TSTP Solution File: SEU089+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 26.73s 26.90s
% Output : Refutation 26.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:38:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 26.73/26.90 GeoParameters:
% 26.73/26.90
% 26.73/26.90 tptp_input = 1
% 26.73/26.90 tptp_output = 0
% 26.73/26.90 nonempty = 1
% 26.73/26.90 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.73/26.90 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 26.73/26.90
% 26.73/26.90
% 26.73/26.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.73/26.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.73/26.90
% 26.73/26.90 RuleSystem INPUT:
% 26.73/26.90
% 26.73/26.90 Initial Rules:
% 26.73/26.90 #0: input, references = 3, size of lhs = 2:
% 26.73/26.90 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #1: input, references = 3, size of lhs = 2:
% 26.73/26.90 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #2: input, references = 3, size of lhs = 2:
% 26.73/26.90 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #3: input, references = 3, size of lhs = 2:
% 26.73/26.90 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #4: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #5: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #6: input, references = 3, size of lhs = 1:
% 26.73/26.90 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #7: input, references = 3, size of lhs = 1:
% 26.73/26.90 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #8: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #9: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_cartesian_product2-{F}(V2,V1,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #10: input, references = 3, size of lhs = 2:
% 26.73/26.90 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #11: input, references = 3, size of lhs = 2:
% 26.73/26.90 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #12: input, references = 3, size of lhs = 2:
% 26.73/26.90 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #13: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #14: input, references = 3, size of lhs = 3:
% 26.73/26.90 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #15: input, references = 3, size of lhs = 2:
% 26.73/26.90 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #16: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #17: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #18: input, references = 3, size of lhs = 1:
% 26.73/26.90 empty-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #19: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #20: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #21: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #22: input, references = 5, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_cartesian_product3-{F}(V1,V2,V3,V4), P_cartesian_product2-{F}(V1,V2,V5), P_cartesian_product2-{F}(V5,V3,V6), V4 == V6 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #23: input, references = 5, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #24: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #25: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #26: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #27: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #28: input, references = 5, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_cartesian_product2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #29: input, references = 3, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #30: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #31: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #32: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #33: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #34: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #35: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #36: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #37: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #38: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #39: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp1-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #40: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #41: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #42: input, references = 4, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V3,V2,V4), empty-{F}(V4) | empty-{T}(V2), empty-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #43: input, references = 3, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product3-{F}(V4,V3,V2,V5), empty-{F}(V5) | empty-{T}(V2), empty-{T}(V3), empty-{T}(V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #44: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #45: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #46: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp3-{F}(V0) | pppp2-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #47: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp2-{F}(V0) | natural-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #48: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp2-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #49: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #50: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #51: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #52: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #53: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp4-{F}(V0) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #54: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #55: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #56: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #57: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp5-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #58: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp5-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #59: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #60: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp6-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #61: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp6-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #62: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #63: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp7-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #64: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #65: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #66: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #67: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #68: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp8-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #69: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #70: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #71: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #72: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp9-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #73: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp9-{F}(V0) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #74: input, references = 4, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #75: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp35-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #76: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #77: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #78: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #79: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp11-{F}(V0) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #80: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #81: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #82: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #83: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #84: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #85: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #86: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #87: input, references = 4, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #88: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #89: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #90: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #91: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #92: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #93: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #94: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #95: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #96: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #97: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #98: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #99: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #100: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp16-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #101: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp16-{F}(V0) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #102: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp16-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #103: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #104: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp18-{F}(V0) | pppp17-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #105: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #106: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #107: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #108: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #109: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #110: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #111: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp17-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #112: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #113: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #114: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #115: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp19-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #116: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp19-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #117: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #118: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp20-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #119: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #120: input, references = 4, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #121: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #122: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #123: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #124: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #125: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #126: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #127: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #128: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #129: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #130: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #131: input, references = 5, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #132: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #133: input, references = 4, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp36-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #134: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp36-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #135: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #136: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #137: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #138: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #139: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #140: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp26-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #141: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp26-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #142: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #143: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp27-{F}(V0) | ordinal-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #144: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #145: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #146: input, references = 3, size of lhs = 2:
% 26.73/26.90 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #147: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #148: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #149: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp28-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #150: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #151: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp29-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #152: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #153: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp29-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #154: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #155: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #156: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp30-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #157: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp30-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #158: input, references = 3, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #159: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp31-{F}(V0) | function-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #160: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #161: input, references = 3, size of lhs = 1:
% 26.73/26.90 pppp31-{F}(V0) | relation-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #162: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #163: input, references = 3, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_cartesian_product2-{F}(V3,V2,V4), finite-{F}(V3) | finite-{T}(V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #164: input, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #165: input, references = 4, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp34-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #166: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp34-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #167: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp34-{F}(V0) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #168: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp33-{F}(V0,V1) | EXISTS V2: pppp32-{T}(V2,V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #169: input, references = 4, size of lhs = 1:
% 26.73/26.90 pppp33-{F}(V0,V1) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #170: input, references = 4, size of lhs = 3:
% 26.73/26.90 pppp32-{F}(V0,V1,V2), P_cartesian_product3-{F}(V0,V1,V2,V3), finite-{F}(V3) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #171: input, references = 4, size of lhs = 2:
% 26.73/26.90 pppp32-{F}(V0,V1,V2), P_cartesian_product3-{F}(V0,V1,V2,V3) | finite-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #172: input, references = 4, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #173: input, references = 3, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #174: input, references = 3, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #175: input, references = 3, size of lhs = 5:
% 26.73/26.90 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)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #176: input, references = 4, size of lhs = 6:
% 26.73/26.90 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
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #177: input, references = 10, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #178: input, references = 3, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #179: input, references = 9, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #180: input, references = 3, size of lhs = 1:
% 26.73/26.90 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #181: input, references = 5, size of lhs = 2:
% 26.73/26.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #182: input, references = 4, size of lhs = 0:
% 26.73/26.90 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #183: input, references = 5, size of lhs = 3:
% 26.73/26.90 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_cartesian_product3-{T}(V0,V1,V2,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #184: input, references = 4, size of lhs = 0:
% 26.73/26.90 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 number of initial rules = 185
% 26.73/26.90
% 26.73/26.90 Simplifiers:
% 26.73/26.90 #185: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #186: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #187: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #188: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #189: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #190: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #191: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #192: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 P_cartesian_product3-{F}(V0,V1,V2,V3), P_cartesian_product3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #193: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #194: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #195: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #196: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #197: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #198: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #199: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #200: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #201: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #202: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #203: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #204: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #205: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #206: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #207: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #208: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #209: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #210: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #211: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #212: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #213: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #214: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #215: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #216: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #217: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #218: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #219: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #220: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #221: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #222: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #223: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #224: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #225: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #226: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #227: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #228: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #229: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #230: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V1,V2), V0 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #231: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V2), V1 == V4 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #232: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V2 == V5 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #233: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp33-{F}(V0,V1), pppp33-{F}(V2,V1), V0 == V2 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #234: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp33-{F}(V0,V1), pppp33-{F}(V2,V3), V1 == V3 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #235: unsound, references = 3, size of lhs = 3:
% 26.73/26.90 pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 number of simplifiers = 51
% 26.73/26.90
% 26.73/26.90 Learnt:
% 26.73/26.90 #238: exists( #183, #22 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V3,V4,V5) | P_cartesian_product3-{T}(V1,V2,V4,V5)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #241: exists( #181, #22 ), references = 2, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product3-{F}(V1,V2,V4,V5) | P_cartesian_product2-{T}(V3,V4,V5)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #250: mergings( V0 == V3, V1 == V4; #246 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #253: mergings( V0 == V3, V1 == V4; #247 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #263: mergings( V0 == V3, V1 == V4; #259 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #266: mergings( V0 == V3, V1 == V4; #260 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #274: mergings( V0 == V3, V1 == V4; #270 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #277: mergings( V0 == V3, V1 == V4; #271 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #291: mergings( V0 == V3, V1 == V4; #287 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #294: mergings( V0 == V3, V1 == V4; #288 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #307: mergings( V0 == V3, V1 == V4; #303 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #310: mergings( V0 == V3, V1 == V4; #304 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #321: mergings( V0 == V3, V1 == V4; #316 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #324: mergings( V0 == V4, V1 == V5; #317 ), references = 2, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #328: mergings( V0 == V4, V1 == V5, V3 == V5; #318 ), references = 1, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #339: mergings( V0 == V4, V1 == V5; #334 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #343: mergings( V0 == V4, V1 == V5, V2 == V5; #335 ), references = 1, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #347: mergings( V0 == V4, V1 == V5, V2 == V5; #336 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #365: mergings( V0 == V4, V1 == V5; #360 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp36-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #369: mergings( V0 == V4, V1 == V5, V2 == V5; #361 ), references = 1, size of lhs = 5:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp36-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #373: mergings( V0 == V4, V1 == V5, V2 == V5; #362 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp36-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #396: mergings( V0 == V5, V1 == V6; #393 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #423: mergings( V0 == V5, V1 == V6; #419 ), references = 1, size of lhs = 3:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #426: mergings( V0 == V5, V1 == V6; #420 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V3,V4) | pppp21-{T}(V2,V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #441: mergings( V0 == V5, V1 == V6; #436 ), references = 1, size of lhs = 5:
% 26.73/26.90 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), P_cartesian_product2-{F}(V3,V4,V0), V4 == V2 | empty-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #445: mergings( V0 == V5, V1 == V6, V3 == V6; #437 ), references = 1, size of lhs = 6:
% 26.73/26.90 empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), V2 == V3, P_cartesian_product2-{F}(V4,V2,V0) | empty-{T}(V4)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #450: mergings( V0 == V5, V1 == V6, V3 == V6, V6 == V4; #438 ), references = 1, size of lhs = 5:
% 26.73/26.90 empty-{F}(V0), P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), in-{F}(V2,V0), P_cartesian_product2-{F}(V3,V0,V0) | empty-{T}(V3)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #534: mergings( V0 == V3, V3 == V5, V4 == V6; #530 ), references = 1, size of lhs = 6:
% 26.73/26.90 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
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #541: mergings( V0 == V3, V3 == V4, V4 == V6, V5 == V7; #536 ), references = 1, size of lhs = 4:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp0-{T}(V3,V1)
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #673: mergings( V4 == V5, V5 == V8, V6 == V9; #669 ), references = 1, size of lhs = 7:
% 26.73/26.90 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_cartesian_product2-{F}(V4,V0,V5), P_cartesian_product2-{F}(V4,V6,V5), pppp32-{F}(V4,V6,V3) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #678: mergings( V3 == V4, V4 == V6, V5 == V7; #674 ), references = 1, size of lhs = 5:
% 26.73/26.90 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), pppp32-{F}(V4,V0,V3) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #683: mergings( V3 == V4, V4 == V6, V5 == V7; #679 ), references = 2, size of lhs = 5:
% 26.73/26.90 finite-{F}(V0), pppp33-{F}(V0,V1), finite-{F}(V1), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #686: exists( #166, #684 ), references = 2, size of lhs = 4:
% 26.73/26.90 pppp34-{F}(V0), finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #691: mergings( V0 == V3, V1 == V4; #688 ), references = 1, size of lhs = 2:
% 26.73/26.90 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #694: mergings( V1 == V2; #692 ), references = 1, size of lhs = 1:
% 26.73/26.90 P_positive_rationals-{F}(V0) | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 #696: exists( #182, #692 ), references = 1, size of lhs = 0:
% 26.73/26.90 FALSE | FALSE
% 26.73/26.90 (used 0 times, uses = {})
% 26.73/26.90
% 26.73/26.90 number of learnt formulas = 36
% 26.73/26.90
% 26.73/26.90
% 26.73/26.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.73/26.90
% 26.73/26.90 randbase = 1
%------------------------------------------------------------------------------