%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS138+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 : Tue May 5 04:36:35 PM UTC 2026
% Result : Theorem 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 8
% Syntax : Number of formulae : 158 ( 16 unt; 0 def)
% Number of atoms : 808 ( 292 equ)
% Maximal formula atoms : 160 ( 5 avg)
% Number of connectives : 973 ( 323 ~; 601 |; 38 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 49 ( 3 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> ( X4 = ia
| X4 = ib
| X4 = ic ) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& cowlThing(ia)
& requalityOnA(ia,ia)
& cowlThing(ib)
& cowlThing(ic) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_6,axiom,
requalityOnA(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4,X5] :
( requalityOnA(X4,X5)
=> cA(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_2,axiom,
! [X4] :
( cA(X4)
<=> ( X4 = ib
| X4 = ia ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( requalityOnA(X5,X4)
& requalityOnA(X6,X4) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_8,axiom,
requalityOnA(ib,ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_8,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> ( X4 = ia
| X4 = ib
| X4 = ic ) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& cowlThing(ia)
& requalityOnA(ia,ia)
& cowlThing(ib)
& cowlThing(ic) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_9,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_10,negated_conjecture,
( ( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ic
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ic
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( requalityOnA(esk5_0,esk6_0)
| esk3_0 != ic
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) )
& ( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ic
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_11,plain,
! [X53] :
( cowlThing(X53)
& ~ cowlNothing(X53) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_13,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X54] :
( ( ~ xsd_string(X54)
| ~ xsd_integer(X54) )
& ( xsd_integer(X54)
| xsd_string(X54) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_18,plain,
requalityOnA(ia,ia),
inference(split_conjunct,[status(thm)],[axiom_6]) ).
cnf(c_0_19,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
( xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_19]),c_0_20]) ).
fof(c_0_23,plain,
! [X59,X60] :
( ~ requalityOnA(X59,X60)
| cA(X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_24,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18])]),c_0_19]),c_0_22]) ).
fof(c_0_26,plain,
! [X55] :
( ( ~ cA(X55)
| X55 = ib
| X55 = ia )
& ( X55 != ib
| cA(X55) )
& ( X55 != ia
| cA(X55) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_27,plain,
( cA(X2)
| ~ requalityOnA(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]) ).
cnf(c_0_29,plain,
( X1 = ib
| X1 = ia
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| cA(esk6_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( esk6_0 = ia
| esk6_0 = ib
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_32,plain,
! [X56,X57,X58] :
( ~ requalityOnA(X57,X56)
| ~ requalityOnA(X58,X56)
| X57 = X58 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_33,negated_conjecture,
( esk6_0 = ib
| esk6_0 = ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
cnf(c_0_34,plain,
( X1 = X3
| ~ requalityOnA(X1,X2)
| ~ requalityOnA(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
requalityOnA(ib,ib),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_36,negated_conjecture,
( esk6_0 = ia
| esk6_0 = ib
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_33]) ).
cnf(c_0_37,plain,
( X1 = ib
| ~ requalityOnA(X1,ib) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( esk4_0 = ia
| esk6_0 = ib
| esk6_0 = ia
| requalityOnA(esk3_0,ib) ),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( esk6_0 = ib
| esk6_0 = ia
| X1 = esk3_0
| ~ requalityOnA(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( esk6_0 = ia
| esk6_0 = ib
| esk4_0 = ia
| esk3_0 = ib ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk6_0 = ib
| X1 = esk3_0
| ~ requalityOnA(X1,ia) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( esk3_0 = ia
| esk6_0 = ib
| esk6_0 = ia
| esk3_0 = ib ),
inference(spm,[status(thm)],[c_0_41,c_0_18]) ).
cnf(c_0_43,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,ib) ),
inference(spm,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( esk5_0 = ib
| esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ib
| esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_46]),c_0_37]) ).
