TSTP Solution File: LAT090-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:07:54 EDT 2022
% Result : Unsatisfiable 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n016.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 : Fri Jul 22 21:01:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.53/0.75 GeoParameters:
% 0.53/0.75
% 0.53/0.75 tptp_input = 1
% 0.53/0.75 tptp_output = 0
% 0.53/0.75 nonempty = 1
% 0.53/0.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75
% 0.53/0.75 RuleSystem INPUT:
% 0.53/0.75
% 0.53/0.75 Initial Rules:
% 0.53/0.75 #0: input, references = 4, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #1: input, references = 5, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V0,V2), P_join-{F}(V0,V0,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #2: input, references = 5, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #3: input, references = 7, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V1,V3), P_join-{F}(V2,V0,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V0,V6), V6 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #4: input, references = 8, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V1,V3), P_meet-{F}(V2,V0,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V0,V6), V6 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #5: input, references = 5, size of lhs = 2:
% 0.53/0.75 P_a-{F}(V0), P_join-{F}(V0,V0,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #6: input, references = 14, size of lhs = 2:
% 0.53/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #7: input, references = 24, size of lhs = 2:
% 0.53/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #8: input, references = 4, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of initial rules = 9
% 0.53/0.75
% 0.53/0.75 Simplifiers:
% 0.53/0.75 #9: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #10: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #11: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of simplifiers = 3
% 0.53/0.75
% 0.53/0.75 Learnt:
% 0.53/0.75 #14: exists( #6, #0 ), references = 10, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4) | P_join-{T}(V2,V4,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #15: exists( #6, #2 ), references = 6, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4) | P_join-{T}(V2,V4,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #19: exists( #7, #16 ), references = 2, size of lhs = 6:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), P_meet-{F}(V6,V3,V7), V7 == V3 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #21: exists( #7, #18 ), references = 4, size of lhs = 4:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6) | P_meet-{T}(V6,V3,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #25: exists( #7, #23 ), references = 3, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V5,V0,V4) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #28: exists( #7, #26 ), references = 3, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2), P_join-{F}(V1,V3,V5), V5 == V3 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #30: exists( #6, #27 ), references = 3, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V1,V3,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #35: exists( #7, #33 ), references = 1, size of lhs = 4:
% 0.53/0.75 P_a-{F}(V0), P_join-{F}(V1,V0,V0), P_meet-{F}(V1,V1,V0), P_join-{F}(V2,V1,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #43: exists( #7, #25 ), references = 2, size of lhs = 3:
% 0.53/0.75 P_join-{F}(V0,V1,V0), P_join-{F}(V0,V0,V2), V2 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #50: exists( #7, #48 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V4,V1), V3 == V0, P_join-{F}(V3,V4,V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #56: exists( #7, #54 ), references = 1, size of lhs = 9:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V7), P_meet-{F}(V5,V8,V0), P_meet-{F}(V8,V9,V3), P_join-{F}(V10,V8,V9) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #58: exists( #6, #1 ), references = 2, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V1,V4,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #69: exists( #7, #65 ), references = 2, size of lhs = 12:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_join-{F}(V4,V3,V0), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V7), P_meet-{F}(V5,V8,V4), P_meet-{F}(V8,V9,V3), P_join-{F}(V10,V8,V9), P_join-{F}(V1,V11,V12), P_meet-{F}(V12,V0,V13), P_meet-{F}(V13,V1,V14), V14 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #72: exists( #7, #70 ), references = 1, size of lhs = 11:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V5,V2), P_meet-{F}(V7,V8,V5), P_join-{F}(V7,V8,V9), P_meet-{F}(V7,V10,V6), P_meet-{F}(V10,V11,V5), P_join-{F}(V12,V10,V11) | P_meet-{T}(V3,V1,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #83: mergings( V6 == V7; #79 ), references = 1, size of lhs = 9:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V2,V4), P_join-{F}(V2,V4,V5), V5 == V4, P_join-{F}(V6,V2,V4) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #85: mergings( V4 == V7; #80 ), references = 1, size of lhs = 12:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V4,V1), P_join-{F}(V2,V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V7,V2,V5), P_meet-{F}(V8,V9,V1), P_join-{F}(V8,V9,V3), P_join-{F}(V9,V3,V10), V10 == V3 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #88: exists( #6, #79 ), references = 1, size of lhs = 7:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V2,V4), P_join-{F}(V5,V2,V4) | P_join-{T}(V2,V4,V4)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #90: mergings( V4 == V5; #87 ), references = 1, size of lhs = 9:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V4,V1), P_join-{F}(V2,V4,V3), P_join-{F}(V5,V2,V3), P_meet-{F}(V6,V2,V1), P_join-{F}(V6,V2,V3) | P_join-{T}(V2,V3,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #93: exists( #7, #3 ), references = 7, size of lhs = 3:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V0,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #109: exists( #7, #107 ), references = 2, size of lhs = 6:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V0,V7), P_join-{F}(V7,V0,V8), V8 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #115: exists( #7, #113 ), references = 2, size of lhs = 8:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V0,V3,V3), P_join-{F}(V0,V0,V4), V4 == V0, P_join-{F}(V0,V5,V6), P_join-{F}(V7,V0,V8) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #119: mergings( V2 == V3; #117 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V1,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #128: exists( #7, #124 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V2,V0), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V4,V2), P_join-{F}(V5,V0,V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #131: exists( #7, #126 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V2,V0), P_join-{F}(V0,V3,V2), P_join-{F}(V4,V0,V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #133: exists( #7, #69 ), references = 1, size of lhs = 10:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_join-{F}(V4,V3,V0), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V7), P_meet-{F}(V5,V8,V4), P_meet-{F}(V8,V9,V3), P_join-{F}(V10,V8,V9), P_join-{F}(V1,V11,V12), P_meet-{F}(V12,V0,V13) | P_meet-{T}(V13,V1,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #143: exists( #7, #138 ), references = 2, size of lhs = 7:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V4,V5,V0), P_meet-{F}(V0,V4,V6), P_join-{F}(V0,V6,V7), V7 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #144: exists( #7, #139 ), references = 1, size of lhs = 7:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V2,V0,V3), V3 == V0, P_join-{F}(V4,V2,V0), P_meet-{F}(V0,V5,V2), P_join-{F}(V6,V0,V5), P_join-{F}(V2,V7,V6) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #147: exists( #6, #141 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V4,V5,V0), P_meet-{F}(V0,V4,V6) | P_join-{T}(V0,V6,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #148: exists( #6, #142 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V0), P_meet-{F}(V0,V4,V2), P_join-{F}(V5,V0,V4), P_join-{F}(V2,V6,V5) | P_join-{T}(V2,V0,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #150: exists( #6, #4 ), references = 5, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V0,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #161: exists( #6, #159 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V6,V0,V7), P_meet-{F}(V7,V0,V8), V8 == V0 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #169: exists( #6, #167 ), references = 1, size of lhs = 7:
% 0.53/0.75 P_meet-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7), P_meet-{F}(V8,V0,V7), P_join-{F}(V0,V9,V8) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #183: mergings( V0 == V1; #180 ), references = 1, size of lhs = 3:
% 0.53/0.75 P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_meet-{F}(V2,V0,V0) | P_join-{T}(V0,V0,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #189: exists( #7, #187 ), references = 1, size of lhs = 12:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V6,V3), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_join-{F}(V6,V8,V9), P_join-{F}(V10,V6,V8), P_join-{F}(V0,V11,V12), P_join-{F}(V13,V0,V14) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #191: exists( #6, #188 ), references = 1, size of lhs = 11:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V6,V3), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_join-{F}(V9,V6,V8), P_join-{F}(V0,V10,V11), P_join-{F}(V12,V0,V13) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #194: mergings( V2 == V3; #192 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V0,V1), P_join-{F}(V0,V3,V4), P_join-{F}(V5,V0,V6) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #196: exists( #6, #192 ), references = 2, size of lhs = 1:
% 0.53/0.75 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #199: exists( #8, #197 ), references = 1, size of lhs = 0:
% 0.53/0.75 FALSE | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of learnt formulas = 38
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75
% 0.53/0.75 randbase = 1
%------------------------------------------------------------------------------