TSTP Solution File: SET016-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:15:34 EDT 2022
% Result : Unsatisfiable 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 02:18:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/0.62 GeoParameters:
% 0.40/0.62
% 0.40/0.62 tptp_input = 1
% 0.40/0.62 tptp_output = 0
% 0.40/0.62 nonempty = 1
% 0.40/0.62 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62
% 0.40/0.62 RuleSystem INPUT:
% 0.40/0.62
% 0.40/0.62 Initial Rules:
% 0.40/0.62 #0: input, references = 6, size of lhs = 1:
% 0.40/0.62 P_singleton_set-{F}(V0,V1) | member-{T}(V0,V1)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #1: input, references = 6, size of lhs = 3:
% 0.40/0.62 P_singleton_set-{F}(V1,V2), member-{F}(V0,V2), V0 == V1 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #2: input, references = 5, size of lhs = 1:
% 0.40/0.62 P_unordered_pair-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #3: input, references = 4, size of lhs = 1:
% 0.40/0.62 P_unordered_pair-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #4: input, references = 5, size of lhs = 4:
% 0.40/0.62 P_unordered_pair-{F}(V2,V1,V3), member-{F}(V0,V3), V0 == V1, V0 == V2 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #5: input, references = 5, size of lhs = 5:
% 0.40/0.62 P_ordered_pair-{F}(V0,V1,V2), P_singleton_set-{F}(V0,V3), P_unordered_pair-{F}(V0,V1,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #6: input, references = 4, size of lhs = 7:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V1,V2), P_m2-{F}(V3), P_r2-{F}(V4), P_ordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #7: input, references = 5, size of lhs = 6:
% 0.40/0.62 P_m1-{F}(V3), P_r1-{F}(V1), P_ordered_pair-{F}(V3,V1,V2), P_m2-{F}(V3), P_r2-{F}(V4), P_ordered_pair-{F}(V3,V4,V5) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #8: input, references = 7, size of lhs = 1:
% 0.40/0.62 #-{F} V0 | EXISTS V1: P_singleton_set-{T}(V0,V1)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #9: input, references = 6, size of lhs = 2:
% 0.40/0.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #10: input, references = 9, size of lhs = 2:
% 0.40/0.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #11: input, references = 4, size of lhs = 0:
% 0.40/0.62 FALSE | EXISTS V0: P_m1-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #12: input, references = 4, size of lhs = 0:
% 0.40/0.62 FALSE | EXISTS V0: P_r1-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #13: input, references = 4, size of lhs = 0:
% 0.40/0.62 FALSE | EXISTS V0: P_m2-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #14: input, references = 5, size of lhs = 0:
% 0.40/0.62 FALSE | EXISTS V0: P_r2-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 number of initial rules = 15
% 0.40/0.62
% 0.40/0.62 Simplifiers:
% 0.40/0.62 #15: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_singleton_set-{F}(V0,V1), P_singleton_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #16: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #17: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #18: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_m1-{F}(V0), P_m1-{F}(V1), V0 == V1 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #19: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #20: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_m2-{F}(V0), P_m2-{F}(V1), V0 == V1 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #21: unsound, references = 3, size of lhs = 3:
% 0.40/0.62 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 number of simplifiers = 7
% 0.40/0.62
% 0.40/0.62 Learnt:
% 0.40/0.62 #24: exists( #10, #5 ), references = 1, size of lhs = 3:
% 0.40/0.62 P_singleton_set-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V1,V3,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #26: exists( #10, #7 ), references = 1, size of lhs = 4:
% 0.40/0.62 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1), P_r2-{F}(V1) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #30: exists( #9, #5 ), references = 4, size of lhs = 3:
% 0.40/0.62 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #65: exists( #10, #7 ), references = 1, size of lhs = 5:
% 0.40/0.62 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V1,V2), P_r2-{F}(V3) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #66: exists( #10, #6 ), references = 2, size of lhs = 5:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V1,V2), P_m2-{F}(V3), P_r2-{F}(V4) | P_ordered_pair-{T}(V3,V4,V2)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #68: exists( #10, #63 ), references = 1, size of lhs = 4:
% 0.40/0.62 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1), P_r2-{F}(V2) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #70: exists( #14, #67 ), references = 2, size of lhs = 3:
% 0.40/0.62 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #83: exists( #8, #81 ), references = 1, size of lhs = 4:
% 0.40/0.62 member-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V1), P_unordered_pair-{F}(V2,V3,V4), V0 == V4 | P_singleton_set-{T}(V2,V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #89: exists( #10, #87 ), references = 1, size of lhs = 10:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_unordered_pair-{F}(V2,V3,V4), P_singleton_set-{F}(V0,V5), V5 == V4, member-{F}(V6,V5), V6 == V2, P_unordered_pair-{F}(V0,V1,V7) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #91: exists( #9, #88 ), references = 2, size of lhs = 9:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_unordered_pair-{F}(V2,V3,V4), P_singleton_set-{F}(V0,V5), V5 == V4, member-{F}(V6,V5), V6 == V2 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #94: exists( #8, #92 ), references = 1, size of lhs = 6:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2, P_r2-{F}(V3), P_unordered_pair-{F}(V2,V3,V4) | P_singleton_set-{T}(V0,V4)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #99: exists( #10, #97 ), references = 1, size of lhs = 8:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2, P_singleton_set-{F}(V3,V2), P_r2-{F}(V4), V4 == V0, P_unordered_pair-{F}(V3,V5,V4) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #122: exists( #9, #91 ), references = 2, size of lhs = 7:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_singleton_set-{F}(V0,V4), member-{F}(V5,V4), V5 == V2 | P_unordered_pair-{T}(V2,V3,V4)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #126: exists( #8, #124 ), references = 1, size of lhs = 6:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2, P_r2-{F}(V3), V0 == V3 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #128: exists( #14, #125 ), references = 1, size of lhs = 4:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2 | P_r2-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #134: mergings( V0 == V4; #132 ), references = 1, size of lhs = 5:
% 0.40/0.62 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V2 == V0 | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #139: mergings( V1 == V3, V2 == V4; #136 ), references = 1, size of lhs = 2:
% 0.40/0.62 P_m1-{F}(V0), P_r1-{F}(V1) | P_m2-{T}(V0)
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #144: mergings( V1 == V2; #142 ), references = 1, size of lhs = 1:
% 0.40/0.62 P_m1-{F}(V0) | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 #146: exists( #11, #142 ), references = 1, size of lhs = 0:
% 0.40/0.62 FALSE | FALSE
% 0.40/0.62 (used 0 times, uses = {})
% 0.40/0.62
% 0.40/0.62 number of learnt formulas = 19
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62
% 0.40/0.62 randbase = 1
%------------------------------------------------------------------------------