TSTP Solution File: PRO012+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO012+2 : 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 : n010.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 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO012+2 : 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
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:21:04 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % File :CSE---1.6
% 0.20/0.70 % Problem :theBenchmark
% 0.20/0.70 % Transform :cnf
% 0.20/0.70 % Format :tptp:raw
% 0.20/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.70
% 0.20/0.70 % Result :Theorem 0.070000s
% 0.20/0.70 % Output :CNFRefutation 0.070000s
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 %------------------------------------------------------------------------------
% 0.20/0.70 % File : PRO012+2 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.70 % Domain : Processes
% 0.20/0.70 % Problem : PSL cliff problem coe-7.1.4-no-leaf
% 0.20/0.70 % Version : Especial : Reduced > Especial.
% 0.20/0.70 % English :
% 0.20/0.70 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 0.20/0.70 % Source : [Hal09]
% 0.20/0.70 % Names : minimal-subset-p9__coe-7.1.4-no-leaf-pd [Hal09]
% 0.20/0.70
% 0.20/0.70 % Status : Theorem
% 0.20/0.70 % Rating : 0.14 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.22 v4.0.0
% 0.20/0.70 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 0.20/0.70 % Number of atoms : 138 ( 12 equ)
% 0.20/0.70 % Maximal formula atoms : 11 ( 3 avg)
% 0.20/0.70 % Number of connectives : 109 ( 17 ~; 6 |; 50 &)
% 0.20/0.70 % ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% 0.20/0.70 % Maximal formula depth : 15 ( 5 avg)
% 0.20/0.70 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.70 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 0.20/0.70 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.20/0.70 % Number of variables : 103 ( 82 !; 21 ?)
% 0.20/0.70 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.70
% 0.20/0.70 % Comments :
% 0.20/0.70 %------------------------------------------------------------------------------
% 0.20/0.70 fof(sos,axiom,
% 0.20/0.70 ! [X0,X1,X2,X3] :
% 0.20/0.70 ( ( min_precedes(X0,X1,X3)
% 0.20/0.71 & min_precedes(X1,X2,X3) )
% 0.20/0.71 => min_precedes(X0,X2,X3) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_01,axiom,
% 0.20/0.71 ! [X4,X5,X6] :
% 0.20/0.71 ( ( earlier(X4,X5)
% 0.20/0.71 & earlier(X5,X6) )
% 0.20/0.71 => earlier(X4,X6) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_02,axiom,
% 0.20/0.71 ! [X7,X8,X9,X10] :
% 0.20/0.71 ( ( occurrence_of(X9,X10)
% 0.20/0.71 & root_occ(X7,X9)
% 0.20/0.71 & root_occ(X8,X9) )
% 0.20/0.71 => X7 = X8 ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_03,axiom,
% 0.20/0.71 ! [X11,X12,X13,X14] :
% 0.20/0.71 ( ( occurrence_of(X13,X14)
% 0.20/0.71 & ~ atomic(X14)
% 0.20/0.71 & leaf_occ(X11,X13)
% 0.20/0.71 & leaf_occ(X12,X13) )
% 0.20/0.71 => X11 = X12 ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_04,axiom,
% 0.20/0.71 ! [X15,X16,X17] :
% 0.20/0.71 ( next_subocc(X15,X16,X17)
% 0.20/0.71 <=> ( min_precedes(X15,X16,X17)
% 0.20/0.71 & ~ ? [X18] :
% 0.20/0.71 ( min_precedes(X15,X18,X17)
% 0.20/0.71 & min_precedes(X18,X16,X17) ) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_05,axiom,
% 0.20/0.71 ! [X19,X20,X21] :
% 0.20/0.71 ( next_subocc(X19,X20,X21)
% 0.20/0.71 => ( arboreal(X19)
% 0.20/0.71 & arboreal(X20) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_06,axiom,
% 0.20/0.71 ! [X22,X23,X24] :
