%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Thu Sep 24 01:01:00 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 8
% Syntax : Number of formulae : 158 ( 14 unt; 0 def)
% Number of atoms : 697 ( 256 equ)
% Maximal formula atoms : 160 ( 4 avg)
% Number of connectives : 868 ( 329 ~; 479 |; 46 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 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 : 48 ( 3 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( cowlThing(ic)
& cowlThing(ib)
& requalityOnA(ia,ia)
& cowlThing(ia)
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> ( X4 = ic
| X4 = ib
| X4 = ia ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_6,axiom,
requalityOnA(ia,ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4,X5] :
( requalityOnA(X4,X5)
=> cA(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_2,axiom,
! [X4] :
( cA(X4)
<=> ( X4 = ia
| X4 = ib ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( requalityOnA(X6,X4)
& requalityOnA(X5,X4) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_8,axiom,
requalityOnA(ib,ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_8,negated_conjecture,
~ ( cowlThing(ic)
& cowlThing(ib)
& requalityOnA(ia,ia)
& cowlThing(ia)
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> ( X4 = ic
| X4 = ib
| X4 = ia ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_9,negated_conjecture,
~ ( cowlThing(ic)
& cowlThing(ib)
& requalityOnA(ia,ia)
& cowlThing(ia)
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> ( X4 = ic
| X4 = ib
| X4 = ia ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_10,plain,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_11,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_12,negated_conjecture,
( ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ic
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ic
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ib
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| esk3_0 != ia
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ic
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ic
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ib
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ia
| requalityOnA(esk5_0,esk6_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| ~ requalityOnA(esk6_0,esk5_0) )
& ( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_13,plain,
! [X32] :
( ~ cowlNothing(X32)
& cowlThing(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_14,plain,
! [X27] :
( ( xsd_string(X27)
| xsd_integer(X27) )
& ( ~ xsd_integer(X27)
| ~ xsd_string(X27) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| esk3_0 != ib
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
requalityOnA(ia,ia),
inference(split_conjunct,[status(thm)],[axiom_6]) ).
cnf(c_0_18,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ib
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_21,plain,
! [X35,X36] :
( cA(X36)
| ~ requalityOnA(X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_22,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( esk3_0 != ib
| requalityOnA(esk5_0,esk6_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( esk3_0 != ib
| requalityOnA(esk5_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
fof(c_0_25,plain,
! [X15] :
( ( cA(X15)
| X15 != ia )
& ( cA(X15)
| X15 != ib )
& ( X15 = ia
| X15 = ib
| ~ cA(X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_26,plain,
( ~ requalityOnA(X1,X2)
| cA(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( esk3_0 != ib
| requalityOnA(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| esk3_0 != ia
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ia
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
! [X22,X23,X24] :
( X23 = X24
| ~ requalityOnA(X24,X22)
| ~ requalityOnA(X23,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_31,plain,
( ~ cA(X1)
| X1 = ia
| X1 = ib ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( esk3_0 != ib
| cA(esk6_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( esk3_0 != ia
| requalityOnA(esk5_0,esk6_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( esk3_0 != ia
| requalityOnA(esk5_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_35,plain,
( ~ requalityOnA(X3,X2)
| ~ requalityOnA(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
requalityOnA(ib,ib),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_37,negated_conjecture,
( esk3_0 != ib
| esk6_0 = ia
| esk6_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( esk3_0 != ia
| requalityOnA(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_33]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,plain,
( ~ requalityOnA(X1,ib)
| X1 = ib ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( esk3_0 != ib
| requalityOnA(esk5_0,ib)
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( esk3_0 != ia
| cA(esk6_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_45,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_46,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ib
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,negated_conjecture,
( esk3_0 != ib
| esk5_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( esk3_0 != ia
| esk6_0 = ia
| esk6_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( requalityOnA(esk5_0,esk6_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_44]),c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_53,plain,
( ~ requalityOnA(X1,ia)
| X1 = ia ),
inference(spm,[status(thm)],[c_0_35,c_0_17]) ).
cnf(c_0_54,negated_conjecture,
( esk3_0 != ib
| requalityOnA(esk5_0,ia)
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_27,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( esk3_0 != ib
| ib != ia
| esk6_0 = ia ),
inference(ef,[status(thm)],[c_0_37]) ).
