TSTP Solution File: ALG007-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 05:57:06 EDT 2022
% Result : Unsatisfiable 238.86s 239.06s
% Output : Refutation 238.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n020.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 10:53:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 238.86/239.06 GeoParameters:
% 238.86/239.06
% 238.86/239.06 tptp_input = 1
% 238.86/239.06 tptp_output = 0
% 238.86/239.06 nonempty = 1
% 238.86/239.06 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.86/239.06 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 238.86/239.06
% 238.86/239.06
% 238.86/239.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.86/239.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.86/239.06
% 238.86/239.06 RuleSystem INPUT:
% 238.86/239.06
% 238.86/239.06 Initial Rules:
% 238.86/239.06 #0: input, references = 5, size of lhs = 3:
% 238.86/239.06 P_difference-{F}(V1,V0,V2), P_difference-{F}(V0,V2,V3), V3 == V0 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #1: input, references = 5, size of lhs = 5:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V0,V4), P_difference-{F}(V1,V4,V5), V3 == V5 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #2: input, references = 7, size of lhs = 5:
% 238.86/239.06 P_difference-{F}(V0,V1,V3), P_difference-{F}(V3,V2,V4), P_difference-{F}(V0,V2,V5), P_difference-{F}(V5,V1,V6), V4 == V6 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #3: input, references = 18, size of lhs = 8:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V7), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V3,V6), P_difference-{F}(V5,V6,V7) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #4: input, references = 61, size of lhs = 2:
% 238.86/239.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #5: input, references = 4, size of lhs = 0:
% 238.86/239.06 FALSE | EXISTS V0: P_a-{T}(V0)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #6: input, references = 4, size of lhs = 0:
% 238.86/239.06 FALSE | EXISTS V0: P_b-{T}(V0)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #7: input, references = 5, size of lhs = 0:
% 238.86/239.06 FALSE | EXISTS V0: P_c-{T}(V0)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 number of initial rules = 8
% 238.86/239.06
% 238.86/239.06 Simplifiers:
% 238.86/239.06 #8: unsound, references = 3, size of lhs = 3:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #9: unsound, references = 3, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #10: unsound, references = 3, size of lhs = 3:
% 238.86/239.06 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #11: unsound, references = 3, size of lhs = 3:
% 238.86/239.06 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 number of simplifiers = 4
% 238.86/239.06
% 238.86/239.06 Learnt:
% 238.86/239.06 #13: exists( #4, #2 ), references = 108, size of lhs = 3:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V3,V4), P_difference-{F}(V4,V1,V5) | P_difference-{T}(V2,V3,V5)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #16: exists( #4, #0 ), references = 72, size of lhs = 1:
% 238.86/239.06 P_difference-{F}(V0,V1,V2) | P_difference-{T}(V1,V2,V1)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #20: exists( #4, #1 ), references = 74, size of lhs = 3:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V1,V3,V4) | P_difference-{T}(V0,V2,V4)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #33: exists( #4, #31 ), references = 1, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_difference-{F}(V1,V1,V1), P_difference-{F}(V2,V2,V1), P_difference-{F}(V3,V2,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #37: exists( #4, #35 ), references = 1, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #51: exists( #4, #49 ), references = 1, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_difference-{F}(V1,V1,V1), P_difference-{F}(V2,V2,V1), P_difference-{F}(V3,V2,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #62: exists( #4, #60 ), references = 1, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_difference-{F}(V0,V0,V0), P_c-{F}(V1), P_difference-{F}(V2,V2,V0), P_difference-{F}(V3,V2,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #69: exists( #4, #67 ), references = 2, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_difference-{F}(V0,V0,V1), P_c-{F}(V2), P_difference-{F}(V1,V2,V3), P_difference-{F}(V2,V2,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #84: exists( #4, #82 ), references = 2, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_difference-{F}(V0,V0,V1), P_c-{F}(V2), P_difference-{F}(V3,V3,V1), P_difference-{F}(V4,V3,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #109: exists( #4, #106 ), references = 1, size of lhs = 7:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_difference-{F}(V2,V3,V2), P_difference-{F}(V3,V3,V4), P_difference-{F}(V5,V5,V4), P_difference-{F}(V6,V5,V6) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #114: exists( #4, #112 ), references = 1, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #116: exists( #7, #113 ), references = 1, size of lhs = 2:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #131: mergings( V0 == V3; #127 ), references = 26, size of lhs = 2:
% 238.86/239.06 P_difference-{F}(V0,V0,V0), #-{F} V1 | P_difference-{T}(V0,V1,V0)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #138: exists( #4, #136 ), references = 2, size of lhs = 5:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V0,V2,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #160: exists( #4, #158 ), references = 1, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #168: exists( #4, #166 ), references = 2, size of lhs = 7:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V4,V4,V4), P_difference-{F}(V0,V3,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #172: mergings( V4 == V5; #170 ), references = 2, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #184: exists( #4, #182 ), references = 1, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #187: exists( #4, #185 ), references = 1, size of lhs = 5:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V2,V1), P_difference-{F}(V0,V2,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #196: exists( #4, #194 ), references = 2, size of lhs = 6:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V0), P_c-{F}(V2), P_difference-{F}(V1,V2,V3), P_difference-{F}(V0,V3,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #220: mergings( V4 == V5; #218 ), references = 6, size of lhs = 3:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V2,V4), P_difference-{F}(V4,V0,V5) | P_difference-{T}(V3,V0,V5)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #241: mergings( V3 == V8; #239 ), references = 2, size of lhs = 11:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V6,V6,V6), P_difference-{F}(V1,V6,V1), P_difference-{F}(V6,V7,V4), P_difference-{F}(V1,V7,V8), P_difference-{F}(V8,V3,V5) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #246: mergings( V3 == V7; #244 ), references = 1, size of lhs = 11:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V4,V4,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V6,V3,V5), P_difference-{F}(V7,V1,V8), P_difference-{F}(V7,V8,V6) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #256: exists( #4, #251 ), references = 1, size of lhs = 12:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V5,V3), P_difference-{F}(V5,V1,V6), P_difference-{F}(V5,V7,V6), P_difference-{F}(V7,V5,V8), P_difference-{F}(V6,V5,V9), P_difference-{F}(V6,V9,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #257: exists( #4, #253 ), references = 4, size of lhs = 9:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V1,V4), P_difference-{F}(V5,V3,V6), P_difference-{F}(V5,V0,V6), P_difference-{F}(V0,V5,V7), P_difference-{F}(V2,V7,V8), P_difference-{F}(V3,V5,V9), P_difference-{F}(V4,V9,V10), V10 == V8 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #266: exists( #4, #264 ), references = 2, size of lhs = 15:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V8,V4), P_difference-{F}(V1,V9,V10), P_difference-{F}(V1,V10,V11), P_difference-{F}(V11,V3,V12), P_difference-{F}(V7,V9,V13), P_difference-{F}(V10,V13,V8) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #270: exists( #4, #268 ), references = 2, size of lhs = 17:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V1,V8,V9), P_difference-{F}(V5,V9,V10), P_difference-{F}(V9,V5,V11), P_difference-{F}(V7,V8,V11), P_difference-{F}(V10,V5,V12), P_difference-{F}(V10,V12,V4), P_difference-{F}(V1,V9,V13), P_difference-{F}(V13,V3,V14) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #297: exists( #4, #294 ), references = 2, size of lhs = 18:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V9,V5,V10), P_difference-{F}(V9,V10,V4), P_difference-{F}(V8,V1,V11), P_difference-{F}(V8,V11,V12), P_difference-{F}(V12,V3,V13), P_difference-{F}(V7,V8,V14), P_difference-{F}(V5,V14,V5) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #298: exists( #4, #293 ), references = 2, size of lhs = 21:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V5,V8), P_difference-{F}(V1,V5,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V5,V1,V11), P_difference-{F}(V8,V11,V10), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V12,V13), P_difference-{F}(V13,V5,V14), P_difference-{F}(V13,V14,V4), P_difference-{F}(V9,V1,V15), P_difference-{F}(V9,V15,V16), P_difference-{F}(V16,V3,V17) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #311: exists( #4, #307 ), references = 1, size of lhs = 24:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V9,V5,V10), P_difference-{F}(V9,V10,V4), P_difference-{F}(V8,V1,V11), P_difference-{F}(V8,V11,V12), P_difference-{F}(V7,V8,V13), P_difference-{F}(V5,V13,V5), P_difference-{F}(V12,V12,V14), P_difference-{F}(V15,V16,V12), P_difference-{F}(V15,V17,V18), P_difference-{F}(V14,V17,V19), P_difference-{F}(V18,V19,V18), P_difference-{F}(V17,V12,V20), P_difference-{F}(V17,V20,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #312: exists( #4, #308 ), references = 1, size of lhs = 27:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V5,V8), P_difference-{F}(V1,V5,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V5,V1,V11), P_difference-{F}(V8,V11,V10), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V12,V13), P_difference-{F}(V13,V5,V14), P_difference-{F}(V13,V14,V4), P_difference-{F}(V9,V1,V15), P_difference-{F}(V9,V15,V16), P_difference-{F}(V16,V16,V17), P_difference-{F}(V18,V19,V16), P_difference-{F}(V18,V20,V21), P_difference-{F}(V17,V20,V22), P_difference-{F}(V21,V22,V21), P_difference-{F}(V20,V16,V23), P_difference-{F}(V20,V23,V3) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #323: exists( #4, #319 ), references = 1, size of lhs = 28:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V9,V5,V10), P_difference-{F}(V9,V10,V4), P_difference-{F}(V8,V1,V11), P_difference-{F}(V8,V11,V12), P_difference-{F}(V7,V8,V13), P_difference-{F}(V5,V13,V5), P_difference-{F}(V12,V12,V14), P_difference-{F}(V15,V12,V15), P_difference-{F}(V15,V16,V17), P_difference-{F}(V16,V15,V18), P_difference-{F}(V18,V16,V19), P_difference-{F}(V18,V19,V3), P_difference-{F}(V14,V16,V20), P_difference-{F}(V12,V21,V18), P_difference-{F}(V22,V20,V22), P_difference-{F}(V23,V16,V22), P_difference-{F}(V23,V24,V12) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #324: exists( #4, #320 ), references = 1, size of lhs = 31:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V5,V8), P_difference-{F}(V1,V5,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V5,V1,V11), P_difference-{F}(V8,V11,V10), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V12,V13), P_difference-{F}(V13,V5,V14), P_difference-{F}(V13,V14,V4), P_difference-{F}(V9,V1,V15), P_difference-{F}(V9,V15,V16), P_difference-{F}(V16,V16,V17), P_difference-{F}(V18,V16,V18), P_difference-{F}(V18,V19,V20), P_difference-{F}(V19,V18,V21), P_difference-{F}(V21,V19,V22), P_difference-{F}(V21,V22,V3), P_difference-{F}(V17,V19,V23), P_difference-{F}(V16,V24,V21), P_difference-{F}(V25,V23,V25), P_difference-{F}(V26,V19,V25), P_difference-{F}(V26,V27,V16) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #342: mergings( V14 == V15; #339 ), references = 2, size of lhs = 27:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V1,V8), P_difference-{F}(V8,V5,V9), P_difference-{F}(V8,V9,V4), P_difference-{F}(V10,V5,V7), P_difference-{F}(V7,V10,V11), P_difference-{F}(V7,V11,V3), P_difference-{F}(V5,V10,V12), P_difference-{F}(V1,V10,V13), P_difference-{F}(V1,V1,V14), P_difference-{F}(V14,V5,V15), P_difference-{F}(V1,V15,V1), P_difference-{F}(V15,V15,V15), P_difference-{F}(V15,V10,V16), P_difference-{F}(V13,V16,V13), P_difference-{F}(V5,V17,V5), P_difference-{F}(V15,V18,V17), P_difference-{F}(V1,V18,V19), P_difference-{F}(V19,V5,V7) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #344: mergings( V18 == V19; #340 ), references = 1, size of lhs = 30:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V8,V9,V10), P_difference-{F}(V9,V5,V11), P_difference-{F}(V9,V11,V12), P_difference-{F}(V12,V5,V13), P_difference-{F}(V12,V13,V4), P_difference-{F}(V14,V5,V7), P_difference-{F}(V7,V14,V15), P_difference-{F}(V7,V15,V3), P_difference-{F}(V5,V14,V16), P_difference-{F}(V1,V14,V17), P_difference-{F}(V1,V1,V18), P_difference-{F}(V18,V5,V19), P_difference-{F}(V1,V19,V1), P_difference-{F}(V19,V19,V19), P_difference-{F}(V19,V20,V10), P_difference-{F}(V19,V14,V21), P_difference-{F}(V17,V21,V17), P_difference-{F}(V1,V20,V22), P_difference-{F}(V22,V5,V7) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #357: mergings( V11 == V12; #354 ), references = 1, size of lhs = 24:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V0,V4), P_difference-{F}(V4,V5,V6), P_difference-{F}(V4,V6,V2), P_difference-{F}(V0,V5,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V1,V1,V9), P_difference-{F}(V9,V0,V10), P_difference-{F}(V1,V10,V1), P_difference-{F}(V10,V10,V10), P_difference-{F}(V10,V5,V11), P_difference-{F}(V8,V11,V8), P_difference-{F}(V0,V0,V12), P_difference-{F}(V12,V1,V13), P_difference-{F}(V0,V13,V0), P_difference-{F}(V0,V14,V0), P_difference-{F}(V10,V15,V14), P_difference-{F}(V1,V15,V16), P_difference-{F}(V16,V0,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #360: mergings( V6 == V18, V12 == V13; #355 ), references = 1, size of lhs = 24:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V0,V4), P_difference-{F}(V4,V5,V6), P_difference-{F}(V4,V6,V2), P_difference-{F}(V0,V5,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V1,V1,V9), P_difference-{F}(V9,V0,V10), P_difference-{F}(V1,V10,V1), P_difference-{F}(V10,V10,V10), P_difference-{F}(V10,V5,V11), P_difference-{F}(V8,V11,V8), P_difference-{F}(V0,V0,V12), P_difference-{F}(V12,V12,V12), P_difference-{F}(V10,V13,V12), P_difference-{F}(V1,V13,V14), P_difference-{F}(V14,V0,V4), P_difference-{F}(V12,V1,V15), P_difference-{F}(V0,V15,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #370: mergings( V10 == V11; #367 ), references = 1, size of lhs = 23:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V0,V4), P_difference-{F}(V4,V5,V6), P_difference-{F}(V4,V6,V2), P_difference-{F}(V0,V5,V7), P_difference-{F}(V1,V1,V8), P_difference-{F}(V8,V0,V9), P_difference-{F}(V1,V9,V1), P_difference-{F}(V9,V9,V9), P_difference-{F}(V0,V9,V0), P_difference-{F}(V9,V5,V10), P_difference-{F}(V1,V10,V1), P_difference-{F}(V0,V0,V11), P_difference-{F}(V11,V1,V12), P_difference-{F}(V0,V12,V0), P_difference-{F}(V5,V1,V13), P_difference-{F}(V5,V13,V14), P_difference-{F}(V14,V0,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #373: mergings( V7 == V13, V11 == V13; #368 ), references = 1, size of lhs = 22:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V0,V4), P_difference-{F}(V4,V5,V6), P_difference-{F}(V4,V6,V2), P_difference-{F}(V0,V5,V7), P_difference-{F}(V1,V1,V8), P_difference-{F}(V8,V0,V9), P_difference-{F}(V1,V9,V1), P_difference-{F}(V9,V9,V9), P_difference-{F}(V0,V0,V9), P_difference-{F}(V9,V5,V10), P_difference-{F}(V1,V10,V1), P_difference-{F}(V9,V1,V11), P_difference-{F}(V0,V11,V0), P_difference-{F}(V5,V1,V12), P_difference-{F}(V5,V12,V13), P_difference-{F}(V13,V0,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #393: exists( #4, #389 ), references = 1, size of lhs = 5:
% 238.86/239.06 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V0,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V4,V1,V5), V4 == V5 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #395: mergings( V4 == V6; #392 ), references = 3, size of lhs = 8:
% 238.86/239.06 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V0,V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V2,V5,V3), P_difference-{F}(V5,V1,V6), P_difference-{F}(V5,V2,V7), P_difference-{F}(V6,V7,V8), V8 == V4 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #404: exists( #4, #395 ), references = 1, size of lhs = 6:
% 238.86/239.06 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V0,V3), P_difference-{F}(V2,V4,V3), P_difference-{F}(V4,V1,V5), P_difference-{F}(V4,V2,V6), P_difference-{F}(V5,V6,V7) | P_difference-{T}(V2,V3,V7)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #412: exists( #4, #410 ), references = 1, size of lhs = 17:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V3,V6), P_difference-{F}(V7,V5,V8), P_difference-{F}(V9,V10,V9), P_difference-{F}(V5,V9,V11), P_difference-{F}(V8,V11,V12), P_difference-{F}(V11,V5,V13), P_difference-{F}(V11,V13,V4), P_difference-{F}(V7,V10,V14), P_difference-{F}(V14,V11,V15), P_difference-{F}(V15,V12,V6), P_difference-{F}(V5,V15,V11) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #414: exists( #4, #411 ), references = 1, size of lhs = 15:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V5,V1,V6), P_difference-{F}(V6,V5,V7), P_difference-{F}(V6,V7,V4), P_difference-{F}(V5,V8,V6), P_difference-{F}(V8,V9,V8), P_difference-{F}(V10,V6,V3), P_difference-{F}(V11,V5,V10), P_difference-{F}(V11,V9,V12), P_difference-{F}(V12,V6,V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #421: exists( #4, #419 ), references = 1, size of lhs = 10:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V3,V0,V2), P_difference-{F}(V3,V4,V1), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V0,V5), P_difference-{F}(V5,V1,V6), P_difference-{F}(V0,V6,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #436: exists( #4, #432 ), references = 1, size of lhs = 5:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V0), P_difference-{F}(V1,V0,V1), P_c-{F}(V2) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #437: exists( #4, #433 ), references = 2, size of lhs = 7:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V4,V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #461: exists( #4, #456 ), references = 1, size of lhs = 11:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V3,V2), P_difference-{F}(V3,V0,V4), P_difference-{F}(V3,V1,V4), P_difference-{F}(V1,V3,V5), P_difference-{F}(V5,V1,V6), P_difference-{F}(V5,V6,V7), P_difference-{F}(V1,V0,V8), P_difference-{F}(V8,V1,V9), P_difference-{F}(V8,V9,V10), V7 == V10 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #463: mergings( V3 == V5; #459 ), references = 1, size of lhs = 12:
% 238.86/239.06 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V0), P_difference-{F}(V3,V2,V4), P_difference-{F}(V3,V5,V4), P_difference-{F}(V5,V3,V6), P_difference-{F}(V5,V2,V6), P_difference-{F}(V2,V5,V7), P_difference-{F}(V7,V2,V8), P_difference-{F}(V7,V8,V9), P_difference-{F}(V0,V2,V10), P_difference-{F}(V0,V10,V11), V11 == V9 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #464: exists( #4, #455 ), references = 1, size of lhs = 13:
% 238.86/239.06 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V0,V4,V2), P_difference-{F}(V4,V0,V5), P_difference-{F}(V4,V1,V5), P_difference-{F}(V1,V4,V6), P_difference-{F}(V3,V1,V7), P_difference-{F}(V6,V1,V8), P_difference-{F}(V3,V9,V10), P_difference-{F}(V6,V9,V11), P_difference-{F}(V10,V7,V12), P_difference-{F}(V11,V8,V13), V13 == V12 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #472: exists( #4, #470 ), references = 2, size of lhs = 10:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V5,V6,V4), P_difference-{F}(V7,V3,V6), P_difference-{F}(V1,V8,V7) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #479: exists( #4, #477 ), references = 1, size of lhs = 13:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V5,V6), P_difference-{F}(V5,V1,V7), P_difference-{F}(V5,V8,V7), P_difference-{F}(V8,V5,V3), P_difference-{F}(V7,V5,V9), P_difference-{F}(V7,V9,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #481: exists( #4, #478 ), references = 1, size of lhs = 12:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V5,V1,V6), P_difference-{F}(V5,V7,V6), P_difference-{F}(V7,V5,V3), P_difference-{F}(V6,V5,V8), P_difference-{F}(V6,V8,V4) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #524: exists( #4, #522 ), references = 1, size of lhs = 12:
% 238.86/239.06 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V5), P_difference-{F}(V4,V0,V5), P_difference-{F}(V0,V4,V6), P_difference-{F}(V2,V4,V7), P_difference-{F}(V7,V2,V8), P_difference-{F}(V7,V9,V8), P_difference-{F}(V9,V7,V10), P_difference-{F}(V9,V3,V11), P_difference-{F}(V11,V10,V12), V12 == V1 | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #531: exists( #4, #529 ), references = 1, size of lhs = 15:
% 238.86/239.06 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V4,V5,V4), V3 == V5, P_difference-{F}(V6,V7,V5), P_difference-{F}(V8,V7,V9), P_difference-{F}(V9,V10,V3), P_difference-{F}(V8,V10,V11), P_difference-{F}(V11,V12,V1), P_difference-{F}(V6,V13,V12), P_difference-{F}(V13,V6,V14), P_difference-{F}(V13,V4,V14), P_difference-{F}(V4,V13,V15), P_difference-{F}(V12,V6,V16), P_difference-{F}(V12,V11,V16) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #534: exists( #4, #532 ), references = 4, size of lhs = 13:
% 238.86/239.06 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V0,V2), P_difference-{F}(V3,V4,V2), P_difference-{F}(V5,V4,V6), P_difference-{F}(V7,V6,V7), P_difference-{F}(V3,V8,V9), P_difference-{F}(V9,V10,V1), P_difference-{F}(V5,V11,V10), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V7,V12), P_difference-{F}(V7,V11,V13), P_difference-{F}(V10,V5,V14), P_difference-{F}(V10,V9,V14) | P_difference-{T}(V2,V8,V6)
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #567: exists( #4, #563 ), references = 1, size of lhs = 19:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V9,V5,V10), P_difference-{F}(V9,V10,V4), P_difference-{F}(V8,V1,V11), P_difference-{F}(V8,V11,V12), P_difference-{F}(V7,V8,V13), P_difference-{F}(V5,V13,V5), P_difference-{F}(V14,V15,V12), P_difference-{F}(V14,V3,V16) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #568: exists( #4, #564 ), references = 1, size of lhs = 22:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V6,V7), P_difference-{F}(V5,V5,V8), P_difference-{F}(V1,V5,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V5,V1,V11), P_difference-{F}(V8,V11,V10), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V12,V13), P_difference-{F}(V13,V5,V14), P_difference-{F}(V13,V14,V4), P_difference-{F}(V9,V1,V15), P_difference-{F}(V9,V15,V16), P_difference-{F}(V17,V18,V16), P_difference-{F}(V17,V3,V19) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #581: exists( #4, #577 ), references = 1, size of lhs = 25:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V7,V6), P_difference-{F}(V7,V3,V8), P_difference-{F}(V7,V9,V8), P_difference-{F}(V9,V7,V10), P_difference-{F}(V1,V5,V11), P_difference-{F}(V5,V1,V12), P_difference-{F}(V12,V5,V13), P_difference-{F}(V12,V13,V4), P_difference-{F}(V11,V1,V14), P_difference-{F}(V11,V14,V15), P_difference-{F}(V3,V16,V3), P_difference-{F}(V7,V16,V17), P_difference-{F}(V17,V11,V18), P_difference-{F}(V18,V8,V19), P_difference-{F}(V5,V19,V5), P_difference-{F}(V20,V21,V15), P_difference-{F}(V20,V3,V22) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #582: exists( #4, #578 ), references = 1, size of lhs = 28:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V1,V6), P_difference-{F}(V3,V7,V6), P_difference-{F}(V7,V3,V8), P_difference-{F}(V7,V9,V8), P_difference-{F}(V9,V7,V10), P_difference-{F}(V5,V5,V11), P_difference-{F}(V1,V5,V12), P_difference-{F}(V5,V1,V13), P_difference-{F}(V11,V13,V14), P_difference-{F}(V13,V5,V15), P_difference-{F}(V13,V15,V16), P_difference-{F}(V16,V5,V17), P_difference-{F}(V16,V17,V4), P_difference-{F}(V12,V1,V18), P_difference-{F}(V12,V18,V19), P_difference-{F}(V3,V20,V3), P_difference-{F}(V7,V20,V21), P_difference-{F}(V21,V12,V22), P_difference-{F}(V22,V8,V14), P_difference-{F}(V23,V24,V19), P_difference-{F}(V23,V3,V25) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #585: exists( #4, #579 ), references = 2, size of lhs = 21:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V3,V6), P_difference-{F}(V1,V5,V7), P_difference-{F}(V5,V1,V8), P_difference-{F}(V8,V5,V9), P_difference-{F}(V8,V9,V4), P_difference-{F}(V7,V1,V10), P_difference-{F}(V7,V10,V11), P_difference-{F}(V3,V12,V3), P_difference-{F}(V1,V12,V13), P_difference-{F}(V13,V7,V14), P_difference-{F}(V14,V6,V15), P_difference-{F}(V5,V15,V5), P_difference-{F}(V16,V17,V11), P_difference-{F}(V16,V3,V18) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #586: exists( #4, #580 ), references = 2, size of lhs = 24:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V3,V6), P_difference-{F}(V5,V5,V7), P_difference-{F}(V1,V5,V8), P_difference-{F}(V5,V1,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V9,V5,V11), P_difference-{F}(V9,V11,V12), P_difference-{F}(V12,V5,V13), P_difference-{F}(V12,V13,V4), P_difference-{F}(V8,V1,V14), P_difference-{F}(V8,V14,V15), P_difference-{F}(V3,V16,V3), P_difference-{F}(V1,V16,V17), P_difference-{F}(V17,V8,V18), P_difference-{F}(V18,V6,V10), P_difference-{F}(V19,V20,V15), P_difference-{F}(V19,V3,V21) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #591: exists( #4, #587 ), references = 1, size of lhs = 19:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V5,V6), P_difference-{F}(V5,V1,V7), P_difference-{F}(V7,V5,V8), P_difference-{F}(V7,V8,V4), P_difference-{F}(V6,V1,V9), P_difference-{F}(V6,V9,V10), P_difference-{F}(V3,V11,V3), P_difference-{F}(V1,V11,V12), P_difference-{F}(V12,V6,V13), P_difference-{F}(V13,V13,V13), P_difference-{F}(V5,V13,V5), P_difference-{F}(V1,V14,V10) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #592: exists( #4, #588 ), references = 1, size of lhs = 22:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V5,V5,V6), P_difference-{F}(V1,V5,V7), P_difference-{F}(V5,V1,V8), P_difference-{F}(V6,V8,V9), P_difference-{F}(V9,V9,V9), P_difference-{F}(V8,V5,V10), P_difference-{F}(V8,V10,V11), P_difference-{F}(V11,V5,V12), P_difference-{F}(V11,V12,V4), P_difference-{F}(V7,V1,V13), P_difference-{F}(V7,V13,V14), P_difference-{F}(V3,V15,V3), P_difference-{F}(V1,V15,V16), P_difference-{F}(V16,V7,V9), P_difference-{F}(V1,V17,V14) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #604: mergings( V9 == V10; #601 ), references = 2, size of lhs = 16:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V5,V3), P_difference-{F}(V5,V1,V6), P_difference-{F}(V6,V5,V7), P_difference-{F}(V6,V7,V4), P_difference-{F}(V1,V1,V8), P_difference-{F}(V8,V5,V9), P_difference-{F}(V1,V9,V1), P_difference-{F}(V9,V9,V9), P_difference-{F}(V5,V9,V5) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #606: mergings( V13 == V9; #602 ), references = 2, size of lhs = 19:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V3,V5), P_difference-{F}(V3,V5,V3), P_difference-{F}(V5,V5,V6), P_difference-{F}(V5,V1,V7), P_difference-{F}(V6,V7,V8), P_difference-{F}(V8,V8,V8), P_difference-{F}(V1,V8,V1), P_difference-{F}(V7,V5,V9), P_difference-{F}(V7,V9,V10), P_difference-{F}(V10,V5,V11), P_difference-{F}(V10,V11,V4), P_difference-{F}(V1,V1,V12), P_difference-{F}(V12,V5,V8) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #619: mergings( V5 == V6; #616 ), references = 1, size of lhs = 13:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V2,V0,V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V1,V1,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V4,V4,V4), P_difference-{F}(V0,V4,V0), P_difference-{F}(V0,V0,V5), P_difference-{F}(V5,V1,V6), P_difference-{F}(V0,V6,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #622: mergings( V4 == V8, V6 == V8; #617 ), references = 1, size of lhs = 12:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V2,V0,V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V1,V1,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V4,V4,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V0,V4), P_difference-{F}(V4,V1,V5), P_difference-{F}(V0,V5,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #631: exists( #4, #241 ), references = 2, size of lhs = 9:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V5,V5), P_difference-{F}(V1,V5,V1), P_difference-{F}(V5,V6,V4), P_difference-{F}(V1,V6,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #636: exists( #4, #634 ), references = 1, size of lhs = 9:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V4,V4,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V5,V1,V6), P_difference-{F}(V5,V6,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #671: mergings( V4 == V10, V5 == V9, V6 == V7; #665 ), references = 2, size of lhs = 12:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V1,V5), P_difference-{F}(V5,V2,V6), P_difference-{F}(V1,V6,V1), P_difference-{F}(V6,V4,V6) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #675: mergings( V4 == V10, V5 == V9, V6 == V7; #666 ), references = 2, size of lhs = 13:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V1,V5), P_difference-{F}(V5,V2,V6), P_difference-{F}(V1,V6,V1), P_difference-{F}(V3,V6,V3), P_difference-{F}(V6,V4,V6) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #679: mergings( V4 == V15, V5 == V14, V7 == V9; #667 ), references = 1, size of lhs = 21:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V2), P_difference-{F}(V1,V1,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V4,V0), P_difference-{F}(V4,V4,V4), P_difference-{F}(V4,V5,V4), P_difference-{F}(V1,V5,V2), P_difference-{F}(V4,V1,V6), P_difference-{F}(V2,V2,V7), P_difference-{F}(V2,V7,V2), P_difference-{F}(V1,V2,V8), P_difference-{F}(V4,V2,V9), P_difference-{F}(V8,V9,V8), P_difference-{F}(V0,V1,V10), P_difference-{F}(V10,V2,V11), P_difference-{F}(V1,V11,V1), P_difference-{F}(V11,V6,V11) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #697: mergings( V3 == V7; #693 ), references = 1, size of lhs = 10:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V4,V0), P_difference-{F}(V1,V5,V2) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #700: mergings( V4 == V5, V3 == V8; #694 ), references = 1, size of lhs = 10:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V4,V0), P_difference-{F}(V1,V5,V2) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #703: mergings( V5 == V7, V3 == V13; #695 ), references = 1, size of lhs = 19:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V2), P_difference-{F}(V1,V1,V4), P_difference-{F}(V1,V4,V1), P_difference-{F}(V0,V4,V0), P_difference-{F}(V4,V4,V4), P_difference-{F}(V4,V5,V4), P_difference-{F}(V1,V5,V2), P_difference-{F}(V4,V1,V6), P_difference-{F}(V0,V6,V0), P_difference-{F}(V2,V2,V7), P_difference-{F}(V2,V7,V2), P_difference-{F}(V1,V2,V8), P_difference-{F}(V4,V2,V9), P_difference-{F}(V8,V9,V8), P_difference-{F}(V1,V10,V2) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #751: exists( #4, #745 ), references = 1, size of lhs = 19:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V5,V4,V5), P_difference-{F}(V6,V1,V2), P_difference-{F}(V6,V3,V7), P_difference-{F}(V7,V8,V7), P_difference-{F}(V8,V8,V9), P_difference-{F}(V10,V11,V7), P_difference-{F}(V12,V11,V4), P_difference-{F}(V10,V1,V13), P_difference-{F}(V13,V14,V9), P_difference-{F}(V12,V15,V14), P_difference-{F}(V15,V12,V16), P_difference-{F}(V15,V5,V16), P_difference-{F}(V14,V12,V17), P_difference-{F}(V14,V13,V17) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #752: exists( #4, #746 ), references = 1, size of lhs = 21:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), P_difference-{F}(V7,V6,V7), P_difference-{F}(V8,V8,V9), P_difference-{F}(V10,V8,V10), P_difference-{F}(V11,V3,V10), P_difference-{F}(V11,V12,V2), P_difference-{F}(V13,V14,V10), P_difference-{F}(V15,V14,V6), P_difference-{F}(V13,V12,V16), P_difference-{F}(V16,V17,V9), P_difference-{F}(V15,V18,V17), P_difference-{F}(V18,V15,V19), P_difference-{F}(V18,V7,V19), P_difference-{F}(V17,V15,V20), P_difference-{F}(V17,V16,V20) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #753: exists( #4, #747 ), references = 1, size of lhs = 22:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_difference-{F}(V0,V1,V2), P_c-{F}(V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V5,V1,V2), P_difference-{F}(V5,V3,V6), P_difference-{F}(V6,V7,V6), P_difference-{F}(V7,V7,V8), P_difference-{F}(V9,V10,V6), P_difference-{F}(V9,V1,V11), P_difference-{F}(V11,V12,V8), P_difference-{F}(V12,V11,V13), P_difference-{F}(V12,V14,V13), P_difference-{F}(V14,V10,V15), P_difference-{F}(V16,V15,V16), P_difference-{F}(V14,V17,V12), P_difference-{F}(V17,V14,V18), P_difference-{F}(V17,V16,V18), P_difference-{F}(V4,V19,V15), P_difference-{F}(V20,V3,V19), P_difference-{F}(V1,V21,V20) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #775: exists( #4, #771 ), references = 1, size of lhs = 11:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V1,V5), P_difference-{F}(V5,V1,V5), P_difference-{F}(V5,V4,V5) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #776: exists( #4, #772 ), references = 1, size of lhs = 11:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V1,V5), P_difference-{F}(V5,V1,V5), P_difference-{F}(V5,V4,V5) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #785: exists( #4, #781 ), references = 1, size of lhs = 9:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V4,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #786: exists( #4, #782 ), references = 1, size of lhs = 9:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V0,V3,V0), P_difference-{F}(V3,V3,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V0,V4,V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #803: exists( #4, #799 ), references = 1, size of lhs = 3:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #806: exists( #7, #801 ), references = 1, size of lhs = 2:
% 238.86/239.06 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #809: exists( #6, #804 ), references = 1, size of lhs = 1:
% 238.86/239.06 P_a-{F}(V0) | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 #812: exists( #5, #807 ), references = 1, size of lhs = 0:
% 238.86/239.06 FALSE | FALSE
% 238.86/239.06 (used 0 times, uses = {})
% 238.86/239.06
% 238.86/239.06 number of learnt formulas = 87
% 238.86/239.06
% 238.86/239.06
% 238.86/239.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.86/239.06
% 238.86/239.06 randbase = 1
%------------------------------------------------------------------------------