TSTP Solution File: PRO011+4 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO011+4 : 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 13:05:49 EDT 2023
% Result : Theorem 0.12s 0.67s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.18 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.38 % Computer : n019.cluster.edu
% 0.07/0.38 % Model : x86_64 x86_64
% 0.07/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.38 % Memory : 8042.1875MB
% 0.07/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.38 % CPULimit : 300
% 0.07/0.38 % WCLimit : 300
% 0.07/0.38 % DateTime : Mon Aug 28 19:32:13 EDT 2023
% 0.12/0.38 % CPUTime :
% 0.12/0.58 start to proof:theBenchmark
% 0.12/0.66 %-------------------------------------------
% 0.12/0.66 % File :CSE---1.6
% 0.12/0.66 % Problem :theBenchmark
% 0.12/0.66 % Transform :cnf
% 0.12/0.66 % Format :tptp:raw
% 0.12/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.12/0.66
% 0.12/0.66 % Result :Theorem 0.020000s
% 0.12/0.66 % Output :CNFRefutation 0.020000s
% 0.12/0.66 %-------------------------------------------
% 0.12/0.66 %------------------------------------------------------------------------------
% 0.12/0.66 % File : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.66 % Domain : Processes
% 0.12/0.66 % Problem : PSL cliff problem coe-7.1.3-subocc
% 0.12/0.66 % Version : Especial : Augmented > Especial.
% 0.12/0.66 % English :
% 0.12/0.66 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 0.12/0.66 % Source : [Hal09]
% 0.12/0.66 % Names : unique-cat-p9x__coe-7.1.3-subocc-pd [Hal09]
% 0.12/0.66
% 0.12/0.66 % Status : Theorem
% 0.12/0.66 % Rating : 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.05 v5.1.0, 0.14 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0
% 0.12/0.66 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 0.12/0.66 % Number of atoms : 147 ( 12 equ)
% 0.12/0.66 % Maximal formula atoms : 10 ( 3 avg)
% 0.12/0.66 % Number of connectives : 121 ( 20 ~; 4 |; 60 &)
% 0.12/0.66 % ( 7 <=>; 30 =>; 0 <=; 0 <~>)
% 0.12/0.66 % Maximal formula depth : 13 ( 6 avg)
% 0.12/0.66 % Maximal term depth : 1 ( 1 avg)
% 0.12/0.66 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 0.12/0.66 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.12/0.66 % Number of variables : 110 ( 89 !; 21 ?)
% 0.12/0.66 % SPC : FOF_THM_RFO_SEQ
% 0.12/0.66
% 0.12/0.66 % Comments :
% 0.12/0.66 %------------------------------------------------------------------------------
% 0.12/0.66 fof(sos,axiom,
% 0.12/0.66 ! [X0,X1] :
% 0.12/0.66 ( ( occurrence_of(X1,X0)
% 0.12/0.66 & ~ atomic(X0) )
% 0.12/0.66 => ? [X2] :
% 0.12/0.66 ( root(X2,X0)
% 0.12/0.66 & subactivity_occurrence(X2,X1) ) ) ).
% 0.12/0.66
% 0.12/0.66 fof(sos_01,axiom,
% 0.12/0.66 ! [X3,X4,X5,X6,X7] :
% 0.12/0.66 ( ( occurrence_of(X4,X3)
% 0.12/0.66 & root_occ(X6,X4)
% 0.12/0.66 & leaf_occ(X7,X4)
% 0.12/0.66 & subactivity_occurrence(X5,X4)
% 0.12/0.66 & min_precedes(X6,X5,X3)
% 0.12/0.66 & X5 != X7 )
% 0.12/0.66 => min_precedes(X5,X7,X3) ) ).
% 0.12/0.66
% 0.12/0.66 fof(sos_02,axiom,
% 0.12/0.66 ! [X8,X9,X10,X11] :
% 0.12/0.66 ( ( occurrence_of(X9,X8)
% 0.12/0.66 & subactivity_occurrence(X10,X9)
% 0.12/0.66 & leaf_occ(X11,X9)
% 0.12/0.66 & arboreal(X10)
% 0.12/0.66 & ~ min_precedes(X10,X11,X8) )
% 0.12/0.66 => X11 = X10 ) ).
% 0.12/0.66
% 0.12/0.66 fof(sos_03,axiom,
% 0.12/0.66 ! [X12,X13] :
% 0.12/0.66 ( occurrence_of(X13,X12)
% 0.12/0.66 => ( activity(X12)
% 0.12/0.66 & activity_occurrence(X13) ) ) ).
