TSTP Solution File: KRS108+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS108+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 05:39:17 EDT 2023
% Result : Unsatisfiable 0.22s 0.70s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS108+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 01:09:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.22/0.67 %-------------------------------------------
% 0.22/0.67 % File :CSE---1.6
% 0.22/0.67 % Problem :theBenchmark
% 0.22/0.67 % Transform :cnf
% 0.22/0.67 % Format :tptp:raw
% 0.22/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.67
% 0.22/0.67 % Result :Theorem 0.010000s
% 0.22/0.67 % Output :CNFRefutation 0.010000s
% 0.22/0.67 %-------------------------------------------
% 0.22/0.68 %------------------------------------------------------------------------------
% 0.22/0.68 % File : KRS108+1 : TPTP v8.1.2. Released v3.1.0.
% 0.22/0.68 % Domain : Knowledge Representation (Semantic Web)
% 0.22/0.68 % Problem : DL Test: t1.3
% 0.22/0.68 % Version : Especial.
% 0.22/0.68 % English :
% 0.22/0.68
% 0.22/0.68 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.22/0.68 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.22/0.68 % Source : [Bec03]
% 0.22/0.68 % Names : inconsistent_description-logic-Manifest608 [Bec03]
% 0.22/0.68
% 0.22/0.68 % Status : Unsatisfiable
% 0.22/0.68 % Rating : 0.00 v3.1.0
% 0.22/0.68 % Syntax : Number of formulae : 66 ( 1 unt; 0 def)
% 0.22/0.68 % Number of atoms : 182 ( 40 equ)
% 0.22/0.68 % Maximal formula atoms : 6 ( 2 avg)
% 0.22/0.68 % Number of connectives : 125 ( 9 ~; 0 |; 51 &)
% 0.22/0.68 % ( 21 <=>; 44 =>; 0 <=; 0 <~>)
% 0.22/0.68 % Maximal formula depth : 8 ( 5 avg)
% 0.22/0.68 % Maximal term depth : 1 ( 1 avg)
% 0.22/0.68 % Number of predicates : 31 ( 30 usr; 0 prp; 1-2 aty)
% 0.22/0.68 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.22/0.68 % Number of variables : 141 ( 125 !; 16 ?)
% 0.22/0.68 % SPC : FOF_UNS_RFO_SEQ
% 0.22/0.68
% 0.22/0.68 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.22/0.68 % datatypes, so this problem may not be perfect. At least it's
% 0.22/0.68 % still representative of the type of reasoning required for OWL.
% 0.22/0.68 %------------------------------------------------------------------------------
% 0.22/0.68 fof(cUnsatisfiable_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cUnsatisfiable(A) )
% 0.22/0.68 => cUnsatisfiable(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Ax14_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Ax14(A) )
% 0.22/0.68 => ca_Ax14(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx1_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx1(A) )
% 0.22/0.68 => ca_Cx1(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx1xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx1xcomp(A) )
% 0.22/0.68 => ca_Cx1xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx2_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx2(A) )
% 0.22/0.68 => ca_Cx2(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx2xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx2xcomp(A) )
% 0.22/0.68 => ca_Cx2xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx3_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx3(A) )
% 0.22/0.68 => ca_Cx3(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ca_Cx3xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ca_Cx3xcomp(A) )
% 0.22/0.68 => ca_Cx3xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cowlNothing_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cowlNothing(A) )
% 0.22/0.68 => cowlNothing(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cowlThing_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cowlThing(A) )
% 0.22/0.68 => cowlThing(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp1_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp1(A) )
% 0.22/0.68 => cp1(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp2_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp2(A) )
% 0.22/0.68 => cp2(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp2xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp2xcomp(A) )
% 0.22/0.68 => cp2xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp3_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp3(A) )
% 0.22/0.68 => cp3(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp3xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp3xcomp(A) )
