TSTP Solution File: SEU294+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 19:17:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.66 GeoParameters:
% 0.47/0.66
% 0.47/0.66 tptp_input = 1
% 0.47/0.66 tptp_output = 0
% 0.47/0.66 nonempty = 1
% 0.47/0.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.66
% 0.47/0.66
% 0.47/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66
% 0.47/0.66 RuleSystem INPUT:
% 0.47/0.66
% 0.47/0.66 Initial Rules:
% 0.47/0.66 #0: input, references = 3, size of lhs = 2:
% 0.47/0.66 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #1: input, references = 3, size of lhs = 2:
% 0.47/0.66 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #2: input, references = 3, size of lhs = 2:
% 0.47/0.66 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #3: input, references = 3, size of lhs = 2:
% 0.47/0.66 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #4: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | finite-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #5: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #6: input, references = 3, size of lhs = 1:
% 0.47/0.66 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #7: input, references = 3, size of lhs = 1:
% 0.47/0.66 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #8: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #9: input, references = 3, size of lhs = 2:
% 0.47/0.66 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #10: input, references = 3, size of lhs = 2:
% 0.47/0.66 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #11: input, references = 3, size of lhs = 2:
% 0.47/0.66 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #12: input, references = 4, size of lhs = 3:
% 0.47/0.66 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #13: input, references = 3, size of lhs = 3:
% 0.47/0.66 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #14: input, references = 3, size of lhs = 2:
% 0.47/0.66 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #15: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #16: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #17: input, references = 3, size of lhs = 1:
% 0.47/0.66 empty-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #18: input, references = 3, size of lhs = 1:
% 0.47/0.66 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #19: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #20: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #21: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #22: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #23: input, references = 3, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #24: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #25: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #26: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #27: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #28: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #29: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #30: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #31: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #32: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #33: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp1-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #34: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #35: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #36: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #37: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp3-{F}(V0) | pppp2-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #38: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp2-{F}(V0) | natural-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #39: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #40: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #41: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #42: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #43: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #44: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp4-{F}(V0) | finite-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #45: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #46: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #47: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp5-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #48: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp5-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #49: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #50: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp6-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #51: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp6-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #52: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp6-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #53: input, references = 4, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #54: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp7-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #55: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp7-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #56: input, references = 4, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp25-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #57: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp25-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #58: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #59: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #60: input, references = 4, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #61: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp9-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #62: input, references = 4, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V2,V3)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #63: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp11-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #64: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #65: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | natural-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #66: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #67: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #68: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #69: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | one_to_one-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #70: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #71: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #72: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #73: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #74: input, references = 4, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #75: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp12-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #76: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp12-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #77: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp12-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #78: input, references = 4, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #79: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp14-{F}(V0) | pppp13-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #80: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #81: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #82: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #83: input, references = 5, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #84: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #85: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #86: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp13-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #87: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #88: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp15-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #89: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #90: input, references = 3, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp16-{T}(V3,V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #91: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp16-{F}(V0,V1) | empty-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #92: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #93: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #94: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #95: input, references = 4, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp26-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #96: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp26-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #97: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp18-{F}(V0,V1) | finite-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #98: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp18-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #99: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp18-{F}(V0,V1) | element-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #100: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #101: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp19-{F}(V0) | one_to_one-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #102: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp19-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #103: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp19-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #104: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #105: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp20-{F}(V0) | ordinal-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #106: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp20-{F}(V0) | epsilon_connected-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #107: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp20-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #108: input, references = 3, size of lhs = 2:
% 0.47/0.66 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #109: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #110: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp21-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #111: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp21-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #112: input, references = 3, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #113: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp22-{F}(V0) | function-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #114: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp22-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #115: input, references = 3, size of lhs = 1:
% 0.47/0.66 pppp22-{F}(V0) | relation-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #116: input, references = 3, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #117: input, references = 4, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp24-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #118: input, references = 4, size of lhs = 1:
% 0.47/0.66 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #119: input, references = 4, size of lhs = 1:
% 0.47/0.66 pppp24-{F}(V0) | finite-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #120: input, references = 4, size of lhs = 2:
% 0.47/0.66 pppp23-{F}(V0,V1), finite-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #121: input, references = 4, size of lhs = 1:
% 0.47/0.66 pppp23-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #122: input, references = 3, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #123: input, references = 4, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #124: input, references = 3, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #125: input, references = 4, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #126: input, references = 3, size of lhs = 4:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #127: input, references = 3, size of lhs = 5:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #128: input, references = 8, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #129: input, references = 3, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #130: input, references = 8, size of lhs = 4:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #131: input, references = 4, size of lhs = 1:
% 0.47/0.66 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #132: input, references = 4, size of lhs = 0:
% 0.47/0.66 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 number of initial rules = 133
% 0.47/0.66
% 0.47/0.66 Simplifiers:
% 0.47/0.66 #133: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #134: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #135: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #136: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #137: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #138: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #139: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #140: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #141: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #142: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #143: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #144: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #145: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #146: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #147: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #148: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #149: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #150: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #151: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #152: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #153: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #154: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #155: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #156: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #157: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #158: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #159: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #160: unsound, references = 3, size of lhs = 3:
% 0.47/0.66 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 number of simplifiers = 28
% 0.47/0.66
% 0.47/0.66 Learnt:
% 0.47/0.66 #168: mergings( V0 == V2; #165 ), references = 1, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #170: mergings( V0 == V2; #166 ), references = 1, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #177: mergings( V0 == V2; #174 ), references = 1, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #179: mergings( V0 == V2; #175 ), references = 1, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #190: mergings( V0 == V2; #187 ), references = 1, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #192: mergings( V0 == V2; #188 ), references = 1, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1) | pppp14-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #200: mergings( V0 == V2; #197 ), references = 1, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #202: mergings( V0 == V2; #198 ), references = 1, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #207: mergings( V0 == V3; #203 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #210: mergings( V0 == V3, V2 == V3; #204 ), references = 1, size of lhs = 4:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #213: mergings( V0 == V3, V2 == V3; #205 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #220: mergings( V0 == V3; #216 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp25-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #223: mergings( V0 == V3, V1 == V3; #217 ), references = 1, size of lhs = 4:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp25-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #226: mergings( V0 == V3, V1 == V3; #218 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp25-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #235: mergings( V0 == V3; #231 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #238: mergings( V0 == V3, V1 == V3; #232 ), references = 1, size of lhs = 4:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp26-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #241: mergings( V0 == V3, V1 == V3; #233 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp26-{T}(V2)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #264: mergings( V0 == V4; #261 ), references = 1, size of lhs = 2:
% 0.47/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #266: mergings( V0 == V4; #262 ), references = 1, size of lhs = 3:
% 0.47/0.66 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp11-{T}(V3,V1)
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #275: exists( #118, #272 ), references = 2, size of lhs = 5:
% 0.47/0.66 pppp24-{F}(V0), P_empty_set-{F}(V1), finite-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V0,V3) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #278: exists( #131, #275 ), references = 2, size of lhs = 3:
% 0.47/0.66 pppp24-{F}(V0), finite-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #282: mergings( V0 == V2; #280 ), references = 1, size of lhs = 1:
% 0.47/0.66 P_empty_set-{F}(V0) | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 #284: exists( #132, #280 ), references = 1, size of lhs = 0:
% 0.47/0.66 FALSE | FALSE
% 0.47/0.66 (used 0 times, uses = {})
% 0.47/0.66
% 0.47/0.66 number of learnt formulas = 23
% 0.47/0.66
% 0.47/0.66
% 0.47/0.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66
% 0.47/0.66 randbase = 1
%------------------------------------------------------------------------------