% 0.12/0.66
% 0.12/0.66 fof(sos_04,axiom,
% 0.12/0.66 ! [X14,X15,X16,X17] :
% 0.12/0.66 ( ( occurrence_of(X15,X14)
% 0.12/0.67 & arboreal(X16)
% 0.12/0.67 & arboreal(X17)
% 0.12/0.67 & subactivity_occurrence(X16,X15)
% 0.12/0.67 & subactivity_occurrence(X17,X15) )
% 0.12/0.67 => ( min_precedes(X16,X17,X14)
% 0.12/0.67 | min_precedes(X17,X16,X14)
% 0.12/0.67 | X16 = X17 ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_05,axiom,
% 0.12/0.67 ! [X18,X19] :
% 0.12/0.67 ( root(X19,X18)
% 0.12/0.67 => ? [X20] :
% 0.12/0.67 ( subactivity(X20,X18)
% 0.12/0.67 & atocc(X19,X20) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_06,axiom,
% 0.12/0.67 ! [X21,X22,X23] :
% 0.12/0.67 ( min_precedes(X22,X23,X21)
% 0.12/0.67 => ? [X24] :
% 0.12/0.67 ( occurrence_of(X24,X21)
% 0.12/0.67 & subactivity_occurrence(X22,X24)
% 0.12/0.67 & subactivity_occurrence(X23,X24) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_07,axiom,
% 0.12/0.67 ! [X25,X26] :
% 0.12/0.67 ( ( leaf(X25,X26)
% 0.12/0.67 & ~ atomic(X26) )
% 0.12/0.67 => ? [X27] :
% 0.12/0.67 ( occurrence_of(X27,X26)
% 0.12/0.67 & leaf_occ(X25,X27) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_08,axiom,
% 0.12/0.67 ! [X28,X29,X30] :
% 0.12/0.67 ( ( occurrence_of(X28,X29)
% 0.12/0.67 & occurrence_of(X28,X30) )
% 0.12/0.67 => X29 = X30 ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_09,axiom,
% 0.12/0.67 ! [X31,X32,X33] :
% 0.12/0.67 ( ( occurrence_of(X31,X33)
% 0.12/0.67 & leaf_occ(X32,X31) )
% 0.12/0.67 => ~ ? [X34] : min_precedes(X32,X34,X33) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_10,axiom,
% 0.12/0.67 ! [X35,X36,X37] :
% 0.12/0.67 ( ( occurrence_of(X35,X37)
% 0.12/0.67 & root_occ(X36,X35) )
% 0.12/0.67 => ~ ? [X38] : min_precedes(X38,X36,X37) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_11,axiom,
% 0.12/0.67 ! [X39,X40] :
% 0.12/0.67 ( subactivity_occurrence(X39,X40)
% 0.12/0.67 => ( activity_occurrence(X39)
% 0.12/0.67 & activity_occurrence(X40) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_12,axiom,
% 0.12/0.67 ! [X41] :
% 0.12/0.67 ( activity_occurrence(X41)
% 0.12/0.67 => ? [X42] :
% 0.12/0.67 ( activity(X42)
% 0.12/0.67 & occurrence_of(X41,X42) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_13,axiom,
% 0.12/0.67 ! [X43] :
% 0.12/0.67 ( legal(X43)
% 0.12/0.67 => arboreal(X43) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_14,axiom,
% 0.12/0.67 ! [X44,X45] :
% 0.12/0.67 ( atocc(X44,X45)
% 0.12/0.67 <=> ? [X46] :
% 0.12/0.67 ( subactivity(X45,X46)
% 0.12/0.67 & atomic(X46)
% 0.12/0.67 & occurrence_of(X44,X46) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_15,axiom,
% 0.12/0.67 ! [X47,X48] :
% 0.12/0.67 ( leaf(X47,X48)
% 0.12/0.67 <=> ( ( root(X47,X48)
% 0.12/0.67 | ? [X49] : min_precedes(X49,X47,X48) )
% 0.12/0.67 & ~ ? [X50] : min_precedes(X47,X50,X48) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_16,axiom,
% 0.12/0.67 ! [X51,X52] :
% 0.12/0.67 ( occurrence_of(X51,X52)
% 0.12/0.67 => ( arboreal(X51)
% 0.12/0.67 <=> atomic(X52) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_17,axiom,
% 0.12/0.67 ! [X53,X54] :
% 0.12/0.67 ( root(X53,X54)
% 0.12/0.67 => legal(X53) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_18,axiom,
% 0.12/0.67 ! [X55,X56] :
% 0.12/0.67 ( leaf_occ(X55,X56)
% 0.12/0.67 <=> ? [X57] :
% 0.12/0.67 ( occurrence_of(X56,X57)
% 0.12/0.67 & subactivity_occurrence(X55,X56)
% 0.12/0.67 & leaf(X55,X57) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_19,axiom,
% 0.12/0.67 ! [X58,X59] :
% 0.12/0.67 ( root_occ(X58,X59)
% 0.12/0.67 <=> ? [X60] :
% 0.12/0.67 ( occurrence_of(X59,X60)
% 0.12/0.67 & subactivity_occurrence(X58,X59)
