TSTP Solution File: GRP680-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:04:25 EDT 2022
% Result : Unsatisfiable 16.35s 16.59s
% Output : Refutation 16.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 14:36:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.35/16.59 GeoParameters:
% 16.35/16.59
% 16.35/16.59 tptp_input = 1
% 16.35/16.59 tptp_output = 0
% 16.35/16.59 nonempty = 1
% 16.35/16.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.35/16.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 16.35/16.59
% 16.35/16.59
% 16.35/16.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.35/16.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.35/16.59
% 16.35/16.59 RuleSystem INPUT:
% 16.35/16.59
% 16.35/16.59 Initial Rules:
% 16.35/16.59 #0: input, references = 3, size of lhs = 3:
% 16.35/16.59 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #1: input, references = 7, size of lhs = 3:
% 16.35/16.59 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #2: input, references = 4, size of lhs = 3:
% 16.35/16.59 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #3: input, references = 4, size of lhs = 3:
% 16.35/16.59 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #4: input, references = 4, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #5: input, references = 4, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #6: input, references = 5, size of lhs = 8:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V1,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V2,V1,V7), P_mult-{F}(V1,V7,V8), P_mult-{F}(V8,V3,V9), V6 == V9 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #7: input, references = 6, size of lhs = 5:
% 16.35/16.59 P_unit-{F}(V0), P_i-{F}(V1,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V3,V4,V5), V5 == V2 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #8: input, references = 4, size of lhs = 5:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V1,V4), V3 == V4 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #9: input, references = 11, size of lhs = 6:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V2,V5) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #10: input, references = 15, size of lhs = 2:
% 16.35/16.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #11: input, references = 10, size of lhs = 2:
% 16.35/16.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #12: input, references = 5, size of lhs = 2:
% 16.35/16.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #13: input, references = 4, size of lhs = 0:
% 16.35/16.59 FALSE | EXISTS V0: P_unit-{T}(V0)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #14: input, references = 9, size of lhs = 1:
% 16.35/16.59 #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #15: input, references = 4, size of lhs = 0:
% 16.35/16.59 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #16: input, references = 5, size of lhs = 0:
% 16.35/16.59 FALSE | EXISTS V0: P_a-{T}(V0)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 number of initial rules = 17
% 16.35/16.59
% 16.35/16.59 Simplifiers:
% 16.35/16.59 #17: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #18: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #19: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #20: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #21: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #22: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #23: unsound, references = 3, size of lhs = 3:
% 16.35/16.59 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 number of simplifiers = 7
% 16.35/16.59
% 16.35/16.59 Learnt:
% 16.35/16.59 #25: exists( #10, #4 ), references = 9, size of lhs = 2:
% 16.35/16.59 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #27: exists( #11, #1 ), references = 7, size of lhs = 1:
% 16.35/16.59 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #31: mergings( V2 == V3; #29 ), references = 2, size of lhs = 2:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0) | P_i-{T}(V1,V2)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #35: exists( #10, #5 ), references = 8, size of lhs = 2:
% 16.35/16.59 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #36: exists( #10, #8 ), references = 14, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3) | P_mult-{T}(V1,V2,V3)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #37: exists( #10, #2 ), references = 13, size of lhs = 1:
% 16.35/16.59 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #42: mergings( V1 == V2; #40 ), references = 1, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V0) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #44: exists( #12, #3 ), references = 1, size of lhs = 1:
% 16.35/16.59 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #49: mergings( V2 == V3; #47 ), references = 1, size of lhs = 3:
% 16.35/16.59 P_a-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #51: exists( #10, #7 ), references = 19, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V1,V3,V4) | P_mult-{T}(V2,V4,V3)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #54: exists( #10, #6 ), references = 5, size of lhs = 6:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V1,V5,V8)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #67: exists( #12, #65 ), references = 11, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_ld-{F}(V1,V2,V3) | P_rd-{T}(V2,V1,V3)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #83: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V0 == V10; #75 ), references = 1, size of lhs = 11:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_mult-{F}(V3,V4,V1), P_mult-{F}(V5,V3,V4), P_mult-{F}(V5,V6,V2), P_mult-{F}(V3,V7,V6), P_mult-{F}(V8,V3,V7), P_mult-{F}(V8,V1,V9), P_mult-{F}(V1,V9,V0) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #89: exists( #10, #6 ), references = 7, size of lhs = 6:
% 16.35/16.59 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V4,V1,V7), P_mult-{F}(V1,V7,V8) | P_mult-{T}(V8,V2,V6)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #107: mergings( V3 == V4; #104 ), references = 4, size of lhs = 7:
