%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:46:07 AM UTC 2026
% Result : Theorem 0.18s 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 9
% Syntax : Number of formulae : 209 ( 13 unt; 0 def)
% Number of atoms : 766 ( 294 equ)
% Maximal formula atoms : 42 ( 3 avg)
% Number of connectives : 750 ( 193 ~; 522 |; 26 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 108 ( 11 sgn 30 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rsymProp_substitution_1,axiom,
! [A,B,C] :
( ( rsymProp(A,C)
& A = B )
=> rsymProp(B,C) ),
file('theBenchmark.p',rsymProp_substitution_1) ).
fof(rsymProp_substitution_2,axiom,
! [A,B,C] :
( ( rsymProp(C,A)
& A = B )
=> rsymProp(C,B) ),
file('theBenchmark.p',rsymProp_substitution_2) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X,Y] :
( rsymProp(X,Y)
=> ( Y = ib
| Y = ia ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X,Y] :
( rsymProp(X,Y)
=> rsymProp(Y,X) ),
file('theBenchmark.p',axiom_3) ).
fof(the_axiom,conjecture,
( ? [X] :
( cowlThing(X)
& rsymProp(ia,X) )
& ! [X,Y,Z] :
( ( rsymProp(Y,Z)
& rsymProp(X,Y) )
=> rsymProp(X,Z) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(the_axiom_neg,negated_conjecture,
~ ( ? [X] :
( cowlThing(X)
& rsymProp(ia,X) )
& ! [X,Y,Z] :
( ( rsymProp(Y,Z)
& rsymProp(X,Y) )
=> rsymProp(X,Z) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
cnf(c_14,plain,
( rsymProp(A,C)
| ~ rsymProp(B,C)
| A != B ),
inference(clausify,[status(thm)],[rsymProp_substitution_1]) ).
cnf(c_15,plain,
( rsymProp(C,A)
| ~ rsymProp(C,B)
| A != B ),
inference(clausify,[status(thm)],[rsymProp_substitution_2]) ).
cnf(c_18,plain,
cowlThing(A),
inference(clausify,[status(thm)],[axiom_0]) ).
cnf(c_19,plain,
~ cowlNothing(A),
inference(clausify,[status(thm)],[axiom_0]) ).
cnf(c_20,plain,
( ~ xsd_integer(A)
| ~ xsd_string(A) ),
inference(clausify,[status(thm)],[axiom_1]) ).
cnf(c_21,plain,
( xsd_integer(A)
| xsd_string(A) ),
inference(clausify,[status(thm)],[axiom_1]) ).
cnf(c_22,plain,
( ib = B
| ia = B
| ~ rsymProp(A,B) ),
inference(clausify,[status(thm)],[axiom_2]) ).
cnf(c_23,plain,
( rsymProp(B,A)
| ~ rsymProp(A,B) ),
inference(clausify,[status(thm)],[axiom_3]) ).
fof(axiom_5,axiom,
rsymProp(ia,ia),
file('theBenchmark.p',axiom_5) ).
cnf(c_24,plain,
rsymProp(ia,ia),
inference(clausify,[status(thm)],[axiom_5]) ).
fof(axiom_7,axiom,
rsymProp(ib,ib),
file('theBenchmark.p',axiom_7) ).
cnf(c_25,plain,
rsymProp(ib,ib),
inference(clausify,[status(thm)],[axiom_7]) ).
fof(nnf_11,plain,
( ! [X] :
( ~ cowlThing(X)
| ~ rsymProp(ia,X) )
| ? [X2,Y,Z] :
( ~ rsymProp(X2,Z)
& rsymProp(Y,Z)
& rsymProp(X2,Y) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(fof_nnf,[status(thm)],[the_axiom_neg]) ).
fof(sk_the_axiom_neg_sk,plain,
( ! [X] :
( ~ cowlThing(X)
| ~ rsymProp(ia,X) )
| ( ~ rsymProp(sK2,sK4)
& rsymProp(sK3,sK4)
& rsymProp(sK2,sK3) )
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(Y,sK3),skolemize(Z,sK4)],[nnf_11]) ).
