TSTP Solution File: SET949+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET949+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 06:17:00 EDT 2022
% Result : Theorem 3.50s 3.67s
% Output : Refutation 3.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET949+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 02:12:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.50/3.67 GeoParameters:
% 3.50/3.67
% 3.50/3.67 tptp_input = 1
% 3.50/3.67 tptp_output = 0
% 3.50/3.67 nonempty = 1
% 3.50/3.67 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.67 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.50/3.67
% 3.50/3.67
% 3.50/3.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.67
% 3.50/3.67 RuleSystem INPUT:
% 3.50/3.67
% 3.50/3.67 Initial Rules:
% 3.50/3.67 #0: input, references = 6, size of lhs = 2:
% 3.50/3.67 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #1: input, references = 4, size of lhs = 3:
% 3.50/3.67 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #2: input, references = 4, size of lhs = 1:
% 3.50/3.67 P_cartesian_product2-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #3: input, references = 3, size of lhs = 3:
% 3.50/3.67 P_cartesian_product2-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #4: input, references = 4, size of lhs = 2:
% 3.50/3.67 pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #5: input, references = 6, size of lhs = 2:
% 3.50/3.67 pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #6: input, references = 4, size of lhs = 3:
% 3.50/3.67 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp10-{T}(V0,V1,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #7: input, references = 3, size of lhs = 1:
% 3.50/3.67 pppp10-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #8: input, references = 3, size of lhs = 3:
% 3.50/3.67 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #9: input, references = 7, size of lhs = 1:
% 3.50/3.67 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #10: input, references = 4, size of lhs = 1:
% 3.50/3.67 pppp0-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #11: input, references = 4, size of lhs = 3:
% 3.50/3.67 in-{F}(V3,V1), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V4,V0) | pppp0-{T}(V0,V1,V5)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #12: input, references = 4, size of lhs = 1:
% 3.50/3.67 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V0,V2,V4,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #13: input, references = 3, size of lhs = 1:
% 3.50/3.67 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V1)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #14: input, references = 4, size of lhs = 3:
% 3.50/3.67 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), V1 == V4 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #15: input, references = 3, size of lhs = 2:
% 3.50/3.67 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #16: input, references = 5, size of lhs = 5:
% 3.50/3.67 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
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #17: input, references = 3, size of lhs = 2:
% 3.50/3.67 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #18: input, references = 3, size of lhs = 0:
% 3.50/3.67 FALSE | EXISTS V0: pppp5-{T}(V0)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #19: input, references = 3, size of lhs = 1:
% 3.50/3.67 pppp5-{F}(V0) | empty-{T}(V0)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #20: input, references = 3, size of lhs = 0:
% 3.50/3.67 FALSE | EXISTS V0: pppp6-{T}(V0)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #21: input, references = 3, size of lhs = 2:
% 3.50/3.67 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #22: input, references = 4, size of lhs = 0:
% 3.50/3.67 FALSE | EXISTS V0: pppp9-{T}(V0)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #23: input, references = 4, size of lhs = 1:
% 3.50/3.67 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #24: input, references = 4, size of lhs = 2:
% 3.50/3.67 pppp9-{F}(V0), P_ordered_pair-{F}(V1,V2,V0) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #25: input, references = 4, size of lhs = 1:
% 3.50/3.67 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #26: input, references = 4, size of lhs = 2:
% 3.50/3.67 pppp7-{F}(V0,V1,V2), P_cartesian_product2-{F}(V2,V1,V3) | in-{T}(V0,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #27: input, references = 5, size of lhs = 2:
% 3.50/3.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #28: input, references = 4, size of lhs = 2:
% 3.50/3.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #29: input, references = 5, size of lhs = 2:
% 3.50/3.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #30: input, references = 3, size of lhs = 1:
% 3.50/3.67 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 number of initial rules = 31
% 3.50/3.67
% 3.50/3.67 Simplifiers:
% 3.50/3.67 #31: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #32: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #33: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #34: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #35: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #36: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #37: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #38: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #39: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #40: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #41: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #42: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #43: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #44: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #45: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #46: unsound, references = 3, size of lhs = 3:
% 3.50/3.67 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 number of simplifiers = 16
% 3.50/3.67
% 3.50/3.67 Learnt:
% 3.50/3.67 #48: disj( #6, input ), references = 1, size of lhs = 3:
% 3.50/3.67 P_cartesian_product2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp10-{T}(V0,V1,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #50: exists( #27, #1 ), references = 2, size of lhs = 1:
% 3.50/3.67 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #52: exists( #29, #16 ), references = 1, size of lhs = 3:
% 3.50/3.67 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)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #58: exists( #27, #56 ), references = 1, size of lhs = 3:
% 3.50/3.67 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #73: disj( #9, input ), references = 2, size of lhs = 3:
% 3.50/3.67 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1,V0), pppp2-{F}(V2,V3,V4,V0) | in-{T}(V0,V4)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #83: disj( #9, #11+#5+#73+#0 ), references = 1, size of lhs = 5:
% 3.50/3.67 pppp1-{F}(V0,V0,V1), P_ordered_pair-{F}(V1,V1,V2), pppp2-{F}(V3,V4,V0,V1), pppp2-{F}(V5,V6,V0,V1), pppp2-{F}(V5,V6,V2,V1) | pppp0-{T}(V3,V4,V1)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #90: disj( #9, #5+#0 ), references = 1, size of lhs = 2:
% 3.50/3.67 pppp1-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V3,V2) | in-{T}(V2,V3)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #112: disj( #9, #5+#0 ), references = 1, size of lhs = 3:
% 3.50/3.67 in-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp2-{F}(V2,V3,V4,V1) | in-{T}(V1,V4)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #180: exists( #29, #14 ), references = 1, size of lhs = 1:
% 3.50/3.67 pppp3-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V2,V3,V1)
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #183: exists( #12, #181 ), references = 1, size of lhs = 2:
% 3.50/3.67 pppp9-{F}(V0), pppp4-{F}(V1,V2,V0,V3) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #185: exists( #10, #182 ), references = 2, size of lhs = 2:
% 3.50/3.67 pppp9-{F}(V0), pppp0-{F}(V1,V2,V0) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #248: exists( #28, #246 ), references = 1, size of lhs = 2:
% 3.50/3.67 pppp9-{F}(V0), pppp7-{F}(V0,V1,V2) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #250: exists( #25, #247 ), references = 1, size of lhs = 2:
% 3.50/3.67 pppp9-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #252: exists( #23, #249 ), references = 1, size of lhs = 1:
% 3.50/3.67 pppp9-{F}(V0) | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 #254: exists( #22, #251 ), references = 1, size of lhs = 0:
% 3.50/3.67 FALSE | FALSE
% 3.50/3.67 (used 0 times, uses = {})
% 3.50/3.67
% 3.50/3.67 number of learnt formulas = 15
% 3.50/3.67
% 3.50/3.67
% 3.50/3.67 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.67
% 3.50/3.67 randbase = 1
%------------------------------------------------------------------------------