TSTP Solution File: PRO014+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 13:05:51 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 19:13:42 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 % File :CSE---1.6
% 0.21/0.73 % Problem :theBenchmark
% 0.21/0.73 % Transform :cnf
% 0.21/0.73 % Format :tptp:raw
% 0.21/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.73
% 0.21/0.73 % Result :Theorem 0.100000s
% 0.21/0.73 % Output :CNFRefutation 0.100000s
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 %------------------------------------------------------------------------------
% 0.21/0.73 % File : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.73 % Domain : Processes
% 0.21/0.73 % Problem : PSL cliff problem coe-7.2.1
% 0.21/0.74 % Version : Especial : Reduced > Especial.
% 0.21/0.74 % English :
% 0.21/0.74 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 0.21/0.74 % Source : [Hal09]
% 0.21/0.74 % Names : minimal-subset-p9__coe-7.2.1-pd [Hal09]
% 0.21/0.74
% 0.21/0.74 % Status : Theorem
% 0.21/0.74 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.30 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0
% 0.21/0.74 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 0.21/0.74 % Number of atoms : 143 ( 10 equ)
% 0.21/0.74 % Maximal formula atoms : 12 ( 3 avg)
% 0.21/0.74 % Number of connectives : 116 ( 19 ~; 5 |; 57 &)
% 0.21/0.74 % ( 7 <=>; 28 =>; 0 <=; 0 <~>)
% 0.21/0.74 % Maximal formula depth : 13 ( 5 avg)
% 0.21/0.74 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.74 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 0.21/0.74 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.21/0.74 % Number of variables : 104 ( 83 !; 21 ?)
% 0.21/0.74 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.74
% 0.21/0.74 % Comments :
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 fof(sos,axiom,
% 0.21/0.74 ! [X0,X1,X2,X3] :
% 0.21/0.74 ( ( min_precedes(X0,X1,X3)
% 0.21/0.74 & min_precedes(X1,X2,X3) )
% 0.21/0.74 => min_precedes(X0,X2,X3) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_01,axiom,
% 0.21/0.74 ! [X4,X5,X6] :
% 0.21/0.74 ( ( earlier(X4,X5)
% 0.21/0.74 & earlier(X5,X6) )
% 0.21/0.74 => earlier(X4,X6) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_02,axiom,
% 0.21/0.74 ! [X7,X8,X9,X10] :
% 0.21/0.74 ( ( occurrence_of(X9,X10)
% 0.21/0.74 & root_occ(X7,X9)
% 0.21/0.74 & root_occ(X8,X9) )
% 0.21/0.74 => X7 = X8 ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_03,axiom,
% 0.21/0.74 ! [X11,X12,X13,X14] :
% 0.21/0.74 ( ( occurrence_of(X13,X14)
% 0.21/0.74 & ~ atomic(X14)
% 0.21/0.74 & leaf_occ(X11,X13)
% 0.21/0.74 & leaf_occ(X12,X13) )
% 0.21/0.74 => X11 = X12 ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_04,axiom,
% 0.21/0.74 ! [X15,X16,X17] :
% 0.21/0.74 ( next_subocc(X15,X16,X17)
% 0.21/0.74 <=> ( min_precedes(X15,X16,X17)
% 0.21/0.74 & ~ ? [X18] :
% 0.21/0.74 ( min_precedes(X15,X18,X17)
% 0.21/0.74 & min_precedes(X18,X16,X17) ) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_05,axiom,
% 0.21/0.74 ! [X19,X20,X21] :
% 0.21/0.74 ( next_subocc(X19,X20,X21)
% 0.21/0.74 => ( arboreal(X19)
% 0.21/0.74 & arboreal(X20) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_06,axiom,
% 0.21/0.74 ! [X22,X23,X24] :
% 0.21/0.74 ( min_precedes(X22,X23,X24)
% 0.21/0.74 => precedes(X22,X23) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_07,axiom,
% 0.21/0.74 ! [X25,X26,X27] :
% 0.21/0.74 ( min_precedes(X25,X26,X27)
% 0.21/0.74 => ~ root(X26,X27) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_08,axiom,
% 0.21/0.74 ! [X28,X29] :
% 0.21/0.74 ( precedes(X28,X29)
% 0.21/0.74 <=> ( earlier(X28,X29)
% 0.21/0.74 & legal(X29) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_09,axiom,
% 0.21/0.74 ! [X30,X31] :
% 0.21/0.74 ( earlier(X30,X31)
% 0.21/0.74 => ~ earlier(X31,X30) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_10,axiom,
% 0.21/0.74 ! [X32,X33] :
% 0.21/0.74 ( root_occ(X32,X33)
% 0.21/0.74 <=> ? [X34] :
% 0.21/0.74 ( occurrence_of(X33,X34)
% 0.21/0.74 & subactivity_occurrence(X32,X33)
% 0.21/0.74 & root(X32,X34) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_11,axiom,
% 0.21/0.74 ! [X35,X36] :
% 0.21/0.74 ( leaf_occ(X35,X36)
% 0.21/0.74 <=> ? [X37] :
% 0.21/0.74 ( occurrence_of(X36,X37)
% 0.21/0.74 & subactivity_occurrence(X35,X36)
% 0.21/0.74 & leaf(X35,X37) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_12,axiom,
