TSTP Solution File: SEU297+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:44 EDT 2022
% Result : Theorem 3.73s 3.88s
% Output : Refutation 3.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU297+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 : n026.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 18:47:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.73/3.88 GeoParameters:
% 3.73/3.88
% 3.73/3.88 tptp_input = 1
% 3.73/3.88 tptp_output = 0
% 3.73/3.88 nonempty = 1
% 3.73/3.88 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/3.88 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.73/3.88
% 3.73/3.88
% 3.73/3.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/3.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/3.88
% 3.73/3.88 RuleSystem INPUT:
% 3.73/3.88
% 3.73/3.88 Initial Rules:
% 3.73/3.88 #0: input, references = 4, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp5-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #1: input, references = 4, size of lhs = 1:
% 3.73/3.88 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #2: input, references = 4, size of lhs = 1:
% 3.73/3.88 pppp5-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #3: input, references = 4, size of lhs = 1:
% 3.73/3.88 pppp5-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #4: input, references = 4, size of lhs = 1:
% 3.73/3.88 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #5: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp4-{F}(V0,V1), #-{F} V2 | EXISTS V3: pppp2-{T}(V0,V1,V3,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #6: input, references = 4, size of lhs = 3:
% 3.73/3.88 pppp3-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | element-{T}(V0,V3)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #7: input, references = 10, size of lhs = 3:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2), in-{F}(V2,V3) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #8: input, references = 13, size of lhs = 1:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V2,V3), pppp0-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #9: input, references = 6, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V1,V3), P_powerset-{F}(V3,V4), P_relation_image-{F}(V1,V2,V5), pppp0-{F}(V0,V1,V2) | in-{T}(V2,V4)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #10: input, references = 7, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V1,V3), P_powerset-{F}(V3,V4), P_relation_image-{F}(V1,V2,V5), pppp0-{F}(V0,V1,V2) | in-{T}(V5,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #11: input, references = 5, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V1,V3), P_powerset-{F}(V3,V4), P_relation_image-{F}(V1,V2,V5), in-{F}(V2,V4), in-{F}(V5,V0) | pppp0-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #12: input, references = 3, size of lhs = 1:
% 3.73/3.88 P_powerset-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #13: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #14: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #15: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #16: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #17: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #18: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #19: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #20: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #21: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #22: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #23: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #24: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp9-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #25: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp9-{F}(V0) | pppp8-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #26: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp8-{F}(V0) | natural-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #27: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp8-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #28: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #29: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #30: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #31: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp10-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #32: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp10-{F}(V0) | finite-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #33: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #34: input, references = 6, size of lhs = 1:
% 3.73/3.88 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #35: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp30-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #36: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #37: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #38: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #39: input, references = 3, size of lhs = 3:
% 3.73/3.88 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #40: input, references = 3, size of lhs = 4:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), P_relation_image-{F}(V0,V1,V2), finite-{F}(V1) | finite-{T}(V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #41: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp12-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #42: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #43: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp12-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #44: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp12-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #45: input, references = 3, size of lhs = 2:
% 3.73/3.88 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #46: input, references = 3, size of lhs = 2:
% 3.73/3.88 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #47: input, references = 3, size of lhs = 2:
% 3.73/3.88 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #48: input, references = 3, size of lhs = 2:
% 3.73/3.88 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #49: input, references = 3, size of lhs = 2:
% 3.73/3.88 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #50: input, references = 3, size of lhs = 2:
% 3.73/3.88 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #51: input, references = 3, size of lhs = 1:
% 3.73/3.88 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #52: input, references = 3, size of lhs = 1:
% 3.73/3.88 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #53: input, references = 3, size of lhs = 2:
% 3.73/3.88 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #54: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp13-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #55: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp13-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #56: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #57: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #58: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp15-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #59: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp15-{F}(V0) | pppp14-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #60: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #61: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #62: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #63: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #64: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | one_to_one-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #65: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #66: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp14-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #67: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp16-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #68: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp16-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #69: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp16-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #70: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp16-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #71: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #72: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | finite-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #73: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #74: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp17-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #75: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp17-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #76: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp17-{F}(V0) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #77: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp17-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #78: input, references = 3, size of lhs = 3:
% 3.73/3.88 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #79: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp18-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #80: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp18-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #81: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp18-{F}(V0) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #82: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #83: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp19-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #84: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp19-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #85: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp19-{F}(V0), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #86: input, references = 3, size of lhs = 3:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), relation-{F}(V0), empty-{F}(V1) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #87: input, references = 4, size of lhs = 2:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), empty-{F}(V0) | empty-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #88: input, references = 3, size of lhs = 2:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), empty-{F}(V0) | relation-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #89: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #90: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #91: input, references = 3, size of lhs = 1:
% 3.73/3.88 empty-{F}(V0) | ordinal-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #92: input, references = 5, size of lhs = 1:
% 3.73/3.88 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #93: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp31-{F}(V0) | EXISTS V1: pppp20-{T}(V1,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #94: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp20-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #95: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp20-{F}(V0,V1) | element-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #96: input, references = 3, size of lhs = 1:
% 3.73/3.88 P_powerset-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V2,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #97: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp21-{F}(V0,V1) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #98: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp21-{F}(V0,V1) | element-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #99: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp22-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #100: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp22-{F}(V0) | empty-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #101: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp23-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #102: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp23-{F}(V0), empty-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #103: input, references = 11, size of lhs = 2:
% 3.73/3.88 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #104: input, references = 3, size of lhs = 0:
% 3.73/3.88 FALSE | EXISTS V0: pppp24-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #105: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp24-{F}(V0) | function-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #106: input, references = 3, size of lhs = 1:
% 3.73/3.88 pppp24-{F}(V0) | relation-{T}(V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #107: input, references = 4, size of lhs = 2:
% 3.73/3.88 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #108: input, references = 4, size of lhs = 5:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4) | pppp32-{T}(V1,V0), pppp33-{T}(V1,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #109: input, references = 5, size of lhs = 1:
% 3.73/3.88 pppp32-{F}(V0,V1) | EXISTS V2: pppp27-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #110: input, references = 4, size of lhs = 1:
% 3.73/3.88 pppp33-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #111: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp28-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #112: input, references = 8, size of lhs = 2:
% 3.73/3.88 pppp28-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #113: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp27-{F}(V0,V1,V2), P_relation_image-{F}(V1,V2,V3) | EXISTS V4: pppp26-{T}(V0,V1,V4,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #114: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp27-{F}(V0,V1,V2), P_relation_image-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #115: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp26-{F}(V0,V1,V2,V3), P_relation_image-{F}(V1,V2,V4) | EXISTS V5: pppp25-{T}(V2,V5,V3)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #116: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp26-{F}(V0,V1,V3,V3), P_relation_image-{F}(V1,V3,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #117: input, references = 3, size of lhs = 2:
% 3.73/3.88 pppp26-{F}(V0,V1,V2,V3), P_relation_image-{F}(V1,V2,V4) | in-{T}(V4,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #118: input, references = 5, size of lhs = 2:
% 3.73/3.88 pppp25-{F}(V0,V1,V2), V1 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #119: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp25-{F}(V0,V1,V2), V1 == V0 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #120: input, references = 9, size of lhs = 4:
% 3.73/3.88 P_relation_image-{F}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_powerset-{F}(V4,V5), pppp1-{F}(V0,V1,V2) | in-{T}(V3,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #121: input, references = 4, size of lhs = 4:
% 3.73/3.88 P_relation_image-{F}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_powerset-{F}(V4,V5), pppp1-{F}(V0,V1,V2) | EXISTS V6: pppp29-{T}(V2,V6,V5)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #122: input, references = 4, size of lhs = 5:
% 3.73/3.88 P_relation_image-{F}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V0), in-{F}(V2,V5) | pppp1-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #123: input, references = 4, size of lhs = 2:
% 3.73/3.88 pppp29-{F}(V0,V1,V2), V1 == V0 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #124: input, references = 8, size of lhs = 1:
% 3.73/3.88 pppp29-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #125: input, references = 8, size of lhs = 1:
% 3.73/3.88 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #126: input, references = 4, size of lhs = 1:
% 3.73/3.88 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #127: input, references = 10, size of lhs = 2:
% 3.73/3.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_image-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 number of initial rules = 128
% 3.73/3.88
% 3.73/3.88 Simplifiers:
% 3.73/3.88 #128: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #129: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #130: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 P_relation_image-{F}(V0,V1,V2), P_relation_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #131: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #132: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #133: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #134: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #135: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #136: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #137: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #138: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #139: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #140: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #141: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #142: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #143: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #144: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #145: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #146: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #147: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #148: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #149: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #150: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #151: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #152: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #153: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #154: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #155: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #156: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #157: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #158: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #159: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #160: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #161: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp28-{F}(V0,V1,V2), pppp28-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #162: unsound, references = 3, size of lhs = 3:
% 3.73/3.88 pppp29-{F}(V0,V1,V2), pppp29-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 number of simplifiers = 35
% 3.73/3.88
% 3.73/3.88 Learnt:
% 3.73/3.88 #183: disj( #92, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp10-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #184: disj( #92, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp16-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #209: exists( #121, #123 ), references = 6, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V0,V4), P_relation_image-{F}(V0,V4,V5) | pppp29-{T}(V4,V4,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #211: disj( #8, input ), references = 2, size of lhs = 3:
% 3.73/3.88 in-{F}(V0,V1), pppp2-{F}(V2,V3,V0,V1), pppp2-{F}(V2,V3,V0,V4) | in-{T}(V0,V4)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #213: disj( #8, input ), references = 3, size of lhs = 2:
% 3.73/3.88 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1,V0) | pppp0-{T}(V2,V3,V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #216: disj( #8, #9+#103 ), references = 1, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V2,V3), pppp2-{F}(V4,V0,V2,V5) | in-{T}(V2,V5)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #237: exists( #115, #118 ), references = 1, size of lhs = 2:
% 3.73/3.88 P_relation_image-{F}(V0,V1,V2), pppp26-{F}(V3,V0,V1,V4) | pppp25-{T}(V1,V4,V4)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #238: exists( #115, #119 ), references = 2, size of lhs = 2:
% 3.73/3.88 P_relation_image-{F}(V0,V1,V2), pppp26-{F}(V3,V0,V1,V4) | pppp25-{T}(V1,V1,V4)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #250: exists( #127, #246 ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp26-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #253: exists( #113, #248 ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp27-{F}(V0,V1,V2), P_relation_image-{F}(V1,V2,V3) | pppp26-{T}(V0,V1,V2,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #256: exists( #127, #254 ), references = 1, size of lhs = 1:
% 3.73/3.88 pppp27-{F}(V0,V1,V2) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #259: exists( #109, #257 ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #261: disj( #108, exists( #109, #257 ) ), references = 2, size of lhs = 5:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3) | pppp33-{T}(V4,V0)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #275: disj( #8, #9+#7 ), references = 2, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V3,V4), pppp2-{F}(V5,V0,V3,V2), pppp2-{F}(V5,V0,V3,V6) | in-{T}(V3,V6)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #276: disj( #8, #10+#103 ), references = 1, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V3,V4), in-{F}(V5,V4), pppp2-{F}(V5,V0,V3,V6) | in-{T}(V3,V6)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #280: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp8-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #281: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp19-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #282: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp23-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #289: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp10-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #290: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp16-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #291: disj( #34, input ), references = 1, size of lhs = 2:
% 3.73/3.88 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp30-{T}(V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #315: disj( #92, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp8-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #316: disj( #92, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp19-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #317: disj( #92, input ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp23-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #341: mergings( V5 == V1, V4 == V0; #338 ), references = 1, size of lhs = 2:
% 3.73/3.88 pppp2-{F}(V0,V1,V2,V2), pppp2-{F}(V0,V1,V2,V3) | pppp0-{T}(V0,V1,V2)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #402: disj( #8, #112+#209+#124+#103 ), references = 4, size of lhs = 6:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), P_relation_image-{F}(V0,V3,V4), pppp28-{F}(V5,V0,V6), pppp2-{F}(V7,V8,V3,V6) | pppp0-{T}(V7,V8,V3)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #419: disj( #34, #87+#107 ), references = 1, size of lhs = 3:
% 3.73/3.88 P_powerset-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_powerset-{F}(V3,V2) | pppp30-{T}(V1)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #443: mergings( V3 == V5, V5 == V7, V4 == V8; #439 ), references = 4, size of lhs = 7:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp0-{F}(V3,V0,V4), pppp0-{F}(V5,V0,V4), pppp28-{F}(V5,V0,V6), pppp2-{F}(V7,V8,V4,V6), pppp0-{F}(V7,V8,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #453: mergings( V4 == V1, V7 == V0; #449 ), references = 1, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V3,V4), pppp2-{F}(V4,V0,V3,V5), pppp2-{F}(V4,V0,V5,V3) | pppp0-{T}(V4,V0,V5)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #458: mergings( V10 == V4, V9 == V8, V4 == V1, V8 == V0; #450 ), references = 1, size of lhs = 7:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V3,V4), pppp2-{F}(V5,V0,V4,V5), pppp0-{F}(V5,V0,V4), pppp2-{F}(V5,V0,V3,V6), pppp2-{F}(V5,V0,V6,V3) | pppp0-{T}(V5,V0,V6)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #482: mergings( V3 == V6, V4 == V7, V6 == V8; #477 ), references = 1, size of lhs = 6:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V0,V4), pppp1-{F}(V5,V0,V4), pppp2-{F}(V3,V0,V4,V6), in-{F}(V4,V6) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #488: mergings( V3 == V6, V4 == V7, V6 == V8, V8 == V9, V7 == V10; #478 ), references = 1, size of lhs = 6:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V0,V4), pppp28-{F}(V3,V0,V5), pppp2-{F}(V3,V0,V4,V5), pppp1-{F}(V6,V0,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #498: mergings( V6 == V8, V7 == V9, V8 == V10, V5 == V1, V4 == V0; #491 ), references = 1, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp28-{F}(V3,V0,V4), pppp2-{F}(V3,V0,V5,V4) | pppp0-{T}(V3,V0,V5)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #513: mergings( V4 == V6, V5 == V7, V6 == V8, V8 == V9, V7 == V10; #507 ), references = 1, size of lhs = 4:
% 3.73/3.88 pppp4-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp28-{F}(V0,V1,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #520: mergings( V3 == V5, V4 == V6, V5 == V7, V7 == V8, V6 == V9; #514 ), references = 2, size of lhs = 4:
% 3.73/3.88 pppp33-{F}(V0,V1), pppp4-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V2,V3) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #569: mergings( V0 == V8, V5 == V7; #566 ), references = 2, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp0-{F}(V3,V0,V4), pppp2-{F}(V3,V0,V4,V2), pppp2-{F}(V3,V0,V4,V5) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #573: mergings( V4 == V1, V7 == V0; #570 ), references = 1, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V0,V4,V2), pppp2-{F}(V3,V0,V4,V5), pppp2-{F}(V3,V0,V4,V6) | in-{T}(V4,V6)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #583: disj( #8, #112+#120+#103 ), references = 2, size of lhs = 5:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), P_relation_image-{F}(V0,V3,V4), pppp28-{F}(V4,V0,V5), pppp2-{F}(V6,V7,V3,V5) | pppp0-{T}(V6,V7,V3)
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #616: exists( #125, #614 ), references = 3, size of lhs = 4:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), pppp1-{F}(V2,V0,V3), P_relation_image-{F}(V0,V3,V4), in-{F}(V2,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #662: exists( #125, #656 ), references = 1, size of lhs = 3:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_relation_image-{F}(V0,V2,V3), pppp1-{F}(V3,V0,V2) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #663: exists( #125, #658 ), references = 1, size of lhs = 6:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_relation_image-{F}(V0,V2,V3), pppp28-{F}(V3,V0,V4), in-{F}(V2,V5), pppp2-{F}(V6,V7,V2,V4), pppp2-{F}(V6,V7,V2,V5) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #664: exists( #125, #657 ), references = 2, size of lhs = 6:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V2,V3), P_relation_image-{F}(V0,V4,V5), pppp1-{F}(V5,V2,V6), P_relation_image-{F}(V2,V6,V7), pppp1-{F}(V7,V0,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #700: exists( #127, #696 ), references = 1, size of lhs = 7:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V0,V4), P_relation_dom-{F}(V5,V6), pppp28-{F}(V7,V5,V2), in-{F}(V7,V8), P_relation_image-{F}(V5,V4,V8) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #701: exists( #127, #697 ), references = 1, size of lhs = 9:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V0,V4), P_relation_dom-{F}(V5,V6), P_relation_image-{F}(V5,V4,V7), pppp28-{F}(V8,V5,V2), P_relation_dom-{F}(V9,V10), pppp1-{F}(V7,V9,V11), P_relation_image-{F}(V9,V11,V8) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #781: exists( #127, #775 ), references = 1, size of lhs = 7:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), pppp28-{F}(V5,V0,V6), pppp2-{F}(V7,V8,V3,V6), pppp2-{F}(V7,V8,V3,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #782: exists( #127, #776 ), references = 1, size of lhs = 9:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), pppp28-{F}(V4,V0,V5), pppp2-{F}(V6,V7,V3,V5), P_relation_dom-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp2-{F}(V6,V7,V3,V9), pppp2-{F}(V6,V7,V3,V10) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #783: exists( #127, #777 ), references = 1, size of lhs = 10:
% 3.73/3.88 P_relation_dom-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), pppp28-{F}(V4,V0,V5), pppp2-{F}(V6,V7,V3,V5), P_relation_dom-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp0-{F}(V10,V7,V3), pppp28-{F}(V10,V7,V11), pppp2-{F}(V6,V7,V3,V11) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #812: exists( #125, #810 ), references = 1, size of lhs = 8:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), pppp4-{F}(V1,V0), pppp3-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V3) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #814: exists( #125, #811 ), references = 1, size of lhs = 6:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), pppp4-{F}(V1,V0), pppp3-{F}(V1,V2), P_relation_dom-{F}(V0,V3), P_powerset-{F}(V3,V4) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #817: mergings( V3 == V1; #815 ), references = 2, size of lhs = 5:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), pppp4-{F}(V1,V0), P_relation_dom-{F}(V0,V2), P_powerset-{F}(V2,V3) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #841: exists( #125, #817 ), references = 1, size of lhs = 4:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), pppp4-{F}(V1,V0), P_relation_dom-{F}(V0,V2) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #843: exists( #126, #838 ), references = 1, size of lhs = 3:
% 3.73/3.88 relation-{F}(V0), function-{F}(V0), pppp4-{F}(V1,V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #845: exists( #1, #842 ), references = 1, size of lhs = 3:
% 3.73/3.88 pppp5-{F}(V0), relation-{F}(V0), function-{F}(V0) | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 #849: exists( #0, #847 ), references = 1, size of lhs = 0:
% 3.73/3.88 FALSE | FALSE
% 3.73/3.88 (used 0 times, uses = {})
% 3.73/3.88
% 3.73/3.88 number of learnt formulas = 54
% 3.73/3.88
% 3.73/3.88
% 3.73/3.88 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/3.88
% 3.73/3.88 randbase = 1
%------------------------------------------------------------------------------