% 16.35/16.59 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V2,V7,V8), P_ld-{F}(V5,V8,V9) | P_mult-{T}(V1,V6,V9)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #110: mergings( V3 == V4, V4 == V5; #105 ), references = 1, size of lhs = 8:
% 16.35/16.59 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V4,V5), P_i-{F}(V5,V6), P_mult-{F}(V3,V7,V8), P_mult-{F}(V2,V8,V9), P_mult-{F}(V6,V9,V10) | P_mult-{T}(V1,V7,V10)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #123: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V9; #116 ), references = 2, size of lhs = 9:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_i-{F}(V3,V4), P_mult-{F}(V4,V5,V1), P_mult-{F}(V6,V4,V5), P_mult-{F}(V6,V2,V7), P_mult-{F}(V4,V7,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #135: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V1 == V11; #126 ), references = 1, size of lhs = 8:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_i-{F}(V3,V4), P_i-{F}(V4,V4), P_mult-{F}(V1,V2,V5), P_mult-{F}(V4,V5,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #148: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #138 ), references = 1, size of lhs = 7:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V1), P_a-{F}(V3), P_i-{F}(V3,V4), P_i-{F}(V4,V4), P_mult-{F}(V4,V2,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #158: mergings( V2 == V3, V3 == V4, V4 == V5; #154 ), references = 3, size of lhs = 7:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_a-{F}(V2), P_mult-{F}(V2,V3,V0), P_mult-{F}(V1,V4,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V3,V4) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #164: mergings( V3 == V4, V1 == V5; #161 ), references = 1, size of lhs = 4:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V1), P_a-{F}(V2) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #196: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V0 == V8; #190 ), references = 1, size of lhs = 8:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_mult-{F}(V2,V2,V4), P_mult-{F}(V5,V4,V3), P_mult-{F}(V5,V2,V6), P_mult-{F}(V2,V6,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #251: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V0 == V12; #240 ), references = 1, size of lhs = 9:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V5,V3), P_mult-{F}(V6,V2,V7), P_mult-{F}(V2,V7,V0) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #260: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V9 == V0; #241 ), references = 1, size of lhs = 9:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_a-{F}(V3), P_mult-{F}(V3,V4,V0), P_i-{F}(V4,V3), P_mult-{F}(V5,V4,V3), P_mult-{F}(V5,V2,V6), P_mult-{F}(V2,V6,V0) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #281: mergings( V3 == V4; #279 ), references = 1, size of lhs = 4:
% 16.35/16.59 P_op_c-{F}(V0), P_unit-{F}(V1), P_i-{F}(V2,V3), P_ld-{F}(V3,V0,V4) | P_mult-{T}(V0,V2,V4)
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #305: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #299 ), references = 1, size of lhs = 9:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_a-{F}(V2), P_i-{F}(V2,V3), P_mult-{F}(V2,V3,V0), P_mult-{F}(V1,V3,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V3,V2,V6), P_ld-{F}(V5,V6,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #388: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V0 == V8; #382 ), references = 1, size of lhs = 10:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V0), P_a-{F}(V3), P_i-{F}(V3,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V1,V5,V6), P_mult-{F}(V6,V4,V7), P_mult-{F}(V4,V7,V1) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #403: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V0 == V11; #394 ), references = 1, size of lhs = 16:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V0), P_a-{F}(V3), P_i-{F}(V3,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V4,V6,V1), P_mult-{F}(V7,V4,V8), P_mult-{F}(V7,V1,V9), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V8,V10), P_mult-{F}(V11,V7,V12), P_mult-{F}(V13,V9,V12), P_mult-{F}(V13,V7,V14), P_mult-{F}(V7,V14,V5) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #418: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #407 ), references = 1, size of lhs = 12:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V0), P_a-{F}(V3), P_i-{F}(V3,V4), P_i-{F}(V5,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V6,V1), P_mult-{F}(V0,V5,V7), P_mult-{F}(V5,V7,V8), P_mult-{F}(V4,V8,V3) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #434: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #421 ), references = 1, size of lhs = 11:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V0,V1), P_a-{F}(V2), P_i-{F}(V2,V3), P_i-{F}(V4,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V1,V5,V1), P_mult-{F}(V0,V4,V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V3,V7,V2) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #450: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #436 ), references = 1, size of lhs = 9:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V0,V1), P_a-{F}(V2), P_i-{F}(V2,V3), P_i-{F}(V4,V3), P_mult-{F}(V0,V4,V2), P_mult-{F}(V4,V3,V5), P_mult-{F}(V1,V5,V1) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #473: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #455 ), references = 2, size of lhs = 6:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V0,V1), P_a-{F}(V2), P_mult-{F}(V2,V0,V2), P_mult-{F}(V0,V2,V2) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #477: exists( #16, #475 ), references = 1, size of lhs = 3:
% 16.35/16.59 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V0,V1) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #480: exists( #15, #478 ), references = 1, size of lhs = 1:
% 16.35/16.59 P_unit-{F}(V0) | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 #482: exists( #13, #479 ), references = 1, size of lhs = 0:
% 16.35/16.59 FALSE | FALSE
% 16.35/16.59 (used 0 times, uses = {})
% 16.35/16.59
% 16.35/16.59 number of learnt formulas = 35
% 16.35/16.59
% 16.35/16.59
% 16.35/16.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.35/16.59
% 16.35/16.59 randbase = 1
%------------------------------------------------------------------------------