TSTP Solution File: KRS148+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 05:39:26 EDT 2023
% Result : Theorem 64.47s 64.60s
% Output : CNFRefutation 64.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 00:52:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 64.47/64.57 %-------------------------------------------
% 64.47/64.57 % File :CSE---1.6
% 64.47/64.57 % Problem :theBenchmark
% 64.47/64.57 % Transform :cnf
% 64.47/64.57 % Format :tptp:raw
% 64.47/64.57 % Command :java -jar mcs_scs.jar %d %s
% 64.47/64.57
% 64.47/64.57 % Result :Theorem 63.900000s
% 64.47/64.57 % Output :CNFRefutation 63.900000s
% 64.47/64.57 %-------------------------------------------
% 64.47/64.58 %------------------------------------------------------------------------------
% 64.47/64.58 % File : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 64.47/64.58 % Domain : Knowledge Representation (Semantic Web)
% 64.47/64.58 % Problem : DL Test: k_dum ABox test from DL98 systems comparison
% 64.47/64.58 % Version : Especial.
% 64.47/64.58 % English :
% 64.47/64.58
% 64.47/64.58 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 64.47/64.58 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 64.47/64.58 % Source : [Bec03]
% 64.47/64.58 % Names : positive_description-logic-Manifest203 [Bec03]
% 64.47/64.58
% 64.47/64.58 % Status : Theorem
% 64.47/64.58 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.12 v5.4.0, 0.17 v5.3.0, 0.22 v5.2.0, 0.07 v5.0.0, 0.10 v4.1.0, 0.06 v4.0.1, 0.00 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.17 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0
% 64.47/64.58 % Syntax : Number of formulae : 90 ( 13 unt; 0 def)
% 64.47/64.58 % Number of atoms : 243 ( 0 equ)
% 64.47/64.58 % Maximal formula atoms : 8 ( 2 avg)
% 64.47/64.58 % Number of connectives : 207 ( 54 ~; 0 |; 77 &)
% 64.47/64.58 % ( 72 <=>; 4 =>; 0 <=; 0 <~>)
% 64.47/64.58 % Maximal formula depth : 6 ( 4 avg)
% 64.47/64.58 % Maximal term depth : 1 ( 1 avg)
% 64.47/64.58 % Number of predicates : 77 ( 77 usr; 0 prp; 1-2 aty)
% 64.47/64.58 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 64.47/64.58 % Number of variables : 116 ( 78 !; 38 ?)
% 64.47/64.58 % SPC : FOF_THM_RFO_NEQ
% 64.47/64.58
% 64.47/64.58 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 64.47/64.58 % datatypes, so this problem may not be perfect. At least it's
% 64.47/64.58 % still representative of the type of reasoning required for OWL.
% 64.47/64.58 %------------------------------------------------------------------------------
% 64.47/64.58 %----Thing and Nothing
% 64.47/64.58 fof(axiom_0,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cowlThing(X)
% 64.47/64.58 & ~ cowlNothing(X) ) ).
% 64.47/64.58
% 64.47/64.58 %----String and Integer disjoint
% 64.47/64.58 fof(axiom_1,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( xsd_string(X)
% 64.47/64.58 <=> ~ xsd_integer(X) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC10
% 64.47/64.58 fof(axiom_2,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC10(X)
% 64.47/64.58 <=> ( ~ cC8(X)
% 64.47/64.58 & ~ cC2(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC100
% 64.47/64.58 fof(axiom_3,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC100(X)
% 64.47/64.58 <=> ( ~ cC98(X)
% 64.47/64.58 & cC94(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC102
% 64.47/64.58 fof(axiom_4,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC102(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & cC100(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC104
% 64.47/64.58 fof(axiom_5,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC104(X)
% 64.47/64.58 <=> ( ~ cC102(X)
% 64.47/64.58 & cC88(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC106
% 64.47/64.58 fof(axiom_6,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC106(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & cC104(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC108
% 64.47/64.58 fof(axiom_7,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC108(X)
% 64.47/64.58 <=> ( cC84(X)
% 64.47/64.58 & ~ cC106(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC110
% 64.47/64.58 fof(axiom_8,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC110(X)
% 64.47/64.58 <=> ( cC62(X)
% 64.47/64.58 & ~ cC108(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC112
% 64.47/64.58 fof(axiom_9,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC112(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & ~ cC110(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC114
% 64.47/64.58 fof(axiom_10,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC114(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & cC112(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC116
% 64.47/64.58 fof(axiom_11,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC116(X)
% 64.47/64.58 <=> ( cTOP(X)
% 64.47/64.58 & ~ cC114(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC118
% 64.47/64.58 fof(axiom_12,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC118(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & ~ cC2(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC12
% 64.47/64.58 fof(axiom_13,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC12(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & cC10(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC120
% 64.47/64.58 fof(axiom_14,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC120(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.58 ( rR1(X,Y)
% 64.47/64.58 & ~ cC118(Y) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC122
% 64.47/64.58 fof(axiom_15,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC122(X)
% 64.47/64.58 <=> ( ~ cC2(X)
% 64.47/64.58 & cC120(X) ) ) ).
