TSTP Solution File: GRP671-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:04:24 EDT 2022
% Result : Unsatisfiable 8.91s 9.14s
% Output : Refutation 8.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 13:41:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.91/9.14 GeoParameters:
% 8.91/9.14
% 8.91/9.14 tptp_input = 1
% 8.91/9.14 tptp_output = 0
% 8.91/9.14 nonempty = 1
% 8.91/9.14 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.91/9.14 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.91/9.14
% 8.91/9.14
% 8.91/9.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.91/9.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.91/9.14
% 8.91/9.14 RuleSystem INPUT:
% 8.91/9.14
% 8.91/9.14 Initial Rules:
% 8.91/9.14 #0: input, references = 3, size of lhs = 3:
% 8.91/9.14 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #1: input, references = 5, size of lhs = 3:
% 8.91/9.14 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #2: input, references = 3, size of lhs = 3:
% 8.91/9.14 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #3: input, references = 5, size of lhs = 3:
% 8.91/9.14 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #4: input, references = 5, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #5: input, references = 4, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #6: input, references = 5, size of lhs = 5:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V3,V4,V5), V5 == V2 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #7: input, references = 5, size of lhs = 5:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_i-{F}(V2,V4), P_mult-{F}(V3,V4,V5), V5 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #8: input, references = 5, size of lhs = 9:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V2,V3,V7), P_mult-{F}(V1,V7,V8), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V2,V10), V6 == V10 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #9: input, references = 6, size of lhs = 7:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V1,V6), P_mult-{F}(V2,V1,V5), P_mult-{F}(V1,V5,V6) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #10: input, references = 15, size of lhs = 2:
% 8.91/9.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #11: input, references = 4, size of lhs = 2:
% 8.91/9.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #12: input, references = 6, size of lhs = 2:
% 8.91/9.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #13: input, references = 4, size of lhs = 0:
% 8.91/9.14 FALSE | EXISTS V0: P_unit-{T}(V0)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #14: input, references = 7, size of lhs = 1:
% 8.91/9.14 #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #15: input, references = 4, size of lhs = 0:
% 8.91/9.14 FALSE | EXISTS V0: P_a-{T}(V0)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #16: input, references = 5, size of lhs = 0:
% 8.91/9.14 FALSE | EXISTS V0: P_b-{T}(V0)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 number of initial rules = 17
% 8.91/9.14
% 8.91/9.14 Simplifiers:
% 8.91/9.14 #17: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #18: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #19: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #20: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #21: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #22: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #23: unsound, references = 3, size of lhs = 3:
% 8.91/9.14 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 number of simplifiers = 7
% 8.91/9.14
% 8.91/9.14 Learnt:
% 8.91/9.14 #26: exists( #10, #4 ), references = 9, size of lhs = 2:
% 8.91/9.14 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #27: exists( #10, #7 ), references = 12, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V3,V1,V4) | P_mult-{T}(V4,V2,V3)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #29: exists( #11, #1 ), references = 2, size of lhs = 1:
% 8.91/9.14 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #35: mergings( V3 == V4; #32 ), references = 1, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V0), #-{F} V2 | P_mult-{T}(V2,V1,V2)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #38: exists( #10, #6 ), references = 9, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V1,V3,V4) | P_mult-{T}(V2,V4,V3)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #40: exists( #12, #3 ), references = 1, size of lhs = 1:
% 8.91/9.14 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #44: exists( #10, #5 ), references = 10, size of lhs = 2:
% 8.91/9.14 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #49: mergings( V1 == V2; #47 ), references = 1, size of lhs = 2:
% 8.91/9.14 P_a-{F}(V0), P_unit-{F}(V0) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #58: exists( #10, #56 ), references = 4, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V2), P_rd-{F}(V3,V2,V4) | P_mult-{T}(V3,V1,V4)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #68: exists( #10, #8 ), references = 5, size of lhs = 7:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V2,V4,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V2,V9) | P_mult-{T}(V3,V5,V9)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #78: exists( #14, #72 ), references = 2, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_ld-{F}(V3,V1,V4) | P_i-{T}(V2,V4)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #80: mergings( V2 == V3; #76 ), references = 2, size of lhs = 2:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0) | P_i-{T}(V1,V2)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #82: mergings( V2 == V3; #77 ), references = 3, size of lhs = 2:
% 8.91/9.14 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0) | P_i-{T}(V2,V1)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #104: mergings( V3 == V4; #102 ), references = 1, size of lhs = 10:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V1), P_mult-{F}(V2,V1,V5), P_mult-{F}(V6,V5,V3), P_mult-{F}(V5,V4,V7), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V6,V1) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #113: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #108 ), references = 1, size of lhs = 6:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_i-{F}(V1,V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V3,V0,V1) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #119: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #114 ), references = 1, size of lhs = 5:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V0,V1) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #170: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V1 == V10; #163 ), references = 2, size of lhs = 19:
% 8.91/9.14 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V3,V4,V1), P_mult-{F}(V4,V5,V6), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V3,V8), P_mult-{F}(V8,V4,V9), P_i-{F}(V9,V10), P_mult-{F}(V11,V12,V9), P_mult-{F}(V12,V2,V13), P_mult-{F}(V11,V13,V14), P_mult-{F}(V14,V11,V15), P_mult-{F}(V15,V12,V16), P_mult-{F}(V17,V16,V18), P_mult-{F}(V19,V17,V10), P_mult-{F}(V17,V20,V19), P_mult-{F}(V16,V21,V20), P_mult-{F}(V21,V18,V22), P_mult-{F}(V18,V22,V23) | P_rd-{T}(V5,V2,V23)
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #187: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V11 == V13; #178 ), references = 1, size of lhs = 28:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_i-{F}(V2,V1), P_b-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V3,V1,V5), P_mult-{F}(V1,V5,V6), P_i-{F}(V7,V1), P_mult-{F}(V8,V9,V7), P_mult-{F}(V9,V6,V10), P_mult-{F}(V8,V10,V11), P_mult-{F}(V11,V8,V12), P_mult-{F}(V12,V9,V13), P_i-{F}(V13,V14), P_mult-{F}(V15,V16,V13), P_mult-{F}(V16,V1,V17), P_mult-{F}(V15,V17,V18), P_mult-{F}(V18,V15,V19), P_mult-{F}(V16,V0,V20), P_i-{F}(V20,V21), P_mult-{F}(V21,V20,V22), P_mult-{F}(V22,V21,V14), P_mult-{F}(V16,V23,V19), P_mult-{F}(V0,V24,V23), P_mult-{F}(V24,V20,V25), P_i-{F}(V25,V26), P_mult-{F}(V26,V25,V27), P_mult-{F}(V25,V27,V4) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #201: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V0 == V14; #190 ), references = 1, size of lhs = 26:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_i-{F}(V2,V1), P_b-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V3,V1,V5), P_i-{F}(V1,V6), P_mult-{F}(V6,V0,V7), P_i-{F}(V7,V1), P_mult-{F}(V5,V6,V8), P_mult-{F}(V8,V0,V9), P_i-{F}(V9,V10), P_mult-{F}(V11,V12,V9), P_mult-{F}(V12,V1,V13), P_mult-{F}(V11,V13,V14), P_mult-{F}(V14,V11,V15), P_mult-{F}(V12,V0,V16), P_i-{F}(V16,V17), P_mult-{F}(V17,V16,V18), P_mult-{F}(V18,V17,V10), P_mult-{F}(V12,V19,V15), P_mult-{F}(V0,V20,V19), P_mult-{F}(V20,V16,V21), P_i-{F}(V21,V22), P_mult-{F}(V22,V21,V23), P_mult-{F}(V21,V23,V4) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #228: 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, V16 == V17, V17 == V18, V18 == V19, V20 == V22; #210 ), references = 1, size of lhs = 27:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_i-{F}(V2,V1), P_b-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V3,V1,V5), P_i-{F}(V1,V6), P_mult-{F}(V6,V0,V7), P_i-{F}(V7,V1), P_mult-{F}(V5,V6,V8), P_mult-{F}(V8,V0,V9), P_i-{F}(V9,V10), P_mult-{F}(V11,V0,V4), P_i-{F}(V12,V13), P_ld-{F}(V12,V14,V11), P_i-{F}(V15,V14), P_mult-{F}(V16,V17,V9), P_mult-{F}(V17,V1,V18), P_mult-{F}(V16,V18,V19), P_mult-{F}(V19,V16,V20), P_mult-{F}(V17,V0,V21), P_i-{F}(V21,V22), P_mult-{F}(V22,V21,V23), P_mult-{F}(V23,V22,V10), P_mult-{F}(V24,V21,V11), P_mult-{F}(V0,V24,V25), P_mult-{F}(V17,V25,V20) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #252: 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, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V0 == V22, V24 == V29; #232 ), references = 1, size of lhs = 23:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_i-{F}(V2,V1), P_b-{F}(V3), P_mult-{F}(V3,V1,V4), P_i-{F}(V1,V5), P_mult-{F}(V5,V0,V6), P_i-{F}(V6,V1), P_mult-{F}(V4,V5,V7), P_mult-{F}(V7,V0,V8), P_i-{F}(V8,V9), P_i-{F}(V5,V10), P_i-{F}(V11,V3), P_mult-{F}(V12,V0,V3), P_mult-{F}(V13,V12,V8), P_mult-{F}(V12,V1,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V15,V13,V16), P_i-{F}(V3,V17), P_mult-{F}(V17,V3,V18), P_mult-{F}(V18,V17,V9), P_mult-{F}(V0,V1,V19), P_mult-{F}(V12,V19,V16) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #279: 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, V0 == V26, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V24 == V28, V27 == V31; #256 ), references = 1, size of lhs = 15:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_mult-{F}(V0,V1,V1), P_i-{F}(V2,V1), P_b-{F}(V3), P_mult-{F}(V3,V0,V3), P_mult-{F}(V0,V3,V3), P_i-{F}(V1,V4), P_mult-{F}(V4,V0,V5), P_i-{F}(V5,V1), P_i-{F}(V4,V6), P_i-{F}(V7,V3), P_i-{F}(V3,V8), P_mult-{F}(V8,V3,V9), P_mult-{F}(V9,V8,V8) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #307: 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, V24 == V25, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V26 == V28; #283 ), references = 2, size of lhs = 10:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_mult-{F}(V0,V1,V1), P_b-{F}(V2), P_mult-{F}(V2,V0,V2), P_mult-{F}(V0,V2,V2), P_i-{F}(V3,V2), P_i-{F}(V2,V4), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V4,V4) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #324: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #319 ), references = 2, size of lhs = 6:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_mult-{F}(V0,V1,V1), P_b-{F}(V2), P_mult-{F}(V2,V0,V2), P_mult-{F}(V0,V2,V2) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #328: exists( #16, #326 ), references = 1, size of lhs = 3:
% 8.91/9.14 P_unit-{F}(V0), P_a-{F}(V1), P_mult-{F}(V0,V1,V1) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #331: exists( #15, #329 ), references = 1, size of lhs = 1:
% 8.91/9.14 P_unit-{F}(V0) | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 #333: exists( #13, #330 ), references = 1, size of lhs = 0:
% 8.91/9.14 FALSE | FALSE
% 8.91/9.14 (used 0 times, uses = {})
% 8.91/9.14
% 8.91/9.14 number of learnt formulas = 27
% 8.91/9.14
% 8.91/9.14
% 8.91/9.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.91/9.14
% 8.91/9.14 randbase = 1
%------------------------------------------------------------------------------