% 0.22/0.68 => cp3xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp4_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp4(A) )
% 0.22/0.68 => cp4(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp4xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.69 & cp4xcomp(A) )
% 0.22/0.69 => cp4xcomp(B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(cp5_substitution_1,axiom,
% 0.22/0.69 ! [A,B] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & cp5(A) )
% 0.22/0.69 => cp5(B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(cp5xcomp_substitution_1,axiom,
% 0.22/0.69 ! [A,B] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & cp5xcomp(A) )
% 0.22/0.69 => cp5xcomp(B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px1_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px1(A,C) )
% 0.22/0.69 => ra_Px1(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px1_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px1(C,A) )
% 0.22/0.69 => ra_Px1(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px2_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px2(A,C) )
% 0.22/0.69 => ra_Px2(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px2_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px2(C,A) )
% 0.22/0.69 => ra_Px2(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px3_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px3(A,C) )
% 0.22/0.69 => ra_Px3(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px3_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px3(C,A) )
% 0.22/0.69 => ra_Px3(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px4_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px4(A,C) )
% 0.22/0.69 => ra_Px4(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px4_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px4(C,A) )
% 0.22/0.69 => ra_Px4(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px5_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px5(A,C) )
% 0.22/0.69 => ra_Px5(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px5_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px5(C,A) )
% 0.22/0.69 => ra_Px5(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px6_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px6(A,C) )
% 0.22/0.69 => ra_Px6(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px6_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px6(C,A) )
% 0.22/0.69 => ra_Px6(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px7_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px7(A,C) )
% 0.22/0.69 => ra_Px7(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(ra_Px7_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & ra_Px7(C,A) )
% 0.22/0.69 => ra_Px7(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(rinvR_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & rinvR(A,C) )
% 0.22/0.69 => rinvR(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(rinvR_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & rinvR(C,A) )
% 0.22/0.69 => rinvR(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(rr_substitution_1,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & rr(A,C) )
% 0.22/0.69 => rr(B,C) ) ).
% 0.22/0.69
% 0.22/0.69 fof(rr_substitution_2,axiom,
% 0.22/0.69 ! [A,B,C] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & rr(C,A) )
% 0.22/0.69 => rr(C,B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(xsd_integer_substitution_1,axiom,
% 0.22/0.69 ! [A,B] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & xsd_integer(A) )
% 0.22/0.69 => xsd_integer(B) ) ).
% 0.22/0.69
% 0.22/0.69 fof(xsd_string_substitution_1,axiom,
% 0.22/0.69 ! [A,B] :
% 0.22/0.69 ( ( A = B
% 0.22/0.69 & xsd_string(A) )
% 0.22/0.69 => xsd_string(B) ) ).
% 0.22/0.69
% 0.22/0.69 %----Thing and Nothing
% 0.22/0.69 fof(axiom_0,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cowlThing(X)
% 0.22/0.69 & ~ cowlNothing(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----String and Integer disjoint
% 0.22/0.69 fof(axiom_1,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( xsd_string(X)
% 0.22/0.69 <=> ~ xsd_integer(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cUnsatisfiable
% 0.22/0.69 fof(axiom_2,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cUnsatisfiable(X)
% 0.22/0.69 <=> ( ? [Y] :
% 0.22/0.69 ( rinvR(X,Y)
% 0.22/0.69 & ca_Ax14(Y) )
% 0.22/0.69 & cp2(X) ) ) ).
