TSTP Solution File: PRO009+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO009+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 : Thu Aug 31 13:05:47 EDT 2023
% Result : Theorem 0.77s 0.83s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO009+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n019.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 28 19:18:43 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.81 %-------------------------------------------
% 0.19/0.81 % File :CSE---1.6
% 0.19/0.81 % Problem :theBenchmark
% 0.19/0.81 % Transform :cnf
% 0.19/0.81 % Format :tptp:raw
% 0.19/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.81
% 0.19/0.81 % Result :Theorem 0.190000s
% 0.19/0.81 % Output :CNFRefutation 0.190000s
% 0.19/0.81 %-------------------------------------------
% 0.19/0.82 %------------------------------------------------------------------------------
% 0.19/0.82 % File : PRO009+3 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.82 % Domain : Processes
% 0.19/0.82 % Problem : PSL cliff problem coe-7.1.2
% 0.19/0.82 % Version : Especial : Augmented > Especial.
% 0.19/0.82 % English :
% 0.19/0.82 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 0.19/0.82 % Source : [Hal09]
% 0.19/0.82 % Names : psl-1016-subset-618-lemmas__coe-7.1.2-pd [Hal09]
% 0.19/0.82
% 0.19/0.82 % Status : Theorem
% 0.19/0.82 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.30 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.0
% 0.19/0.82 % Syntax : Number of formulae : 63 ( 12 unt; 0 def)
% 0.19/0.82 % Number of atoms : 215 ( 18 equ)
% 0.19/0.82 % Maximal formula atoms : 9 ( 3 avg)
% 0.19/0.82 % Number of connectives : 178 ( 26 ~; 7 |; 93 &)
% 0.19/0.82 % ( 7 <=>; 45 =>; 0 <=; 0 <~>)
% 0.19/0.82 % Maximal formula depth : 13 ( 6 avg)
% 0.19/0.82 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.82 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 0.19/0.82 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.19/0.82 % Number of variables : 168 ( 145 !; 23 ?)
% 0.19/0.82 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.82
% 0.19/0.82 % Comments :
% 0.19/0.82 %------------------------------------------------------------------------------
% 0.19/0.82 fof(sos,axiom,
% 0.19/0.82 ! [X0,X1] :
% 0.19/0.82 ( occurrence_of(X1,X0)
% 0.19/0.82 => ( activity(X0)
% 0.19/0.82 & activity_occurrence(X1) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_01,axiom,
% 0.19/0.82 ! [X2] :
% 0.19/0.82 ( activity_occurrence(X2)
% 0.19/0.82 => ? [X3] :
% 0.19/0.82 ( activity(X3)
% 0.19/0.82 & occurrence_of(X2,X3) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_02,axiom,
% 0.19/0.82 ! [X4,X5,X6] :
% 0.19/0.82 ( ( occurrence_of(X4,X5)
% 0.19/0.82 & occurrence_of(X4,X6) )
% 0.19/0.82 => X5 = X6 ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_03,axiom,
% 0.19/0.82 ! [X7] :
% 0.19/0.82 ( activity(X7)
% 0.19/0.82 => subactivity(X7,X7) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_04,axiom,
% 0.19/0.82 ! [X8,X9] :
% 0.19/0.82 ( earlier(X8,X9)
% 0.19/0.82 => ~ earlier(X9,X8) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_05,axiom,
% 0.19/0.82 ! [X10,X11,X12] :
% 0.19/0.82 ( ( earlier(X10,X11)
% 0.19/0.82 & earlier(X11,X12) )
% 0.19/0.82 => earlier(X10,X12) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_06,axiom,
% 0.19/0.82 ! [X13,X14,X15] :
% 0.19/0.82 ( ( earlier(X13,X14)
% 0.19/0.82 & earlier(X15,X14) )
% 0.19/0.82 => ( earlier(X15,X13)
% 0.19/0.82 | earlier(X13,X15)
% 0.19/0.82 | X13 = X15 ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_07,axiom,
% 0.19/0.82 ! [X16,X17] :
% 0.19/0.82 ( occurrence_of(X16,X17)
% 0.19/0.82 => ( arboreal(X16)
% 0.19/0.82 <=> atomic(X17) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_08,axiom,
% 0.19/0.82 ! [X18] :
% 0.19/0.82 ( legal(X18)
% 0.19/0.82 => arboreal(X18) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_09,axiom,
% 0.19/0.82 ! [X19,X20] :
% 0.19/0.82 ( ( legal(X19)
% 0.19/0.82 & earlier(X20,X19) )
% 0.19/0.82 => legal(X20) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_10,axiom,
% 0.19/0.82 ! [X21,X22] :
% 0.19/0.82 ( precedes(X21,X22)
% 0.19/0.82 <=> ( earlier(X21,X22)
% 0.19/0.82 & legal(X22) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_11,axiom,
% 0.19/0.82 ! [X23,X24,X25] :
% 0.19/0.82 ( min_precedes(X24,X25,X23)
% 0.19/0.82 => ? [X26,X27] :
% 0.19/0.82 ( subactivity(X26,X23)
% 0.19/0.82 & subactivity(X27,X23)
% 0.19/0.82 & atocc(X24,X26)
% 0.19/0.82 & atocc(X25,X27) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_12,axiom,
% 0.19/0.82 ! [X28,X29] :
% 0.19/0.82 ( root(X29,X28)
% 0.19/0.82 => ? [X30] :
% 0.19/0.82 ( subactivity(X30,X28)
% 0.19/0.82 & atocc(X29,X30) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_13,axiom,
% 0.19/0.82 ! [X31,X32,X33] :
% 0.19/0.82 ( min_precedes(X31,X32,X33)
% 0.19/0.82 => ? [X34] :
% 0.19/0.82 ( root(X34,X33)
% 0.19/0.82 & min_precedes(X34,X32,X33) ) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_14,axiom,
% 0.19/0.82 ! [X35,X36,X37] :
% 0.19/0.82 ( min_precedes(X35,X36,X37)
% 0.19/0.82 => ~ root(X36,X37) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_15,axiom,
% 0.19/0.82 ! [X38,X39,X40] :
% 0.19/0.82 ( min_precedes(X38,X39,X40)
% 0.19/0.82 => precedes(X38,X39) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_16,axiom,
% 0.19/0.82 ! [X41,X42] :
% 0.19/0.82 ( root(X41,X42)
% 0.19/0.82 => legal(X41) ) ).