cnf(c_0_56,negated_conjecture,
( esk3_0 != ia
| requalityOnA(esk5_0,ib)
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( cA(esk6_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ib ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_51]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( esk3_0 != ib
| esk5_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( ib != ia
| esk3_0 != ib
| requalityOnA(esk5_0,ia) ),
inference(spm,[status(thm)],[c_0_27,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_62,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| esk3_0 != ia
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_63,negated_conjecture,
( esk3_0 != ia
| esk5_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| esk6_0 = ia
| esk6_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( ~ requalityOnA(esk6_0,ib)
| esk3_0 != ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( ib != ia
| esk3_0 != ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_53,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_68,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_69,negated_conjecture,
( esk3_0 != ia
| requalityOnA(esk5_0,ia)
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_38,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( esk3_0 != ia
| ib != ia
| esk6_0 = ia ),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_71,negated_conjecture,
( cA(esk4_0)
| esk6_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( esk3_0 != ib
| esk5_0 = ia
| esk6_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_37]),c_0_36])]) ).
cnf(c_0_73,negated_conjecture,
( ~ requalityOnA(esk6_0,ia)
| ib != ia
| esk3_0 != ib ),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| esk3_0 != ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_67]),c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( esk3_0 != ia
| esk5_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_53,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( ib != ia
| esk3_0 != ia
| requalityOnA(esk5_0,ia) ),
inference(spm,[status(thm)],[c_0_38,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( esk4_0 = ia
| esk4_0 = ib
| esk6_0 = ia
| esk6_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| esk3_0 != ib
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_58,c_0_48]) ).
cnf(c_0_79,negated_conjecture,
( esk3_0 != ib
| esk5_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_72]),c_0_53]) ).
cnf(c_0_80,negated_conjecture,
( ib != ia
| esk3_0 != ib ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_55]),c_0_17])]) ).
cnf(c_0_81,negated_conjecture,
( ~ requalityOnA(esk6_0,ib)
| esk3_0 != ia
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( ib != ia
| esk3_0 != ia
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_53,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk6_0 = ib
| esk6_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_64,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
esk3_0 != ib,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_17])]),c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( esk3_0 != ia
| esk5_0 = ia
| esk6_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_49]),c_0_36])]) ).
cnf(c_0_86,negated_conjecture,
( ~ requalityOnA(esk6_0,ia)
| ib != ia
| esk3_0 != ia ),
inference(spm,[status(thm)],[c_0_74,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( esk4_0 = ia
| esk6_0 = ia
| esk6_0 = ib ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_83]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| esk3_0 != ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_74,c_0_63]) ).
cnf(c_0_89,negated_conjecture,
( esk3_0 != ia
| esk5_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_85]),c_0_53]) ).
cnf(c_0_90,negated_conjecture,
( ib != ia
| esk3_0 != ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_70]),c_0_17])]) ).
cnf(c_0_91,negated_conjecture,
( requalityOnA(esk3_0,ia)
| esk6_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_64,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
esk3_0 != ia,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_17])]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( esk6_0 = ia
| esk6_0 = ib ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_91]),c_0_92]) ).
cnf(c_0_94,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,ib)
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_50,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| esk5_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_41,c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( cA(esk4_0)
| esk6_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_26,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( esk4_0 = ia
| esk4_0 = ib
| esk5_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_31,c_0_96]) ).
cnf(c_0_98,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk6_0 = ia
| esk5_0 = ib
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_95,c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ib
| esk6_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_98]),c_0_84]) ).
cnf(c_0_100,negated_conjecture,
( requalityOnA(esk3_0,ia)
| esk6_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_95,c_0_99]) ).
cnf(c_0_101,negated_conjecture,
( esk5_0 = ib
| esk6_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_100]),c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,ia)
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_50,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| esk5_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_53,c_0_102]) ).
cnf(c_0_104,negated_conjecture,
( cA(esk4_0)
| esk5_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_26,c_0_103]) ).
cnf(c_0_105,negated_conjecture,
( esk4_0 = ia
| esk4_0 = ib
| esk5_0 = ia
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_104]) ).
cnf(c_0_106,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_107,negated_conjecture,
( ~ cowlThing(ic)
| ~ cowlThing(ib)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ia)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ requalityOnA(esk6_0,esk5_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_108,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk5_0 = ib
| esk5_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_103,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_110,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_111,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia
| esk5_0 = ib ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_108]),c_0_84]) ).
cnf(c_0_112,negated_conjecture,
( ~ requalityOnA(esk6_0,esk5_0)
| requalityOnA(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_109]),c_0_110]) ).
cnf(c_0_113,negated_conjecture,
( requalityOnA(esk3_0,ia)
| esk5_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_103,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
( ~ requalityOnA(ib,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_112,c_0_93]) ).
cnf(c_0_115,negated_conjecture,
( esk5_0 = ia
| esk5_0 = ib ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_113]),c_0_92]) ).
cnf(c_0_116,negated_conjecture,
( ~ requalityOnA(ib,esk5_0)
| cA(esk4_0)
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_26,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( ~ requalityOnA(esk6_0,ib)
| requalityOnA(esk3_0,esk4_0)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_112,c_0_115]) ).
