TSTP Solution File: SEU117+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:17:13 EDT 2022
% Result : Theorem 1.05s 1.28s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 18:06:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.05/1.28 GeoParameters:
% 1.05/1.28
% 1.05/1.28 tptp_input = 1
% 1.05/1.28 tptp_output = 0
% 1.05/1.28 nonempty = 1
% 1.05/1.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.05/1.28
% 1.05/1.28
% 1.05/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.28
% 1.05/1.28 RuleSystem INPUT:
% 1.05/1.28
% 1.05/1.28 Initial Rules:
% 1.05/1.28 #0: input, references = 4, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #1: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), cup_closed-{F}(V1), diff_closed-{F}(V1) | preboolean-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #2: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1) | finite-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #3: input, references = 7, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #4: input, references = 4, size of lhs = 5:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #5: input, references = 7, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #6: input, references = 6, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #7: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #8: input, references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #9: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #10: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #11: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #12: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #13: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | cup_closed-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #14: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | diff_closed-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #15: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | preboolean-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #16: input, references = 5, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #17: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #18: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #19: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #20: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), preboolean-{F}(V1) | cup_closed-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #21: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), preboolean-{F}(V1) | diff_closed-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #22: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V2,V3), element-{F}(V1,V3) | finite-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #23: input, references = 3, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #24: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp4-{F}(V0) | pppp3-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #25: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp3-{F}(V0) | preboolean-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #26: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp3-{F}(V0) | diff_closed-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #27: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp3-{F}(V0) | cap_closed-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #28: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp3-{F}(V0) | cup_closed-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #29: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #30: input, references = 3, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), finite-{F}(V1), element-{F}(V3,V2) | finite-{T}(V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #31: input, references = 3, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #32: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp5-{F}(V0) | finite-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #33: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #34: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V2,V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #35: input, references = 5, size of lhs = 1:
% 1.05/1.28 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #36: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #37: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #38: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #39: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #40: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #41: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #42: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | function-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #43: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #44: input, references = 5, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #45: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #46: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #47: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp17-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #48: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp8-{F}(V0,V1) | finite-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #49: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #50: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #51: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #52: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp18-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #53: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp9-{F}(V0,V1) | finite-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #54: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #55: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #56: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #57: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp19-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #58: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp19-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #59: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #60: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #61: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V3,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #62: input, references = 4, size of lhs = 1:
% 1.05/1.28 pppp11-{F}(V0,V1) | empty-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #63: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #64: input, references = 4, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #65: input, references = 5, size of lhs = 1:
% 1.05/1.28 pppp12-{F}(V0) | empty-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #66: input, references = 3, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #67: input, references = 3, size of lhs = 2:
% 1.05/1.28 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #68: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #69: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #70: input, references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #71: input, references = 3, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #72: input, references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #73: input, references = 4, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #74: input, references = 5, size of lhs = 1:
% 1.05/1.28 pppp15-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #75: input, references = 5, size of lhs = 4:
% 1.05/1.28 pppp14-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_powerset-{F}(V0,V3), element-{F}(V1,V3) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #76: input, references = 5, size of lhs = 3:
% 1.05/1.28 pppp14-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_powerset-{F}(V0,V3) | element-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #77: input, references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), preboolean-{F}(V3), P_finite_subsets-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #78: input, references = 3, size of lhs = 5:
% 1.05/1.28 P_empty_set-{F}(V0), preboolean-{F}(V1), P_finite_subsets-{F}(V2,V3), pppp1-{F}(V2,V1), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #79: input, references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V2) | pppp0-{T}(V1,V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #80: input, references = 6, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V1,V3) | in-{T}(V3,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #81: input, references = 5, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp20-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #82: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp20-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #83: input, references = 3, size of lhs = 3:
% 1.05/1.28 pppp16-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #84: input, references = 3, size of lhs = 1:
% 1.05/1.28 pppp16-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #85: input, references = 4, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | subset-{T}(V2,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #86: input, references = 3, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | finite-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #87: input, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), subset-{F}(V2,V1), finite-{F}(V2) | pppp0-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #88: input, references = 4, size of lhs = 0:
% 1.05/1.28 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #89: input, references = 4, size of lhs = 1:
% 1.05/1.28 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #90: input, references = 4, size of lhs = 1:
% 1.05/1.28 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 number of initial rules = 91
% 1.05/1.28
% 1.05/1.28 Simplifiers:
% 1.05/1.28 #91: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #92: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #93: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #94: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #95: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #96: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #97: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #98: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #99: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #100: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #101: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #102: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #103: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #104: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #105: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #106: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #107: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #108: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V0 == V2 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #109: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #110: unsound, references = 3, size of lhs = 3:
% 1.05/1.28 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 number of simplifiers = 20
% 1.05/1.28
% 1.05/1.28 Learnt:
% 1.05/1.28 #116: mergings( V0 == V2; #113 ), references = 1, size of lhs = 1:
% 1.05/1.28 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #118: mergings( V0 == V2; #114 ), references = 1, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #129: mergings( V0 == V3; #126 ), references = 1, size of lhs = 5:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #131: mergings( V0 == V3; #127 ), references = 4, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V2,V1) | empty-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #146: mergings( V0 == V3, V3 == V4; #141 ), references = 1, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | pppp20-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #149: mergings( V0 == V3, V3 == V4; #142 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V3) | pppp20-{T}(V2,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #152: mergings( V0 == V3, V3 == V4; #143 ), references = 1, size of lhs = 5:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp0-{F}(V4,V5) | pppp20-{T}(V4,V3)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #158: mergings( V0 == V2; #156 ), references = 1, size of lhs = 2:
% 1.05/1.28 element-{F}(V0,V0), P_empty_set-{F}(V1) | empty-{T}(V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #205: mergings( V0 == V3, V3 == V4; #200 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, element-{F}(V2,V1) | empty-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #209: mergings( V0 == V3, V3 == V4, V1 == V4; #201 ), references = 1, size of lhs = 5:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V0,V2), element-{F}(V2,V0) | empty-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #213: mergings( V0 == V3, V3 == V4, V1 == V4; #202 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), element-{F}(V0,V2), element-{F}(V2,V0) | empty-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #224: mergings( V0 == V3; #220 ), references = 2, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #227: mergings( V0 == V3, V2 == V3; #221 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #241: mergings( V0 == V3; #237 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #244: mergings( V0 == V3, V1 == V3; #238 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #246: mergings( V1 == V0; #239 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), pppp3-{F}(V0), P_powerset-{F}(V0,V1) | pppp18-{T}(V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #273: mergings( V0 == V3; #269 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #276: mergings( V0 == V3, V1 == V3; #270 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #279: mergings( V0 == V3, V1 == V3; #271 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #310: mergings( V0 == V3; #308 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), preboolean-{F}(V1), P_finite_subsets-{F}(V2,V3), V1 == V3 | pppp20-{T}(V2,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #352: mergings( V0 == V4; #349 ), references = 1, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #354: mergings( V0 == V4; #350 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp7-{T}(V3,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #383: mergings( V0 == V4; #381 ), references = 1, size of lhs = 2:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp11-{T}(V0,V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #421: mergings( V0 == V3; #417 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp19-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #424: mergings( V0 == V3, V1 == V3; #418 ), references = 1, size of lhs = 4:
% 1.05/1.28 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp19-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #427: mergings( V0 == V3, V1 == V3; #419 ), references = 1, size of lhs = 3:
% 1.05/1.28 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp19-{T}(V2)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #457: mergings( V2 == V3, V3 == V4; #454 ), references = 1, size of lhs = 3:
% 1.05/1.28 pppp15-{F}(V0), P_powerset-{F}(V0,V1), P_finite_subsets-{F}(V0,V1) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #512: mergings( V2 == V3, V3 == V4, V4 == V5, V7 == V9, V6 == V10; #506 ), references = 1, size of lhs = 7:
% 1.05/1.28 pppp15-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V3,V2), pppp1-{F}(V3,V4), V4 == V1, P_finite_subsets-{F}(V0,V4) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #522: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #515 ), references = 1, size of lhs = 3:
% 1.05/1.28 pppp15-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V0,V2) | P_finite_subsets-{T}(V0,V1)
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #531: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #524 ), references = 1, size of lhs = 3:
% 1.05/1.28 pppp15-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #540: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #532 ), references = 1, size of lhs = 2:
% 1.05/1.28 empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 #543: exists( #88, #541 ), references = 1, size of lhs = 0:
% 1.05/1.28 FALSE | FALSE
% 1.05/1.28 (used 0 times, uses = {})
% 1.05/1.28
% 1.05/1.28 number of learnt formulas = 32
% 1.05/1.28
% 1.05/1.28
% 1.05/1.28 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.28
% 1.05/1.28 randbase = 1
%------------------------------------------------------------------------------