% 0.19/0.82
% 0.19/0.82 fof(sos_17,axiom,
% 0.19/0.82 ! [X43,X44] :
% 0.77/0.82 ( ( atocc(X43,X44)
% 0.77/0.82 & legal(X43) )
% 0.77/0.82 => root(X43,X44) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_18,axiom,
% 0.77/0.82 ! [X45,X46,X47,X48] :
% 0.77/0.82 ( ( min_precedes(X45,X46,X48)
% 0.77/0.82 & min_precedes(X45,X47,X48)
% 0.77/0.82 & precedes(X46,X47) )
% 0.77/0.82 => min_precedes(X46,X47,X48) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_19,axiom,
% 0.77/0.82 ! [X49,X50,X51] :
% 0.77/0.82 ( min_precedes(X49,X50,X51)
% 0.77/0.82 => ~ atomic(X51) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_20,axiom,
% 0.77/0.82 ! [X52,X53,X54,X55] :
% 0.77/0.82 ( ( min_precedes(X53,X52,X55)
% 0.77/0.82 & min_precedes(X54,X52,X55)
% 0.77/0.82 & precedes(X53,X54) )
% 0.77/0.82 => min_precedes(X53,X54,X55) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_21,axiom,
% 0.77/0.82 ! [X56,X57] :
% 0.77/0.82 ( leaf(X56,X57)
% 0.77/0.82 <=> ( ( root(X56,X57)
% 0.77/0.82 | ? [X58] : min_precedes(X58,X56,X57) )
% 0.77/0.82 & ~ ? [X59] : min_precedes(X56,X59,X57) ) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_22,axiom,
% 0.77/0.82 ! [X60,X61,X62] :
% 0.77/0.82 ( next_subocc(X60,X61,X62)
% 0.77/0.82 <=> ( min_precedes(X60,X61,X62)
% 0.77/0.82 & ~ ? [X63] :
% 0.77/0.82 ( min_precedes(X60,X63,X62)
% 0.77/0.82 & min_precedes(X63,X61,X62) ) ) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_23,axiom,
% 0.77/0.82 ! [X64,X65] :
% 0.77/0.82 ( atocc(X64,X65)
% 0.77/0.82 <=> ? [X66] :
% 0.77/0.82 ( subactivity(X65,X66)
% 0.77/0.82 & atomic(X66)
% 0.77/0.82 & occurrence_of(X64,X66) ) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_24,axiom,
% 0.77/0.82 ! [X67,X68] :
% 0.77/0.82 ( subactivity_occurrence(X67,X68)
% 0.77/0.82 => ( activity_occurrence(X67)
% 0.77/0.82 & activity_occurrence(X68) ) ) ).
% 0.77/0.82
% 0.77/0.82 fof(sos_25,axiom,
% 0.77/0.82 ! [X69,X70,X71] :
% 0.77/0.82 ( min_precedes(X70,X71,X69)
% 0.77/0.82 => ? [X72] :
% 0.77/0.83 ( occurrence_of(X72,X69)
% 0.77/0.83 & subactivity_occurrence(X70,X72)
% 0.77/0.83 & subactivity_occurrence(X71,X72) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_26,axiom,
% 0.77/0.83 ! [X73,X74] :
% 0.77/0.83 ( ( root(X74,X73)
% 0.77/0.83 & ~ atomic(X73) )
% 0.77/0.83 => ? [X75] :
% 0.77/0.83 ( occurrence_of(X75,X73)
% 0.77/0.83 & subactivity_occurrence(X74,X75) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_27,axiom,
% 0.77/0.83 ! [X76,X77] :
% 0.77/0.83 ( ( occurrence_of(X77,X76)
% 0.77/0.83 & ~ atomic(X76) )
% 0.77/0.83 => ? [X78] :
% 0.77/0.83 ( root(X78,X76)
% 0.77/0.83 & subactivity_occurrence(X78,X77) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_28,axiom,
% 0.77/0.83 ! [X79,X80,X81,X82] :
% 0.77/0.83 ( ( occurrence_of(X80,X79)
% 0.77/0.83 & arboreal(X81)
% 0.77/0.83 & arboreal(X82)
% 0.77/0.83 & subactivity_occurrence(X81,X80)
% 0.77/0.83 & subactivity_occurrence(X82,X80) )
% 0.77/0.83 => ( min_precedes(X81,X82,X79)
% 0.77/0.83 | min_precedes(X82,X81,X79)
% 0.77/0.83 | X81 = X82 ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_29,axiom,
% 0.77/0.83 ! [X83,X84,X85,X86] :
% 0.77/0.83 ( ( min_precedes(X83,X84,X85)
% 0.77/0.83 & occurrence_of(X86,X85)
% 0.77/0.83 & subactivity_occurrence(X84,X86) )
% 0.77/0.83 => subactivity_occurrence(X83,X86) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_30,axiom,
% 0.77/0.83 ! [X87,X88,X89,X90] :
% 0.77/0.83 ( ( occurrence_of(X89,X87)
% 0.77/0.83 & occurrence_of(X90,X88)
% 0.77/0.83 & ~ atomic(X87)
% 0.77/0.83 & subactivity_occurrence(X89,X90) )
% 0.77/0.83 => subactivity(X87,X88) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_31,axiom,
% 0.77/0.83 ! [X91,X92,X93] :
% 0.77/0.83 ( ( subactivity_occurrence(X91,X92)
% 0.77/0.83 & subactivity_occurrence(X92,X93) )
% 0.77/0.83 => subactivity_occurrence(X91,X93) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_32,axiom,