% 0.12/0.67 & root(X58,X60) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_20,axiom,
% 0.12/0.67 ! [X61,X62] :
% 0.12/0.67 ( earlier(X61,X62)
% 0.12/0.67 => ~ earlier(X62,X61) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_21,axiom,
% 0.12/0.67 ! [X63,X64] :
% 0.12/0.67 ( precedes(X63,X64)
% 0.12/0.67 <=> ( earlier(X63,X64)
% 0.12/0.67 & legal(X64) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_22,axiom,
% 0.12/0.67 ! [X65,X66,X67] :
% 0.12/0.67 ( min_precedes(X65,X66,X67)
% 0.12/0.67 => ~ root(X66,X67) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_23,axiom,
% 0.12/0.67 ! [X68,X69,X70] :
% 0.12/0.67 ( min_precedes(X68,X69,X70)
% 0.12/0.67 => ? [X71] :
% 0.12/0.67 ( root(X71,X70)
% 0.12/0.67 & min_precedes(X71,X69,X70) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_24,axiom,
% 0.12/0.67 ! [X72,X73,X74] :
% 0.12/0.67 ( min_precedes(X72,X73,X74)
% 0.12/0.67 => precedes(X72,X73) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_25,axiom,
% 0.12/0.67 ! [X75,X76,X77] :
% 0.12/0.67 ( next_subocc(X75,X76,X77)
% 0.12/0.67 => ( arboreal(X75)
% 0.12/0.67 & arboreal(X76) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_26,axiom,
% 0.12/0.67 ! [X78,X79,X80] :
% 0.12/0.67 ( next_subocc(X78,X79,X80)
% 0.12/0.67 <=> ( min_precedes(X78,X79,X80)
% 0.12/0.67 & ~ ? [X81] :
% 0.12/0.67 ( min_precedes(X78,X81,X80)
% 0.12/0.67 & min_precedes(X81,X79,X80) ) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_27,axiom,
% 0.12/0.67 ! [X82,X83,X84,X85] :
% 0.12/0.67 ( ( min_precedes(X82,X83,X84)
% 0.12/0.67 & occurrence_of(X85,X84)
% 0.12/0.67 & subactivity_occurrence(X83,X85) )
% 0.12/0.67 => subactivity_occurrence(X82,X85) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_28,axiom,
% 0.12/0.67 ! [X86,X87,X88,X89] :
% 0.12/0.67 ( ( occurrence_of(X88,X89)
% 0.12/0.67 & ~ atomic(X89)
% 0.12/0.67 & leaf_occ(X86,X88)
% 0.12/0.67 & leaf_occ(X87,X88) )
% 0.12/0.67 => X86 = X87 ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_29,axiom,
% 0.12/0.67 ! [X90,X91,X92,X93] :
% 0.12/0.67 ( ( occurrence_of(X92,X93)
% 0.12/0.67 & root_occ(X90,X92)
% 0.12/0.67 & root_occ(X91,X92) )
% 0.12/0.67 => X90 = X91 ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_30,axiom,
% 0.12/0.67 ! [X94,X95,X96] :
% 0.12/0.67 ( ( earlier(X94,X95)
% 0.12/0.67 & earlier(X95,X96) )
% 0.12/0.67 => earlier(X94,X96) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_31,axiom,
% 0.12/0.67 ! [X97,X98,X99,X100] :
% 0.12/0.67 ( ( min_precedes(X97,X98,X100)
% 0.12/0.67 & min_precedes(X97,X99,X100)
% 0.12/0.67 & precedes(X98,X99) )
% 0.12/0.67 => min_precedes(X98,X99,X100) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_32,axiom,
% 0.12/0.67 ! [X101] :
% 0.12/0.67 ( occurrence_of(X101,tptp0)
% 0.12/0.67 => ? [X102,X103,X104] :
% 0.12/0.67 ( occurrence_of(X102,tptp3)
% 0.12/0.67 & root_occ(X102,X101)
% 0.12/0.67 & occurrence_of(X103,tptp4)
% 0.12/0.67 & next_subocc(X102,X103,tptp0)
% 0.12/0.67 & ( occurrence_of(X104,tptp1)
% 0.12/0.67 | occurrence_of(X104,tptp2) )
% 0.12/0.67 & next_subocc(X103,X104,tptp0)
% 0.12/0.67 & leaf_occ(X104,X101) ) ) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_33,axiom,
% 0.12/0.67 activity(tptp0) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_34,axiom,
% 0.12/0.67 ~ atomic(tptp0) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_35,axiom,
% 0.12/0.67 atomic(tptp4) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_36,axiom,
% 0.12/0.67 atomic(tptp1) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_37,axiom,
% 0.12/0.67 atomic(tptp2) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_38,axiom,
% 0.12/0.67 atomic(tptp3) ).
