%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:17:26 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU186+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 : n004.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 18:57:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.54 GeoParameters:
% 0.18/0.54
% 0.18/0.54 tptp_input = 1
% 0.18/0.54 tptp_output = 0
% 0.18/0.54 nonempty = 1
% 0.18/0.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54
% 0.18/0.54 RuleSystem INPUT:
% 0.18/0.54
% 0.18/0.54 Initial Rules:
% 0.18/0.54 #0: input, references = 3, size of lhs = 2:
% 0.18/0.54 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #1: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #2: input, references = 4, size of lhs = 3:
% 0.18/0.54 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #3: input, references = 4, size of lhs = 1:
% 0.18/0.54 relation-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #4: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp0-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #5: input, references = 4, size of lhs = 2:
% 0.18/0.54 pppp0-{F}(V0), in-{F}(V1,V0) | EXISTS V2: pppp2-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #6: input, references = 3, size of lhs = 1:
% 0.18/0.54 #-{F} V0 | pppp0-{T}(V0), pppp10-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #7: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp10-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #8: input, references = 4, size of lhs = 2:
% 0.18/0.54 pppp3-{F}(V0,V4), P_ordered_pair-{F}(V2,V3,V4) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #9: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #10: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #11: input, references = 4, size of lhs = 3:
% 0.18/0.54 pppp1-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #12: input, references = 5, size of lhs = 5:
% 0.18/0.54 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #13: input, references = 4, size of lhs = 1:
% 0.18/0.54 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #14: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #15: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #16: input, references = 4, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #17: input, references = 3, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #18: input, references = 3, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #19: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #20: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #21: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #22: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp5-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #23: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp5-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #24: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #25: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp6-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #26: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #27: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp7-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #28: input, references = 3, size of lhs = 2:
% 0.18/0.54 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #29: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #30: input, references = 3, size of lhs = 2:
% 0.18/0.54 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #31: input, references = 3, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #32: input, references = 5, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #33: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #34: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp9-{F}(V1,V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #35: input, references = 4, size of lhs = 3:
% 0.18/0.54 pppp9-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #36: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp9-{F}(V0,V1) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #37: input, references = 5, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #38: input, references = 3, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #39: input, references = 5, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #40: input, references = 4, size of lhs = 2:
% 0.18/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #41: input, references = 5, size of lhs = 2:
% 0.18/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #42: input, references = 3, size of lhs = 1:
% 0.18/0.54 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #43: input, references = 4, size of lhs = 0:
% 0.18/0.54 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of initial rules = 44
% 0.18/0.54
% 0.18/0.54 Simplifiers:
% 0.18/0.54 #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of simplifiers = 15
% 0.18/0.54
% 0.18/0.54 Learnt:
% 0.18/0.54 #65: mergings( V0 == V2; #62 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #67: mergings( V0 == V2; #63 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #74: mergings( V0 == V2; #71 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #76: mergings( V0 == V2; #72 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #79: exists( #40, #12 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #80: exists( #40, #2 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #82: exists( #41, #12 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #88: disj( #32, input ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #89: disj( #32, input ), references = 1, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V1,V2), pppp9-{F}(V2,V3), P_ordered_pair-{F}(V4,V5,V1) | empty-{T}(V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #102: mergings( V0 == V3; #98 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V2) | in-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #104: mergings( V0 == V3; #99 ), references = 2, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #107: mergings( V0 == V3, V2 == V3; #100 ), references = 1, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #111: exists( #41, #11 ), references = 1, size of lhs = 1:
% 0.18/0.54 pppp1-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #118: exists( #10, #112 ), references = 1, size of lhs = 2:
% 0.18/0.54 pppp3-{F}(V0,V1), pppp2-{F}(V1,V2) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #119: exists( #10, #113 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V1,V2) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #120: exists( #10, #114 ), references = 1, size of lhs = 3:
% 0.18/0.54 pppp2-{F}(V0,V1), in-{F}(V0,V2), pppp9-{F}(V2,V3) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #124: exists( #5, #115 ), references = 1, size of lhs = 3:
% 0.18/0.54 pppp0-{F}(V0), in-{F}(V1,V0), pppp3-{F}(V2,V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #125: exists( #5, #116 ), references = 1, size of lhs = 4:
% 0.18/0.54 pppp0-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V2,V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #126: exists( #5, #117 ), references = 2, size of lhs = 4:
% 0.18/0.54 pppp0-{F}(V0), in-{F}(V1,V0), in-{F}(V1,V2), pppp9-{F}(V2,V3) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #130: exists( #7, #127 ), references = 1, size of lhs = 2:
% 0.18/0.54 pppp10-{F}(V0), pppp0-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #168: exists( #13, #164 ), references = 1, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0, pppp9-{F}(V1,V2) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #173: mergings( V0 == V2; #171 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp9-{T}(V0,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #176: exists( #43, #174 ), references = 1, size of lhs = 0:
% 0.18/0.54 FALSE | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of learnt formulas = 23
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54
% 0.18/0.54 randbase = 1
%------------------------------------------------------------------------------