% 0.21/0.74 ! [X38,X39] :
% 0.21/0.74 ( root(X38,X39)
% 0.21/0.74 => legal(X38) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_13,axiom,
% 0.21/0.74 ! [X40,X41] :
% 0.21/0.74 ( occurrence_of(X40,X41)
% 0.21/0.74 => ( arboreal(X40)
% 0.21/0.74 <=> atomic(X41) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_14,axiom,
% 0.21/0.74 ! [X42,X43] :
% 0.21/0.74 ( leaf(X42,X43)
% 0.21/0.74 <=> ( ( root(X42,X43)
% 0.21/0.74 | ? [X44] : min_precedes(X44,X42,X43) )
% 0.21/0.74 & ~ ? [X45] : min_precedes(X42,X45,X43) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_15,axiom,
% 0.21/0.74 ! [X46,X47] :
% 0.21/0.74 ( atocc(X46,X47)
% 0.21/0.74 <=> ? [X48] :
% 0.21/0.74 ( subactivity(X47,X48)
% 0.21/0.74 & atomic(X48)
% 0.21/0.74 & occurrence_of(X46,X48) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_16,axiom,
% 0.21/0.74 ! [X49,X50] :
% 0.21/0.74 ( ( atocc(X49,X50)
% 0.21/0.74 & legal(X49) )
% 0.21/0.74 => root(X49,X50) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_17,axiom,
% 0.21/0.74 ! [X51] :
% 0.21/0.74 ( legal(X51)
% 0.21/0.74 => arboreal(X51) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_18,axiom,
% 0.21/0.74 ! [X52] :
% 0.21/0.74 ( activity_occurrence(X52)
% 0.21/0.74 => ? [X53] :
% 0.21/0.74 ( activity(X53)
% 0.21/0.74 & occurrence_of(X52,X53) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_19,axiom,
% 0.21/0.74 ! [X54,X55] :
% 0.21/0.74 ( subactivity_occurrence(X54,X55)
% 0.21/0.74 => ( activity_occurrence(X54)
% 0.21/0.74 & activity_occurrence(X55) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_20,axiom,
% 0.21/0.74 ! [X56,X57,X58] :
% 0.21/0.74 ( ( occurrence_of(X56,X58)
% 0.21/0.74 & root_occ(X57,X56) )
% 0.21/0.74 => ~ ? [X59] : min_precedes(X59,X57,X58) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_21,axiom,
% 0.21/0.74 ! [X60,X61,X62] :
% 0.21/0.74 ( ( occurrence_of(X60,X62)
% 0.21/0.74 & leaf_occ(X61,X60) )
% 0.21/0.74 => ~ ? [X63] : min_precedes(X61,X63,X62) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_22,axiom,
% 0.21/0.74 ! [X64,X65,X66] :
% 0.21/0.74 ( ( occurrence_of(X64,X65)
% 0.21/0.74 & occurrence_of(X64,X66) )
% 0.21/0.74 => X65 = X66 ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_23,axiom,
% 0.21/0.74 ! [X67,X68] :
% 0.21/0.74 ( ( leaf(X67,X68)
% 0.21/0.74 & ~ atomic(X68) )
% 0.21/0.74 => ? [X69] :
% 0.21/0.74 ( occurrence_of(X69,X68)
% 0.21/0.74 & leaf_occ(X67,X69) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_24,axiom,
% 0.21/0.74 ! [X70,X71,X72] :
% 0.21/0.74 ( min_precedes(X71,X72,X70)
% 0.21/0.74 => ? [X73] :
% 0.21/0.74 ( occurrence_of(X73,X70)
% 0.21/0.74 & subactivity_occurrence(X71,X73)
% 0.21/0.74 & subactivity_occurrence(X72,X73) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_25,axiom,
% 0.21/0.74 ! [X74,X75] :
% 0.21/0.74 ( ( leaf(X74,X75)
% 0.21/0.74 & ~ atomic(X75) )
% 0.21/0.74 => ? [X76] :
% 0.21/0.74 ( occurrence_of(X76,X75)
% 0.21/0.74 & leaf_occ(X74,X76) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_26,axiom,
% 0.21/0.74 ! [X77,X78,X79] :
% 0.21/0.74 ( min_precedes(X78,X79,X77)
% 0.21/0.74 => ? [X80,X81] :
% 0.21/0.74 ( subactivity(X80,X77)
% 0.21/0.74 & subactivity(X81,X77)
% 0.21/0.74 & atocc(X78,X80)
% 0.21/0.74 & atocc(X79,X81) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_27,axiom,
% 0.21/0.74 ! [X82,X83] :
% 0.21/0.74 ( root(X83,X82)
% 0.21/0.74 => ? [X84] :
% 0.21/0.74 ( subactivity(X84,X82)
% 0.21/0.74 & atocc(X83,X84) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_28,axiom,
% 0.21/0.74 ! [X85,X86,X87,X88] :
% 0.21/0.74 ( ( occurrence_of(X86,X85)
% 0.21/0.74 & arboreal(X87)
% 0.21/0.74 & arboreal(X88)
% 0.21/0.74 & subactivity_occurrence(X87,X86)
% 0.21/0.74 & subactivity_occurrence(X88,X86) )
% 0.21/0.74 => ( min_precedes(X87,X88,X85)
% 0.21/0.74 | min_precedes(X88,X87,X85)
% 0.21/0.74 | X87 = X88 ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_29,axiom,
% 0.21/0.74 ! [X89,X90] :
% 0.21/0.74 ( occurrence_of(X90,X89)
% 0.21/0.74 => ( activity(X89)
% 0.21/0.74 & activity_occurrence(X90) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_30,axiom,
% 0.21/0.74 ! [X91,X92] :
% 0.21/0.74 ( ( occurrence_of(X92,X91)
% 0.21/0.74 & ~ atomic(X91) )
% 0.21/0.74 => ? [X93] :
% 0.21/0.74 ( root(X93,X91)
% 0.21/0.74 & subactivity_occurrence(X93,X92) ) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_31,axiom,
% 0.21/0.74 ! [X94] :
% 0.21/0.74 ( activity(X94)
% 0.21/0.74 => subactivity(X94,X94) ) ).