% 0.22/0.69
% 0.22/0.69 %----Super cp1
% 0.22/0.69 fof(axiom_3,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp1(X)
% 0.22/0.69 => ca_Cx1(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp2
% 0.22/0.69 fof(axiom_4,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp2(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px5(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Super cp2
% 0.22/0.69 fof(axiom_5,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp2(X)
% 0.22/0.69 => ca_Cx2(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp2xcomp
% 0.22/0.69 fof(axiom_6,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp2xcomp(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px5(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp3
% 0.22/0.69 fof(axiom_7,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp3(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px6(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Super cp3
% 0.22/0.69 fof(axiom_8,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp3(X)
% 0.22/0.69 => ca_Cx3(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp3xcomp
% 0.22/0.69 fof(axiom_9,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp3xcomp(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px6(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp4
% 0.22/0.69 fof(axiom_10,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp4(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px7(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Super cp4
% 0.22/0.69 fof(axiom_11,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp4(X)
% 0.22/0.69 => cp5xcomp(X) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp4xcomp
% 0.22/0.69 fof(axiom_12,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp4xcomp(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px7(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp5
% 0.22/0.69 fof(axiom_13,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp5(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px4(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality cp5xcomp
% 0.22/0.69 fof(axiom_14,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( cp5xcomp(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px4(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Ax14
% 0.22/0.69 fof(axiom_15,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Ax14(X)
% 0.22/0.69 <=> ( ? [Y] :
% 0.22/0.69 ( rr(X,Y)
% 0.22/0.69 & cp1(Y) )
% 0.22/0.69 & ! [Y0,Y1] :
% 0.22/0.69 ( ( rr(X,Y0)
% 0.22/0.69 & rr(X,Y1) )
% 0.22/0.69 => Y0 = Y1 ) ) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx1
% 0.22/0.69 fof(axiom_16,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx1(X)
% 0.22/0.69 <=> ( cp2xcomp(X)
% 0.22/0.69 & cp5xcomp(X)
% 0.22/0.69 & cp3xcomp(X)
% 0.22/0.69 & cp4xcomp(X) ) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx1
% 0.22/0.69 fof(axiom_17,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx1(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px1(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx1xcomp
% 0.22/0.69 fof(axiom_18,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx1xcomp(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px1(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx2
