TSTP Solution File: SET941+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:16:59 EDT 2022
% Result : Theorem 1.03s 1.20s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jul 23 01:24:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.03/1.20 GeoParameters:
% 1.03/1.20
% 1.03/1.20 tptp_input = 1
% 1.03/1.20 tptp_output = 0
% 1.03/1.20 nonempty = 1
% 1.03/1.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.03/1.20
% 1.03/1.20
% 1.03/1.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.20
% 1.03/1.20 RuleSystem INPUT:
% 1.03/1.20
% 1.03/1.20 Initial Rules:
% 1.03/1.20 #0: input, references = 7, size of lhs = 2:
% 1.03/1.20 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #1: input, references = 6, size of lhs = 1:
% 1.03/1.20 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #2: input, references = 4, size of lhs = 1:
% 1.03/1.20 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #3: input, references = 13, size of lhs = 2:
% 1.03/1.20 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #4: input, references = 9, size of lhs = 2:
% 1.03/1.20 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp10-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #5: input, references = 6, size of lhs = 1:
% 1.03/1.20 pppp10-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #6: input, references = 7, size of lhs = 2:
% 1.03/1.20 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #7: input, references = 6, size of lhs = 1:
% 1.03/1.20 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #8: input, references = 4, size of lhs = 1:
% 1.03/1.20 P_union-{F}(V0,V2) | pppp2-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #9: input, references = 3, size of lhs = 3:
% 1.03/1.20 P_union-{F}(V0,V2), pppp2-{F}(V0,V1), V1 == V2 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #10: input, references = 6, size of lhs = 2:
% 1.03/1.20 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #11: input, references = 11, size of lhs = 2:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #12: input, references = 4, size of lhs = 2:
% 1.03/1.20 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp11-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #13: input, references = 4, size of lhs = 1:
% 1.03/1.20 pppp11-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #14: input, references = 8, size of lhs = 3:
% 1.03/1.20 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #15: input, references = 12, size of lhs = 1:
% 1.03/1.20 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #16: input, references = 5, size of lhs = 1:
% 1.03/1.20 pppp1-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #17: input, references = 4, size of lhs = 2:
% 1.03/1.20 in-{F}(V1,V2), in-{F}(V2,V0) | pppp1-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #18: input, references = 5, size of lhs = 1:
% 1.03/1.20 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #19: input, references = 5, size of lhs = 1:
% 1.03/1.20 pppp5-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #20: input, references = 3, size of lhs = 0:
% 1.03/1.20 FALSE | EXISTS V0: pppp6-{T}(V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #21: input, references = 3, size of lhs = 1:
% 1.03/1.20 pppp6-{F}(V0) | empty-{T}(V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #22: input, references = 3, size of lhs = 0:
% 1.03/1.20 FALSE | EXISTS V0: pppp7-{T}(V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #23: input, references = 3, size of lhs = 2:
% 1.03/1.20 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #24: input, references = 5, size of lhs = 1:
% 1.03/1.20 #-{F} V0 | subset-{T}(V0,V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #25: input, references = 4, size of lhs = 0:
% 1.03/1.20 FALSE | EXISTS V0: pppp9-{T}(V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #26: input, references = 4, size of lhs = 1:
% 1.03/1.20 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #27: input, references = 4, size of lhs = 3:
% 1.03/1.20 pppp8-{F}(V0,V1), P_union-{F}(V0,V2), subset-{F}(V2,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #28: input, references = 4, size of lhs = 3:
% 1.03/1.20 pppp8-{F}(V0,V1), P_union-{F}(V0,V2), in-{F}(V3,V0) | subset-{T}(V3,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #29: input, references = 4, size of lhs = 1:
% 1.03/1.20 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 number of initial rules = 30
% 1.03/1.20
% 1.03/1.20 Simplifiers:
% 1.03/1.20 #30: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #31: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #32: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #33: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #34: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #35: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #36: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #37: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #38: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #39: unsound, references = 3, size of lhs = 3:
% 1.03/1.20 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 number of simplifiers = 10
% 1.03/1.20
% 1.03/1.20 Learnt:
% 1.03/1.20 #41: disj( #12, input ), references = 1, size of lhs = 3:
% 1.03/1.20 P_union-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp11-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #48: disj( #15, input ), references = 1, size of lhs = 1:
% 1.03/1.20 pppp4-{F}(V0,V1,V1) | pppp1-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #54: exists( #5, #52 ), references = 2, size of lhs = 3:
% 1.03/1.20 pppp10-{F}(V0,V1), in-{F}(V0,V2), pppp2-{F}(V2,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #62: disj( #15, #11+#0 ), references = 1, size of lhs = 2:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #64: disj( #4, exists( #5, #52 ) ), references = 1, size of lhs = 2:
% 1.03/1.20 in-{F}(V0,V1), pppp2-{F}(V1,V2) | pppp0-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #68: disj( #4, #3+#3+#0 ), references = 1, size of lhs = 2:
% 1.03/1.20 pppp0-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #75: disj( #15, #11+#54 ), references = 1, size of lhs = 4:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp2-{F}(V1,V2), pppp10-{F}(V3,V2), pppp4-{F}(V0,V4,V3) | in-{T}(V3,V4)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #76: disj( #15, #11+#0 ), references = 1, size of lhs = 3:
% 1.03/1.20 pppp2-{F}(V0,V1), in-{F}(V1,V2), pppp4-{F}(V0,V3,V2) | in-{T}(V2,V3)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #101: disj( #15, #11+#6 ), references = 1, size of lhs = 3:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp3-{F}(V4,V1,V3) | in-{T}(V3,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #110: disj( #15, #10+#3+#14 ), references = 1, size of lhs = 4:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp0-{F}(V1,V2), pppp4-{F}(V0,V2,V3), pppp4-{F}(V4,V1,V3) | pppp1-{T}(V4,V3)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #124: disj( #15, #3+#10+#14 ), references = 2, size of lhs = 4:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp0-{F}(V2,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V4,V2,V3) | pppp1-{T}(V4,V3)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #129: exists( #13, #127 ), references = 1, size of lhs = 5:
% 1.03/1.20 pppp11-{F}(V0,V1), pppp2-{F}(V0,V2), pppp0-{F}(V1,V2), pppp2-{F}(V0,V3), pppp0-{F}(V3,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #131: disj( #4, exists( #13, #127 ) ), references = 1, size of lhs = 4:
% 1.03/1.20 pppp11-{F}(V0,V1), pppp2-{F}(V0,V2), pppp2-{F}(V0,V3), pppp0-{F}(V3,V1) | pppp10-{T}(V1,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #155: exists( #5, #153 ), references = 2, size of lhs = 2:
% 1.03/1.20 pppp10-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #169: disj( #15, #11+#3+#14 ), references = 1, size of lhs = 4:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp0-{F}(V1,V2), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3) | in-{T}(V3,V4)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #172: disj( #4, #2+#27 ), references = 2, size of lhs = 2:
% 1.03/1.20 pppp8-{F}(V0,V1), P_union-{F}(V0,V2) | pppp10-{T}(V2,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #181: disj( #15, input ), references = 1, size of lhs = 2:
% 1.03/1.20 pppp4-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2) | pppp1-{T}(V0,V2)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #210: disj( #4, #3+#3+#6 ), references = 2, size of lhs = 3:
% 1.03/1.20 pppp0-{F}(V0,V1), pppp3-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp10-{T}(V4,V0)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #226: exists( #16, #222 ), references = 1, size of lhs = 1:
% 1.03/1.20 pppp1-{F}(V0,V0) | FALSE
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #270: disj( #4, #124+#11+#14 ), references = 1, size of lhs = 6:
% 1.03/1.20 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V4,V2,V3), pppp2-{F}(V4,V5), pppp4-{F}(V6,V5,V3), pppp1-{F}(V6,V3) | pppp10-{T}(V2,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #272: disj( #15, exists( #16, #222 ) ), references = 1, size of lhs = 1:
% 1.03/1.20 pppp4-{F}(V0,V1,V0) | in-{T}(V0,V1)
% 1.03/1.20 (used 0 times, uses = {})
% 1.03/1.20
% 1.03/1.20 #347: exists( #16, #345 ), references = 2, size of lhs = 6:
% 1.03/1.20 pppp1-{F}(V0,V1), pppp0-{F}(V0,V2), pppp8-{F}(V2,V3), P_union-{F}(V2,V4), pppp0-{F}(V3,V5), pppp3-{F}(V6,V5,V1) | FALSE
% 1.03/1.21 (used 0 times, uses = {})
% 1.03/1.21
% 1.03/1.21 #366: exists( #5, #364 ), references = 2, size of lhs = 6:
% 1.03/1.21 pppp2-{F}(V0,V1), pppp10-{F}(V1,V2), pppp0-{F}(V0,V3), pppp8-{F}(V3,V4), pppp0-{F}(V4,V2), P_union-{F}(V3,V5) | FALSE
% 1.03/1.21 (used 0 times, uses = {})
% 1.03/1.21
% 1.03/1.21 #373: mergings( V2 == V4; #371 ), references = 1, size of lhs = 4:
% 1.03/1.21 pppp9-{F}(V0), pppp0-{F}(V1,V0), pppp2-{F}(V1,V2), P_union-{F}(V0,V2) | FALSE
% 1.03/1.21 (used 0 times, uses = {})
% 1.03/1.21
% 1.03/1.21 #376: exists( #29, #374 ), references = 2, size of lhs = 2:
% 1.03/1.21 pppp9-{F}(V0), pppp0-{F}(V0,V0) | FALSE
% 1.03/1.21 (used 0 times, uses = {})
% 1.03/1.21
% 1.03/1.21 #380: exists( #25, #378 ), references = 1, size of lhs = 0:
% 1.03/1.21 FALSE | FALSE
% 1.03/1.21 (used 0 times, uses = {})
% 1.03/1.21
% 1.03/1.21 number of learnt formulas = 26
% 1.03/1.21
% 1.03/1.21
% 1.03/1.21 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.21
% 1.03/1.21 randbase = 1
%------------------------------------------------------------------------------