% 0.21/0.74
% 0.21/0.74 fof(sos_32,axiom,
% 0.21/0.74 ! [X95,X96] :
% 0.21/0.74 ( ( occurrence_of(X96,tptp0)
% 0.21/0.74 & subactivity_occurrence(X95,X96)
% 0.21/0.74 & arboreal(X95)
% 0.21/0.74 & ~ leaf_occ(X95,X96) )
% 0.21/0.74 => ? [X97,X98,X99] :
% 0.21/0.74 ( occurrence_of(X97,tptp3)
% 0.21/0.74 & next_subocc(X95,X97,tptp0)
% 0.21/0.75 & occurrence_of(X98,tptp4)
% 0.21/0.75 & next_subocc(X97,X98,tptp0)
% 0.21/0.75 & ( occurrence_of(X99,tptp2)
% 0.21/0.75 | occurrence_of(X99,tptp1) )
% 0.21/0.75 & next_subocc(X98,X99,tptp0)
% 0.21/0.75 & leaf(X99,tptp0) ) ) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_33,axiom,
% 0.21/0.75 activity(tptp0) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_34,axiom,
% 0.21/0.75 ~ atomic(tptp0) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_35,axiom,
% 0.21/0.75 atomic(tptp4) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_36,axiom,
% 0.21/0.75 atomic(tptp2) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_37,axiom,
% 0.21/0.75 atomic(tptp1) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_38,axiom,
% 0.21/0.75 atomic(tptp3) ).
% 0.21/0.75
% 0.21/0.75 fof(sos_39,axiom,
% 0.21/0.75 tptp4 != tptp3 ).
% 0.21/0.75
% 0.21/0.75 fof(sos_40,axiom,
% 0.21/0.75 tptp4 != tptp2 ).
% 0.21/0.75
% 0.21/0.75 fof(sos_41,axiom,
% 0.21/0.75 tptp4 != tptp1 ).
% 0.21/0.75
% 0.21/0.75 fof(sos_42,axiom,
% 0.21/0.75 tptp3 != tptp2 ).
% 0.21/0.75
% 0.21/0.75 fof(sos_43,axiom,
% 0.21/0.75 tptp3 != tptp1 ).
% 0.21/0.75
% 0.21/0.75 fof(sos_44,axiom,
% 0.21/0.75 tptp2 != tptp1 ).
% 0.21/0.75
% 0.21/0.75 fof(goals,conjecture,
% 0.21/0.75 ! [X100,X101] :
% 0.21/0.75 ( ( occurrence_of(X101,tptp0)
% 0.21/0.75 & subactivity_occurrence(X100,X101)
% 0.21/0.75 & arboreal(X100)
% 0.21/0.75 & ~ leaf_occ(X100,X101) )
% 0.21/0.75 => ? [X102,X103] :
% 0.21/0.75 ( occurrence_of(X102,tptp3)
% 0.21/0.75 & next_subocc(X100,X102,tptp0)
% 0.21/0.75 & ( occurrence_of(X103,tptp2)
% 0.21/0.75 | occurrence_of(X103,tptp1) )
% 0.21/0.75 & min_precedes(X102,X103,tptp0)
% 0.21/0.75 & leaf(X103,tptp0) ) ) ).
