TSTP Solution File: LAT032-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 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 06:07:49 EDT 2022
% Result : Unsatisfiable 16.26s 16.44s
% Output : Refutation 16.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 20:45:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.26/16.44 GeoParameters:
% 16.26/16.44
% 16.26/16.44 tptp_input = 1
% 16.26/16.44 tptp_output = 0
% 16.26/16.44 nonempty = 1
% 16.26/16.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.26/16.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 16.26/16.44
% 16.26/16.44
% 16.26/16.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.26/16.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.26/16.44
% 16.26/16.44 RuleSystem INPUT:
% 16.26/16.44
% 16.26/16.44 Initial Rules:
% 16.26/16.44 #0: input, references = 4, size of lhs = 2:
% 16.26/16.44 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #1: input, references = 4, size of lhs = 2:
% 16.26/16.44 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #2: input, references = 4, size of lhs = 3:
% 16.26/16.44 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #3: input, references = 4, size of lhs = 3:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #4: input, references = 4, size of lhs = 3:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #5: input, references = 4, size of lhs = 3:
% 16.26/16.44 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #6: input, references = 4, size of lhs = 5:
% 16.26/16.44 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
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #7: input, references = 3, size of lhs = 5:
% 16.26/16.44 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
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #8: input, references = 6, size of lhs = 6:
% 16.26/16.44 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
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #9: input, references = 8, size of lhs = 8:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V7), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V7) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #10: input, references = 18, size of lhs = 2:
% 16.26/16.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #11: input, references = 14, size of lhs = 2:
% 16.26/16.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #12: input, references = 4, size of lhs = 0:
% 16.26/16.44 FALSE | EXISTS V0: P_xx-{T}(V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #13: input, references = 4, size of lhs = 0:
% 16.26/16.44 FALSE | EXISTS V0: P_yy-{T}(V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #14: input, references = 5, size of lhs = 0:
% 16.26/16.44 FALSE | EXISTS V0: P_zz-{T}(V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 number of initial rules = 15
% 16.26/16.44
% 16.26/16.44 Simplifiers:
% 16.26/16.44 #15: unsound, references = 3, size of lhs = 3:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #16: unsound, references = 3, size of lhs = 3:
% 16.26/16.44 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #17: unsound, references = 3, size of lhs = 3:
% 16.26/16.44 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #18: unsound, references = 3, size of lhs = 3:
% 16.26/16.44 P_yy-{F}(V0), P_yy-{F}(V1), V0 == V1 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #19: unsound, references = 3, size of lhs = 3:
% 16.26/16.44 P_zz-{F}(V0), P_zz-{F}(V1), V0 == V1 | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 number of simplifiers = 5
% 16.26/16.44
% 16.26/16.44 Learnt:
% 16.26/16.44 #21: exists( #10, #0 ), references = 3, size of lhs = 1:
% 16.26/16.44 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #24: exists( #11, #1 ), references = 1, size of lhs = 1:
% 16.26/16.44 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #25: exists( #11, #3 ), references = 13, size of lhs = 1:
% 16.26/16.44 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #27: exists( #10, #4 ), references = 26, size of lhs = 1:
% 16.26/16.44 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #31: exists( #11, #5 ), references = 29, size of lhs = 1:
% 16.26/16.44 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #35: exists( #10, #6 ), references = 16, size of lhs = 3:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #39: exists( #10, #2 ), references = 5, size of lhs = 1:
% 16.26/16.44 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #43: exists( #11, #41 ), references = 1, size of lhs = 6:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V0), P_zz-{F}(V1), P_meet-{F}(V0,V0,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V2,V3,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #47: exists( #10, #45 ), references = 1, size of lhs = 4:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V0), P_meet-{F}(V0,V0,V0), P_zz-{F}(V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #49: exists( #14, #46 ), references = 1, size of lhs = 3:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #61: exists( #10, #8 ), references = 10, size of lhs = 4:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5), P_join-{F}(V3,V1,V6) | P_meet-{T}(V5,V6,V4)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #68: exists( #11, #8 ), references = 9, size of lhs = 4:
% 16.26/16.44 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V3,V1,V5), P_meet-{F}(V4,V5,V6) | P_join-{T}(V3,V2,V6)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #75: exists( #10, #73 ), references = 2, size of lhs = 9:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V0,V2,V5), P_join-{F}(V5,V6,V0), P_meet-{F}(V6,V7,V4), P_join-{F}(V5,V7,V3) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #77: exists( #10, #74 ), references = 1, size of lhs = 7:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V0,V0), P_join-{F}(V4,V1,V3) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #80: exists( #11, #78 ), references = 1, size of lhs = 5:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V2), P_join-{F}(V2,V0,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #113: exists( #10, #111 ), references = 1, size of lhs = 7:
% 16.26/16.44 P_join-{F}(V0,V1,V1), P_join-{F}(V0,V2,V2), P_meet-{F}(V2,V3,V0), P_join-{F}(V3,V1,V4), P_join-{F}(V3,V2,V5), P_meet-{F}(V4,V5,V6), P_meet-{F}(V2,V6,V7) | P_meet-{T}(V1,V2,V7)
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #151: exists( #11, #147 ), references = 4, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V0,V2,V5), P_join-{F}(V4,V5,V6), P_meet-{F}(V7,V0,V6), P_join-{F}(V8,V9,V3), P_meet-{F}(V9,V0,V10), P_join-{F}(V8,V10,V7) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #152: exists( #11, #148 ), references = 1, size of lhs = 12:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V0,V2,V5), P_join-{F}(V5,V6,V0), P_join-{F}(V5,V7,V3), P_meet-{F}(V8,V6,V4), P_join-{F}(V9,V10,V7), P_meet-{F}(V10,V6,V11), P_join-{F}(V9,V11,V8) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #159: exists( #10, #156 ), references = 1, size of lhs = 10:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V0,V0), P_join-{F}(V4,V5,V3), P_join-{F}(V6,V7,V5), P_meet-{F}(V7,V0,V8), P_join-{F}(V6,V8,V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #160: exists( #10, #155 ), references = 1, size of lhs = 10:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V0,V0), P_join-{F}(V4,V1,V1), P_join-{F}(V5,V6,V3), P_meet-{F}(V6,V0,V7), P_join-{F}(V5,V7,V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #169: exists( #11, #166 ), references = 1, size of lhs = 8:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V0,V0), P_join-{F}(V3,V1,V1), P_meet-{F}(V2,V0,V4), P_join-{F}(V1,V4,V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #170: exists( #11, #165 ), references = 1, size of lhs = 12:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V0,V0), P_meet-{F}(V2,V0,V4), P_join-{F}(V1,V4,V1), P_meet-{F}(V2,V5,V6), P_join-{F}(V1,V6,V7), P_join-{F}(V1,V5,V8), P_meet-{F}(V7,V9,V3), P_meet-{F}(V8,V9,V10) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #196: exists( #10, #192 ), references = 1, size of lhs = 8:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V2,V4), P_meet-{F}(V5,V0,V4), P_meet-{F}(V6,V5,V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #197: exists( #10, #193 ), references = 1, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V4,V0,V4), P_meet-{F}(V3,V0,V4), P_meet-{F}(V3,V5,V5), P_meet-{F}(V5,V1,V1), P_meet-{F}(V6,V0,V4), P_meet-{F}(V7,V6,V1) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #227: exists( #10, #223 ), references = 2, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V2,V5), P_meet-{F}(V0,V6,V5), P_join-{F}(V6,V0,V7), P_join-{F}(V6,V1,V8), P_meet-{F}(V7,V8,V9), P_meet-{F}(V0,V9,V4) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #228: exists( #10, #224 ), references = 3, size of lhs = 14:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V5,V0,V6), P_join-{F}(V5,V1,V7), P_meet-{F}(V6,V7,V8), P_meet-{F}(V0,V8,V9), P_meet-{F}(V10,V0,V9), P_join-{F}(V11,V12,V3), P_meet-{F}(V12,V0,V13), P_join-{F}(V11,V13,V10) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #245: exists( #11, #240 ), references = 1, size of lhs = 10:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V0,V2,V5), P_join-{F}(V4,V6,V0), P_meet-{F}(V6,V5,V5), P_join-{F}(V4,V7,V3), P_meet-{F}(V7,V0,V5) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #246: exists( #11, #242 ), references = 1, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V0), P_join-{F}(V1,V6,V3), P_meet-{F}(V6,V0,V7), P_meet-{F}(V0,V7,V4), P_join-{F}(V7,V0,V0), P_meet-{F}(V5,V7,V7) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #288: exists( #10, #283 ), references = 1, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V5,V0,V6), P_join-{F}(V5,V1,V7), P_meet-{F}(V6,V8,V0), P_meet-{F}(V8,V3,V7) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #289: exists( #10, #285 ), references = 1, size of lhs = 14:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V5,V0,V6), P_join-{F}(V5,V1,V7), P_meet-{F}(V6,V8,V0), P_meet-{F}(V8,V9,V7), P_join-{F}(V10,V11,V3), P_meet-{F}(V11,V0,V12), P_join-{F}(V10,V12,V9) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #298: exists( #11, #294 ), references = 1, size of lhs = 12:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V0,V6,V4), P_join-{F}(V6,V0,V7), P_meet-{F}(V5,V8,V6), P_join-{F}(V1,V8,V9), P_meet-{F}(V7,V9,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #299: exists( #11, #295 ), references = 1, size of lhs = 13:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V5,V0,V6), P_meet-{F}(V0,V6,V4), P_join-{F}(V6,V0,V7), P_meet-{F}(V6,V8,V6), P_join-{F}(V1,V8,V9), P_meet-{F}(V7,V9,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #313: exists( #11, #309 ), references = 1, size of lhs = 13:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V0,V6,V4), P_join-{F}(V6,V0,V7), P_meet-{F}(V5,V8,V6), P_join-{F}(V8,V9,V7), P_meet-{F}(V9,V1,V10), P_join-{F}(V8,V10,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #314: exists( #11, #310 ), references = 1, size of lhs = 15:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V5,V0,V6), P_meet-{F}(V0,V6,V4), P_join-{F}(V6,V0,V7), P_meet-{F}(V0,V8,V6), P_meet-{F}(V7,V8,V6), P_join-{F}(V9,V10,V7), P_meet-{F}(V10,V1,V11), P_join-{F}(V9,V11,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #325: exists( #10, #321 ), references = 1, size of lhs = 11:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V1,V6,V6), P_meet-{F}(V5,V0,V7), P_meet-{F}(V0,V7,V4), P_join-{F}(V7,V0,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #326: exists( #10, #322 ), references = 1, size of lhs = 12:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V5,V3), P_meet-{F}(V5,V0,V6), P_meet-{F}(V0,V6,V4), P_join-{F}(V6,V0,V0), P_meet-{F}(V0,V7,V6), P_meet-{F}(V1,V8,V8) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #331: exists( #11, #327 ), references = 1, size of lhs = 9:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V1,V4,V4), P_meet-{F}(V2,V0,V5), P_meet-{F}(V0,V5,V3), P_join-{F}(V5,V0,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #332: exists( #11, #328 ), references = 1, size of lhs = 10:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V4), P_meet-{F}(V0,V4,V3), P_join-{F}(V4,V0,V0), P_meet-{F}(V0,V5,V4), P_meet-{F}(V1,V6,V6) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #343: exists( #10, #339 ), references = 1, size of lhs = 5:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_zz-{F}(V2), P_meet-{F}(V1,V3,V3) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #346: exists( #14, #341 ), references = 1, size of lhs = 4:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0), P_yy-{F}(V1), P_meet-{F}(V1,V2,V2) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #351: exists( #13, #347 ), references = 1, size of lhs = 2:
% 16.26/16.44 P_xx-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 #356: exists( #12, #352 ), references = 1, size of lhs = 0:
% 16.26/16.44 FALSE | FALSE
% 16.26/16.44 (used 0 times, uses = {})
% 16.26/16.44
% 16.26/16.44 number of learnt formulas = 42
% 16.26/16.44
% 16.26/16.44
% 16.26/16.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.26/16.44
% 16.26/16.44 randbase = 1
%------------------------------------------------------------------------------