% 64.47/64.58
% 64.47/64.58 %----Equality cC124
% 64.47/64.58 fof(axiom_16,axiom,
% 64.47/64.58 ! [X] :
% 64.47/64.58 ( cC124(X)
% 64.47/64.58 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC126
% 64.47/64.59 fof(axiom_17,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC126(X)
% 64.47/64.59 <=> ( cC124(X)
% 64.47/64.59 & cC2(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC128
% 64.47/64.59 fof(axiom_18,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC128(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC126(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC130
% 64.47/64.59 fof(axiom_19,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC130(X)
% 64.47/64.59 <=> ( ~ cC2(X)
% 64.47/64.59 & ~ cC128(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC132
% 64.47/64.59 fof(axiom_20,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC132(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC130(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC134
% 64.47/64.59 fof(axiom_21,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC134(X)
% 64.47/64.59 <=> ( cC122(X)
% 64.47/64.59 & ~ cC132(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC136
% 64.47/64.59 fof(axiom_22,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC136(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC134(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC138
% 64.47/64.59 fof(axiom_23,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC138(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC136(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC14
% 64.47/64.59 fof(axiom_24,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC14(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC12(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC140
% 64.47/64.59 fof(axiom_25,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC140(X)
% 64.47/64.59 <=> ( cTOP(X)
% 64.47/64.59 & cC138(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC16
% 64.47/64.59 fof(axiom_26,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC16(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC18
% 64.47/64.59 fof(axiom_27,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC18(X)
% 64.47/64.59 <=> ( cC16(X)
% 64.47/64.59 & cC2(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC20
% 64.47/64.59 fof(axiom_28,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC20(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC18(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC22
% 64.47/64.59 fof(axiom_29,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC22(X)
% 64.47/64.59 <=> ( ~ cC20(X)
% 64.47/64.59 & ~ cC2(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC24
% 64.47/64.59 fof(axiom_30,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC24(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC22(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC26
% 64.47/64.59 fof(axiom_31,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC26(X)
% 64.47/64.59 <=> ( cC14(X)
% 64.47/64.59 & ~ cC24(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC28
% 64.47/64.59 fof(axiom_32,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC28(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC30
% 64.47/64.59 fof(axiom_33,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC30(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC28(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC32
% 64.47/64.59 fof(axiom_34,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC32(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC34
% 64.47/64.59 fof(axiom_35,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC34(X)
% 64.47/64.59 <=> ( cC30(X)
% 64.47/64.59 & ~ cC32(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC36
% 64.47/64.59 fof(axiom_36,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC36(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC34(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC38
% 64.47/64.59 fof(axiom_37,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC38(X)
% 64.47/64.59 <=> ( ~ cC36(X)
% 64.47/64.59 & ~ cC26(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC4
% 64.47/64.59 fof(axiom_38,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC4(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC40
% 64.47/64.59 fof(axiom_39,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC40(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC42
% 64.47/64.59 fof(axiom_40,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC42(X)
% 64.47/64.59 <=> ( ~ cC2(X)
% 64.47/64.59 & cC40(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC44
% 64.47/64.59 fof(axiom_41,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC44(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC46
% 64.47/64.59 fof(axiom_42,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC46(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC44(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC48
% 64.47/64.59 fof(axiom_43,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC48(X)
% 64.47/64.59 <=> ( cC42(X)
% 64.47/64.59 & cC46(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC50
% 64.47/64.59 fof(axiom_44,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC50(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & ~ cC2(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC52
% 64.47/64.59 fof(axiom_45,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC52(X)
% 64.47/64.59 <=> ( cC2(X)
% 64.47/64.59 & cC50(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC54
% 64.47/64.59 fof(axiom_46,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC54(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC52(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC56
% 64.47/64.59 fof(axiom_47,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC56(X)
% 64.47/64.59 <=> ( ~ cC54(X)
% 64.47/64.59 & ~ cC2(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC58
% 64.47/64.59 fof(axiom_48,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC58(X)
% 64.47/64.59 <=> ? [Y] :
% 64.47/64.59 ( rR1(X,Y)
% 64.47/64.59 & cC56(Y) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC6
% 64.47/64.59 fof(axiom_49,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC6(X)
% 64.47/64.59 <=> ( cC2(X)
% 64.47/64.59 & cC4(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC60
% 64.47/64.59 fof(axiom_50,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC60(X)
% 64.47/64.59 <=> ( cC48(X)
% 64.47/64.59 & ~ cC58(X) ) ) ).
