TSTP Solution File: LAT037-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:07:49 EDT 2022
% Result : Unsatisfiable 0.77s 0.95s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 20:50:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/0.95 GeoParameters:
% 0.77/0.95
% 0.77/0.95 tptp_input = 1
% 0.77/0.95 tptp_output = 0
% 0.77/0.95 nonempty = 1
% 0.77/0.95 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/0.95
% 0.77/0.95
% 0.77/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95
% 0.77/0.95 RuleSystem INPUT:
% 0.77/0.95
% 0.77/0.95 Initial Rules:
% 0.77/0.95 #0: input, references = 4, size of lhs = 2:
% 0.77/0.95 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #1: input, references = 4, size of lhs = 2:
% 0.77/0.95 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #2: input, references = 3, size of lhs = 3:
% 0.77/0.95 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #3: input, references = 4, size of lhs = 3:
% 0.77/0.95 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #4: input, references = 4, size of lhs = 3:
% 0.77/0.95 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #5: input, references = 5, size of lhs = 3:
% 0.77/0.95 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #6: input, references = 3, size of lhs = 5:
% 0.77/0.95 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
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #7: input, references = 4, size of lhs = 5:
% 0.77/0.95 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
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #8: input, references = 4, size of lhs = 6:
% 0.77/0.95 P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V0,V2,V6), P_meet-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #9: input, references = 5, size of lhs = 6:
% 0.77/0.95 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
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #10: input, references = 4, size of lhs = 3:
% 0.77/0.95 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #11: input, references = 3, size of lhs = 3:
% 0.77/0.95 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #12: input, references = 4, size of lhs = 4:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #13: input, references = 3, size of lhs = 4:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #14: input, references = 3, size of lhs = 8:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V5,V6), P_meet-{F}(V3,V6,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), V7 == V9 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #15: input, references = 4, size of lhs = 6:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), V4 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #16: input, references = 5, size of lhs = 8:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6), V6 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #17: input, references = 4, size of lhs = 9:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V3,V7), V7 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #18: input, references = 4, size of lhs = 10:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V3,V7), P_meet-{F}(V2,V5,V8), V8 == V0 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #19: input, references = 4, size of lhs = 9:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V5), P_join-{F}(V2,V5,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_meet-{F}(V2,V5,V8) | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #20: input, references = 9, size of lhs = 2:
% 0.77/0.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #21: input, references = 6, size of lhs = 2:
% 0.77/0.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #22: input, references = 4, size of lhs = 0:
% 0.77/0.95 FALSE | EXISTS V0: P_n0-{T}(V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #23: input, references = 4, size of lhs = 0:
% 0.77/0.95 FALSE | EXISTS V0: P_n1-{T}(V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #24: input, references = 4, size of lhs = 0:
% 0.77/0.95 FALSE | EXISTS V0: P_xx-{T}(V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #25: input, references = 5, size of lhs = 0:
% 0.77/0.95 FALSE | EXISTS V0: P_yy-{T}(V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #26: input, references = 5, size of lhs = 0:
% 0.77/0.95 FALSE | EXISTS V0: P_zz-{T}(V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 number of initial rules = 27
% 0.77/0.95
% 0.77/0.95 Simplifiers:
% 0.77/0.95 #27: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #28: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #29: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #30: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #31: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #32: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_yy-{F}(V0), P_yy-{F}(V1), V0 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #33: unsound, references = 3, size of lhs = 3:
% 0.77/0.95 P_zz-{F}(V0), P_zz-{F}(V1), V0 == V1 | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 number of simplifiers = 7
% 0.77/0.95
% 0.77/0.95 Learnt:
% 0.77/0.95 #35: exists( #20, #10 ), references = 7, size of lhs = 2:
% 0.77/0.95 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #38: exists( #20, #0 ), references = 2, size of lhs = 1:
% 0.77/0.95 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #39: exists( #20, #12 ), references = 3, size of lhs = 3:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V2,V1,V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #42: exists( #21, #1 ), references = 1, size of lhs = 1:
% 0.77/0.95 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #43: exists( #21, #3 ), references = 7, size of lhs = 1:
% 0.77/0.95 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #45: exists( #20, #4 ), references = 4, size of lhs = 1:
% 0.77/0.95 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #49: exists( #21, #5 ), references = 6, size of lhs = 1:
% 0.77/0.95 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #50: exists( #21, #15 ), references = 5, size of lhs = 4:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3) | P_join-{T}(V2,V3,V1)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #56: mergings( V1 == V2; #54 ), references = 1, size of lhs = 5:
% 0.77/0.95 P_xx-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_yy-{F}(V2), P_join-{F}(V0,V2,V3) | P_zz-{T}(V1)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #74: mergings( V1 == V2; #70 ), references = 1, size of lhs = 3:
% 0.77/0.95 P_xx-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1) | P_yy-{T}(V1)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #76: mergings( V1 == V2; #71 ), references = 1, size of lhs = 4:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_join-{F}(V0,V0,V2) | P_yy-{T}(V1)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #78: mergings( V1 == V2; #72 ), references = 1, size of lhs = 4:
% 0.77/0.95 P_xx-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V1,V1,V2) | P_yy-{T}(V2)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #82: exists( #20, #17 ), references = 3, size of lhs = 7:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6) | P_meet-{T}(V2,V3,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #95: exists( #21, #16 ), references = 1, size of lhs = 6:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5) | P_join-{T}(V2,V5,V1)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #97: exists( #20, #18 ), references = 1, size of lhs = 8:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2), P_yy-{F}(V3), P_join-{F}(V2,V3,V4), P_zz-{F}(V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V3,V7) | P_meet-{T}(V2,V5,V0)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #102: exists( #20, #100 ), references = 1, size of lhs = 4:
% 0.77/0.95 P_n0-{F}(V0), P_meet-{F}(V1,V2,V0), P_join-{F}(V3,V2,V4), P_meet-{F}(V1,V4,V5) | P_meet-{T}(V3,V1,V5)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #123: mergings( V12 == V13, V1 == V3, V3 == V6, V6 == V14, V2 == V4, V4 == V7, V7 == V8, V5 == V11, V10 == V13; #113 ), references = 1, size of lhs = 7:
% 0.77/0.95 P_n1-{F}(V0), P_xx-{F}(V1), P_yy-{F}(V2), P_join-{F}(V2,V1,V0), P_join-{F}(V1,V2,V3), P_n0-{F}(V4), P_meet-{F}(V2,V0,V5) | P_zz-{T}(V5)
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #142: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14; #129 ), references = 1, size of lhs = 3:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1), P_xx-{F}(V2) | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #156: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14; #143 ), references = 1, size of lhs = 2:
% 0.77/0.95 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #165: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #157 ), references = 1, size of lhs = 1:
% 0.77/0.95 P_n0-{F}(V0) | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 #167: exists( #22, #157 ), references = 1, size of lhs = 0:
% 0.77/0.95 FALSE | FALSE
% 0.77/0.95 (used 0 times, uses = {})
% 0.77/0.95
% 0.77/0.95 number of learnt formulas = 21
% 0.77/0.95
% 0.77/0.95
% 0.77/0.95 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95
% 0.77/0.95 randbase = 1
%------------------------------------------------------------------------------