%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP655-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:04:20 EDT 2022
% Result : Unsatisfiable 55.89s 56.13s
% Output : Refutation 55.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP655-12 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 14:37:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 55.89/56.13 GeoParameters:
% 55.89/56.13
% 55.89/56.13 tptp_input = 1
% 55.89/56.13 tptp_output = 0
% 55.89/56.13 nonempty = 1
% 55.89/56.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.89/56.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 55.89/56.13
% 55.89/56.13
% 55.89/56.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.89/56.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.89/56.13
% 55.89/56.13 RuleSystem INPUT:
% 55.89/56.13
% 55.89/56.13 Initial Rules:
% 55.89/56.13 #0: input, references = 6, size of lhs = 3:
% 55.89/56.13 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1: input, references = 12, size of lhs = 3:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #2: input, references = 6, size of lhs = 3:
% 55.89/56.13 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #3: input, references = 8, size of lhs = 3:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #4: input, references = 7, size of lhs = 7:
% 55.89/56.13 P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V1,V8), V5 == V8 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #5: input, references = 6, size of lhs = 4:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V2) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #6: input, references = 26, size of lhs = 2:
% 55.89/56.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #7: input, references = 22, size of lhs = 2:
% 55.89/56.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #8: input, references = 7, size of lhs = 2:
% 55.89/56.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #9: input, references = 4, size of lhs = 0:
% 55.89/56.13 FALSE | EXISTS V0: P_x1-{T}(V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #10: input, references = 4, size of lhs = 0:
% 55.89/56.13 FALSE | EXISTS V0: P_x0-{T}(V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 number of initial rules = 11
% 55.89/56.13
% 55.89/56.13 Simplifiers:
% 55.89/56.13 #11: unsound, references = 3, size of lhs = 3:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #12: unsound, references = 3, size of lhs = 3:
% 55.89/56.13 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #13: unsound, references = 3, size of lhs = 3:
% 55.89/56.13 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #14: unsound, references = 3, size of lhs = 3:
% 55.89/56.13 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #15: unsound, references = 3, size of lhs = 3:
% 55.89/56.13 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 number of simplifiers = 5
% 55.89/56.13
% 55.89/56.13 Learnt:
% 55.89/56.13 #17: exists( #6, #0 ), references = 20, size of lhs = 1:
% 55.89/56.13 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #19: exists( #6, #2 ), references = 26, size of lhs = 1:
% 55.89/56.13 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #21: exists( #7, #1 ), references = 10, size of lhs = 1:
% 55.89/56.13 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #24: exists( #8, #3 ), references = 22, size of lhs = 1:
% 55.89/56.13 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #27: exists( #6, #4 ), references = 17, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V6,V0,V7) | P_mult-{T}(V7,V1,V5)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #33: exists( #8, #31 ), references = 1, size of lhs = 2:
% 55.89/56.13 P_x1-{F}(V0), P_x0-{F}(V0) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #58: exists( #6, #4 ), references = 16, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V1,V7) | P_mult-{T}(V4,V3,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #61: exists( #6, #59 ), references = 12, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_ld-{F}(V3,V6,V7) | P_mult-{T}(V1,V2,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #66: exists( #6, #64 ), references = 25, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_rd-{F}(V5,V1,V7) | P_mult-{T}(V6,V0,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #108: exists( #8, #106 ), references = 15, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V0,V5), P_rd-{F}(V4,V0,V6), P_ld-{F}(V5,V6,V7) | P_rd-{T}(V1,V0,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #117: mergings( V5 == V6; #115 ), references = 2, size of lhs = 10:
% 55.89/56.13 P_rd-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V0), P_rd-{F}(V4,V3,V3), P_mult-{F}(V2,V5,V4), P_mult-{F}(V3,V6,V5), P_mult-{F}(V7,V6,V3), P_mult-{F}(V8,V3,V7), P_mult-{F}(V8,V5,V9), P_rd-{F}(V9,V3,V10), V1 == V10 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #139: mergings( V8 == V9; #137 ), references = 2, size of lhs = 14:
% 55.89/56.13 P_rd-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V0), P_mult-{F}(V4,V1,V5), P_mult-{F}(V6,V2,V1), P_mult-{F}(V7,V1,V6), P_mult-{F}(V7,V3,V8), P_rd-{F}(V8,V1,V9), P_rd-{F}(V5,V10,V11), P_mult-{F}(V9,V10,V12), P_ld-{F}(V12,V11,V13), P_mult-{F}(V10,V14,V5), P_mult-{F}(V15,V10,V14), V13 == V15 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #145: mergings( V1 == V4, V5 == V7, V4 == V8; #141 ), references = 10, size of lhs = 6:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V0,V2,V3), P_rd-{F}(V3,V0,V0), P_mult-{F}(V4,V0,V3), P_ld-{F}(V2,V0,V5) | P_rd-{T}(V2,V0,V5)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #155: exists( #7, #153 ), references = 1, size of lhs = 14:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V3,V11), P_rd-{F}(V10,V3,V12), P_mult-{F}(V13,V6,V11), P_mult-{F}(V13,V8,V14), P_rd-{F}(V14,V6,V12) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #160: exists( #6, #158 ), references = 1, size of lhs = 18:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V6), P_mult-{F}(V9,V7,V10), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V7,V6), P_rd-{F}(V12,V3,V7), P_mult-{F}(V13,V4,V12), P_mult-{F}(V13,V3,V14), P_mult-{F}(V15,V6,V14), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V11,V6) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #177: exists( #6, #175 ), references = 1, size of lhs = 8:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V4), V4 == V0, P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V6,V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V3,V7,V6) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #184: exists( #6, #182 ), references = 3, size of lhs = 4:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_ld-{F}(V0,V0,V2), P_mult-{F}(V2,V0,V3), V3 == V0 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #220: mergings( V2 == V7; #218 ), references = 1, size of lhs = 6:
% 55.89/56.13 P_rd-{F}(V0,V0,V1), P_rd-{F}(V0,V2,V2), P_mult-{F}(V2,V2,V3), P_rd-{F}(V3,V2,V2), P_mult-{F}(V4,V2,V3), P_mult-{F}(V5,V2,V0) | P_ld-{T}(V2,V2,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #289: exists( #7, #287 ), references = 1, size of lhs = 7:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V5,V4), P_mult-{F}(V2,V3,V6), P_mult-{F}(V6,V0,V7) | P_ld-{T}(V1,V7,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #330: exists( #6, #328 ), references = 1, size of lhs = 11:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V0), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V5,V6), P_mult-{F}(V7,V0,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V9,V0,V10), P_ld-{F}(V7,V10,V11), P_mult-{F}(V11,V2,V12), V6 == V12 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #332: exists( #6, #329 ), references = 2, size of lhs = 9:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V0), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V0,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V0,V9), P_ld-{F}(V6,V9,V10), P_mult-{F}(V10,V2,V11) | P_mult-{T}(V3,V5,V11)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #367: mergings( V2 == V4, V4 == V5; #364 ), references = 1, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V1,V0), P_mult-{F}(V3,V0,V4) | P_ld-{T}(V0,V0,V4)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #410: mergings( V2 == V4, V4 == V5, V5 == V6, V7 == V8; #405 ), references = 1, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V1,V3), P_ld-{F}(V3,V3,V4) | P_ld-{T}(V0,V0,V4)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #492: exists( #6, #488 ), references = 1, size of lhs = 17:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V0,V7), P_rd-{F}(V6,V0,V8), P_mult-{F}(V9,V2,V10), P_mult-{F}(V2,V10,V11), P_mult-{F}(V11,V0,V12), P_mult-{F}(V0,V12,V13), V13 == V9, P_mult-{F}(V7,V14,V15), P_mult-{F}(V16,V14,V11), P_mult-{F}(V15,V16,V17), P_mult-{F}(V17,V14,V8), P_mult-{F}(V14,V2,V18), P_mult-{F}(V18,V0,V14) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #631: exists( #7, #627 ), references = 1, size of lhs = 13:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V2), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V2), P_mult-{F}(V1,V6,V7), V1 == V6, P_mult-{F}(V8,V7,V9), P_mult-{F}(V8,V1,V10), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V0,V12), P_mult-{F}(V12,V1,V13), P_rd-{F}(V9,V1,V13) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #632: exists( #7, #628 ), references = 1, size of lhs = 13:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V2), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V2), P_mult-{F}(V1,V6,V7), V1 == V6, P_mult-{F}(V8,V7,V9), P_mult-{F}(V8,V1,V10), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V0,V12), P_mult-{F}(V12,V1,V13), P_rd-{F}(V9,V1,V13) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #637: exists( #7, #633 ), references = 1, size of lhs = 11:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V2), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V2), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V1,V10), P_rd-{F}(V11,V1,V10), P_mult-{F}(V6,V12,V11) | P_ld-{T}(V1,V12,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #638: exists( #7, #634 ), references = 1, size of lhs = 11:
% 55.89/56.13 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V2), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V2), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V1,V10), P_rd-{F}(V11,V1,V10), P_mult-{F}(V6,V12,V11) | P_ld-{T}(V1,V12,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #645: mergings( V3 == V4; #643 ), references = 3, size of lhs = 5:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V2,V3), V3 == V1, P_mult-{F}(V2,V3,V2) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #724: exists( #7, #720 ), references = 1, size of lhs = 18:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V3,V2), P_mult-{F}(V6,V4,V7), P_mult-{F}(V6,V0,V8), P_rd-{F}(V7,V0,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V10,V5,V11), P_mult-{F}(V3,V12,V8), P_mult-{F}(V12,V9,V9), P_mult-{F}(V12,V0,V13), P_mult-{F}(V8,V13,V14), P_mult-{F}(V0,V15,V11), P_mult-{F}(V16,V0,V15), P_mult-{F}(V17,V13,V16), P_mult-{F}(V14,V17,V18), P_mult-{F}(V18,V13,V9) | P_ld-{T}(V8,V9,V11)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #725: exists( #7, #721 ), references = 1, size of lhs = 26:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V3,V2), P_mult-{F}(V6,V4,V7), P_mult-{F}(V6,V0,V8), P_rd-{F}(V7,V0,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V10,V5,V11), P_mult-{F}(V0,V12,V11), P_mult-{F}(V13,V0,V12), P_mult-{F}(V3,V14,V15), P_mult-{F}(V14,V0,V16), P_mult-{F}(V17,V16,V13), P_mult-{F}(V18,V15,V11), P_mult-{F}(V14,V9,V19), P_mult-{F}(V3,V19,V20), P_mult-{F}(V8,V16,V21), P_mult-{F}(V21,V17,V22), P_mult-{F}(V22,V16,V9), P_mult-{F}(V19,V23,V2), P_mult-{F}(V24,V19,V23), P_mult-{F}(V20,V24,V25), P_mult-{F}(V25,V15,V26), P_mult-{F}(V26,V18,V27), P_mult-{F}(V27,V15,V28) | P_ld-{T}(V8,V9,V28)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #800: exists( #6, #798 ), references = 1, size of lhs = 9:
% 55.89/56.13 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V0), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V6,V7), P_mult-{F}(V7,V0,V8), P_ld-{F}(V4,V8,V9), P_mult-{F}(V9,V2,V10), P_ld-{F}(V3,V10,V11) | P_mult-{T}(V2,V6,V11)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #852: mergings( V5 == V7, V7 == V8, V8 == V9, V10 == V12, V14 == V1, V21 == V22, V3 == V4; #844 ), references = 3, size of lhs = 15:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V8,V6,V9), P_ld-{F}(V8,V10,V7), P_mult-{F}(V11,V6,V10), P_mult-{F}(V9,V12,V11), P_mult-{F}(V13,V1,V14), P_rd-{F}(V14,V1,V15), P_mult-{F}(V15,V3,V14) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #867: mergings( V5 == V7, V7 == V8, V8 == V9, V10 == V12, V14 == V15, V18 == V19, V3 == V4; #859 ), references = 1, size of lhs = 25:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V8,V1,V9), P_rd-{F}(V9,V1,V10), P_mult-{F}(V10,V3,V9), P_mult-{F}(V11,V12,V7), P_mult-{F}(V12,V6,V13), P_mult-{F}(V13,V14,V12), P_mult-{F}(V6,V14,V15), P_mult-{F}(V14,V15,V14), P_mult-{F}(V7,V14,V16), P_mult-{F}(V14,V16,V17), P_mult-{F}(V14,V18,V19), P_mult-{F}(V20,V19,V21), P_mult-{F}(V20,V14,V22), P_mult-{F}(V22,V12,V23), P_mult-{F}(V23,V11,V24), P_mult-{F}(V24,V12,V25), P_rd-{F}(V21,V14,V25) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #921: mergings( V10 == V11, V3 == V4; #918 ), references = 1, size of lhs = 8:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V2,V6), P_mult-{F}(V6,V2,V4), P_mult-{F}(V7,V6,V8), P_rd-{F}(V8,V6,V9), P_ld-{F}(V8,V9,V6) | P_mult-{T}(V2,V3,V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1051: exists( #7, #1046 ), references = 1, size of lhs = 13:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V2), P_rd-{F}(V2,V1,V1), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V5), P_rd-{F}(V5,V1,V6), P_mult-{F}(V7,V5,V8), P_ld-{F}(V7,V9,V6), P_mult-{F}(V10,V5,V9), P_mult-{F}(V8,V11,V10), P_mult-{F}(V12,V1,V13), P_rd-{F}(V13,V1,V14), P_mult-{F}(V14,V1,V13) | P_ld-{T}(V1,V1,V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1057: exists( #6, #1055 ), references = 1, size of lhs = 16:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_ld-{F}(V1,V4,V5), P_mult-{F}(V3,V0,V6), P_ld-{F}(V0,V5,V7), V7 == V6, P_mult-{F}(V8,V4,V9), P_rd-{F}(V9,V4,V10), P_mult-{F}(V11,V9,V12), P_ld-{F}(V11,V13,V10), P_mult-{F}(V14,V9,V13), P_mult-{F}(V12,V15,V14), P_mult-{F}(V16,V4,V17), P_rd-{F}(V17,V4,V18), P_mult-{F}(V18,V4,V17) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1228: mergings( V8 == V9; #1226 ), references = 1, size of lhs = 14:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V2), P_rd-{F}(V2,V2,V3), V3 == V0, P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V2,V6), P_mult-{F}(V7,V5,V8), P_rd-{F}(V8,V2,V9), P_mult-{F}(V9,V4,V9), P_mult-{F}(V10,V5,V11), P_mult-{F}(V10,V2,V12), P_rd-{F}(V11,V2,V13) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1237: mergings( V3 == V5, V5 == V7, V9 == V10; #1233 ), references = 2, size of lhs = 7:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V2), P_rd-{F}(V2,V1,V1), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V2), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7) | P_ld-{T}(V1,V1,V0)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1244: exists( #6, #1242 ), references = 2, size of lhs = 4:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_mult-{F}(V1,V1,V1), P_x0-{F}(V2) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1263: exists( #7, #1261 ), references = 1, size of lhs = 14:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V1), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V3,V11), P_rd-{F}(V10,V3,V12), P_mult-{F}(V13,V6,V11), P_mult-{F}(V13,V8,V14), P_rd-{F}(V14,V6,V12) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1268: exists( #6, #1266 ), references = 2, size of lhs = 18:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V1), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V6), P_mult-{F}(V9,V7,V10), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V7,V6), P_rd-{F}(V12,V3,V7), P_mult-{F}(V13,V4,V12), P_mult-{F}(V13,V3,V14), P_mult-{F}(V15,V6,V14), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V11,V6) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1279: mergings( V2 == V4, V4 == V9, V9 == V8; #1275 ), references = 1, size of lhs = 8:
% 55.89/56.13 P_x1-{F}(V0), P_x0-{F}(V1), P_rd-{F}(V0,V2,V2), P_mult-{F}(V2,V2,V0), P_mult-{F}(V3,V2,V0), P_mult-{F}(V2,V4,V0), P_mult-{F}(V4,V2,V0), P_mult-{F}(V5,V2,V0) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1285: exists( #6, #1283 ), references = 1, size of lhs = 3:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1287: exists( #6, #1284 ), references = 1, size of lhs = 2:
% 55.89/56.13 P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1316: mergings( V0 == V3, V5 == V7; #1313 ), references = 1, size of lhs = 8:
% 55.89/56.13 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V2,V3,V1), P_rd-{F}(V4,V1,V1), P_rd-{F}(V4,V3,V1), P_mult-{F}(V5,V1,V4), P_mult-{F}(V3,V6,V4), P_mult-{F}(V7,V3,V6) | P_ld-{T}(V1,V1,V7)
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1325: mergings( V0 == V6, V3 == V7; #1322 ), references = 2, size of lhs = 7:
% 55.89/56.13 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V3,V3), P_rd-{F}(V3,V3,V1), P_mult-{F}(V4,V3,V3), P_mult-{F}(V5,V3,V3) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1352: exists( #7, #1349 ), references = 1, size of lhs = 5:
% 55.89/56.13 P_x1-{F}(V0), P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_x0-{F}(V3) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1355: exists( #6, #1353 ), references = 1, size of lhs = 2:
% 55.89/56.13 P_x1-{F}(V0), P_x0-{F}(V1) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1357: exists( #10, #1354 ), references = 1, size of lhs = 1:
% 55.89/56.13 P_x1-{F}(V0) | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 #1359: exists( #9, #1356 ), references = 1, size of lhs = 0:
% 55.89/56.13 FALSE | FALSE
% 55.89/56.13 (used 0 times, uses = {})
% 55.89/56.13
% 55.89/56.13 number of learnt formulas = 51
% 55.89/56.13
% 55.89/56.13
% 55.89/56.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.89/56.13
% 55.89/56.13 randbase = 1
%------------------------------------------------------------------------------