% 0.12/0.67
% 0.12/0.67 fof(sos_39,axiom,
% 0.12/0.67 tptp4 != tptp3 ).
% 0.12/0.67
% 0.12/0.67 fof(sos_40,axiom,
% 0.12/0.67 tptp4 != tptp1 ).
% 0.12/0.67
% 0.12/0.67 fof(sos_41,axiom,
% 0.12/0.67 tptp4 != tptp2 ).
% 0.12/0.67
% 0.12/0.67 fof(sos_42,axiom,
% 0.12/0.67 tptp3 != tptp1 ).
% 0.12/0.67
% 0.12/0.67 fof(sos_43,axiom,
% 0.12/0.67 tptp3 != tptp2 ).
% 0.12/0.67
% 0.12/0.67 fof(sos_44,axiom,
% 0.12/0.67 tptp1 != tptp2 ).
% 0.12/0.67
% 0.12/0.67 fof(goals,conjecture,
% 0.12/0.67 ! [X105] :
% 0.12/0.67 ( occurrence_of(X105,tptp0)
% 0.12/0.67 => ? [X106,X107] :
% 0.12/0.67 ( leaf_occ(X107,X105)
% 0.12/0.67 & ( occurrence_of(X107,tptp1)
% 0.12/0.67 => ~ ? [X108] :
% 0.12/0.67 ( occurrence_of(X108,tptp2)
% 0.12/0.67 & subactivity_occurrence(X108,X105)
% 0.12/0.67 & min_precedes(X106,X108,tptp0) ) )
% 0.12/0.67 & ( occurrence_of(X107,tptp2)
% 0.12/0.67 => ~ ? [X109] :
% 0.12/0.67 ( occurrence_of(X109,tptp1)
% 0.12/0.67 & subactivity_occurrence(X109,X105)
% 0.12/0.67 & min_precedes(X106,X109,tptp0) ) ) ) ) ).
% 0.12/0.67
% 0.12/0.67 %------------------------------------------------------------------------------
% 0.12/0.67 %-------------------------------------------
% 0.12/0.67 % Proof found
% 0.12/0.67 % SZS status Theorem for theBenchmark
% 0.12/0.67 % SZS output start Proof
% 0.12/0.67 %ClaNum:163(EqnAxiom:67)
% 0.12/0.67 %VarNum:472(SingletonVarNum:195)
% 0.12/0.67 %MaxLitNum:8
% 0.12/0.67 %MaxfuncDepth:1
% 0.12/0.67 %SharedTerms:19
% 0.12/0.67 %goalClause: 73 101 120 121 122 123 131 132 133 134 138 139 145 146 147 148 151
% 0.12/0.67 %singleGoalClaCount:1
% 0.12/0.67 [68]P1(a1)
% 0.12/0.67 [69]P1(a23)
% 0.12/0.67 [70]P1(a2)
% 0.12/0.67 [71]P1(a22)
% 0.12/0.67 [72]P2(a3)
% 0.12/0.67 [73]P6(a4,a3)
% 0.12/0.67 [74]~E(a1,a23)
% 0.12/0.67 [75]~E(a1,a2)
% 0.12/0.67 [76]~E(a2,a23)
% 0.12/0.67 [77]~E(a1,a22)
% 0.12/0.67 [78]~E(a22,a23)
% 0.12/0.67 [79]~E(a22,a2)
% 0.12/0.67 [80]~P1(a3)
% 0.12/0.67 [81]~P7(x811)+P3(x811)
% 0.12/0.67 [82]~P4(x821)+P2(f11(x821))
% 0.12/0.67 [89]~P4(x891)+P6(x891,f11(x891))
% 0.12/0.67 [95]~P6(x951,a3)+P6(f5(x951),a1)
% 0.12/0.67 [96]~P6(x961,a3)+P6(f9(x961),a23)
% 0.12/0.67 [97]~P6(x971,a3)+P16(f5(x971),x971)
% 0.12/0.67 [98]~P6(x981,a3)+P8(f10(x981),x981)
% 0.12/0.67 [127]~P6(x1271,a3)+P11(f5(x1271),f9(x1271),a3)
% 0.12/0.67 [128]~P6(x1281,a3)+P11(f9(x1281),f10(x1281),a3)
% 0.12/0.67 [83]P2(x831)+~P6(x832,x831)
% 0.12/0.67 [84]P4(x841)+~P6(x841,x842)
% 0.12/0.67 [85]P4(x851)+~P13(x852,x851)
% 0.12/0.67 [86]P4(x861)+~P13(x861,x862)
