TSTP Solution File: NUM001-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:11:57 EDT 2022
% Result : Unsatisfiable 2.70s 2.88s
% Output : Refutation 2.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 23:22:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.70/2.88 GeoParameters:
% 2.70/2.88
% 2.70/2.88 tptp_input = 1
% 2.70/2.88 tptp_output = 0
% 2.70/2.88 nonempty = 1
% 2.70/2.88 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/2.88 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.70/2.88
% 2.70/2.88
% 2.70/2.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/2.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/2.88
% 2.70/2.88 RuleSystem INPUT:
% 2.70/2.88
% 2.70/2.88 Initial Rules:
% 2.70/2.88 #0: input, references = 16, size of lhs = 1:
% 2.70/2.88 #-{F} V0 | equalish-{T}(V0,V0)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #1: input, references = 43, size of lhs = 2:
% 2.70/2.88 equalish-{F}(V0,V1), equalish-{F}(V2,V0) | equalish-{T}(V2,V1)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #2: input, references = 19, size of lhs = 2:
% 2.70/2.88 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3) | equalish-{T}(V2,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #3: input, references = 22, size of lhs = 4:
% 2.70/2.88 P_add-{F}(V1,V2,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V1,V5), P_add-{F}(V5,V2,V6) | equalish-{T}(V4,V6)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #4: input, references = 13, size of lhs = 2:
% 2.70/2.88 P_add-{F}(V0,V1,V2), P_subtract-{F}(V2,V1,V3) | equalish-{T}(V3,V0)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #5: input, references = 12, size of lhs = 2:
% 2.70/2.88 P_add-{F}(V0,V1,V2), P_subtract-{F}(V2,V1,V3) | equalish-{T}(V0,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #6: input, references = 12, size of lhs = 4:
% 2.70/2.88 P_subtract-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V0,V2,V5), P_subtract-{F}(V5,V1,V6) | equalish-{T}(V4,V6)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #7: input, references = 12, size of lhs = 4:
% 2.70/2.88 P_add-{F}(V0,V1,V3), P_subtract-{F}(V3,V2,V4), P_subtract-{F}(V0,V2,V5), P_add-{F}(V5,V1,V6) | equalish-{T}(V4,V6)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #8: input, references = 16, size of lhs = 4:
% 2.70/2.88 P_add-{F}(V0,V2,V3), P_add-{F}(V4,V2,V5), equalish-{F}(V4,V0), equalish-{F}(V1,V5) | equalish-{T}(V1,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #9: input, references = 22, size of lhs = 4:
% 2.70/2.88 P_add-{F}(V2,V0,V3), P_add-{F}(V2,V4,V5), equalish-{F}(V4,V0), equalish-{F}(V1,V5) | equalish-{T}(V1,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #10: input, references = 3, size of lhs = 4:
% 2.70/2.88 P_subtract-{F}(V0,V2,V3), P_subtract-{F}(V4,V2,V5), equalish-{F}(V4,V0), equalish-{F}(V1,V5) | equalish-{T}(V1,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #11: input, references = 3, size of lhs = 4:
% 2.70/2.88 P_subtract-{F}(V2,V0,V3), P_subtract-{F}(V2,V4,V5), equalish-{F}(V4,V0), equalish-{F}(V1,V5) | equalish-{T}(V1,V3)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #12: input, references = 4, size of lhs = 8:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V3,V5), P_add-{F}(V0,V5,V6), equalish-{F}(V4,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #13: input, references = 41, size of lhs = 2:
% 2.70/2.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #14: input, references = 6, size of lhs = 2:
% 2.70/2.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_subtract-{T}(V0,V1,V2)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #15: input, references = 4, size of lhs = 0:
% 2.70/2.88 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #16: input, references = 4, size of lhs = 0:
% 2.70/2.88 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #17: input, references = 5, size of lhs = 0:
% 2.70/2.88 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 number of initial rules = 18
% 2.70/2.88
% 2.70/2.88 Simplifiers:
% 2.70/2.88 #18: unsound, references = 3, size of lhs = 3:
% 2.70/2.88 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #19: unsound, references = 3, size of lhs = 3:
% 2.70/2.88 P_subtract-{F}(V0,V1,V2), P_subtract-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #20: unsound, references = 3, size of lhs = 3:
% 2.70/2.88 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #21: unsound, references = 3, size of lhs = 3:
% 2.70/2.88 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #22: unsound, references = 3, size of lhs = 3:
% 2.70/2.88 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 number of simplifiers = 5
% 2.70/2.88
% 2.70/2.88 Learnt:
% 2.70/2.88 #25: exists( #13, #23 ), references = 4, size of lhs = 9:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V2,V3,V4), equalish-{F}(V4,V5), P_add-{F}(V1,V3,V6), P_add-{F}(V0,V7,V5), equalish-{F}(V7,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #28: exists( #13, #26 ), references = 1, size of lhs = 6:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V0), P_add-{F}(V0,V0,V1), P_c-{F}(V2), P_add-{F}(V1,V2,V2), P_add-{F}(V2,V0,V2) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #35: exists( #13, #32 ), references = 3, size of lhs = 9:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V2,V7), P_add-{F}(V7,V3,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #56: exists( #13, #52 ), references = 7, size of lhs = 10:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V2,V7), P_add-{F}(V7,V3,V8), equalish-{F}(V8,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #89: exists( #13, #85 ), references = 2, size of lhs = 9:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), P_add-{F}(V3,V2,V7), equalish-{F}(V7,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #90: exists( #13, #86 ), references = 5, size of lhs = 10:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V2,V7), P_add-{F}(V3,V7,V8), equalish-{F}(V8,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #97: exists( #13, #93 ), references = 3, size of lhs = 11:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V7,V6), P_add-{F}(V8,V9,V2), P_add-{F}(V3,V8,V10), P_add-{F}(V10,V9,V7) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #98: exists( #13, #94 ), references = 4, size of lhs = 12:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V2,V7), equalish-{F}(V8,V6), P_add-{F}(V9,V10,V7), P_add-{F}(V3,V9,V11), P_add-{F}(V11,V10,V8) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #103: exists( #13, #99 ), references = 1, size of lhs = 8:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V0), P_add-{F}(V0,V0,V1), P_c-{F}(V2), P_add-{F}(V2,V0,V2), P_add-{F}(V3,V4,V1), P_add-{F}(V2,V3,V5), P_add-{F}(V5,V4,V2) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #104: exists( #13, #100 ), references = 1, size of lhs = 9:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V0), P_add-{F}(V0,V0,V1), P_c-{F}(V2), P_add-{F}(V2,V0,V2), equalish-{F}(V1,V3), P_add-{F}(V4,V5,V3), P_add-{F}(V2,V4,V6), P_add-{F}(V6,V5,V2) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #109: mergings( V2 == V3; #106 ), references = 1, size of lhs = 4:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_add-{F}(V1,V0,V1) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #126: exists( #13, #117 ), references = 1, size of lhs = 12:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V4,V5,V2), P_add-{F}(V3,V4,V6), P_add-{F}(V6,V5,V7), equalish-{F}(V7,V8), P_add-{F}(V0,V9,V8), P_add-{F}(V10,V3,V11), P_subtract-{F}(V11,V12,V9), P_subtract-{F}(V10,V12,V1) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #128: mergings( V4 == V8; #125 ), references = 1, size of lhs = 12:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V3,V1,V2), P_add-{F}(V0,V4,V2), P_subtract-{F}(V5,V6,V1), P_add-{F}(V5,V3,V7), P_subtract-{F}(V7,V6,V1), P_add-{F}(V8,V3,V9), P_subtract-{F}(V9,V10,V4), P_subtract-{F}(V8,V10,V1) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #129: exists( #13, #122 ), references = 1, size of lhs = 14:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V3,V1,V2), P_subtract-{F}(V4,V5,V1), P_add-{F}(V4,V3,V6), P_subtract-{F}(V6,V5,V7), P_add-{F}(V3,V7,V8), equalish-{F}(V8,V9), P_add-{F}(V0,V10,V9), P_add-{F}(V11,V3,V12), P_subtract-{F}(V12,V13,V10), P_subtract-{F}(V11,V13,V1) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #142: exists( #13, #137 ), references = 1, size of lhs = 10:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), P_add-{F}(V7,V8,V2), P_add-{F}(V3,V7,V9), P_add-{F}(V8,V9,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #143: exists( #13, #138 ), references = 3, size of lhs = 11:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), equalish-{F}(V2,V7), P_add-{F}(V8,V9,V7), P_add-{F}(V3,V8,V10), P_add-{F}(V9,V10,V6) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #146: exists( #13, #140 ), references = 2, size of lhs = 8:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), P_add-{F}(V5,V0,V2), P_add-{F}(V3,V5,V6), equalish-{F}(V6,V4) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #147: exists( #13, #141 ), references = 5, size of lhs = 9:
% 2.70/2.88 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V2,V5), P_add-{F}(V6,V0,V5), P_add-{F}(V3,V6,V7), equalish-{F}(V7,V4) | FALSE
% 2.70/2.88 (used 0 times, uses = {})
% 2.70/2.88
% 2.70/2.88 #152: exists( #13, #148 ), references = 1, size of lhs = 7:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V4,V0,V2), P_add-{F}(V3,V4,V5), P_add-{F}(V3,V1,V5) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #153: exists( #13, #149 ), references = 2, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), equalish-{F}(V2,V4), P_add-{F}(V5,V0,V4), P_add-{F}(V3,V5,V6), P_add-{F}(V3,V1,V6) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #155: exists( #13, #150 ), references = 1, size of lhs = 4:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_add-{F}(V1,V0,V2) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #157: exists( #13, #154 ), references = 1, size of lhs = 3:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #159: exists( #17, #156 ), references = 1, size of lhs = 2:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #167: exists( #13, #160 ), references = 3, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V1,V1,V2), equalish-{F}(V1,V2), P_add-{F}(V3,V4,V1), P_add-{F}(V0,V3,V5), P_add-{F}(V5,V4,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #168: exists( #13, #163 ), references = 3, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V1,V1,V2), equalish-{F}(V1,V2), P_add-{F}(V3,V4,V1), P_add-{F}(V0,V3,V5), P_add-{F}(V5,V4,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #169: exists( #13, #162 ), references = 1, size of lhs = 12:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V0,V4,V5), P_add-{F}(V2,V6,V7), P_add-{F}(V8,V7,V5), P_add-{F}(V6,V8,V9), P_add-{F}(V10,V11,V1), P_add-{F}(V0,V10,V12), P_add-{F}(V12,V11,V9) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #176: exists( #13, #172 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V4,V1), P_add-{F}(V0,V3,V5), P_add-{F}(V5,V4,V0), P_add-{F}(V6,V1,V7), P_add-{F}(V8,V7,V2), P_add-{F}(V8,V6,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #177: exists( #13, #173 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V4,V1), P_add-{F}(V0,V3,V5), P_add-{F}(V5,V4,V0), P_add-{F}(V6,V1,V7), P_add-{F}(V8,V7,V2), P_add-{F}(V8,V6,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #182: exists( #13, #178 ), references = 1, size of lhs = 9:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V1,V2), equalish-{F}(V3,V1), P_add-{F}(V4,V5,V1), P_add-{F}(V0,V4,V6), P_add-{F}(V6,V5,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #183: exists( #13, #179 ), references = 1, size of lhs = 9:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V1,V2), equalish-{F}(V3,V1), P_add-{F}(V4,V5,V1), P_add-{F}(V0,V4,V6), P_add-{F}(V6,V5,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #188: exists( #13, #184 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), equalish-{F}(V3,V1), P_add-{F}(V3,V4,V2), equalish-{F}(V4,V1), P_add-{F}(V5,V6,V1), P_add-{F}(V0,V5,V7), P_add-{F}(V7,V6,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #189: exists( #13, #185 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), equalish-{F}(V3,V1), P_add-{F}(V3,V4,V2), equalish-{F}(V4,V1), P_add-{F}(V5,V6,V1), P_add-{F}(V0,V5,V7), P_add-{F}(V7,V6,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #196: exists( #13, #190 ), references = 2, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V0,V4,V5), equalish-{F}(V6,V5), P_add-{F}(V7,V2,V6), P_add-{F}(V8,V9,V1), P_add-{F}(V0,V8,V10), P_add-{F}(V10,V9,V7) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #197: exists( #13, #191 ), references = 2, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V0,V4,V5), equalish-{F}(V6,V5), P_add-{F}(V2,V7,V6), P_add-{F}(V8,V9,V1), P_add-{F}(V0,V8,V10), P_add-{F}(V10,V9,V7) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #198: exists( #13, #192 ), references = 2, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V0,V4,V5), equalish-{F}(V6,V5), P_add-{F}(V2,V7,V8), P_add-{F}(V8,V9,V6), P_add-{F}(V7,V9,V10), P_add-{F}(V11,V12,V1), P_add-{F}(V0,V11,V13), P_add-{F}(V13,V12,V10) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #202: exists( #13, #200 ), references = 1, size of lhs = 15:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V3,V4), P_add-{F}(V0,V3,V5), equalish-{F}(V6,V5), P_add-{F}(V2,V7,V8), P_add-{F}(V8,V9,V6), P_add-{F}(V7,V9,V10), P_add-{F}(V11,V12,V1), P_add-{F}(V0,V11,V13), P_add-{F}(V13,V12,V10), P_add-{F}(V14,V2,V15), P_add-{F}(V16,V15,V4), P_add-{F}(V16,V14,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #213: exists( #13, #209 ), references = 4, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), equalish-{F}(V4,V5), P_add-{F}(V0,V6,V5), equalish-{F}(V6,V7), equalish-{F}(V8,V1), P_add-{F}(V8,V2,V7), P_add-{F}(V9,V10,V1), P_add-{F}(V0,V9,V11), P_add-{F}(V11,V10,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #214: exists( #13, #210 ), references = 4, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), P_add-{F}(V0,V5,V4), equalish-{F}(V5,V6), equalish-{F}(V7,V1), P_add-{F}(V7,V1,V6), P_add-{F}(V8,V9,V1), P_add-{F}(V0,V8,V10), P_add-{F}(V10,V9,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #227: exists( #13, #223 ), references = 2, size of lhs = 16:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V1), equalish-{F}(V4,V2), P_add-{F}(V3,V4,V5), equalish-{F}(V2,V6), P_add-{F}(V3,V6,V7), equalish-{F}(V7,V8), P_add-{F}(V0,V9,V8), equalish-{F}(V9,V10), equalish-{F}(V10,V5), P_add-{F}(V11,V12,V1), P_add-{F}(V0,V11,V13), P_add-{F}(V13,V12,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #228: exists( #13, #224 ), references = 2, size of lhs = 16:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), equalish-{F}(V2,V1), equalish-{F}(V3,V1), P_add-{F}(V2,V3,V4), equalish-{F}(V1,V5), P_add-{F}(V2,V5,V6), equalish-{F}(V6,V7), P_add-{F}(V0,V8,V7), equalish-{F}(V8,V9), equalish-{F}(V9,V4), P_add-{F}(V10,V11,V1), P_add-{F}(V0,V10,V12), P_add-{F}(V12,V11,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #241: exists( #13, #236 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V1,V3), equalish-{F}(V4,V1), P_add-{F}(V0,V4,V5), equalish-{F}(V0,V6), P_add-{F}(V6,V1,V7), P_add-{F}(V2,V7,V8), equalish-{F}(V8,V5) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #242: exists( #13, #237 ), references = 1, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V1,V3), equalish-{F}(V4,V1), P_add-{F}(V0,V4,V5), equalish-{F}(V0,V6), P_add-{F}(V6,V1,V7), equalish-{F}(V8,V5), P_add-{F}(V9,V10,V7), P_add-{F}(V2,V9,V11), P_add-{F}(V11,V10,V8) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #243: exists( #13, #235 ), references = 4, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V1,V3), equalish-{F}(V4,V1), P_add-{F}(V0,V4,V5), equalish-{F}(V1,V6), P_add-{F}(V0,V6,V7), P_add-{F}(V7,V2,V8), equalish-{F}(V8,V5) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #248: exists( #13, #244 ), references = 2, size of lhs = 12:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V3,V1), P_add-{F}(V0,V3,V4), equalish-{F}(V1,V5), P_add-{F}(V0,V5,V6), P_add-{F}(V6,V2,V7), equalish-{F}(V7,V4), P_add-{F}(V8,V2,V9), P_add-{F}(V10,V9,V1), P_add-{F}(V10,V8,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #255: exists( #13, #251 ), references = 2, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), P_c-{F}(V3), equalish-{F}(V4,V1), P_add-{F}(V0,V4,V5), equalish-{F}(V1,V6), P_add-{F}(V0,V6,V7), P_add-{F}(V7,V3,V8), equalish-{F}(V8,V5), P_add-{F}(V9,V3,V10), P_add-{F}(V11,V10,V2), P_add-{F}(V11,V9,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #259: exists( #13, #257 ), references = 1, size of lhs = 13:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), equalish-{F}(V2,V3), P_c-{F}(V4), equalish-{F}(V5,V1), P_add-{F}(V0,V5,V6), equalish-{F}(V1,V7), P_add-{F}(V0,V7,V8), P_add-{F}(V8,V4,V9), equalish-{F}(V9,V6), P_add-{F}(V10,V4,V3), equalish-{F}(V10,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #266: exists( #13, #264 ), references = 3, size of lhs = 16:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), equalish-{F}(V2,V3), equalish-{F}(V3,V4), P_c-{F}(V5), equalish-{F}(V6,V1), P_add-{F}(V0,V6,V7), equalish-{F}(V1,V8), P_add-{F}(V0,V8,V9), equalish-{F}(V9,V1), P_add-{F}(V9,V10,V4), equalish-{F}(V10,V5), equalish-{F}(V5,V11), P_add-{F}(V9,V11,V12), equalish-{F}(V12,V7) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #277: exists( #13, #275 ), references = 1, size of lhs = 15:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), P_c-{F}(V3), equalish-{F}(V4,V1), P_add-{F}(V0,V4,V5), equalish-{F}(V1,V6), P_add-{F}(V0,V6,V7), equalish-{F}(V7,V1), equalish-{F}(V3,V8), equalish-{F}(V8,V3), P_add-{F}(V9,V8,V2), equalish-{F}(V9,V7), equalish-{F}(V7,V10), P_add-{F}(V10,V8,V5) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #375: exists( #14, #371 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V2,V2,V1), P_add-{F}(V0,V2,V3), equalish-{F}(V3,V2), P_add-{F}(V0,V3,V2), P_add-{F}(V2,V3,V1), P_add-{F}(V3,V4,V5), P_add-{F}(V2,V4,V5), P_add-{F}(V1,V4,V5) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #376: exists( #14, #369 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V2,V2,V1), P_add-{F}(V0,V3,V2), equalish-{F}(V3,V2), P_add-{F}(V2,V4,V5), P_add-{F}(V1,V4,V5), P_add-{F}(V6,V7,V1), P_add-{F}(V0,V6,V8), P_add-{F}(V8,V7,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #377: exists( #14, #370 