cnf(c_0_118,negated_conjecture,
( ~ requalityOnA(ib,esk5_0)
| esk4_0 = ia
| esk4_0 = ib
| esk6_0 = ia ),
inference(spm,[status(thm)],[c_0_31,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| esk5_0 = ia
| esk6_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_93]),c_0_36])]) ).
cnf(c_0_120,negated_conjecture,
( esk6_0 = ia
| esk4_0 = ib
| esk4_0 = ia
| esk5_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_115]),c_0_36])]) ).
cnf(c_0_121,negated_conjecture,
( ib != ia
| esk6_0 = ia ),
inference(ef,[status(thm)],[c_0_93]) ).
cnf(c_0_122,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk6_0 = ia
| esk5_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( ib != ia
| requalityOnA(esk3_0,esk4_0)
| requalityOnA(esk5_0,ia) ),
inference(spm,[status(thm)],[c_0_50,c_0_121]) ).
cnf(c_0_124,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia
| esk6_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_122]),c_0_84]) ).
cnf(c_0_125,negated_conjecture,
( ib != ia
| requalityOnA(esk3_0,esk4_0)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_53,c_0_123]) ).
cnf(c_0_126,negated_conjecture,
( requalityOnA(esk3_0,ia)
| esk6_0 = ia
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_119,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( ib != ia
| cA(esk4_0)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_26,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( esk5_0 = ia
| esk6_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_126]),c_0_92]) ).
cnf(c_0_129,negated_conjecture,
( ib != ia
| esk4_0 = ia
| esk4_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_31,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
( requalityOnA(esk3_0,esk4_0)
| esk5_0 = ia ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_128]),c_0_53]) ).
cnf(c_0_131,negated_conjecture,
( ib != ia
| esk5_0 = ia
| esk4_0 = ia ),
inference(ef,[status(thm)],[c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| ib != ia
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_121]) ).
cnf(c_0_133,negated_conjecture,
( cA(esk4_0)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_26,c_0_130]) ).
cnf(c_0_134,negated_conjecture,
( ib != ia
| requalityOnA(esk3_0,ia)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_125,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| ib != ia
| cA(esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( esk4_0 = ia
| esk4_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_31,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
( ib != ia
| esk5_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_134]),c_0_92]) ).
cnf(c_0_138,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| ib != ia
| esk4_0 = ia
| esk4_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk5_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_130,c_0_136]) ).
cnf(c_0_140,negated_conjecture,
( ~ requalityOnA(esk6_0,ia)
| ib != ia
| requalityOnA(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_137]) ).
cnf(c_0_141,negated_conjecture,
( ib != ia
| esk4_0 = ib
| esk4_0 = ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_137]),c_0_17])]) ).
cnf(c_0_142,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_139]),c_0_84]) ).
cnf(c_0_143,negated_conjecture,
( ib != ia
| requalityOnA(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_121]),c_0_17])]) ).
cnf(c_0_144,negated_conjecture,
( ib != ia
| esk4_0 = ia ),
inference(ef,[status(thm)],[c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| requalityOnA(esk3_0,esk4_0)
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_112,c_0_101]) ).
cnf(c_0_146,negated_conjecture,
( requalityOnA(esk3_0,ia)
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_130,c_0_142]) ).
cnf(c_0_147,negated_conjecture,
( ib != ia
| requalityOnA(esk3_0,ia) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| cA(esk4_0)
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_26,c_0_145]) ).
cnf(c_0_149,negated_conjecture,
esk5_0 = ia,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_146]),c_0_92]) ).
cnf(c_0_150,negated_conjecture,
ib != ia,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_147]),c_0_92]) ).
cnf(c_0_151,negated_conjecture,
( ~ requalityOnA(ia,esk5_0)
| esk4_0 = ia
| esk4_0 = ib
| esk5_0 = ib ),
inference(spm,[status(thm)],[c_0_31,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
requalityOnA(esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_149]),c_0_149]),c_0_17])]),c_0_150]) ).
cnf(c_0_153,negated_conjecture,
( esk4_0 = ib
| esk4_0 = ia ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_149]),c_0_149]),c_0_17])]),c_0_150]) ).
cnf(c_0_154,negated_conjecture,
( requalityOnA(esk3_0,ib)
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
esk4_0 = ia,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_154]),c_0_84]) ).
cnf(c_0_156,negated_conjecture,
requalityOnA(esk3_0,ia),
inference(rw,[status(thm)],[c_0_152,c_0_155]) ).
cnf(c_0_157,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_156]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 22:54:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 % Version: 3.5.1
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.46 % Starting sh5l with 300s (1) cores
% 0.11/0.46 % new_bool_3 with pid 231435 completed with status 0
% 0.11/0.46 % Result found by new_bool_3
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHSF-FFMS00-SFFFFFNN
% 0.11/0.46 % partial match(1): FGHSF-FFMM00-SFFFFFNN
% 0.11/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.46 % SubtermCWHack with pid 231440 completed with status 0
% 0.11/0.46 % Result found by SubtermCWHack
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHSF-FFMS00-SFFFFFNN
% 0.11/0.46 % partial match(1): FGHSF-FFMM00-SFFFFFNN
% 0.11/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.46 % Preprocessing time : 0.001 s
% 0.11/0.46
% 0.11/0.46 % Proof found!