% 0.21/0.75
% 0.21/0.75 %------------------------------------------------------------------------------
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % Proof found
% 0.21/0.75 % SZS status Theorem for theBenchmark
% 0.21/0.75 % SZS output start Proof
% 0.21/0.75 %ClaNum:156(EqnAxiom:68)
% 0.21/0.75 %VarNum:432(SingletonVarNum:175)
% 0.21/0.75 %MaxLitNum:8
% 0.21/0.75 %MaxfuncDepth:1
% 0.21/0.75 %SharedTerms:23
% 0.21/0.75 %goalClause: 73 75 76 84 151 152
% 0.21/0.75 %singleGoalClaCount:4
% 0.21/0.75 [69]P1(a1)
% 0.21/0.75 [70]P1(a24)
% 0.21/0.75 [71]P1(a2)
% 0.21/0.75 [72]P1(a3)
% 0.21/0.75 [73]P2(a4)
% 0.21/0.75 [74]P3(a13)
% 0.21/0.75 [75]P6(a14,a13)
% 0.21/0.75 [76]P13(a4,a14)
% 0.21/0.75 [77]~E(a1,a24)
% 0.21/0.75 [78]~E(a1,a2)
% 0.21/0.75 [79]~E(a2,a24)
% 0.21/0.75 [80]~E(a1,a3)
% 0.21/0.75 [81]~E(a3,a24)
% 0.21/0.75 [82]~E(a3,a2)
% 0.21/0.75 [83]~P1(a13)
% 0.21/0.75 [84]~P7(a4,a14)
% 0.21/0.75 [85]~P10(x851)+P2(x851)
% 0.21/0.75 [87]~P3(x871)+P14(x871,x871)
% 0.21/0.75 [86]~P4(x861)+P3(f15(x861))
% 0.21/0.75 [94]~P4(x941)+P6(x941,f15(x941))
% 0.21/0.75 [88]P10(x881)+~P15(x882,x881)
% 0.21/0.75 [89]P10(x891)+~P16(x891,x892)
% 0.21/0.75 [90]P4(x901)+~P6(x901,x902)
% 0.21/0.75 [91]P4(x911)+~P13(x912,x911)
% 0.21/0.75 [92]P4(x921)+~P13(x921,x922)
% 0.21/0.75 [93]P3(x931)+~P6(x932,x931)
% 0.21/0.75 [97]~P15(x971,x972)+P8(x971,x972)
% 0.21/0.75 [98]~P17(x981,x982)+P13(x981,x982)
% 0.21/0.75 [99]~P7(x991,x992)+P13(x991,x992)
% 0.21/0.75 [102]~P8(x1022,x1021)+~P8(x1021,x1022)
% 0.21/0.75 [104]~P5(x1041,x1042)+P1(f16(x1041,x1042))
% 0.21/0.75 [106]~P17(x1062,x1061)+P6(x1061,f17(x1062,x1061))
% 0.21/0.75 [107]~P7(x1072,x1071)+P6(x1071,f19(x1072,x1071))
% 0.21/0.75 [108]~P5(x1081,x1082)+P6(x1081,f16(x1081,x1082))
% 0.21/0.75 [109]~P17(x1091,x1092)+P16(x1091,f17(x1091,x1092))
% 0.21/0.75 [110]~P7(x1101,x1102)+P9(x1101,f19(x1101,x1102))
% 0.21/0.75 [111]~P16(x1111,x1112)+P5(x1111,f5(x1112,x1111))
% 0.21/0.75 [112]~P5(x1122,x1121)+P14(x1121,f16(x1122,x1121))
% 0.21/0.75 [113]~P16(x1132,x1131)+P14(f5(x1131,x1132),x1131)
% 0.21/0.75 [128]P2(x1281)+~P11(x1282,x1281,x1283)
% 0.21/0.75 [129]P2(x1291)+~P11(x1291,x1292,x1293)
% 0.21/0.75 [130]P15(x1301,x1302)+~P12(x1301,x1302,x1303)
% 0.21/0.75 [132]~P16(x1321,x1322)+~P12(x1323,x1321,x1322)
% 0.21/0.75 [133]~P9(x1331,x1332)+~P12(x1331,x1333,x1332)
% 0.21/0.75 [141]~P11(x1411,x1412,x1413)+P12(x1411,x1412,x1413)
% 0.21/0.75 [144]~P12(x1443,x1441,x1442)+P13(x1441,f23(x1442,x1443,x1441))
% 0.21/0.75 [145]~P12(x1451,x1453,x1452)+P13(x1451,f23(x1452,x1451,x1453))
% 0.21/0.75 [146]~P12(x1461,x1463,x1462)+P5(x1461,f7(x1462,x1461,x1463))
% 0.21/0.75 [147]~P12(x1473,x1471,x1472)+P5(x1471,f8(x1472,x1473,x1471))
% 0.21/0.75 [148]~P12(x1482,x1483,x1481)+P6(f23(x1481,x1482,x1483),x1481)
% 0.21/0.75 [149]~P12(x1492,x1493,x1491)+P14(f7(x1491,x1492,x1493),x1491)
% 0.21/0.75 [150]~P12(x1502,x1503,x1501)+P14(f8(x1501,x1502,x1503),x1501)
% 0.21/0.75 [95]~P6(x952,x951)+P1(x951)+~P2(x952)
% 0.21/0.75 [96]~P6(x961,x962)+P2(x961)+~P1(x962)