% 0.77/0.83 ! [X94,X95,X96,X97] :
% 0.77/0.83 ( ( occurrence_of(X96,X94)
% 0.77/0.83 & occurrence_of(X97,X95)
% 0.77/0.83 & subactivity(X94,X95)
% 0.77/0.83 & ~ subactivity_occurrence(X96,X97) )
% 0.77/0.83 => ? [X98] :
% 0.77/0.83 ( subactivity_occurrence(X98,X97)
% 0.77/0.83 & ~ subactivity_occurrence(X98,X96) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_33,axiom,
% 0.77/0.83 ! [X99,X100] :
% 0.77/0.83 ( root_occ(X99,X100)
% 0.77/0.83 <=> ? [X101] :
% 0.77/0.83 ( occurrence_of(X100,X101)
% 0.77/0.83 & subactivity_occurrence(X99,X100)
% 0.77/0.83 & root(X99,X101) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_34,axiom,
% 0.77/0.83 ! [X102,X103] :
% 0.77/0.83 ( leaf_occ(X102,X103)
% 0.77/0.83 <=> ? [X104] :
% 0.77/0.83 ( occurrence_of(X103,X104)
% 0.77/0.83 & subactivity_occurrence(X102,X103)
% 0.77/0.83 & leaf(X102,X104) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_35,axiom,
% 0.77/0.83 ! [X105,X106,X107,X108] :
% 0.77/0.83 ( ( occurrence_of(X107,X108)
% 0.77/0.83 & root_occ(X105,X107)
% 0.77/0.83 & root_occ(X106,X107) )
% 0.77/0.83 => X105 = X106 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_36,axiom,
% 0.77/0.83 ! [X109,X110,X111,X112] :
% 0.77/0.83 ( ( occurrence_of(X111,X112)
% 0.77/0.83 & ~ atomic(X112)
% 0.77/0.83 & leaf_occ(X109,X111)
% 0.77/0.83 & leaf_occ(X110,X111) )
% 0.77/0.83 => X109 = X110 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_37,axiom,
% 0.77/0.83 ! [X113,X114,X115] :
% 0.77/0.83 ( ( occurrence_of(X113,X115)
% 0.77/0.83 & leaf_occ(X114,X113) )
% 0.77/0.83 => ~ ? [X116] : min_precedes(X114,X116,X115) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_38,axiom,
% 0.77/0.83 ! [X117,X118,X119] :
% 0.77/0.83 ( ( occurrence_of(X117,X119)
% 0.77/0.83 & root_occ(X118,X117) )
% 0.77/0.83 => ~ ? [X120] : min_precedes(X120,X118,X119) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_39,axiom,
% 0.77/0.83 ! [X121,X122,X123,X124,X125] :
% 0.77/0.83 ( ( next_subocc(X121,X122,X124)
% 0.77/0.83 & next_subocc(X121,X123,X124)
% 0.77/0.83 & occurrence_of(X125,X124)
% 0.77/0.83 & subactivity_occurrence(X123,X125)
% 0.77/0.83 & subactivity_occurrence(X122,X125) )
% 0.77/0.83 => X122 = X123 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_40,axiom,
% 0.77/0.83 ! [X126,X127,X128,X129] :
% 0.77/0.83 ( ( next_subocc(X127,X126,X129)
% 0.77/0.83 & next_subocc(X128,X126,X129) )
% 0.77/0.83 => X127 = X128 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_41,axiom,
% 0.77/0.83 ! [X130,X131,X132,X133] :
% 0.77/0.83 ( ( occurrence_of(X130,X133)
% 0.77/0.83 & leaf_occ(X131,X130)
% 0.77/0.83 & root_occ(X132,X130)
% 0.77/0.83 & X131 != X132 )
% 0.77/0.83 => min_precedes(X132,X131,X133) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_42,axiom,
% 0.77/0.83 ! [X134,X135,X136,X137] :
% 0.77/0.83 ( ( occurrence_of(X135,X134)
% 0.77/0.83 & subactivity_occurrence(X136,X135)
% 0.77/0.83 & root_occ(X137,X135)
% 0.77/0.83 & arboreal(X136)
% 0.77/0.83 & ~ min_precedes(X137,X136,X134) )
% 0.77/0.83 => X137 = X136 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_43,axiom,
% 0.77/0.83 ! [X138,X139,X140,X141] :
% 0.77/0.83 ( ( occurrence_of(X139,X138)
% 0.77/0.83 & subactivity_occurrence(X140,X139)
% 0.77/0.83 & leaf_occ(X141,X139)
% 0.77/0.83 & arboreal(X140)
% 0.77/0.83 & ~ min_precedes(X140,X141,X138) )
% 0.77/0.83 => X141 = X140 ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_44,axiom,
% 0.77/0.83 ! [X142,X143,X144] :
% 0.77/0.83 ( next_subocc(X142,X143,X144)
% 0.77/0.83 => ( arboreal(X142)
% 0.77/0.83 & arboreal(X143) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_45,axiom,
% 0.77/0.83 ! [X145,X146] :
% 0.77/0.83 ( ( leaf(X145,X146)
% 0.77/0.83 & ~ atomic(X146) )
% 0.77/0.83 => ? [X147] :
% 0.77/0.83 ( occurrence_of(X147,X146)
