TSTP Solution File: SET929+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:16:58 EDT 2022
% Result : Theorem 30.74s 30.96s
% Output : Refutation 30.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n010.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 01:23:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 30.74/30.96 GeoParameters:
% 30.74/30.96
% 30.74/30.96 tptp_input = 1
% 30.74/30.96 tptp_output = 0
% 30.74/30.96 nonempty = 1
% 30.74/30.96 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.96 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 30.74/30.96
% 30.74/30.96
% 30.74/30.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.96
% 30.74/30.96 RuleSystem INPUT:
% 30.74/30.96
% 30.74/30.96 Initial Rules:
% 30.74/30.96 #0: input, references = 4, size of lhs = 2:
% 30.74/30.96 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #1: input, references = 4, size of lhs = 3:
% 30.74/30.96 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #2: input, references = 3, size of lhs = 1:
% 30.74/30.96 P_empty_set-{F}(V0) | empty-{T}(V0)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #3: input, references = 3, size of lhs = 1:
% 30.74/30.96 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #4: input, references = 3, size of lhs = 1:
% 30.74/30.96 pppp2-{F}(V0) | empty-{T}(V0)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #5: input, references = 3, size of lhs = 1:
% 30.74/30.96 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #6: input, references = 3, size of lhs = 2:
% 30.74/30.96 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #7: input, references = 3, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #8: input, references = 10, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #9: input, references = 7, size of lhs = 4:
% 30.74/30.96 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #10: input, references = 10, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), subset-{F}(V4,V3) | pppp0-{T}(V1,V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #11: input, references = 6, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), pppp0-{F}(V1,V2,V3) | subset-{T}(V4,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #12: input, references = 10, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | in-{T}(V1,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #13: input, references = 3, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | in-{T}(V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #14: input, references = 6, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), in-{F}(V1,V3), in-{F}(V2,V3) | pppp0-{T}(V1,V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #15: input, references = 4, size of lhs = 1:
% 30.74/30.96 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #16: input, references = 4, size of lhs = 1:
% 30.74/30.96 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V1,V0,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #17: input, references = 4, size of lhs = 1:
% 30.74/30.96 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V2,V3,V1)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #18: input, references = 7, size of lhs = 4:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V3), pppp1-{F}(V0,V1,V2) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #19: input, references = 6, size of lhs = 4:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V5), V5 == V3 | pppp1-{T}(V0,V1,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #20: input, references = 4, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V1,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #21: input, references = 5, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #22: input, references = 7, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), in-{F}(V1,V3), in-{F}(V2,V3) | pppp1-{T}(V1,V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #23: input, references = 6, size of lhs = 2:
% 30.74/30.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #24: input, references = 4, size of lhs = 0:
% 30.74/30.96 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #25: input, references = 8, size of lhs = 2:
% 30.74/30.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 number of initial rules = 26
% 30.74/30.96
% 30.74/30.96 Simplifiers:
% 30.74/30.96 #26: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #27: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #28: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #29: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #30: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #31: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #32: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #33: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #34: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #35: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #36: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #37: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #38: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #39: unsound, references = 3, size of lhs = 3:
% 30.74/30.96 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 number of simplifiers = 14
% 30.74/30.96
% 30.74/30.96 Learnt:
% 30.74/30.96 #41: exists( #25, #9 ), references = 1, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #62: exists( #23, #1 ), references = 2, size of lhs = 1:
% 30.74/30.96 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #131: mergings( V3 == V4, V4 == V5, V5 == V6; #127 ), references = 3, size of lhs = 5:
% 30.74/30.96 P_empty_set-{F}(V0), in-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V5,V3,V4), pppp4-{F}(V5,V3,V2,V6) | P_set_difference-{T}(V4,V2,V0), P_set_difference-{T}(V4,V2,V6)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #154: exists( #25, #152 ), references = 1, size of lhs = 3:
% 30.74/30.96 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V2,V3), P_unordered_pair-{F}(V1,V2,V4) | P_set_difference-{T}(V4,V2,V3)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #314: mergings( V3 == V4, V4 == V5, V5 == V6; #310 ), references = 1, size of lhs = 6:
% 30.74/30.96 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V1,V2), P_unordered_pair-{F}(V1,V3,V4), pppp4-{F}(V1,V3,V5,V6), P_set_difference-{F}(V2,V5,V7), V7 == V0 | P_set_difference-{T}(V4,V5,V6)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #331: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #321 ), references = 1, size of lhs = 6:
% 30.74/30.96 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V1,V2), P_unordered_pair-{F}(V3,V3,V2), P_unordered_pair-{F}(V1,V4,V5), pppp4-{F}(V1,V4,V6,V0), P_unordered_pair-{F}(V3,V7,V5) | P_set_difference-{T}(V2,V6,V0)
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #662: mergings( V31 == V34, V34 == V38, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V1, V1 == V26, V26 == V27, V27 == V28; #634 ), references = 2, size of lhs = 12:
% 30.74/30.96 P_empty_set-{F}(V0), pppp5-{F}(V1,V0,V2), P_unordered_pair-{F}(V1,V1,V3), P_unordered_pair-{F}(V4,V4,V3), P_unordered_pair-{F}(V1,V5,V3), P_unordered_pair-{F}(V1,V6,V3), P_unordered_pair-{F}(V1,V2,V7), P_unordered_pair-{F}(V4,V8,V7), P_unordered_pair-{F}(V2,V9,V7), P_unordered_pair-{F}(V2,V10,V7), P_unordered_pair-{F}(V2,V11,V7), P_unordered_pair-{F}(V2,V12,V7) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #679: exists( #23, #677 ), references = 1, size of lhs = 5:
% 30.74/30.96 P_empty_set-{F}(V0), pppp5-{F}(V1,V0,V2), P_unordered_pair-{F}(V1,V1,V3), P_unordered_pair-{F}(V1,V4,V3), P_unordered_pair-{F}(V1,V5,V3) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #681: exists( #16, #678 ), references = 1, size of lhs = 5:
% 30.74/30.96 P_empty_set-{F}(V0), pppp6-{F}(V0,V1), P_unordered_pair-{F}(V1,V1,V2), P_unordered_pair-{F}(V1,V3,V2), P_unordered_pair-{F}(V1,V4,V2) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #683: exists( #23, #680 ), references = 1, size of lhs = 2:
% 30.74/30.96 P_empty_set-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #685: exists( #15, #682 ), references = 1, size of lhs = 1:
% 30.74/30.96 P_empty_set-{F}(V0) | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 #687: exists( #24, #684 ), references = 1, size of lhs = 0:
% 30.74/30.96 FALSE | FALSE
% 30.74/30.96 (used 0 times, uses = {})
% 30.74/30.96
% 30.74/30.96 number of learnt formulas = 12
% 30.74/30.96
% 30.74/30.96
% 30.74/30.96 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.96
% 30.74/30.96 randbase = 1
%------------------------------------------------------------------------------