% 0.21/0.75 [100]~P10(x1002)+~P8(x1001,x1002)+P15(x1001,x1002)
% 0.21/0.75 [101]~P10(x1011)+~P5(x1011,x1012)+P16(x1011,x1012)
% 0.21/0.75 [115]~P9(x1152,x1151)+P1(x1151)+P7(x1152,f22(x1152,x1151))
% 0.21/0.75 [116]~P9(x1162,x1161)+P1(x1161)+P7(x1162,f6(x1162,x1161))
% 0.21/0.75 [117]~P9(x1172,x1171)+P1(x1171)+P6(f22(x1172,x1171),x1171)
% 0.21/0.75 [118]~P9(x1182,x1181)+P1(x1181)+P6(f6(x1182,x1181),x1181)
% 0.21/0.75 [119]~P6(x1192,x1191)+P1(x1191)+P16(f9(x1191,x1192),x1191)
% 0.21/0.75 [120]~P6(x1202,x1201)+P1(x1201)+P13(f9(x1201,x1202),x1202)
% 0.21/0.75 [134]~P16(x1341,x1342)+P9(x1341,x1342)+P12(x1341,f20(x1341,x1342),x1342)
% 0.21/0.75 [135]~P9(x1351,x1352)+P16(x1351,x1352)+P12(f21(x1351,x1352),x1351,x1352)
% 0.21/0.75 [103]~P6(x1033,x1031)+E(x1031,x1032)+~P6(x1033,x1032)
% 0.21/0.75 [105]~P8(x1051,x1053)+P8(x1051,x1052)+~P8(x1053,x1052)
% 0.21/0.75 [142]P9(x1421,x1422)+~P12(x1423,x1421,x1422)+P12(x1421,f20(x1421,x1422),x1422)
% 0.21/0.75 [155]~P12(x1551,x1552,x1553)+P11(x1551,x1552,x1553)+P12(x1551,f18(x1551,x1552,x1553),x1553)
% 0.21/0.75 [156]~P12(x1561,x1562,x1563)+P11(x1561,x1562,x1563)+P12(f18(x1561,x1562,x1563),x1562,x1563)
% 0.21/0.75 [139]~P6(x1391,x1392)+~P12(x1394,x1393,x1392)+~P17(x1393,x1391)
% 0.21/0.75 [140]~P6(x1401,x1402)+~P12(x1403,x1404,x1402)+~P7(x1403,x1401)
% 0.21/0.75 [153]~P12(x1531,x1534,x1533)+P12(x1531,x1532,x1533)+~P12(x1534,x1532,x1533)
% 0.21/0.75 [154]~P11(x1544,x1542,x1543)+~P12(x1541,x1542,x1543)+~P12(x1544,x1541,x1543)
% 0.21/0.75 [114]~P6(x1141,x1143)+~P14(x1142,x1143)+P5(x1141,x1142)+~P1(x1143)
% 0.21/0.75 [123]~P16(x1231,x1233)+~P13(x1231,x1232)+P17(x1231,x1232)+~P6(x1232,x1233)
% 0.21/0.75 [124]~P13(x1241,x1242)+~P9(x1241,x1243)+P7(x1241,x1242)+~P6(x1242,x1243)
% 0.21/0.75 [121]~P17(x1212,x1213)+~P17(x1211,x1213)+E(x1211,x1212)+~P6(x1213,x1214)
% 0.21/0.75 [151]~P12(x1511,x1512,a13)+~P9(x1512,a13)+~P6(x1511,a1)+~P6(x1512,a2)+~P11(a4,x1511,a13)
% 0.21/0.75 [152]~P12(x1521,x1522,a13)+~P9(x1522,a13)+~P6(x1521,a1)+~P6(x1522,a3)+~P11(a4,x1521,a13)
% 0.21/0.75 [125]~P2(x1251)+~P13(x1251,x1252)+P7(x1251,x1252)+~P6(x1252,a13)+P6(f10(x1251),a1)
% 0.21/0.75 [126]~P2(x1261)+~P13(x1261,x1262)+P7(x1261,x1262)+~P6(x1262,a13)+P6(f11(x1261),a24)
% 0.21/0.75 [127]~P2(x1271)+~P13(x1271,x1272)+P7(x1271,x1272)+~P6(x1272,a13)+P9(f12(x1271),a13)
% 0.21/0.75 [136]~P2(x1361)+~P13(x1361,x1362)+P7(x1361,x1362)+~P6(x1362,a13)+P11(x1361,f10(x1361),a13)
% 0.21/0.75 [137]~P2(x1371)+~P13(x1371,x1372)+P7(x1371,x1372)+~P6(x1372,a13)+P11(f10(x1371),f11(x1371),a13)
% 0.21/0.75 [138]~P2(x1381)+~P13(x1381,x1382)+P7(x1381,x1382)+~P6(x1382,a13)+P11(f11(x1381),f12(x1381),a13)
% 0.21/0.75 [122]~P7(x1222,x1224)+~P7(x1221,x1224)+E(x1221,x1222)+~P6(x1224,x1223)+P1(x1223)
% 0.21/0.75 [131]~P2(x1311)+~P13(x1311,x1312)+P7(x1311,x1312)+~P6(x1312,a13)+P6(f12(x1311),a2)+P6(f12(x1311),a3)
% 0.21/0.75 [143]P12(x1431,x1432,x1433)+~P2(x1432)+~P2(x1431)+~P13(x1432,x1434)+~P13(x1431,x1434)+E(x1431,x1432)+P12(x1432,x1431,x1433)+~P6(x1434,x1433)
% 0.21/0.75 %EqnAxiom
