TSTP Solution File: SEU167+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 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 06:17:23 EDT 2022
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % 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 18:48:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.83 GeoParameters:
% 0.61/0.83
% 0.61/0.83 tptp_input = 1
% 0.61/0.83 tptp_output = 0
% 0.61/0.83 nonempty = 1
% 0.61/0.83 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.61/0.83
% 0.61/0.83
% 0.61/0.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83
% 0.61/0.83 RuleSystem INPUT:
% 0.61/0.83
% 0.61/0.83 Initial Rules:
% 0.61/0.83 #0: input, references = 3, size of lhs = 0:
% 0.61/0.83 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #1: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp0-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #2: input, references = 3, size of lhs = 0:
% 0.61/0.83 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #3: input, references = 3, size of lhs = 2:
% 0.61/0.83 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #4: input, references = 4, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | subset-{T}(V0,V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #5: input, references = 6, size of lhs = 5:
% 0.61/0.83 subset-{F}(V0,V1), P_cartesian_product2-{F}(V0,V2,V3), P_cartesian_product2-{F}(V1,V2,V4), P_cartesian_product2-{F}(V2,V0,V5), P_cartesian_product2-{F}(V2,V1,V6) | subset-{T}(V3,V4)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #6: input, references = 5, size of lhs = 5:
% 0.61/0.83 subset-{F}(V0,V1), P_cartesian_product2-{F}(V0,V2,V3), P_cartesian_product2-{F}(V1,V2,V4), P_cartesian_product2-{F}(V2,V0,V5), P_cartesian_product2-{F}(V2,V1,V6) | subset-{T}(V5,V6)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #7: input, references = 4, size of lhs = 0:
% 0.61/0.83 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #8: input, references = 4, size of lhs = 1:
% 0.61/0.83 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #9: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #10: input, references = 4, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #11: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V3,V2,V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #12: input, references = 8, size of lhs = 4:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5), subset-{F}(V4,V5) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #13: input, references = 6, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5) | subset-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #14: input, references = 4, size of lhs = 2:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V2,V0) | subset-{T}(V2,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #15: input, references = 21, size of lhs = 2:
% 0.61/0.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of initial rules = 16
% 0.61/0.83
% 0.61/0.83 Simplifiers:
% 0.61/0.83 #16: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #17: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #18: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #19: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #20: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #21: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #22: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #23: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #24: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #25: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #26: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #27: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #28: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #29: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of simplifiers = 14
% 0.61/0.83
% 0.61/0.83 Learnt:
% 0.61/0.83 #32: exists( #15, #30 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0,V0,V1,V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #39: mergings( V3 == V8, V2 == V7, V4 == V5; #35 ), references = 1, size of lhs = 4:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V0,V3), pppp2-{F}(V1,V0,V1,V4), P_cartesian_product2-{F}(V0,V4,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #44: mergings( V3 == V7, V1 == V6, V4 == V5; #40 ), references = 1, size of lhs = 3:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V1,V3), P_cartesian_product2-{F}(V0,V3,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #46: exists( #15, #40 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0,V1,V0,V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #57: mergings( V4 == V10, V3 == V9, V5 == V6; #53 ), references = 1, size of lhs = 5:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V0,V3), P_cartesian_product2-{F}(V0,V4,V2), pppp2-{F}(V5,V0,V1,V4), P_cartesian_product2-{F}(V1,V5,V6) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #62: mergings( V6 == V9, V3 == V8, V7 == V4; #58 ), references = 1, size of lhs = 4:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V0,V3), P_cartesian_product2-{F}(V0,V4,V2), pppp2-{F}(V5,V0,V1,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #67: mergings( V5 == V8, V1 == V7, V6 == V3; #63 ), references = 1, size of lhs = 3:
% 0.61/0.83 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V2), pppp2-{F}(V4,V0,V1,V3) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #69: exists( #15, #63 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0,V1,V2,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #71: exists( #11, #68 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp3-{F}(V0,V0,V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #73: exists( #9, #70 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0,V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #76: exists( #15, #74 ), references = 2, size of lhs = 7:
% 0.61/0.83 subset-{F}(V0,V1), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V0,V4), P_cartesian_product2-{F}(V2,V1,V5), P_cartesian_product2-{F}(V6,V7,V4), pppp2-{F}(V6,V8,V7,V9), P_cartesian_product2-{F}(V8,V9,V5) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #86: mergings( V5 == V9; #84 ), references = 1, size of lhs = 10:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V2,V3), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V1,V5), P_cartesian_product2-{F}(V2,V0,V6), P_cartesian_product2-{F}(V3,V0,V7), P_cartesian_product2-{F}(V0,V2,V8), P_cartesian_product2-{F}(V9,V10,V8), pppp2-{F}(V9,V11,V10,V12), P_cartesian_product2-{F}(V11,V12,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #88: exists( #15, #84 ), references = 2, size of lhs = 9:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V2,V3), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V1,V5), P_cartesian_product2-{F}(V2,V0,V6), P_cartesian_product2-{F}(V0,V2,V7), P_cartesian_product2-{F}(V8,V9,V7), pppp2-{F}(V8,V10,V9,V11), P_cartesian_product2-{F}(V10,V11,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #90: exists( #15, #87 ), references = 1, size of lhs = 6:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V0,V2), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V1,V4), pppp2-{F}(V0,V5,V0,V6), P_cartesian_product2-{F}(V5,V6,V3) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #92: exists( #15, #76 ), references = 1, size of lhs = 5:
% 0.61/0.83 subset-{F}(V0,V1), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V1,V4), pppp2-{F}(V2,V5,V0,V6), P_cartesian_product2-{F}(V5,V6,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #95: exists( #15, #88 ), references = 1, size of lhs = 7:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V2,V3), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V1,V5), P_cartesian_product2-{F}(V2,V0,V6), pppp2-{F}(V0,V7,V2,V8), P_cartesian_product2-{F}(V7,V8,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #98: exists( #15, #93 ), references = 2, size of lhs = 6:
% 0.61/0.83 subset-{F}(V0,V1), subset-{F}(V2,V3), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V1,V5), pppp2-{F}(V0,V6,V2,V7), P_cartesian_product2-{F}(V6,V7,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #113: mergings( V1 == V3, V8 == V11, V5 == V10, V9 == V6; #106 ), references = 1, size of lhs = 5:
% 0.61/0.83 subset-{F}(V0,V1), P_cartesian_product2-{F}(V2,V1,V3), P_cartesian_product2-{F}(V1,V2,V4), P_cartesian_product2-{F}(V2,V5,V3), pppp2-{F}(V6,V2,V0,V5) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #116: mergings( V5 == V7; #114 ), references = 2, size of lhs = 5:
% 0.61/0.83 subset-{F}(V0,V1), pppp3-{F}(V0,V2,V3), P_cartesian_product2-{F}(V3,V1,V4), P_cartesian_product2-{F}(V3,V2,V4), P_cartesian_product2-{F}(V1,V3,V5) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #118: exists( #15, #116 ), references = 2, size of lhs = 4:
% 0.61/0.83 subset-{F}(V0,V1), pppp3-{F}(V0,V2,V3), P_cartesian_product2-{F}(V3,V1,V4), P_cartesian_product2-{F}(V3,V2,V4) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #120: exists( #15, #118 ), references = 1, size of lhs = 2:
% 0.61/0.83 subset-{F}(V0,V1), pppp3-{F}(V0,V1,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #122: exists( #9, #119 ), references = 1, size of lhs = 2:
% 0.61/0.83 pppp4-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #125: exists( #8, #123 ), references = 1, size of lhs = 1:
% 0.61/0.83 pppp5-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #127: exists( #7, #124 ), references = 1, size of lhs = 0:
% 0.61/0.83 FALSE | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of learnt formulas = 24
% 0.61/0.83
% 0.61/0.83
% 0.61/0.83 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83
% 0.61/0.83 randbase = 1
%------------------------------------------------------------------------------