TSTP Solution File: GRP710-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:04:28 EDT 2022
% Result : Unsatisfiable 17.32s 17.53s
% Output : Refutation 17.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 14:45:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 17.32/17.53 GeoParameters:
% 17.32/17.53
% 17.32/17.53 tptp_input = 1
% 17.32/17.53 tptp_output = 0
% 17.32/17.53 nonempty = 1
% 17.32/17.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.32/17.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 17.32/17.53
% 17.32/17.53
% 17.32/17.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.32/17.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.32/17.53
% 17.32/17.53 RuleSystem INPUT:
% 17.32/17.53
% 17.32/17.53 Initial Rules:
% 17.32/17.53 #0: input, references = 5, size of lhs = 3:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #1: input, references = 5, size of lhs = 3:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #2: input, references = 9, size of lhs = 8:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V1,V2,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V3,V9), V6 == V9 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #3: input, references = 4, size of lhs = 4:
% 17.32/17.53 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #4: input, references = 4, size of lhs = 4:
% 17.32/17.53 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #5: input, references = 9, size of lhs = 4:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V1,V3,V2) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #6: input, references = 22, size of lhs = 2:
% 17.32/17.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #7: input, references = 4, size of lhs = 0:
% 17.32/17.53 FALSE | EXISTS V0: P_unit-{T}(V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #8: input, references = 8, size of lhs = 1:
% 17.32/17.53 #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #9: input, references = 4, size of lhs = 0:
% 17.32/17.53 FALSE | EXISTS V0: P_x0-{T}(V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #10: input, references = 5, size of lhs = 0:
% 17.32/17.53 FALSE | EXISTS V0: P_x1-{T}(V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 number of initial rules = 11
% 17.32/17.53
% 17.32/17.53 Simplifiers:
% 17.32/17.53 #11: unsound, references = 3, size of lhs = 3:
% 17.32/17.53 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #12: unsound, references = 3, size of lhs = 3:
% 17.32/17.53 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #13: unsound, references = 3, size of lhs = 3:
% 17.32/17.53 P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #14: unsound, references = 3, size of lhs = 3:
% 17.32/17.53 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #15: unsound, references = 3, size of lhs = 3:
% 17.32/17.53 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 number of simplifiers = 5
% 17.32/17.53
% 17.32/17.53 Learnt:
% 17.32/17.53 #18: exists( #6, #3 ), references = 5, size of lhs = 2:
% 17.32/17.53 P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V1,V2,V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #19: exists( #6, #4 ), references = 8, size of lhs = 2:
% 17.32/17.53 P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V2,V1,V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #28: mergings( V2 == V0; #24 ), references = 1, size of lhs = 1:
% 17.32/17.53 P_unit-{F}(V0) | P_i-{T}(V0,V0)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #31: mergings( V2 == V3; #26 ), references = 1, size of lhs = 3:
% 17.32/17.53 P_x1-{F}(V0), P_unit-{F}(V0), P_x0-{F}(V1) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #33: exists( #6, #0 ), references = 13, size of lhs = 2:
% 17.32/17.53 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #35: exists( #6, #1 ), references = 14, size of lhs = 2:
% 17.32/17.53 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #39: mergings( V1 == V2; #37 ), references = 1, size of lhs = 2:
% 17.32/17.53 P_x0-{F}(V0), P_unit-{F}(V0) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #46: exists( #6, #2 ), references = 12, size of lhs = 6:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V5,V4,V8)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #53: exists( #6, #2 ), references = 2, size of lhs = 6:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V1,V7), P_mult-{F}(V7,V1,V8) | P_mult-{T}(V8,V2,V6)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #64: mergings( V3 == V4, V4 == V5, V5 == V6; #60 ), references = 5, size of lhs = 18:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V3), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V10,V5,V11), P_mult-{F}(V11,V5,V12), P_mult-{F}(V10,V9,V13), P_mult-{F}(V14,V1,V15), P_mult-{F}(V14,V15,V16), P_mult-{F}(V17,V14,V12), P_mult-{F}(V18,V14,V17), P_mult-{F}(V18,V16,V19), P_mult-{F}(V19,V1,V20), P_mult-{F}(V20,V4,V21), V13 == V21 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #70: mergings( V11 == V17, V3 == V4, V4 == V5, V5 == V6; #65 ), references = 6, size of lhs = 15:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V3), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V5,V6,V10), P_mult-{F}(V11,V5,V12), P_mult-{F}(V11,V9,V13), P_mult-{F}(V14,V5,V12), P_mult-{F}(V14,V10,V15), P_mult-{F}(V15,V1,V16), P_mult-{F}(V16,V4,V17), V13 == V17 | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #87: mergings( V3 == V4; #83 ), references = 8, size of lhs = 5:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V3,V4,V6) | P_mult-{T}(V1,V5,V6)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #90: mergings( V3 == V4, V4 == V5; #84 ), references = 1, size of lhs = 7:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V5,V6,V8) | P_mult-{T}(V3,V7,V8)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #93: mergings( V3 == V4, V4 == V5; #85 ), references = 1, size of lhs = 12:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V0), P_mult-{F}(V4,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V6,V0,V5), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V7,V10,V11), P_mult-{F}(V9,V10,V12) | P_mult-{T}(V7,V11,V12)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #108: mergings( V2 == V3, V3 == V4; #103 ), references = 1, size of lhs = 10:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V1,V5,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V7,V8,V7), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V3,V10), P_mult-{F}(V7,V10,V0) | P_i-{T}(V7,V6)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #111: mergings( V2 == V3, V3 == V4; #104 ), references = 1, size of lhs = 15:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V0), P_mult-{F}(V1,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V7,V3), P_mult-{F}(V4,V7,V8), P_mult-{F}(V4,V9,V8), P_mult-{F}(V10,V4,V11), P_mult-{F}(V10,V11,V12), P_mult-{F}(V13,V10,V2), P_mult-{F}(V14,V10,V13), P_mult-{F}(V14,V12,V15), P_mult-{F}(V15,V4,V16), P_mult-{F}(V16,V9,V17) | P_i-{T}(V1,V17)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #114: mergings( V2 == V3, V3 == V4; #105 ), references = 1, size of lhs = 5:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V0), P_mult-{F}(V1,V4,V3), P_mult-{F}(V2,V4,V5) | P_i-{T}(V1,V5)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #124: mergings( V3 == V4, V4 == V5; #119 ), references = 1, size of lhs = 9:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V2,V1), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V4,V7,V8), P_mult-{F}(V6,V7,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V3,V10,V11) | P_mult-{T}(V4,V8,V11)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #126: mergings( V3 == V4; #120 ), references = 2, size of lhs = 12:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V3,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V4,V7,V8), P_mult-{F}(V4,V5,V9), P_mult-{F}(V10,V4,V11), P_mult-{F}(V10,V8,V12), P_mult-{F}(V13,V4,V11), P_mult-{F}(V13,V9,V14) | P_mult-{T}(V14,V1,V12)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #128: mergings( V3 == V4; #121 ), references = 1, size of lhs = 15:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V3,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V4,V7,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V10,V4,V11), P_mult-{F}(V9,V8,V12), P_mult-{F}(V13,V1,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V16,V13,V11), P_mult-{F}(V17,V13,V16), P_mult-{F}(V17,V15,V18) | P_mult-{T}(V18,V1,V12)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #142: mergings( V3 == V4, V4 == V5, V5 == V6, V9 == V10, V0 == V11, V6 == V7; #135 ), references = 1, size of lhs = 12:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_x1-{F}(V4), P_mult-{F}(V0,V3,V5), P_mult-{F}(V5,V3,V6), P_mult-{F}(V3,V3,V7), P_mult-{F}(V7,V3,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V6,V9,V10), P_mult-{F}(V1,V9,V10) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #150: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V10, V9 == V11, V6 == V7; #143 ), references = 1, size of lhs = 10:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_x1-{F}(V4), P_mult-{F}(V0,V3,V5), P_mult-{F}(V5,V3,V1), P_mult-{F}(V3,V3,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V7,V8,V4) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #174: mergings( V2 == V3, V3 == V4, V4 == V5; #168 ), references = 1, size of lhs = 14:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V2,V3,V6), P_mult-{F}(V5,V7,V5), P_mult-{F}(V5,V8,V7), P_mult-{F}(V7,V8,V9), P_mult-{F}(V6,V8,V10), P_mult-{F}(V5,V11,V0), P_mult-{F}(V9,V12,V11), P_mult-{F}(V8,V12,V13), P_mult-{F}(V8,V14,V13), P_mult-{F}(V10,V14,V15) | P_i-{T}(V1,V15)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #178: mergings( V2 == V3, V3 == V4, V4 == V5; #169 ), references = 1, size of lhs = 19:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V2,V3,V6), P_mult-{F}(V6,V5,V7), P_mult-{F}(V5,V8,V0), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V9,V11), P_mult-{F}(V11,V12,V8), P_mult-{F}(V9,V12,V13), P_mult-{F}(V9,V14,V13), P_mult-{F}(V15,V9,V16), P_mult-{F}(V15,V16,V17), P_mult-{F}(V18,V15,V7), P_mult-{F}(V19,V15,V18), P_mult-{F}(V19,V17,V20), P_mult-{F}(V20,V9,V21), P_mult-{F}(V21,V14,V22) | P_i-{T}(V1,V22)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #191: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #184 ), references = 2, size of lhs = 19:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V3,V4,V7), P_mult-{F}(V8,V4,V7), P_mult-{F}(V8,V6,V1), P_mult-{F}(V4,V9,V10), P_mult-{F}(V4,V10,V11), P_mult-{F}(V5,V9,V12), P_mult-{F}(V11,V13,V11), P_mult-{F}(V11,V14,V13), P_mult-{F}(V13,V14,V15), P_mult-{F}(V14,V0,V16), P_mult-{F}(V14,V17,V16), P_mult-{F}(V15,V17,V18), P_mult-{F}(V11,V18,V0) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #199: mergings( V3 == V4; #197 ), references = 3, size of lhs = 7:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V2), P_mult-{F}(V3,V6,V7) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #217: mergings( V0 == V6, V7 == V3; #214 ), references = 2, size of lhs = 8:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V4), P_mult-{F}(V4,V0,V4), P_mult-{F}(V3,V4,V1), P_mult-{F}(V5,V4,V1) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #223: mergings( V3 == V4; #221 ), references = 1, size of lhs = 7:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V1) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #235: mergings( V3 == V4; #232 ), references = 1, size of lhs = 6:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_x1-{F}(V4), P_mult-{F}(V3,V5,V4) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #237: mergings( V3 == V4; #233 ), references = 1, size of lhs = 8:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V2), P_mult-{F}(V1,V3,V7), P_mult-{F}(V7,V3,V3) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #252: mergings( V3 == V4, V4 == V5; #249 ), references = 1, size of lhs = 11:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V3,V4,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V9,V1), P_mult-{F}(V4,V9,V10), P_mult-{F}(V4,V11,V10) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #256: mergings( V3 == V4, V4 == V5; #253 ), references = 1, size of lhs = 9:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V3,V4,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V9,V1) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #273: mergings( V3 == V4; #270 ), references = 2, size of lhs = 12:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V1,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V5,V7), P_mult-{F}(V3,V7,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V4,V10,V11), P_mult-{F}(V4,V12,V11), P_mult-{F}(V6,V10,V13), P_mult-{F}(V9,V12,V14) | P_mult-{T}(V1,V13,V14)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #276: mergings( V5 == V10, V2 == V3; #271 ), references = 1, size of lhs = 12:
% 17.32/17.53 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V1), P_mult-{F}(V3,V6,V7), P_mult-{F}(V3,V8,V7), P_mult-{F}(V1,V4,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V10,V3,V11), P_mult-{F}(V11,V8,V12) | P_mult-{T}(V1,V1,V12)
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #286: mergings( V3 == V4; #284 ), references = 1, size of lhs = 13:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_x1-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V3,V4), P_mult-{F}(V1,V3,V6), P_mult-{F}(V6,V3,V3), P_mult-{F}(V3,V7,V8), P_mult-{F}(V8,V7,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V12,V2) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #294: mergings( V2 == V3, V3 == V4; #291 ), references = 2, size of lhs = 5:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V1), P_x1-{F}(V2), P_mult-{F}(V0,V3,V2) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #297: exists( #10, #295 ), references = 1, size of lhs = 3:
% 17.32/17.53 P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V1) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #300: exists( #9, #298 ), references = 1, size of lhs = 1:
% 17.32/17.53 P_unit-{F}(V0) | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 #302: exists( #7, #299 ), references = 1, size of lhs = 0:
% 17.32/17.53 FALSE | FALSE
% 17.32/17.53 (used 0 times, uses = {})
% 17.32/17.53
% 17.32/17.53 number of learnt formulas = 39
% 17.32/17.53
% 17.32/17.53
% 17.32/17.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.32/17.53
% 17.32/17.53 randbase = 1
%------------------------------------------------------------------------------