% 0.21/0.75 [1]E(x11,x11)
% 0.21/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.75 [4]~E(x41,x42)+E(f15(x41),f15(x42))
% 0.21/0.75 [5]~E(x51,x52)+E(f18(x51,x53,x54),f18(x52,x53,x54))
% 0.21/0.75 [6]~E(x61,x62)+E(f18(x63,x61,x64),f18(x63,x62,x64))
% 0.21/0.75 [7]~E(x71,x72)+E(f18(x73,x74,x71),f18(x73,x74,x72))
% 0.21/0.75 [8]~E(x81,x82)+E(f16(x81,x83),f16(x82,x83))
% 0.21/0.75 [9]~E(x91,x92)+E(f16(x93,x91),f16(x93,x92))
% 0.21/0.75 [10]~E(x101,x102)+E(f17(x101,x103),f17(x102,x103))
% 0.21/0.75 [11]~E(x111,x112)+E(f17(x113,x111),f17(x113,x112))
% 0.21/0.75 [12]~E(x121,x122)+E(f19(x121,x123),f19(x122,x123))
% 0.21/0.75 [13]~E(x131,x132)+E(f19(x133,x131),f19(x133,x132))
% 0.21/0.75 [14]~E(x141,x142)+E(f8(x141,x143,x144),f8(x142,x143,x144))
% 0.21/0.75 [15]~E(x151,x152)+E(f8(x153,x151,x154),f8(x153,x152,x154))
% 0.21/0.75 [16]~E(x161,x162)+E(f8(x163,x164,x161),f8(x163,x164,x162))
% 0.21/0.75 [17]~E(x171,x172)+E(f23(x171,x173,x174),f23(x172,x173,x174))
% 0.21/0.75 [18]~E(x181,x182)+E(f23(x183,x181,x184),f23(x183,x182,x184))
% 0.21/0.75 [19]~E(x191,x192)+E(f23(x193,x194,x191),f23(x193,x194,x192))
% 0.21/0.75 [20]~E(x201,x202)+E(f7(x201,x203,x204),f7(x202,x203,x204))
% 0.21/0.75 [21]~E(x211,x212)+E(f7(x213,x211,x214),f7(x213,x212,x214))
% 0.21/0.75 [22]~E(x221,x222)+E(f7(x223,x224,x221),f7(x223,x224,x222))
% 0.21/0.75 [23]~E(x231,x232)+E(f5(x231,x233),f5(x232,x233))
% 0.21/0.75 [24]~E(x241,x242)+E(f5(x243,x241),f5(x243,x242))
% 0.21/0.75 [25]~E(x251,x252)+E(f20(x251,x253),f20(x252,x253))
% 0.21/0.75 [26]~E(x261,x262)+E(f20(x263,x261),f20(x263,x262))
% 0.21/0.75 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 0.21/0.75 [28]~E(x281,x282)+E(f22(x281,x283),f22(x282,x283))
% 0.21/0.75 [29]~E(x291,x292)+E(f22(x293,x291),f22(x293,x292))
% 0.21/0.75 [30]~E(x301,x302)+E(f6(x301,x303),f6(x302,x303))
% 0.21/0.75 [31]~E(x311,x312)+E(f6(x313,x311),f6(x313,x312))
% 0.21/0.75 [32]~E(x321,x322)+E(f21(x321,x323),f21(x322,x323))
% 0.21/0.75 [33]~E(x331,x332)+E(f21(x333,x331),f21(x333,x332))
% 0.21/0.75 [34]~E(x341,x342)+E(f11(x341),f11(x342))
% 0.21/0.75 [35]~E(x351,x352)+E(f9(x351,x353),f9(x352,x353))
% 0.21/0.75 [36]~E(x361,x362)+E(f9(x363,x361),f9(x363,x362))
% 0.21/0.75 [37]~E(x371,x372)+E(f10(x371),f10(x372))
% 0.21/0.75 [38]~P1(x381)+P1(x382)+~E(x381,x382)
% 0.21/0.75 [39]P12(x392,x393,x394)+~E(x391,x392)+~P12(x391,x393,x394)
% 0.21/0.75 [40]P12(x403,x402,x404)+~E(x401,x402)+~P12(x403,x401,x404)
% 0.21/0.75 [41]P12(x413,x414,x412)+~E(x411,x412)+~P12(x413,x414,x411)
% 0.21/0.75 [42]P6(x422,x423)+~E(x421,x422)+~P6(x421,x423)
% 0.21/0.75 [43]P6(x433,x432)+~E(x431,x432)+~P6(x433,x431)
% 0.21/0.75 [44]P11(x442,x443,x444)+~E(x441,x442)+~P11(x441,x443,x444)
% 0.21/0.75 [45]P11(x453,x452,x454)+~E(x451,x452)+~P11(x453,x451,x454)
% 0.21/0.75 [46]P11(x463,x464,x462)+~E(x461,x462)+~P11(x463,x464,x461)
% 0.21/0.75 [47]~P2(x471)+P2(x472)+~E(x471,x472)
% 0.21/0.75 [48]~P3(x481)+P3(x482)+~E(x481,x482)
% 0.21/0.75 [49]P13(x492,x493)+~E(x491,x492)+~P13(x491,x493)
% 0.21/0.75 [50]P13(x503,x502)+~E(x501,x502)+~P13(x503,x501)