% 64.47/64.59
% 64.47/64.59 %----Equality cC62
% 64.47/64.59 fof(axiom_51,axiom,
% 64.47/64.59 ! [X] :
% 64.47/64.59 ( cC62(X)
% 64.47/64.59 <=> ( cC38(X)
% 64.47/64.60 & ~ cC60(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC64
% 64.47/64.60 fof(axiom_52,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC64(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC66
% 64.47/64.60 fof(axiom_53,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC66(X)
% 64.47/64.60 <=> ( cC64(X)
% 64.47/64.60 & cC2(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC68
% 64.47/64.60 fof(axiom_54,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC68(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC70
% 64.47/64.60 fof(axiom_55,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC70(X)
% 64.47/64.60 <=> ( cC2(X)
% 64.47/64.60 & cC68(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC72
% 64.47/64.60 fof(axiom_56,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC72(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & cC70(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC74
% 64.47/64.60 fof(axiom_57,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC74(X)
% 64.47/64.60 <=> ( cC66(X)
% 64.47/64.60 & cC72(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC76
% 64.47/64.60 fof(axiom_58,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC76(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC78
% 64.47/64.60 fof(axiom_59,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC78(X)
% 64.47/64.60 <=> ( cC76(X)
% 64.47/64.60 & cC2(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC8
% 64.47/64.60 fof(axiom_60,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC8(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & cC6(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC80
% 64.47/64.60 fof(axiom_61,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC80(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & cC78(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC82
% 64.47/64.60 fof(axiom_62,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC82(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC80(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC84
% 64.47/64.60 fof(axiom_63,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC84(X)
% 64.47/64.60 <=> ( cC82(X)
% 64.47/64.60 & cC74(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC86
% 64.47/64.60 fof(axiom_64,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC86(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC88
% 64.47/64.60 fof(axiom_65,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC88(X)
% 64.47/64.60 <=> ( cC86(X)
% 64.47/64.60 & cC2(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC90
% 64.47/64.60 fof(axiom_66,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC90(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC92
% 64.47/64.60 fof(axiom_67,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC92(X)
% 64.47/64.60 <=> ( cC2(X)
% 64.47/64.60 & cC90(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC94
% 64.47/64.60 fof(axiom_68,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC94(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & cC92(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC96
% 64.47/64.60 fof(axiom_69,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC96(X)
% 64.47/64.60 <=> ? [Y] :
% 64.47/64.60 ( rR1(X,Y)
% 64.47/64.60 & ~ cC2(Y) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cC98
% 64.47/64.60 fof(axiom_70,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cC98(X)
% 64.47/64.60 <=> ( cC96(X)
% 64.47/64.60 & cC2(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----Equality cTEST
% 64.47/64.60 fof(axiom_71,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( cTEST(X)
% 64.47/64.60 <=> ( cC140(X)
% 64.47/64.60 & cC116(X) ) ) ).
% 64.47/64.60
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(axiom_72,axiom,
% 64.47/64.60 cTEST(iV5475) ).
% 64.47/64.60
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(axiom_73,axiom,
% 64.47/64.60 cTOP(iV5475) ).
% 64.47/64.60
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(axiom_74,axiom,
% 64.47/64.60 cowlThing(iV5475) ).
% 64.47/64.60
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(axiom_75,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( rR1(iV5475,X)
% 64.47/64.60 => ~ cC112(X) ) ).
% 64.47/64.60
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(axiom_76,axiom,
% 64.47/64.60 ~ cC114(iV5475) ).
% 64.47/64.60
% 64.47/64.60 fof(axiom_77,axiom,
% 64.47/64.60 rR1(iV5475,iV5476) ).
% 64.47/64.60
% 64.47/64.60 %----iV5476
% 64.47/64.60 fof(axiom_78,axiom,
% 64.47/64.60 cowlThing(iV5476) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_79,axiom,
% 64.47/64.60 ~ cC34(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_80,axiom,
% 64.47/64.60 ~ cC12(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_81,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( rR1(iV5478,X)
% 64.47/64.60 => cC2(X) ) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_82,axiom,
% 64.47/64.60 ~ cC30(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_83,axiom,
% 64.47/64.60 ~ cC130(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_84,axiom,
% 64.47/64.60 ~ cC118(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_85,axiom,
% 64.47/64.60 cowlThing(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_86,axiom,
% 64.47/64.60 cC2(iV5478) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_87,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( rR1(iV5478,X)
% 64.47/64.60 => ~ cC28(X) ) ).
