TSTP Solution File: NUM383+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:12:22 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 23:56:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 4, size of lhs = 2:
% 0.18/0.47 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 3, size of lhs = 1:
% 0.18/0.47 empty-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 3, size of lhs = 1:
% 0.18/0.47 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 3, size of lhs = 3:
% 0.18/0.47 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 3, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #15: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #17: input, references = 5, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #18: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 5, size of lhs = 1:
% 0.18/0.47 pppp3-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #20: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: input, references = 5, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0) | empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp5-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #26: input, references = 3, size of lhs = 2:
% 0.18/0.47 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #27: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #28: input, references = 3, size of lhs = 2:
% 0.18/0.47 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #29: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #30: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #31: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #32: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #33: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #34: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #35: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #36: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #37: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp9-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #38: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp9-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #39: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp9-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #40: input, references = 3, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #41: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp10-{F}(V0) | function-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #42: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp10-{F}(V0) | relation_non_empty-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #43: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp10-{F}(V0) | relation-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #44: input, references = 3, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #45: input, references = 3, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #46: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #47: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #48: input, references = 6, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #49: input, references = 5, size of lhs = 4:
% 0.18/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #50: input, references = 5, size of lhs = 5:
% 0.18/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #51: input, references = 6, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #52: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #53: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #54: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #55: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #56: input, references = 6, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1) | in-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #57: input, references = 6, size of lhs = 4:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #58: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #59: input, references = 5, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of initial rules = 60
% 0.18/0.47
% 0.18/0.47 Simplifiers:
% 0.18/0.47 #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of simplifiers = 17
% 0.18/0.47
% 0.18/0.47 Learnt:
% 0.18/0.47 #82: mergings( V0 == V2; #79 ), references = 1, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #84: mergings( V0 == V2; #80 ), references = 1, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #90: mergings( V0 == V2; #87 ), references = 1, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #92: mergings( V0 == V2; #88 ), references = 1, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #98: mergings( V0 == V2; #95 ), references = 1, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #100: mergings( V0 == V2; #96 ), references = 1, size of lhs = 2:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #105: mergings( V0 == V3; #101 ), references = 2, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #108: mergings( V0 == V3, V2 == V3; #102 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #110: mergings( V2 == V0; #103 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_empty_set-{F}(V0), pppp5-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #125: mergings( V2 == V3, V3 == V4; #122 ), references = 1, size of lhs = 7:
% 0.18/0.47 pppp12-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V4), in-{F}(V5,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #141: mergings( V2 == V3, V3 == V4; #138 ), references = 2, size of lhs = 4:
% 0.18/0.47 pppp12-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #145: exists( #59, #141 ), references = 1, size of lhs = 3:
% 0.18/0.47 pppp12-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #148: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 0.18/0.47 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #158: mergings( V2 == V3; #156 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_empty_set-{F}(V0), empty-{F}(V1), subset-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #164: mergings( V2 == V3, V0 == V3; #161 ), references = 1, size of lhs = 3:
% 0.18/0.47 pppp12-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #168: exists( #58, #166 ), references = 1, size of lhs = 0:
% 0.18/0.47 FALSE | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of learnt formulas = 16
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 randbase = 1
%------------------------------------------------------------------------------