fof(sk_the_axiom_neg,plain,
( ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) )
& ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) )
& ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) )
& ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) )
& ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) )
& ! [VAR_0] :
( ~ cowlThing(VAR_0)
| ~ rsymProp(ia,VAR_0)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ) ),
inference(cnf_transformation,[status(thm)],[sk_the_axiom_neg_sk]) ).
cnf(c_26,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_489,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_26]) ).
cnf(c_490,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_489]) ).
cnf(c_27,negated_conjecture,
( ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_490]) ).
cnf(c_28,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_491,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_28]) ).
cnf(c_492,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_491]) ).
cnf(c_29,negated_conjecture,
( ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_492]) ).
cnf(c_30,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_493,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_30]) ).
cnf(c_494,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_493]) ).
cnf(c_31,negated_conjecture,
( ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_494]) ).
cnf(c_32,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_495,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_32]) ).
cnf(c_496,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_495]) ).
cnf(c_33,negated_conjecture,
( ~ rsymProp(ia,A)
| rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_496]) ).
cnf(c_34,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_497,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_34]) ).
cnf(c_498,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_497]) ).
cnf(c_35,negated_conjecture,
( ~ rsymProp(ia,A)
| rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_498]) ).
cnf(c_36,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(split_conjunct,[status(thm)],[sk_the_axiom_neg]) ).
cnf(c_499,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK0) ),
inference(resolve,[status(thm)],[c_18,c_36]) ).
cnf(c_500,negated_conjecture,
( ~ cowlThing(A)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_19,c_499]) ).
cnf(c_37,negated_conjecture,
( ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_18,c_500]) ).
cnf(c_501,plain,
( rsymProp(ia,A)
| A != ia ),
inference(resolve,[status(thm)],[c_24,c_15]) ).
cnf(c_39,plain,
( rsymProp(ia,A)
| ia != A ),
inference(copy,[status(thm)],[c_501]) ).
cnf(c_502,plain,
( rsymProp(ib,A)
| A != ib ),
inference(resolve,[status(thm)],[c_25,c_15]) ).
cnf(c_41,plain,
( rsymProp(ib,A)
| ib != A ),
inference(copy,[status(thm)],[c_502]) ).
cnf(c_43,plain,
( rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_27,c_24]) ).
cnf(c_44,plain,
( rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_29,c_24]) ).
cnf(c_45,plain,
( ~ rsymProp(sK2,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_31,c_24]) ).
cnf(c_47,plain,
( rsymProp(sK2,sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_33,c_24]) ).
cnf(c_49,plain,
( rsymProp(sK3,sK4)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_35,c_24]) ).
cnf(c_503,negated_conjecture,
( xsd_integer(sK1)
| ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_37,c_21]) ).
cnf(c_50,negated_conjecture,
( ~ rsymProp(ia,A)
| ~ rsymProp(sK2,sK4)
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_503]) ).
cnf(c_504,plain,
( xsd_integer(sK1)
| rsymProp(sK2,sK3)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_47,c_21]) ).
cnf(c_52,plain,
( rsymProp(sK2,sK3)
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_504]) ).
cnf(c_53,plain,
( rsymProp(sK3,sK2)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_52,c_23]) ).
cnf(c_505,plain,
( ib = sK3
| ia = sK3
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_52,c_22]) ).
cnf(c_506,plain,
( ib = sK3
| sK3 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_505]) ).
cnf(c_54,plain,
( sK3 = ib
| sK3 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_506]) ).
cnf(c_507,plain,
( rsymProp(sK2,A)
| A != sK3
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_52,c_15]) ).
cnf(c_55,plain,
( rsymProp(sK2,A)
| sK3 != A
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_507]) ).
cnf(c_508,plain,
( ib = sK2
| ia = sK2
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_53,c_22]) ).
cnf(c_509,plain,
( ib = sK2
| sK2 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_508]) ).
cnf(c_57,plain,
( sK2 = ib
| sK2 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_509]) ).
cnf(c_510,plain,
( xsd_integer(sK1)
| rsymProp(sK3,sK4)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_49,c_21]) ).
cnf(c_60,plain,
( rsymProp(sK3,sK4)
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_510]) ).
cnf(c_511,plain,
( ib = sK4
| ia = sK4
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_60,c_22]) ).
cnf(c_512,plain,
( ib = sK4
| sK4 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_511]) ).
cnf(c_62,plain,
( sK4 = ib
| sK4 = ia
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_512]) ).