% 64.47/64.60
% 64.47/64.60 %----iV5478
% 64.47/64.60 fof(axiom_88,axiom,
% 64.47/64.60 ! [X] :
% 64.47/64.60 ( rR1(iV5478,X)
% 64.47/64.60 => ~ cC10(X) ) ).
% 64.47/64.60
% 64.47/64.60 %----Thing and Nothing
% 64.47/64.60 %----String and Integer disjoint
% 64.47/64.60 %----iV5475
% 64.47/64.60 %----iV5475
% 64.47/64.60 %----iV5475
% 64.47/64.60 %----iV5475
% 64.47/64.60 fof(the_axiom,conjecture,
% 64.47/64.60 ( ! [X] :
% 64.47/64.60 ( cowlThing(X)
% 64.47/64.60 & ~ cowlNothing(X) )
% 64.47/64.60 & ! [X] :
% 64.47/64.60 ( xsd_string(X)
% 64.47/64.60 <=> ~ xsd_integer(X) )
% 64.47/64.60 & cC138(iV5475)
% 64.47/64.60 & cowlThing(iV5475)
% 64.47/64.60 & cC116(iV5475)
% 64.47/64.60 & cC140(iV5475) ) ).
% 64.47/64.60
% 64.47/64.60 %------------------------------------------------------------------------------
% 64.47/64.60 %-------------------------------------------
% 64.47/64.60 % Proof found
% 64.47/64.60 % SZS status Theorem for theBenchmark
% 64.47/64.60 % SZS output start Proof
% 64.47/64.60 %ClaNum:229(EqnAxiom:0)
% 64.47/64.60 %VarNum:579(SingletonVarNum:255)
% 64.47/64.60 %MaxLitNum:6
% 64.47/64.60 %MaxfuncDepth:1
% 64.47/64.60 %SharedTerms:23
% 64.47/64.60 %goalClause: 149 150
% 64.47/64.60 [1]P1(a1)
% 64.47/64.60 [2]P28(a2)
% 64.47/64.60 [3]P29(a2)
% 64.47/64.60 [4]P73(a2,a43)
% 64.47/64.60 [5]~P2(a2)
% 64.47/64.60 [6]~P11(a1)
% 64.47/64.60 [7]~P13(a1)
% 64.47/64.60 [8]~P14(a1)
% 64.47/64.60 [9]~P30(a1)
% 64.47/64.60 [10]~P36(a1)
% 64.47/64.60 [11]~P74(x111)
% 64.47/64.60 [12]P76(x121)+P75(x121)
% 64.47/64.60 [13]~P38(x131)+P1(x131)
% 64.47/64.60 [14]~P39(x141)+P1(x141)
% 64.47/64.60 [15]~P15(x151)+P1(x151)
% 64.47/64.60 [16]~P20(x161)+P1(x161)
% 64.47/64.60 [17]~P40(x171)+P1(x171)
% 64.47/64.60 [18]~P50(x181)+P1(x181)
% 64.47/64.60 [19]~P54(x191)+P1(x191)
% 64.47/64.60 [20]~P58(x201)+P1(x201)
% 64.47/64.60 [21]~P60(x211)+P1(x211)
% 64.47/64.60 [22]~P69(x221)+P1(x221)
% 64.47/64.60 [23]~P3(x231)+P71(x231)
% 64.47/64.60 [24]~P5(x241)+P39(x241)
% 64.47/64.60 [25]~P7(x251)+P64(x251)
% 64.47/64.60 [26]~P9(x261)+P55(x261)
% 64.47/64.60 [27]~P29(x271)+P12(x271)
% 64.47/64.60 [28]~P12(x281)+P28(x281)
% 64.47/64.60 [29]~P21(x291)+P28(x291)
% 64.47/64.60 [30]~P17(x301)+P16(x301)
% 64.47/64.60 [31]~P22(x311)+P17(x311)
% 64.47/64.60 [32]~P15(x321)+P18(x321)
% 64.47/64.60 [33]~P21(x331)+P24(x331)
% 64.47/64.60 [34]~P31(x341)+P26(x341)
% 64.47/64.60 [35]~P29(x351)+P21(x351)
% 64.47/64.60 [36]~P20(x361)+P27(x361)
% 64.47/64.60 [37]~P36(x371)+P30(x371)
% 64.47/64.60 [38]~P55(x381)+P41(x381)
% 64.47/64.60 [39]~P50(x391)+P43(x391)
% 64.47/64.60 [40]~P45(x401)+P44(x401)
% 64.47/64.60 [41]~P46(x411)+P45(x411)
% 64.47/64.60 [42]~P46(x421)+P47(x421)
