TSTP Solution File: ALG006-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 13.31s 13.52s
% Output : Refutation 13.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 11:24:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 13.31/13.52 GeoParameters:
% 13.31/13.52
% 13.31/13.52 tptp_input = 1
% 13.31/13.52 tptp_output = 0
% 13.31/13.52 nonempty = 1
% 13.31/13.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.31/13.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.31/13.52
% 13.31/13.52
% 13.31/13.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.31/13.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.31/13.52
% 13.31/13.52 RuleSystem INPUT:
% 13.31/13.52
% 13.31/13.52 Initial Rules:
% 13.31/13.52 #0: input, references = 6, size of lhs = 3:
% 13.31/13.52 P_difference-{F}(V1,V0,V2), P_difference-{F}(V0,V2,V3), V3 == V0 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #1: input, references = 5, size of lhs = 5:
% 13.31/13.52 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
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #2: input, references = 7, size of lhs = 6:
% 13.31/13.52 P_difference-{F}(V0,V1,V3), P_difference-{F}(V3,V2,V4), P_difference-{F}(V0,V2,V5), P_difference-{F}(V1,V2,V6), P_difference-{F}(V5,V6,V7), V4 == V7 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #3: input, references = 13, size of lhs = 7:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V2), P_b-{F}(V3), P_difference-{F}(V2,V3,V6), P_difference-{F}(V0,V3,V5), P_difference-{F}(V5,V1,V6) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #4: input, references = 42, size of lhs = 2:
% 13.31/13.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #5: input, references = 4, size of lhs = 0:
% 13.31/13.52 FALSE | EXISTS V0: P_a-{T}(V0)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #6: input, references = 4, size of lhs = 0:
% 13.31/13.52 FALSE | EXISTS V0: P_c-{T}(V0)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #7: input, references = 5, size of lhs = 0:
% 13.31/13.52 FALSE | EXISTS V0: P_b-{T}(V0)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 number of initial rules = 8
% 13.31/13.52
% 13.31/13.52 Simplifiers:
% 13.31/13.52 #8: unsound, references = 3, size of lhs = 3:
% 13.31/13.52 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #9: unsound, references = 3, size of lhs = 3:
% 13.31/13.52 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #10: unsound, references = 3, size of lhs = 3:
% 13.31/13.52 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #11: unsound, references = 3, size of lhs = 3:
% 13.31/13.52 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 number of simplifiers = 4
% 13.31/13.52
% 13.31/13.52 Learnt:
% 13.31/13.52 #13: exists( #4, #2 ), references = 43, size of lhs = 4:
% 13.31/13.52 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6) | P_difference-{T}(V2,V3,V6)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #16: exists( #4, #0 ), references = 37, size of lhs = 1:
% 13.31/13.52 P_difference-{F}(V0,V1,V2) | P_difference-{T}(V1,V2,V1)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #20: exists( #4, #1 ), references = 16, size of lhs = 3:
% 13.31/13.52 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V1,V3,V4) | P_difference-{T}(V0,V2,V4)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #29: exists( #4, #27 ), references = 1, size of lhs = 3:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V1) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #35: exists( #4, #33 ), references = 2, size of lhs = 5:
% 13.31/13.52 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V4,V5,V6) | P_difference-{T}(V1,V0,V6)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #60: exists( #4, #58 ), references = 1, size of lhs = 6:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V0,V2,V3), P_difference-{F}(V4,V2,V3), P_difference-{F}(V2,V4,V1), P_difference-{F}(V4,V1,V5), P_difference-{F}(V5,V1,V6) | P_difference-{T}(V2,V1,V6)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #73: exists( #4, #71 ), references = 2, size of lhs = 5:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V2,V1,V1), P_difference-{F}(V0,V3,V4), V1 == V4 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #77: exists( #4, #75 ), references = 4, size of lhs = 8:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V2,V1,V1), P_difference-{F}(V3,V4,V0), P_difference-{F}(V3,V5,V6), P_difference-{F}(V4,V5,V7), P_difference-{F}(V6,V8,V7), P_difference-{F}(V8,V6,V9) | P_difference-{T}(V8,V9,V1)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #84: mergings( V3 == V4; #82 ), references = 1, size of lhs = 6:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_difference-{F}(V1,V1,V1), P_difference-{F}(V2,V1,V1), P_difference-{F}(V3,V3,V2) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #97: mergings( V4 == V6, V3 == V6; #94 ), references = 1, size of lhs = 7:
% 13.31/13.52 P_a-{F}(V0), P_difference-{F}(V0,V0,V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V0), P_b-{F}(V2), P_difference-{F}(V3,V0,V0), P_difference-{F}(V4,V4,V3) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #106: mergings( V6 == V8; #104 ), references = 2, size of lhs = 9:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V2), P_b-{F}(V3), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V1,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V6,V1,V4), P_difference-{F}(V6,V7,V5) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #110: mergings( V4 == V6, V5 == V6; #107 ), references = 2, size of lhs = 6:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V3,V2,V3), P_difference-{F}(V0,V1,V3) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #120: mergings( V5 == V6; #118 ), references = 2, size of lhs = 8:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V0,V1,V3), P_difference-{F}(V3,V3,V3), P_difference-{F}(V4,V3,V3), P_difference-{F}(V5,V5,V4) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #129: mergings( V4 == V5; #127 ), references = 1, size of lhs = 8:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_difference-{F}(V2,V2,V2), P_difference-{F}(V3,V2,V2), P_difference-{F}(V4,V4,V3), P_difference-{F}(V5,V2,V2), P_difference-{F}(V6,V6,V5) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #133: exists( #4, #131 ), references = 1, size of lhs = 3:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #135: exists( #7, #132 ), references = 1, size of lhs = 2:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V0) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #137: exists( #4, #73 ), references = 19, size of lhs = 4:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V2,V1,V1), #-{F} V3 | P_difference-{T}(V0,V3,V1)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #146: exists( #4, #142 ), references = 1, size of lhs = 11:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V2), P_b-{F}(V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V4,V1,V5), P_difference-{F}(V5,V5,V6), P_difference-{F}(V6,V5,V5), P_difference-{F}(V7,V5,V5), P_difference-{F}(V8,V3,V7), P_difference-{F}(V8,V9,V2) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #147: exists( #4, #143 ), references = 1, size of lhs = 13:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V2), P_b-{F}(V3), P_difference-{F}(V1,V1,V4), P_difference-{F}(V4,V4,V5), P_difference-{F}(V5,V4,V4), P_difference-{F}(V0,V3,V6), P_difference-{F}(V7,V1,V4), P_difference-{F}(V7,V8,V6), P_difference-{F}(V9,V4,V4), P_difference-{F}(V10,V3,V9), P_difference-{F}(V10,V11,V2) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #151: mergings( V4 == V7; #148 ), references = 2, size of lhs = 8:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V3,V4,V4), P_difference-{F}(V4,V4,V5), P_difference-{F}(V5,V4,V4) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #153: mergings( V6 == V9; #149 ), references = 1, size of lhs = 10:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V1,V1,V3), P_difference-{F}(V3,V3,V4), P_difference-{F}(V4,V3,V3), P_difference-{F}(V5,V1,V3), P_difference-{F}(V0,V2,V6), P_difference-{F}(V6,V3,V3), P_difference-{F}(V5,V7,V6) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #186: exists( #4, #184 ), references = 1, size of lhs = 3:
% 13.31/13.52 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #189: exists( #4, #187 ), references = 1, size of lhs = 5:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V1,V2,V1) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #196: exists( #4, #194 ), references = 1, size of lhs = 5:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_difference-{F}(V0,V1,V0), P_b-{F}(V2), P_difference-{F}(V2,V1,V2) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #210: exists( #4, #208 ), references = 1, size of lhs = 9:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V2,V1,V1), P_difference-{F}(V3,V4,V0), P_difference-{F}(V3,V5,V6), P_difference-{F}(V4,V6,V7), P_difference-{F}(V4,V7,V8), P_difference-{F}(V6,V1,V9), V8 == V9 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #214: exists( #4, #212 ), references = 1, size of lhs = 13:
% 13.31/13.52 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V2,V1,V1), P_difference-{F}(V3,V4,V0), P_difference-{F}(V3,V5,V6), P_difference-{F}(V6,V1,V7), P_difference-{F}(V8,V6,V9), P_difference-{F}(V8,V10,V4), P_difference-{F}(V9,V11,V11), P_difference-{F}(V11,V11,V12), P_difference-{F}(V12,V11,V11), P_difference-{F}(V4,V11,V13), V7 == V13 | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #225: mergings( V3 == V6, V6 == V7, V5 == V4, V4 == V8, V7 == V9; #219 ), references = 8, size of lhs = 12:
% 13.31/13.52 P_difference-{F}(V0,V0,V1), P_difference-{F}(V1,V0,V0), P_difference-{F}(V1,V1,V0), P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V1,V2), P_difference-{F}(V3,V1,V3), P_difference-{F}(V4,V1,V1), P_difference-{F}(V2,V5,V4), P_difference-{F}(V5,V1,V6), P_difference-{F}(V2,V7,V8), P_difference-{F}(V3,V7,V9), P_difference-{F}(V8,V9,V5) | P_difference-{T}(V2,V3,V6)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #238: mergings( V7 == V6, V5 == V6, V4 == V8; #234 ), references = 1, size of lhs = 14:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V0,V3,V0), P_difference-{F}(V1,V3,V1), P_difference-{F}(V2,V4,V2), P_difference-{F}(V0,V4,V0), P_difference-{F}(V1,V4,V1), P_difference-{F}(V4,V4,V5), P_difference-{F}(V5,V4,V4), P_difference-{F}(V5,V5,V4), P_difference-{F}(V4,V5,V5) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #246: mergings( V14 == V13, V12 == V13, V11 == V15; #242 ), references = 1, size of lhs = 29:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V1,V3), P_difference-{F}(V1,V3,V1), P_difference-{F}(V2,V4,V2), P_difference-{F}(V0,V4,V0), P_difference-{F}(V1,V4,V1), P_difference-{F}(V4,V4,V5), P_difference-{F}(V5,V4,V4), P_difference-{F}(V5,V5,V4), P_difference-{F}(V4,V5,V5), P_difference-{F}(V0,V6,V0), P_difference-{F}(V3,V6,V3), P_difference-{F}(V6,V6,V7), P_difference-{F}(V7,V7,V6), P_difference-{F}(V6,V7,V7), P_difference-{F}(V7,V6,V6), P_difference-{F}(V8,V6,V6), P_difference-{F}(V0,V9,V8), P_difference-{F}(V9,V6,V0), P_difference-{F}(V10,V11,V3), P_difference-{F}(V10,V12,V13), P_difference-{F}(V0,V12,V14), P_difference-{F}(V13,V15,V15), P_difference-{F}(V14,V15,V9), P_difference-{F}(V15,V15,V16), P_difference-{F}(V16,V15,V15) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #253: mergings( V11 == V10, V9 == V10, V8 == V12; #249 ), references = 1, size of lhs = 27:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V0), P_difference-{F}(V2,V3,V2), P_difference-{F}(V0,V3,V0), P_difference-{F}(V1,V3,V1), P_difference-{F}(V3,V3,V4), P_difference-{F}(V4,V3,V3), P_difference-{F}(V4,V4,V3), P_difference-{F}(V3,V4,V4), P_difference-{F}(V0,V5,V0), P_difference-{F}(V2,V5,V2), P_difference-{F}(V1,V5,V1), P_difference-{F}(V5,V5,V6), P_difference-{F}(V6,V6,V5), P_difference-{F}(V5,V6,V6), P_difference-{F}(V6,V5,V5), P_difference-{F}(V7,V5,V5), P_difference-{F}(V0,V8,V7), P_difference-{F}(V8,V5,V0), P_difference-{F}(V2,V9,V10), P_difference-{F}(V0,V9,V11), P_difference-{F}(V10,V12,V12), P_difference-{F}(V11,V12,V8), P_difference-{F}(V12,V12,V13), P_difference-{F}(V13,V12,V12) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #257: exists( #4, #255 ), references = 4, size of lhs = 5:
% 13.31/13.52 P_difference-{F}(V0,V1,V0), P_difference-{F}(V2,V1,V2), P_difference-{F}(V3,V2,V1), P_difference-{F}(V0,V3,V4), P_difference-{F}(V4,V2,V5) | P_difference-{T}(V0,V2,V5)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #276: mergings( V9 == V8, V7 == V8, V6 == V10; #272 ), references = 1, size of lhs = 14:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V0,V4,V3), P_difference-{F}(V4,V1,V5), P_difference-{F}(V2,V5,V2), P_difference-{F}(V2,V1,V5), P_difference-{F}(V0,V5,V0), P_difference-{F}(V1,V5,V1), P_difference-{F}(V5,V5,V6), P_difference-{F}(V6,V5,V5), P_difference-{F}(V6,V6,V5), P_difference-{F}(V5,V6,V6) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #288: mergings( V4 == V6; #286 ), references = 3, size of lhs = 7:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V1,V2,V5), P_difference-{F}(V3,V5,V4) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #307: exists( #4, #305 ), references = 2, size of lhs = 20:
% 13.31/13.52 P_difference-{F}(V0,V0,V1), P_difference-{F}(V1,V0,V0), P_difference-{F}(V1,V1,V0), P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V1,V2), P_difference-{F}(V3,V1,V3), P_difference-{F}(V4,V1,V1), P_difference-{F}(V2,V5,V4), P_difference-{F}(V5,V1,V6), P_difference-{F}(V7,V1,V7), P_difference-{F}(V3,V8,V7), P_difference-{F}(V8,V6,V9), P_difference-{F}(V8,V3,V10), P_difference-{F}(V10,V6,V11), P_difference-{F}(V9,V11,V12), P_difference-{F}(V2,V13,V14), P_difference-{F}(V8,V13,V15), P_difference-{F}(V10,V13,V16), P_difference-{F}(V15,V16,V17), P_difference-{F}(V14,V17,V5) | P_difference-{T}(V3,V7,V12)