% 0.22/0.69 fof(axiom_19,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx2(X)
% 0.22/0.69 <=> ( cp5xcomp(X)
% 0.22/0.69 & cp3xcomp(X)
% 0.22/0.69 & cp4xcomp(X) ) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx2
% 0.22/0.69 fof(axiom_20,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx2(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px2(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx2xcomp
% 0.22/0.69 fof(axiom_21,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx2xcomp(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px2(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx3
% 0.22/0.69 fof(axiom_22,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx3(X)
% 0.22/0.69 <=> ~ ? [Y] : ra_Px3(X,Y) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx3
% 0.22/0.69 fof(axiom_23,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx3(X)
% 0.22/0.69 <=> ( cp5xcomp(X)
% 0.22/0.69 & cp4xcomp(X) ) ) ).
% 0.22/0.69
% 0.22/0.69 %----Equality ca_Cx3xcomp
% 0.22/0.69 fof(axiom_24,axiom,
% 0.22/0.69 ! [X] :
% 0.22/0.69 ( ca_Cx3xcomp(X)
% 0.22/0.69 <=> ? [Y0] : ra_Px3(X,Y0) ) ).
% 0.22/0.69
% 0.22/0.70 %----Inverse: rinvR
% 0.22/0.70 fof(axiom_25,axiom,
% 0.22/0.70 ! [X,Y] :
% 0.22/0.70 ( rinvR(X,Y)
% 0.22/0.70 <=> rr(Y,X) ) ).
% 0.22/0.70
% 0.22/0.70 %----i2003_11_14_17_21_04740
% 0.22/0.70 fof(axiom_26,axiom,
% 0.22/0.70 cUnsatisfiable(i2003_11_14_17_21_04740) ).
% 0.22/0.70
% 0.22/0.70 %------------------------------------------------------------------------------
% 0.22/0.70 %-------------------------------------------
% 0.22/0.70 % Proof found
% 0.22/0.70 % SZS status Theorem for theBenchmark
% 0.22/0.70 % SZS output start Proof
% 0.22/0.70 %ClaNum:119(EqnAxiom:59)
% 0.22/0.70 %VarNum:177(SingletonVarNum:81)
% 0.22/0.70 %MaxLitNum:5
% 0.22/0.70 %MaxfuncDepth:1
% 0.22/0.70 %SharedTerms:2
% 0.22/0.70 [60]P1(a1)
% 0.22/0.70 [61]~P2(x611)
% 0.22/0.70 [62]P29(x621)+P10(x621)
% 0.22/0.70 [63]~P11(x631)+P3(x631)
% 0.22/0.70 [64]~P12(x641)+P5(x641)
% 0.22/0.70 [65]~P13(x651)+P7(x651)
% 0.22/0.70 [66]~P1(x661)+P12(x661)
% 0.22/0.70 [67]~P3(x671)+P14(x671)
% 0.22/0.70 [68]~P3(x681)+P15(x681)
% 0.22/0.70 [69]~P5(x691)+P15(x691)
% 0.22/0.70 [70]~P3(x701)+P16(x701)
% 0.22/0.70 [71]~P5(x711)+P16(x711)
% 0.22/0.70 [72]~P7(x721)+P16(x721)
% 0.22/0.70 [73]~P3(x731)+P18(x731)
% 0.22/0.70 [74]~P5(x741)+P18(x741)
% 0.22/0.70 [75]~P7(x751)+P18(x751)
% 0.22/0.70 [76]~P17(x761)+P18(x761)
% 0.22/0.70 [77]~P29(x771)+~P10(x771)
% 0.22/0.70 [78]~P1(x781)+P4(f2(x781))
% 0.22/0.70 [79]~P4(x791)+P11(f3(x791))
% 0.22/0.70 [81]P6(x811)+P20(x811,f4(x811))
% 0.22/0.70 [82]P5(x821)+P21(x821,f8(x821))
% 0.22/0.70 [83]P7(x831)+P22(x831,f9(x831))
% 0.22/0.70 [84]P14(x841)+P23(x841,f12(x841))
% 0.22/0.70 [85]P15(x851)+P25(x851,f14(x851))
% 0.22/0.70 [86]P17(x861)+P26(x861,f16(x861))
% 0.22/0.70 [87]P19(x871)+P24(x871,f17(x871))
% 0.22/0.70 [96]~P3(x961)+P20(x961,f5(x961))
% 0.22/0.70 [97]~P8(x971)+P21(x971,f10(x971))
% 0.22/0.70 [98]~P9(x981)+P22(x981,f11(x981))
% 0.22/0.70 [99]~P18(x991)+P24(x991,f19(x991))
% 0.22/0.70 [100]~P12(x1001)+P23(x1001,f13(x1001))
% 0.22/0.70 [101]~P13(x1011)+P25(x1011,f15(x1011))
% 0.22/0.70 [102]~P16(x1021)+P26(x1021,f18(x1021))
% 0.22/0.70 [103]~P1(x1031)+P27(x1031,f2(x1031))