% 0.77/0.83 & leaf_occ(X145,X147) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_46,axiom,
% 0.77/0.83 ! [X148,X149,X150] :
% 0.77/0.83 ( min_precedes(X148,X149,X150)
% 0.77/0.83 => arboreal(X148) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_47,axiom,
% 0.77/0.83 ! [X151,X152,X153,X154,X155] :
% 0.77/0.83 ( ( occurrence_of(X152,X151)
% 0.77/0.83 & root_occ(X154,X152)
% 0.77/0.83 & leaf_occ(X155,X152)
% 0.77/0.83 & subactivity_occurrence(X153,X152)
% 0.77/0.83 & min_precedes(X153,X155,X151)
% 0.77/0.83 & X153 != X154 )
% 0.77/0.83 => min_precedes(X154,X153,X151) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_48,axiom,
% 0.77/0.83 ! [X156,X157,X158,X159,X160] :
% 0.77/0.83 ( ( occurrence_of(X157,X156)
% 0.77/0.83 & root_occ(X159,X157)
% 0.77/0.83 & leaf_occ(X160,X157)
% 0.77/0.83 & subactivity_occurrence(X158,X157)
% 0.77/0.83 & min_precedes(X159,X158,X156)
% 0.77/0.83 & X158 != X160 )
% 0.77/0.83 => min_precedes(X158,X160,X156) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_49,axiom,
% 0.77/0.83 ! [X161] :
% 0.77/0.83 ( occurrence_of(X161,tptp0)
% 0.77/0.83 => ? [X162,X163,X164] :
% 0.77/0.83 ( occurrence_of(X162,tptp3)
% 0.77/0.83 & root_occ(X162,X161)
% 0.77/0.83 & occurrence_of(X163,tptp4)
% 0.77/0.83 & next_subocc(X162,X163,tptp0)
% 0.77/0.83 & ( occurrence_of(X164,tptp2)
% 0.77/0.83 | occurrence_of(X164,tptp1) )
% 0.77/0.83 & next_subocc(X163,X164,tptp0)
% 0.77/0.83 & leaf_occ(X164,X161) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_50,axiom,
% 0.77/0.83 activity(tptp0) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_51,axiom,
% 0.77/0.83 ~ atomic(tptp0) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_52,axiom,
% 0.77/0.83 atomic(tptp4) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_53,axiom,
% 0.77/0.83 atomic(tptp2) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_54,axiom,
% 0.77/0.83 atomic(tptp1) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_55,axiom,
% 0.77/0.83 atomic(tptp3) ).
% 0.77/0.83
% 0.77/0.83 fof(sos_56,axiom,
% 0.77/0.83 tptp4 != tptp3 ).
% 0.77/0.83
% 0.77/0.83 fof(sos_57,axiom,
% 0.77/0.83 tptp4 != tptp2 ).
% 0.77/0.83
% 0.77/0.83 fof(sos_58,axiom,
% 0.77/0.83 tptp4 != tptp1 ).
% 0.77/0.83
% 0.77/0.83 fof(sos_59,axiom,
% 0.77/0.83 tptp3 != tptp2 ).
% 0.77/0.83
% 0.77/0.83 fof(sos_60,axiom,
% 0.77/0.83 tptp3 != tptp1 ).
% 0.77/0.83
% 0.77/0.83 fof(sos_61,axiom,
% 0.77/0.83 tptp2 != tptp1 ).
% 0.77/0.83
% 0.77/0.83 fof(goals,conjecture,
% 0.77/0.83 ! [X165] :
% 0.77/0.83 ( occurrence_of(X165,tptp0)
% 0.77/0.83 => ? [X166,X167] :
% 0.77/0.83 ( occurrence_of(X166,tptp3)
% 0.77/0.83 & root_occ(X166,X165)
% 0.77/0.83 & ( occurrence_of(X167,tptp2)
% 0.77/0.83 | occurrence_of(X167,tptp1) )
% 0.77/0.83 & min_precedes(X166,X167,tptp0)
% 0.77/0.83 & leaf_occ(X167,X165) ) ) ).
% 0.77/0.83
% 0.77/0.83 %------------------------------------------------------------------------------
% 0.77/0.83 %-------------------------------------------
% 0.77/0.83 % Proof found
% 0.77/0.83 % SZS status Theorem for theBenchmark
% 0.77/0.83 % SZS output start Proof
% 0.77/0.83 %ClaNum:179(EqnAxiom:75)
% 0.77/0.83 %VarNum:587(SingletonVarNum:239)
% 0.77/0.83 %MaxLitNum:8
% 0.77/0.83 %MaxfuncDepth:1
% 0.77/0.83 %SharedTerms:19
% 0.77/0.83 %goalClause: 81 156 157
% 0.77/0.83 %singleGoalClaCount:1
% 0.77/0.83 [76]P1(a1)
% 0.77/0.83 [77]P2(a22)
% 0.77/0.83 [78]P2(a25)
% 0.77/0.83 [79]P2(a23)
% 0.77/0.83 [80]P2(a24)
% 0.77/0.83 [81]P6(a2,a1)
% 0.77/0.83 [82]~E(a25,a22)
% 0.77/0.83 [83]~E(a23,a22)
% 0.77/0.83 [84]~E(a23,a25)
% 0.77/0.83 [85]~E(a24,a22)
% 0.77/0.83 [86]~E(a24,a25)
% 0.77/0.83 [87]~E(a24,a23)
% 0.77/0.83 [88]~P2(a1)
% 0.77/0.83 [89]~P7(x891)+P3(x891)
% 0.77/0.83 [91]~P1(x911)+P13(x911,x911)
% 0.77/0.83 [90]~P4(x901)+P1(f3(x901))
% 0.77/0.83 [98]~P4(x981)+P6(x981,f3(x981))
% 0.77/0.83 [105]~P6(x1051,a1)+P6(f4(x1051),a22)