% 0.20/0.71 ( min_precedes(X22,X23,X24)
% 0.20/0.71 => precedes(X22,X23) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_07,axiom,
% 0.20/0.71 ! [X25,X26,X27] :
% 0.20/0.71 ( min_precedes(X25,X26,X27)
% 0.20/0.71 => ~ root(X26,X27) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_08,axiom,
% 0.20/0.71 ! [X28,X29] :
% 0.20/0.71 ( precedes(X28,X29)
% 0.20/0.71 <=> ( earlier(X28,X29)
% 0.20/0.71 & legal(X29) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_09,axiom,
% 0.20/0.71 ! [X30,X31] :
% 0.20/0.71 ( earlier(X30,X31)
% 0.20/0.71 => ~ earlier(X31,X30) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_10,axiom,
% 0.20/0.71 ! [X32,X33] :
% 0.20/0.71 ( root_occ(X32,X33)
% 0.20/0.71 <=> ? [X34] :
% 0.20/0.71 ( occurrence_of(X33,X34)
% 0.20/0.71 & subactivity_occurrence(X32,X33)
% 0.20/0.71 & root(X32,X34) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_11,axiom,
% 0.20/0.71 ! [X35,X36] :
% 0.20/0.71 ( leaf_occ(X35,X36)
% 0.20/0.71 <=> ? [X37] :
% 0.20/0.71 ( occurrence_of(X36,X37)
% 0.20/0.71 & subactivity_occurrence(X35,X36)
% 0.20/0.71 & leaf(X35,X37) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_12,axiom,
% 0.20/0.71 ! [X38,X39] :
% 0.20/0.71 ( root(X38,X39)
% 0.20/0.71 => legal(X38) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_13,axiom,
% 0.20/0.71 ! [X40,X41] :
% 0.20/0.71 ( occurrence_of(X40,X41)
% 0.20/0.71 => ( arboreal(X40)
% 0.20/0.71 <=> atomic(X41) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_14,axiom,
% 0.20/0.71 ! [X42,X43] :
% 0.20/0.71 ( leaf(X42,X43)
% 0.20/0.71 <=> ( ( root(X42,X43)
% 0.20/0.71 | ? [X44] : min_precedes(X44,X42,X43) )
% 0.20/0.71 & ~ ? [X45] : min_precedes(X42,X45,X43) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_15,axiom,
% 0.20/0.71 ! [X46,X47] :
% 0.20/0.71 ( atocc(X46,X47)
% 0.20/0.71 <=> ? [X48] :
% 0.20/0.71 ( subactivity(X47,X48)
% 0.20/0.71 & atomic(X48)
% 0.20/0.71 & occurrence_of(X46,X48) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_16,axiom,
% 0.20/0.71 ! [X49,X50] :
% 0.20/0.71 ( ( atocc(X49,X50)
% 0.20/0.71 & legal(X49) )
% 0.20/0.71 => root(X49,X50) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_17,axiom,
% 0.20/0.71 ! [X51] :
% 0.20/0.71 ( legal(X51)
% 0.20/0.71 => arboreal(X51) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_18,axiom,
% 0.20/0.71 ! [X52] :
% 0.20/0.71 ( activity_occurrence(X52)
% 0.20/0.71 => ? [X53] :
% 0.20/0.71 ( activity(X53)
% 0.20/0.71 & occurrence_of(X52,X53) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_19,axiom,
% 0.20/0.71 ! [X54,X55] :
% 0.20/0.71 ( subactivity_occurrence(X54,X55)
% 0.20/0.71 => ( activity_occurrence(X54)
% 0.20/0.71 & activity_occurrence(X55) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_20,axiom,
% 0.20/0.71 ! [X56,X57,X58] :
% 0.20/0.71 ( ( occurrence_of(X56,X58)
% 0.20/0.71 & root_occ(X57,X56) )
% 0.20/0.71 => ~ ? [X59] : min_precedes(X59,X57,X58) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_21,axiom,
% 0.20/0.71 ! [X60,X61,X62] :
% 0.20/0.71 ( ( occurrence_of(X60,X62)
% 0.20/0.71 & leaf_occ(X61,X60) )
% 0.20/0.71 => ~ ? [X63] : min_precedes(X61,X63,X62) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_22,axiom,
% 0.20/0.71 ! [X64,X65,X66] :
% 0.20/0.71 ( ( occurrence_of(X64,X65)
% 0.20/0.71 & occurrence_of(X64,X66) )
% 0.20/0.71 => X65 = X66 ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_23,axiom,
% 0.20/0.71 ! [X67,X68] :
% 0.20/0.71 ( ( leaf(X67,X68)
% 0.20/0.71 & ~ atomic(X68) )
% 0.20/0.71 => ? [X69] :
% 0.20/0.71 ( occurrence_of(X69,X68)