% 64.47/64.60 [43]~P56(x431)+P46(x431)
% 64.47/64.60 [44]~P40(x441)+P49(x441)
% 64.47/64.60 [45]~P54(x451)+P57(x451)
% 64.47/64.60 [46]~P61(x461)+P54(x461)
% 64.47/64.60 [47]~P58(x471)+P59(x471)
% 64.47/64.60 [48]~P61(x481)+P62(x481)
% 64.47/64.60 [49]~P64(x491)+P61(x491)
% 64.47/64.60 [50]~P60(x501)+P63(x501)
% 64.47/64.60 [51]~P64(x511)+P65(x511)
% 64.47/64.60 [52]~P39(x521)+P68(x521)
% 64.47/64.60 [53]~P69(x531)+P70(x531)
% 64.47/64.60 [54]~P38(x541)+P72(x541)
% 64.47/64.60 [60]~P76(x601)+~P75(x601)
% 64.47/64.60 [61]~P66(x611)+~P4(x611)
% 64.47/64.60 [62]~P1(x621)+~P4(x621)
% 64.47/64.60 [63]~P17(x631)+~P1(x631)
% 64.47/64.60 [64]~P14(x641)+~P1(x641)
% 64.47/64.60 [65]~P33(x651)+~P1(x651)
% 64.47/64.60 [66]~P45(x661)+~P1(x661)
% 64.47/64.60 [67]~P52(x671)+~P1(x671)
% 64.47/64.60 [68]~P38(x681)+~P3(x681)
% 64.47/64.60 [69]~P5(x691)+~P6(x691)
% 64.47/64.60 [70]~P7(x701)+~P8(x701)
% 64.47/64.60 [71]~P9(x711)+~P7(x711)
% 64.47/64.60 [72]~P56(x721)+~P55(x721)
% 64.47/64.60 [73]~P12(x731)+~P2(x731)
% 64.47/64.60 [74]~P14(x741)+~P19(x741)
% 64.47/64.60 [75]~P22(x751)+~P23(x751)
% 64.47/64.60 [76]~P33(x761)+~P32(x761)
% 64.47/64.60 [77]~P31(x771)+~P34(x771)
% 64.47/64.60 [78]~P41(x781)+~P31(x781)
% 64.47/64.60 [79]~P36(x791)+~P37(x791)
% 64.47/64.60 [80]~P41(x801)+~P42(x801)
% 64.47/64.60 [81]~P52(x811)+~P51(x811)
% 64.47/64.60 [82]~P56(x821)+~P53(x821)
% 64.47/64.60 [148]P1(x1481)+~P73(a1,x1481)
% 64.47/64.60 [151]~P4(x1511)+~P73(a1,x1511)
% 64.47/64.60 [152]~P10(x1521)+~P73(a2,x1521)
% 64.47/64.60 [153]~P35(x1531)+~P73(a1,x1531)
% 64.47/64.60 [95]~P13(x951)+P4(f3(x951))
% 64.47/64.60 [96]~P6(x961)+P3(f4(x961))
% 64.47/64.60 [97]~P8(x971)+P5(f15(x971))
% 64.47/64.60 [98]~P2(x981)+P10(f26(x981))
% 64.47/64.60 [99]~P26(x991)+P13(f5(x991))
% 64.47/64.60 [100]~P19(x1001)+P15(f40(x1001))
% 64.47/64.60 [101]~P23(x1011)+P14(f6(x1011))
% 64.47/64.60 [102]~P25(x1021)+P22(f7(x1021))
% 64.47/64.60 [103]~P24(x1031)+P25(f8(x1031))
% 64.47/64.60 [104]~P32(x1041)+P20(f9(x1041))
% 64.47/64.60 [105]~P34(x1051)+P33(f11(x1051))
% 64.47/64.60 [106]~P30(x1061)+P35(f12(x1061))
% 64.47/64.60 [107]~P42(x1071)+P36(f16(x1071))
% 64.47/64.60 [108]~P51(x1081)+P40(f17(x1081))
% 64.47/64.60 [109]~P53(x1091)+P52(f23(x1091))
% 64.47/64.60 [110]~P66(x1101)+P50(f27(x1101))
% 64.47/64.60 [111]~P62(x1111)+P58(f28(x1111))
% 64.47/64.60 [112]~P67(x1121)+P60(f30(x1121))
% 64.47/64.60 [113]~P71(x1131)+P69(f31(x1131))
% 64.47/64.60 [129]~P10(x1291)+~P9(f35(x1291))
% 64.47/64.60 [130]~P11(x1301)+~P1(f39(x1301))
% 64.47/64.60 [131]~P16(x1311)+~P11(f41(x1311))
% 64.47/64.60 [132]~P18(x1321)+~P1(f42(x1321))
% 64.47/64.60 [133]~P27(x1331)+~P1(f10(x1331))
