TSTP Solution File: SEU096+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:10 EDT 2022
% Result : Theorem 4.59s 4.79s
% Output : Refutation 4.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:08:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.59/4.79 GeoParameters:
% 4.59/4.79
% 4.59/4.79 tptp_input = 1
% 4.59/4.79 tptp_output = 0
% 4.59/4.79 nonempty = 1
% 4.59/4.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/4.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.59/4.79
% 4.59/4.79
% 4.59/4.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/4.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/4.79
% 4.59/4.79 RuleSystem INPUT:
% 4.59/4.79
% 4.59/4.79 Initial Rules:
% 4.59/4.79 #0: input, references = 3, size of lhs = 2:
% 4.59/4.79 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #1: input, references = 3, size of lhs = 2:
% 4.59/4.79 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #2: input, references = 3, size of lhs = 2:
% 4.59/4.79 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #3: input, references = 3, size of lhs = 2:
% 4.59/4.79 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #4: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | finite-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #5: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #6: input, references = 3, size of lhs = 1:
% 4.59/4.79 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #7: input, references = 3, size of lhs = 1:
% 4.59/4.79 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #8: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #9: input, references = 3, size of lhs = 2:
% 4.59/4.79 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #10: input, references = 3, size of lhs = 2:
% 4.59/4.79 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #11: input, references = 3, size of lhs = 2:
% 4.59/4.79 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #12: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #13: input, references = 3, size of lhs = 3:
% 4.59/4.79 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #14: input, references = 3, size of lhs = 2:
% 4.59/4.79 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #15: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #16: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #17: input, references = 3, size of lhs = 1:
% 4.59/4.79 empty-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #18: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #19: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #20: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #21: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #22: input, references = 4, size of lhs = 1:
% 4.59/4.79 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #23: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #24: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #25: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #26: input, references = 4, size of lhs = 6:
% 4.59/4.79 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)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #27: input, references = 3, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #28: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #29: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #30: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #31: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #32: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #33: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #34: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #35: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #36: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #37: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp1-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #38: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #39: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #40: input, references = 3, size of lhs = 6:
% 4.59/4.79 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)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #41: input, references = 3, size of lhs = 5:
% 4.59/4.79 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)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #42: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #43: input, references = 5, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), empty-{F}(V2) | empty-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #44: input, references = 3, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), empty-{F}(V2) | relation-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #45: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #46: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp3-{F}(V0) | pppp2-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #47: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp2-{F}(V0) | natural-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #48: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp2-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #49: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #50: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #51: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #52: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #53: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp4-{F}(V0) | finite-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #54: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #55: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #56: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #57: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp5-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #58: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp5-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #59: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #60: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp6-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #61: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp6-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #62: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #63: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp7-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #64: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #65: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #66: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #67: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #68: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp8-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #69: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #70: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #71: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #72: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp9-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #73: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp9-{F}(V0) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #74: input, references = 4, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #75: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #76: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #77: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #78: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #79: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp11-{F}(V0) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #80: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #81: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #82: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #83: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #84: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #85: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #86: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #87: input, references = 4, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #88: input, references = 4, size of lhs = 1:
% 4.59/4.79 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #89: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #90: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #91: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #92: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #93: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #94: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #95: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #96: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #97: input, references = 4, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #98: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #99: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #100: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp16-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #101: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp16-{F}(V0) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #102: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp16-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #103: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #104: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp18-{F}(V0) | pppp17-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #105: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #106: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #107: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #108: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #109: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #110: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #111: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp17-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #112: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #113: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #114: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #115: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp19-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #116: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp19-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #117: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #118: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp20-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #119: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #120: input, references = 4, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #121: input, references = 4, size of lhs = 1:
% 4.59/4.79 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #122: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #123: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #124: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #125: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #126: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #127: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #128: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #129: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #130: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #131: input, references = 5, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #132: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #133: input, references = 4, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #134: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp35-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #135: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #136: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #137: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #138: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #139: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #140: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp26-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #141: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp26-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #142: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #143: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp27-{F}(V0) | ordinal-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #144: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #145: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #146: input, references = 3, size of lhs = 2:
% 4.59/4.79 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #147: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #148: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #149: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp28-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #150: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #151: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp29-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #152: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #153: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp29-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #154: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #155: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #156: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp30-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #157: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp30-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #158: input, references = 3, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #159: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp31-{F}(V0) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #160: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #161: input, references = 3, size of lhs = 1:
% 4.59/4.79 pppp31-{F}(V0) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #162: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #163: input, references = 5, size of lhs = 9:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V2,V3), relation-{F}(V2), function-{F}(V2), P_relation_inverse_image-{F}(V2,V4,V5), P_relation_image-{F}(V2,V5,V6), subset-{F}(V4,V3), V6 == V4 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #164: input, references = 3, size of lhs = 6:
% 4.59/4.79 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)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #165: input, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #166: input, references = 4, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #167: input, references = 5, size of lhs = 2:
% 4.59/4.79 pppp33-{F}(V0), P_relation_rng-{F}(V0,V1) | EXISTS V2: pppp32-{T}(V2,V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #168: input, references = 4, size of lhs = 2:
% 4.59/4.79 pppp33-{F}(V0), P_relation_rng-{F}(V0,V1) | function-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #169: input, references = 4, size of lhs = 2:
% 4.59/4.79 pppp33-{F}(V0), P_relation_rng-{F}(V0,V1) | relation-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #170: input, references = 4, size of lhs = 3:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V1,V0,V3), finite-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #171: input, references = 4, size of lhs = 2:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V1,V0,V3) | finite-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #172: input, references = 6, size of lhs = 2:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V1,V0,V3) | subset-{T}(V0,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #173: input, references = 5, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #174: input, references = 3, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #175: input, references = 4, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #176: input, references = 3, size of lhs = 5:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4), in-{F}(V5,V2) | element-{T}(V5,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #177: input, references = 4, size of lhs = 6:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V2), element-{F}(V4,V3), in-{F}(V5,V4) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #178: input, references = 11, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #179: input, references = 3, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #180: input, references = 9, size of lhs = 5:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #181: input, references = 3, size of lhs = 1:
% 4.59/4.79 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #182: input, references = 4, size of lhs = 0:
% 4.59/4.79 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #183: input, references = 4, size of lhs = 0:
% 4.59/4.79 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #184: input, references = 4, size of lhs = 2:
% 4.59/4.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_image-{T}(V0,V1,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #185: input, references = 6, size of lhs = 1:
% 4.59/4.79 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #186: input, references = 7, size of lhs = 2:
% 4.59/4.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_inverse_image-{T}(V0,V1,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 number of initial rules = 187
% 4.59/4.79
% 4.59/4.79 Simplifiers:
% 4.59/4.79 #187: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #188: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #189: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #190: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #191: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #192: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #193: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #194: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_relation_image-{F}(V0,V1,V2), P_relation_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #195: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #196: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 P_relation_inverse_image-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #197: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #198: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #199: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #200: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #201: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #202: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #203: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #204: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #205: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #206: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #207: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #208: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #209: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #210: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #211: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #212: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #213: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #214: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #215: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #216: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #217: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #218: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #219: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #220: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #221: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #222: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #223: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #224: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #225: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #226: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #227: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #228: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #229: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #230: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #231: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #232: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #233: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V1,V2), V0 == V3 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #234: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V1 == V4 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #235: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V1,V5), V2 == V5 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #236: unsound, references = 3, size of lhs = 3:
% 4.59/4.79 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 number of simplifiers = 50
% 4.59/4.79
% 4.59/4.79 Learnt:
% 4.59/4.79 #244: mergings( V2 == V4, V3 == V5; #240 ), references = 1, size of lhs = 3:
% 4.59/4.79 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #247: mergings( V2 == V4, V3 == V5; #241 ), references = 1, size of lhs = 4:
% 4.59/4.79 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #250: exists( #184, #163 ), references = 2, size of lhs = 7:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_rng-{F}(V2,V3), subset-{F}(V4,V3), P_relation_inverse_image-{F}(V2,V4,V5) | P_relation_image-{T}(V2,V5,V4)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #260: mergings( V0 == V3, V1 == V4; #256 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #263: mergings( V0 == V3, V1 == V4; #257 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #276: mergings( V0 == V3, V1 == V4; #272 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #279: mergings( V0 == V3, V1 == V4; #273 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #290: mergings( V0 == V3, V1 == V4; #286 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #293: mergings( V0 == V3, V1 == V4; #287 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #306: mergings( V0 == V3, V1 == V4; #302 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #309: mergings( V0 == V3, V1 == V4; #303 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #322: mergings( V0 == V3, V1 == V4; #318 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #325: mergings( V0 == V3, V1 == V4; #319 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #336: mergings( V0 == V4, V1 == V5; #333 ), references = 1, size of lhs = 6:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), element-{F}(V5,V4) | empty-{T}(V4)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #355: mergings( V0 == V3, V1 == V4; #350 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #358: mergings( V0 == V4, V1 == V5; #351 ), references = 2, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #362: mergings( V0 == V4, V1 == V5, V3 == V5; #352 ), references = 1, size of lhs = 5:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #376: mergings( V0 == V4, V1 == V5; #371 ), references = 1, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #380: mergings( V0 == V4, V1 == V5, V2 == V5; #372 ), references = 1, size of lhs = 5:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #384: mergings( V0 == V4, V1 == V5, V2 == V5; #373 ), references = 1, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #435: mergings( V0 == V4, V1 == V5; #430 ), references = 1, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #439: mergings( V0 == V4, V1 == V5, V2 == V5; #431 ), references = 1, size of lhs = 5:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #443: mergings( V0 == V4, V1 == V5, V2 == V5; #432 ), references = 1, size of lhs = 4:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #492: mergings( V0 == V5, V1 == V6; #489 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #515: mergings( V0 == V5, V1 == V6; #512 ), references = 1, size of lhs = 3:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #569: exists( #186, #170 ), references = 2, size of lhs = 2:
% 4.59/4.79 finite-{F}(V0), pppp32-{F}(V0,V1,V2) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #645: mergings( V3 == V5, V4 == V6; #642 ), references = 2, size of lhs = 7:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), in-{F}(V5,V6), pppp32-{F}(V6,V7,V4) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #704: mergings( V0 == V3, V3 == V5, V4 == V6; #700 ), references = 1, size of lhs = 7:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), pppp32-{F}(V5,V6,V4), V5 == V1 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #709: mergings( V3 == V4, V4 == V6, V5 == V7; #705 ), references = 1, size of lhs = 7:
% 4.59/4.79 pppp33-{F}(V0), P_relation_rng-{F}(V0,V1), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V1,V5) | pppp32-{T}(V3,V0,V1)
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #823: exists( #186, #821 ), references = 1, size of lhs = 9:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_rng-{F}(V2,V3), pppp32-{F}(V4,V5,V3), P_relation_inverse_image-{F}(V2,V4,V6), P_relation_image-{F}(V2,V6,V7), V7 == V4 | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #843: mergings( V3 == V5, V4 == V6, V0 == V9, V7 == V8, V8 == V10; #835 ), references = 1, size of lhs = 6:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_rng-{F}(V2,V3), pppp32-{F}(V4,V2,V3) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #848: mergings( V3 == V5, V4 == V6; #844 ), references = 2, size of lhs = 6:
% 4.59/4.79 pppp33-{F}(V0), relation-{F}(V0), function-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #860: exists( #185, #848 ), references = 2, size of lhs = 5:
% 4.59/4.79 pppp33-{F}(V0), relation-{F}(V0), function-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #885: exists( #185, #881 ), references = 1, size of lhs = 3:
% 4.59/4.79 pppp33-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #890: mergings( V0 == V3, V1 == V4; #886 ), references = 1, size of lhs = 2:
% 4.59/4.79 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #894: mergings( V1 == V2; #891 ), references = 1, size of lhs = 1:
% 4.59/4.79 P_positive_rationals-{F}(V0) | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 #897: exists( #182, #891 ), references = 1, size of lhs = 0:
% 4.59/4.79 FALSE | FALSE
% 4.59/4.79 (used 0 times, uses = {})
% 4.59/4.79
% 4.59/4.79 number of learnt formulas = 37
% 4.59/4.79
% 4.59/4.79
% 4.59/4.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/4.79
% 4.59/4.79 randbase = 1
%------------------------------------------------------------------------------