%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET931+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 06:16:58 EDT 2022
% Result : Theorem 2.49s 2.70s
% Output : Refutation 2.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET931+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 : Sat Jul 23 01:51:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.49/2.70 GeoParameters:
% 2.49/2.70
% 2.49/2.70 tptp_input = 1
% 2.49/2.70 tptp_output = 0
% 2.49/2.70 nonempty = 1
% 2.49/2.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/2.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.49/2.70
% 2.49/2.70
% 2.49/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/2.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/2.70
% 2.49/2.70 RuleSystem INPUT:
% 2.49/2.70
% 2.49/2.70 Initial Rules:
% 2.49/2.70 #0: input, references = 4, size of lhs = 3:
% 2.49/2.70 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #1: input, references = 3, size of lhs = 1:
% 2.49/2.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #2: input, references = 4, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), subset-{F}(V1,V4) | pppp0-{T}(V1,V2,V3)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #3: input, references = 6, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp0-{F}(V1,V2,V3) | subset-{T}(V1,V4)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #4: input, references = 7, size of lhs = 5:
% 2.49/2.70 P_empty_set-{F}(V0), #-{F} V1, P_singleton-{F}(V2,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V2,V3,V6) | pppp2-{T}(V1,V2,V3,V0,V4,V5,V6)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #5: input, references = 3, size of lhs = 1:
% 2.49/2.70 pppp2-{F}(V6,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V6,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #6: input, references = 5, size of lhs = 1:
% 2.49/2.70 pppp2-{F}(V5,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V5,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #7: input, references = 3, size of lhs = 1:
% 2.49/2.70 pppp2-{F}(V4,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V4,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #8: input, references = 4, size of lhs = 1:
% 2.49/2.70 pppp2-{F}(V3,V1,V2,V3,V4,V5,V6) | pppp0-{T}(V3,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #9: input, references = 4, size of lhs = 6:
% 2.49/2.70 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6), pppp0-{F}(V0,V1,V2), V0 == V3, V0 == V4, V0 == V5, V0 == V6 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #10: input, references = 3, size of lhs = 1:
% 2.49/2.70 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #11: input, references = 3, size of lhs = 1:
% 2.49/2.70 pppp3-{F}(V0) | empty-{T}(V0)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #12: input, references = 3, size of lhs = 1:
% 2.49/2.70 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #13: input, references = 3, size of lhs = 2:
% 2.49/2.70 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #14: input, references = 4, size of lhs = 2:
% 2.49/2.70 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #15: input, references = 4, size of lhs = 2:
% 2.49/2.70 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #16: input, references = 4, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #17: input, references = 4, size of lhs = 1:
% 2.49/2.70 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #18: input, references = 5, size of lhs = 1:
% 2.49/2.70 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V0,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #19: input, references = 6, size of lhs = 1:
% 2.49/2.70 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V2,V3,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #20: input, references = 7, size of lhs = 4:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V0,V4,V3), pppp1-{F}(V0,V1,V2) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #21: input, references = 4, size of lhs = 4:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V0,V4,V5), V5 == V3 | pppp1-{T}(V0,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #22: input, references = 8, size of lhs = 5:
% 2.49/2.70 P_empty_set-{F}(V0), #-{F} V1, P_singleton-{F}(V2,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V2,V3,V6) | pppp8-{T}(V1,V2,V3,V0,V4,V5,V6)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #23: input, references = 4, size of lhs = 1:
% 2.49/2.70 pppp8-{F}(V6,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V6,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #24: input, references = 4, size of lhs = 1:
% 2.49/2.70 pppp8-{F}(V5,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V5,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #25: input, references = 4, size of lhs = 1:
% 2.49/2.70 pppp8-{F}(V4,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V4,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #26: input, references = 4, size of lhs = 1:
% 2.49/2.70 pppp8-{F}(V3,V1,V2,V3,V4,V5,V6) | pppp1-{T}(V3,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #27: input, references = 4, size of lhs = 6:
% 2.49/2.70 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp1-{F}(V0,V1,V2), V0 == V3, V0 == V4, V0 == V5, V0 == V6 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #28: input, references = 8, size of lhs = 2:
% 2.49/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #29: input, references = 4, size of lhs = 0:
% 2.49/2.70 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #30: input, references = 8, size of lhs = 1:
% 2.49/2.70 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #31: input, references = 5, size of lhs = 2:
% 2.49/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 number of initial rules = 32
% 2.49/2.70
% 2.49/2.70 Simplifiers:
% 2.49/2.70 #32: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #33: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #34: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #35: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #36: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6), pppp2-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #37: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6), pppp2-{F}(V7,V1,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #38: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6), pppp2-{F}(V7,V8,V2,V10,V11,V12,V13), V5 == V12 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #39: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6), pppp2-{F}(V7,V1,V2,V10,V11,V12,V13), V6 == V13 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #40: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #41: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #42: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #43: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #44: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #45: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #46: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #47: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V5), V0 == V3 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #48: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #49: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #50: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #51: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #52: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V1,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #53: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V8,V2,V10,V11,V12,V13), V5 == V12 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #54: unsound, references = 3, size of lhs = 3:
% 2.49/2.70 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6), pppp8-{F}(V7,V1,V2,V10,V11,V12,V13), V6 == V13 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 number of simplifiers = 23
% 2.49/2.70
% 2.49/2.70 Learnt:
% 2.49/2.70 #56: exists( #31, #16 ), references = 5, size of lhs = 2:
% 2.49/2.70 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #58: exists( #28, #0 ), references = 3, size of lhs = 1:
% 2.49/2.70 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #92: exists( #31, #90 ), references = 1, size of lhs = 7:
% 2.49/2.70 P_unordered_pair-{F}(V0,V1,V2), pppp5-{F}(V3,V0,V1,V4), pppp8-{F}(V3,V0,V1,V5,V6,V7,V8), V3 == V5, V3 == V6, V3 == V7, V3 == V8 | P_set_difference-{T}(V3,V2,V4)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #105: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V10, V8 == V9; #99 ), references = 2, size of lhs = 7:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), pppp5-{F}(V5,V3,V1,V0), V5 == V0, V5 == V2, V5 == V4 | P_unordered_pair-{T}(V3,V1,V5)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #130: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9; #125 ), references = 2, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), pppp5-{F}(V4,V1,V3,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #138: mergings( V2 == V3, V5 == V7, V3 == V8; #134 ), references = 1, size of lhs = 6:
% 2.49/2.70 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V1,V0), V1 == V0, P_singleton-{F}(V2,V3), V1 == V3, pppp5-{F}(V1,V2,V4,V0) | P_singleton-{T}(V4,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #144: mergings( V4 == V1, V5 == V6, V6 == V7; #140 ), references = 2, size of lhs = 6:
% 2.49/2.70 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V1,V0), V1 == V0, pppp6-{F}(V1,V0,V2), P_singleton-{F}(V2,V3), V1 == V3 | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #157: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9; #152 ), references = 2, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), pppp5-{F}(V4,V3,V1,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #159: exists( #30, #144 ), references = 1, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V1,V0), V1 == V0, pppp6-{F}(V1,V0,V2) | P_singleton-{T}(V2,V1)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #161: exists( #30, #157 ), references = 1, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp5-{F}(V2,V1,V3,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #163: exists( #19, #160 ), references = 1, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V2,V1) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #166: exists( #18, #164 ), references = 2, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), pppp7-{F}(V0,V1), V1 == V0, P_set_difference-{F}(V1,V1,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #198: mergings( V3 == V4, V4 == V5, V6 == V8, V7 == V9; #193 ), references = 1, size of lhs = 4:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp5-{F}(V0,V1,V3,V0), P_singleton-{F}(V3,V4) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #203: mergings( V2 == V3, V3 == V4, V6 == V7; #199 ), references = 1, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp5-{F}(V0,V1,V3,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #208: mergings( V4 == V0, V0 == V1, V5 == V6; #204 ), references = 2, size of lhs = 3:
% 2.49/2.70 P_empty_set-{F}(V0), pppp6-{F}(V0,V0,V1), P_singleton-{F}(V1,V2) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #210: exists( #30, #208 ), references = 1, size of lhs = 2:
% 2.49/2.70 P_empty_set-{F}(V0), pppp6-{F}(V0,V0,V1) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #212: exists( #18, #209 ), references = 2, size of lhs = 2:
% 2.49/2.70 P_empty_set-{F}(V0), pppp7-{F}(V0,V0) | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #217: mergings( V2 == V0; #215 ), references = 1, size of lhs = 1:
% 2.49/2.70 P_empty_set-{F}(V0) | pppp7-{T}(V0,V0)
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 #220: exists( #29, #218 ), references = 1, size of lhs = 0:
% 2.49/2.70 FALSE | FALSE
% 2.49/2.70 (used 0 times, uses = {})
% 2.49/2.70
% 2.49/2.70 number of learnt formulas = 19
% 2.49/2.70
% 2.49/2.70
% 2.49/2.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/2.70
% 2.49/2.70 randbase = 1
%------------------------------------------------------------------------------