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #324: mergings( V10 == V12, V20 == V18, V12 == V18, V9 == V21; #319 ), references = 1, size of lhs = 34:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4), P_difference-{F}(V1,V3,V5), P_difference-{F}(V3,V6,V3), P_difference-{F}(V1,V6,V1), P_difference-{F}(V3,V7,V3), P_difference-{F}(V7,V1,V6), P_difference-{F}(V8,V3,V7), P_difference-{F}(V3,V8,V9), P_difference-{F}(V1,V8,V10), P_difference-{F}(V9,V10,V11), P_difference-{F}(V11,V3,V12), P_difference-{F}(V7,V12,V7), P_difference-{F}(V3,V12,V3), P_difference-{F}(V1,V12,V1), P_difference-{F}(V13,V12,V13), P_difference-{F}(V12,V12,V14), P_difference-{F}(V14,V12,V12), P_difference-{F}(V14,V14,V12), P_difference-{F}(V12,V14,V14), P_difference-{F}(V15,V12,V12), P_difference-{F}(V13,V16,V15), P_difference-{F}(V16,V12,V17), P_difference-{F}(V1,V17,V18), P_difference-{F}(V5,V17,V19), P_difference-{F}(V18,V19,V4), P_difference-{F}(V13,V20,V21), P_difference-{F}(V1,V20,V22), P_difference-{F}(V5,V20,V23), P_difference-{F}(V22,V23,V24), P_difference-{F}(V21,V24,V16) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #344: mergings( V7 == V8, V9 == V15, V12 == V14, V23 == V22, V14 == V22, V11 == V24, V15 == V6, V6 == V8, V10 == V8, V8 == V24, V22 == V24; #332 ), references = 1, size of lhs = 25:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4), P_difference-{F}(V3,V3,V5), P_difference-{F}(V5,V1,V5), P_difference-{F}(V5,V3,V5), P_difference-{F}(V3,V5,V3), P_difference-{F}(V1,V5,V1), P_difference-{F}(V5,V5,V5), P_difference-{F}(V6,V5,V6), P_difference-{F}(V6,V3,V7), P_difference-{F}(V7,V5,V8), P_difference-{F}(V6,V8,V9), P_difference-{F}(V9,V5,V5), P_difference-{F}(V8,V5,V10), P_difference-{F}(V10,V3,V10), P_difference-{F}(V1,V10,V11), P_difference-{F}(V12,V10,V3), P_difference-{F}(V1,V12,V13), P_difference-{F}(V3,V12,V14), P_difference-{F}(V13,V14,V15), P_difference-{F}(V15,V10,V16), P_difference-{F}(V11,V16,V4) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #355: exists( #4, #353 ), references = 1, size of lhs = 25:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V1,V2,V5), P_difference-{F}(V6,V5,V4), P_difference-{F}(V3,V7,V6), P_difference-{F}(V7,V8,V5), P_difference-{F}(V8,V7,V9), P_difference-{F}(V3,V10,V3), P_difference-{F}(V8,V10,V8), P_difference-{F}(V9,V10,V9), P_difference-{F}(V10,V10,V11), P_difference-{F}(V11,V11,V10), P_difference-{F}(V10,V11,V11), P_difference-{F}(V11,V10,V10), P_difference-{F}(V12,V10,V10), P_difference-{F}(V3,V13,V12), P_difference-{F}(V13,V10,V3), P_difference-{F}(V8,V14,V15), P_difference-{F}(V9,V14,V16), P_difference-{F}(V15,V16,V17), P_difference-{F}(V3,V14,V18), P_difference-{F}(V18,V17,V13) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #366: mergings( V15 == V14, V13 == V14, V12 == V16; #362 ), references = 1, size of lhs = 30:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4), P_difference-{F}(V4,V1,V5), P_difference-{F}(V4,V5,V4), P_difference-{F}(V3,V5,V3), P_difference-{F}(V1,V5,V1), P_difference-{F}(V5,V5,V6), P_difference-{F}(V6,V5,V5), P_difference-{F}(V6,V6,V5), P_difference-{F}(V5,V6,V6), P_difference-{F}(V1,V7,V4), P_difference-{F}(V7,V1,V8), P_difference-{F}(V3,V9,V3), P_difference-{F}(V7,V9,V7), P_difference-{F}(V8,V9,V8), P_difference-{F}(V9,V9,V10), P_difference-{F}(V10,V10,V9), P_difference-{F}(V9,V10,V10), P_difference-{F}(V10,V9,V9), P_difference-{F}(V11,V9,V9), P_difference-{F}(V3,V12,V11), P_difference-{F}(V12,V9,V3), P_difference-{F}(V7,V13,V14), P_difference-{F}(V8,V13,V15), P_difference-{F}(V14,V15,V16), P_difference-{F}(V3,V13,V17), P_difference-{F}(V17,V16,V12) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #376: mergings( V5 == V23, V13 == V12, V11 == V12, V10 == V14; #371 ), references = 1, size of lhs = 33:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V2,V2,V4), P_difference-{F}(V3,V2,V5), P_difference-{F}(V1,V1,V6), P_difference-{F}(V2,V1,V7), P_difference-{F}(V8,V1,V7), P_difference-{F}(V8,V2,V9), P_difference-{F}(V6,V7,V10), P_difference-{F}(V3,V10,V3), P_difference-{F}(V1,V10,V1), P_difference-{F}(V2,V10,V2), P_difference-{F}(V10,V10,V11), P_difference-{F}(V11,V10,V10), P_difference-{F}(V11,V11,V10), P_difference-{F}(V10,V11,V11), P_difference-{F}(V9,V12,V12), P_difference-{F}(V12,V12,V13), P_difference-{F}(V13,V12,V12), P_difference-{F}(V4,V12,V14), P_difference-{F}(V5,V14,V15), P_difference-{F}(V3,V15,V16), P_difference-{F}(V16,V17,V17), P_difference-{F}(V3,V17,V3), P_difference-{F}(V2,V17,V2), P_difference-{F}(V7,V17,V7), P_difference-{F}(V15,V17,V3), P_difference-{F}(V17,V17,V18), P_difference-{F}(V18,V18,V17), P_difference-{F}(V17,V18,V18), P_difference-{F}(V18,V17,V17) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #386: mergings( V5 == V6, V9 == V11, V17 == V18, V20 == V19, V18 == V19, V16 == V21; #379 ), references = 1, size of lhs = 29:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V2,V2,V4), P_difference-{F}(V3,V2,V5), P_difference-{F}(V1,V1,V6), P_difference-{F}(V4,V7,V7), P_difference-{F}(V7,V7,V8), P_difference-{F}(V8,V7,V7), P_difference-{F}(V5,V7,V9), P_difference-{F}(V3,V9,V10), P_difference-{F}(V10,V11,V11), P_difference-{F}(V3,V11,V3), P_difference-{F}(V9,V11,V3), P_difference-{F}(V2,V11,V2), P_difference-{F}(V1,V11,V1), P_difference-{F}(V11,V11,V12), P_difference-{F}(V12,V12,V11), P_difference-{F}(V11,V12,V12), P_difference-{F}(V12,V11,V11), P_difference-{F}(V6,V13,V13), P_difference-{F}(V3,V13,V3), P_difference-{F}(V1,V13,V1), P_difference-{F}(V2,V13,V2), P_difference-{F}(V13,V13,V14), P_difference-{F}(V14,V13,V13), P_difference-{F}(V14,V14,V13), P_difference-{F}(V13,V14,V14) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #404: mergings( V4 == V5, V7 == V9, V8 == V10, V10 == V11, V11 == V12, V13 == V15, V17 == V16, V12 == V15, V9 == V14, V15 == V16, V14 == V18; #392 ), references = 1, size of lhs = 14:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_difference-{F}(V2,V2,V3), P_difference-{F}(V1,V1,V4), P_difference-{F}(V3,V5,V5), P_difference-{F}(V4,V5,V5), P_difference-{F}(V1,V5,V1), P_difference-{F}(V0,V5,V0), P_difference-{F}(V2,V5,V2), P_difference-{F}(V5,V5,V6), P_difference-{F}(V6,V5,V5), P_difference-{F}(V6,V6,V5), P_difference-{F}(V5,V6,V6) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #413: exists( #4, #411 ), references = 1, size of lhs = 3:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #415: exists( #7, #412 ), references = 1, size of lhs = 2:
% 13.31/13.52 P_a-{F}(V0), P_c-{F}(V1) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #417: exists( #6, #414 ), references = 1, size of lhs = 1:
% 13.31/13.52 P_a-{F}(V0) | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 #419: exists( #5, #416 ), references = 1, size of lhs = 0:
% 13.31/13.52 FALSE | FALSE
% 13.31/13.52 (used 0 times, uses = {})
% 13.31/13.52
% 13.31/13.52 number of learnt formulas = 45
% 13.31/13.52
% 13.31/13.52
% 13.31/13.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.31/13.53
% 13.31/13.53 randbase = 1
%------------------------------------------------------------------------------