% 0.12/0.67 [87]P7(x871)+~P14(x871,x872)
% 0.12/0.67 [88]P7(x881)+~P15(x882,x881)
% 0.12/0.67 [92]~P16(x921,x922)+P13(x921,x922)
% 0.12/0.67 [93]~P8(x931,x932)+P13(x931,x932)
% 0.12/0.67 [94]~P15(x941,x942)+P9(x941,x942)
% 0.12/0.67 [100]~P9(x1002,x1001)+~P9(x1001,x1002)
% 0.12/0.67 [103]~P5(x1031,x1032)+P1(f18(x1031,x1032))
% 0.12/0.67 [106]~P5(x1061,x1062)+P6(x1061,f18(x1061,x1062))
% 0.12/0.67 [107]~P8(x1072,x1071)+P6(x1071,f19(x1072,x1071))
% 0.12/0.67 [108]~P16(x1082,x1081)+P6(x1081,f6(x1082,x1081))
% 0.12/0.67 [109]~P16(x1091,x1092)+P14(x1091,f6(x1091,x1092))
% 0.12/0.67 [110]~P5(x1102,x1101)+P17(x1101,f18(x1102,x1101))
% 0.12/0.67 [111]~P14(x1111,x1112)+P5(x1111,f12(x1112,x1111))
% 0.12/0.67 [112]~P8(x1121,x1122)+P10(x1121,f19(x1121,x1122))
% 0.12/0.67 [113]~P14(x1132,x1131)+P17(f12(x1131,x1132),x1131)
% 0.12/0.67 [129]P3(x1291)+~P11(x1292,x1291,x1293)
% 0.12/0.67 [130]P3(x1301)+~P11(x1301,x1302,x1303)
% 0.12/0.67 [135]P15(x1351,x1352)+~P12(x1351,x1352,x1353)
% 0.12/0.67 [136]~P14(x1361,x1362)+~P12(x1363,x1361,x1362)
% 0.12/0.67 [137]~P10(x1371,x1372)+~P12(x1371,x1373,x1372)
% 0.12/0.67 [149]~P11(x1491,x1492,x1493)+P12(x1491,x1492,x1493)
% 0.12/0.67 [154]~P12(x1543,x1541,x1542)+P13(x1541,f17(x1542,x1543,x1541))
% 0.12/0.67 [155]~P12(x1551,x1553,x1552)+P13(x1551,f17(x1552,x1551,x1553))
% 0.12/0.67 [156]~P12(x1562,x1563,x1561)+P6(f17(x1561,x1562,x1563),x1561)
% 0.12/0.67 [157]~P12(x1571,x1572,x1573)+P14(f7(x1571,x1572,x1573),x1573)
% 0.12/0.67 [159]~P12(x1591,x1592,x1593)+P12(f7(x1591,x1592,x1593),x1592,x1593)
% 0.12/0.67 [101]P6(x1011,a22)+~P8(x1011,a4)+P6(x1011,a2)
% 0.12/0.67 [104]~P6(x1041,a3)+P6(f10(x1041),a2)+P6(f10(x1041),a22)
% 0.12/0.67 [90]~P6(x902,x901)+P1(x901)+~P3(x902)
% 0.12/0.67 [91]~P6(x911,x912)+P3(x911)+~P1(x912)
% 0.12/0.67 [99]~P7(x992)+~P9(x991,x992)+P15(x991,x992)
% 0.12/0.67 [115]~P10(x1152,x1151)+P1(x1151)+P8(x1152,f16(x1152,x1151))
% 0.12/0.67 [116]~P10(x1162,x1161)+P1(x1161)+P6(f16(x1162,x1161),x1161)
% 0.12/0.67 [117]~P6(x1172,x1171)+P1(x1171)+P14(f13(x1171,x1172),x1171)
% 0.12/0.67 [118]~P6(x1182,x1181)+P1(x1181)+P13(f13(x1181,x1182),x1182)
% 0.12/0.67 [120]~P8(x1201,a4)+P6(x1201,a2)+P6(f14(x1202,x1201),a2)
% 0.12/0.67 [121]~P8(x1211,a4)+P6(x1211,a2)+P13(f14(x1212,x1211),a4)
% 0.12/0.67 [122]~P8(x1221,a4)+P6(x1221,a22)+P6(f15(x1222,x1221),a22)
% 0.12/0.67 [123]~P8(x1231,a4)+P6(x1231,a22)+P13(f15(x1232,x1231),a4)
% 0.12/0.67 [131]~P8(x1312,a4)+P6(f14(x1311,x1312),a2)+P6(f15(x1311,x1312),a22)
% 0.12/0.67 [132]~P8(x1322,a4)+P13(f14(x1321,x1322),a4)+P6(f15(x1321,x1322),a22)
