TSTP Solution File: LAT168-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:08:00 EDT 2022
% Result : Unsatisfiable 13.92s 14.10s
% Output : Refutation 13.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 20:16:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 13.92/14.10 GeoParameters:
% 13.92/14.10
% 13.92/14.10 tptp_input = 1
% 13.92/14.10 tptp_output = 0
% 13.92/14.10 nonempty = 1
% 13.92/14.10 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.92/14.10 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.92/14.10
% 13.92/14.10
% 13.92/14.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.92/14.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.92/14.10
% 13.92/14.10 RuleSystem INPUT:
% 13.92/14.10
% 13.92/14.10 Initial Rules:
% 13.92/14.10 #0: input, references = 4, size of lhs = 2:
% 13.92/14.10 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #1: input, references = 4, size of lhs = 2:
% 13.92/14.10 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #2: input, references = 4, size of lhs = 3:
% 13.92/14.10 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #3: input, references = 4, size of lhs = 3:
% 13.92/14.10 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #4: input, references = 4, size of lhs = 3:
% 13.92/14.10 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #5: input, references = 4, size of lhs = 3:
% 13.92/14.10 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #6: input, references = 4, size of lhs = 5:
% 13.92/14.10 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
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #7: input, references = 5, size of lhs = 5:
% 13.92/14.10 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
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #8: input, references = 4, size of lhs = 9:
% 13.92/14.10 P_join-{F}(V0,V1,V3), P_join-{F}(V0,V2,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V1,V6,V7), P_meet-{F}(V4,V7,V8), P_meet-{F}(V3,V8,V9), P_join-{F}(V0,V9,V10), V5 == V10 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #9: input, references = 10, size of lhs = 11:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V10), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V5,V7,V8), P_join-{F}(V1,V8,V9), P_meet-{F}(V0,V9,V10) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #10: input, references = 18, size of lhs = 2:
% 13.92/14.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #11: input, references = 17, size of lhs = 2:
% 13.92/14.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #12: input, references = 4, size of lhs = 0:
% 13.92/14.10 FALSE | EXISTS V0: P_a-{T}(V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #13: input, references = 4, size of lhs = 0:
% 13.92/14.10 FALSE | EXISTS V0: P_b-{T}(V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #14: input, references = 5, size of lhs = 0:
% 13.92/14.10 FALSE | EXISTS V0: P_c-{T}(V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 number of initial rules = 15
% 13.92/14.10
% 13.92/14.10 Simplifiers:
% 13.92/14.10 #15: unsound, references = 3, size of lhs = 3:
% 13.92/14.10 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #16: unsound, references = 3, size of lhs = 3:
% 13.92/14.10 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #17: unsound, references = 3, size of lhs = 3:
% 13.92/14.10 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #18: unsound, references = 3, size of lhs = 3:
% 13.92/14.10 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #19: unsound, references = 3, size of lhs = 3:
% 13.92/14.10 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 number of simplifiers = 5
% 13.92/14.10
% 13.92/14.10 Learnt:
% 13.92/14.10 #21: exists( #10, #0 ), references = 5, size of lhs = 1:
% 13.92/14.10 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #24: exists( #11, #1 ), references = 4, size of lhs = 1:
% 13.92/14.10 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #25: exists( #11, #3 ), references = 13, size of lhs = 1:
% 13.92/14.10 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #27: exists( #10, #4 ), references = 22, size of lhs = 1:
% 13.92/14.10 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #29: exists( #11, #5 ), references = 19, size of lhs = 1:
% 13.92/14.10 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #35: exists( #10, #6 ), references = 18, size of lhs = 3:
% 13.92/14.10 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #39: exists( #10, #2 ), references = 21, size of lhs = 1:
% 13.92/14.10 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #44: mergings( V1 == V3; #42 ), references = 1, size of lhs = 5:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_c-{F}(V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #47: mergings( V1 == V2; #45 ), references = 1, size of lhs = 4:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #58: exists( #11, #56 ), references = 2, size of lhs = 5:
% 13.92/14.10 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #61: exists( #10, #59 ), references = 1, size of lhs = 3:
% 13.92/14.10 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #84: exists( #10, #82 ), references = 6, size of lhs = 5:
% 13.92/14.10 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V4), P_meet-{F}(V2,V5,V6), P_meet-{F}(V4,V5,V7), P_join-{F}(V6,V7,V5) | P_meet-{T}(V1,V5,V5)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #94: exists( #11, #92 ), references = 1, size of lhs = 9:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V6,V5,V0), P_meet-{F}(V7,V5,V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #99: exists( #10, #97 ), references = 1, size of lhs = 9:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V4,V2,V0), P_meet-{F}(V5,V2,V1), P_meet-{F}(V2,V6,V6), P_meet-{F}(V6,V0,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #110: mergings( V9 == V3; #108 ), references = 2, size of lhs = 10:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V1,V6,V7), P_meet-{F}(V0,V7,V0), P_meet-{F}(V2,V8,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #131: exists( #11, #7 ), references = 12, size of lhs = 3:
% 13.92/14.10 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #153: exists( #10, #149 ), references = 1, size of lhs = 11:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V2,V6,V0), P_join-{F}(V1,V7,V3), P_meet-{F}(V8,V3,V7), P_meet-{F}(V9,V5,V8) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #154: exists( #10, #150 ), references = 2, size of lhs = 12:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V5,V4), P_meet-{F}(V0,V1,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V1,V8,V5), P_meet-{F}(V9,V5,V8), P_meet-{F}(V10,V7,V9) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #161: exists( #11, #157 ), references = 1, size of lhs = 7:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V2,V5,V0), P_meet-{F}(V6,V4,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #162: exists( #11, #158 ), references = 1, size of lhs = 8:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V6,V5,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #171: exists( #10, #167 ), references = 1, size of lhs = 7:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V2,V3,V0), P_meet-{F}(V4,V2,V0), P_meet-{F}(V2,V5,V5), P_meet-{F}(V5,V0,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #196: exists( #11, #8 ), references = 3, size of lhs = 7:
% 13.92/14.10 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V3,V6), P_join-{F}(V1,V6,V7), P_meet-{F}(V4,V7,V8), P_meet-{F}(V2,V8,V9) | P_join-{T}(V0,V9,V5)
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #209: exists( #10, #205 ), references = 3, size of lhs = 16:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V1,V8,V5), P_meet-{F}(V1,V8,V9), P_join-{F}(V10,V9,V7), P_join-{F}(V1,V10,V11), P_meet-{F}(V11,V12,V12), P_meet-{F}(V12,V7,V7), P_meet-{F}(V11,V5,V13), P_meet-{F}(V0,V13,V4) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #210: exists( #10, #206 ), references = 1, size of lhs = 17:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V5,V4), P_meet-{F}(V0,V1,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V5,V8,V8), P_join-{F}(V1,V9,V8), P_meet-{F}(V1,V9,V10), P_join-{F}(V11,V10,V7), P_join-{F}(V1,V11,V12), P_meet-{F}(V12,V8,V5), P_meet-{F}(V12,V13,V13), P_meet-{F}(V13,V7,V7) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #224: exists( #11, #219 ), references = 2, size of lhs = 15:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V1,V0,V6), P_join-{F}(V7,V6,V5), P_join-{F}(V1,V7,V8), P_meet-{F}(V8,V9,V9), P_meet-{F}(V9,V5,V5), P_meet-{F}(V10,V8,V0), P_meet-{F}(V11,V8,V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #225: exists( #11, #221 ), references = 2, size of lhs = 15:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V1,V0,V6), P_join-{F}(V7,V6,V5), P_join-{F}(V1,V7,V8), P_meet-{F}(V8,V9,V9), P_meet-{F}(V9,V5,V5), P_meet-{F}(V10,V8,V0), P_meet-{F}(V11,V8,V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #252: mergings( V5 == V6; #248 ), references = 1, size of lhs = 13:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V0,V3), P_join-{F}(V1,V2,V4), P_meet-{F}(V0,V4,V0), P_meet-{F}(V5,V4,V0), P_meet-{F}(V6,V4,V1), P_meet-{F}(V7,V4,V2), P_meet-{F}(V8,V4,V3) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #254: mergings( V5 == V6; #249 ), references = 1, size of lhs = 13:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V0,V3), P_join-{F}(V1,V2,V4), P_meet-{F}(V0,V4,V0), P_meet-{F}(V5,V4,V0), P_meet-{F}(V6,V4,V1), P_meet-{F}(V7,V4,V2), P_meet-{F}(V8,V4,V3) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #264: mergings( V4 == V5; #261 ), references = 1, size of lhs = 11:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V3,V0,V0), P_meet-{F}(V4,V3,V0), P_meet-{F}(V5,V3,V1), P_meet-{F}(V6,V3,V2) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #266: mergings( V4 == V5; #262 ), references = 1, size of lhs = 11:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V3,V0,V0), P_meet-{F}(V4,V3,V0), P_meet-{F}(V5,V3,V1), P_meet-{F}(V6,V3,V2) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #287: exists( #10, #9 ), references = 1, size of lhs = 9:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V0,V1,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V4,V6,V7), P_join-{F}(V1,V7,V3) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #288: exists( #10, #209 ), references = 1, size of lhs = 14:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V0,V1,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V1,V7,V4), P_meet-{F}(V1,V7,V8), P_join-{F}(V9,V8,V6), P_join-{F}(V1,V9,V10), P_meet-{F}(V10,V4,V3), P_meet-{F}(V10,V11,V11), P_meet-{F}(V11,V6,V6) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #300: exists( #10, #298 ), references = 1, size of lhs = 16:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V1,V8,V5), P_meet-{F}(V1,V8,V9), P_join-{F}(V10,V9,V7), P_join-{F}(V1,V10,V11), P_meet-{F}(V11,V12,V12), P_meet-{F}(V12,V7,V7), P_meet-{F}(V0,V5,V13), P_meet-{F}(V13,V11,V4) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #302: exists( #10, #299 ), references = 1, size of lhs = 14:
% 13.92/14.10 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V0,V4,V0), P_meet-{F}(V0,V1,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V1,V7,V4), P_meet-{F}(V1,V7,V8), P_join-{F}(V9,V8,V6), P_join-{F}(V1,V9,V3), P_meet-{F}(V3,V10,V10), P_meet-{F}(V10,V6,V6) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #307: exists( #11, #305 ), references = 2, size of lhs = 12:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V1,V0,V6), P_join-{F}(V7,V6,V5), P_join-{F}(V1,V7,V3), P_meet-{F}(V3,V8,V8), P_meet-{F}(V8,V5,V5) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #331: exists( #11, #325 ), references = 1, size of lhs = 10:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V0,V3), P_join-{F}(V1,V2,V4), P_meet-{F}(V5,V4,V2), P_meet-{F}(V6,V4,V3) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #339: mergings( V4 == V7; #337 ), references = 1, size of lhs = 8:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_join-{F}(V1,V2,V3), P_meet-{F}(V4,V3,V2), P_join-{F}(V1,V5,V3) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #345: exists( #11, #343 ), references = 2, size of lhs = 6:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #348: exists( #14, #346 ), references = 1, size of lhs = 4:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V1,V1,V1) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #351: exists( #13, #349 ), references = 1, size of lhs = 2:
% 13.92/14.10 P_a-{F}(V0), P_join-{F}(V0,V0,V0) | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 #354: exists( #12, #352 ), references = 1, size of lhs = 0:
% 13.92/14.10 FALSE | FALSE
% 13.92/14.10 (used 0 times, uses = {})
% 13.92/14.10
% 13.92/14.10 number of learnt formulas = 41
% 13.92/14.10
% 13.92/14.10
% 13.92/14.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.92/14.10
% 13.92/14.10 randbase = 1
%------------------------------------------------------------------------------