% 64.47/64.60 [134]~P35(x1341)+~P1(f13(x1341))
% 64.47/64.60 [135]~P37(x1351)+~P1(f14(x1351))
% 64.47/64.60 [136]~P43(x1361)+~P1(f18(x1361))
% 64.47/64.60 [137]~P44(x1371)+~P1(f19(x1371))
% 64.47/64.60 [138]~P48(x1381)+~P1(f20(x1381))
% 64.47/64.60 [139]~P47(x1391)+~P48(f21(x1391))
% 64.47/64.60 [140]~P49(x1401)+~P1(f22(x1401))
% 64.47/64.60 [141]~P57(x1411)+~P1(f24(x1411))
% 64.47/64.60 [142]~P59(x1421)+~P1(f25(x1421))
% 64.47/64.60 [143]~P63(x1431)+~P1(f29(x1431))
% 64.47/64.60 [144]~P65(x1441)+~P67(f32(x1441))
% 64.47/64.60 [145]~P68(x1451)+~P1(f33(x1451))
% 64.47/64.60 [146]~P70(x1461)+~P1(f34(x1461))
% 64.47/64.60 [147]~P72(x1471)+~P1(f36(x1471))
% 64.47/64.60 [154]~P6(x1541)+P73(x1541,f4(x1541))
% 64.47/64.60 [155]~P8(x1551)+P73(x1551,f15(x1551))
% 64.47/64.60 [156]~P10(x1561)+P73(x1561,f35(x1561))
% 64.47/64.60 [157]~P2(x1571)+P73(x1571,f26(x1571))
% 64.47/64.60 [158]~P11(x1581)+P73(x1581,f39(x1581))
% 64.47/64.60 [159]~P13(x1591)+P73(x1591,f3(x1591))
% 64.47/64.60 [160]~P16(x1601)+P73(x1601,f41(x1601))
% 64.47/64.60 [161]~P18(x1611)+P73(x1611,f42(x1611))
% 64.47/64.60 [162]~P19(x1621)+P73(x1621,f40(x1621))
% 64.47/64.60 [163]~P23(x1631)+P73(x1631,f6(x1631))
% 64.47/64.60 [164]~P25(x1641)+P73(x1641,f7(x1641))
% 64.47/64.60 [165]~P24(x1651)+P73(x1651,f8(x1651))
% 64.47/64.60 [166]~P26(x1661)+P73(x1661,f5(x1661))
% 64.47/64.60 [167]~P27(x1671)+P73(x1671,f10(x1671))
% 64.47/64.60 [168]~P32(x1681)+P73(x1681,f9(x1681))
% 64.47/64.60 [169]~P34(x1691)+P73(x1691,f11(x1691))
% 64.47/64.60 [170]~P35(x1701)+P73(x1701,f13(x1701))
% 64.47/64.60 [171]~P30(x1711)+P73(x1711,f12(x1711))
% 64.47/64.60 [172]~P37(x1721)+P73(x1721,f14(x1721))
% 64.47/64.60 [173]~P42(x1731)+P73(x1731,f16(x1731))
% 64.47/64.60 [174]~P43(x1741)+P73(x1741,f18(x1741))
% 64.47/64.60 [175]~P44(x1751)+P73(x1751,f19(x1751))
% 64.47/64.60 [176]~P48(x1761)+P73(x1761,f20(x1761))
% 64.47/64.60 [177]~P47(x1771)+P73(x1771,f21(x1771))
% 64.47/64.60 [178]~P49(x1781)+P73(x1781,f22(x1781))
% 64.47/64.60 [179]~P51(x1791)+P73(x1791,f17(x1791))
% 64.47/64.60 [180]~P53(x1801)+P73(x1801,f23(x1801))
% 64.47/64.60 [181]~P57(x1811)+P73(x1811,f24(x1811))
% 64.47/64.60 [182]~P59(x1821)+P73(x1821,f25(x1821))
% 64.47/64.60 [183]~P62(x1831)+P73(x1831,f28(x1831))
% 64.47/64.60 [184]~P63(x1841)+P73(x1841,f29(x1841))
% 64.47/64.60 [185]~P66(x1851)+P73(x1851,f27(x1851))
% 64.47/64.60 [186]~P67(x1861)+P73(x1861,f30(x1861))
% 64.47/64.60 [187]~P65(x1871)+P73(x1871,f32(x1871))
% 64.47/64.60 [188]~P68(x1881)+P73(x1881,f33(x1881))
% 64.47/64.60 [189]~P70(x1891)+P73(x1891,f34(x1891))
% 64.47/64.60 [190]~P71(x1901)+P73(x1901,f31(x1901))
% 64.47/64.60 [191]~P72(x1911)+P73(x1911,f36(x1911))
% 64.47/64.60 [55]P66(x551)+P1(x551)+P4(x551)
