TSTP Solution File: SEU319+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:17:48 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 : Fri Jul 22 19:38:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 4, size of lhs = 7:
% 0.19/0.51 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), top_str-{F}(V0), P_subset_difference-{F}(V1,V3,V4,V5), element-{F}(V4,V2), closed_subset-{F}(V4,V0) | open_subset-{T}(V5,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 4, size of lhs = 7:
% 0.19/0.51 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), top_str-{F}(V0), P_subset_difference-{F}(V1,V3,V4,V5), element-{F}(V4,V2), open_subset-{F}(V5,V0) | closed_subset-{T}(V4,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V0) | element-{T}(V1,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 3, size of lhs = 3:
% 0.19/0.51 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), element-{F}(V1,V2) | element-{T}(V3,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 3, size of lhs = 4:
% 0.19/0.51 P_powerset-{F}(V0,V2), element-{F}(V1,V2), P_subset_difference-{F}(V0,V3,V1,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 4, size of lhs = 1:
% 0.19/0.51 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 3, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 3, size of lhs = 1:
% 0.19/0.51 pppp0-{F}(V0) | top_str-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 3, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 3, size of lhs = 1:
% 0.19/0.51 pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 3, size of lhs = 1:
% 0.19/0.51 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 4, size of lhs = 5:
% 0.19/0.51 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), P_subset_complement-{F}(V0,V3,V4), element-{F}(V1,V2), V4 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 5, size of lhs = 6:
% 0.19/0.51 P_powerset-{F}(V0,V2), element-{F}(V1,V2), P_subset_difference-{F}(V0,V3,V1,V4), P_set_difference-{F}(V3,V1,V5), element-{F}(V3,V2), V4 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | subset-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 4, size of lhs = 8:
% 0.19/0.51 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), one_sorted_str-{F}(V0), P_subset_complement-{F}(V1,V4,V5), P_subset_difference-{F}(V1,V3,V4,V6), element-{F}(V4,V2), V5 == V6 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 4, size of lhs = 3:
% 0.19/0.51 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: input, references = 4, size of lhs = 3:
% 0.19/0.51 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: input, references = 4, size of lhs = 2:
% 0.19/0.51 pppp4-{F}(V0,V1,V2,V3), P_subset_complement-{F}(V1,V3,V4) | pppp3-{T}(V0,V3,V2,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: input, references = 5, size of lhs = 3:
% 0.19/0.51 pppp3-{F}(V0,V1,V2,V3), open_subset-{F}(V3,V0), closed_subset-{F}(V1,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: input, references = 4, size of lhs = 1:
% 0.19/0.51 pppp3-{F}(V0,V1,V2,V3) | closed_subset-{T}(V1,V0), open_subset-{T}(V3,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: input, references = 4, size of lhs = 1:
% 0.19/0.51 pppp3-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: input, references = 3, size of lhs = 2:
% 0.19/0.51 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: input, references = 3, size of lhs = 2:
% 0.19/0.51 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #25: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #26: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #27: input, references = 5, size of lhs = 3:
% 0.19/0.51 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_subset_difference-{T}(V0,V1,V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #28: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: input, references = 5, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: input, references = 4, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 31
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 open_subset-{F}(V0,V1), open_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_subset_difference-{F}(V0,V1,V2,V3), P_subset_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 17
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #49: exists( #27, #13 ), references = 2, size of lhs = 4:
% 0.19/0.51 P_powerset-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_difference-{F}(V3,V2,V4) | P_subset_difference-{T}(V0,V3,V2,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #54: mergings( V5 == V6; #52 ), references = 2, size of lhs = 7:
% 0.19/0.51 one_sorted_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_cast_as_carrier_subset-{F}(V0,V4), element-{F}(V4,V2), P_subset_complement-{F}(V1,V3,V5) | P_set_difference-{T}(V4,V3,V5)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #57: exists( #29, #12 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_powerset-{F}(V0,V1), element-{F}(V2,V1), P_subset_complement-{F}(V0,V2,V3) | P_subset_complement-{T}(V0,V3,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #61: disj( #21, #1+#20 ), references = 2, size of lhs = 8:
% 0.19/0.51 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), element-{F}(V4,V2), P_subset_difference-{F}(V1,V3,V4,V5), pppp3-{F}(V0,V4,V6,V5), pppp3-{F}(V0,V7,V8,V5) | closed_subset-{T}(V7,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #74: exists( #29, #72 ), references = 1, size of lhs = 10:
% 0.19/0.51 one_sorted_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), element-{F}(V3,V2), top_str-{F}(V4), P_cast_as_carrier_subset-{F}(V4,V3), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V2), pppp4-{F}(V4,V1,V2,V6) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #77: mergings( V1 == V6; #75 ), references = 1, size of lhs = 9:
% 0.19/0.51 pppp5-{F}(V0), top_str-{F}(V0), one_sorted_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_the_carrier-{F}(V0,V2), P_cast_as_carrier_subset-{F}(V1,V3), P_cast_as_carrier_subset-{F}(V0,V3), element-{F}(V3,V4), P_powerset-{F}(V2,V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #82: mergings( V2 == V4, V4 == V5; #79 ), references = 2, size of lhs = 5:
% 0.19/0.51 pppp5-{F}(V0), top_str-{F}(V0), one_sorted_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #91: exists( #25, #89 ), references = 1, size of lhs = 2:
% 0.19/0.51 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #93: exists( #26, #90 ), references = 1, size of lhs = 1:
% 0.19/0.51 pppp5-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #95: exists( #16, #92 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 10
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------