TSTP Solution File: SEU094+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 5.44s 5.65s
% Output : Refutation 5.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 19:13:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.44/5.65 GeoParameters:
% 5.44/5.65
% 5.44/5.65 tptp_input = 1
% 5.44/5.65 tptp_output = 0
% 5.44/5.65 nonempty = 1
% 5.44/5.65 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.44/5.65
% 5.44/5.65
% 5.44/5.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65
% 5.44/5.65 RuleSystem INPUT:
% 5.44/5.65
% 5.44/5.65 Initial Rules:
% 5.44/5.65 #0: input, references = 4, size of lhs = 2:
% 5.44/5.65 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1: input, references = 3, size of lhs = 2:
% 5.44/5.65 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #2: input, references = 3, size of lhs = 2:
% 5.44/5.65 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #3: input, references = 3, size of lhs = 2:
% 5.44/5.65 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #4: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | finite-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #5: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #6: input, references = 3, size of lhs = 1:
% 5.44/5.65 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #7: input, references = 3, size of lhs = 1:
% 5.44/5.65 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #8: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #9: input, references = 3, size of lhs = 2:
% 5.44/5.65 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #10: input, references = 3, size of lhs = 2:
% 5.44/5.65 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #11: input, references = 3, size of lhs = 2:
% 5.44/5.65 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #12: input, references = 5, size of lhs = 3:
% 5.44/5.65 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #13: input, references = 3, size of lhs = 3:
% 5.44/5.65 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #14: input, references = 3, size of lhs = 2:
% 5.44/5.65 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #15: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #16: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #17: input, references = 3, size of lhs = 1:
% 5.44/5.65 empty-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #18: input, references = 3, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #19: input, references = 3, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #20: input, references = 3, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #21: input, references = 6, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp1-{T}(V1,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #22: input, references = 6, size of lhs = 1:
% 5.44/5.65 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #23: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #24: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #25: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #26: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #27: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #28: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp2-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #29: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #30: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #31: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #32: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #33: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #34: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #35: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #36: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp2-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #37: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V2,V3), ordinal-{F}(V2) | epsilon_transitive-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #38: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V2,V3), ordinal-{F}(V2) | epsilon_connected-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #39: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V2,V3), ordinal-{F}(V2) | ordinal-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #40: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #41: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #42: input, references = 3, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #43: input, references = 5, size of lhs = 4:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V2,V3), finite-{F}(V2) | pppp36-{T}(V2), finite-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #44: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp36-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #45: input, references = 4, size of lhs = 2:
% 5.44/5.65 pppp3-{F}(V0,V1), finite-{F}(V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #46: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #47: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #48: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp5-{F}(V0) | pppp4-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #49: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp4-{F}(V0) | natural-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #50: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp4-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #51: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #52: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #53: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #54: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #55: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp6-{F}(V0) | finite-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #56: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #57: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #58: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp7-{F}(V0) | function_yielding-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #59: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp7-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #60: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp7-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #61: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #62: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp8-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #63: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp8-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #64: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #65: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp9-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #66: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #67: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #68: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp10-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #69: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp10-{F}(V0) | being_limit_ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #70: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp10-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #71: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp10-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #72: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp10-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #73: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #74: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp11-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #75: input, references = 5, size of lhs = 1:
% 5.44/5.65 pppp11-{F}(V0) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #76: input, references = 4, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp37-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #77: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp37-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #78: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #79: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #80: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #81: input, references = 5, size of lhs = 1:
% 5.44/5.65 pppp13-{F}(V0) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #82: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp15-{T}(V0,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #83: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #84: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #85: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #86: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #87: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp14-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #88: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #89: input, references = 4, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp17-{T}(V3,V4)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #90: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp17-{F}(V0,V1) | pppp16-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #91: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | finite-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #92: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | natural-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #93: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #94: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #95: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #96: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | one_to_one-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #97: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #98: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #99: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #100: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #101: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #102: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp18-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #103: input, references = 5, size of lhs = 1:
% 5.44/5.65 pppp18-{F}(V0) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #104: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp18-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #105: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #106: input, references = 5, size of lhs = 1:
% 5.44/5.65 pppp20-{F}(V0) | pppp19-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #107: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #108: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #109: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #110: input, references = 5, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #111: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | one_to_one-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #112: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #113: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp19-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #114: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp21-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #115: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp21-{F}(V0) | ordinal_yielding-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #116: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp21-{F}(V0) | transfinite_sequence-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #117: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp21-{F}(V0) | function-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #118: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp21-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #119: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #120: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp22-{F}(V0) | relation-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #121: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #122: input, references = 4, size of lhs = 3:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp23-{T}(V4,V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #123: input, references = 4, size of lhs = 1:
% 5.44/5.65 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #124: input, references = 3, size of lhs = 1:
% 5.44/5.65 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #125: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #126: input, references = 3, size of lhs = 2:
% 5.44/5.65 pppp24-{F}(V0), empty-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #127: input, references = 4, size of lhs = 2:
% 5.44/5.65 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #128: input, references = 5, size of lhs = 1:
% 5.44/5.66 pppp26-{F}(V0,V1) | pppp25-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #129: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | natural-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #130: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | ordinal-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #131: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #132: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #133: input, references = 5, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | empty-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #134: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #135: input, references = 4, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp38-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #136: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp38-{F}(V0) | EXISTS V1: pppp27-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #137: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp27-{F}(V0,V1) | finite-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #138: input, references = 3, size of lhs = 2:
% 5.44/5.66 pppp27-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #139: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp27-{F}(V0,V1) | element-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #140: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #141: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp28-{F}(V0) | one_to_one-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #142: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp28-{F}(V0) | function-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #143: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp28-{F}(V0) | relation-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #144: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #145: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp29-{F}(V0) | ordinal-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #146: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp29-{F}(V0) | epsilon_connected-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #147: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp29-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #148: input, references = 3, size of lhs = 2:
% 5.44/5.66 pppp29-{F}(V0), empty-{F}(V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #149: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #150: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp30-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #151: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp30-{F}(V0) | relation-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #152: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #153: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp31-{F}(V0) | function-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #154: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp31-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #155: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp31-{F}(V0) | relation-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #156: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp32-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #157: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp32-{F}(V0) | transfinite_sequence-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #158: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp32-{F}(V0) | function-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #159: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp32-{F}(V0) | relation-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #160: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #161: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp33-{F}(V0) | function-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #162: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp33-{F}(V0) | relation_non_empty-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #163: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp33-{F}(V0) | relation-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #164: input, references = 3, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #165: input, references = 4, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V2,V3), P_powerset-{F}(V3,V4) | subset-{T}(V2,V4)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #166: input, references = 5, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), subset-{F}(V3,V2) | finite-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #167: input, references = 4, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #168: input, references = 4, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), finite-{F}(V2) | finite-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #169: input, references = 3, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), finite-{F}(V3) | finite-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #170: input, references = 4, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp34-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #171: input, references = 4, size of lhs = 4:
% 5.44/5.66 pppp34-{F}(V0), P_union-{F}(V0,V1), finite-{F}(V1), pppp0-{F}(V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #172: input, references = 4, size of lhs = 2:
% 5.44/5.66 pppp34-{F}(V0), P_union-{F}(V0,V1) | pppp0-{T}(V0), finite-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #173: input, references = 4, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2) | finite-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #174: input, references = 5, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), in-{F}(V3,V2) | finite-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #175: input, references = 10, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2) | pppp0-{T}(V2), pppp39-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #176: input, references = 9, size of lhs = 1:
% 5.44/5.66 pppp39-{F}(V0) | EXISTS V1: pppp35-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #177: input, references = 8, size of lhs = 2:
% 5.44/5.66 pppp35-{F}(V0,V1), finite-{F}(V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #178: input, references = 11, size of lhs = 1:
% 5.44/5.66 pppp35-{F}(V0,V1) | in-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #179: input, references = 5, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #180: input, references = 5, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #181: input, references = 5, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #182: input, references = 7, size of lhs = 5:
% 5.44/5.66 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)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #183: input, references = 5, size of lhs = 6:
% 5.44/5.66 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
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #184: input, references = 10, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #185: input, references = 4, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #186: input, references = 8, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #187: input, references = 6, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_union-{F}(V3,V4), in-{F}(V2,V3) | subset-{T}(V2,V4)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #188: input, references = 6, size of lhs = 1:
% 5.44/5.66 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #189: input, references = 4, size of lhs = 0:
% 5.44/5.66 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #190: input, references = 4, size of lhs = 0:
% 5.44/5.66 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #191: input, references = 5, size of lhs = 1:
% 5.44/5.66 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of initial rules = 192
% 5.44/5.66
% 5.44/5.66 Simplifiers:
% 5.44/5.66 #192: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #193: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #194: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #195: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #196: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #197: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #198: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #199: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #200: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #201: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #202: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #203: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #204: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #205: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #206: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #207: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #208: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #209: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #210: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #211: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #212: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #213: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #214: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #215: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #216: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #217: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #218: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #219: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #220: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #221: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #222: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #223: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #224: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #225: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #226: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #227: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp25-{F}(V0,V1), pppp25-{F}(V2,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #228: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #229: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #230: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp27-{F}(V0,V1), pppp27-{F}(V2,V1), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #231: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #232: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #233: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #234: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #235: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp32-{F}(V0), pppp32-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #236: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #237: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #238: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp35-{F}(V0,V1), pppp35-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of simplifiers = 47
% 5.44/5.66
% 5.44/5.66 Learnt:
% 5.44/5.66 #247: mergings( V0 == V3, V1 == V4; #243 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #250: mergings( V0 == V3, V1 == V4; #244 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #258: mergings( V0 == V3, V1 == V4; #254 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp13-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #261: mergings( V0 == V3, V1 == V4; #255 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp13-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #273: mergings( V0 == V3, V1 == V4; #269 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp26-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #276: mergings( V0 == V3, V1 == V4; #270 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp26-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #280: mergings( V0 == V4, V1 == V5; #277 ), references = 1, size of lhs = 6:
% 5.44/5.66 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)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #294: mergings( V0 == V3, V1 == V4; #290 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #297: mergings( V0 == V3, V1 == V4; #291 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #311: mergings( V0 == V3, V1 == V4; #307 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp20-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #314: mergings( V0 == V3, V1 == V4; #308 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp20-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #325: mergings( V0 == V4, V1 == V5; #320 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp37-{T}(V4)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #328: mergings( V0 == V4, V1 == V5; #321 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp37-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #332: mergings( V0 == V4, V1 == V5, V2 == V5; #322 ), references = 1, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp37-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #340: disj( #175, input ), references = 1, size of lhs = 6:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), pppp34-{F}(V2), P_union-{F}(V2,V3), finite-{F}(V3) | pppp39-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #346: mergings( V0 == V4, V1 == V5; #341 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V4,V3) | in-{T}(V2,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #349: mergings( V0 == V4, V1 == V5; #342 ), references = 6, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #353: mergings( V0 == V4, V1 == V5, V3 == V5; #343 ), references = 1, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #367: mergings( V0 == V4, V1 == V5; #362 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp38-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #371: mergings( V0 == V4, V1 == V5, V2 == V5; #363 ), references = 1, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp38-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #375: mergings( V0 == V4, V1 == V5, V2 == V5; #364 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp38-{T}(V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #394: mergings( V0 == V5, V1 == V6; #391 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp17-{T}(V3,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #403: mergings( V2 == V4, V3 == V5; #400 ), references = 3, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), subset-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #413: mergings( V0 == V3, V3 == V5, V4 == V6; #409 ), references = 5, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), subset-{F}(V3,V2), V3 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #428: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #422 ), references = 1, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_union-{F}(V3,V2), V3 == V1 | pppp1-{T}(V3,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #440: mergings( V0 == V5, V1 == V6; #437 ), references = 1, size of lhs = 3:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp23-{T}(V1,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #480: exists( #176, #474 ), references = 1, size of lhs = 4:
% 5.44/5.66 pppp39-{F}(V0), empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #482: mergings( V0 == V3; #478 ), references = 1, size of lhs = 5:
% 5.44/5.66 pppp39-{F}(V0), P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), subset-{F}(V0,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #483: exists( #176, #476 ), references = 1, size of lhs = 6:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #518: mergings( V2 == V4, V3 == V5; #515 ), references = 1, size of lhs = 5:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_union-{F}(V0,V3) | pppp35-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #525: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #520 ), references = 1, size of lhs = 6:
% 5.44/5.66 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V2), empty-{F}(V3), P_union-{F}(V0,V3) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #564: exists( #176, #562 ), references = 1, size of lhs = 5:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_powerset-{F}(V3,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #571: mergings( V0 == V3, V1 == V4; #568 ), references = 1, size of lhs = 5:
% 5.44/5.66 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_powerset-{F}(V3,V0) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #628: disj( #43, input ), references = 2, size of lhs = 7:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_union-{F}(V2,V3), pppp34-{F}(V4), P_union-{F}(V4,V3), pppp0-{F}(V4) | pppp36-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #660: exists( #44, #657 ), references = 1, size of lhs = 4:
% 5.44/5.66 pppp36-{F}(V0), pppp0-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #665: mergings( V2 == V4, V3 == V5; #662 ), references = 2, size of lhs = 5:
% 5.44/5.66 finite-{F}(V0), pppp34-{F}(V0), pppp0-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #671: mergings( V0 == V3, V1 == V4; #666 ), references = 1, size of lhs = 4:
% 5.44/5.66 finite-{F}(V0), empty-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #674: mergings( V0 == V3, V1 == V2; #667 ), references = 1, size of lhs = 5:
% 5.44/5.66 finite-{F}(V0), P_empty_set-{F}(V0), P_positive_rationals-{F}(V1), empty-{F}(V2), subset-{F}(V0,V2) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #700: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #691 ), references = 1, size of lhs = 7:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), V0 == V1, empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | pppp15-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #744: mergings( V2 == V4, V3 == V5; #741 ), references = 1, size of lhs = 5:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_union-{F}(V0,V3) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #756: mergings( V0 == V4, V1 == V5; #753 ), references = 1, size of lhs = 5:
% 5.44/5.66 finite-{F}(V0), pppp0-{F}(V0), P_union-{F}(V0,V1), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3) | finite-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #785: mergings( V0 == V3, V1 == V4; #782 ), references = 2, size of lhs = 5:
% 5.44/5.66 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_union-{F}(V0,V3) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #802: mergings( V0 == V3, V3 == V5, V4 == V6; #798 ), references = 1, size of lhs = 4:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3) | pppp1-{T}(V3,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #846: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #841 ), references = 1, size of lhs = 5:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), V2 == V1, subset-{F}(V3,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #868: mergings( V0 == V3, V1 == V4; #865 ), references = 1, size of lhs = 4:
% 5.44/5.66 finite-{F}(V0), pppp34-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | pppp39-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #899: exists( #176, #896 ), references = 1, size of lhs = 7:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V0,V5) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #923: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #918 ), references = 1, size of lhs = 7:
% 5.44/5.66 pppp39-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), pppp0-{F}(V3), V3 == V2, P_powerset-{F}(V3,V4), element-{F}(V0,V4) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #944: mergings( V0 == V3, V1 == V4; #939 ), references = 1, size of lhs = 7:
% 5.44/5.66 finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), pppp0-{F}(V3), V3 == V2, P_powerset-{F}(V3,V4), element-{F}(V0,V4) | pppp0-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1087: mergings( V2 == V4, V3 == V5; #1084 ), references = 2, size of lhs = 4:
% 5.44/5.66 pppp34-{F}(V0), P_union-{F}(V0,V1), P_positive_rationals-{F}(V2), P_empty_set-{F}(V3) | finite-{T}(V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1137: mergings( V2 == V4, V4 == V6, V6 == V9, V3 == V5, V5 == V7, V7 == V10, V0 == V11, V11 == V12; #1126 ), references = 2, size of lhs = 5:
% 5.44/5.66 pppp34-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), P_union-{F}(V0,V3), finite-{F}(V3) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1142: mergings( V2 == V4, V3 == V5; #1139 ), references = 1, size of lhs = 3:
% 5.44/5.66 pppp34-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1148: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #1143 ), references = 1, size of lhs = 2:
% 5.44/5.66 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1152: mergings( V1 == V2, V2 == V3; #1149 ), references = 1, size of lhs = 1:
% 5.44/5.66 P_positive_rationals-{F}(V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1154: exists( #189, #1149 ), references = 1, size of lhs = 0:
% 5.44/5.66 FALSE | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of learnt formulas = 54
% 5.44/5.66
% 5.44/5.66
% 5.44/5.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.66
% 5.44/5.66 randbase = 1
%------------------------------------------------------------------------------