% 0.77/0.83 [106]~P6(x1061,a1)+P6(f12(x1061),a25)
% 0.77/0.83 [107]~P6(x1071,a1)+P16(f4(x1071),x1071)
% 0.77/0.83 [108]~P6(x1081,a1)+P9(f13(x1081),x1081)
% 0.77/0.83 [137]~P6(x1371,a1)+P11(f4(x1371),f12(x1371),a1)
% 0.77/0.83 [138]~P6(x1381,a1)+P11(f12(x1381),f13(x1381),a1)
% 0.77/0.83 [92]P1(x921)+~P6(x922,x921)
% 0.77/0.83 [93]P4(x931)+~P6(x931,x932)
% 0.77/0.83 [94]P4(x941)+~P17(x942,x941)
% 0.77/0.83 [95]P4(x951)+~P17(x951,x952)
% 0.77/0.83 [96]P7(x961)+~P14(x962,x961)
% 0.77/0.83 [97]P7(x971)+~P15(x971,x972)
% 0.77/0.83 [102]~P14(x1021,x1022)+P8(x1021,x1022)
% 0.77/0.83 [103]~P16(x1031,x1032)+P17(x1031,x1032)
% 0.77/0.83 [104]~P9(x1041,x1042)+P17(x1041,x1042)
% 0.77/0.83 [111]~P8(x1112,x1111)+~P8(x1111,x1112)
% 0.77/0.83 [113]~P5(x1131,x1132)+P2(f14(x1131,x1132))
% 0.77/0.83 [117]~P5(x1171,x1172)+P6(x1171,f14(x1171,x1172))
% 0.77/0.83 [118]~P16(x1182,x1181)+P6(x1181,f5(x1182,x1181))
% 0.77/0.83 [119]~P9(x1192,x1191)+P6(x1191,f10(x1192,x1191))
% 0.77/0.83 [120]~P5(x1202,x1201)+P13(x1201,f14(x1202,x1201))
% 0.77/0.83 [121]~P15(x1211,x1212)+P5(x1211,f15(x1212,x1211))
% 0.77/0.83 [122]~P16(x1221,x1222)+P15(x1221,f5(x1221,x1222))
% 0.77/0.83 [123]~P9(x1231,x1232)+P10(x1231,f10(x1231,x1232))
% 0.77/0.83 [124]~P15(x1242,x1241)+P13(f15(x1241,x1242),x1241)
% 0.77/0.83 [140]P3(x1401)+~P12(x1401,x1402,x1403)
% 0.77/0.83 [141]P3(x1411)+~P11(x1412,x1411,x1413)
% 0.77/0.83 [142]P3(x1421)+~P11(x1421,x1422,x1423)
% 0.77/0.83 [143]~P2(x1431)+~P12(x1432,x1433,x1431)
% 0.77/0.83 [144]P14(x1441,x1442)+~P12(x1441,x1442,x1443)
% 0.77/0.83 [145]~P15(x1451,x1452)+~P12(x1453,x1451,x1452)
% 0.77/0.83 [146]~P10(x1461,x1462)+~P12(x1461,x1463,x1462)
% 0.77/0.83 [154]~P11(x1541,x1542,x1543)+P12(x1541,x1542,x1543)
% 0.77/0.83 [161]~P12(x1611,x1613,x1612)+P5(x1611,f16(x1612,x1611,x1613))
% 0.77/0.83 [162]~P12(x1623,x1621,x1622)+P5(x1621,f17(x1622,x1623,x1621))
% 0.77/0.83 [163]~P12(x1633,x1631,x1632)+P17(x1631,f7(x1632,x1633,x1631))
% 0.77/0.83 [164]~P12(x1641,x1643,x1642)+P17(x1641,f7(x1642,x1641,x1643))
% 0.77/0.83 [165]~P12(x1652,x1653,x1651)+P6(f7(x1651,x1652,x1653),x1651)
% 0.77/0.83 [166]~P12(x1662,x1663,x1661)+P13(f16(x1661,x1662,x1663),x1661)
% 0.77/0.83 [167]~P12(x1672,x1673,x1671)+P13(f17(x1671,x1672,x1673),x1671)
% 0.77/0.83 [168]~P12(x1681,x1682,x1683)+P15(f20(x1681,x1682,x1683),x1683)
% 0.77/0.83 [172]~P12(x1721,x1722,x1723)+P12(f20(x1721,x1722,x1723),x1722,x1723)
% 0.77/0.83 [114]~P6(x1141,a1)+P6(f13(x1141),a23)+P6(f13(x1141),a24)
% 0.77/0.83 [99]~P6(x991,x992)+P3(x991)+~P2(x992)
% 0.77/0.83 [100]~P6(x1002,x1001)+P2(x1001)+~P3(x1002)
% 0.77/0.83 [101]~P8(x1011,x1012)+P7(x1011)+~P7(x1012)
% 0.77/0.83 [109]~P7(x1092)+~P8(x1091,x1092)+P14(x1091,x1092)
% 0.77/0.83 [110]~P7(x1101)+~P5(x1101,x1102)+P15(x1101,x1102)
% 0.77/0.83 [126]~P15(x1262,x1261)+P2(x1261)+P17(x1262,f6(x1261,x1262))
% 0.77/0.83 [127]~P10(x1272,x1271)+P2(x1271)+P9(x1272,f11(x1272,x1271))
% 0.77/0.83 [128]~P10(x1282,x1281)+P2(x1281)+P6(f11(x1282,x1281),x1281)
% 0.77/0.83 [129]~P15(x1292,x1291)+P2(x1291)+P6(f6(x1291,x1292),x1291)
% 0.77/0.83 [130]~P6(x1302,x1301)+P2(x1301)+P15(f8(x1301,x1302),x1301)
% 0.77/0.83 [131]~P6(x1312,x1311)+P2(x1311)+P17(f8(x1311,x1312),x1312)
% 0.77/0.83 [147]~P15(x1471,x1472)+P10(x1471,x1472)+P12(x1471,f18(x1471,x1472),x1472)
% 0.77/0.83 [148]~P10(x1481,x1482)+P15(x1481,x1482)+P12(f19(x1481,x1482),x1481,x1482)
% 0.77/0.83 [112]~P6(x1123,x1121)+E(x1121,x1122)+~P6(x1123,x1122)
% 0.77/0.83 [115]~P8(x1151,x1153)+P8(x1151,x1152)+~P8(x1153,x1152)
% 0.77/0.83 [116]~P17(x1161,x1163)+P17(x1161,x1162)+~P17(x1163,x1162)
% 0.77/0.83 [159]P10(x1591,x1592)+~P12(x1593,x1591,x1592)+P12(x1591,f18(x1591,x1592),x1592)
% 0.77/0.83 [176]~P12(x1761,x1762,x1763)+P11(x1761,x1762,x1763)+P12(x1761,f21(x1761,x1762,x1763),x1763)
