TSTP Solution File: SET903+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:16:55 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sat Jul 23 01:23:06 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.42 GeoParameters:
% 0.19/0.42
% 0.19/0.42 tptp_input = 1
% 0.19/0.42 tptp_output = 0
% 0.19/0.42 nonempty = 1
% 0.19/0.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 RuleSystem INPUT:
% 0.19/0.42
% 0.19/0.42 Initial Rules:
% 0.19/0.42 #0: input, references = 4, size of lhs = 3:
% 0.19/0.42 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #1: input, references = 3, size of lhs = 1:
% 0.19/0.42 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #2: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #3: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #4: input, references = 4, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #5: input, references = 3, size of lhs = 1:
% 0.19/0.42 P_empty_set-{F}(V0) | EXISTS V1: pppp0-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #6: input, references = 3, size of lhs = 1:
% 0.19/0.42 pppp0-{F}(V0) | empty-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #7: input, references = 3, size of lhs = 1:
% 0.19/0.42 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #8: input, references = 3, size of lhs = 2:
% 0.19/0.42 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #9: input, references = 3, size of lhs = 5:
% 0.19/0.42 P_empty_set-{F}(V0), P_singleton-{F}(V1,V5), P_set_union2-{F}(V2,V3,V5), V2 == V0, V2 == V5 | pppp2-{T}(V2,V3,V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #10: input, references = 5, size of lhs = 5:
% 0.19/0.42 P_empty_set-{F}(V0), P_singleton-{F}(V1,V5), P_set_union2-{F}(V2,V3,V5), V2 == V0, V3 == V0 | pppp2-{T}(V2,V3,V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #11: input, references = 3, size of lhs = 5:
% 0.19/0.42 P_empty_set-{F}(V0), P_singleton-{F}(V1,V5), P_set_union2-{F}(V2,V3,V5), V3 == V5, V2 == V5 | pppp2-{T}(V2,V3,V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #12: input, references = 3, size of lhs = 5:
% 0.19/0.42 P_empty_set-{F}(V0), P_singleton-{F}(V1,V5), P_set_union2-{F}(V2,V3,V5), V3 == V5, V3 == V0 | pppp2-{T}(V2,V3,V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #13: input, references = 4, size of lhs = 2:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), V1 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #14: input, references = 4, size of lhs = 2:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), V0 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #15: input, references = 4, size of lhs = 1:
% 0.19/0.42 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #16: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #17: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp5-{F}(V1,V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #18: input, references = 4, size of lhs = 2:
% 0.19/0.42 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V3) | EXISTS V4: pppp3-{T}(V3,V4)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #19: input, references = 4, size of lhs = 2:
% 0.19/0.42 pppp4-{F}(V2,V1,V2), P_set_union2-{F}(V2,V1,V3) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #20: input, references = 4, size of lhs = 2:
% 0.19/0.42 pppp4-{F}(V1,V1,V2), P_set_union2-{F}(V1,V1,V3) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #21: input, references = 4, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), P_singleton-{F}(V1,V2), V2 == V0 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #22: input, references = 7, size of lhs = 2:
% 0.19/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #23: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #24: input, references = 4, size of lhs = 1:
% 0.19/0.42 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of initial rules = 25
% 0.19/0.42
% 0.19/0.42 Simplifiers:
% 0.19/0.42 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of simplifiers = 12
% 0.19/0.42
% 0.19/0.42 Learnt:
% 0.19/0.42 #38: exists( #22, #4 ), references = 2, size of lhs = 2:
% 0.19/0.42 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #40: exists( #22, #0 ), references = 3, size of lhs = 1:
% 0.19/0.42 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #51: exists( #24, #21 ), references = 1, size of lhs = 1:
% 0.19/0.42 pppp3-{F}(V0,V1) | P_singleton-{T}(V1,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #58: exists( #18, #54 ), references = 3, size of lhs = 7:
% 0.19/0.42 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), P_set_union2-{F}(V1,V2,V4), P_set_union2-{F}(V5,V6,V4), V5 == V0, V6 == V0, V6 == V4 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #63: mergings( V7 == V3, V0 == V5; #57 ), references = 1, size of lhs = 7:
% 0.19/0.42 P_empty_set-{F}(V0), pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V3), V3 == V0, P_set_union2-{F}(V4,V3,V3), V4 == V0, V4 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #64: mergings( V7 == V3, V1 == V5; #57 ), references = 1, size of lhs = 7:
% 0.19/0.42 P_empty_set-{F}(V0), pppp4-{F}(V1,V0,V2), P_set_union2-{F}(V1,V0,V3), V3 == V0, P_set_union2-{F}(V4,V3,V3), V4 == V0, V4 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #65: mergings( V7 == V3, V1 == V3; #57 ), references = 1, size of lhs = 7:
% 0.19/0.42 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V2), V2 == V0, pppp4-{F}(V1,V2,V3), P_set_union2-{F}(V4,V2,V2), V4 == V0, V4 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #69: exists( #22, #67 ), references = 1, size of lhs = 4:
% 0.19/0.42 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), V1 == V0, V2 == V0 | P_set_union2-{T}(V2,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #77: mergings( V3 == V4; #74 ), references = 1, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), V1 == V0 | pppp4-{T}(V0,V1,V2), pppp4-{T}(V1,V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #80: exists( #22, #19 ), references = 1, size of lhs = 1:
% 0.19/0.42 pppp4-{F}(V0,V1,V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #82: disj( #74, exists( #22, #19 ), exists( #22, #19 ) ), references = 2, size of lhs = 3:
% 0.19/0.42 P_empty_set-{F}(V0), pppp5-{F}(V1,V0), V1 == V0 | pppp4-{T}(V1,V1,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #88: mergings( V2 == V0; #86 ), references = 1, size of lhs = 1:
% 0.19/0.42 P_empty_set-{F}(V0) | pppp5-{T}(V0,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #91: exists( #23, #89 ), references = 1, size of lhs = 0:
% 0.19/0.42 FALSE | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of learnt formulas = 13
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 randbase = 1
%------------------------------------------------------------------------------