% 0.20/0.71 & leaf_occ(X67,X69) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_24,axiom,
% 0.20/0.71 ! [X70,X71,X72] :
% 0.20/0.71 ( min_precedes(X71,X72,X70)
% 0.20/0.71 => ? [X73] :
% 0.20/0.71 ( occurrence_of(X73,X70)
% 0.20/0.71 & subactivity_occurrence(X71,X73)
% 0.20/0.71 & subactivity_occurrence(X72,X73) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_25,axiom,
% 0.20/0.71 ! [X74,X75] :
% 0.20/0.71 ( ( leaf(X74,X75)
% 0.20/0.71 & ~ atomic(X75) )
% 0.20/0.71 => ? [X76] :
% 0.20/0.71 ( occurrence_of(X76,X75)
% 0.20/0.71 & leaf_occ(X74,X76) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_26,axiom,
% 0.20/0.71 ! [X77,X78,X79] :
% 0.20/0.71 ( min_precedes(X78,X79,X77)
% 0.20/0.71 => ? [X80,X81] :
% 0.20/0.71 ( subactivity(X80,X77)
% 0.20/0.71 & subactivity(X81,X77)
% 0.20/0.71 & atocc(X78,X80)
% 0.20/0.71 & atocc(X79,X81) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_27,axiom,
% 0.20/0.71 ! [X82,X83] :
% 0.20/0.71 ( root(X83,X82)
% 0.20/0.71 => ? [X84] :
% 0.20/0.71 ( subactivity(X84,X82)
% 0.20/0.71 & atocc(X83,X84) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_28,axiom,
% 0.20/0.71 ! [X85,X86,X87,X88] :
% 0.20/0.71 ( ( occurrence_of(X86,X85)
% 0.20/0.71 & arboreal(X87)
% 0.20/0.71 & arboreal(X88)
% 0.20/0.71 & subactivity_occurrence(X87,X86)
% 0.20/0.71 & subactivity_occurrence(X88,X86) )
% 0.20/0.71 => ( min_precedes(X87,X88,X85)
% 0.20/0.71 | min_precedes(X88,X87,X85)
% 0.20/0.71 | X87 = X88 ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_29,axiom,
% 0.20/0.71 ! [X89,X90] :
% 0.20/0.71 ( occurrence_of(X90,X89)
% 0.20/0.71 => ( activity(X89)
% 0.20/0.71 & activity_occurrence(X90) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_30,axiom,
% 0.20/0.71 ! [X91,X92] :
% 0.20/0.71 ( ( occurrence_of(X92,X91)
% 0.20/0.71 & ~ atomic(X91) )
% 0.20/0.71 => ? [X93] :
% 0.20/0.71 ( root(X93,X91)
% 0.20/0.71 & subactivity_occurrence(X93,X92) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_31,axiom,
% 0.20/0.71 ! [X94] :
% 0.20/0.71 ( activity(X94)
% 0.20/0.71 => subactivity(X94,X94) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_32,axiom,
% 0.20/0.71 ! [X95] :
% 0.20/0.71 ( occurrence_of(X95,tptp0)
% 0.20/0.71 => ? [X96,X97,X98] :
% 0.20/0.71 ( occurrence_of(X96,tptp3)
% 0.20/0.71 & root_occ(X96,X95)
% 0.20/0.71 & occurrence_of(X97,tptp4)
% 0.20/0.71 & min_precedes(X96,X97,tptp0)
% 0.20/0.71 & ( occurrence_of(X98,tptp2)
% 0.20/0.71 | occurrence_of(X98,tptp1) )
% 0.20/0.71 & min_precedes(X97,X98,tptp0)
% 0.20/0.71 & ! [X99] :
% 0.20/0.71 ( min_precedes(X96,X99,tptp0)
% 0.20/0.71 => ( X99 = X97
% 0.20/0.71 | X99 = X98 ) ) ) ) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_33,axiom,
% 0.20/0.71 activity(tptp0) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_34,axiom,
% 0.20/0.71 ~ atomic(tptp0) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_35,axiom,
% 0.20/0.71 atomic(tptp4) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_36,axiom,
% 0.20/0.71 atomic(tptp2) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_37,axiom,
% 0.20/0.71 atomic(tptp1) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_38,axiom,
% 0.20/0.71 atomic(tptp3) ).
% 0.20/0.71
% 0.20/0.71 fof(sos_39,axiom,
% 0.20/0.71 tptp4 != tptp3 ).
% 0.20/0.71
% 0.20/0.71 fof(sos_40,axiom,
% 0.20/0.71 tptp4 != tptp2 ).
% 0.20/0.71
% 0.20/0.71 fof(sos_41,axiom,
% 0.20/0.71 tptp4 != tptp1 ).
% 0.20/0.71
% 0.20/0.71 fof(sos_42,axiom,
% 0.20/0.71 tptp3 != tptp2 ).
% 0.20/0.72
% 0.20/0.72 fof(sos_43,axiom,
% 0.20/0.72 tptp3 != tptp1 ).
% 0.20/0.72
% 0.20/0.72 fof(sos_44,axiom,
% 0.20/0.72 tptp2 != tptp1 ).