% 0.12/0.67 [133]~P8(x1332,a4)+P13(f15(x1331,x1332),a4)+P6(f14(x1331,x1332),a2)
% 0.12/0.67 [134]~P8(x1342,a4)+P13(f14(x1341,x1342),a4)+P13(f15(x1341,x1342),a4)
% 0.12/0.67 [138]~P8(x1381,a4)+P6(x1381,a2)+P12(x1382,f14(x1382,x1381),a3)
% 0.12/0.67 [139]~P8(x1391,a4)+P6(x1391,a22)+P12(x1392,f15(x1392,x1391),a3)
% 0.12/0.67 [140]~P14(x1401,x1402)+P10(x1401,x1402)+P12(x1401,f20(x1401,x1402),x1402)
% 0.12/0.67 [141]~P10(x1411,x1412)+P14(x1411,x1412)+P12(f21(x1411,x1412),x1411,x1412)
% 0.12/0.67 [145]~P8(x1452,a4)+P12(x1451,f14(x1451,x1452),a3)+P6(f15(x1451,x1452),a22)
% 0.12/0.67 [146]~P8(x1462,a4)+P12(x1461,f15(x1461,x1462),a3)+P6(f14(x1461,x1462),a2)
% 0.12/0.67 [147]~P8(x1472,a4)+P12(x1471,f14(x1471,x1472),a3)+P13(f15(x1471,x1472),a4)
% 0.12/0.67 [148]~P8(x1482,a4)+P12(x1481,f15(x1481,x1482),a3)+P13(f14(x1481,x1482),a4)
% 0.12/0.67 [151]~P8(x1512,a4)+P12(x1511,f14(x1511,x1512),a3)+P12(x1511,f15(x1511,x1512),a3)
% 0.12/0.67 [102]~P6(x1023,x1021)+E(x1021,x1022)+~P6(x1023,x1022)
% 0.12/0.67 [105]~P9(x1051,x1053)+P9(x1051,x1052)+~P9(x1053,x1052)
% 0.12/0.67 [152]P10(x1521,x1522)+~P12(x1523,x1521,x1522)+P12(x1521,f20(x1521,x1522),x1522)
% 0.12/0.67 [162]~P12(x1621,x1622,x1623)+P11(x1621,x1622,x1623)+P12(x1621,f8(x1621,x1622,x1623),x1623)
% 0.12/0.67 [163]~P12(x1631,x1632,x1633)+P11(x1631,x1632,x1633)+P12(f8(x1631,x1632,x1633),x1632,x1633)
% 0.12/0.67 [142]~P6(x1421,x1422)+~P12(x1424,x1423,x1422)+~P16(x1423,x1421)
% 0.12/0.67 [143]~P6(x1431,x1432)+~P12(x1433,x1434,x1432)+~P8(x1433,x1431)
% 0.12/0.67 [161]~P11(x1614,x1612,x1613)+~P12(x1611,x1612,x1613)+~P12(x1614,x1611,x1613)
% 0.12/0.67 [114]~P6(x1141,x1143)+~P17(x1142,x1143)+P5(x1141,x1142)+~P1(x1143)
% 0.12/0.67 [125]~P14(x1251,x1253)+~P13(x1251,x1252)+P16(x1251,x1252)+~P6(x1252,x1253)
% 0.12/0.67 [126]~P13(x1261,x1262)+~P10(x1261,x1263)+P8(x1261,x1262)+~P6(x1262,x1263)
% 0.12/0.67 [119]~P16(x1192,x1193)+~P16(x1191,x1193)+E(x1191,x1192)+~P6(x1193,x1194)
% 0.12/0.67 [150]~P12(x1501,x1504,x1503)+P13(x1501,x1502)+~P6(x1502,x1503)+~P13(x1504,x1502)
% 0.12/0.67 [160]~P15(x1601,x1602)+~P12(x1604,x1601,x1603)+P12(x1601,x1602,x1603)+~P12(x1604,x1602,x1603)
% 0.12/0.67 [124]~P8(x1242,x1244)+~P8(x1241,x1244)+E(x1241,x1242)+~P6(x1244,x1243)+P1(x1243)
% 0.12/0.67 [144]~P3(x1441)+~P13(x1441,x1444)+~P8(x1442,x1444)+E(x1441,x1442)+P12(x1441,x1442,x1443)+~P6(x1444,x1443)
% 0.12/0.67 [158]~P13(x1582,x1584)+~P8(x1581,x1584)+~P12(x1585,x1582,x1583)+E(x1581,x1582)+P12(x1582,x1581,x1583)+~P6(x1584,x1583)+~P16(x1585,x1584)