% 0.77/0.83 [177]~P12(x1771,x1772,x1773)+P11(x1771,x1772,x1773)+P12(f21(x1771,x1772,x1773),x1772,x1773)
% 0.77/0.83 [150]~P6(x1501,x1502)+~P12(x1504,x1503,x1502)+~P16(x1503,x1501)
% 0.77/0.83 [151]~P6(x1511,x1512)+~P12(x1513,x1514,x1512)+~P9(x1513,x1511)
% 0.77/0.83 [158]~P11(x1581,x1583,x1584)+E(x1581,x1582)+~P11(x1582,x1583,x1584)
% 0.77/0.83 [175]~P11(x1754,x1752,x1753)+~P12(x1751,x1752,x1753)+~P12(x1754,x1751,x1753)
% 0.77/0.83 [125]~P6(x1251,x1253)+~P13(x1252,x1253)+P5(x1251,x1252)+~P2(x1253)
% 0.77/0.83 [135]~P15(x1351,x1353)+~P17(x1351,x1352)+P16(x1351,x1352)+~P6(x1352,x1353)
% 0.77/0.83 [136]~P10(x1361,x1363)+~P17(x1361,x1362)+P9(x1361,x1362)+~P6(x1362,x1363)
% 0.77/0.83 [132]~P16(x1322,x1323)+~P16(x1321,x1323)+E(x1321,x1322)+~P6(x1323,x1324)
% 0.77/0.83 [155]~P12(x1551,x1554,x1553)+P17(x1551,x1552)+~P6(x1552,x1553)+~P17(x1554,x1552)
% 0.77/0.83 [173]~P14(x1731,x1732)+~P12(x1734,x1731,x1733)+P12(x1731,x1732,x1733)+~P12(x1734,x1732,x1733)
% 0.77/0.83 [174]~P14(x1741,x1742)+~P12(x1741,x1744,x1743)+P12(x1741,x1742,x1743)+~P12(x1742,x1744,x1743)
% 0.77/0.83 [156]~P12(x1561,x1562,a1)+~P16(x1561,a2)+~P9(x1562,a2)+~P6(x1561,a22)+~P6(x1562,a23)
% 0.77/0.83 [157]~P12(x1571,x1572,a1)+~P16(x1571,a2)+~P9(x1572,a2)+~P6(x1571,a22)+~P6(x1572,a24)
% 0.77/0.83 [134]P8(x1342,x1341)+P8(x1341,x1342)+~P8(x1341,x1343)+E(x1341,x1342)+~P8(x1342,x1343)
% 0.77/0.83 [133]~P9(x1332,x1334)+~P9(x1331,x1334)+E(x1331,x1332)+~P6(x1334,x1333)+P2(x1333)
% 0.77/0.83 [139]~P17(x1394,x1393)+P2(x1391)+P13(x1391,x1392)+~P6(x1393,x1392)+~P6(x1394,x1391)
% 0.77/0.83 [149]~P16(x1492,x1494)+~P9(x1491,x1494)+E(x1491,x1492)+P12(x1492,x1491,x1493)+~P6(x1494,x1493)
% 0.77/0.84 [178]~P6(x1782,x1784)+~P6(x1781,x1783)+~P13(x1783,x1784)+P17(x1781,x1782)+P17(f9(x1783,x1784,x1781,x1782),x1782)
% 0.77/0.84 [179]~P13(x1794,x1793)+P17(x1791,x1792)+~P6(x1792,x1793)+~P6(x1791,x1794)+~P17(f9(x1794,x1793,x1791,x1792),x1791)
% 0.77/0.84 [152]~P3(x1521)+~P17(x1521,x1524)+~P16(x1522,x1524)+E(x1521,x1522)+P12(x1522,x1521,x1523)+~P6(x1524,x1523)
% 0.77/0.84 [153]~P3(x1531)+~P17(x1531,x1534)+~P9(x1532,x1534)+E(x1531,x1532)+P12(x1531,x1532,x1533)+~P6(x1534,x1533)
% 0.77/0.84 [171]~P17(x1712,x1713)+~P17(x1711,x1713)+~P11(x1715,x1711,x1714)+E(x1711,x1712)+~P11(x1715,x1712,x1714)+~P6(x1713,x1714)
% 0.77/0.84 [169]~P17(x1692,x1694)+~P9(x1691,x1694)+~P12(x1695,x1692,x1693)+E(x1691,x1692)+P12(x1692,x1691,x1693)+~P6(x1694,x1693)+~P16(x1695,x1694)
% 0.77/0.84 [170]~P17(x1702,x1704)+~P16(x1701,x1704)+~P12(x1702,x1705,x1703)+E(x1701,x1702)+P12(x1701,x1702,x1703)+~P6(x1704,x1703)+~P9(x1705,x1704)
% 0.77/0.84 [160]P12(x1601,x1602,x1603)+~P3(x1602)+~P3(x1601)+~P17(x1602,x1604)+~P17(x1601,x1604)+E(x1601,x1602)+P12(x1602,x1601,x1603)+~P6(x1604,x1603)
% 0.77/0.84 %EqnAxiom
% 0.77/0.84 [1]E(x11,x11)
% 0.77/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.77/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.77/0.84 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.77/0.84 [5]~E(x51,x52)+E(f9(x51,x53,x54,x55),f9(x52,x53,x54,x55))
% 0.77/0.84 [6]~E(x61,x62)+E(f9(x63,x61,x64,x65),f9(x63,x62,x64,x65))
% 0.77/0.84 [7]~E(x71,x72)+E(f9(x73,x74,x71,x75),f9(x73,x74,x72,x75))
% 0.77/0.84 [8]~E(x81,x82)+E(f9(x83,x84,x85,x81),f9(x83,x84,x85,x82))
% 0.77/0.84 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 0.77/0.84 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.77/0.84 [11]~E(x111,x112)+E(f21(x111,x113,x114),f21(x112,x113,x114))
% 0.77/0.84 [12]~E(x121,x122)+E(f21(x123,x121,x124),f21(x123,x122,x124))
% 0.77/0.84 [13]~E(x131,x132)+E(f21(x133,x134,x131),f21(x133,x134,x132))
% 0.77/0.84 [14]~E(x141,x142)+E(f13(x141),f13(x142))
% 0.77/0.84 [15]~E(x151,x152)+E(f14(x151,x153),f14(x152,x153))
% 0.77/0.84 [16]~E(x161,x162)+E(f14(x163,x161),f14(x163,x162))
