TSTP Solution File: SET900+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 01:49:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 GeoParameters:
% 0.12/0.34
% 0.12/0.34 tptp_input = 1
% 0.12/0.34 tptp_output = 0
% 0.12/0.34 nonempty = 1
% 0.12/0.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.34
% 0.12/0.34
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 RuleSystem INPUT:
% 0.12/0.34
% 0.12/0.34 Initial Rules:
% 0.12/0.34 #0: input, references = 3, size of lhs = 2:
% 0.12/0.34 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #1: input, references = 3, size of lhs = 1:
% 0.12/0.34 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #2: input, references = 3, size of lhs = 1:
% 0.12/0.34 P_empty_set-{F}(V0) | EXISTS V1: pppp0-{T}(V1)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #3: input, references = 3, size of lhs = 1:
% 0.12/0.34 pppp0-{F}(V0) | empty-{T}(V0)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #4: input, references = 3, size of lhs = 1:
% 0.12/0.34 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #5: input, references = 3, size of lhs = 2:
% 0.12/0.34 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #6: input, references = 4, size of lhs = 1:
% 0.12/0.34 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #7: input, references = 4, size of lhs = 1:
% 0.12/0.34 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #8: input, references = 4, size of lhs = 1:
% 0.12/0.34 pppp3-{F}(V1,V1) | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #9: input, references = 4, size of lhs = 4:
% 0.12/0.34 pppp2-{F}(V0,V1), P_singleton-{F}(V1,V2), in-{F}(V3,V0), V3 == V1 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #10: input, references = 4, size of lhs = 2:
% 0.12/0.34 pppp2-{F}(V2,V1), P_singleton-{F}(V1,V2) | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #11: input, references = 4, size of lhs = 5:
% 0.12/0.34 P_empty_set-{F}(V0), #-{F} V1, P_singleton-{F}(V2,V3), V1 == V0, V1 == V3 | EXISTS V4: pppp4-{T}(V1,V2,V4)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #12: input, references = 4, size of lhs = 1:
% 0.12/0.34 pppp4-{F}(V0,V1,V1) | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #13: input, references = 4, size of lhs = 1:
% 0.12/0.34 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #14: input, references = 4, size of lhs = 0:
% 0.12/0.34 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #15: input, references = 4, size of lhs = 1:
% 0.12/0.34 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 number of initial rules = 16
% 0.12/0.34
% 0.12/0.34 Simplifiers:
% 0.12/0.34 #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.34 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 number of simplifiers = 8
% 0.12/0.34
% 0.12/0.34 Learnt:
% 0.12/0.34 #28: exists( #11, #26 ), references = 1, size of lhs = 6:
% 0.12/0.34 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp2-{F}(V3,V4), V3 == V0, V3 == V2, P_singleton-{F}(V4,V5) | pppp4-{T}(V3,V1,V4)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #31: exists( #15, #29 ), references = 1, size of lhs = 3:
% 0.12/0.34 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V0 | P_singleton-{T}(V2,V1)
% 0.12/0.34 (used 0 times, uses = {})
% 0.12/0.34
% 0.12/0.34 #34: exists( #7, #32 ), references = 1, size of lhs = 3:
% 0.12/0.34 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), V1 == V0 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #37: mergings( V0 == V2; #35 ), references = 1, size of lhs = 1:
% 0.12/0.35 P_empty_set-{F}(V0) | pppp3-{T}(V0,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #40: exists( #14, #38 ), references = 1, size of lhs = 0:
% 0.12/0.35 FALSE | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of learnt formulas = 5
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 randbase = 1
%------------------------------------------------------------------------------