cnf(c_0_48,plain,
( X1 = ia
| ~ requalityOnA(X1,ia) ),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_49,negated_conjecture,
( esk5_0 = ib
| esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,ia) ),
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_52,negated_conjecture,
( esk5_0 = ib
| esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_54,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_55,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_57,negated_conjecture,
( xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_58,negated_conjecture,
( esk5_0 = ib
| esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_18])]),c_0_19]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia
| esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_58]),c_0_37]) ).
cnf(c_0_61,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(ib,esk5_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_42]) ).
cnf(c_0_62,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_48]) ).
cnf(c_0_63,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(ib,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_42]) ).
cnf(c_0_64,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_35])]) ).
cnf(c_0_65,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_35])]) ).
cnf(c_0_66,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| esk5_0 = ia
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_64]),c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| esk5_0 = ia
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_67]) ).
cnf(c_0_69,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia
| esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_68]),c_0_37]) ).
cnf(c_0_70,negated_conjecture,
( X1 = esk5_0
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_71,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk6_0 = ia
| esk3_0 = ib ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_69]),c_0_48]) ).
cnf(c_0_72,negated_conjecture,
( esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia
| X1 = esk5_0
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(X1,ia) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk3_0 = ib
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_18]) ).
cnf(c_0_74,negated_conjecture,
( esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| esk3_0 = ib
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_74]) ).
cnf(c_0_76,negated_conjecture,
( esk4_0 = ia
| esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_37]) ).
cnf(c_0_77,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(ia,esk5_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_78,negated_conjecture,
( esk3_0 = ib
| esk3_0 = ia
| esk5_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_76]),c_0_48]) ).
cnf(c_0_79,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| esk5_0 = ib
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(ia,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_80,negated_conjecture,
( ib = ia
| esk3_0 = ib
| esk3_0 = ia
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_18])]) ).
cnf(c_0_81,negated_conjecture,
( ib = ia
| esk3_0 = ib
| esk3_0 = ia
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_18])]) ).
cnf(c_0_82,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| ib = ia
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_80]),c_0_81]) ).
cnf(c_0_83,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_84,negated_conjecture,
( ib = ia
| esk3_0 = ib
| esk3_0 = ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_86,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ib
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_87,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_88,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| ib = ia
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ia
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_90,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_91,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_92,negated_conjecture,
( xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_93,negated_conjecture,
( esk4_0 = ia
| ib = ia
| esk3_0 = ib
| esk3_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_88]),c_0_37]) ).
cnf(c_0_94,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_95,negated_conjecture,
( xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_96,negated_conjecture,
( xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ib ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_18])]),c_0_19]),c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( ib = ia
| esk3_0 = ib
| esk3_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_93]),c_0_48]) ).
cnf(c_0_98,negated_conjecture,
( xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0)
| esk3_0 != ia ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_18])]),c_0_19]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( ib = ia
| xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( ib = ia
| xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_102,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_103,negated_conjecture,
( ib = ia
| requalityOnA(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_99]),c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_105,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| esk3_0 != ib
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_106,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_107,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| esk3_0 != ia
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_108,negated_conjecture,
( ib = ia
| cA(esk6_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_110,negated_conjecture,
( xsd_string(esk2_0)
| esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_111,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| ~ requalityOnA(ia,ia)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).
cnf(c_0_112,negated_conjecture,
( xsd_string(esk2_0)
| esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_113,negated_conjecture,
( ib = ia
| esk6_0 = ia
| esk6_0 = ib ),
inference(spm,[status(thm)],[c_0_29,c_0_108]) ).
cnf(c_0_114,negated_conjecture,
( xsd_integer(esk2_0)
| esk3_0 != ib
| ~ xsd_string(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_18])]),c_0_19]) ).
cnf(c_0_115,negated_conjecture,
( esk3_0 != ib
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( xsd_integer(esk2_0)
| esk3_0 != ia
| ~ xsd_string(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_18])]),c_0_19]) ).
cnf(c_0_117,negated_conjecture,
( esk3_0 != ia
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( esk6_0 = ia
| ib = ia
| requalityOnA(esk5_0,ib) ),
inference(spm,[status(thm)],[c_0_103,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_114,c_0_110]),c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_116,c_0_112]),c_0_117]) ).