cnf(c_513,plain,
( rsymProp(A,sK4)
| A != sK3
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_60,c_14]) ).
cnf(c_64,plain,
( rsymProp(A,sK4)
| sK3 != A
| xsd_integer(sK1) ),
inference(copy,[status(thm)],[c_513]) ).
cnf(c_67,plain,
( ~ rsymProp(sK2,sK4)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_50,c_24]) ).
cnf(c_70,plain,
( rsymProp(sK2,sK3)
| xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(resolve,[status(thm)],[c_54,c_43]) ).
cnf(c_71,plain,
( ~ xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(resolve,[status(thm)],[c_54,c_20]) ).
cnf(c_75,plain,
( rsymProp(sK2,sK3)
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(resolve,[status(thm)],[c_57,c_43]) ).
cnf(c_76,plain,
( ~ xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(resolve,[status(thm)],[c_57,c_20]) ).
cnf(c_79,plain,
( rsymProp(sK3,sK4)
| xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(resolve,[status(thm)],[c_62,c_44]) ).
cnf(c_81,plain,
( ~ xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(resolve,[status(thm)],[c_62,c_20]) ).
cnf(c_514,plain,
( ib = sK3
| ia = sK3
| xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(resolve,[status(thm)],[c_70,c_22]) ).
cnf(c_515,plain,
( ib = sK3
| sK3 = ia
| xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_514]) ).
cnf(c_516,plain,
( sK3 = ib
| sK3 = ia
| xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_515]) ).
cnf(c_517,plain,
( sK3 = ib
| xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_516]) ).
cnf(c_88,plain,
( xsd_string(sK1)
| sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_517]) ).
cnf(c_518,plain,
( sK3 = ib
| sK3 = ia
| sK3 = ib
| sK3 = ia ),
inference(resolve,[status(thm)],[c_88,c_71]) ).
cnf(c_519,plain,
( sK3 = ib
| sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_518]) ).
cnf(c_91,plain,
( sK3 = ib
| sK3 = ia ),
inference(copy,[status(thm)],[c_519]) ).
cnf(c_93,plain,
( rsymProp(ib,sK4)
| xsd_integer(sK1)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_91,c_64]) ).
cnf(c_95,plain,
( rsymProp(sK2,ib)
| xsd_integer(sK1)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_91,c_55]) ).
cnf(c_520,plain,
( rsymProp(C,A)
| ~ rsymProp(C,B)
| B != A ),
inference(copy,[status(thm)],[c_15]) ).
cnf(c_106,plain,
( rsymProp(A,ib)
| ~ rsymProp(A,sK3)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_91,c_520]) ).
cnf(c_521,plain,
( rsymProp(A,C)
| ~ rsymProp(B,C)
| B != A ),
inference(copy,[status(thm)],[c_14]) ).
cnf(c_107,plain,
( rsymProp(ib,A)
| ~ rsymProp(sK3,A)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_91,c_521]) ).
cnf(c_522,plain,
( rsymProp(A,sK4)
| A != ib
| xsd_integer(sK1)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_93,c_14]) ).
cnf(c_121,plain,
( rsymProp(A,sK4)
| ib != A
| xsd_integer(sK1)
| sK3 = ia ),
inference(copy,[status(thm)],[c_522]) ).
cnf(c_126,plain,
( rsymProp(sK3,sK2)
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(resolve,[status(thm)],[c_75,c_23]) ).
cnf(c_523,plain,
( ib = sK4
| ia = sK4
| xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(resolve,[status(thm)],[c_79,c_22]) ).
cnf(c_524,plain,
( ib = sK4
| sK4 = ia
| xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_523]) ).
cnf(c_525,plain,
( sK4 = ib
| sK4 = ia
| xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_524]) ).
cnf(c_526,plain,
( sK4 = ib
| xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_525]) ).
cnf(c_136,plain,
( xsd_string(sK1)
| sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_526]) ).
cnf(c_527,plain,
( sK4 = ib
| sK4 = ia
| sK4 = ib
| sK4 = ia ),
inference(resolve,[status(thm)],[c_136,c_81]) ).
cnf(c_528,plain,
( sK4 = ib
| sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_527]) ).
cnf(c_137,plain,
( sK4 = ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_528]) ).