% 0.20/0.72
% 0.20/0.72 fof(goals,conjecture,
% 0.20/0.72 ! [X100] :
% 0.20/0.72 ( occurrence_of(X100,tptp0)
% 0.20/0.72 => ? [X101,X102] :
% 0.20/0.72 ( occurrence_of(X101,tptp3)
% 0.20/0.72 & root_occ(X101,X100)
% 0.20/0.72 & ( occurrence_of(X102,tptp2)
% 0.20/0.72 | occurrence_of(X102,tptp1) )
% 0.20/0.72 & min_precedes(X101,X102,tptp0) ) ) ).
% 0.20/0.72
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark
% 0.20/0.72 % SZS output start Proof
% 0.20/0.72 %ClaNum:153(EqnAxiom:68)
% 0.20/0.72 %VarNum:400(SingletonVarNum:169)
% 0.20/0.72 %MaxLitNum:8
% 0.20/0.72 %MaxfuncDepth:1
% 0.20/0.72 %SharedTerms:19
% 0.20/0.72 %goalClause: 74 139 140
% 0.20/0.72 %singleGoalClaCount:1
% 0.20/0.72 [69]P1(a1)
% 0.20/0.72 [70]P1(a23)
% 0.20/0.72 [71]P1(a2)
% 0.20/0.72 [72]P1(a3)
% 0.20/0.72 [73]P2(a4)
% 0.20/0.72 [74]P6(a5,a4)
% 0.20/0.72 [75]~E(a1,a23)
% 0.20/0.72 [76]~E(a1,a2)
% 0.20/0.72 [77]~E(a2,a23)
% 0.20/0.72 [78]~E(a1,a3)
% 0.20/0.72 [79]~E(a3,a23)
% 0.20/0.72 [80]~E(a3,a2)
% 0.20/0.72 [81]~P1(a4)
% 0.20/0.72 [82]~P7(x821)+P3(x821)
% 0.20/0.72 [84]~P2(x841)+P13(x841,x841)
% 0.20/0.72 [83]~P4(x831)+P2(f14(x831))
% 0.20/0.72 [91]~P4(x911)+P6(x911,f14(x911))
% 0.20/0.72 [97]~P6(x971,a4)+P6(f6(x971),a1)
% 0.20/0.72 [98]~P6(x981,a4)+P6(f12(x981),a23)
% 0.20/0.72 [99]~P6(x991,a4)+P16(f6(x991),x991)
% 0.20/0.72 [126]~P6(x1261,a4)+P11(f6(x1261),f12(x1261),a4)
% 0.20/0.72 [127]~P6(x1271,a4)+P11(f12(x1271),f13(x1271),a4)
% 0.20/0.72 [85]P7(x851)+~P14(x852,x851)
% 0.20/0.72 [86]P7(x861)+~P15(x861,x862)
% 0.20/0.72 [87]P4(x871)+~P6(x871,x872)
% 0.20/0.72 [88]P4(x881)+~P17(x882,x881)
% 0.20/0.72 [89]P4(x891)+~P17(x891,x892)
% 0.20/0.72 [90]P2(x901)+~P6(x902,x901)
% 0.20/0.72 [94]~P14(x941,x942)+P8(x941,x942)
% 0.20/0.72 [95]~P16(x951,x952)+P17(x951,x952)
% 0.20/0.72 [96]~P9(x961,x962)+P17(x961,x962)
% 0.20/0.72 [102]~P8(x1022,x1021)+~P8(x1021,x1022)
% 0.20/0.72 [104]~P5(x1041,x1042)+P1(f15(x1041,x1042))
% 0.20/0.72 [107]~P16(x1072,x1071)+P6(x1071,f16(x1072,x1071))
% 0.20/0.72 [108]~P9(x1082,x1081)+P6(x1081,f18(x1082,x1081))
% 0.20/0.72 [109]~P5(x1091,x1092)+P6(x1091,f15(x1091,x1092))
% 0.20/0.72 [110]~P16(x1101,x1102)+P15(x1101,f16(x1101,x1102))
% 0.20/0.72 [111]~P9(x1111,x1112)+P10(x1111,f18(x1111,x1112))
% 0.20/0.72 [112]~P15(x1121,x1122)+P5(x1121,f7(x1122,x1121))
% 0.20/0.72 [113]~P5(x1132,x1131)+P13(x1131,f15(x1132,x1131))
% 0.20/0.72 [114]~P15(x1142,x1141)+P13(f7(x1141,x1142),x1141)
% 0.20/0.72 [128]P3(x1281)+~P12(x1282,x1281,x1283)
% 0.20/0.72 [129]P3(x1291)+~P12(x1291,x1292,x1293)
% 0.20/0.72 [130]P14(x1301,x1302)+~P11(x1301,x1302,x1303)
% 0.20/0.72 [131]~P15(x1311,x1312)+~P11(x1313,x1311,x1312)
% 0.20/0.72 [132]~P10(x1321,x1322)+~P11(x1321,x1323,x1322)