% 0.21/0.75 [51]P7(x512,x513)+~E(x511,x512)+~P7(x511,x513)
% 0.21/0.75 [52]P7(x523,x522)+~E(x521,x522)+~P7(x523,x521)
% 0.21/0.75 [53]P9(x532,x533)+~E(x531,x532)+~P9(x531,x533)
% 0.21/0.75 [54]P9(x543,x542)+~E(x541,x542)+~P9(x543,x541)
% 0.21/0.75 [55]P16(x552,x553)+~E(x551,x552)+~P16(x551,x553)
% 0.21/0.75 [56]P16(x563,x562)+~E(x561,x562)+~P16(x563,x561)
% 0.21/0.75 [57]P14(x572,x573)+~E(x571,x572)+~P14(x571,x573)
% 0.21/0.75 [58]P14(x583,x582)+~E(x581,x582)+~P14(x583,x581)
% 0.21/0.75 [59]~P10(x591)+P10(x592)+~E(x591,x592)
% 0.21/0.75 [60]P5(x602,x603)+~E(x601,x602)+~P5(x601,x603)
% 0.21/0.75 [61]P5(x613,x612)+~E(x611,x612)+~P5(x613,x611)
% 0.21/0.75 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 0.21/0.75 [63]P15(x632,x633)+~E(x631,x632)+~P15(x631,x633)
% 0.21/0.75 [64]P15(x643,x642)+~E(x641,x642)+~P15(x643,x641)
% 0.21/0.75 [65]P8(x652,x653)+~E(x651,x652)+~P8(x651,x653)
% 0.21/0.75 [66]P8(x663,x662)+~E(x661,x662)+~P8(x663,x661)
% 0.21/0.75 [67]P17(x672,x673)+~E(x671,x672)+~P17(x671,x673)
% 0.21/0.75 [68]P17(x683,x682)+~E(x681,x682)+~P17(x683,x681)
% 0.21/0.75
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 cnf(157,plain,
% 0.21/0.75 (~P6(a4,a13)),
% 0.21/0.75 inference(scs_inference,[],[73,83,95])).
% 0.21/0.75 cnf(158,plain,
% 0.21/0.75 (~P9(a4,a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,83,95,124])).
% 0.21/0.75 cnf(166,plain,
% 0.21/0.75 (P6(a4,f15(a4))),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,74,77,83,95,124,2,92,91,87,94])).
% 0.21/0.75 cnf(176,plain,
% 0.21/0.75 (P16(f9(a13,a14),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119])).
% 0.21/0.75 cnf(178,plain,
% 0.21/0.75 (P17(f9(a13,a14),a14)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123])).
% 0.21/0.75 cnf(180,plain,
% 0.21/0.75 (P11(a4,f10(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136])).
% 0.21/0.75 cnf(182,plain,
% 0.21/0.75 (P9(f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127])).
% 0.21/0.75 cnf(188,plain,
% 0.21/0.75 (P11(f11(a4),f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127,126,125,138])).
% 0.21/0.75 cnf(190,plain,
% 0.21/0.75 (P11(f10(a4),f11(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127,126,125,138,137])).
% 0.21/0.75 cnf(200,plain,
% 0.21/0.75 (P10(f9(a13,a14))),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127,126,125,138,137,129,128,93,90,89])).
% 0.21/0.75 cnf(204,plain,
% 0.21/0.75 (P6(f6(f12(a4),a13),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127,126,125,138,137,129,128,93,90,89,103,118])).
% 0.21/0.75 cnf(208,plain,
% 0.21/0.75 (P7(f12(a4),f6(f12(a4),a13))),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,62,43,42,38,120,119,123,136,127,126,125,138,137,129,128,93,90,89,103,118,117,116])).
% 0.21/0.75 cnf(222,plain,
% 0.21/0.75 (~P12(f10(a4),f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[73,75,76,84,69,74,77,83,95,124,2,92,91,87,94,86,43,42,38,120,119,123,136,127,126,125,138,137,129,128,93,90,89,103,118,117,116,115,152,151,131])).