cnf(c_143,plain,
( rsymProp(A,sK4)
| ~ rsymProp(A,ib)
| sK4 = ia ),
inference(resolve,[status(thm)],[c_137,c_15]) ).
cnf(c_529,plain,
( rsymProp(ib,A)
| A != ib ),
inference(copy,[status(thm)],[c_41]) ).
cnf(c_149,plain,
( rsymProp(ib,sK4)
| sK4 = ia ),
inference(resolve,[status(thm)],[c_137,c_529]) ).
cnf(c_530,plain,
( rsymProp(A,sK4)
| A != ib
| sK4 = ia ),
inference(resolve,[status(thm)],[c_149,c_14]) ).
cnf(c_158,plain,
( rsymProp(A,sK4)
| ib != A
| sK4 = ia ),
inference(copy,[status(thm)],[c_530]) ).
cnf(c_171,plain,
( xsd_integer(sK1)
| sK3 = ia
| rsymProp(sK2,sK4)
| sK4 = ia ),
inference(resolve,[status(thm)],[c_143,c_95]) ).
cnf(c_531,plain,
( ib = sK2
| ia = sK2
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(resolve,[status(thm)],[c_126,c_22]) ).
cnf(c_532,plain,
( ib = sK2
| sK2 = ia
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_533,plain,
( sK2 = ib
| sK2 = ia
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_532]) ).
cnf(c_534,plain,
( sK2 = ib
| xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_533]) ).
cnf(c_185,plain,
( xsd_string(sK1)
| sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_534]) ).
cnf(c_535,plain,
( sK2 = ib
| sK2 = ia
| sK2 = ib
| sK2 = ia ),
inference(resolve,[status(thm)],[c_185,c_76]) ).
cnf(c_536,plain,
( sK2 = ib
| sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_535]) ).
cnf(c_186,plain,
( sK2 = ib
| sK2 = ia ),
inference(copy,[status(thm)],[c_536]) ).
cnf(c_193,plain,
( rsymProp(sK2,A)
| ~ rsymProp(ib,A)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_186,c_14]) ).
cnf(c_537,plain,
( rsymProp(A,sK4)
| A != ib
| sK4 = ia ),
inference(copy,[status(thm)],[c_158]) ).
cnf(c_195,plain,
( rsymProp(sK2,sK4)
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_186,c_537]) ).
cnf(c_538,plain,
( rsymProp(A,sK4)
| A != ib
| xsd_integer(sK1)
| sK3 = ia ),
inference(copy,[status(thm)],[c_121]) ).
cnf(c_198,plain,
( rsymProp(sK2,sK4)
| xsd_integer(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_186,c_538]) ).
cnf(c_225,plain,
( xsd_integer(sK1)
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_195,c_67]) ).
cnf(c_226,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_195,c_45]) ).
cnf(c_232,plain,
( ~ xsd_string(sK1)
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_225,c_20]) ).
cnf(c_539,plain,
( xsd_integer(sK1)
| xsd_integer(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_171,c_67]) ).
cnf(c_240,plain,
( xsd_integer(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_539]) ).
cnf(c_241,plain,
( ~ rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_240,c_45]) ).
cnf(c_242,plain,
( rsymProp(sK2,sK3)
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_240,c_43]) ).
cnf(c_243,plain,
( ~ xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_240,c_20]) ).
cnf(c_540,plain,
( sK4 = ia
| sK2 = ia
| xsd_string(sK1)
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_226,c_225]) ).
cnf(c_541,plain,
( sK4 = ia
| xsd_string(sK1)
| sK4 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_540]) ).
cnf(c_254,plain,
( xsd_string(sK1)
| sK4 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_541]) ).
cnf(c_542,plain,
( sK4 = ia
| sK2 = ia
| sK4 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_254,c_232]) ).
cnf(c_543,plain,
( sK4 = ia
| sK4 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_542]) ).
cnf(c_256,plain,
( sK4 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_543]) ).
cnf(c_264,plain,
( rsymProp(A,sK4)
| ~ rsymProp(A,ia)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_256,c_15]) ).
cnf(c_544,plain,
( xsd_integer(sK1)
| xsd_integer(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_198,c_67]) ).
cnf(c_287,plain,
( xsd_integer(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_544]) ).