% 0.11/0.46 % SZS status Theorem
% 0.11/0.46 % SZS output start CNFRefutation
% See solution above
% 0.11/0.46 % Parsed axioms : 18
% 0.11/0.46 % Removed by relevancy pruning/SinE : 0
% 0.11/0.46 % Initial clauses : 37
% 0.11/0.46 % Removed in clause preprocessing : 7
% 0.11/0.46 % Initial clauses in saturation : 30
% 0.11/0.46 % Processed clauses : 252
% 0.11/0.46 % ...of these trivial : 3
% 0.11/0.46 % ...subsumed : 43
% 0.11/0.46 % ...remaining for further processing : 206
% 0.11/0.46 % Other redundant clauses eliminated : 2
% 0.11/0.46 % Clauses deleted for lack of memory : 0
% 0.11/0.46 % Backward-subsumed : 150
% 0.11/0.46 % Backward-rewritten : 33
% 0.11/0.46 % Generated clauses : 763
% 0.11/0.46 % ...of the previous two non-redundant : 573
% 0.11/0.46 % ...aggressively subsumed : 0
% 0.11/0.46 % Contextual simplify-reflections : 31
% 0.11/0.46 % Paramodulations : 745
% 0.11/0.46 % Factorizations : 16
% 0.11/0.46 % NegExts : 0
% 0.11/0.46 % Equation resolutions : 2
% 0.11/0.46 % Disequality decompositions : 0
% 0.11/0.46 % Total rewrite steps : 371
% 0.11/0.46 % ...of those cached : 358
% 0.11/0.46 % Propositional unsat checks : 0
% 0.11/0.46 % Propositional check models : 0
% 0.11/0.46 % Propositional check unsatisfiable : 0
% 0.11/0.46 % Propositional clauses : 0
% 0.11/0.46 % Propositional clauses after purity: 0
% 0.11/0.46 % Propositional unsat core size : 0
% 0.11/0.46 % Propositional preprocessing time : 0.000
% 0.11/0.46 % Propositional encoding time : 0.000
% 0.11/0.46 % Propositional solver time : 0.000
% 0.11/0.46 % Success case prop preproc time : 0.000
% 0.11/0.46 % Success case prop encoding time : 0.000
% 0.11/0.46 % Success case prop solver time : 0.000
% 0.11/0.46 % Current number of processed clauses : 21
% 0.11/0.46 % Positive orientable unit clauses : 9
% 0.11/0.46 % Positive unorientable unit clauses: 0
% 0.11/0.46 % Negative unit clauses : 5
% 0.11/0.46 % Non-unit-clauses : 7
% 0.11/0.46 % Current number of unprocessed clauses: 10
% 0.11/0.46 % ...number of literals in the above : 32
% 0.11/0.46 % Current number of archived formulas : 0
% 0.11/0.46 % Current number of archived clauses : 183
% 0.11/0.46 % Clause-clause subsumption calls (NU) : 2083
% 0.11/0.46 % Rec. Clause-clause subsumption calls : 1333
% 0.11/0.46 % Non-unit clause-clause subsumptions : 169
% 0.11/0.46 % Unit Clause-clause subsumption calls : 71
% 0.11/0.46 % Rewrite failures with RHS unbound : 0
% 0.11/0.46 % BW rewrite match attempts : 6
% 0.11/0.46 % BW rewrite match successes : 6
% 0.11/0.46 % Condensation attempts : 0
% 0.11/0.46 % Condensation successes : 0
% 0.11/0.46 % Termbank termtop insertions : 9311
% 0.11/0.46 % Search garbage collected termcells : 575
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.015 s
% 0.11/0.46 % System time : 0.001 s
% 0.11/0.46 % Total time : 0.016 s
% 0.11/0.46 % Maximum resident set size: 3644 pages
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.017 s
% 0.11/0.46 % System time : 0.003 s
% 0.11/0.46 % Total time : 0.020 s
% 0.11/0.46 % Maximum resident set size: 4608 pages
% 0.11/0.46 % E exiting
%------------------------------------------------------------------------------