% 0.20/0.72 [138]~P12(x1381,x1382,x1383)+P11(x1381,x1382,x1383)
% 0.20/0.72 [143]~P11(x1433,x1431,x1432)+P17(x1431,f22(x1432,x1433,x1431))
% 0.20/0.72 [144]~P11(x1441,x1443,x1442)+P17(x1441,f22(x1442,x1441,x1443))
% 0.20/0.72 [145]~P11(x1451,x1453,x1452)+P5(x1451,f9(x1452,x1451,x1453))
% 0.20/0.72 [146]~P11(x1463,x1461,x1462)+P5(x1461,f10(x1462,x1463,x1461))
% 0.20/0.72 [147]~P11(x1472,x1473,x1471)+P6(f22(x1471,x1472,x1473),x1471)
% 0.20/0.72 [148]~P11(x1482,x1483,x1481)+P13(f9(x1481,x1482,x1483),x1481)
% 0.20/0.72 [149]~P11(x1492,x1493,x1491)+P13(f10(x1491,x1492,x1493),x1491)
% 0.20/0.72 [105]~P6(x1051,a4)+P6(f13(x1051),a2)+P6(f13(x1051),a3)
% 0.20/0.72 [92]~P6(x922,x921)+P1(x921)+~P3(x922)
% 0.20/0.72 [93]~P6(x931,x932)+P3(x931)+~P1(x932)
% 0.20/0.72 [100]~P7(x1002)+~P8(x1001,x1002)+P14(x1001,x1002)
% 0.20/0.72 [101]~P7(x1011)+~P5(x1011,x1012)+P15(x1011,x1012)
% 0.20/0.72 [116]~P10(x1162,x1161)+P1(x1161)+P9(x1162,f21(x1162,x1161))
% 0.20/0.72 [117]~P10(x1172,x1171)+P1(x1171)+P9(x1172,f8(x1172,x1171))
% 0.20/0.72 [118]~P10(x1182,x1181)+P1(x1181)+P6(f21(x1182,x1181),x1181)
% 0.20/0.72 [119]~P10(x1192,x1191)+P1(x1191)+P6(f8(x1192,x1191),x1191)
% 0.20/0.72 [120]~P6(x1202,x1201)+P1(x1201)+P15(f11(x1201,x1202),x1201)
% 0.20/0.72 [121]~P6(x1212,x1211)+P1(x1211)+P17(f11(x1211,x1212),x1212)
% 0.20/0.72 [133]~P15(x1331,x1332)+P10(x1331,x1332)+P11(x1331,f19(x1331,x1332),x1332)
% 0.20/0.72 [134]~P10(x1341,x1342)+P15(x1341,x1342)+P11(f20(x1341,x1342),x1341,x1342)
% 0.20/0.72 [103]~P6(x1033,x1031)+E(x1031,x1032)+~P6(x1033,x1032)
% 0.20/0.72 [106]~P8(x1061,x1063)+P8(x1061,x1062)+~P8(x1063,x1062)
% 0.20/0.72 [141]P10(x1411,x1412)+~P11(x1413,x1411,x1412)+P11(x1411,f19(x1411,x1412),x1412)
% 0.20/0.72 [152]~P11(x1521,x1522,x1523)+P12(x1521,x1522,x1523)+P11(x1521,f17(x1521,x1522,x1523),x1523)
% 0.20/0.72 [153]~P11(x1531,x1532,x1533)+P12(x1531,x1532,x1533)+P11(f17(x1531,x1532,x1533),x1532,x1533)
% 0.20/0.72 [136]~P6(x1361,x1362)+~P11(x1364,x1363,x1362)+~P16(x1363,x1361)
% 0.20/0.72 [137]~P6(x1371,x1372)+~P11(x1373,x1374,x1372)+~P9(x1373,x1371)
% 0.20/0.72 [150]~P11(x1501,x1504,x1503)+P11(x1501,x1502,x1503)+~P11(x1504,x1502,x1503)
% 0.20/0.72 [151]~P12(x1514,x1512,x1513)+~P11(x1511,x1512,x1513)+~P11(x1514,x1511,x1513)
% 0.20/0.72 [139]~P11(x1391,x1392,a4)+~P16(x1391,a5)+~P6(x1391,a1)+~P6(x1392,a2)
% 0.20/0.72 [140]~P11(x1401,x1402,a4)+~P16(x1401,a5)+~P6(x1401,a1)+~P6(x1402,a3)
% 0.20/0.72 [135]E(x1351,f13(x1352))+~P6(x1352,a4)+E(x1351,f12(x1352))+~P11(f6(x1352),x1351,a4)
% 0.20/0.72 [115]~P6(x1151,x1153)+~P13(x1152,x1153)+P5(x1151,x1152)+~P1(x1153)
% 0.20/0.72 [124]~P15(x1241,x1243)+~P17(x1241,x1242)+P16(x1241,x1242)+~P6(x1242,x1243)
% 0.20/0.72 [125]~P17(x1251,x1252)+~P10(x1251,x1253)+P9(x1251,x1252)+~P6(x1252,x1253)