cnf(c_288,plain,
( ~ rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_287,c_45]) ).
cnf(c_289,plain,
( rsymProp(sK3,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_287,c_44]) ).
cnf(c_290,plain,
( ~ xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_287,c_20]) ).
cnf(c_545,plain,
( rsymProp(sK2,ib)
| sK3 = ia
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_242,c_106]) ).
cnf(c_292,plain,
( rsymProp(sK2,ib)
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_545]) ).
cnf(c_546,plain,
( rsymProp(ib,sK4)
| sK3 = ia
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_289,c_107]) ).
cnf(c_297,plain,
( rsymProp(ib,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_546]) ).
cnf(c_547,plain,
( rsymProp(sK2,sK4)
| sK4 = ia
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_292,c_143]) ).
cnf(c_301,plain,
( rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_547]) ).
cnf(c_548,plain,
( rsymProp(sK2,sK4)
| sK2 = ia
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_297,c_193]) ).
cnf(c_311,plain,
( rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_548]) ).
cnf(c_549,plain,
( xsd_string(sK1)
| sK3 = ia
| sK4 = ia
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_301,c_241]) ).
cnf(c_550,plain,
( xsd_string(sK1)
| sK3 = ia
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_549]) ).
cnf(c_551,plain,
( xsd_string(sK1)
| xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_550]) ).
cnf(c_317,plain,
( xsd_string(sK1)
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_551]) ).
cnf(c_552,plain,
( sK3 = ia
| sK4 = ia
| sK3 = ia
| sK4 = ia ),
inference(resolve,[status(thm)],[c_317,c_243]) ).
cnf(c_553,plain,
( sK3 = ia
| sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_552]) ).
cnf(c_318,plain,
( sK3 = ia
| sK4 = ia ),
inference(copy,[status(thm)],[c_553]) ).
cnf(c_554,plain,
( rsymProp(ia,A)
| A != ia ),
inference(copy,[status(thm)],[c_39]) ).
cnf(c_329,plain,
( rsymProp(ia,sK4)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_318,c_554]) ).
cnf(c_555,plain,
( xsd_string(sK1)
| sK3 = ia
| sK2 = ia
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_311,c_288]) ).
cnf(c_556,plain,
( xsd_string(sK1)
| sK3 = ia
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_555]) ).
cnf(c_557,plain,
( xsd_string(sK1)
| xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_556]) ).
cnf(c_358,plain,
( xsd_string(sK1)
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_557]) ).
cnf(c_558,plain,
( sK3 = ia
| sK2 = ia
| sK3 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_358,c_290]) ).
cnf(c_559,plain,
( sK3 = ia
| sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_558]) ).
cnf(c_359,plain,
( sK3 = ia
| sK2 = ia ),
inference(copy,[status(thm)],[c_559]) ).
cnf(c_363,plain,
( rsymProp(sK2,ia)
| xsd_integer(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_359,c_55]) ).
cnf(c_560,plain,
( rsymProp(C,A)
| ~ rsymProp(C,B)
| B != A ),
inference(copy,[status(thm)],[c_15]) ).
cnf(c_378,plain,
( rsymProp(A,ia)
| ~ rsymProp(A,sK3)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_359,c_560]) ).
cnf(c_561,plain,
( rsymProp(sK2,sK4)
| sK2 = ia
| xsd_integer(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_363,c_264]) ).
cnf(c_404,plain,
( rsymProp(sK2,sK4)
| xsd_integer(sK1)
| sK2 = ia ),
inference(copy,[status(thm)],[c_561]) ).
cnf(c_562,plain,
( xsd_integer(sK1)
| xsd_integer(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_404,c_67]) ).
cnf(c_415,plain,
( xsd_integer(sK1)
| sK2 = ia ),
inference(copy,[status(thm)],[c_562]) ).
cnf(c_416,plain,
( ~ rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_415,c_45]) ).
cnf(c_417,plain,
( rsymProp(sK2,sK3)
| xsd_string(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_415,c_43]) ).
cnf(c_418,plain,
( ~ xsd_string(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_415,c_20]) ).
cnf(c_563,plain,
( xsd_string(sK1)
| sK2 = ia
| rsymProp(sK2,ia)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_378,c_417]) ).
