #95: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp10-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #96: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #97: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp11-{F}(V0) | being_limit_ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #98: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp11-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #99: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp11-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #100: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp11-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #101: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp12-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #102: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp12-{F}(V0) | ordinal_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #103: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp12-{F}(V0) | transfinite_sequence-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #104: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp12-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #105: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp12-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #106: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp13-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #107: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp13-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #108: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp13-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #109: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp14-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #110: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp14-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #111: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #112: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp15-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #113: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #114: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp15-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #115: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp17-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #116: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp17-{F}(V0) | pppp16-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #117: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp16-{F}(V0) | natural-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #118: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp16-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #119: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp16-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #120: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp16-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #121: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #122: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp19-{T}(V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #123: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp19-{F}(V0,V1) | pppp18-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #124: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp18-{F}(V0,V1) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #125: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp18-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #126: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp18-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #127: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp18-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #128: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp18-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #129: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp21-{T}(V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #130: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp21-{F}(V0,V1) | pppp20-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #131: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | natural-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #132: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #133: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #134: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #135: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #136: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp20-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #137: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #138: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp22-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #139: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp22-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #140: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp22-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #141: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp24-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #142: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp24-{F}(V0) | pppp23-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #143: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #144: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #145: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #146: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #147: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | one_to_one-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #148: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #149: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp23-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #150: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp25-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #151: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp25-{F}(V0) | ordinal-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #152: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp25-{F}(V0) | epsilon_connected-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #153: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp25-{F}(V0) | epsilon_transitive-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #154: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp25-{F}(V0), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #155: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #156: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp26-{F}(V0) | transfinite_sequence-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #157: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp26-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #158: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp26-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #159: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #160: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp35-{F}(V0) | EXISTS V1: pppp27-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #161: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp27-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #162: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp27-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #163: input, references = 4, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp28-{T}(V4,V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #164: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp28-{F}(V0,V1) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #165: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp28-{F}(V0,V1) | element-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #166: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #167: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp29-{F}(V0) | empty-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #168: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #169: input, references = 3, size of lhs = 2:
% 2.25/2.46 pppp30-{F}(V0), empty-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #170: input, references = 3, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #171: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp31-{F}(V0) | function_yielding-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #172: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp31-{F}(V0) | function-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #173: input, references = 3, size of lhs = 1:
% 2.25/2.46 pppp31-{F}(V0) | relation-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #174: input, references = 4, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #175: input, references = 5, size of lhs = 1:
% 2.25/2.46 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #176: input, references = 4, size of lhs = 1:
% 2.25/2.46 pppp33-{F}(V0) | finite-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #177: input, references = 5, size of lhs = 3:
% 2.25/2.46 pppp32-{F}(V0,V1), P_set_union2-{F}(V0,V1,V2), finite-{F}(V2) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #178: input, references = 5, size of lhs = 2:
% 2.25/2.46 pppp32-{F}(V0,V1), P_set_union2-{F}(V0,V1,V2) | finite-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #179: input, references = 3, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), finite-{F}(V2), P_set_union2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #180: input, references = 4, size of lhs = 0:
% 2.25/2.46 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #181: input, references = 8, size of lhs = 2:
% 2.25/2.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #182: input, references = 3, size of lhs = 1:
% 2.25/2.46 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #183: input, references = 4, size of lhs = 0:
% 2.25/2.46 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 number of initial rules = 184
% 2.25/2.46
% 2.25/2.46 Simplifiers:
% 2.25/2.46 #184: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #185: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #186: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #187: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #188: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #189: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #190: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #191: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #192: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #193: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #194: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #195: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #196: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #197: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #198: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #199: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #200: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #201: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #202: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #203: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #204: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #205: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #206: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #207: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #208: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #209: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #210: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #211: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #212: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #213: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #214: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #215: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #216: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #217: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #218: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #219: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #220: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #221: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #222: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #223: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp27-{F}(V0,V1), pppp27-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #224: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp28-{F}(V0,V1), pppp28-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #225: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #226: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #227: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #228: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #229: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V1 == V3 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #230: unsound, references = 3, size of lhs = 3:
% 2.25/2.46 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 number of simplifiers = 47
% 2.25/2.46
% 2.25/2.46 Learnt:
% 2.25/2.46 #232: exists( #181, #55 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), #-{F} V2 | P_set_union2-{T}(V2,V2,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #234: exists( #181, #17 ), references = 2, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #236: exists( #181, #54 ), references = 3, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_set_union2-{F}(V2,V3,V4) | P_set_union2-{T}(V3,V2,V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #248: mergings( V0 == V3, V1 == V4; #244 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | pppp21-{T}(V1,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #251: mergings( V0 == V3, V1 == V4; #245 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | pppp21-{T}(V1,V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #259: mergings( V0 == V3, V1 == V4; #255 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | pppp7-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #262: mergings( V0 == V3, V1 == V4; #256 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | pppp7-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #270: mergings( V0 == V3, V1 == V4; #266 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | pppp29-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #273: mergings( V0 == V3, V1 == V4; #267 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | pppp29-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #281: mergings( V0 == V3, V1 == V4; #277 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | pppp13-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #284: mergings( V0 == V3, V1 == V4; #278 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | pppp13-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #295: mergings( V0 == V3, V1 == V4; #291 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | pppp24-{T}(V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #298: mergings( V0 == V3, V1 == V4; #292 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2) | pppp24-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #305: mergings( V0 == V4, V1 == V3; #300 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V2,V1) | in-{T}(V2,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #308: mergings( V0 == V4, V1 == V5; #301 ), references = 3, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), element-{F}(V2,V3), V3 == V0 | in-{T}(V2,V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #312: mergings( V0 == V4, V1 == V5, V3 == V4; #302 ), references = 1, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), V0 == V2, element-{F}(V3,V0) | in-{T}(V3,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #332: mergings( V0 == V5, V1 == V6; #329 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | pppp4-{T}(V3,V0)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #344: mergings( V0 == V4, V1 == V5; #339 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3), V2 == V0 | pppp35-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #348: mergings( V0 == V4, V1 == V5, V2 == V4; #340 ), references = 1, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), V0 == V2, P_powerset-{F}(V0,V3) | pppp35-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #352: mergings( V0 == V4, V1 == V5, V2 == V4; #341 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V0), P_powerset-{F}(V0,V3) | pppp35-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #360: mergings( V0 == V3, V3 == V5; #357 ), references = 3, size of lhs = 6:
% 2.25/2.46 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
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #382: mergings( V0 == V4, V1 == V5; #377 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3), V2 == V0 | pppp34-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #386: mergings( V0 == V4, V1 == V5, V2 == V4; #378 ), references = 1, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), V0 == V2, P_powerset-{F}(V0,V3) | pppp34-{T}(V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #391: mergings( V0 == V5, V3 == V6, V1 == V4, V2 == V5; #379 ), references = 1, size of lhs = 5:
% 2.25/2.46 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V1 | pppp34-{T}(V2)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #413: mergings( V0 == V5, V1 == V6; #409 ), references = 1, size of lhs = 3:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), P_powerset-{F}(V2,V3) | pppp28-{T}(V0,V3)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #416: mergings( V0 == V5, V1 == V6; #410 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), P_powerset-{F}(V3,V4) | pppp28-{T}(V2,V4)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #427: mergings( V0 == V4; #425 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp1-{T}(V3,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #468: exists( #175, #466 ), references = 1, size of lhs = 2:
% 2.25/2.46 pppp33-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #525: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6; #520 ), references = 1, size of lhs = 7:
% 2.25/2.46 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V4), V5 == V1 | pppp1-{T}(V5,V1)
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #571: mergings( V3 == V5, V4 == V6; #568 ), references = 2, size of lhs = 5:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), finite-{F}(V2), finite-{F}(V3), pppp32-{F}(V2,V3) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #589: mergings( V3 == V5, V4 == V6, V7 == V0; #585 ), references = 1, size of lhs = 4:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), finite-{F}(V2), pppp32-{F}(V3,V2) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #593: mergings( V2 == V4, V3 == V5; #590 ), references = 1, size of lhs = 4:
% 2.25/2.46 pppp33-{F}(V0), finite-{F}(V0), P_empty_set-{F}(V1), P_positive_rationals-{F}(V2) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #600: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #595 ), references = 1, size of lhs = 2:
% 2.25/2.46 P_empty_set-{F}(V0), P_positive_rationals-{F}(V1) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #604: mergings( V1 == V2, V2 == V3; #601 ), references = 1, size of lhs = 1:
% 2.25/2.46 P_empty_set-{F}(V0) | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 #606: exists( #180, #601 ), references = 1, size of lhs = 0:
% 2.25/2.46 FALSE | FALSE
% 2.25/2.46 (used 0 times, uses = {})
% 2.25/2.46
% 2.25/2.46 number of learnt formulas = 35
% 2.25/2.46
% 2.25/2.46
% 2.25/2.46 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/2.46
% 2.25/2.46 randbase = 1
%------------------------------------------------------------------------------