TSTP Solution File: SEU303+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:17:45 EDT 2022
% Result : Theorem 1.90s 2.07s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 18:08:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.90/2.07 GeoParameters:
% 1.90/2.07
% 1.90/2.07 tptp_input = 1
% 1.90/2.07 tptp_output = 0
% 1.90/2.07 nonempty = 1
% 1.90/2.07 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.07 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.90/2.07
% 1.90/2.07
% 1.90/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.07 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.07
% 1.90/2.07 RuleSystem INPUT:
% 1.90/2.07
% 1.90/2.07 Initial Rules:
% 1.90/2.07 #0: input, references = 3, size of lhs = 2:
% 1.90/2.07 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #1: input, references = 3, size of lhs = 2:
% 1.90/2.07 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #2: input, references = 3, size of lhs = 2:
% 1.90/2.07 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #3: input, references = 3, size of lhs = 2:
% 1.90/2.07 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #4: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | finite-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #5: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #6: input, references = 3, size of lhs = 1:
% 1.90/2.07 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #7: input, references = 3, size of lhs = 1:
% 1.90/2.07 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #8: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #9: input, references = 3, size of lhs = 2:
% 1.90/2.07 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #10: input, references = 3, size of lhs = 2:
% 1.90/2.07 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #11: input, references = 3, size of lhs = 2:
% 1.90/2.07 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #12: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #13: input, references = 3, size of lhs = 3:
% 1.90/2.07 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #14: input, references = 3, size of lhs = 2:
% 1.90/2.07 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #15: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #16: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #17: input, references = 3, size of lhs = 1:
% 1.90/2.07 empty-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #18: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #19: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #20: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #21: input, references = 5, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #22: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #23: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #24: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #25: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #26: input, references = 4, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_image-{F}(V2,V3,V4), finite-{F}(V3) | finite-{T}(V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #27: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #28: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #29: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #30: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #31: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #32: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #33: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #34: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #35: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #36: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #37: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp1-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #38: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #39: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #40: input, references = 3, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), relation-{F}(V2), function-{F}(V2), transfinite_sequence-{F}(V2) | epsilon_transitive-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #41: input, references = 3, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), relation-{F}(V2), function-{F}(V2), transfinite_sequence-{F}(V2) | epsilon_connected-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #42: input, references = 3, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), relation-{F}(V2), function-{F}(V2), transfinite_sequence-{F}(V2) | ordinal-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #43: input, references = 3, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), relation-{F}(V2), empty-{F}(V3) | empty-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #44: input, references = 3, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), relation-{F}(V2), relation_non_empty-{F}(V2), function-{F}(V2) | with_non_empty_elements-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #45: input, references = 3, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), relation-{F}(V2), empty-{F}(V3) | empty-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #46: input, references = 5, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), empty-{F}(V2) | empty-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #47: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), empty-{F}(V2) | relation-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #48: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #49: input, references = 5, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), empty-{F}(V2) | empty-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #50: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), empty-{F}(V2) | relation-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #51: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #52: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp3-{F}(V0) | pppp2-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #53: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp2-{F}(V0) | natural-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #54: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #55: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #56: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #57: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #58: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #59: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp4-{F}(V0) | finite-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #60: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #61: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #62: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #63: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp5-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #64: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp5-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #65: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #66: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp6-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #67: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp6-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #68: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #69: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp7-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #70: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #71: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #72: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #73: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #74: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp8-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #75: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #76: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #77: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #78: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp9-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #79: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp9-{F}(V0) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #80: input, references = 4, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp33-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #81: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp33-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #82: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #83: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #84: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #85: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp11-{F}(V0) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #86: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #87: input, references = 4, size of lhs = 1:
% 1.90/2.07 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #88: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #89: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #90: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #91: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #92: input, references = 4, size of lhs = 1:
% 1.90/2.07 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #93: input, references = 4, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #94: input, references = 4, size of lhs = 1:
% 1.90/2.07 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #95: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #96: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #97: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #98: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #99: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #100: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #101: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #102: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #103: input, references = 4, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #104: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #105: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #106: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp16-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #107: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp16-{F}(V0) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #108: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp16-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #109: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #110: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp18-{F}(V0) | pppp17-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #111: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #112: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #113: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #114: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #115: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #116: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #117: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp17-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #118: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #119: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #120: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #121: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp19-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #122: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp19-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #123: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #124: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp20-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #125: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #126: input, references = 4, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #127: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #128: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #129: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #130: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #131: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #132: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #133: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #134: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #135: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #136: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #137: input, references = 5, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #138: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #139: input, references = 4, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #140: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp34-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #141: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #142: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #143: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #144: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #145: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #146: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp26-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #147: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp26-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #148: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #149: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp27-{F}(V0) | ordinal-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #150: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #151: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #152: input, references = 3, size of lhs = 2:
% 1.90/2.07 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #153: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #154: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #155: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp28-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #156: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #157: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp29-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #158: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #159: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp29-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #160: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #161: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #162: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp30-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #163: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp30-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #164: input, references = 3, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #165: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp31-{F}(V0) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #166: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #167: input, references = 3, size of lhs = 1:
% 1.90/2.07 pppp31-{F}(V0) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #168: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #169: input, references = 4, size of lhs = 7:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V2,V3), P_relation_image-{F}(V2,V3,V4), P_relation_rng-{F}(V2,V5), relation-{F}(V2), V4 == V5 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #170: input, references = 3, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_image-{F}(V2,V3,V4), finite-{F}(V3) | finite-{T}(V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #171: input, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #172: input, references = 4, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp32-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #173: input, references = 4, size of lhs = 4:
% 1.90/2.07 pppp32-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), finite-{F}(V2) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #174: input, references = 4, size of lhs = 3:
% 1.90/2.07 pppp32-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | finite-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #175: input, references = 4, size of lhs = 3:
% 1.90/2.07 pppp32-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | function-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #176: input, references = 4, size of lhs = 3:
% 1.90/2.07 pppp32-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #177: input, references = 4, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #178: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #179: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #180: input, references = 4, size of lhs = 5:
% 1.90/2.07 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)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #181: input, references = 4, size of lhs = 6:
% 1.90/2.07 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
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #182: input, references = 12, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #183: input, references = 3, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #184: input, references = 11, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #185: input, references = 3, size of lhs = 1:
% 1.90/2.07 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #186: input, references = 4, size of lhs = 0:
% 1.90/2.07 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #187: input, references = 4, size of lhs = 0:
% 1.90/2.07 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #188: input, references = 4, size of lhs = 2:
% 1.90/2.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_image-{T}(V0,V1,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #189: input, references = 7, size of lhs = 1:
% 1.90/2.07 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #190: input, references = 8, size of lhs = 1:
% 1.90/2.07 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 number of initial rules = 191
% 1.90/2.07
% 1.90/2.07 Simplifiers:
% 1.90/2.07 #191: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #192: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #193: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #194: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #195: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #196: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #197: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #198: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_relation_image-{F}(V0,V1,V2), P_relation_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #199: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #200: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #201: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #202: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #203: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #204: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #205: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #206: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #207: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #208: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #209: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #210: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #211: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #212: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #213: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #214: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #215: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #216: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #217: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #218: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #219: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #220: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #221: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #222: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #223: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #224: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #225: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #226: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #227: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #228: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #229: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #230: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #231: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #232: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #233: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #234: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #235: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #236: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #237: unsound, references = 3, size of lhs = 3:
% 1.90/2.07 pppp32-{F}(V0), pppp32-{F}(V1), V0 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 number of simplifiers = 47
% 1.90/2.07
% 1.90/2.07 Learnt:
% 1.90/2.07 #246: mergings( V2 == V4, V3 == V5; #242 ), references = 1, size of lhs = 3:
% 1.90/2.07 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #249: mergings( V2 == V4, V3 == V5; #243 ), references = 1, size of lhs = 4:
% 1.90/2.07 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_dom-{T}(V0,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #257: mergings( V2 == V4, V3 == V5; #253 ), references = 1, size of lhs = 3:
% 1.90/2.07 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #260: mergings( V2 == V4, V3 == V5; #254 ), references = 1, size of lhs = 4:
% 1.90/2.07 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #263: exists( #188, #169 ), references = 2, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_image-{T}(V2,V3,V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #273: mergings( V0 == V3, V1 == V4; #269 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #276: mergings( V0 == V3, V1 == V4; #270 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #292: mergings( V0 == V3, V1 == V4; #288 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #295: mergings( V0 == V3, V1 == V4; #289 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #320: mergings( V0 == V3, V1 == V4; #316 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #323: mergings( V0 == V3, V1 == V4; #317 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #335: mergings( V0 == V3, V1 == V4; #331 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #338: mergings( V0 == V3, V1 == V4; #332 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #354: mergings( V0 == V3, V1 == V4; #350 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #357: mergings( V0 == V3, V1 == V4; #351 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #386: mergings( V0 == V3, V1 == V4; #381 ), references = 2, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #389: mergings( V0 == V4, V1 == V5; #382 ), references = 2, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #393: mergings( V0 == V4, V1 == V5, V3 == V5; #383 ), references = 1, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #410: mergings( V2 == V4, V3 == V5, V6 == V7; #406 ), references = 2, size of lhs = 7:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp32-{F}(V2), finite-{F}(V3), P_relation_dom-{F}(V2,V3) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #414: mergings( V0 == V5; #412 ), references = 1, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp32-{F}(V2), P_relation_dom-{F}(V2,V3) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #416: exists( #189, #412 ), references = 2, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp32-{F}(V2) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #431: mergings( V0 == V5, V1 == V6; #428 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #466: mergings( V0 == V4, V1 == V5; #461 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp33-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #470: mergings( V0 == V4, V1 == V5, V2 == V5; #462 ), references = 1, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp33-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #474: mergings( V0 == V4, V1 == V5, V2 == V5; #463 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp33-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #503: mergings( V0 == V4, V1 == V5; #498 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #507: mergings( V0 == V4, V1 == V5, V2 == V5; #499 ), references = 1, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #511: mergings( V0 == V4, V1 == V5, V2 == V5; #500 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #542: mergings( V0 == V5, V1 == V6; #538 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #545: mergings( V0 == V5, V1 == V6; #539 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V3,V4) | pppp21-{T}(V2,V4)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #573: exists( #190, #567 ), references = 1, size of lhs = 5:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp32-{F}(V2), P_relation_dom-{F}(V2,V3) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #576: exists( #189, #570 ), references = 2, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp32-{F}(V2) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #599: mergings( V0 == V3, V3 == V5, V4 == V6; #595 ), references = 2, size of lhs = 6:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V1 | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #613: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V9, V1 == V3, V3 == V5, V5 == V8, V8 == V10; #604 ), references = 1, size of lhs = 6:
% 1.90/2.07 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}(V0,V4) | pppp13-{T}(V0,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #629: mergings( V0 == V3; #627 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp0-{T}(V3,V1)
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #648: exists( #190, #641 ), references = 1, size of lhs = 4:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), pppp32-{F}(V2), P_relation_dom-{F}(V2,V3) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #652: exists( #189, #645 ), references = 1, size of lhs = 3:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), pppp32-{F}(V2) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #658: mergings( V0 == V3, V1 == V4; #653 ), references = 1, size of lhs = 2:
% 1.90/2.07 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #663: mergings( V1 == V2; #659 ), references = 1, size of lhs = 1:
% 1.90/2.07 P_positive_rationals-{F}(V0) | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 #667: exists( #186, #659 ), references = 1, size of lhs = 0:
% 1.90/2.07 FALSE | FALSE
% 1.90/2.07 (used 0 times, uses = {})
% 1.90/2.07
% 1.90/2.07 number of learnt formulas = 40
% 1.90/2.07
% 1.90/2.07
% 1.90/2.07 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.07
% 1.90/2.07 randbase = 1
%------------------------------------------------------------------------------