% 0.77/0.84 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.77/0.84 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.77/0.84 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.77/0.84 [20]~E(x201,x202)+E(f7(x201,x203,x204),f7(x202,x203,x204))
% 0.77/0.84 [21]~E(x211,x212)+E(f7(x213,x211,x214),f7(x213,x212,x214))
% 0.77/0.84 [22]~E(x221,x222)+E(f7(x223,x224,x221),f7(x223,x224,x222))
% 0.77/0.84 [23]~E(x231,x232)+E(f18(x231,x233),f18(x232,x233))
% 0.77/0.84 [24]~E(x241,x242)+E(f18(x243,x241),f18(x243,x242))
% 0.77/0.84 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 0.77/0.84 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 0.77/0.84 [27]~E(x271,x272)+E(f10(x271,x273),f10(x272,x273))
% 0.77/0.84 [28]~E(x281,x282)+E(f10(x283,x281),f10(x283,x282))
% 0.77/0.84 [29]~E(x291,x292)+E(f17(x291,x293,x294),f17(x292,x293,x294))
% 0.77/0.84 [30]~E(x301,x302)+E(f17(x303,x301,x304),f17(x303,x302,x304))
% 0.77/0.84 [31]~E(x311,x312)+E(f17(x313,x314,x311),f17(x313,x314,x312))
% 0.77/0.84 [32]~E(x321,x322)+E(f15(x321,x323),f15(x322,x323))
% 0.77/0.84 [33]~E(x331,x332)+E(f15(x333,x331),f15(x333,x332))
% 0.77/0.84 [34]~E(x341,x342)+E(f19(x341,x343),f19(x342,x343))
% 0.77/0.84 [35]~E(x351,x352)+E(f19(x353,x351),f19(x353,x352))
% 0.77/0.84 [36]~E(x361,x362)+E(f20(x361,x363,x364),f20(x362,x363,x364))
% 0.77/0.84 [37]~E(x371,x372)+E(f20(x373,x371,x374),f20(x373,x372,x374))
% 0.77/0.84 [38]~E(x381,x382)+E(f20(x383,x384,x381),f20(x383,x384,x382))
% 0.77/0.84 [39]~E(x391,x392)+E(f8(x391,x393),f8(x392,x393))
% 0.77/0.84 [40]~E(x401,x402)+E(f8(x403,x401),f8(x403,x402))
% 0.77/0.84 [41]~E(x411,x412)+E(f6(x411,x413),f6(x412,x413))
% 0.77/0.84 [42]~E(x421,x422)+E(f6(x423,x421),f6(x423,x422))
% 0.77/0.84 [43]~E(x431,x432)+E(f11(x431,x433),f11(x432,x433))
% 0.77/0.84 [44]~E(x441,x442)+E(f11(x443,x441),f11(x443,x442))
% 0.77/0.84 [45]~P1(x451)+P1(x452)+~E(x451,x452)
% 0.77/0.84 [46]~P2(x461)+P2(x462)+~E(x461,x462)
% 0.77/0.84 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 0.77/0.84 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 0.77/0.84 [49]P17(x492,x493)+~E(x491,x492)+~P17(x491,x493)
% 0.77/0.84 [50]P17(x503,x502)+~E(x501,x502)+~P17(x503,x501)
% 0.77/0.84 [51]P13(x512,x513)+~E(x511,x512)+~P13(x511,x513)
% 0.77/0.84 [52]P13(x523,x522)+~E(x521,x522)+~P13(x523,x521)
% 0.77/0.84 [53]P12(x532,x533,x534)+~E(x531,x532)+~P12(x531,x533,x534)
% 0.77/0.84 [54]P12(x543,x542,x544)+~E(x541,x542)+~P12(x543,x541,x544)
% 0.77/0.84 [55]P12(x553,x554,x552)+~E(x551,x552)+~P12(x553,x554,x551)
% 0.77/0.84 [56]P14(x562,x563)+~E(x561,x562)+~P14(x561,x563)
% 0.77/0.84 [57]P14(x573,x572)+~E(x571,x572)+~P14(x573,x571)
% 0.77/0.84 [58]~P3(x581)+P3(x582)+~E(x581,x582)
% 0.77/0.84 [59]~P7(x591)+P7(x592)+~E(x591,x592)
% 0.77/0.84 [60]P10(x602,x603)+~E(x601,x602)+~P10(x601,x603)
% 0.77/0.84 [61]P10(x613,x612)+~E(x611,x612)+~P10(x613,x611)
% 0.77/0.84 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 0.77/0.84 [63]P16(x632,x633)+~E(x631,x632)+~P16(x631,x633)
% 0.77/0.84 [64]P16(x643,x642)+~E(x641,x642)+~P16(x643,x641)
% 0.77/0.84 [65]P9(x652,x653)+~E(x651,x652)+~P9(x651,x653)
% 0.77/0.84 [66]P9(x663,x662)+~E(x661,x662)+~P9(x663,x661)
% 0.77/0.84 [67]P5(x672,x673)+~E(x671,x672)+~P5(x671,x673)
% 0.77/0.84 [68]P5(x683,x682)+~E(x681,x682)+~P5(x683,x681)
% 0.77/0.84 [69]P8(x692,x693)+~E(x691,x692)+~P8(x691,x693)
% 0.77/0.84 [70]P8(x703,x702)+~E(x701,x702)+~P8(x703,x701)
% 0.77/0.84 [71]P11(x712,x713,x714)+~E(x711,x712)+~P11(x711,x713,x714)
% 0.77/0.84 [72]P11(x723,x722,x724)+~E(x721,x722)+~P11(x723,x721,x724)
% 0.77/0.84 [73]P11(x733,x734,x732)+~E(x731,x732)+~P11(x733,x734,x731)
% 0.77/0.84 [74]P15(x742,x743)+~E(x741,x742)+~P15(x741,x743)
% 0.77/0.84 [75]P15(x753,x752)+~E(x751,x752)+~P15(x753,x751)
% 0.77/0.84
% 0.77/0.84 %-------------------------------------------
% 0.77/0.84 cnf(180,plain,
% 0.77/0.84 (~P12(x1801,x1802,a22)),
% 0.77/0.84 inference(scs_inference,[],[77,143])).