cnf(c_435,plain,
( xsd_string(sK1)
| rsymProp(sK2,ia)
| sK2 = ia ),
inference(copy,[status(thm)],[c_563]) ).
cnf(c_564,plain,
( rsymProp(sK2,sK4)
| sK2 = ia
| xsd_string(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_435,c_264]) ).
cnf(c_440,plain,
( rsymProp(sK2,sK4)
| xsd_string(sK1)
| sK2 = ia ),
inference(copy,[status(thm)],[c_564]) ).
cnf(c_565,plain,
( xsd_string(sK1)
| sK2 = ia
| xsd_string(sK1)
| sK2 = ia ),
inference(resolve,[status(thm)],[c_440,c_416]) ).
cnf(c_566,plain,
( xsd_string(sK1)
| xsd_string(sK1)
| sK2 = ia ),
inference(copy,[status(thm)],[c_565]) ).
cnf(c_449,plain,
( xsd_string(sK1)
| sK2 = ia ),
inference(copy,[status(thm)],[c_566]) ).
cnf(c_567,plain,
( sK2 = ia
| sK2 = ia ),
inference(resolve,[status(thm)],[c_449,c_418]) ).
cnf(c_450,plain,
sK2 = ia,
inference(copy,[status(thm)],[c_567]) ).
cnf(c_451,plain,
( ~ rsymProp(ia,sK4)
| xsd_integer(sK1) ),
inference(paramod,[status(thm)],[c_450,c_67]) ).
cnf(c_458,plain,
( ~ rsymProp(ia,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(paramod,[status(thm)],[c_450,c_45]) ).
cnf(c_460,plain,
( sK3 = ia
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_451,c_329]) ).
cnf(c_462,plain,
( ~ xsd_string(sK1)
| sK3 = ia ),
inference(resolve,[status(thm)],[c_460,c_20]) ).
cnf(c_465,plain,
( sK3 = ia
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_458,c_329]) ).
cnf(c_568,plain,
( sK3 = ia
| sK3 = ia
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_465,c_460]) ).
cnf(c_467,plain,
( sK3 = ia
| xsd_string(sK1) ),
inference(copy,[status(thm)],[c_568]) ).
cnf(c_569,plain,
( sK3 = ia
| sK3 = ia ),
inference(resolve,[status(thm)],[c_467,c_462]) ).
cnf(c_468,plain,
sK3 = ia,
inference(copy,[status(thm)],[c_569]) ).
cnf(c_480,plain,
( rsymProp(ia,sK4)
| xsd_integer(sK1) ),
inference(paramod,[status(thm)],[c_468,c_60]) ).
cnf(c_481,plain,
( rsymProp(ia,sK4)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(paramod,[status(thm)],[c_468,c_44]) ).
cnf(c_570,plain,
( xsd_integer(sK1)
| xsd_integer(sK1) ),
inference(resolve,[status(thm)],[c_480,c_451]) ).
cnf(c_482,plain,
xsd_integer(sK1),
inference(copy,[status(thm)],[c_570]) ).
cnf(c_483,plain,
( rsymProp(ia,sK4)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_482,c_481]) ).
cnf(c_484,plain,
( ~ rsymProp(ia,sK4)
| xsd_string(sK1) ),
inference(resolve,[status(thm)],[c_482,c_458]) ).
cnf(c_485,plain,
~ xsd_string(sK1),
inference(resolve,[status(thm)],[c_482,c_20]) ).
cnf(c_487,plain,
~ rsymProp(ia,sK4),
inference(resolve,[status(thm)],[c_485,c_484]) ).
cnf(c_571,plain,
rsymProp(ia,sK4),
inference(resolve,[status(thm)],[c_485,c_483]) ).
cnf(c_488,plain,
$false,
inference(resolve,[status(thm)],[c_487,c_571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 19:40:49 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 932907 was started by sandbox on n014,
% 0.18/0.45 % Fri Sep 25 19:40:49 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.45
% 0.18/0.45 % From the command line: assign(max_seconds, 300).
% 0.18/0.53
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53
% 0.18/0.53 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.18/0.53 % Length of proof is 120.
% 0.18/0.53 % Level of proof is 34.
% 0.18/0.53 % Maximum clause weight is 16.000.
% 0.18/0.53 % Given clauses 330.
% 0.18/0.53
% 0.18/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
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