% 0.22/0.70 [104]~P4(x1041)+P28(x1041,f3(x1041))
% 0.22/0.70 [89]P3(x891)+~P20(x891,x892)
% 0.22/0.70 [90]P8(x901)+~P21(x901,x902)
% 0.22/0.70 [91]P9(x911)+~P22(x911,x912)
% 0.22/0.70 [92]P12(x921)+~P23(x921,x922)
% 0.22/0.70 [93]P13(x931)+~P25(x931,x932)
% 0.22/0.70 [94]P16(x941)+~P26(x941,x942)
% 0.22/0.70 [95]P18(x951)+~P24(x951,x952)
% 0.22/0.70 [105]~P6(x1051)+~P20(x1051,x1052)
% 0.22/0.70 [106]~P5(x1061)+~P21(x1061,x1062)
% 0.22/0.70 [107]~P7(x1071)+~P22(x1071,x1072)
% 0.22/0.70 [108]~P14(x1081)+~P23(x1081,x1082)
% 0.22/0.70 [109]~P15(x1091)+~P25(x1091,x1092)
% 0.22/0.70 [110]~P17(x1101)+~P26(x1101,x1102)
% 0.22/0.70 [111]~P19(x1111)+~P24(x1111,x1112)
% 0.22/0.70 [113]~P28(x1132,x1131)+P27(x1131,x1132)
% 0.22/0.70 [114]~P27(x1142,x1141)+P28(x1141,x1142)
% 0.22/0.70 [80]~P16(x801)+~P18(x801)+P7(x801)
% 0.22/0.70 [88]~P15(x881)+~P16(x881)+~P18(x881)+P5(x881)
% 0.22/0.70 [115]~P12(x1151)+~P27(x1151,x1152)+P1(x1151)+~P4(x1152)
% 0.22/0.70 [116]~P28(x1161,x1162)+P4(x1161)+~P11(x1162)+~E(f6(x1161),f7(x1161))
% 0.22/0.70 [118]~P28(x1181,x1182)+P4(x1181)+~P11(x1182)+P28(x1181,f7(x1181))
% 0.22/0.70 [119]~P28(x1191,x1192)+P4(x1191)+~P11(x1192)+P28(x1191,f6(x1191))
% 0.22/0.70 [117]~P28(x1173,x1172)+~P28(x1173,x1171)+E(x1171,x1172)+~P4(x1173)
% 0.22/0.70 [112]~P14(x1121)+~P15(x1121)+~P16(x1121)+~P18(x1121)+P3(x1121)
% 0.22/0.70 %EqnAxiom
% 0.22/0.70 [1]E(x11,x11)
% 0.22/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.70 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.22/0.70 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.22/0.70 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.22/0.70 [7]~E(x71,x72)+E(f8(x71),f8(x72))
% 0.22/0.70 [8]~E(x81,x82)+E(f9(x81),f9(x82))
% 0.22/0.70 [9]~E(x91,x92)+E(f12(x91),f12(x92))
% 0.22/0.70 [10]~E(x101,x102)+E(f14(x101),f14(x102))
% 0.22/0.70 [11]~E(x111,x112)+E(f16(x111),f16(x112))
% 0.22/0.70 [12]~E(x121,x122)+E(f17(x121),f17(x122))
% 0.22/0.70 [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 0.22/0.70 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.22/0.70 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 0.22/0.70 [16]~E(x161,x162)+E(f19(x161),f19(x162))
% 0.22/0.70 [17]~E(x171,x172)+E(f13(x171),f13(x172))
% 0.22/0.70 [18]~E(x181,x182)+E(f15(x181),f15(x182))
% 0.22/0.70 [19]~E(x191,x192)+E(f18(x191),f18(x192))
% 0.22/0.70 [20]~E(x201,x202)+E(f6(x201),f6(x202))
% 0.22/0.70 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.22/0.70 [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 0.22/0.70 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.22/0.70 [24]~P10(x241)+P10(x242)+~E(x241,x242)
% 0.22/0.70 [25]~P29(x251)+P29(x252)+~E(x251,x252)
% 0.22/0.70 [26]~P3(x261)+P3(x262)+~E(x261,x262)
% 0.22/0.70 [27]~P11(x271)+P11(x272)+~E(x271,x272)
% 0.22/0.70 [28]~P5(x281)+P5(x282)+~E(x281,x282)
% 0.22/0.70 [29]~P12(x291)+P12(x292)+~E(x291,x292)
% 0.22/0.70 [30]~P7(x301)+P7(x302)+~E(x301,x302)
% 0.22/0.70 [31]~P13(x311)+P13(x312)+~E(x311,x312)
% 0.22/0.70 [32]~P16(x321)+P16(x322)+~E(x321,x322)
% 0.22/0.70 [33]P28(x332,x333)+~E(x331,x332)+~P28(x331,x333)
% 0.22/0.70 [34]P28(x343,x342)+~E(x341,x342)+~P28(x343,x341)
% 0.22/0.70 [35]~P14(x351)+P14(x352)+~E(x351,x352)
% 0.22/0.70 [36]~P4(x361)+P4(x362)+~E(x361,x362)
% 0.22/0.70 [37]~P15(x371)+P15(x372)+~E(x371,x372)