% 0.77/0.84 cnf(181,plain,
% 0.77/0.84 (~P3(a2)),
% 0.77/0.84 inference(scs_inference,[],[81,77,88,143,100])).
% 0.77/0.84 cnf(182,plain,
% 0.77/0.84 (~P6(a2,a22)),
% 0.77/0.84 inference(scs_inference,[],[81,77,88,143,100,99])).
% 0.77/0.84 cnf(189,plain,
% 0.77/0.84 (P9(f13(a2),a2)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108])).
% 0.77/0.84 cnf(191,plain,
% 0.77/0.84 (P16(f4(a2),a2)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107])).
% 0.77/0.84 cnf(195,plain,
% 0.77/0.84 (P6(f4(a2),a22)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105])).
% 0.77/0.84 cnf(201,plain,
% 0.77/0.84 (P11(f12(a2),f13(a2),a1)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138])).
% 0.77/0.84 cnf(205,plain,
% 0.77/0.84 (P10(f13(a2),f10(f13(a2),a2))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123])).
% 0.77/0.84 cnf(207,plain,
% 0.77/0.84 (P15(f4(a2),f5(f4(a2),a2))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122])).
% 0.77/0.84 cnf(211,plain,
% 0.77/0.84 (P6(a2,f5(f4(a2),a2))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118])).
% 0.77/0.84 cnf(219,plain,
% 0.77/0.84 (~P12(f13(a2),x2191,a1)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151])).
% 0.77/0.84 cnf(221,plain,
% 0.77/0.84 (~P12(x2211,f4(a2),a1)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150])).
% 0.77/0.84 cnf(227,plain,
% 0.77/0.84 (P15(f8(a1,a2),a1)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130])).
% 0.77/0.84 cnf(229,plain,
% 0.77/0.84 (P6(f6(a1,f8(a1,a2)),a1)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129])).
% 0.77/0.84 cnf(231,plain,
% 0.77/0.84 (P17(f8(a1,a2),f6(a1,f8(a1,a2)))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126])).
% 0.77/0.84 cnf(233,plain,
% 0.77/0.84 (P16(f8(a1,a2),a2)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135])).
% 0.77/0.84 cnf(239,plain,
% 0.77/0.84 (P3(f13(a2))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135,154,142,141])).
% 0.77/0.84 cnf(241,plain,
% 0.77/0.84 (P7(f4(a2))),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135,154,142,141,97])).
% 0.77/0.84 cnf(249,plain,
% 0.77/0.84 (~P7(a2)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135,154,142,141,97,95,94,92,89])).
% 0.77/0.84 cnf(256,plain,
% 0.77/0.84 (~P16(a2,a2)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135,154,142,141,97,95,94,92,89,58,147,114,132])).
% 0.77/0.84 cnf(260,plain,
% 0.77/0.84 (~P12(f4(a2),f13(a2),a1)+P6(f13(a2),a23)),
% 0.77/0.84 inference(scs_inference,[],[81,76,77,78,82,88,143,100,99,2,93,91,108,107,106,105,98,90,138,137,123,122,119,118,62,48,47,46,158,151,150,112,131,130,129,126,135,154,142,141,97,95,94,92,89,58,147,114,132,125,157])).
% 0.77/0.84 cnf(365,plain,
% 0.77/0.84 (P12(f4(a2),f13(a2),a1)),
% 0.77/0.84 inference(scs_inference,[],[81,79,83,88,182,231,201,233,180,189,205,207,219,221,239,241,211,227,229,191,195,181,249,256,146,145,140,104,103,96,124,121,63,101,154,142,141,99,89,150,97,46,151,112,100,135,144,102,72,70,65,54,53,175,148,173,155,136,153,47,158,48,168,167,166,165,164,163,162,161,115,110,159,174,149,133,152])).
% 0.77/0.84 cnf(373,plain,
% 0.77/0.84 (P6(f13(a2),a23)),
% 0.77/0.84 inference(scs_inference,[],[365,260])).
% 0.77/0.84 cnf(374,plain,
% 0.77/0.84 (~P6(f13(a2),a23)),
% 0.77/0.84 inference(scs_inference,[],[365,195,191,189,156])).
% 0.77/0.84 cnf(448,plain,
% 0.77/0.84 ($false),
% 0.77/0.84 inference(scs_inference,[],[373,374]),
% 0.77/0.84 ['proof']).
% 0.77/0.84 % SZS output end Proof
% 0.77/0.84 % Total time :0.190000s
%------------------------------------------------------------------------------