% 0.20/0.72 [122]~P16(x1222,x1223)+~P16(x1221,x1223)+E(x1221,x1222)+~P6(x1223,x1224)
% 0.20/0.72 [123]~P9(x1232,x1234)+~P9(x1231,x1234)+E(x1231,x1232)+~P6(x1234,x1233)+P1(x1233)
% 0.20/0.72 [142]P11(x1421,x1422,x1423)+~P3(x1422)+~P3(x1421)+~P17(x1422,x1424)+~P17(x1421,x1424)+E(x1421,x1422)+P11(x1422,x1421,x1423)+~P6(x1424,x1423)
% 0.20/0.72 %EqnAxiom
% 0.20/0.72 [1]E(x11,x11)
% 0.20/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.72 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 0.20/0.72 [5]~E(x51,x52)+E(f17(x51,x53,x54),f17(x52,x53,x54))
% 0.20/0.72 [6]~E(x61,x62)+E(f17(x63,x61,x64),f17(x63,x62,x64))
% 0.20/0.72 [7]~E(x71,x72)+E(f17(x73,x74,x71),f17(x73,x74,x72))
% 0.20/0.72 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.20/0.72 [9]~E(x91,x92)+E(f12(x91),f12(x92))
% 0.20/0.72 [10]~E(x101,x102)+E(f10(x101,x103,x104),f10(x102,x103,x104))
% 0.20/0.72 [11]~E(x111,x112)+E(f10(x113,x111,x114),f10(x113,x112,x114))
% 0.20/0.72 [12]~E(x121,x122)+E(f10(x123,x124,x121),f10(x123,x124,x122))
% 0.20/0.72 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.20/0.72 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.20/0.72 [15]~E(x151,x152)+E(f13(x151),f13(x152))
% 0.20/0.72 [16]~E(x161,x162)+E(f22(x161,x163,x164),f22(x162,x163,x164))
% 0.20/0.72 [17]~E(x171,x172)+E(f22(x173,x171,x174),f22(x173,x172,x174))
% 0.20/0.72 [18]~E(x181,x182)+E(f22(x183,x184,x181),f22(x183,x184,x182))
% 0.20/0.72 [19]~E(x191,x192)+E(f16(x191,x193),f16(x192,x193))
% 0.20/0.72 [20]~E(x201,x202)+E(f16(x203,x201),f16(x203,x202))
% 0.20/0.72 [21]~E(x211,x212)+E(f18(x211,x213),f18(x212,x213))
% 0.20/0.72 [22]~E(x221,x222)+E(f18(x223,x221),f18(x223,x222))
% 0.20/0.72 [23]~E(x231,x232)+E(f19(x231,x233),f19(x232,x233))
% 0.20/0.72 [24]~E(x241,x242)+E(f19(x243,x241),f19(x243,x242))
% 0.20/0.72 [25]~E(x251,x252)+E(f9(x251,x253,x254),f9(x252,x253,x254))
% 0.20/0.72 [26]~E(x261,x262)+E(f9(x263,x261,x264),f9(x263,x262,x264))
% 0.20/0.72 [27]~E(x271,x272)+E(f9(x273,x274,x271),f9(x273,x274,x272))
% 0.20/0.72 [28]~E(x281,x282)+E(f20(x281,x283),f20(x282,x283))
% 0.20/0.72 [29]~E(x291,x292)+E(f20(x293,x291),f20(x293,x292))
% 0.20/0.72 [30]~E(x301,x302)+E(f7(x301,x303),f7(x302,x303))
% 0.20/0.72 [31]~E(x311,x312)+E(f7(x313,x311),f7(x313,x312))
% 0.20/0.72 [32]~E(x321,x322)+E(f11(x321,x323),f11(x322,x323))
% 0.20/0.72 [33]~E(x331,x332)+E(f11(x333,x331),f11(x333,x332))
% 0.20/0.72 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 0.20/0.72 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 0.20/0.72 [36]~E(x361,x362)+E(f21(x361,x363),f21(x362,x363))
% 0.20/0.72 [37]~E(x371,x372)+E(f21(x373,x371),f21(x373,x372))
% 0.20/0.72 [38]~P1(x381)+P1(x382)+~E(x381,x382)
% 0.20/0.72 [39]P11(x392,x393,x394)+~E(x391,x392)+~P11(x391,x393,x394)