% 0.22/0.70 [38]~P9(x381)+P9(x382)+~E(x381,x382)
% 0.22/0.70 [39]~P18(x391)+P18(x392)+~E(x391,x392)
% 0.22/0.70 [40]P22(x402,x403)+~E(x401,x402)+~P22(x401,x403)
% 0.22/0.70 [41]P22(x413,x412)+~E(x411,x412)+~P22(x413,x411)
% 0.22/0.70 [42]P23(x422,x423)+~E(x421,x422)+~P23(x421,x423)
% 0.22/0.70 [43]P23(x433,x432)+~E(x431,x432)+~P23(x433,x431)
% 0.22/0.70 [44]P27(x442,x443)+~E(x441,x442)+~P27(x441,x443)
% 0.22/0.70 [45]P27(x453,x452)+~E(x451,x452)+~P27(x453,x451)
% 0.22/0.70 [46]P24(x462,x463)+~E(x461,x462)+~P24(x461,x463)
% 0.22/0.70 [47]P24(x473,x472)+~E(x471,x472)+~P24(x473,x471)
% 0.22/0.70 [48]~P17(x481)+P17(x482)+~E(x481,x482)
% 0.22/0.70 [49]P25(x492,x493)+~E(x491,x492)+~P25(x491,x493)
% 0.22/0.70 [50]P25(x503,x502)+~E(x501,x502)+~P25(x503,x501)
% 0.22/0.70 [51]P26(x512,x513)+~E(x511,x512)+~P26(x511,x513)
% 0.22/0.70 [52]P26(x523,x522)+~E(x521,x522)+~P26(x523,x521)
% 0.22/0.70 [53]P20(x532,x533)+~E(x531,x532)+~P20(x531,x533)
% 0.22/0.70 [54]P20(x543,x542)+~E(x541,x542)+~P20(x543,x541)
% 0.22/0.70 [55]~P6(x551)+P6(x552)+~E(x551,x552)
% 0.22/0.70 [56]P21(x562,x563)+~E(x561,x562)+~P21(x561,x563)
% 0.22/0.70 [57]P21(x573,x572)+~E(x571,x572)+~P21(x573,x571)
% 0.22/0.70 [58]~P8(x581)+P8(x582)+~E(x581,x582)
% 0.22/0.70 [59]~P19(x591)+P19(x592)+~E(x591,x592)
% 0.22/0.70
% 0.22/0.70 %-------------------------------------------
% 0.22/0.70 cnf(121,plain,
% 0.22/0.70 (P5(a1)),
% 0.22/0.70 inference(scs_inference,[],[60,66,64])).
% 0.22/0.70 cnf(122,plain,
% 0.22/0.70 (P27(a1,f2(a1))),
% 0.22/0.70 inference(scs_inference,[],[60,66,64,103])).
% 0.22/0.70 cnf(126,plain,
% 0.22/0.70 (P4(f2(a1))),
% 0.22/0.70 inference(scs_inference,[],[60,66,64,103,100,78])).
% 0.22/0.70 cnf(129,plain,
% 0.22/0.70 (~P14(a1)),
% 0.22/0.70 inference(scs_inference,[],[60,66,64,103,100,78,36,108])).
% 0.22/0.70 cnf(131,plain,
% 0.22/0.70 (~P3(a1)),
% 0.22/0.70 inference(scs_inference,[],[60,66,64,103,100,78,36,108,67])).
% 0.22/0.70 cnf(137,plain,
% 0.22/0.70 (~E(x1371,a1)+~P3(x1371)),
% 0.22/0.70 inference(scs_inference,[],[60,66,64,103,100,78,36,108,67,63,35,27,26])).
% 0.22/0.70 cnf(142,plain,
% 0.22/0.70 (P28(f2(a1),a1)),
% 0.22/0.70 inference(scs_inference,[],[122,114])).
% 0.22/0.70 cnf(154,plain,
% 0.22/0.70 (P28(f2(a1),f3(f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[122,126,121,131,114,106,89,74,71,69,104])).
% 0.22/0.70 cnf(166,plain,
% 0.22/0.70 (~E(f3(f2(a1)),a1)),
% 0.22/0.70 inference(scs_inference,[],[122,126,121,129,131,114,106,89,74,71,69,104,102,99,84,79,63,137])).
% 0.22/0.70 cnf(191,plain,
% 0.22/0.70 (P18(f3(f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[122,126,121,129,131,114,106,89,74,71,69,104,102,99,84,79,63,137,109,101,97,81,56,80,117,67,108,100,2,113,111,110,73])).
% 0.22/0.70 cnf(193,plain,
% 0.22/0.70 (P16(f3(f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[122,126,121,129,131,114,106,89,74,71,69,104,102,99,84,79,63,137,109,101,97,81,56,80,117,67,108,100,2,113,111,110,73,70])).
% 0.22/0.70 cnf(216,plain,
% 0.22/0.70 ($false),
% 0.22/0.70 inference(scs_inference,[],[166,191,193,154,142,126,80,117]),
% 0.22/0.70 ['proof']).
% 0.22/0.70 % SZS output end Proof
% 0.22/0.70 % Total time :0.010000s
%------------------------------------------------------------------------------