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V2,V2,V1), P_add-{F}(V0,V3,V2), equalish-{F}(V3,V2), P_add-{F}(V2,V4,V5), P_add-{F}(V1,V4,V5), P_add-{F}(V6,V7,V1), P_add-{F}(V0,V6,V8), P_add-{F}(V8,V7,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #500: exists( #14, #495 ), references = 1, size of lhs = 17:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V3,V2,V1), P_add-{F}(V0,V3,V4), P_add-{F}(V4,V2,V1), P_add-{F}(V4,V5,V6), P_add-{F}(V3,V5,V6), P_add-{F}(V7,V8,V1), P_add-{F}(V0,V7,V9), P_add-{F}(V9,V8,V1), P_subtract-{F}(V10,V5,V11), P_add-{F}(V11,V12,V1), P_add-{F}(V10,V12,V6), P_add-{F}(V13,V14,V6), P_subtract-{F}(V13,V5,V15), P_add-{F}(V15,V14,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #501: exists( #14, #496 ), references = 1, size of lhs = 17:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V2,V1,V1), P_add-{F}(V0,V2,V3), P_add-{F}(V3,V1,V1), P_add-{F}(V3,V4,V5), P_add-{F}(V2,V4,V5), P_add-{F}(V6,V7,V1), P_add-{F}(V0,V6,V8), P_add-{F}(V8,V7,V1), P_subtract-{F}(V9,V4,V10), P_add-{F}(V10,V11,V1), P_add-{F}(V9,V11,V5), P_add-{F}(V12,V13,V5), P_subtract-{F}(V12,V4,V14), P_add-{F}(V14,V13,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #502: exists( #14, #494 ), references = 1, size of lhs = 17:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V3,V2,V1), P_add-{F}(V0,V4,V3), P_add-{F}(V0,V5,V4), P_add-{F}(V4,V6,V7), P_add-{F}(V5,V6,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V10,V9,V1), P_add-{F}(V10,V8,V1), P_subtract-{F}(V11,V6,V12), P_add-{F}(V12,V13,V1), P_add-{F}(V11,V13,V7), P_add-{F}(V14,V15,V7), P_subtract-{F}(V14,V6,V16), P_add-{F}(V16,V15,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #557: exists( #13, #555 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V2,V5,V4), P_add-{F}(V5,V0,V6), P_subtract-{F}(V7,V8,V0), P_add-{F}(V7,V1,V9), P_subtract-{F}(V9,V8,V6) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #613: exists( #13, #611 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V2,V5,V4), P_add-{F}(V5,V0,V6), equalish-{F}(V7,V6), P_subtract-{F}(V8,V9,V0), P_add-{F}(V8,V1,V10), P_subtract-{F}(V10,V9,V7) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #616: exists( #14, #614 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V1,V2,V3), equalish-{F}(V4,V3), P_add-{F}(V2,V5,V4), P_add-{F}(V5,V0,V6), P_add-{F}(V6,V7,V8), P_subtract-{F}(V9,V7,V0), P_add-{F}(V9,V1,V8) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #620: exists( #13, #618 ), references = 1, size of lhs = 12:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V2,V3,V4), equalish-{F}(V4,V5), P_add-{F}(V3,V0,V6), P_add-{F}(V6,V7,V8), P_subtract-{F}(V9,V7,V0), P_add-{F}(V9,V1,V8), P_add-{F}(V10,V2,V11), P_add-{F}(V12,V11,V5), P_add-{F}(V12,V10,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #623: exists( #13, #621 ), references = 1, size of lhs = 11:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V4,V6,V7), P_subtract-{F}(V8,V6,V0), P_add-{F}(V8,V1,V7), P_add-{F}(V9,V2,V10), P_add-{F}(V11,V10,V5), P_add-{F}(V11,V9,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #677: exists( #13, #671 ), references = 1, size of lhs = 22:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), P_c-{F}(V3), P_add-{F}(V4,V1,V5), equalish-{F}(V6,V7), P_add-{F}(V8,V6,V2), P_add-{F}(V8,V5,V9), P_add-{F}(V9,V3,V10), equalish-{F}(V10,V11), P_add-{F}(V0,V12,V11), P_add-{F}(V4,V12,V7), equalish-{F}(V12,V13), P_add-{F}(V14,V15,V1), P_add-{F}(V0,V14,V16), P_add-{F}(V16,V15,V1), P_add-{F}(V17,V18,V3), P_add-{F}(V12,V17,V19), P_add-{F}(V19,V18,V1), P_add-{F}(V20,V3,V21), P_subtract-{F}(V21,V22,V13), P_subtract-{F}(V20,V22,V12) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #678: exists( #13, #672 ), references = 1, size of lhs = 22:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V5,V6), P_add-{F}(V7,V5,V2), P_add-{F}(V7,V4,V8), P_add-{F}(V8,V1,V9), equalish-{F}(V9,V10), P_add-{F}(V0,V11,V10), P_add-{F}(V3,V11,V6), equalish-{F}(V11,V12), P_add-{F}(V13,V14,V1), P_add-{F}(V0,V13,V15), P_add-{F}(V15,V14,V1), P_add-{F}(V16,V17,V1), P_add-{F}(V11,V16,V18), P_add-{F}(V18,V17,V1), P_add-{F}(V19,V1,V20), P_subtract-{F}(V20,V21,V12), P_subtract-{F}(V19,V21,V11) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #679: exists( #13, #673 ), references = 1, size of lhs = 23:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), P_c-{F}(V3), equalish-{F}(V4,V5), P_add-{F}(V0,V4,V6), equalish-{F}(V7,V6), P_add-{F}(V8,V3,V7), P_add-{F}(V0,V9,V8), P_add-{F}(V10,V1,V11), P_add-{F}(V10,V4,V12), equalish-{F}(V13,V12), P_add-{F}(V14,V13,V2), P_add-{F}(V14,V11,V9), P_add-{F}(V15,V3,V16), P_add-{F}(V17,V16,V9), P_add-{F}(V17,V15,V1), P_add-{F}(V18,V19,V1), P_add-{F}(V20,V19,V21), P_add-{F}(V22,V20,V18), P_add-{F}(V23,V21,V24), P_subtract-{F}(V24,V25,V5), P_subtract-{F}(V23,V25,V22) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #713: exists( #13, #708 ), references = 2, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V1,V1,V2), equalish-{F}(V1,V2), P_subtract-{F}(V3,V4,V0), P_add-{F}(V3,V1,V5), P_subtract-{F}(V5,V4,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #714: exists( #13, #710 ), references = 2, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_add-{F}(V1,V1,V2), equalish-{F}(V1,V2), P_subtract-{F}(V3,V4,V0), P_add-{F}(V3,V1,V5), P_subtract-{F}(V5,V4,V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #719: exists( #13, #715 ), references = 1, size of lhs = 9:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_subtract-{F}(V2,V3,V0), P_add-{F}(V2,V1,V4), P_subtract-{F}(V4,V3,V0), P_add-{F}(V5,V1,V6), P_add-{F}(V7,V6,V1), P_add-{F}(V7,V5,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #720: exists( #13, #716 ), references = 1, size of lhs = 9:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_subtract-{F}(V2,V3,V0), P_add-{F}(V2,V1,V4), P_subtract-{F}(V4,V3,V0), P_add-{F}(V5,V1,V6), P_add-{F}(V7,V6,V1), P_add-{F}(V7,V5,V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #780: exists( #13, #774 ), references = 1, size of lhs = 7:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V3,V5,V4), P_add-{F}(V0,V5,V2) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #781: exists( #13, #775 ), references = 1, size of lhs = 8:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), P_add-{F}(V0,V5,V2), P_add-{F}(V3,V5,V6), equalish-{F}(V6,V4) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #782: exists( #13, #776 ), references = 1, size of lhs = 10:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_add-{F}(V1,V3,V4), equalish-{F}(V5,V4), P_add-{F}(V0,V5,V6), P_add-{F}(V7,V8,V2), P_add-{F}(V3,V8,V9), P_add-{F}(V7,V9,V6) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #786: exists( #13, #777 ), references = 1, size of lhs = 4:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_add-{F}(V2,V1,V3) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #788: exists( #13, #783 ), references = 1, size of lhs = 3:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #790: exists( #17, #787 ), references = 1, size of lhs = 2:
% 2.70/2.89 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #792: exists( #16, #789 ), references = 1, size of lhs = 1:
% 2.70/2.89 P_a-{F}(V0) | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 #794: exists( #15, #791 ), references = 1, size of lhs = 0:
% 2.70/2.89 FALSE | FALSE
% 2.70/2.89 (used 0 times, uses = {})
% 2.70/2.89
% 2.70/2.89 number of learnt formulas = 74
% 2.70/2.89
% 2.70/2.89
% 2.70/2.89 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/2.89
% 2.70/2.89 randbase = 1
%------------------------------------------------------------------------------