TSTP Solution File: SYN986+1.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:25:44 EDT 2022
% Result : Theorem 3.15s 3.33s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 : Sat Jul 23 03:19:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.15/3.33 GeoParameters:
% 3.15/3.33
% 3.15/3.33 tptp_input = 1
% 3.15/3.33 tptp_output = 0
% 3.15/3.33 nonempty = 1
% 3.15/3.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/3.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.15/3.33
% 3.15/3.33
% 3.15/3.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/3.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/3.33
% 3.15/3.33 RuleSystem INPUT:
% 3.15/3.33
% 3.15/3.33 Initial Rules:
% 3.15/3.33 #0: input, references = 19, size of lhs = 2:
% 3.15/3.33 P_zero-{F}(V0), P_succ-{F}(V1,V2) | r-{T}(V1,V0,V2)
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #1: input, references = 18, size of lhs = 4:
% 3.15/3.33 P_zero-{F}(V0), P_succ-{F}(V1,V4), r-{F}(V2,V1,V3), r-{F}(V5,V1,V2) | r-{T}(V5,V4,V3)
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #2: input, references = 4, size of lhs = 5:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V1,V2), r-{F}(V0,V3,V1), r-{F}(V0,V0,V4), r-{F}(V0,V4,V3) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #3: input, references = 4, size of lhs = 0:
% 3.15/3.33 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #4: input, references = 19, size of lhs = 1:
% 3.15/3.33 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 number of initial rules = 5
% 3.15/3.33
% 3.15/3.33 Simplifiers:
% 3.15/3.33 #5: unsound, references = 3, size of lhs = 3:
% 3.15/3.33 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #6: unsound, references = 3, size of lhs = 3:
% 3.15/3.33 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 number of simplifiers = 2
% 3.15/3.33
% 3.15/3.33 Learnt:
% 3.15/3.33 #468: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #462 ), references = 1, size of lhs = 12:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V5,V8), r-{F}(V8,V4,V9), r-{F}(V9,V0,V10) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #476: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #470 ), references = 1, size of lhs = 11:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V5,V8), r-{F}(V8,V4,V9) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #487: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #479 ), references = 1, size of lhs = 11:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V5,V8), r-{F}(V8,V0,V9) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #497: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #489 ), references = 1, size of lhs = 10:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V5,V8) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #513: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V16 == V20; #501 ), references = 1, size of lhs = 11:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V4,V8), r-{F}(V8,V0,V9) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #527: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V16 == V20; #515 ), references = 1, size of lhs = 10:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V4,V8) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #544: 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, V18 == V22; #530 ), references = 1, size of lhs = 10:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7), r-{F}(V7,V0,V8) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #560: 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, V18 == V21; #546 ), references = 1, size of lhs = 9:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V6,V7) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #585: 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, V22 == V25, V25 == V26, V23 == V27; #565 ), references = 1, size of lhs = 11:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V5,V7), r-{F}(V7,V4,V8), r-{F}(V8,V0,V9) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #607: 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, V22 == V25, V25 == V26, V23 == V27; #587 ), references = 1, size of lhs = 10:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V5,V7), r-{F}(V7,V4,V8) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #632: 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, V19 == V20, V24 == V27, V27 == V28, V25 == V29; #610 ), references = 1, size of lhs = 10:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V5,V7), r-{F}(V7,V0,V8) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #656: 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, V19 == V20, V24 == V27, V27 == V28, V25 == V29; #634 ), references = 1, size of lhs = 9:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), r-{F}(V0,V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V5), P_succ-{F}(V5,V6), P_succ-{F}(V6,V3), r-{F}(V0,V5,V7) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #686: 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, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V26 == V28, V28 == V29, V27 == V25, V29 == V30; #660 ), references = 1, size of lhs = 8:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), P_succ-{F}(V2,V3), P_succ-{F}(V0,V4), P_succ-{F}(V4,V2), r-{F}(V0,V4,V5), r-{F}(V5,V0,V3) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #713: 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, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V25 == V26, V26 == V27, V27 == V28; #688 ), references = 1, size of lhs = 6:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), r-{F}(V0,V1,V2), P_succ-{F}(V0,V3), P_succ-{F}(V3,V2), r-{F}(V0,V3,V2) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #740: 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, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25; #716 ), references = 1, size of lhs = 3:
% 3.15/3.33 P_zero-{F}(V0), r-{F}(V0,V0,V1), P_succ-{F}(V0,V1) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #758: 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 == V0; #742 ), references = 1, size of lhs = 1:
% 3.15/3.33 P_zero-{F}(V0) | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 #760: exists( #3, #742 ), references = 1, size of lhs = 0:
% 3.15/3.33 FALSE | FALSE
% 3.15/3.33 (used 0 times, uses = {})
% 3.15/3.33
% 3.15/3.33 number of learnt formulas = 17
% 3.15/3.33
% 3.15/3.33
% 3.15/3.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/3.33
% 3.15/3.33 randbase = 1
%------------------------------------------------------------------------------