% 0.12/0.67 [153]P12(x1531,x1532,x1533)+~P3(x1532)+~P3(x1531)+~P13(x1532,x1534)+~P13(x1531,x1534)+E(x1531,x1532)+P12(x1532,x1531,x1533)+~P6(x1534,x1533)
% 0.12/0.67 %EqnAxiom
% 0.12/0.67 [1]E(x11,x11)
% 0.12/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.12/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.12/0.67 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.12/0.67 [5]~E(x51,x52)+E(f8(x51,x53,x54),f8(x52,x53,x54))
% 0.12/0.67 [6]~E(x61,x62)+E(f8(x63,x61,x64),f8(x63,x62,x64))
% 0.12/0.67 [7]~E(x71,x72)+E(f8(x73,x74,x71),f8(x73,x74,x72))
% 0.12/0.67 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.12/0.67 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 0.12/0.67 [10]~E(x101,x102)+E(f7(x101,x103,x104),f7(x102,x103,x104))
% 0.12/0.67 [11]~E(x111,x112)+E(f7(x113,x111,x114),f7(x113,x112,x114))
% 0.12/0.67 [12]~E(x121,x122)+E(f7(x123,x124,x121),f7(x123,x124,x122))
% 0.12/0.68 [13]~E(x131,x132)+E(f10(x131),f10(x132))
% 0.12/0.68 [14]~E(x141,x142)+E(f18(x141,x143),f18(x142,x143))
% 0.12/0.68 [15]~E(x151,x152)+E(f18(x153,x151),f18(x153,x152))
% 0.12/0.68 [16]~E(x161,x162)+E(f20(x161,x163),f20(x162,x163))
% 0.12/0.68 [17]~E(x171,x172)+E(f20(x173,x171),f20(x173,x172))
% 0.12/0.68 [18]~E(x181,x182)+E(f14(x181,x183),f14(x182,x183))
% 0.12/0.68 [19]~E(x191,x192)+E(f14(x193,x191),f14(x193,x192))
% 0.12/0.68 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203))
% 0.12/0.68 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212))
% 0.12/0.68 [22]~E(x221,x222)+E(f19(x221,x223),f19(x222,x223))
% 0.12/0.68 [23]~E(x231,x232)+E(f19(x233,x231),f19(x233,x232))
% 0.12/0.68 [24]~E(x241,x242)+E(f6(x241,x243),f6(x242,x243))
% 0.12/0.68 [25]~E(x251,x252)+E(f6(x253,x251),f6(x253,x252))
% 0.12/0.68 [26]~E(x261,x262)+E(f17(x261,x263,x264),f17(x262,x263,x264))
% 0.12/0.68 [27]~E(x271,x272)+E(f17(x273,x271,x274),f17(x273,x272,x274))
% 0.12/0.68 [28]~E(x281,x282)+E(f17(x283,x284,x281),f17(x283,x284,x282))
% 0.12/0.68 [29]~E(x291,x292)+E(f21(x291,x293),f21(x292,x293))
% 0.12/0.68 [30]~E(x301,x302)+E(f21(x303,x301),f21(x303,x302))
% 0.12/0.68 [31]~E(x311,x312)+E(f12(x311,x313),f12(x312,x313))
% 0.12/0.68 [32]~E(x321,x322)+E(f12(x323,x321),f12(x323,x322))
% 0.12/0.68 [33]~E(x331,x332)+E(f13(x331,x333),f13(x332,x333))
% 0.12/0.68 [34]~E(x341,x342)+E(f13(x343,x341),f13(x343,x342))
% 0.12/0.68 [35]~E(x351,x352)+E(f16(x351,x353),f16(x352,x353))
% 0.12/0.68 [36]~E(x361,x362)+E(f16(x363,x361),f16(x363,x362))
% 0.12/0.68 [37]~P1(x371)+P1(x372)+~E(x371,x372)
