TSTP Solution File: SET867+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:16:52 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 02:47:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 GeoParameters:
% 0.18/0.40
% 0.18/0.40 tptp_input = 1
% 0.18/0.40 tptp_output = 0
% 0.18/0.40 nonempty = 1
% 0.18/0.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40
% 0.18/0.40 RuleSystem INPUT:
% 0.18/0.40
% 0.18/0.40 Initial Rules:
% 0.18/0.40 #0: input, references = 3, size of lhs = 2:
% 0.18/0.40 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #1: input, references = 4, size of lhs = 1:
% 0.18/0.40 P_empty_set-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #2: input, references = 4, size of lhs = 3:
% 0.18/0.40 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #3: input, references = 6, size of lhs = 3:
% 0.18/0.40 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #4: input, references = 5, size of lhs = 2:
% 0.18/0.40 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp8-{T}(V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #5: input, references = 5, size of lhs = 1:
% 0.18/0.40 pppp8-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #6: input, references = 5, size of lhs = 1:
% 0.18/0.40 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #7: input, references = 4, size of lhs = 2:
% 0.18/0.40 P_empty_set-{F}(V0), P_union-{F}(V1,V3) | pppp2-{T}(V1,V3)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #8: input, references = 3, size of lhs = 4:
% 0.18/0.40 P_empty_set-{F}(V0), P_union-{F}(V1,V3), pppp2-{F}(V1,V2), V2 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #9: input, references = 4, size of lhs = 3:
% 0.18/0.40 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), in-{F}(V3,V2) | pppp1-{T}(V1,V3)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #10: input, references = 5, size of lhs = 3:
% 0.18/0.40 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp1-{F}(V1,V3) | in-{T}(V3,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #11: input, references = 4, size of lhs = 3:
% 0.18/0.40 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp9-{T}(V1,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #12: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 4, size of lhs = 2:
% 0.18/0.41 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V1,V2,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 4, size of lhs = 3:
% 0.18/0.41 P_empty_set-{F}(V0), in-{F}(V2,V3), in-{F}(V3,V1) | pppp1-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 3, size of lhs = 1:
% 0.18/0.41 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 3, size of lhs = 1:
% 0.18/0.41 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #21: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp6-{F}(V0) | empty-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #22: input, references = 3, size of lhs = 1:
% 0.18/0.41 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #23: input, references = 3, size of lhs = 2:
% 0.18/0.41 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #24: input, references = 4, size of lhs = 2:
% 0.18/0.41 P_empty_set-{F}(V0), P_union-{F}(V0,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #25: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #26: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of initial rules = 27
% 0.18/0.41
% 0.18/0.41 Simplifiers:
% 0.18/0.41 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of simplifiers = 7
% 0.18/0.41
% 0.18/0.41 Learnt:
% 0.18/0.41 #36: mergings( V0 == V3; #34 ), references = 1, size of lhs = 4:
% 0.18/0.41 P_empty_set-{F}(V0), P_union-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp9-{T}(V1,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #47: mergings( V2 == V3, V3 == V4; #44 ), references = 1, size of lhs = 5:
% 0.18/0.41 pppp8-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), in-{F}(V0,V3), pppp2-{F}(V3,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #50: disj( #14, mergings( V2 == V3, V3 == V4; #44 ) ), references = 1, size of lhs = 5:
% 0.18/0.41 pppp8-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V3,V2), pppp4-{F}(V4,V3,V0) | pppp1-{T}(V4,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #57: mergings( V0 == V2, V2 == V6, V6 == V7; #53 ), references = 1, size of lhs = 6:
% 0.18/0.41 pppp0-{F}(V0), pppp2-{F}(V1,V0), P_empty_set-{F}(V2), pppp0-{F}(V3), pppp2-{F}(V4,V3), pppp4-{F}(V4,V1,V5) | pppp0-{T}(V5)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #64: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9; #59 ), references = 1, size of lhs = 6:
% 0.18/0.41 pppp0-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V1), pppp9-{F}(V2,V3), pppp2-{F}(V3,V0), P_empty_set-{F}(V4) | pppp4-{T}(V2,V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #67: mergings( V0 == V2; #65 ), references = 2, size of lhs = 3:
% 0.18/0.41 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp8-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #76: mergings( V0 == V4; #74 ), references = 2, size of lhs = 3:
% 0.18/0.41 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp1-{F}(V1,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #88: mergings( V2 == V3; #86 ), references = 2, size of lhs = 4:
% 0.18/0.41 pppp8-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V2,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #95: mergings( V2 == V3, V3 == V4; #92 ), references = 1, size of lhs = 2:
% 0.18/0.41 P_empty_set-{F}(V0), pppp0-{F}(V1) | P_union-{T}(V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #99: exists( #25, #97 ), references = 1, size of lhs = 0:
% 0.18/0.41 FALSE | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of learnt formulas = 10
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 randbase = 1
%------------------------------------------------------------------------------