TSTP Solution File: SET881+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET881+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 06:16:54 EDT 2022
% Result : Theorem 14.12s 14.35s
% Output : Refutation 14.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 02:06:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.12/14.35 GeoParameters:
% 14.12/14.35
% 14.12/14.35 tptp_input = 1
% 14.12/14.35 tptp_output = 0
% 14.12/14.35 nonempty = 1
% 14.12/14.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.12/14.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.12/14.35
% 14.12/14.35
% 14.12/14.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.12/14.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.12/14.35
% 14.12/14.35 RuleSystem INPUT:
% 14.12/14.35
% 14.12/14.35 Initial Rules:
% 14.12/14.35 #0: input, references = 3, size of lhs = 2:
% 14.12/14.35 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #1: input, references = 4, size of lhs = 3:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #2: input, references = 4, size of lhs = 1:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #3: input, references = 3, size of lhs = 3:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #4: input, references = 6, size of lhs = 2:
% 14.12/14.35 pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #5: input, references = 4, size of lhs = 2:
% 14.12/14.35 pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #6: input, references = 4, size of lhs = 3:
% 14.12/14.35 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp7-{T}(V0,V1,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #7: input, references = 6, size of lhs = 1:
% 14.12/14.35 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #8: input, references = 3, size of lhs = 3:
% 14.12/14.35 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #9: input, references = 4, size of lhs = 1:
% 14.12/14.35 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #10: input, references = 6, size of lhs = 3:
% 14.12/14.35 pppp0-{F}(V0,V1,V2), V2 == V0, V2 == V1 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #11: input, references = 4, size of lhs = 2:
% 14.12/14.35 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #12: input, references = 3, size of lhs = 2:
% 14.12/14.35 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #13: input, references = 3, size of lhs = 1:
% 14.12/14.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #14: input, references = 3, size of lhs = 3:
% 14.12/14.35 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), P_set_difference-{F}(V3,V2,V0) | in-{T}(V1,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #15: input, references = 4, size of lhs = 5:
% 14.12/14.35 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), P_set_difference-{F}(V3,V2,V4), in-{F}(V1,V2), V4 == V0 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #16: input, references = 3, size of lhs = 1:
% 14.12/14.35 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #17: input, references = 3, size of lhs = 1:
% 14.12/14.35 pppp3-{F}(V0) | empty-{T}(V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #18: input, references = 3, size of lhs = 1:
% 14.12/14.35 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #19: input, references = 3, size of lhs = 2:
% 14.12/14.35 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #20: input, references = 4, size of lhs = 1:
% 14.12/14.35 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #21: input, references = 4, size of lhs = 1:
% 14.12/14.35 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V1,V0,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #22: input, references = 4, size of lhs = 4:
% 14.12/14.35 pppp5-{F}(V0,V1,V2), P_singleton-{F}(V0,V3), P_unordered_pair-{F}(V0,V2,V4), P_set_difference-{F}(V3,V4,V1) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #23: input, references = 5, size of lhs = 2:
% 14.12/14.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #24: input, references = 4, size of lhs = 0:
% 14.12/14.35 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #25: input, references = 4, size of lhs = 2:
% 14.12/14.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #26: input, references = 4, size of lhs = 1:
% 14.12/14.35 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 number of initial rules = 27
% 14.12/14.35
% 14.12/14.35 Simplifiers:
% 14.12/14.35 #27: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #28: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #29: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #30: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #31: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #32: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #33: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #34: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #35: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #36: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #37: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #38: unsound, references = 3, size of lhs = 3:
% 14.12/14.35 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 number of simplifiers = 12
% 14.12/14.35
% 14.12/14.35 Learnt:
% 14.12/14.35 #42: disj( #6, input ), references = 1, size of lhs = 3:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp7-{T}(V0,V1,V3)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #53: exists( #23, #1 ), references = 1, size of lhs = 1:
% 14.12/14.35 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #82: exists( #25, #15 ), references = 2, size of lhs = 3:
% 14.12/14.35 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3) | P_set_difference-{T}(V2,V3,V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #125: disj( #9, input ), references = 4, size of lhs = 3:
% 14.12/14.35 pppp2-{F}(V0,V1,V2,V3), V3 == V0, V3 == V1 | in-{T}(V3,V2)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #161: exists( #7, #159 ), references = 2, size of lhs = 2:
% 14.12/14.35 pppp7-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2) | pppp2-{T}(V0,V1,V2,V0), pppp2-{T}(V0,V1,V2,V1), pppp2-{T}(V0,V1,V2,V3), pppp2-{T}(V0,V1,V2,V4)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #175: disj( #173, input, input, input ), references = 1, size of lhs = 8:
% 14.12/14.35 pppp0-{F}(V0,V1,V1), pppp7-{F}(V0,V1,V2), in-{F}(V1,V2), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2), pppp0-{F}(V0,V1,V4), pppp1-{F}(V3,V4,V2), in-{F}(V4,V2) | pppp2-{T}(V0,V1,V2,V0)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #216: disj( #161, input, input, input ), references = 1, size of lhs = 8:
% 14.12/14.35 pppp0-{F}(V0,V1,V0), pppp0-{F}(V0,V1,V1), pppp7-{F}(V0,V1,V2), in-{F}(V0,V2), in-{F}(V1,V2), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2), pppp1-{F}(V4,V3,V2) | pppp2-{T}(V0,V1,V2,V4)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #285: disj( #283, input, input, input ), references = 1, size of lhs = 8:
% 14.12/14.35 pppp0-{F}(V0,V1,V0), pppp7-{F}(V0,V1,V2), in-{F}(V0,V2), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2), pppp0-{F}(V0,V1,V4), pppp1-{F}(V3,V4,V2), in-{F}(V4,V2) | pppp2-{T}(V0,V1,V2,V1)
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #490: exists( #23, #487 ), references = 2, size of lhs = 5:
% 14.12/14.35 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp5-{F}(V1,V0,V3), pppp0-{F}(V1,V3,V4), P_singleton-{F}(V4,V2) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #493: exists( #21, #491 ), references = 1, size of lhs = 3:
% 14.12/14.35 P_empty_set-{F}(V0), pppp6-{F}(V0,V1), P_singleton-{F}(V1,V2) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #495: exists( #26, #492 ), references = 1, size of lhs = 2:
% 14.12/14.35 P_empty_set-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #497: exists( #20, #494 ), references = 1, size of lhs = 1:
% 14.12/14.35 P_empty_set-{F}(V0) | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 #499: exists( #24, #496 ), references = 1, size of lhs = 0:
% 14.12/14.35 FALSE | FALSE
% 14.12/14.35 (used 0 times, uses = {})
% 14.12/14.35
% 14.12/14.35 number of learnt formulas = 13
% 14.12/14.35
% 14.12/14.35
% 14.12/14.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.12/14.35
% 14.12/14.35 randbase = 1
%------------------------------------------------------------------------------