TSTP Solution File: SEU116+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:05:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.75 GeoParameters:
% 0.59/0.75
% 0.59/0.75 tptp_input = 1
% 0.59/0.75 tptp_output = 0
% 0.59/0.75 nonempty = 1
% 0.59/0.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.59/0.75
% 0.59/0.75
% 0.59/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.75
% 0.59/0.75 RuleSystem INPUT:
% 0.59/0.75
% 0.59/0.75 Initial Rules:
% 0.59/0.75 #0: input, references = 3, size of lhs = 1:
% 0.59/0.75 #-{F} V0 | subset-{T}(V0,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #1: input, references = 3, size of lhs = 2:
% 0.59/0.75 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #2: input, references = 3, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #3: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #4: input, references = 3, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #5: input, references = 4, size of lhs = 5:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #6: input, references = 4, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #7: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #8: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | cup_closed-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #9: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | diff_closed-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #10: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | preboolean-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #11: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), preboolean-{F}(V1) | cup_closed-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #12: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), preboolean-{F}(V1) | diff_closed-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #13: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), cup_closed-{F}(V1), diff_closed-{F}(V1) | preboolean-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #14: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1) | finite-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #15: input, references = 3, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), finite-{F}(V1), element-{F}(V3,V2) | finite-{T}(V3)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #16: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #17: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #18: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #19: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #20: input, references = 6, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #21: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #22: input, references = 5, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #23: input, references = 5, size of lhs = 1:
% 0.59/0.75 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #24: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #25: input, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #26: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #27: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #28: input, references = 3, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #29: input, references = 4, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V2,V3), element-{F}(V1,V3) | finite-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #30: input, references = 3, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #31: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp2-{F}(V0) | pppp1-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #32: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp1-{F}(V0) | preboolean-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #33: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp1-{F}(V0) | diff_closed-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #34: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp1-{F}(V0) | cap_closed-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #35: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp1-{F}(V0) | cup_closed-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #36: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #37: input, references = 3, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #38: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp3-{F}(V0) | finite-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #39: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #40: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V2,V3)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #41: input, references = 4, size of lhs = 1:
% 0.59/0.75 pppp5-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #42: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | finite-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #43: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | natural-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #44: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | ordinal-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #45: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #46: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #47: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | one_to_one-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #48: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | function-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #49: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | relation-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #50: input, references = 4, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | empty-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #51: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #52: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #53: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp14-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #54: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #55: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp6-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #56: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #57: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #58: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp15-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #59: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #60: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #61: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #62: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #63: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp16-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #64: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #65: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #66: input, references = 4, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #67: input, references = 4, size of lhs = 1:
% 0.59/0.75 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #68: input, references = 3, size of lhs = 1:
% 0.59/0.75 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #69: input, references = 4, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #70: input, references = 5, size of lhs = 1:
% 0.59/0.75 pppp10-{F}(V0) | empty-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #71: input, references = 3, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #72: input, references = 3, size of lhs = 2:
% 0.59/0.75 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #73: input, references = 4, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #74: input, references = 4, size of lhs = 1:
% 0.59/0.75 pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #75: input, references = 4, size of lhs = 2:
% 0.59/0.75 pppp13-{F}(V0), finite-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #76: input, references = 4, size of lhs = 2:
% 0.59/0.75 pppp12-{F}(V0,V1), P_finite_subsets-{F}(V1,V2) | element-{T}(V0,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #77: input, references = 4, size of lhs = 0:
% 0.59/0.75 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #78: input, references = 3, size of lhs = 1:
% 0.59/0.75 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #79: input, references = 4, size of lhs = 1:
% 0.59/0.75 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 number of initial rules = 80
% 0.59/0.75
% 0.59/0.75 Simplifiers:
% 0.59/0.75 #80: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #81: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #82: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #83: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #84: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #85: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #86: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #87: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #88: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #89: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #90: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #91: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #92: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #93: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #94: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #95: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #96: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #97: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #98: unsound, references = 3, size of lhs = 3:
% 0.59/0.75 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 number of simplifiers = 19
% 0.59/0.75
% 0.59/0.75 Learnt:
% 0.59/0.75 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #113: mergings( V0 == V3; #109 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #116: mergings( V0 == V3, V1 == V3; #110 ), references = 1, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #119: mergings( V0 == V3, V1 == V3; #111 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #129: mergings( V0 == V3; #125 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #131: mergings( V0 == V3; #127 ), references = 2, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #141: mergings( V0 == V3, V3 == V4; #138 ), references = 2, size of lhs = 5:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #153: mergings( V0 == V3; #149 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #156: mergings( V0 == V3, V1 == V3; #150 ), references = 1, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #160: mergings( V0 == V3, V2 == V4, V1 == V3; #151 ), references = 1, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp16-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #178: mergings( V0 == V4; #176 ), references = 1, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V2,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #183: mergings( V0 == V3; #181 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp0-{T}(V2,V0)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #191: mergings( V0 == V3; #187 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #194: mergings( V0 == V3, V1 == V3; #188 ), references = 1, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #198: mergings( V0 == V3, V2 == V4, V1 == V3; #189 ), references = 1, size of lhs = 4:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp15-{T}(V1)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #213: mergings( V0 == V4; #211 ), references = 1, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #244: exists( #79, #242 ), references = 1, size of lhs = 3:
% 0.59/0.75 P_empty_set-{F}(V0), pppp13-{F}(V1), pppp12-{F}(V1,V2) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #246: exists( #74, #243 ), references = 1, size of lhs = 2:
% 0.59/0.75 P_empty_set-{F}(V0), pppp13-{F}(V1) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #249: mergings( V0 == V2; #247 ), references = 1, size of lhs = 1:
% 0.59/0.75 P_empty_set-{F}(V0) | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 #251: exists( #77, #247 ), references = 1, size of lhs = 0:
% 0.59/0.75 FALSE | FALSE
% 0.59/0.75 (used 0 times, uses = {})
% 0.59/0.75
% 0.59/0.75 number of learnt formulas = 21
% 0.59/0.75
% 0.59/0.75
% 0.59/0.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.75
% 0.59/0.75 randbase = 1
%------------------------------------------------------------------------------