TSTP Solution File: SET902+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 0.36s 0.58s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 01:53:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.58 GeoParameters:
% 0.36/0.58
% 0.36/0.58 tptp_input = 1
% 0.36/0.58 tptp_output = 0
% 0.36/0.58 nonempty = 1
% 0.36/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.36/0.58
% 0.36/0.58
% 0.36/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.58
% 0.36/0.58 RuleSystem INPUT:
% 0.36/0.58
% 0.36/0.58 Initial Rules:
% 0.36/0.58 #0: input, references = 4, size of lhs = 3:
% 0.36/0.58 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #1: input, references = 3, size of lhs = 1:
% 0.36/0.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #2: input, references = 3, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #3: input, references = 3, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #4: input, references = 4, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #5: input, references = 4, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V0) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #6: input, references = 6, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), subset-{F}(V1,V3) | pppp0-{T}(V1,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #7: input, references = 3, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp0-{F}(V1,V2) | subset-{T}(V1,V3)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #8: input, references = 6, size of lhs = 5:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp0-{F}(V1,V2), V1 == V0, V1 == V3 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #9: input, references = 3, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp0-{T}(V0,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #10: input, references = 3, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp0-{T}(V3,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #11: input, references = 3, size of lhs = 1:
% 0.36/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #12: input, references = 3, size of lhs = 1:
% 0.36/0.58 pppp1-{F}(V0) | empty-{T}(V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #13: input, references = 3, size of lhs = 1:
% 0.36/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #14: input, references = 3, size of lhs = 2:
% 0.36/0.58 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #15: input, references = 3, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #16: input, references = 4, size of lhs = 1:
% 0.36/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #17: input, references = 5, size of lhs = 1:
% 0.36/0.58 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V0,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #18: input, references = 6, size of lhs = 1:
% 0.36/0.58 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V2,V3,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #19: input, references = 3, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V4,V3,V3), P_singleton-{F}(V0,V4), P_set_union2-{F}(V4,V3,V5) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #20: input, references = 4, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V3,V4,V3), P_singleton-{F}(V0,V4), P_set_union2-{F}(V3,V4,V5) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #21: input, references = 5, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V4,V4,V3), P_singleton-{F}(V0,V4), P_set_union2-{F}(V4,V4,V5) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #22: input, references = 4, size of lhs = 4:
% 0.36/0.58 pppp3-{F}(V0,V1,V2,V3), P_singleton-{F}(V0,V4), P_set_union2-{F}(V1,V2,V5), V4 == V5 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #23: input, references = 6, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3) | subset-{T}(V1,V3)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #24: input, references = 7, size of lhs = 2:
% 0.36/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #25: input, references = 4, size of lhs = 0:
% 0.36/0.58 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #26: input, references = 4, size of lhs = 1:
% 0.36/0.58 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 number of initial rules = 27
% 0.36/0.58
% 0.36/0.58 Simplifiers:
% 0.36/0.58 #27: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #28: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #29: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #30: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #31: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #32: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #33: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #34: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #35: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #36: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #37: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #38: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #39: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #40: unsound, references = 3, size of lhs = 3:
% 0.36/0.58 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 number of simplifiers = 14
% 0.36/0.58
% 0.36/0.58 Learnt:
% 0.36/0.58 #42: exists( #24, #4 ), references = 3, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #46: exists( #24, #0 ), references = 4, size of lhs = 1:
% 0.36/0.58 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #58: exists( #24, #22 ), references = 4, size of lhs = 2:
% 0.36/0.58 P_singleton-{F}(V0,V1), pppp3-{F}(V0,V2,V3,V4) | P_set_union2-{T}(V2,V3,V1)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #66: mergings( V4 == V5, V5 == V6, V7 == V9; #62 ), references = 2, size of lhs = 6:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp4-{F}(V1,V4,V5), V5 == V0, V5 == V2 | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #71: mergings( V3 == V4, V4 == V5, V6 == V8; #67 ), references = 1, size of lhs = 4:
% 0.36/0.58 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3) | pppp4-{T}(V2,V1,V0), pppp4-{T}(V2,V1,V3)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #86: mergings( V4 == V5, V5 == V6, V7 == V9, V2 == V6; #80 ), references = 2, size of lhs = 4:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp4-{F}(V1,V4,V0) | pppp3-{T}(V1,V0,V0,V4), pppp3-{T}(V1,V0,V2,V4)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #87: mergings( V4 == V5, V5 == V6, V7 == V9, V2 == V9; #80 ), references = 1, size of lhs = 4:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp4-{F}(V1,V4,V2) | pppp3-{T}(V1,V2,V0,V4), pppp3-{T}(V1,V2,V2,V4)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #93: mergings( V0 == V1, V1 == V2, V4 == V7, V7 == V6; #88 ), references = 2, size of lhs = 5:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V3,V0,V2), P_singleton-{F}(V3,V2), P_set_union2-{F}(V2,V0,V4) | pppp3-{T}(V3,V2,V2,V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #103: mergings( V0 == V1, V1 == V2, V2 == V8, V8 == V9, V9 == V3, V5 == V7, V7 == V10; #95 ), references = 1, size of lhs = 7:
% 0.36/0.58 P_empty_set-{F}(V0), pppp5-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V2), P_set_union2-{F}(V2,V0,V5), P_set_union2-{F}(V2,V2,V6) | pppp4-{T}(V1,V0,V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #124: mergings( V0 == V1, V1 == V2, V4 == V6, V7 == V2; #118 ), references = 1, size of lhs = 5:
% 0.36/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1,V0,V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_set_union2-{F}(V0,V2,V4) | pppp3-{T}(V1,V0,V0,V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #125: mergings( V0 == V1, V1 == V2, V4 == V6, V7 == V6; #118 ), references = 1, size of lhs = 5:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp4-{F}(V3,V2,V2), P_set_union2-{F}(V2,V2,V4) | pppp3-{T}(V3,V2,V0,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #139: exists( #24, #137 ), references = 1, size of lhs = 5:
% 0.36/0.58 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V3,V0,V2), P_singleton-{F}(V3,V2), P_set_union2-{F}(V2,V2,V4) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #142: mergings( V0 == V1; #140 ), references = 1, size of lhs = 6:
% 0.36/0.58 P_empty_set-{F}(V0), pppp5-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V2), P_set_union2-{F}(V2,V2,V5) | pppp4-{T}(V1,V0,V0)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #160: mergings( V2 == V5; #158 ), references = 1, size of lhs = 6:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V0,V0,V1), P_singleton-{F}(V2,V3), V3 == V1, P_singleton-{F}(V4,V3), pppp4-{F}(V4,V5,V0) | pppp3-{T}(V4,V0,V3,V5)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #167: mergings( V2 == V3; #165 ), references = 1, size of lhs = 3:
% 0.36/0.58 P_empty_set-{F}(V0), pppp5-{F}(V0,V1), P_set_union2-{F}(V0,V0,V2) | P_singleton-{T}(V1,V2)
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #172: mergings( V2 == V0, V0 == V3; #169 ), references = 1, size of lhs = 2:
% 0.36/0.58 P_empty_set-{F}(V0), P_set_union2-{F}(V0,V0,V0) | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 #175: exists( #25, #173 ), references = 1, size of lhs = 0:
% 0.36/0.58 FALSE | FALSE
% 0.36/0.58 (used 0 times, uses = {})
% 0.36/0.58
% 0.36/0.58 number of learnt formulas = 17
% 0.36/0.58
% 0.36/0.58
% 0.36/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.58
% 0.36/0.58 randbase = 1
%------------------------------------------------------------------------------