% 0.20/0.72 [40]P11(x403,x402,x404)+~E(x401,x402)+~P11(x403,x401,x404)
% 0.20/0.72 [41]P11(x413,x414,x412)+~E(x411,x412)+~P11(x413,x414,x411)
% 0.20/0.72 [42]P13(x422,x423)+~E(x421,x422)+~P13(x421,x423)
% 0.20/0.72 [43]P13(x433,x432)+~E(x431,x432)+~P13(x433,x431)
% 0.20/0.72 [44]P12(x442,x443,x444)+~E(x441,x442)+~P12(x441,x443,x444)
% 0.20/0.72 [45]P12(x453,x452,x454)+~E(x451,x452)+~P12(x453,x451,x454)
% 0.20/0.72 [46]P12(x463,x464,x462)+~E(x461,x462)+~P12(x463,x464,x461)
% 0.20/0.72 [47]~P2(x471)+P2(x472)+~E(x471,x472)
% 0.20/0.72 [48]P6(x482,x483)+~E(x481,x482)+~P6(x481,x483)
% 0.20/0.72 [49]P6(x493,x492)+~E(x491,x492)+~P6(x493,x491)
% 0.20/0.72 [50]P10(x502,x503)+~E(x501,x502)+~P10(x501,x503)
% 0.20/0.72 [51]P10(x513,x512)+~E(x511,x512)+~P10(x513,x511)
% 0.20/0.72 [52]~P3(x521)+P3(x522)+~E(x521,x522)
% 0.20/0.72 [53]~P7(x531)+P7(x532)+~E(x531,x532)
% 0.20/0.72 [54]P15(x542,x543)+~E(x541,x542)+~P15(x541,x543)
% 0.20/0.72 [55]P15(x553,x552)+~E(x551,x552)+~P15(x553,x551)
% 0.20/0.72 [56]~P4(x561)+P4(x562)+~E(x561,x562)
% 0.20/0.72 [57]P9(x572,x573)+~E(x571,x572)+~P9(x571,x573)
% 0.20/0.72 [58]P9(x583,x582)+~E(x581,x582)+~P9(x583,x581)
% 0.20/0.72 [59]P16(x592,x593)+~E(x591,x592)+~P16(x591,x593)
% 0.20/0.72 [60]P16(x603,x602)+~E(x601,x602)+~P16(x603,x601)
% 0.20/0.72 [61]P5(x612,x613)+~E(x611,x612)+~P5(x611,x613)
% 0.20/0.72 [62]P5(x623,x622)+~E(x621,x622)+~P5(x623,x621)
% 0.20/0.72 [63]P14(x632,x633)+~E(x631,x632)+~P14(x631,x633)
% 0.20/0.72 [64]P14(x643,x642)+~E(x641,x642)+~P14(x643,x641)
% 0.20/0.72 [65]P17(x652,x653)+~E(x651,x652)+~P17(x651,x653)
% 0.20/0.72 [66]P17(x663,x662)+~E(x661,x662)+~P17(x663,x661)
% 0.20/0.72 [67]P8(x672,x673)+~E(x671,x672)+~P8(x671,x673)
% 0.20/0.72 [68]P8(x683,x682)+~E(x681,x682)+~P8(x683,x681)
% 0.20/0.72
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 cnf(154,plain,
% 0.20/0.72 (~P3(a5)),
% 0.20/0.72 inference(scs_inference,[],[74,81,92])).
% 0.20/0.72 cnf(160,plain,
% 0.20/0.72 (P16(f6(a5),a5)),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99])).
% 0.20/0.72 cnf(162,plain,
% 0.20/0.72 (P6(f12(a5),a23)),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99,98])).
% 0.20/0.72 cnf(164,plain,
% 0.20/0.72 (P6(f6(a5),a1)),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99,98,97])).
% 0.20/0.72 cnf(170,plain,
% 0.20/0.72 (P11(f12(a5),f13(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99,98,97,91,83,127])).
% 0.20/0.72 cnf(172,plain,
% 0.20/0.72 (P11(f6(a5),f12(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99,98,97,91,83,127,126])).
% 0.20/0.72 cnf(176,plain,
% 0.20/0.72 (P6(a5,f16(f6(a5),a5))),
% 0.20/0.72 inference(scs_inference,[],[74,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107])).