cnf(c_0_121,negated_conjecture,
( ib = ia
| esk6_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_37,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( esk6_0 = ia
| ib = ia
| esk3_0 != ib
| ~ requalityOnA(ib,esk5_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_113]) ).
cnf(c_0_123,negated_conjecture,
( esk6_0 = ia
| ib = ia
| esk3_0 != ia
| ~ requalityOnA(ib,esk5_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_113]) ).
cnf(c_0_124,negated_conjecture,
( esk5_0 = ib
| ib = ia
| requalityOnA(esk5_0,ia) ),
inference(spm,[status(thm)],[c_0_103,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( ib = ia
| esk6_0 = ia
| ~ requalityOnA(ib,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_97]),c_0_123]) ).
cnf(c_0_126,negated_conjecture,
( ib = ia
| esk5_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_48,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( esk5_0 = ib
| ib = ia
| esk3_0 != ib
| ~ requalityOnA(ia,esk5_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( esk5_0 = ib
| ib = ia
| esk3_0 != ia
| ~ requalityOnA(ia,esk5_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
( esk5_0 = ia
| esk6_0 = ia
| ib = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_35])]) ).
cnf(c_0_130,negated_conjecture,
( ib = ia
| esk5_0 = ib
| ~ requalityOnA(ia,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_97]),c_0_128]) ).
cnf(c_0_131,negated_conjecture,
( esk5_0 = ia
| ib = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_129]),c_0_48]) ).
cnf(c_0_132,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,ia) ),
inference(spm,[status(thm)],[c_0_59,c_0_78]) ).
cnf(c_0_133,negated_conjecture,
ib = ia,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_18])]) ).
cnf(c_0_134,negated_conjecture,
( esk3_0 = ib
| esk6_0 = ia
| esk3_0 = ia
| ib != ia ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_135,negated_conjecture,
( esk3_0 = ia
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,ia) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).
cnf(c_0_136,negated_conjecture,
( esk6_0 = ia
| esk3_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_133]),c_0_133])]) ).
cnf(c_0_137,negated_conjecture,
( esk3_0 = ia
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_18])]) ).
cnf(c_0_138,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,ia) ),
inference(spm,[status(thm)],[c_0_57,c_0_78]) ).
cnf(c_0_139,negated_conjecture,
( esk3_0 = ia
| requalityOnA(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
( esk3_0 = ia
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,ia) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_133])]),c_0_139]) ).
cnf(c_0_141,negated_conjecture,
( esk3_0 = ia
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_136]),c_0_18])]) ).
cnf(c_0_142,plain,
( X1 = ia
| ~ cA(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_133])]) ).
cnf(c_0_143,negated_conjecture,
( esk3_0 = ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( esk3_0 = ia
| X1 = esk3_0
| ~ requalityOnA(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( esk3_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
( esk3_0 = ia
| X1 = esk3_0
| ~ requalityOnA(X1,ia) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_147,negated_conjecture,
esk3_0 = ia,
inference(spm,[status(thm)],[c_0_146,c_0_18]) ).
cnf(c_0_148,negated_conjecture,
( xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_147])]) ).
cnf(c_0_149,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_148]) ).
cnf(c_0_150,negated_conjecture,
requalityOnA(esk5_0,esk6_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_147])]),c_0_149]) ).
cnf(c_0_151,negated_conjecture,
cA(esk6_0),
inference(spm,[status(thm)],[c_0_27,c_0_150]) ).
cnf(c_0_152,negated_conjecture,
esk6_0 = ia,
inference(spm,[status(thm)],[c_0_142,c_0_151]) ).
cnf(c_0_153,negated_conjecture,
~ requalityOnA(esk6_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_147])]) ).
cnf(c_0_154,negated_conjecture,
requalityOnA(esk5_0,ia),
inference(rw,[status(thm)],[c_0_150,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
~ requalityOnA(ia,esk5_0),
inference(rw,[status(thm)],[c_0_153,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
esk5_0 = ia,
inference(spm,[status(thm)],[c_0_48,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS138+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n018.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:38:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Theorem for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------