% 64.47/64.60 [56]P19(x561)+P14(x561)+P1(x561)
% 64.47/64.60 [57]P32(x571)+P33(x571)+P1(x571)
% 64.47/64.60 [58]P51(x581)+P52(x581)+P1(x581)
% 64.47/64.60 [59]P42(x591)+P41(x591)+P31(x591)
% 64.47/64.60 [83]P17(x831)+~P16(x831)+P1(x831)
% 64.47/64.60 [84]P45(x841)+~P44(x841)+P1(x841)
% 64.47/64.60 [85]P38(x851)+~P71(x851)+P3(x851)
% 64.47/64.60 [86]P5(x861)+~P39(x861)+P6(x861)
% 64.47/64.60 [87]P7(x871)+~P64(x871)+P8(x871)
% 64.47/64.60 [88]P9(x881)+~P55(x881)+P7(x881)
% 64.47/64.60 [89]P56(x891)+~P41(x891)+P55(x891)
% 64.47/64.60 [90]P12(x901)+~P28(x901)+P2(x901)
% 64.47/64.60 [91]P22(x911)+~P17(x911)+P23(x911)
% 64.47/64.60 [92]P31(x921)+~P26(x921)+P34(x921)
% 64.47/64.60 [93]P36(x931)+~P30(x931)+P37(x931)
% 64.47/64.60 [94]P56(x941)+~P46(x941)+P53(x941)
% 64.47/64.60 [114]~P1(x1141)+~P72(x1141)+P38(x1141)
% 64.47/64.60 [115]~P1(x1151)+~P68(x1151)+P39(x1151)
% 64.47/64.60 [116]~P61(x1161)+~P65(x1161)+P64(x1161)
% 64.47/64.60 [117]~P1(x1171)+~P18(x1171)+P15(x1171)
% 64.47/64.60 [118]~P28(x1181)+~P24(x1181)+P21(x1181)
% 64.47/64.60 [119]~P1(x1191)+~P27(x1191)+P20(x1191)
% 64.47/64.60 [120]~P45(x1201)+~P47(x1201)+P46(x1201)
% 64.47/64.60 [121]~P1(x1211)+~P49(x1211)+P40(x1211)
% 64.47/64.60 [122]~P1(x1221)+~P43(x1221)+P50(x1221)
% 64.47/64.60 [123]~P1(x1231)+~P57(x1231)+P54(x1231)
% 64.47/64.60 [124]~P1(x1241)+~P59(x1241)+P58(x1241)
% 64.47/64.60 [125]~P54(x1251)+~P62(x1251)+P61(x1251)
% 64.47/64.60 [126]~P1(x1261)+~P63(x1261)+P60(x1261)
% 64.47/64.60 [127]~P1(x1271)+~P70(x1271)+P69(x1271)
% 64.47/64.60 [128]~P12(x1281)+~P21(x1281)+P29(x1281)
% 64.47/64.60 [192]~P73(x1922,x1921)+P1(x1921)+P11(x1922)
% 64.47/64.60 [193]~P73(x1932,x1931)+P1(x1931)+P18(x1932)
% 64.47/64.60 [194]~P73(x1942,x1941)+P1(x1941)+P27(x1942)
% 64.47/64.60 [195]~P73(x1952,x1951)+P1(x1951)+P35(x1952)
% 64.47/64.60 [196]~P73(x1962,x1961)+P1(x1961)+P37(x1962)
% 64.47/64.60 [197]~P73(x1972,x1971)+P1(x1971)+P43(x1972)
% 64.47/64.60 [198]~P73(x1982,x1981)+P1(x1981)+P44(x1982)
% 64.47/64.60 [199]~P73(x1992,x1991)+P1(x1991)+P48(x1992)
% 64.47/64.60 [200]~P73(x2002,x2001)+P1(x2001)+P49(x2002)
% 64.47/64.60 [201]~P73(x2012,x2011)+P1(x2011)+P57(x2012)
% 64.47/64.60 [202]~P73(x2022,x2021)+P1(x2021)+P59(x2022)
% 64.47/64.60 [203]~P73(x2032,x2031)+P1(x2031)+P63(x2032)
% 64.47/64.60 [204]~P73(x2042,x2041)+P1(x2041)+P68(x2042)
% 64.47/64.60 [205]~P73(x2052,x2051)+P1(x2051)+P70(x2052)
% 64.47/64.60 [206]~P73(x2062,x2061)+P1(x2061)+P72(x2062)
% 64.47/64.60 [207]~P73(x2072,x2071)+P9(x2071)+P10(x2072)
% 64.47/64.60 [208]~P73(x2082,x2081)+P11(x2081)+P16(x2082)
% 64.47/64.60 [209]~P73(x2092,x2091)+P48(x2091)+P47(x2092)
% 64.47/64.60 [210]~P73(x2102,x2101)+P67(x2101)+P65(x2102)
