TSTP Solution File: ROB003-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:15:10 EDT 2022
% Result : Unsatisfiable 4.29s 4.47s
% Output : Refutation 4.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 11:17:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.29/4.47 GeoParameters:
% 4.29/4.47
% 4.29/4.47 tptp_input = 1
% 4.29/4.47 tptp_output = 0
% 4.29/4.47 nonempty = 1
% 4.29/4.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/4.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.29/4.47
% 4.29/4.47
% 4.29/4.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/4.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/4.47
% 4.29/4.47 RuleSystem INPUT:
% 4.29/4.47
% 4.29/4.47 Initial Rules:
% 4.29/4.47 #0: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #1: input, references = 4, size of lhs = 5:
% 4.29/4.47 P_add-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V1,V2,V5), P_add-{F}(V0,V5,V6), V4 == V6 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #2: input, references = 9, size of lhs = 8:
% 4.29/4.47 P_add-{F}(V0,V1,V2), P_negate-{F}(V2,V3), P_negate-{F}(V1,V4), P_add-{F}(V0,V4,V5), P_negate-{F}(V5,V6), P_add-{F}(V3,V6,V7), P_negate-{F}(V7,V8), V8 == V0 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #3: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V0 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #4: input, references = 7, size of lhs = 10:
% 4.29/4.47 P_c-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_negate-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_negate-{F}(V4,V5), P_negate-{F}(V1,V6), P_add-{F}(V6,V3,V7), P_negate-{F}(V7,V8), P_add-{F}(V5,V8,V2) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #5: input, references = 18, size of lhs = 2:
% 4.29/4.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #6: input, references = 21, size of lhs = 1:
% 4.29/4.47 #-{F} V0 | EXISTS V1: P_negate-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #7: input, references = 4, size of lhs = 0:
% 4.29/4.47 FALSE | EXISTS V0: P_c-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #8: input, references = 4, size of lhs = 0:
% 4.29/4.47 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #9: input, references = 4, size of lhs = 0:
% 4.29/4.47 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of initial rules = 10
% 4.29/4.47
% 4.29/4.47 Simplifiers:
% 4.29/4.47 #10: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #11: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_negate-{F}(V0,V1), P_negate-{F}(V0,V3), V1 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #12: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #13: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #14: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of simplifiers = 5
% 4.29/4.47
% 4.29/4.47 Learnt:
% 4.29/4.47 #16: exists( #5, #3 ), references = 29, size of lhs = 2:
% 4.29/4.47 P_c-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #19: exists( #5, #0 ), references = 38, size of lhs = 1:
% 4.29/4.47 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #20: exists( #5, #1 ), references = 7, size of lhs = 3:
% 4.29/4.47 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V3,V4), P_add-{F}(V0,V4,V5) | P_add-{T}(V2,V3,V5)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #22: exists( #6, #2 ), references = 31, size of lhs = 6:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V4,V6,V7) | P_negate-{T}(V7,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #25: exists( #5, #23 ), references = 3, size of lhs = 11:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V4), P_negate-{F}(V8,V6), P_negate-{F}(V9,V10), P_add-{F}(V11,V9,V7), V2 == V11, P_add-{F}(V11,V10,V8) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #27: exists( #6, #24 ), references = 2, size of lhs = 7:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V2,V1,V3), P_negate-{F}(V4,V5), P_add-{F}(V6,V4,V3), V2 == V6, P_add-{F}(V6,V5,V3) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #31: exists( #6, #25 ), references = 5, size of lhs = 9:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V2,V1,V4), P_negate-{F}(V4,V5), P_negate-{F}(V6,V5), P_negate-{F}(V7,V8), P_add-{F}(V9,V7,V3), V2 == V9, P_add-{F}(V9,V8,V6) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #34: exists( #5, #32 ), references = 2, size of lhs = 7:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V1,V3), V2 == V0, P_negate-{F}(V3,V4), P_negate-{F}(V2,V5), P_add-{F}(V0,V5,V6), P_negate-{F}(V6,V4) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #42: exists( #5, #40 ), references = 1, size of lhs = 10:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_negate-{F}(V3,V2), P_add-{F}(V1,V4,V3), P_negate-{F}(V5,V6), P_add-{F}(V4,V5,V7), P_negate-{F}(V7,V8), P_add-{F}(V4,V6,V9), P_negate-{F}(V9,V10) | P_add-{T}(V8,V10,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #47: mergings( V0 == V5, V5 == V2; #44 ), references = 1, size of lhs = 11:
% 4.29/4.47 P_c-{F}(V0), P_a-{F}(V1), P_add-{F}(V1,V0,V0), P_b-{F}(V2), P_negate-{F}(V2,V0), P_negate-{F}(V1,V3), P_add-{F}(V3,V0,V0), P_add-{F}(V2,V4,V0), P_add-{F}(V4,V5,V0), P_negate-{F}(V5,V6), P_add-{F}(V4,V6,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #69: exists( #5, #63 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V6), P_negate-{F}(V8,V4), P_add-{F}(V9,V10,V4), P_add-{F}(V10,V6,V11), P_negate-{F}(V12,V13), P_add-{F}(V14,V12,V7), V2 == V14, P_add-{F}(V14,V13,V8) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #70: exists( #5, #64 ), references = 4, size of lhs = 14:
% 4.29/4.47 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_negate-{F}(V4,V3), P_add-{F}(V5,V1,V4), P_add-{F}(V5,V0,V6), P_negate-{F}(V6,V7), P_add-{F}(V7,V2,V8), P_negate-{F}(V9,V5), P_add-{F}(V10,V11,V7), P_add-{F}(V11,V3,V12), P_negate-{F}(V13,V14), P_add-{F}(V15,V13,V8), V7 == V15, P_add-{F}(V15,V14,V9) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #71: exists( #5, #65 ), references = 3, size of lhs = 16:
% 4.29/4.47 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V4,V2,V5), P_negate-{F}(V5,V6), P_add-{F}(V4,V3,V7), P_negate-{F}(V7,V8), P_add-{F}(V8,V0,V9), P_negate-{F}(V9,V10), V4 == V10, P_add-{F}(V8,V1,V11), P_negate-{F}(V11,V12), P_negate-{F}(V13,V12), P_add-{F}(V10,V13,V14), P_negate-{F}(V14,V6), P_add-{F}(V15,V16,V10), P_add-{F}(V16,V12,V17) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #95: exists( #5, #91 ), references = 1, size of lhs = 11:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V6), P_negate-{F}(V8,V4), P_negate-{F}(V9,V10), P_add-{F}(V11,V9,V7), V2 == V11, P_add-{F}(V11,V10,V8) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #97: exists( #6, #94 ), references = 3, size of lhs = 9:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V6,V4), P_negate-{F}(V7,V8), P_add-{F}(V9,V7,V5), V2 == V9, P_add-{F}(V9,V8,V6) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #100: exists( #5, #98 ), references = 3, size of lhs = 7:
% 4.29/4.47 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), V2 == V1, P_negate-{F}(V3,V4), P_negate-{F}(V2,V5), P_add-{F}(V1,V5,V6), P_negate-{F}(V6,V4) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #106: mergings( V4 == V5; #104 ), references = 11, size of lhs = 9:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V0,V1), P_negate-{F}(V2,V1), P_add-{F}(V1,V3,V2), P_negate-{F}(V4,V5), P_add-{F}(V3,V4,V6), P_negate-{F}(V6,V7), P_add-{F}(V3,V5,V8), P_negate-{F}(V8,V9) | P_add-{T}(V7,V9,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #123: exists( #5, #119 ), references = 20, size of lhs = 7:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V3,V1,V3), P_negate-{F}(V3,V4), P_negate-{F}(V5,V2), P_add-{F}(V6,V4,V5) | P_add-{T}(V6,V3,V6)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #124: exists( #5, #120 ), references = 3, size of lhs = 7:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V0,V1), P_negate-{F}(V2,V0), P_negate-{F}(V3,V1), P_add-{F}(V4,V2,V4), P_negate-{F}(V5,V4), P_add-{F}(V6,V5,V3) | P_add-{T}(V6,V4,V6)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #143: exists( #6, #139 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), P_negate-{F}(V3,V4), V3 == V4, P_add-{F}(V4,V0,V0), P_negate-{F}(V5,V4), P_add-{F}(V3,V5,V4), P_add-{F}(V0,V6,V0), P_negate-{F}(V6,V7), P_add-{F}(V0,V7,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #144: exists( #6, #140 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), P_negate-{F}(V3,V4), V4 == V3, P_add-{F}(V4,V0,V0), P_negate-{F}(V5,V4), P_add-{F}(V3,V5,V4), P_add-{F}(V0,V6,V0), P_negate-{F}(V6,V7), P_add-{F}(V0,V7,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #175: exists( #6, #170 ), references = 2, size of lhs = 17:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), P_negate-{F}(V3,V4), P_add-{F}(V4,V0,V0), P_negate-{F}(V5,V4), P_add-{F}(V3,V5,V0), P_negate-{F}(V6,V4), P_add-{F}(V3,V6,V7), P_add-{F}(V8,V4,V7), V3 == V8, P_add-{F}(V8,V3,V0), P_add-{F}(V0,V9,V0), P_negate-{F}(V9,V10), P_add-{F}(V0,V10,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #177: mergings( V0 == V12; #174 ), references = 2, size of lhs = 18:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), V0 == V3, P_negate-{F}(V3,V4), P_add-{F}(V4,V0,V0), P_negate-{F}(V5,V4), P_add-{F}(V3,V5,V0), P_negate-{F}(V6,V4), P_add-{F}(V3,V6,V0), P_add-{F}(V0,V7,V0), P_negate-{F}(V7,V8), P_add-{F}(V0,V8,V0), P_add-{F}(V0,V9,V0), P_negate-{F}(V9,V10), P_add-{F}(V0,V10,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #206: mergings( V7 == V9; #204 ), references = 2, size of lhs = 15:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), P_negate-{F}(V3,V4), P_add-{F}(V4,V0,V0), P_negate-{F}(V5,V4), P_add-{F}(V3,V5,V6), V3 == V6, P_add-{F}(V6,V0,V0), P_add-{F}(V7,V3,V6), P_add-{F}(V0,V8,V0), P_negate-{F}(V8,V9), P_add-{F}(V0,V9,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #209: exists( #5, #207 ), references = 2, size of lhs = 10:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0), P_negate-{F}(V3,V4), P_add-{F}(V4,V0,V0), P_add-{F}(V0,V5,V0), P_negate-{F}(V5,V6), P_add-{F}(V0,V6,V0) | P_add-{T}(V3,V3,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #224: exists( #5, #218 ), references = 1, size of lhs = 15:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V0,V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_negate-{F}(V0,V5), P_add-{F}(V5,V0,V0), P_negate-{F}(V6,V7), P_add-{F}(V5,V6,V8), P_negate-{F}(V8,V9), P_add-{F}(V5,V7,V10), P_negate-{F}(V10,V11) | P_add-{T}(V11,V9,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #225: exists( #5, #219 ), references = 1, size of lhs = 15:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_negate-{F}(V0,V5), P_add-{F}(V5,V0,V0), P_add-{F}(V0,V5,V0), P_negate-{F}(V6,V7), P_add-{F}(V5,V6,V8), P_negate-{F}(V8,V9), P_add-{F}(V5,V7,V10), P_negate-{F}(V10,V11) | P_add-{T}(V11,V9,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #226: exists( #5, #220 ), references = 1, size of lhs = 17:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_add-{F}(V0,V5,V0), P_negate-{F}(V5,V6), P_add-{F}(V0,V6,V0), P_negate-{F}(V0,V7), P_add-{F}(V7,V0,V0), P_negate-{F}(V8,V9), P_add-{F}(V7,V8,V10), P_negate-{F}(V10,V11), P_add-{F}(V7,V9,V12), P_negate-{F}(V12,V13) | P_add-{T}(V13,V11,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #240: mergings( V0 == V2; #238 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V1), P_add-{F}(V1,V0,V0), P_negate-{F}(V1,V2), P_add-{F}(V2,V0,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_add-{F}(V0,V5,V0), P_negate-{F}(V5,V6), P_add-{F}(V0,V6,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #245: mergings( V2 == V3; #243 ), references = 1, size of lhs = 6:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V1), P_add-{F}(V1,V0,V0), P_add-{F}(V0,V1,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #255: mergings( V5 == V8, V2 == V3, V3 == V6; #251 ), references = 1, size of lhs = 12:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_a-{F}(V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_b-{F}(V3), P_negate-{F}(V0,V4), P_add-{F}(V5,V4,V3), P_add-{F}(V5,V6,V3), P_negate-{F}(V6,V7), P_add-{F}(V5,V7,V8), P_negate-{F}(V8,V2) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #265: exists( #6, #259 ), references = 1, size of lhs = 3:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_add-{F}(V1,V0,V0) | P_negate-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #291: exists( #6, #285 ), references = 1, size of lhs = 12:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_negate-{F}(V5,V5), P_add-{F}(V5,V0,V0), P_negate-{F}(V6,V7), P_add-{F}(V8,V6,V5), P_add-{F}(V8,V7,V5) | P_negate-{T}(V0,V8)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #294: mergings( V2 == V3, V3 == V4; #289 ), references = 1, size of lhs = 11:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V1), P_add-{F}(V1,V0,V0), P_add-{F}(V1,V1,V2), P_negate-{F}(V2,V3), P_add-{F}(V0,V4,V0), P_negate-{F}(V4,V5), P_add-{F}(V0,V5,V0), P_add-{F}(V0,V6,V0), P_negate-{F}(V6,V7), P_add-{F}(V0,V7,V0) | P_negate-{T}(V0,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #296: mergings( V4 == V5; #290 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_c-{F}(V0), P_add-{F}(V0,V1,V0), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_negate-{F}(V3,V4), P_add-{F}(V0,V4,V0), P_negate-{F}(V5,V5), P_add-{F}(V5,V0,V0), P_negate-{F}(V6,V5), P_negate-{F}(V7,V8), P_add-{F}(V9,V7,V5), P_add-{F}(V9,V8,V6) | P_negate-{T}(V0,V9)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #326: mergings( V6 == V7, V7 == V8, V3 == V4; #320 ), references = 1, size of lhs = 12:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_negate-{F}(V3,V4), P_add-{F}(V5,V3,V6), P_negate-{F}(V6,V7), P_add-{F}(V5,V4,V8), P_negate-{F}(V8,V9), P_add-{F}(V2,V5,V10), P_negate-{F}(V10,V11) | P_add-{T}(V9,V7,V11)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #329: mergings( V6 == V7, V3 == V4; #321 ), references = 1, size of lhs = 14:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_negate-{F}(V3,V4), P_negate-{F}(V5,V6), P_add-{F}(V7,V5,V0), P_add-{F}(V7,V6,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V3,V10), P_negate-{F}(V10,V11), P_add-{F}(V9,V4,V12), P_negate-{F}(V12,V13) | P_add-{T}(V13,V11,V7)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #332: mergings( V6 == V7, V3 == V4; #322 ), references = 1, size of lhs = 14:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_negate-{F}(V3,V4), P_negate-{F}(V5,V6), P_add-{F}(V7,V6,V0), P_add-{F}(V7,V5,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V3,V10), P_negate-{F}(V10,V11), P_add-{F}(V9,V4,V12), P_negate-{F}(V12,V13) | P_add-{T}(V13,V11,V7)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #340: mergings( V5 == V6, V6 == V7, V2 == V3, V3 == V8; #335 ), references = 2, size of lhs = 18:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V5,V6), P_negate-{F}(V3,V7), P_add-{F}(V7,V5,V8), P_negate-{F}(V8,V9), P_negate-{F}(V10,V9), P_negate-{F}(V11,V4), P_add-{F}(V2,V12,V11), P_add-{F}(V12,V13,V6), P_negate-{F}(V13,V14), P_add-{F}(V12,V14,V10) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #348: mergings( V6 == V7, V7 == V8, V11 == V16, V3 == V4, V4 == V9; #342 ), references = 2, size of lhs = 15:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V4), P_negate-{F}(V4,V5), P_add-{F}(V2,V5,V6), P_negate-{F}(V6,V4), P_negate-{F}(V3,V7), P_add-{F}(V7,V5,V8), P_negate-{F}(V8,V9), P_add-{F}(V5,V7,V10), P_negate-{F}(V10,V9) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #356: exists( #6, #348 ), references = 1, size of lhs = 13:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V4), P_negate-{F}(V4,V5), P_add-{F}(V2,V5,V6), P_negate-{F}(V6,V4), P_negate-{F}(V3,V7), P_add-{F}(V7,V5,V8), P_add-{F}(V5,V7,V8) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #357: exists( #6, #340 ), references = 1, size of lhs = 16:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V5,V6), P_negate-{F}(V3,V7), P_add-{F}(V7,V5,V8), P_negate-{F}(V9,V4), P_add-{F}(V2,V10,V9), P_add-{F}(V10,V11,V6), P_negate-{F}(V11,V12), P_add-{F}(V10,V12,V8) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #362: exists( #5, #358 ), references = 1, size of lhs = 11:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V0,V2), P_add-{F}(V2,V1,V2), P_negate-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V4), P_negate-{F}(V4,V5), P_add-{F}(V2,V5,V6), P_negate-{F}(V6,V4), P_negate-{F}(V3,V7) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #371: mergings( V6 == V2, V5 == V8, V3 == V2; #367 ), references = 1, size of lhs = 14:
% 4.29/4.47 P_c-{F}(V0), P_negate-{F}(V1,V0), P_negate-{F}(V2,V0), P_negate-{F}(V0,V3), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V2,V3), P_negate-{F}(V3,V0), P_a-{F}(V4), P_b-{F}(V5), P_negate-{F}(V4,V6), P_add-{F}(V5,V7,V5), P_negate-{F}(V7,V8), P_add-{F}(V5,V8,V9), P_negate-{F}(V9,V3) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #377: exists( #6, #375 ), references = 1, size of lhs = 11:
% 4.29/4.47 P_c-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V2,V0,V0), P_negate-{F}(V1,V3), P_add-{F}(V0,V4,V0), P_negate-{F}(V4,V5), P_add-{F}(V0,V5,V0), P_add-{F}(V0,V6,V0), P_negate-{F}(V6,V7), P_add-{F}(V0,V7,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #381: exists( #6, #379 ), references = 1, size of lhs = 5:
% 4.29/4.47 P_c-{F}(V0), P_a-{F}(V1), P_add-{F}(V0,V1,V0), P_b-{F}(V2), P_add-{F}(V2,V0,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #384: exists( #9, #382 ), references = 2, size of lhs = 3:
% 4.29/4.47 P_c-{F}(V0), P_a-{F}(V1), P_add-{F}(V0,V1,V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #388: exists( #8, #386 ), references = 1, size of lhs = 1:
% 4.29/4.47 P_c-{F}(V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #390: exists( #7, #387 ), references = 1, size of lhs = 0:
% 4.29/4.47 FALSE | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of learnt formulas = 49
% 4.29/4.47
% 4.29/4.47
% 4.29/4.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/4.47
% 4.29/4.47 randbase = 1
%------------------------------------------------------------------------------