% 0.21/0.75 cnf(224,plain,
% 0.21/0.75 (P12(f11(a4),f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[188,141])).
% 0.21/0.75 cnf(226,plain,
% 0.21/0.75 (~P12(f12(a4),x2261,a13)),
% 0.21/0.75 inference(scs_inference,[],[188,182,141,133])).
% 0.21/0.75 cnf(228,plain,
% 0.21/0.75 (~P12(x2281,f9(a13,a14),a13)),
% 0.21/0.75 inference(scs_inference,[],[176,188,182,141,133,132])).
% 0.21/0.75 cnf(232,plain,
% 0.21/0.75 (P2(f9(a13,a14))),
% 0.21/0.75 inference(scs_inference,[],[200,208,176,188,182,141,133,132,99,85])).
% 0.21/0.75 cnf(246,plain,
% 0.21/0.75 (P6(f23(a13,f11(a4),f12(a4)),a13)),
% 0.21/0.75 inference(scs_inference,[],[200,208,178,176,188,182,141,133,132,99,85,113,111,109,106,150,149,148])).
% 0.21/0.75 cnf(248,plain,
% 0.21/0.75 (P5(f12(a4),f8(a13,f11(a4),f12(a4)))),
% 0.21/0.75 inference(scs_inference,[],[200,208,178,176,188,182,141,133,132,99,85,113,111,109,106,150,149,148,147])).
% 0.21/0.75 cnf(254,plain,
% 0.21/0.75 (P13(f12(a4),f23(a13,f11(a4),f12(a4)))),
% 0.21/0.75 inference(scs_inference,[],[200,208,178,176,188,182,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144])).
% 0.21/0.75 cnf(259,plain,
% 0.21/0.75 (~P12(f10(a4),f11(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[200,222,208,178,176,188,182,158,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144,53,40,39,153])).
% 0.21/0.75 cnf(273,plain,
% 0.21/0.75 (~P17(f12(a4),a14)),
% 0.21/0.75 inference(scs_inference,[],[73,70,84,83,76,75,200,222,208,178,176,188,204,166,182,158,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144,53,40,39,153,122,95,124,38,59,154,140,139])).
% 0.21/0.75 cnf(278,plain,
% 0.21/0.75 (P15(f11(a4),f12(a4))),
% 0.21/0.75 inference(scs_inference,[],[73,70,84,83,76,75,200,222,208,157,178,176,188,204,166,182,158,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144,53,40,39,153,122,95,124,38,59,154,140,139,101,42,130])).
% 0.21/0.75 cnf(280,plain,
% 0.21/0.75 (P8(f11(a4),f12(a4))),
% 0.21/0.75 inference(scs_inference,[],[73,70,84,83,76,75,200,222,208,157,178,176,188,204,166,182,158,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144,53,40,39,153,122,95,124,38,59,154,140,139,101,42,130,97])).
% 0.21/0.75 cnf(282,plain,
% 0.21/0.75 (P10(f12(a4))),
% 0.21/0.75 inference(scs_inference,[],[73,70,84,83,76,75,200,222,208,157,178,176,188,204,166,182,158,141,133,132,99,85,113,111,109,106,150,149,148,147,146,145,144,53,40,39,153,122,95,124,38,59,154,140,139,101,42,130,97,88])).
% 0.21/0.75 cnf(309,plain,
% 0.21/0.75 (~P16(f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[248,228,273,280,282,224,178,102,67,133,101,141,132])).
% 0.21/0.75 cnf(328,plain,
% 0.21/0.75 (~P11(a14,x3281,x3282)),
% 0.21/0.75 inference(scs_inference,[],[75,71,83,232,180,254,248,228,273,226,280,282,224,246,182,178,102,67,133,101,141,132,97,53,39,95,96,124,68,56,47,45,130,129])).
% 0.21/0.75 cnf(334,plain,
% 0.21/0.75 (~P15(x3341,a14)),
% 0.21/0.75 inference(scs_inference,[],[75,71,83,232,180,254,248,228,273,226,280,282,224,246,182,178,102,67,133,101,141,132,97,53,39,95,96,124,68,56,47,45,130,129,128,85,88])).
% 0.21/0.75 cnf(336,plain,
% 0.21/0.75 (P12(f21(f12(a4),a13),f12(a4),a13)),
% 0.21/0.75 inference(scs_inference,[],[75,71,83,232,180,254,248,228,273,226,280,282,224,246,182,178,102,67,133,101,141,132,97,53,39,95,96,124,68,56,47,45,130,129,128,85,88,135])).
% 0.21/0.75 cnf(379,plain,
% 0.21/0.75 ($false),
% 0.21/0.75 inference(scs_inference,[],[190,309,336,259,278,328,334,282,188,222,64,44,130,128,101,153,141]),
% 0.21/0.75 ['proof']).
% 0.21/0.75 % SZS output end Proof
% 0.21/0.75 % Total time :0.100000s
%------------------------------------------------------------------------------