% 64.47/64.60 [211]~P73(x2111,x2112)+P66(x2111)+~P50(x2112)
% 64.47/64.60 [212]~P73(x2121,x2122)+P71(x2121)+~P69(x2122)
% 64.47/64.60 [213]~P73(x2131,x2132)+P6(x2131)+~P3(x2132)
% 64.47/64.60 [214]~P73(x2141,x2142)+P8(x2141)+~P5(x2142)
% 64.47/64.60 [215]~P73(x2151,x2152)+P2(x2151)+~P10(x2152)
% 64.47/64.60 [216]~P73(x2161,x2162)+P13(x2161)+~P4(x2162)
% 64.47/64.60 [217]~P73(x2171,x2172)+P19(x2171)+~P15(x2172)
% 64.47/64.60 [218]~P73(x2181,x2182)+P23(x2181)+~P14(x2182)
% 64.47/64.60 [219]~P73(x2191,x2192)+P25(x2191)+~P22(x2192)
% 64.47/64.60 [220]~P73(x2201,x2202)+P24(x2201)+~P25(x2202)
% 64.47/64.60 [221]~P73(x2211,x2212)+P26(x2211)+~P13(x2212)
% 64.47/64.60 [222]~P73(x2221,x2222)+P32(x2221)+~P20(x2222)
% 64.47/64.60 [223]~P73(x2231,x2232)+P34(x2231)+~P33(x2232)
% 64.47/64.60 [224]~P73(x2241,x2242)+P30(x2241)+~P35(x2242)
% 64.47/64.60 [225]~P73(x2251,x2252)+P42(x2251)+~P36(x2252)
% 64.47/64.60 [226]~P73(x2261,x2262)+P51(x2261)+~P40(x2262)
% 64.47/64.60 [227]~P73(x2271,x2272)+P53(x2271)+~P52(x2272)
% 64.47/64.60 [228]~P73(x2281,x2282)+P62(x2281)+~P58(x2282)
% 64.47/64.60 [229]~P73(x2291,x2292)+P67(x2291)+~P60(x2292)
% 64.47/64.60 [149]P74(a37)+P75(a38)+~P76(a38)+~P12(a2)+~P24(a2)+~P21(a2)
% 64.47/64.60 [150]P74(a37)+P76(a38)+~P75(a38)+~P12(a2)+~P24(a2)+~P21(a2)
% 64.47/64.60 %EqnAxiom
% 64.47/64.60
% 64.47/64.60 %-------------------------------------------
% 64.47/64.60 cnf(242,plain,
% 64.47/64.61 (P12(a2)),
% 64.47/64.61 inference(scs_inference,[],[1,2,4,5,152,67,66,65,63,41,31,90])).
% 64.47/64.61 cnf(246,plain,
% 64.47/64.61 (P21(a2)),
% 64.47/64.61 inference(scs_inference,[],[1,2,3,4,5,152,67,66,65,63,41,31,90,62,35])).
% 64.47/64.61 cnf(248,plain,
% 64.47/64.61 (P24(a2)),
% 64.47/64.61 inference(scs_inference,[],[1,2,3,4,5,152,67,66,65,63,41,31,90,62,35,33])).
% 64.47/64.61 cnf(278,plain,
% 64.47/64.61 (P75(a38)+~P76(a38)),
% 64.47/64.61 inference(scs_inference,[],[242,248,246,11,149])).
% 64.47/64.61 cnf(279,plain,
% 64.47/64.61 (P76(a38)+~P75(a38)),
% 64.47/64.61 inference(scs_inference,[],[242,248,246,11,150])).
% 64.47/64.61 cnf(4409,plain,
% 64.47/64.61 (~P76(a38)),
% 64.47/64.61 inference(scs_inference,[],[278,60])).
% 64.47/64.61 cnf(4410,plain,
% 64.47/64.61 (~P75(a38)),
% 64.47/64.61 inference(scs_inference,[],[4409,279])).
% 64.47/64.61 cnf(4411,plain,
% 64.47/64.61 (P75(a38)),
% 64.47/64.61 inference(scs_inference,[],[4409,12])).
% 64.47/64.61 cnf(4415,plain,
% 64.47/64.61 ($false),
% 64.47/64.61 inference(scs_inference,[],[4410,4411]),
% 64.47/64.61 ['proof']).
% 64.47/64.61 % SZS output end Proof
% 64.47/64.61 % Total time :63.900000s
%------------------------------------------------------------------------------