TSTP Solution File: SEU294+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:17:43 EDT 2022
% Result : Theorem 1.07s 1.25s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Jul 22 19:45:35 EDT 2022
% 0.14/0.33 % CPUTime :
% 1.07/1.25 GeoParameters:
% 1.07/1.25
% 1.07/1.25 tptp_input = 1
% 1.07/1.25 tptp_output = 0
% 1.07/1.25 nonempty = 1
% 1.07/1.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.07/1.25
% 1.07/1.25
% 1.07/1.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25
% 1.07/1.25 RuleSystem INPUT:
% 1.07/1.25
% 1.07/1.25 Initial Rules:
% 1.07/1.25 #0: input, references = 3, size of lhs = 2:
% 1.07/1.25 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #1: input, references = 3, size of lhs = 2:
% 1.07/1.25 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #2: input, references = 3, size of lhs = 2:
% 1.07/1.25 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #3: input, references = 3, size of lhs = 2:
% 1.07/1.25 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #4: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | finite-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #5: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #6: input, references = 3, size of lhs = 1:
% 1.07/1.25 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #7: input, references = 3, size of lhs = 1:
% 1.07/1.25 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #8: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #9: input, references = 3, size of lhs = 2:
% 1.07/1.25 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #10: input, references = 3, size of lhs = 2:
% 1.07/1.25 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #11: input, references = 3, size of lhs = 2:
% 1.07/1.25 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #12: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #13: input, references = 3, size of lhs = 3:
% 1.07/1.25 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #14: input, references = 3, size of lhs = 2:
% 1.07/1.25 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #15: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #16: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #17: input, references = 3, size of lhs = 1:
% 1.07/1.25 empty-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #18: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_transitive-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #19: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | epsilon_connected-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #20: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), element-{F}(V1,V0), ordinal-{F}(V1) | natural-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #21: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #22: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #23: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #24: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #25: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #26: input, references = 3, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #27: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #28: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #29: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #30: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #31: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #32: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #33: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #34: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #35: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #36: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp1-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #37: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #38: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #39: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #40: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #41: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp3-{F}(V0) | pppp2-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #42: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp2-{F}(V0) | natural-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #43: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #44: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #45: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #46: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #47: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #48: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp4-{F}(V0) | finite-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #49: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #50: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp5-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #51: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp5-{F}(V0) | function_yielding-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #52: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp5-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #53: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp5-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #54: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #55: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp6-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #56: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp6-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #57: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #58: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp7-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #59: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #60: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #61: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #62: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp8-{F}(V0) | being_limit_ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #63: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp8-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #64: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #65: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #66: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #67: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp9-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #68: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp9-{F}(V0) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #69: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp34-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #70: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #71: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #72: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #73: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp11-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #74: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp11-{F}(V0) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #75: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #76: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #77: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #78: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #79: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #80: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #81: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #82: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V3,V4)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #83: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #84: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #85: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #86: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #87: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #88: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #89: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #90: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #91: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #92: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #93: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #94: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #95: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp16-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #96: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp16-{F}(V0) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #97: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp16-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #98: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #99: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp18-{F}(V0) | pppp17-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #100: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #101: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #102: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #103: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #104: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #105: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #106: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp17-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #107: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp19-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #108: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp19-{F}(V0) | ordinal_yielding-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #109: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp19-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #110: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp19-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #111: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp19-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #112: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #113: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp20-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #114: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #115: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #116: input, references = 4, size of lhs = 1:
% 1.07/1.25 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #117: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #118: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #119: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #120: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V0,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #121: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp24-{F}(V0,V1) | pppp23-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #122: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | natural-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #123: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #124: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #125: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #126: input, references = 5, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #127: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #128: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp35-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #129: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp35-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #130: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp25-{F}(V0,V1) | finite-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #131: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp25-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #132: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp25-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #133: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp26-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #134: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp26-{F}(V0) | one_to_one-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #135: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp26-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #136: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp26-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #137: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp27-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #138: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp27-{F}(V0) | ordinal-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #139: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #140: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #141: input, references = 3, size of lhs = 2:
% 1.07/1.25 pppp27-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #142: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #143: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp28-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #144: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp28-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #145: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #146: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp29-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #147: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp29-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #148: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp29-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #149: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp30-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #150: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp30-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #151: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp30-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #152: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp30-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #153: input, references = 3, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp31-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #154: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp31-{F}(V0) | function-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #155: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp31-{F}(V0) | relation_non_empty-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #156: input, references = 3, size of lhs = 1:
% 1.07/1.25 pppp31-{F}(V0) | relation-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #157: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #158: input, references = 4, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp33-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #159: input, references = 4, size of lhs = 1:
% 1.07/1.25 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #160: input, references = 4, size of lhs = 1:
% 1.07/1.25 pppp33-{F}(V0) | finite-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #161: input, references = 4, size of lhs = 2:
% 1.07/1.25 pppp32-{F}(V0,V1), finite-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #162: input, references = 4, size of lhs = 1:
% 1.07/1.25 pppp32-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #163: input, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3) | element-{T}(V2,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #164: input, references = 4, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V3,V2) | empty-{T}(V2), in-{T}(V3,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #165: input, references = 3, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4) | subset-{T}(V2,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #166: input, references = 4, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), subset-{F}(V2,V3) | element-{T}(V2,V4)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #167: input, references = 3, size of lhs = 5:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V3,V4), element-{F}(V2,V4), in-{F}(V5,V2) | element-{T}(V5,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #168: input, references = 3, size of lhs = 6:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V2), element-{F}(V4,V3), in-{F}(V5,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #169: input, references = 10, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #170: input, references = 3, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V3,V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #171: input, references = 9, size of lhs = 5:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), empty-{F}(V3), V3 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #172: input, references = 4, size of lhs = 1:
% 1.07/1.25 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #173: input, references = 4, size of lhs = 0:
% 1.07/1.25 FALSE | EXISTS V0: P_positive_rationals-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #174: input, references = 4, size of lhs = 0:
% 1.07/1.25 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 number of initial rules = 175
% 1.07/1.25
% 1.07/1.25 Simplifiers:
% 1.07/1.25 #175: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 function_yielding-{F}(V0), function_yielding-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #176: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 being_limit_ordinal-{F}(V0), being_limit_ordinal-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #177: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 ordinal_yielding-{F}(V0), ordinal_yielding-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #178: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #179: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #180: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_positive_rationals-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #181: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #182: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #183: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #184: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #185: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #186: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #187: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #188: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #189: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #190: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #191: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #192: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #193: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #194: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #195: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #196: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #197: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #198: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #199: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #200: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #201: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #202: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #203: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #204: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #205: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #206: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #207: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #208: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #209: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #210: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #211: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #212: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #213: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #214: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #215: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #216: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #217: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #218: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #219: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V1 == V3 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #220: unsound, references = 3, size of lhs = 3:
% 1.07/1.25 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 number of simplifiers = 46
% 1.07/1.25
% 1.07/1.25 Learnt:
% 1.07/1.25 #229: mergings( V0 == V3, V1 == V4; #225 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp11-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #232: mergings( V0 == V3, V1 == V4; #226 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp11-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #241: mergings( V0 == V3, V1 == V4; #237 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp9-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #244: mergings( V0 == V3, V1 == V4; #238 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp9-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #256: mergings( V0 == V3, V1 == V4; #252 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #259: mergings( V0 == V3, V1 == V4; #253 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp18-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #267: mergings( V0 == V3, V1 == V4; #263 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp16-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #270: mergings( V0 == V3, V1 == V4; #264 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp16-{T}(V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #281: mergings( V0 == V3, V1 == V4; #277 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #284: mergings( V0 == V3, V1 == V4; #278 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp24-{T}(V0,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #292: mergings( V0 == V3, V1 == V4; #287 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2) | in-{T}(V1,V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #295: mergings( V0 == V4, V1 == V5; #288 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1 | in-{T}(V2,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #299: mergings( V0 == V4, V1 == V5, V3 == V5; #289 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, element-{F}(V3,V1) | in-{T}(V3,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #313: mergings( V0 == V4, V1 == V5; #308 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp34-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #317: mergings( V0 == V4, V1 == V5, V2 == V5; #309 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #321: mergings( V0 == V4, V1 == V5, V2 == V5; #310 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp34-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #334: mergings( V0 == V4, V1 == V5; #329 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), V2 == V1 | pppp35-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #338: mergings( V0 == V4, V1 == V5, V2 == V5; #330 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #342: mergings( V0 == V4, V1 == V5, V2 == V5; #331 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp35-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #365: mergings( V0 == V5, V1 == V6; #361 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #368: mergings( V0 == V5, V1 == V6; #362 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V3,V4) | pppp15-{T}(V4,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #390: mergings( V0 == V5, V1 == V6; #387 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | pppp21-{T}(V1,V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #422: exists( #159, #420 ), references = 1, size of lhs = 6:
% 1.07/1.25 pppp33-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2), finite-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #424: exists( #172, #421 ), references = 1, size of lhs = 4:
% 1.07/1.25 pppp33-{F}(V0), finite-{F}(V0), P_positive_rationals-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #429: mergings( V0 == V3, V1 == V4; #426 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_positive_rationals-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #432: mergings( V1 == V2; #430 ), references = 1, size of lhs = 1:
% 1.07/1.25 P_positive_rationals-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #434: exists( #173, #430 ), references = 1, size of lhs = 0:
% 1.07/1.25 FALSE | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 number of learnt formulas = 27
% 1.07/1.25
% 1.07/1.25
% 1.07/1.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25
% 1.07/1.25 randbase = 1
%------------------------------------------------------------------------------