%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU295+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 0.75s 0.92s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU295+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 19:47:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.75/0.92 GeoParameters:
% 0.75/0.92
% 0.75/0.92 tptp_input = 1
% 0.75/0.92 tptp_output = 0
% 0.75/0.92 nonempty = 1
% 0.75/0.92 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.92 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.75/0.92
% 0.75/0.92
% 0.75/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.92
% 0.75/0.92 RuleSystem INPUT:
% 0.75/0.92
% 0.75/0.92 Initial Rules:
% 0.75/0.92 #0: input, references = 3, size of lhs = 2:
% 0.75/0.92 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #1: input, references = 3, size of lhs = 2:
% 0.75/0.92 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #2: input, references = 3, size of lhs = 2:
% 0.75/0.92 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #3: input, references = 3, size of lhs = 2:
% 0.75/0.92 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #4: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | finite-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #5: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #6: input, references = 3, size of lhs = 1:
% 0.75/0.92 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #7: input, references = 3, size of lhs = 1:
% 0.75/0.92 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #8: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #9: input, references = 3, size of lhs = 2:
% 0.75/0.92 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #10: input, references = 3, size of lhs = 2:
% 0.75/0.92 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #11: input, references = 3, size of lhs = 2:
% 0.75/0.92 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #12: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #13: input, references = 3, size of lhs = 3:
% 0.75/0.92 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #14: input, references = 3, size of lhs = 2:
% 0.75/0.92 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #15: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #16: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #17: input, references = 3, size of lhs = 1:
% 0.75/0.92 empty-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #18: input, references = 4, size of lhs = 3:
% 0.75/0.92 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #19: input, references = 3, size of lhs = 1:
% 0.75/0.92 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #20: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #21: input, references = 3, size of lhs = 2:
% 0.75/0.92 finite-{F}(V0), P_set_intersection2-{F}(V1,V0,V2) | finite-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #22: input, references = 4, size of lhs = 2:
% 0.75/0.92 finite-{F}(V0), P_set_intersection2-{F}(V0,V1,V2) | finite-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #23: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #24: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #25: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #26: input, references = 3, size of lhs = 4:
% 0.75/0.92 P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #27: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #28: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #29: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #30: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #31: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #32: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #33: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #34: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #35: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #36: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #37: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp1-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #38: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #39: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #40: input, references = 4, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #41: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #42: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp3-{F}(V0) | pppp2-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #43: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp2-{F}(V0) | natural-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #44: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #45: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #46: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #47: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #48: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #49: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp4-{F}(V0) | finite-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #50: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #51: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #52: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp5-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #53: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp5-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #54: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #55: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp6-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #56: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp6-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #57: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp6-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #58: input, references = 4, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #59: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp7-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #60: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp7-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #61: input, references = 4, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp25-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #62: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp25-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #63: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #64: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #65: input, references = 4, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #66: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp9-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #67: input, references = 4, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V2,V3)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #68: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp11-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #69: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #70: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | natural-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #71: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #72: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #73: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #74: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | one_to_one-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #75: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #76: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #77: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #78: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #79: input, references = 4, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #80: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp12-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #81: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp12-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #82: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp12-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #83: input, references = 4, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #84: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp14-{F}(V0) | pppp13-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #85: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #86: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #87: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #88: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #89: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #90: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #91: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp13-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #92: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #93: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp15-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #94: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #95: input, references = 4, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp16-{T}(V3,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #96: input, references = 4, size of lhs = 1:
% 0.75/0.92 pppp16-{F}(V0,V1) | empty-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #97: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #98: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #99: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #100: input, references = 4, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp26-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #101: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp26-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #102: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp18-{F}(V0,V1) | finite-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #103: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp18-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #104: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp18-{F}(V0,V1) | element-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #105: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #106: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp19-{F}(V0) | one_to_one-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #107: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp19-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #108: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp19-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #109: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #110: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp20-{F}(V0) | ordinal-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #111: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp20-{F}(V0) | epsilon_connected-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #112: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp20-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #113: input, references = 3, size of lhs = 2:
% 0.75/0.92 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #114: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #115: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp21-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #116: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp21-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #117: input, references = 3, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #118: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp22-{F}(V0) | function-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #119: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp22-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #120: input, references = 3, size of lhs = 1:
% 0.75/0.92 pppp22-{F}(V0) | relation-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #121: input, references = 3, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #122: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), finite-{F}(V1), subset-{F}(V2,V1) | finite-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #123: input, references = 4, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | EXISTS V1: pppp24-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #124: input, references = 5, size of lhs = 1:
% 0.75/0.92 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #125: input, references = 4, size of lhs = 1:
% 0.75/0.92 pppp24-{F}(V0) | finite-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #126: input, references = 5, size of lhs = 3:
% 0.75/0.92 pppp23-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), finite-{F}(V2) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #127: input, references = 3, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | subset-{T}(V3,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #128: input, references = 3, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #129: input, references = 4, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #130: input, references = 5, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #131: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #132: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #133: input, references = 3, size of lhs = 4:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #134: input, references = 3, size of lhs = 5:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #135: input, references = 9, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #136: input, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #137: input, references = 8, size of lhs = 4:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #138: input, references = 3, size of lhs = 1:
% 0.75/0.92 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #139: input, references = 7, size of lhs = 2:
% 0.75/0.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #140: input, references = 4, size of lhs = 0:
% 0.75/0.92 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 number of initial rules = 141
% 0.75/0.92
% 0.75/0.92 Simplifiers:
% 0.75/0.92 #141: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #142: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #143: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #144: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #145: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #146: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #147: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #148: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #149: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #150: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #151: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #152: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #153: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #154: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #155: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #156: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #157: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #158: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #159: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #160: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #161: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #162: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #163: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #164: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #165: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #166: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #167: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #168: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V0 == V2 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #169: unsound, references = 3, size of lhs = 3:
% 0.75/0.92 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 number of simplifiers = 29
% 0.75/0.92
% 0.75/0.92 Learnt:
% 0.75/0.92 #171: exists( #139, #40 ), references = 1, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #178: mergings( V0 == V2; #175 ), references = 1, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #180: mergings( V0 == V2; #176 ), references = 1, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #187: mergings( V0 == V2; #184 ), references = 1, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #189: mergings( V0 == V2; #185 ), references = 1, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #197: mergings( V0 == V2; #194 ), references = 1, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #199: mergings( V0 == V2; #195 ), references = 1, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #209: mergings( V0 == V2; #206 ), references = 1, size of lhs = 1:
% 0.75/0.92 P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #211: mergings( V0 == V2; #207 ), references = 1, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1) | pppp14-{T}(V1)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #213: exists( #139, #129 ), references = 2, size of lhs = 2:
% 0.75/0.92 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #216: exists( #139, #18 ), references = 2, size of lhs = 1:
% 0.75/0.92 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #221: mergings( V0 == V3; #217 ), references = 1, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp25-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #224: mergings( V0 == V3, V1 == V3; #218 ), references = 1, size of lhs = 4:
% 0.75/0.92 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp25-{T}(V2)
% 0.75/0.92 (used 0 times, uses = {})
% 0.75/0.92
% 0.75/0.92 #226: mergings( V1 == V0; #219 ), references = 1, size of lhs = 3:
% 0.75/0.92 P_empty_set-{F}(V0), pppp2-{F}(V0), P_powerset-{F}(V0,V1) | pppp25-{T}(V1)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #229: mergings( V0 == V3; #227 ), references = 1, size of lhs = 5:
% 0.75/0.93 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #237: mergings( V0 == V3; #233 ), references = 1, size of lhs = 3:
% 0.75/0.93 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #239: mergings( V0 == V3; #234 ), references = 1, size of lhs = 3:
% 0.75/0.93 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #242: mergings( V0 == V3, V2 == V3; #235 ), references = 1, size of lhs = 4:
% 0.75/0.93 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #257: mergings( V0 == V4; #254 ), references = 1, size of lhs = 2:
% 0.75/0.93 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #259: mergings( V0 == V4; #255 ), references = 1, size of lhs = 3:
% 0.75/0.93 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp11-{T}(V3,V1)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #266: mergings( V0 == V3; #262 ), references = 1, size of lhs = 3:
% 0.75/0.93 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #269: mergings( V0 == V3, V1 == V3; #263 ), references = 1, size of lhs = 4:
% 0.75/0.93 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp26-{T}(V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #272: mergings( V0 == V3, V1 == V3; #264 ), references = 1, size of lhs = 3:
% 0.75/0.93 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp26-{T}(V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #283: mergings( V0 == V4; #281 ), references = 1, size of lhs = 2:
% 0.75/0.93 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp16-{T}(V0,V2)
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #294: exists( #124, #292 ), references = 1, size of lhs = 3:
% 0.75/0.93 pppp24-{F}(V0), P_empty_set-{F}(V0), finite-{F}(V0) | FALSE
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #304: exists( #139, #302 ), references = 1, size of lhs = 2:
% 0.75/0.93 finite-{F}(V0), pppp23-{F}(V0,V1) | FALSE
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #306: exists( #124, #303 ), references = 2, size of lhs = 2:
% 0.75/0.93 pppp24-{F}(V0), finite-{F}(V0) | FALSE
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #309: exists( #123, #307 ), references = 1, size of lhs = 1:
% 0.75/0.93 P_empty_set-{F}(V0) | FALSE
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 #311: exists( #140, #308 ), references = 1, size of lhs = 0:
% 0.75/0.93 FALSE | FALSE
% 0.75/0.93 (used 0 times, uses = {})
% 0.75/0.93
% 0.75/0.93 number of learnt formulas = 29
% 0.75/0.93
% 0.75/0.93
% 0.75/0.93 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.93
% 0.75/0.93 randbase = 1
%------------------------------------------------------------------------------