% 0.12/0.68 [38]P12(x382,x383,x384)+~E(x381,x382)+~P12(x381,x383,x384)
% 0.12/0.68 [39]P12(x393,x392,x394)+~E(x391,x392)+~P12(x393,x391,x394)
% 0.12/0.68 [40]P12(x403,x404,x402)+~E(x401,x402)+~P12(x403,x404,x401)
% 0.12/0.68 [41]P8(x412,x413)+~E(x411,x412)+~P8(x411,x413)
% 0.12/0.68 [42]P8(x423,x422)+~E(x421,x422)+~P8(x423,x421)
% 0.12/0.68 [43]P11(x432,x433,x434)+~E(x431,x432)+~P11(x431,x433,x434)
% 0.12/0.68 [44]P11(x443,x442,x444)+~E(x441,x442)+~P11(x443,x441,x444)
% 0.12/0.68 [45]P11(x453,x454,x452)+~E(x451,x452)+~P11(x453,x454,x451)
% 0.12/0.68 [46]~P2(x461)+P2(x462)+~E(x461,x462)
% 0.12/0.68 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 0.12/0.68 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 0.12/0.68 [49]P16(x492,x493)+~E(x491,x492)+~P16(x491,x493)
% 0.12/0.68 [50]P16(x503,x502)+~E(x501,x502)+~P16(x503,x501)
% 0.12/0.68 [51]~P3(x511)+P3(x512)+~E(x511,x512)
% 0.12/0.68 [52]~P7(x521)+P7(x522)+~E(x521,x522)
% 0.12/0.68 [53]P10(x532,x533)+~E(x531,x532)+~P10(x531,x533)
% 0.12/0.68 [54]P10(x543,x542)+~E(x541,x542)+~P10(x543,x541)
% 0.12/0.68 [55]~P4(x551)+P4(x552)+~E(x551,x552)
% 0.12/0.68 [56]P13(x562,x563)+~E(x561,x562)+~P13(x561,x563)
% 0.12/0.68 [57]P13(x573,x572)+~E(x571,x572)+~P13(x573,x571)
% 0.12/0.68 [58]P14(x582,x583)+~E(x581,x582)+~P14(x581,x583)
% 0.12/0.68 [59]P14(x593,x592)+~E(x591,x592)+~P14(x593,x591)
% 0.12/0.68 [60]P9(x602,x603)+~E(x601,x602)+~P9(x601,x603)
% 0.12/0.68 [61]P9(x613,x612)+~E(x611,x612)+~P9(x613,x611)
% 0.12/0.68 [62]P15(x622,x623)+~E(x621,x622)+~P15(x621,x623)
% 0.12/0.68 [63]P15(x633,x632)+~E(x631,x632)+~P15(x633,x631)
% 0.12/0.68 [64]P5(x642,x643)+~E(x641,x642)+~P5(x641,x643)
% 0.12/0.68 [65]P5(x653,x652)+~E(x651,x652)+~P5(x653,x651)
% 0.12/0.68 [66]P17(x662,x663)+~E(x661,x662)+~P17(x661,x663)
% 0.12/0.68 [67]P17(x673,x672)+~E(x671,x672)+~P17(x673,x671)
% 0.12/0.68
% 0.12/0.68 %-------------------------------------------
% 0.12/0.68 cnf(194,plain,
% 0.12/0.68 (~P12(f10(a4),x1941,a3)),
% 0.12/0.68 inference(scs_inference,[],[73,68,74,80,90,2,84,98,97,96,95,89,82,128,127,112,109,108,107,55,37,143])).
% 0.12/0.68 cnf(206,plain,
% 0.12/0.68 (P12(f10(a4),f15(f10(a4),f10(a4)),a3)),
% 0.12/0.68 inference(scs_inference,[],[73,68,74,80,90,2,84,98,97,96,95,89,82,128,127,112,109,108,107,55,37,143,142,102,91,118,117,151])).
% 0.12/0.68 cnf(261,plain,
% 0.12/0.68 ($false),
% 0.12/0.68 inference(scs_inference,[],[194,206]),
% 0.12/0.68 ['proof']).
% 0.12/0.68 % SZS output end Proof
% 0.12/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------