% 0.20/0.72 cnf(194,plain,
% 0.20/0.72 (P11(f6(a5),f13(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150])).
% 0.20/0.72 cnf(198,plain,
% 0.20/0.72 (~P16(f13(a5),a5)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136])).
% 0.20/0.72 cnf(200,plain,
% 0.20/0.72 (~P6(f12(a5),a1)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103])).
% 0.20/0.72 cnf(206,plain,
% 0.20/0.72 (P15(f11(a4,a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120])).
% 0.20/0.72 cnf(208,plain,
% 0.20/0.72 (~P6(f12(a5),a3)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140])).
% 0.20/0.72 cnf(212,plain,
% 0.20/0.72 (P16(f11(a4,a5),a5)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124])).
% 0.20/0.72 cnf(214,plain,
% 0.20/0.72 (~P10(f12(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132])).
% 0.20/0.72 cnf(216,plain,
% 0.20/0.72 (~P15(f13(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131])).
% 0.20/0.72 cnf(218,plain,
% 0.20/0.72 (P14(f12(a5),f13(a5))),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130])).
% 0.20/0.72 cnf(228,plain,
% 0.20/0.72 (P7(f13(a5))),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130,90,89,88,86,85])).
% 0.20/0.72 cnf(230,plain,
% 0.20/0.72 (~P7(a5)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130,90,89,88,86,85,82])).
% 0.20/0.72 cnf(233,plain,
% 0.20/0.72 (~P12(f6(a5),f13(a5),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130,90,89,88,86,85,82,53,151])).
% 0.20/0.72 cnf(235,plain,
% 0.20/0.72 (P15(f13(a5),f10(a4,f12(a5),f13(a5)))),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130,90,89,88,86,85,82,53,151,101])).
% 0.20/0.72 cnf(241,plain,
% 0.20/0.72 (P6(f13(a5),a3)+P6(f13(a5),a2)),
% 0.20/0.72 inference(scs_inference,[],[74,69,73,75,81,92,2,87,84,99,98,97,91,83,127,126,110,107,149,148,147,146,145,144,143,56,38,150,137,136,103,93,121,120,140,139,124,132,131,130,90,89,88,86,85,82,53,151,101,141,133,105])).
% 0.20/0.72 cnf(275,plain,
% 0.20/0.72 (~P15(a5,x2751)),
% 0.20/0.72 inference(scs_inference,[],[74,76,235,218,212,206,172,160,164,198,200,216,154,230,129,128,95,94,114,112,59,55,48,136,103,131,86])).
% 0.20/0.72 cnf(300,plain,
% 0.20/0.72 (~P6(f13(a5),a2)),
% 0.20/0.72 inference(scs_inference,[],[74,71,76,81,170,235,218,228,212,176,206,172,194,160,162,164,198,200,208,216,154,230,129,128,95,94,114,112,59,55,48,136,103,131,86,85,82,110,38,137,101,93,92,138,102,68,64,49,41,139])).
% 0.20/0.72 cnf(302,plain,
% 0.20/0.72 (~P11(f12(a5),a5,x3021)),
% 0.20/0.72 inference(scs_inference,[],[74,71,76,81,170,235,218,228,212,176,206,172,194,160,162,164,198,200,208,216,154,230,129,128,95,94,114,112,59,55,48,136,103,131,86,85,82,110,38,137,101,93,92,138,102,68,64,49,41,139,130])).
% 0.20/0.72 cnf(304,plain,
% 0.20/0.72 (P11(f12(a5),f19(f12(a5),a4),a4)),
% 0.20/0.72 inference(scs_inference,[],[74,71,76,81,170,235,214,218,228,212,176,206,172,194,160,162,164,198,200,208,216,154,230,129,128,95,94,114,112,59,55,48,136,103,131,86,85,82,110,38,137,101,93,92,138,102,68,64,49,41,139,130,141])).
% 0.20/0.72 cnf(310,plain,
% 0.20/0.72 (~P6(f13(a5),a3)),
% 0.20/0.72 inference(scs_inference,[],[74,71,76,81,170,235,214,218,228,212,176,206,172,194,233,160,162,164,198,200,208,216,154,230,129,128,95,94,114,112,59,55,48,136,103,131,86,85,82,110,38,137,101,93,92,138,102,68,64,49,41,139,130,141,153,152,140])).
% 0.20/0.72 cnf(339,plain,
% 0.20/0.72 ($false),
% 0.20/0.72 inference(scs_inference,[],[275,302,304,300,310,206,40,54,241]),
% 0.20/0.72 ['proof']).
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time :0.070000s
%------------------------------------------------------------------------------