TSTP Solution File: LAT043-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:07:50 EDT 2022
% Result : Unsatisfiable 3.99s 4.17s
% Output : Refutation 3.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n023.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 20:08:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.99/4.17 GeoParameters:
% 3.99/4.17
% 3.99/4.17 tptp_input = 1
% 3.99/4.17 tptp_output = 0
% 3.99/4.17 nonempty = 1
% 3.99/4.17 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/4.17 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.99/4.17
% 3.99/4.17
% 3.99/4.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/4.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/4.17
% 3.99/4.17 RuleSystem INPUT:
% 3.99/4.17
% 3.99/4.17 Initial Rules:
% 3.99/4.17 #0: input, references = 4, size of lhs = 2:
% 3.99/4.17 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #1: input, references = 4, size of lhs = 2:
% 3.99/4.17 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #2: input, references = 4, size of lhs = 3:
% 3.99/4.17 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #3: input, references = 5, size of lhs = 3:
% 3.99/4.17 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #4: input, references = 4, size of lhs = 3:
% 3.99/4.17 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #5: input, references = 4, size of lhs = 3:
% 3.99/4.17 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #6: input, references = 5, size of lhs = 5:
% 3.99/4.17 P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #7: input, references = 4, size of lhs = 5:
% 3.99/4.17 P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #8: input, references = 5, size of lhs = 6:
% 3.99/4.17 P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #9: input, references = 4, size of lhs = 4:
% 3.99/4.17 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V1,V3), V3 == V0 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #10: input, references = 4, size of lhs = 5:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), V4 == V1 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #11: input, references = 4, size of lhs = 5:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), V4 == V2 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #12: input, references = 7, size of lhs = 9:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V8), P_complement-{F}(V2,V6), P_complement-{F}(V3,V7), P_meet-{F}(V6,V7,V8) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #13: input, references = 10, size of lhs = 2:
% 3.99/4.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #14: input, references = 7, size of lhs = 2:
% 3.99/4.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #15: input, references = 11, size of lhs = 1:
% 3.99/4.17 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #16: input, references = 4, size of lhs = 0:
% 3.99/4.17 FALSE | EXISTS V0: P_n1-{T}(V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #17: input, references = 4, size of lhs = 0:
% 3.99/4.17 FALSE | EXISTS V0: P_n0-{T}(V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #18: input, references = 4, size of lhs = 0:
% 3.99/4.17 FALSE | EXISTS V0: P_c-{T}(V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #19: input, references = 5, size of lhs = 0:
% 3.99/4.17 FALSE | EXISTS V0: P_d-{T}(V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 number of initial rules = 20
% 3.99/4.17
% 3.99/4.17 Simplifiers:
% 3.99/4.17 #20: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #21: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #22: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #23: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #24: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #25: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #26: unsound, references = 3, size of lhs = 3:
% 3.99/4.17 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 number of simplifiers = 7
% 3.99/4.17
% 3.99/4.17 Learnt:
% 3.99/4.17 #28: exists( #13, #10 ), references = 8, size of lhs = 3:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V1)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #31: exists( #13, #0 ), references = 3, size of lhs = 1:
% 3.99/4.17 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #34: exists( #14, #1 ), references = 3, size of lhs = 1:
% 3.99/4.17 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #35: exists( #14, #3 ), references = 11, size of lhs = 1:
% 3.99/4.17 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #39: exists( #13, #4 ), references = 20, size of lhs = 1:
% 3.99/4.17 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #42: exists( #14, #5 ), references = 11, size of lhs = 1:
% 3.99/4.17 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #43: exists( #14, #9 ), references = 8, size of lhs = 2:
% 3.99/4.17 P_n1-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V2,V1,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #45: exists( #15, #11 ), references = 1, size of lhs = 3:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_complement-{T}(V3,V2)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #54: mergings( V2 == V3; #52 ), references = 1, size of lhs = 2:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1) | P_complement-{T}(V1,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #57: exists( #13, #2 ), references = 13, size of lhs = 1:
% 3.99/4.17 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #58: exists( #13, #6 ), references = 9, size of lhs = 3:
% 3.99/4.17 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #72: mergings( V2 == V3, V3 == V5, V4 == V6; #68 ), references = 1, size of lhs = 5:
% 3.99/4.17 P_c-{F}(V0), P_n1-{F}(V0), P_complement-{F}(V0,V1), P_n0-{F}(V1), P_d-{F}(V2) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #77: mergings( V1 == V2, V2 == V4, V3 == V5; #73 ), references = 1, size of lhs = 4:
% 3.99/4.17 P_c-{F}(V0), P_n1-{F}(V0), P_complement-{F}(V0,V1), P_n0-{F}(V1) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #93: mergings( V2 == V3, V3 == V5, V4 == V6; #89 ), references = 1, size of lhs = 5:
% 3.99/4.17 P_d-{F}(V0), P_n1-{F}(V0), P_complement-{F}(V0,V1), P_n0-{F}(V1), P_c-{F}(V2) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #103: mergings( V2 == V3, V3 == V5, V4 == V6; #99 ), references = 1, size of lhs = 5:
% 3.99/4.17 P_d-{F}(V0), P_n0-{F}(V0), P_complement-{F}(V0,V1), P_n1-{F}(V1), P_c-{F}(V2) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #112: exists( #13, #110 ), references = 5, size of lhs = 5:
% 3.99/4.17 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V3,V5,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V3,V6,V7) | P_meet-{T}(V3,V0,V7)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #114: exists( #14, #7 ), references = 2, size of lhs = 3:
% 3.99/4.17 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #116: exists( #13, #8 ), references = 2, size of lhs = 4:
% 3.99/4.17 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V4,V5,V6) | P_meet-{T}(V3,V2,V6)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #135: mergings( V2 == V3; #133 ), references = 1, size of lhs = 14:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V1,V1), P_meet-{F}(V3,V1,V1), P_meet-{F}(V2,V4,V5), P_meet-{F}(V3,V4,V6), P_join-{F}(V7,V5,V0), P_meet-{F}(V7,V8,V1), P_join-{F}(V9,V6,V0), P_meet-{F}(V9,V7,V10), P_meet-{F}(V10,V1,V11), P_meet-{F}(V10,V4,V11), P_meet-{F}(V10,V0,V12), P_meet-{F}(V9,V13,V1) | P_complement-{T}(V4,V12)
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #151: mergings( V21 == V22, V3 == V4, V4 == V8, V5 == V9; #146 ), references = 1, size of lhs = 24:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V1,V1), P_meet-{F}(V3,V1,V1), P_c-{F}(V4), P_d-{F}(V5), P_join-{F}(V4,V5,V6), P_meet-{F}(V2,V6,V7), P_meet-{F}(V3,V6,V8), P_complement-{F}(V4,V9), P_join-{F}(V9,V8,V0), P_meet-{F}(V9,V0,V9), P_meet-{F}(V9,V10,V1), P_complement-{F}(V5,V11), P_join-{F}(V11,V7,V0), P_meet-{F}(V11,V12,V1), P_meet-{F}(V11,V1,V13), P_meet-{F}(V9,V13,V14), P_meet-{F}(V11,V15,V16), P_meet-{F}(V9,V16,V17), P_join-{F}(V18,V15,V6), P_meet-{F}(V18,V17,V19), P_meet-{F}(V18,V9,V19), P_join-{F}(V19,V17,V14) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #161: mergings( V17 == V18, V3 == V4, V4 == V7, V5 == V8; #156 ), references = 1, size of lhs = 21:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V1,V1), P_c-{F}(V3), P_join-{F}(V2,V3,V3), P_d-{F}(V4), P_meet-{F}(V4,V1,V1), P_complement-{F}(V3,V5), P_join-{F}(V5,V2,V0), P_meet-{F}(V5,V0,V5), P_meet-{F}(V5,V6,V1), P_complement-{F}(V4,V7), P_join-{F}(V7,V4,V0), P_meet-{F}(V7,V8,V1), P_meet-{F}(V7,V1,V9), P_meet-{F}(V5,V9,V10), P_meet-{F}(V7,V4,V11), P_meet-{F}(V5,V11,V12), P_meet-{F}(V3,V12,V13), P_meet-{F}(V3,V5,V13), P_join-{F}(V13,V12,V10) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #180: mergings( V12 == V13, V14 == V15, V2 == V3, V3 == V4, V4 == V7, V5 == V8; #173 ), references = 1, size of lhs = 14:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V1,V1), P_c-{F}(V3), P_join-{F}(V2,V3,V3), P_d-{F}(V4), P_complement-{F}(V3,V5), P_join-{F}(V5,V2,V0), P_meet-{F}(V5,V0,V5), P_meet-{F}(V5,V6,V1), P_meet-{F}(V5,V1,V7), P_meet-{F}(V3,V7,V8), P_meet-{F}(V3,V5,V8), P_join-{F}(V8,V7,V7) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #199: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V6 == V8; #193 ), references = 1, size of lhs = 6:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_d-{F}(V3) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #206: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V5 == V7; #200 ), references = 1, size of lhs = 5:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #214: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V5 == V7; #208 ), references = 2, size of lhs = 3:
% 3.99/4.17 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V1,V1,V1) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #217: exists( #17, #215 ), references = 1, size of lhs = 1:
% 3.99/4.17 P_n1-{F}(V0) | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 #219: exists( #16, #216 ), references = 1, size of lhs = 0:
% 3.99/4.17 FALSE | FALSE
% 3.99/4.17 (used 0 times, uses = {})
% 3.99/4.17
% 3.99/4.17 number of learnt formulas = 27
% 3.99/4.17
% 3.99/4.17
% 3.99/4.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/4.17
% 3.99/4.17 randbase = 1
%------------------------------------------------------------------------------