TSTP Solution File: SET879+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:16:53 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.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 02:21:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 GeoParameters:
% 0.19/0.47
% 0.19/0.47 tptp_input = 1
% 0.19/0.47 tptp_output = 0
% 0.19/0.47 nonempty = 1
% 0.19/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 RuleSystem INPUT:
% 0.19/0.47
% 0.19/0.47 Initial Rules:
% 0.19/0.47 #0: input, references = 6, size of lhs = 2:
% 0.19/0.47 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #1: input, references = 5, size of lhs = 1:
% 0.19/0.47 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #2: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #3: input, references = 5, size of lhs = 3:
% 0.19/0.47 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #4: input, references = 5, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #5: input, references = 5, size of lhs = 2:
% 0.19/0.47 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp6-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #6: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp6-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #7: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #8: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #9: input, references = 5, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V2), P_set_difference-{F}(V2,V1,V2), in-{F}(V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #10: input, references = 7, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V2), P_set_difference-{F}(V2,V1,V3), V3 == V2 | in-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #11: input, references = 3, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #12: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | empty-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #13: input, references = 3, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #14: input, references = 3, size of lhs = 2:
% 0.19/0.47 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #15: input, references = 4, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #16: input, references = 5, size of lhs = 1:
% 0.19/0.47 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #17: input, references = 4, size of lhs = 5:
% 0.19/0.47 pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V2,V3,V2), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #18: input, references = 4, size of lhs = 5:
% 0.19/0.47 pppp4-{F}(V1,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V2,V3,V4), V4 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #19: input, references = 5, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #20: input, references = 6, size of lhs = 2:
% 0.19/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of initial rules = 21
% 0.19/0.47
% 0.19/0.47 Simplifiers:
% 0.19/0.47 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of simplifiers = 9
% 0.19/0.47
% 0.19/0.47 Learnt:
% 0.19/0.47 #32: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | pppp6-{T}(V0,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #42: disj( #5, input ), references = 1, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp6-{T}(V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #49: exists( #6, #46 ), references = 1, size of lhs = 2:
% 0.19/0.47 pppp6-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp1-{T}(V0,V1,V0), pppp1-{T}(V0,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #68: exists( #20, #64 ), references = 1, size of lhs = 1:
% 0.19/0.47 P_singleton-{F}(V0,V1) | P_set_difference-{T}(V1,V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #69: exists( #20, #65 ), references = 1, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V0), P_singleton-{F}(V0,V2) | P_set_difference-{T}(V2,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #82: exists( #20, #78 ), references = 2, size of lhs = 3:
% 0.19/0.47 P_singleton-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | P_set_difference-{T}(V1,V3,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #83: exists( #20, #79 ), references = 1, size of lhs = 2:
% 0.19/0.47 in-{F}(V0,V1), P_singleton-{F}(V1,V2) | P_set_difference-{T}(V2,V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #90: exists( #19, #88 ), references = 2, size of lhs = 5:
% 0.19/0.47 pppp4-{F}(V0,V1), V0 == V1, P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), V3 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #92: exists( #16, #89 ), references = 1, size of lhs = 3:
% 0.19/0.47 pppp5-{F}(V0), P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1) | pppp4-{T}(V0,V0), pppp4-{T}(V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #96: mergings( V1 == V3, V3 == V4; #93 ), references = 1, size of lhs = 5:
% 0.19/0.47 pppp5-{F}(V0), P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_set_difference-{F}(V1,V1,V3), V3 == V1 | pppp4-{T}(V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #106: mergings( V0 == V1; #104 ), references = 2, size of lhs = 2:
% 0.19/0.47 pppp4-{F}(V0,V0), P_singleton-{F}(V0,V1) | P_set_difference-{T}(V1,V1,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #111: mergings( V1 == V3, V3 == V4; #108 ), references = 1, size of lhs = 5:
% 0.19/0.47 pppp5-{F}(V0), P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_singleton-{F}(V3,V1), in-{F}(V3,V1) | pppp4-{T}(V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #117: exists( #19, #115 ), references = 1, size of lhs = 1:
% 0.19/0.47 pppp5-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #119: exists( #15, #116 ), references = 1, size of lhs = 0:
% 0.19/0.47 FALSE | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of learnt formulas = 14
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 randbase = 1
%------------------------------------------------------------------------------